The Math AutoCorrect feature represents a significant advancement in the simplification of creating mathematical equations and expressions. It provides users with the ability to insert special mathematical characters and symbols effortlessly through the use of predefined commands and their associated Unicode values. This functionality not only enhances productivity by reducing the time spent navigating complex menu options for symbol insertion but also guarantees consistent formatting throughout the document.
This article will provide a comprehensive list of mathematical symbols supported by Math AutoCorrect, detailing their descriptions, associated Unicode values, and corresponding commands to enable effective utilization of this feature.
Important Notes and Tips
- These codes are available in Word, PowerPoint, Excel, and OneNote for Windows and Mac, and in Outlook for Windows. Some codes are not available in older versions. On mobile, they are only available in Word. They are not supported in web apps.
- To find a Symbol name, Unicode value, or AutoCorrect command on this webpage, use Ctrl+F (or Cmd+F on a Mac).
- The names of the symbols in the document may not always correspond to the symbol names which are read by a screen reader.
- The AutoCorrect codes are case sensitive.
- To open the equation tool, select Insert, then Equation. Or use the shortcut Alt+Equals (Windows) or Ctrl+Equals (Mac). An equation box should appear on the screen.
- In Word, make sure Unicode conversion mode is selected in equation settings. If LaTeX mode is chosen, the AutoCorrect commands will not work.
- Type one of the Math AutoCorrect codes from the charts below, followed by a delimiting term (often the SPACEBAR key, sometimes mathematical operators such as the + sign). For instance, typing \infty or \infinity followed by SPACEBAR will convert to the infinity symbol (∞).
- For more details about using Math AutoCorrect commands, refer to the DAISY Math Consortium’s List of Commonly Used Math AutoCorrect Entries in Word 365.
- In Word for Windows, you can also enter symbols by typing their Unicode hexadecimal value without the U+ prefix and then pressing Alt+X. For example, typing 22BF followed by Alt+X inserts the right triangle symbol.
- To learn how to insert mathematical symbols using the equation toolbar (instead of using keystrokes), refer to Insert mathematical symbols.
In this topic
- Turn on the AutoCorrect settings
- Currency Symbols
- Basic Math
- Number Theory
- Statistics and Probability
- Greek Letters
- Letter-Like Symbols
- Common Binary Operators
- Common Relational Operators
- Basic N-ary Operators
- Logic/Boolean Operations
- Advanced Binary Operators
- Advanced Relational Operators
- Matrix Operations
- Arrows
- Negated Relations
- Geometry
- Scripts
Turn on Automatic Expression Conversion
- Open Microsoft Word and navigate to the Insert tab.
- Navigate to the Equations split button in the Symbols group.
- On the Equations tab, select the arrow (Equation Options button) in the bottom right corner of the Conversions group. The Equation Options dialog will open.
- Check the box to turn on "Automatically convert expressions to professional format". This option will automatically recognize and convert expressions as they are typed.
Reset the AutoCorrect list to the built-in list
If you have customized the Math AutoCorrect list by adding, deleting, or replacing any items in the past, items provided in the latest version may not take effect. To reset the list so that it includes items in the latest version without your customizations, follow these steps:
On Windows:
- Open PowerShell.
- Run the following command:
del $env:appdata\Microsoft\Office\mso0127.acl - Restart the app.
On Mac:
- Open Terminal.
- Run the following command:
rm ~/Library/Group\ Containers/UBF8T346G9.Office/Microsoft\ Office\ ACL\ [Math] - Restart the app.
After the restart, the app will load the latest AutoCorrect list.
Currency Symbols
| Symbol | Symbol Name | Symbol Visual Description | AutoCorrect Command | Unicode |
|---|---|---|---|---|
| ¢ | Cents sign | A lowercase letter c with a vertical line passing through its center. | \cents | U+00A |
Basic Math
This table provides symbols relevant to basic mathematics, accompanied by their descriptions, symbol visual description, Unicode, and respective AutoCorrect commands in Word.
| Symbol | Symbol Name | Symbol Visual Description | AutoCorrect Command | Unicode |
|---|---|---|---|---|
| ± | Plus minus | A plus sign stacked above a minus sign. | \pm | U+00B1 |
| ∞ | Infinity | A figure-eight shape rotated through 90 degrees. The symbol resembles a figure of 8 lying on its side. | \infty or \infinity | U+221E |
| = | Equals | Two short, parallel horizontal lines of equal length. | = | U+003D |
| ≠ | Not equal to | Two short, parallel horizontal lines of equal length struck through with a diagonal line sloping up from left to right. | \neq or \ne | U+2260 |
| ∼ | Approximately | A short, horizontal, wavy line. The first wave is concave down and the second wave is concave up. | \sim | U+223C |
| × | Multiplication sign | An X-shaped cross. The symbol resembles a lowercase letter X. | \times | U+00D7 |
| ÷ | Division sign | A horizontal line with one small dot positioned centrally above the line and one small dot positioned centrally below the line. | \div | U+00F7 |
| ! | Factorial | A vertical line positioned above a small dot. The symbol is identical to an exclamation mark. | ! | U+0021 |
| ∝ | Proportional to | A horizontal figure-eight shape with a gap on the right side of the righthand loop. The symbol resembles a lapel ribbon rotated counterclockwise through 90 degrees. | \propto | U+221D |
| < | Less Than | A sharp-angled, left-facing arrowhead. The symbol resembles a V-shape pointing to the left. | < | U+003C |
| ≪ | Much less than | Two stacked, left-facing arrowheads. The symbol resembles two V-shapes or chevrons positioned side by side and pointing to the left. | \ll or \muchless | U+226A |
| > | Greater than | A sharp-angled, right-facing arrowhead. The symbol resembles a V-shape pointing to the right. | > | U+003E |
| ≫ | Much greater than | Two stacked, right-facing arrowheads. The symbol resembles two V-shapes or chevrons positioned side by side and pointing to the right. | \gg or \muchgreater | U+226B |
| ≤ | Less than or equal to | A sharp-angled, left-facing arrowhead, resembling a V-shape pointing to the left, is positioned above a short, horizontal line. | \leq | U+2264 |
| ≥ | Greater than or equal to | A sharp-angled, right-facing arrowhead, resembling a V-shape pointing to the right, is positioned above a short, horizontal line. | \geq or \ge | U+2265 |
| ∓ | Minus plus | A minus sign stacked above a plus sign. | \mp | U+2213 |
| ≅ | Approximately equal to | A short, wavy line stacked above two short, parallel horizontal lines of equal length. The symbol is identical to a tilde stacked above an equals sign. | \cong | U+2245 |
| ≈ | Almost equal to | Two, short, horizontal wavy lines, stacked one above the other. | \approx | U+2248 |
| ≡ | Identical to | A stack of three short, parallel horizontal lines of equal length. | \equiv | U+2261 |
| ∀ | For all | An inverted, uppercase letter A. | \forall or \foreach |
U+2200 |
| ∁ | Set complement | An uppercase letter C. | \complement | U+2201 |
| ∂ | Partial Differential | An italicized, lowercase letter d with ascender curving to the left. | \partial | U+2202 |
| √ | Radical Sign | A checkmark-like symbol with a horizontal line extending to the right from the upper tip of the diagonal. | \sqrt or \2root | U+221A |
| ∛ | Cube root | A square root symbol with a small number 3 positioned in the upper left corner. | \cbrt or \3root | U+221B |
| ∜ | Fourth root | A square root symbol with a small number 4 positioned in the upper left corner. | \qdrt or \4root | U+221C |
| ∅ | Empty set | A circle with a diagonal line struck through it. The symbol resembles a zero struck through with a diagonal line sloping up from left to right. | \emptyset | U+2205 |
| % | Percentage | A diagonal line with a small zero above the line to the upper left and a small zero below the line to the lower right. | % | U+0025 |
| ° | Degrees | A small circle aligned above center. | \deg or \degree | U+00B0 |
| ㎭ | Radians | The lowercase letters rad, used to represent radians. | \rad | U+33AD |
| ℉ | Degrees Fahrenheit | An uppercase letter F with a small circular degree symbol positioned to the upper left of the letter. | \degf | U+2109 |
| ℃ | Degrees Celsius | An uppercase letter C with a small circular degree symbol positioned to the upper left of the letter. | \degc | U+2103 |
| ∆ | Increment | An isosceles triangle with the short base side at the bottom. | \inc or \laplace | U+2206 |
| ∇ | Nabla (Gradient) | An inverted isosceles triangle with the short base side at the top. | \nabla or \grad | U+2207 |
| ∃ | There exists | A horizontally flipped, uppercase letter E, pointing to the left. | \exists or \forsome | U+2203 |
| ∄ | There does not exist | A horizontally flipped, uppercase letter E pointing to the left, with a diagonal line struck through it and sloping from left up to right. | \nexists | U+2204 |
| ∈ | Element of (belongs to) | An uppercase letter E with a curved stem. The symbol resembles an uppercase letter C with a horizontal line positioned symmetrically. | \in, \element, or \belongs | U+2208 |
| ∋ | Contains as member | A horizontally flipped, uppercase letter E with a curved stem. The symbol resembles a horizontally flipped uppercase letter C with a horizontal line positioned symmetrically. | \ni, \contains, or \owns | U+220B |
| ← | Left Arrow | A straight, horizontal arrow pointing to the left. | \leftarrow or \gets | U+2190 |
| ↑ | Upward Arrow | A straight, vertical arrow pointing upwards. | \uparrow | U+2191 |
| → | Right Arrow | A straight, horizontal arrow pointing to the right. | \rightarrow | U+2192 |
| ↓ | Downward Arrow | A straight, vertical arrow pointing downwards. | \downarrow | U+2193 |
| ↔ | Left-right Arrow | A straight, horizontal line with arrowheads pointing both left and right. | \leftrightarrow | U+2194 |
| ∴ | Therefore | Three small dots forming an equilateral triangle, with apex pointing upwards. | \therefore | U+2234 |
| + | Plus | A simple cross formed by the intersection of a short, vertical line and a short, horizontal line. | + | U+002B |
| − | Minus | A single, short horizontal line, aligned centrally. | \- | U+2212 |
| ¯ | Repeating decimal | A short, horizontal line positioned above letters or digits. | \overbar, \overline, \repeat, \repeating, or \vinculum | U+00AF |
| ¬ | Not sign | A small L-shaped hook formed by a short, horizontal line with a very short vertical line leading downwards from the right end of the horizontal line. The symbol resembles an uppercase letter L, flipped horizontally and rotated counterclockwise through 90 degrees. | \neg or \not | U+00AC |
| α | Alpha | Lowercase Greek letter alpha. A cursive lowercase letter A with a small upper right ear and a short, curved tail. | \alpha | U+03B1 |
| β | Beta | Lowercase Greek letter beta. A vertical line flows into a curved number 3 shape. The symbol resembles an uppercase letter B with a short tail on the descender. | \beta | U+03B2 |
| γ | Gamma | Lowercase Greek letter, gamma. The symbol resembles a stylized lowercase letter Y. | \gamma | U+03B3 |
| δ | Delta | Lowercase Greek letter delta. The symbol resembles a rounded, lowercase letter D with a short, curved ascender that loops to the right. | \delta | U+03B4 |
| ϵ | Variant Epsilon | Lowercase Greek letter epsilon. The letter resembles a small, curved uppercase letter E or a horizontally flipped number 3. | \varepsilon | U+03F5 |
| ε | Epsilon | A variant of Greek letter epsilon. The symbol resembles a curved uppercase letter E or a horizontally flipped lowercase letter C with a horizontal line positioned symmetrically. | \epsilon | U+03B5 |
| θ | Theta | Lowercase Greek letter theta. A zero with a horizontal bar through the center. | \theta | U+03B8 |
| ϑ | Variant Theta | n elongated version of theta with a curved tail. The symbol resembles a lowercase letter G or a curved number 9. | \vartheta | U+03D1 |
| μ | Mu | Lowercase Greek letter mu. The symbol resembles a lowercase letter U with a straight tail extending down from the left side. | \mu | U+03BC |
| π | Pi | Lowercase Greek letter pi. The symbol features a small, table-like shape, resembling a lowercase letter N with a straight, horizontal upper arch. | \pi | U+03C0 |
| ρ | Rho | A lowercase Greek letter rho. The symbol resembles a rounded p with a short tail. | \rho | U+03C1 |
| σ | Sigma | A lowercase Greek letter sigma. The symbol resembles an oval with a short straight horizontal arm at the top protruding to the right. | \sigma | U+03C3 |
| τ | Tau | Lowercase Greek letter tau. The symbol resembles a lowercase letter T and features a straight, horizontal line and a vertical line with a right-facing, hooked lower tip. | \tau | U+03C4 |
| ϕ | Variant Phi | A variant of lowercase Greek letter phi. The symbol resembles a lowercase letter U with the right arm extending and curving inwards to form a straight line down through the center of the bowl. | \varphi | U+03D5 |
| ω | Omega | Lowercase Greek letter omega. The symbol resembles a curved lowercase letter W. | \omega | U+03C9 |
| ∗ | Asterisk Operator | A centered small, six-pointed star. The symbol resembles a single dot with 6 spokes. | \ast | U+2217 |
| ∙ | Bullet operator | A single, small dot positioned centrally. | \bullet | U+2219 |
| ⋮ | Vertical ellipsis | Three small dots stacked vertically. | \vdots | U+22EE |
| ⋯ | Midline Horizontal Ellipsis | Three small dots arranged horizontally and aligned centrally. | \cdots | U+22EF |
| ⋰ | Upward Right Diagonal Ellipsis | Three small dots arranged diagonally, sloping upwards from left to right. | \rddots | U+22F0 |
| ⋱ | Downward Right Diagonal Ellipsis | Three small dots arranged diagonally, sloping downwards from left to right. | \ddots | U+22F1 |
| ℵ | Aleph | A diagonal line slopes from left down to right. A curved vertical line leads down from the upper end of the diagonal and a curved vertical line leads up from the lower end of the diagonal. The symbol resembles a stylized uppercase letter N. | \aleph | U+2135 |
| ℶ | Beth (Second infinite cardinal) | A horizontal line with a curved, inverted L-shaped line curving up and to the left from the right end of the horizontal line. | \beth | U+2136 |
Number Theory
| Symbol | Symbol Name | Symbol Visual Description | AutoCorrect Command | Unicode |
|---|---|---|---|---|
| ∣ | Divides (is divisible by) | A single, vertical line. The symbol resembles the pipe character. | \mid or \divide | U+2223 |
| ∤ | Does not divide (is not divisible by) | A single, vertical line struck through with a short diagonal slash. | \notdivide | U+2224 |
Statistics and Probability
| Symbol | Symbol Name | Symbol Visual Description | AutoCorrect Command | Unicode |
|---|---|---|---|---|
| σ | Standard deviation | A lowercase Greek letter sigma. The symbol resembles an oval with a short straight horizontal arm at the top protruding to the right. | \sigma or \stddev | U+03C3 |
| μ | Population mean | Lowercase Greek letter mu. The symbol resembles a lowercase letter U with a straight tail extending down from the left side. | \mu or \mean | U+03BC |
| ρ | Correlation coefficient | A lowercase Greek letter rho. The symbol resembles a rounded p with a short tail. | \rho or \corr | U+03C1 |
| 𝔼 | Expected value | A blackboard-style, uppercase letter E with double vertical strokes. | \doubleE or \expect | U+1D53C |
| ℙ | Probability | A blackboard-style, uppercase letter P with double vertical strokes. | \doubleP or \prob | U+2119 |
Greek Letters
This table provides symbols relevant to Greek letters, accompanied by their descriptions, symbol visual description, Unicode, and respective AutoCorrect commands in Word.
| Symbol | Symbol Name | Symbol Visual Description | AutoCorrect Command | Unicode |
|---|---|---|---|---|
| α | Alpha (lowercase) | Lowercase Greek letter alpha. A cursive lowercase letter A with a small upper right ear and a short, curved tail. | \alpha | U+03B1 |
| Α | Alpha (uppercase) | Uppercase Greek letter A. The symbol is identical to an uppercase letter A. | \Alpha | U+0391 |
| β | Beta (lowercase) | Lowercase Greek letter beta. A vertical line flows into a curved number 3 shape. The symbol resembles an uppercase letter B with a short tail on the descender. | \beta | U+03B2 |
| Β | Beta (uppercase) | Uppercase Greek letter B. The symbol is identical to an uppercase letter B. | \Beta | U+0392 |
| γ | Gamma (lowercase) | Lowercase Greek letter, gamma. The symbol resembles a stylized lowercase letter Y. | \gamma | U+03B3 |
| Γ | Gamma (uppercase) | Uppercase Greek letter gamma. A long vertical line with a short horizontal line leading to the right from the upper end of the vertical line. The horizontal line is capped with a vertical serif tip. The symbol resembles a vertically flipped uppercase letter L. | \Gamma | U+0393 |
| δ | Delta (lowercase) | Lowercase Greek letter delta. The symbol resembles a rounded, lowercase letter D with a short, curved ascender that loops to the right. | \delta | U+03B4 |
| Δ | Delta (uppercase) | Uppercase Greek letter delta. The symbol is presented as an isosceles triangle with the short base side at the bottom. | \Delta | U+0394 |
| ϵ | Variant Epsilon | Lowercase Greek letter epsilon. The letter resembles a small, curved uppercase letter E or a horizontally flipped number 3. | \varepsilon | U+03F5 |
| ε | Epsilon (lowercase) | A variant of Greek letter epsilon. The symbol resembles a curved uppercase letter E or a horizontally flipped lowercase letter C with a horizontal line positioned symmetrically. | \epsilon | U+03B5 |
| Ε | Epsilon (uppercase) | Uppercase Greek letter epsilon. The symbol is identical to an uppercase letter E. | \Epsilon | U+0395 |
| ζ | Zeta (lowercase) | Lowercase Greek letter zeta. The symbol resembles a cursive lowercase letter Z with a short, descending tail. | \zeta | U+03B6 |
| Ζ | Zeta (uppercase) | Uppercase Greek letter zeta. The symbol is identical to an uppercase letter Z. | \Zeta | U+0396 |
| η | Eta (lowercase) | Lowercase Greek letter Eta. The symbol resembles a lowercase letter N with a slightly longer descending right tail. | \eta | U+03B7 |
| Η | Eta (uppercase) | Uppercase Greek letter eta. The symbol is identical to an uppercase letter H. | \Eta | U+0397 |
| θ | Theta (lowercase) | Lowercase Greek letter theta. A zero with a horizontal bar through the center. | \theta | U+03B8 |
| ϑ | Variant Theta (lowercase) | An elongated version of theta with a curved tail. The symbol resembles a lowercase letter G or a curved number 9. | \vartheta | U+03D1 |
| Θ | Theta (uppercase) | Uppercase Greek letter Theta. The symbol resembles an uppercase letter O with a short, horizontal line positioned in the center. | \Theta | U+0398 |
| ι | Iota (lowercase) | Lowercase Greek letter iota. The symbol resembles a lowercase letter I without a dot. | \iota | U+03B9 |
| Ι | Iota (uppercase) | Uppercase Greek letter iota. The symbol is identical to an uppercase letter I. | \Iota | U+0399 |
| κ | Kappa (lowercase) | Lowercase Greek letter kappa. The symbol resembles a small uppercase letter K. | \kappa | U+03BA |
| Κ | Kappa (uppercase) | Uppercase Greek letter kappa. The symbol is identical to the uppercase letter K. | \Kappa | U+039A |
| λ | Lambda (lowercase) | Lowercase Greek letter lambda. The symbol resembles an inverted uppercase Y. | \lambda | U+03BB |
| Λ | Lambda (uppercase) | Uppercase Greek letter lambda. The symbol resembles an inverted uppercase letter V or an uppercase letter A without the horizontal crossbar. | \Lambda | U+039B |
| μ | Mu (lowercase) | Lowercase Greek letter mu. The symbol resembles a lowercase letter U with a straight tail extending down from the left side. | \mu | U+03BC |
| Μ | Mu (uppercase) | Uppercase Greek letter mu. The symbol is identical to an uppercase letter M. | \Mu | U+039C |
| ν | Nu (lowercase) | Lowercase Greek letter nu. The symbol resembles a lowercase letter V but with slightly curved arms. | \nu | U+03BD |
| Ν | Nu (uppercase) | Uppercase Greek letter nu. The symbol is identical to an uppercase letter N. | \Nu | U+039D |
| ξ | Xi (lowercase) | Lowercase Greek letter xi. The symbol resembles a horizontally flipped number 3 with a short, descending tail. | \xi | U+03BE |
| Ξ | Xi (uppercase) | Uppercase Greek letter xi. The symbol is presented as three, stacked horizontal lines, with the middle line slightly shorter than the upper and lower lines. The symbol resembles an uppercase letter E without the vertical stem. | \Xi | U+039E |
| ο | Omicron (lowercase) | Lowercase Greek letter omicron. The symbol resembles a lowercase letter O. | \omicron | U+03BF |
| Ο | Omicron (uppercase) | Uppercase Greek letter omicron. The symbol is identical to an uppercase letter O. | \Omicron | U+039F |
| π | Pi (lowercase) | Lowercase Greek letter pi. The symbol features a small, table-like shape, resembling a lowercase letter N with a straight, horizontal upper arch. | \pi | U+03C0 |
| ϖ | Variant Pi (lowercase) | A variant of lowercase Greek letter pi. The symbol features a horizontal line stacked above a curved, double-arched shape resembling a lowercase letter W. | \varpi | U+03D6 |
| Π | Pi (uppercase) | Uppercase Greek letter pi. The symbol resembles an open rectangle with the lower base side missing. | \Pi | U+03A0 |
| ρ | Rho (lowercase) | A lowercase Greek letter rho. The symbol resembles a rounded p with a short tail. | \rho | U+03C1 |
| ϱ | Variant Rho (lowercase) | A variant of lowercase Greek letter rho. The symbol resembles a lowercase letter P with a descender curving to the right. | \varrho | U+03F1 |
| Ρ | Rho (uppercase) | Uppercase Greek letter rho. The symbol is identical to an uppercase letter P. | \Rho | U+03A1 |
| σ | Sigma (lowercase) | A lowercase Greek letter sigma. The symbol resembles an oval with a short straight horizontal arm at the top protruding to the right. | \sigma | U+03C3 |
| ς | Variant Sigma (lowercase) | A variant of the Greek lowercase letter sigma. The symbol resembles a lowercase letter C with a short, curved tail. | \varsigma | U+03C2 |
| Σ | Sigma (uppercase) | Uppercase Greek letter sigma. The symbol is formed from upper and lower horizontal lines connected by a V-shape pointing to the right. The symbol resembles a stylized uppercase letter E formed with straight, angular lines. | \Sigma | U+03A3 |
| τ | Tau (lowercase) | Lowercase Greek letter tau. The symbol resembles a lowercase letter T and features a straight, horizontal line and a vertical line with a right-facing, hooked lower tip. | \tau | U+03C4 |
| Τ | Tau (uppercase) | Uppercase Greek letter tau. The symbol is identical to an uppercase letter T. | \Tau | U+03A4 |
| υ | Upsilon (lowercase) | Lowercase Greek letter upsilon. The symbol resembles a rounded, lowercase letter U. | \upsilon | U+03C5 |
| Υ | Upsilon (uppercase) | Uppercase Greek letter upsilon. The symbol is identical to an uppercase letter Y. | \Upsilon | U+03A5 |
| ϕ | Variant Phi | A variant of lowercase Greek letter phi. The symbol resembles a lowercase letter U with the right arm extending and curving inwards to form a straight line down through the center of the bowl. | \varphi | U+03D5 |
| φ | Phi (lowercase) | Lowercase Greek letter phi. The symbol features a small circle with a vertical line running through the center. The symbol resembles a lowercase letter O struck through with a vertical line. | \phi | U+03C6 |
| Φ | Phi (uppercase) | Uppercase Greek letter phi. The symbol features a circle with a vertical line running through the center. | \Phi | U+03A6 |
| χ | Chi (lowercase) | Lowercase Greek letter chi. The symbol resembles an uppercase letter X presented in italics. | \chi | U+03C7 |
| Χ | Chi (uppercase) | Uppercase Greek letter chi. The symbol is identical to an uppercase letter X. | \Chi | U+03A7 |
| ψ | Psi (lowercase) | Lowercase Greek letter psi. The symbol resembles a trident and is formed from a lowercase letter U with a vertical line positioned symmetrically through the center of the bowl. | \psi | U+03C8 |
| Ψ | Psi (uppercase) | Uppercase Greek letter psi. The symbol resembles a trident and is formed from a uppercase letter U with a vertical line positioned symmetrically through the center of the bowl. | \Psi | U+03A8 |
| ω | Omega (lowercase) | Lowercase Greek letter omega. The symbol resembles a curved lowercase letter W. | \omega | U+03C9 |
| Ω | Omega (uppercase) | Uppercase Greek letter omega. The symbol resembles an open horseshoe pointing downwards or an inverted, uppercase letter U with short, horizontal lines positioned at each tip. | \Omega | U+03A9 |
Letter-Like Symbols
This table provides symbols relevant to letter like symbols, accompanied by their descriptions, symbol visual description, Unicode, and respective AutoCorrect commands in Word.
| Symbol | Symbol Name | Symbol Visual Description | AutoCorrect Command | Unicode |
|---|---|---|---|---|
| ∀ | For all | An inverted, uppercase letter A. | \forall or \foreach | U+2200 |
| ∁ | Complement | An uppercase letter C. | \complement | U+2201 |
| ℂ | Complex numbers | A double-struck, uppercase letter C. The symbol resembles an outlined uppercase letter C formed from double lines. | \doubleC | U+2102 |
| ∂ | Partial differential | An italicized, lowercase letter d with ascender curving to the left. | \partial | U+2202 |
| ð | Latin small letter Eth | An italicized, lowercase letter d with ascender curving to the left. The ascender is struck through with a diagonal line sloping up from left to right. | \eth | U+00F0 |
| ℇ | Euler Constant | A curved, uppercase letter E. The symbol resembles a horizontally flipped number 3. | \euler | U+2107 |
| Ϝ | Greek Capital Digamma | A small, curved uppercase letter F with the midarm featuring a downward curve at the tip. | \Digamma | U+03DC |
| Ⅎ | Turned Capital F | An uppercase letter F rotated 180 degrees. The symbol resembles an uppercase letter F which has been flipped horizontally and inverted. | \turnedF | U+2132 |
| ℊ | Script small G | A cursive script, lowercase letter G. | \scriptg | U+210A |
| ℋ | Script Capital H | A cursive script, uppercase letter H. | \scriptH | U+210B |
| ℌ | Hilbert Space | A Gothic script, lowercase letter H. | \frakturH | U+210D |
| ℎ | Planck Constant | A cursive script, lowercase letter H. | \planck | U+210E |
| ℏ | Planck Constant over Two Pi | A cursive script, lowercase letter H with the ascender struck through with a diagonal line sloping up from left to right. | \hbar | U+210F |
| ℩ | Turned Greek letter small Iota | A lowercase letter I with the dot removed, rotated through 180 degrees. | \turnediota | U+2129 |
| ı | Latin small letter dotless I | A lowercase letter I with the dot removed. | \imath | U+0131 |
| ℑ | Imaginary Part | A cursive script, uppercase letter J. | \frakturI or \Im | U+2111 |
| j | Latin small letter J | A lowercase letter J. | j | U+006A |
| ϰ | Greek Kappa Symbol | A small, cursive script uppercase letter K. The symbol resembles a small uppercase letter N which has been flipped horizontally. | \varkappa | U+03F0 |
| ℒ | Laplace Transform | A cursive script, uppercase letter L with a hooked ascender. | \scriptL | U+2112 |
| ℓ | Script small L | A cursive script, lowercase letter L. | \scriptl | U+2113 |
| ℕ | Natural numbers | A double-struck, uppercase letter N. The symbol resembles an uppercase letter N with its outlined diagonal stroke formed from double lines. | \mathbb{N} | U+2115 |
| ℘ | Power set | A stylized, cursive, lowercase letter P. The symbol features an S-shaped, vertical stem and a rounded bowl. | \wp or \powerset | U+2118 |
| ℚ | Rational numbers | A double-struck, uppercase letter Q. The symbol resembles an outlined uppercase letter Q formed from double lines. | \mathbb{Q} | U+211A |
| ℛ | Script Capital R | A cursive script, uppercase letter R. | \mathscr{R} | U+211B |
| ℜ | Real part | A stylized, uppercase letter R featuring a Gothic script design. | \frakturR or \Re | U+211C |
| ℝ | Real numbers | A double-struck, uppercase letter R. The symbol resembles an outlined uppercase letter R formed from double lines. | \mathbb{R} | U+211D |
| ℤ | Integers | A double-struck, uppercase letter Z. The symbol resembles an uppercase letter Z with its outlined diagonal stroke formed from double lines. | \mathbb{Z} | U+2124 |
| ℧ | Inverted ohm (mho) | An inverted ohm sign. The symbol is identical to an inverted uppercase omega sign. The symbol resembles an open horseshoe pointing upwards. | \mho | U+2127 |
| Å | Angstrom | An uppercase letter A with a small circle positioned directly above it. | \AA | U+212B |
| ℬ | Script Capital B | A cursive script, uppercase letter B featuring a curved swash leading left from the upper end of the stem. | \mathscr{B} | U+212C |
| ℮ | Estimated symbol | A rounded, lowercase letter E. The symbol resembles a standard lowercase letter E. | \euro (not exact) | U+212E |
| ℰ | Script Capital E | A cursive script, uppercase letter E. The symbol resembles an italic, horizontally flipped number 3. | \mathscr{E} | U+2130 |
| ∃ | There exists | A horizontally flipped, uppercase letter E, pointing to the left. | \exists or\forsome | U+2203 |
| ∄ | There does not exist | A horizontally flipped, uppercase letter E struck through with a diagonal line sloping up from left up to right. | \nexists | U+2204 |
| ℱ | For all | A cursive script, uppercase letter F. | \mathscr{F} | U+2131 |
| ℳ | Script Capital M | A cursive script, uppercase letter M. | \mathscr{M} | U+2133 |
| ℴ | Script small O | A cursive script, lowercase letter O. | \mathscr{o} | U+2134 |
| ℵ | Aleph | A diagonal line slopes from left down to right. A curved vertical line leads down from the upper end of the diagonal and a curved vertical line leads up from the lower end of the diagonal. The symbol resembles a stylized uppercase letter N. | \aleph | U+2135 |
| ℶ | Bet (second transfinite cardinal) | A horizontal line with a curved, inverted L-shaped line curving up and to the left from the right end of the horizontal line. | \beth | U+2136 |
| ℷ | Gimel (third transfinite cardinal) | A horizontally flipped, uppercase letter C with a short diagonal line extending downwards to the right from the center of the curve. The symbol resembles a stooped figure walking from left to right. | \gimel | U+2137 |
| ℸ | Dalet (fourth transfinite cardinal) | A curved uppercase letter L, rotated counterclockwise through 180 degrees. The symbol resembles a stylized number 7. | \daleth | U+2138 |
Common Binary Operators
This table provides symbols relevant to common binary operators, accompanied by their descriptions, symbol visual description, Unicode, and respective AutoCorrect commands in Word.
| Symbol | Symbol Name | Symbol Visual Description | AutoCorrect Command | Unicode |
|---|---|---|---|---|
| + | Plus | A simple cross formed by the intersection of a short, vertical line and a short, horizontal line. | + | U+002B |
| − | Minus | A single, short horizontal line, aligned centrally. | \- | U+2212 |
| ÷ | Division Sign | A horizontal line with one small dot positioned centrally above the line and one small dot positioned centrally below the line. | \div | U+00F7 |
| × | Multiplication Sign | An X-shaped cross, resembling a lowercase letter X. | \times | U+00D7 |
| ± | Plus Minus | A plus sign stacked above a minus sign. | \pm | U+00B1 |
| ∓ | Minus Plus | A minus sign stacked above a plus sign. | \mp | U+2213 |
| ∝ | Proportional To | A horizontal figure-eight shape with a gap on the right side of the righthand loop. The symbol resembles a lapel ribbon rotated counterclockwise through 90 degrees. | \propto | U+221D |
| ∕ | Division Slash | A diagonal line sloping up from left to right. | \ldiv | U+2215 |
| ∗ | Asterisk Operator | A centered, small, six-pointed star. The symbol resembles a single dot with 6 spokes. | \ast | U+2217 |
| ∘ | Ring Operator | A centered, small circle. | \circ or \comp | U+2218 |
| ∙ | Bullet Operator | A single, small dot aligned centrally. | \bullet | U+2219 |
| ⋅ | Dot Operator | A single, medium sized dot aligned centrally. | \cdot | U+22C5 |
| ∩ | Intersection | A downward-facing, uppercase letter U-shape with a wide bowl. | \cap or \intersection | U+2229 |
| ∪ | Union | An upward-facing, uppercase letter U-shape with a wide bowl. | \cup or \union | U+222A |
| ⊎ | Multiset Union | An upward-facing, uppercase letter U-shape with a wide bowl and a small plus sign positioned in the lower center of the bowl. | \uplus | U+228E |
| ⊓ | Square Cap | A downward-facing, flat-bottomed, uppercase letter U shape. The symbol resembles a small square with the lower side removed. | \sqcap | U+2293 |
| ⊔ | Square Cup | A upward-facing, flat-bottomed uppercase letter U shape. The symbol resembles a small square with the upper side removed. | \sqcup | U+2294 |
Common Relational Operators
This table provides symbols relevant to common relational operators, accompanied by their descriptions, symbol visual description, Unicode, and respective AutoCorrect commands in Word.
| Symbol | Symbol Name | Symbol Visual Description | AutoCorrect Command | Unicode |
|---|---|---|---|---|
| = | Equals | Two short, parallel horizontal lines of equal length. | = | U+003D |
| ≠ | Not equal | Two short, parallel horizontal lines of equal length struck through with a diagonal line sloping up from left to right. | \neq or \ne | U+2260 |
| < | Less than | A sharp-angled, left-facing arrowhead, resembling a V-shape pointing to the left. | < | U+003C |
| > | Greater than | A sharp-angled, right-facing arrowhead, resembling a V-shape pointing to the right. | > | U+003E |
| ≤ | Less than or equal | A sharp-angled, left-facing arrowhead, resembling a V-shape pointing to the left, is positioned above a short, horizontal line. | \leq | U+2264 |
| ≥ | Greater than or equal | A sharp-angled, right-facing arrowhead, resembling a V-shape pointing to the right, is positioned above a short, horizontal line. | \geq or \ge | U+2265 |
| ≮ | Not less than | A sharp-angled, left-facing arrowhead, resembling a V-shape pointing to the left, struck through with a diagonal line sloping up from left to right. | \nlt or \notlt | U+226E |
| ≰ | Not less than or equal | A sharp-angled, left-facing arrowhead, resembling a V-shape pointing to the left, is positioned above a short, horizontal line, and struck through with a diagonal line sloping upwards from left to right. | \nleq | U+2270 |
| ≯ | Not greater than | A sharp-angled, right-facing arrowhead, resembling a V-shape pointing to the right, struck through with a diagonal line sloping up from left to right. | \ngt or\notgt | U+226F |
| ≱ | Not greater than or equal | A sharp-angled, right-facing arrowhead, resembling a V-shape pointing to the right, is positioned above a short, horizontal line, and struck through with a diagonal line sloping upwards from left to right. | \ngeq | U+2271 |
| ≡ | Identical to | A stack of three short, parallel horizontal lines of equal length. | \equiv | U+2261 |
| ∼ | Tilde (similar to) | A short, horizontal, wavy line. | \sim | U+223C |
| ≃ | Asymptotically equal to | A short, horizontal, wavy line positioned directly above a short, horizontal straight line. | \simeq | U+2243 |
| ≈ | Almost equal to | Two, short, horizontal wavy lines, stacked one above the other. | \approx | U+2248 |
| ≅ | Congruent to | A short, wavy line stacked above two short, parallel horizontal lines of equal length. The symbol is identical to a tilde stacked above an equals sign. | \cong | U+2245 |
| ≢ | Not identical to | A stack of 3 short, parallel horizontal lines of equal length struck through with a diagonal line sloping up from left to right. | \nequiv | U+2262 |
| ≄ | Not asymptotically equal | A short, horizontal, wavy line positioned directly above a short, horizontal straight line. Both lines are struck through with a diagonal line sloping up from left to right. | \nsimeq | U+2244 |
| ≉ | Not almost equal to | Two, short, horizontal wavy lines, stacked one above the other and struck through with a diagonal line sloping up from left to right. | \approx or \notapprox | U+2249 |
| ≇ | Not congruent to | A short, horizontal, wavy line stacked directly above 2 short, parallel, horizontal straight lines, and struck through with a diagonal line sloping up from left to right. The symbol resembles a tilde stacked above an equals sign and struck through. | \cong, \ncong, or \notcong | U+2247 |
| ∝ | Proportional to | A horizontal figure-eight shape with a gap on the right side of the righthand loop. The symbol resembles a lapel ribbon rotated counterclockwise through 90 degrees. | \propto | U+221D |
| ≪ | Much less than | Two stacked, left-facing arrowheads. The symbol resembles two V-shapes or chevrons positioned side by side and pointing to the left. | \ll or \muchless | U+226A |
| ≫ | Much greater than | Two stacked, right-facing arrowheads. The symbol resembles two V-shapes or chevrons positioned side by side and pointing to the right. | \gg or \muchgreater | U+226B |
| ∉ | Not an element of | An uppercase letter E with a curved stem struck through with a diagonal line sloping upwards from left to right. The symbol resembles an uppercase letter C with a horizontal line positioned symmetrically and struck through with a diagonal line sloping up from left to right. | \notin | U+2209 |
| ⊂ | Subset of | A right-facing, uppercase letter U. The symbol resembles an uppercase letter U rotated clockwise 90 degrees. | \subset | U+2282 |
| ⊃ | Superset of | A left-facing, uppercase letter U. The symbol resembles an uppercase letter U rotated counterclockwise 90 degrees. | \supset | U+2283 |
| ⊆ | Subset of or equal to | A right-facing, uppercase letter U positioned above a short, horizontal line. The symbol resembles an uppercase letter U rotated clockwise 90 degrees and positioned above a short, horizontal line. | \subseteq | U+2286 |
| ⊇ | Superset of or equal to | A left-facing, uppercase letter U positioned above a short, horizontal line. The symbol resembles an uppercase letter U rotated counterclockwise degrees and positioned above a short, horizontal line. | \supseteq | U+2287 |
| ≺ | Precedes | A curved less than symbol. The symbol resembles a curved, left-pointing V-shape. | \prec | U+227A |
| ≻ | Succeeds | A curved more than symbol. The symbol resembles a curved, right-pointing V-shape. | \succ | U+227B |
| ≼ | Precedes or equal to | A curved, left-facing V-shape positioned above a shallow concave down, curved line. The symbol resembles a curved less than symbol positioned above a curved, concave down arc, which is aligned parallel with the lower arm of the V shape. | \preceq | U+227C |
| ≽ | Succeeds or equal to | A curved, left-facing V-shape positioned above a shallow concave down, curved line. The symbol resembles a curved less than symbol positioned above a curved, concave down arc, which is aligned parallel with the lower arm of the V shape. | \succeq | U+227D |
| ⊏ | Square subset | A horizontal rectangle with a missing right side. The symbol resembles a square shaped uppercase letter C. | \sqsubset | U+228F |
| ⊐ | Square superset | A horizontal rectangle with a missing left side. The symbol resembles a horizontally flipped, square shaped uppercase letter C. | \sqsupset | U+2290 |
| ⊑ | Square subset or equal | A horizontal rectangle with a missing right side, positioned directly above a single, short, horizontal line. | \sqsubseteq | U+2291 |
| ⊒ | Square superset or equal | A horizontal rectangle with a missing left side, positioned directly above a single, short, horizontal line. | \sqsupseteq | U+2292 |
| ∥ | Parallel to | Two parallel, vertical lines positioned closely together. The symbol resembles an elongated equals sign rotated 90 degrees. | \parallel | U+2225 |
| ⊥ | Perpendicular to | The symbol is formed from a horizontal line intersecting at the center with a vertical line which leads upwards to form a perpendicular, right angle. The symbol resembles an inverted uppercase letter T. | \perp | U+22A5 |
| ⊢ | Proves | The symbol is formed from a short, vertical line intersecting with a short, horizontal line which leads to the right from the center of the vertical line. The symbol resembles an uppercase letter T rotated counterclockwise through 90 degrees. | \vdash or \proves | U+22A2 |
| ⊣ | Does Not Yield | The symbol is formed from a short, vertical line intersecting with a short, horizontal line which leads to the left from the center of the vertical line. The symbol resembles an uppercase letter T rotated clockwise through 90 degrees. | \dashv | U+22A3 |
| ⊤ | Tautology (Always True) | An upright T-shape. The symbol resembles a vertical line with a short bar at the top. | \top or \tautology | U+22A4 |
| ⊥ | Contradiction (Always False) | An inverted T-shape. The symbol resembles a vertical line with a short bar at the bottom. | \bot, \false, or \contradiction | U+22A5 |
| ⋈ | Natural join | The symbol is formed from a small, right facing, equilateral triangle intersecting with a small, left facing, equilateral triangle so that their apexes meet. The symbol resembles a bowtie shape. | \join or \bowtie | U+22C8 |
| ≍ | Approximately equal or image of | A shallow, concave upwards arc positioned directly above a concave downwards arc. The symbol resembles a curved equals sign constructed from a right parenthesis rotated 90 degrees clockwise positioned above a left parenthesis rotated 90 degrees clockwise. | \asymp | U+224D |
Basic N-ary Operators
This table provides symbols relevant to basic n-ary operators, accompanied by their descriptions, symbol visual description, Unicode, and respective AutoCorrect commands in Word.
| Symbol | Symbol Name | Symbol Visual Description | AutoCorrect Command | Unicode |
|---|---|---|---|---|
| ∑ | Summation | The symbol is formed from upper and lower horizontal lines connected by a V-shape pointing to the right. The symbol resembles a stylized uppercase letter E formed with straight, angular lines. | \sum | U+2211 |
| ∫ | Integral | An elongated, italic S-shape. The symbol resembles a vertical line with a right-facing hook at the upper end and a left-facing hook at the lower end. | \int | U+222B |
| ∬ | Double Integral | A double, elongated, italic S-shape. The symbol resembles two S-shaped integral symbols presented side by side. | \iint or \doubleint | U+222C |
| ∭ | Triple Integral | A triple, elongated, italic S-shape. The symbol resembles three integral symbols presented side by side. | \iiint or \tripleint | U+222D |
| ″ | Double prime | Two slightly slanted vertical strokes near the top. | \pprime, \dprime or \doubleprime | U+2033 |
| ‴ | Triple prime | Three slightly slanted vertical strokes near the top. | \ppprime, \tprime, or \tripleprime | U+2034 |
| ⁗ | Quadruple prime | Four slightly slanted vertical strokes near the top. | \pppprime, \qprime, or \quadprime | U+2057 |
| ∮ | Contour Integral | An elongated, italic S-shape overlaid by a small empty circle positioned centrally. The symbol is identical to a single integral symbol overlaid by a small circle. | \oint | U+222E |
| ∯ | Surface Integral | A double, elongated, italic S-shape overlaid with a short ellipse positioned centrally. The symbol resembles 2 integral symbols positioned side by side and overlaid with a horizontal oval. | \oiint | U+222F |
| ∰ | Volume Integral | A triple, elongated, italic S-shape overlaid with a long ellipse positioned centrally. The symbol resembles 3 integral symbols positioned side by side and overlaid with a horizontal oval. | \oiiint | U+2230 |
| ∱ | Clockwise Integral | An elongated, italic S-shape overlaid by a small , semi-circular arrow leading in a clockwise direction. The symbol resembles a single integral symbol struck through with a arched, clockwise arrow. | \cwint | U+2231 |
| ∲ | Clockwise Contour Integral | An elongated, italic S-shape overlaid by a small , circular arrow leading in a clockwise direction. The symbol resembles a single integral symbol overlaid by a clockwise, circular arrow. | \coint | U+2232 |
| ∳ | Anticlockwise Contour Integral | An elongated, italic S-shape overlaid by a small , circular arrow leading in a counterclockwise direction. The symbol resembles a single integral symbol overlaid by a counterclockwise, circular arrow. | \aoint | U+2233 |
| ‴ | Triple prime | Three slightly slanted vertical strokes near the top. | \tprime or \tripleprime | U+2034 |
| ⁗ | Quadruple prime | Four slightly slanted vertical strokes near the top. | \qprime or \quadprime | U+2057 |
| ∏ | Product | A bold, vertical, open rectangle with the lower base side missing. The symbol resembles a straight-sided, lowercase letter N. | \prod | U+220F |
| ∐ | Coproduct | A bold, vertical, open rectangle with the upper side missing. The symbol resembles a straight-sided, uppercase letter U. | \amalg | U+2210 |
| ⋂ | N-ary Intersection | A downward-facing, uppercase letter U-shape with a wide bowl. | \bigcap or \Intersection | U+22C2 |
| ⋃ | N-ary Union | An upward-facing, uppercase letter U-shape with a wide bowl. | \bigcup or \Union | U+22C3 |
| ⋀ | N-ary Logical And | A bold, upwards pointing arrowhead. The symbol resembles an inverted uppercase letter V. | \bigwedge | U+22C0 |
| ⋁ | N-ary Logical Or | A bold, downwards pointing arrowhead. The symbol resembles an uppercase letter V. | \bigvee | U+22C1 |
| ⨀ | N-ary Circled Dot Operator | A bold circle aligned centrally with a small dot positioned at the center. | \bigodot | U+2A00 |
| ⨂ | N-ary Circled Times Operator | A bold circle aligned centrally and enclosing an X shape. | \bigotimes | U+2A02 |
| ⨄ | N-ary Union Operator with Plus | An upward-facing, uppercase letter U-shape with a wide bowl and a small plus sign positioned in the lower center of the bowl. | \biguplus | U+2A04 |
| ⨃ | N-ary Intersection Operator with Dot | An upward-facing, uppercase letter U-shape with a wide bowl and a small dot positioned in the lower center of the bowl. | \bigcapdot | U+2A03 |
Logic/Boolean Operations
| Symbol | Symbol Name | Symbol Visual Description | AutoCorrect Command | Unicode |
|---|---|---|---|---|
| ∧ | Conjunction (AND), logical AND | An upwards pointing arrowhead. The symbol resembles an inverted uppercase letter V. | \wedge, \and, or \land | U+2227 |
| ∨ | Disjunction (OR), logical OR | A downwards pointing arrowhead. The symbol resembles an uppercase letter V. | \vee, \or, or \lor | U+2228 |
| ⊼ | Not AND (NAND) | An inverted V-shape with a small horizontal bar above it. | \nand | U+22BC |
| ⊽ | Not OR (NOR) | An upright V-shape with a small horizontal bar above it. | \nor | U+22BD |
| ⊕ | Exclusive OR (XOR) | A circle with a plus sign inside it. | \oplus or \xor | U+2295 |
| ⊙ | Exclusive NOR (XNOR) | A circle containing a small centered dot. | \odot or \xnor | U+2299 |
Advanced Binary Operators
This table provides symbols relevant to advanced binary operators, accompanied by their descriptions, symbol visual description, Unicode, and respective AutoCorrect commands in Word.
| Symbol | Symbol Name | Symbol Visual Description | AutoCorrect Command | Unicode |
|---|---|---|---|---|
| ∔ | Dot Plus | A plus sign with a small dot positioned directly above it. | \dotplus | U+2214 |
| ∸ | Dot Minus | A minus sign with a small dot positioned directly above it. | \dotminus | U+2238 |
| ∖ | Set Minus (Backslash) | A diagonal line sloping down from left to right. | \setminus | U+2216 |
| ⋒ | Double Intersection | A downward-facing uppercase letter U-shape with a wide bowl. A smaller, downward-facing lowercase letter U-shape is positioned inside the larger U shape, creating an double-struck, inverted uppercase U shape. | \Cap | U+22D2 |
| ⋓ | Double Union | A upward-facing, uppercase letter U-shape with a wide bowl. A smaller, upward-facing lowercase letter U-shape is positioned inside the larger U shape, creating an double-struck, uppercase U shape. | \Cup | U+22D3 |
| ⊟ | Squared Minus | A square with a horizontal line positioned across the middle. The symbol resembles a square divided into 2 equal rectangles by a horizontal line. | \boxminus | U+229F |
| ⊠ | Squared Times | A square containing an X shape. The symbol resembles a square divided into 4 equal triangular quadrants by 2 diagonal lines connecting its opposing corners. | \boxtimes | U+22A0 |
| ⊡ | Squared Dot Operator | A square containing a small dot centered in the middle. | \boxdot | U+22A1 |
| ⊞ | Squared Plus | A square containing a plus sign. The symbol resembles a square divided into 4 quadrants by a centered vertical line and a centered horizontal line. | \boxplus | U+229E |
| ⋇ | Division Times | A multiplication sign overlaid by a division sign. The symmetrical symbol features an X shape overlaid by a centrally aligned, short, horizontal line with a small dot positioned between the upper arms of the X and a second small dot positioned between the lower arms of the X. | \divideontimes | U+22C7 |
| ⋉ | Left Normal Factor Semidirect Product | The symbol is formed from a small, right facing, equilateral triangle intersecting with a small, left facing, equilateral triangle so that their apexes meet. The base line of the left-facing triangle is missing. The symbol resembles a bowtie shape with the vertical base line of the left-facing triangle removed. | \ltimes | U+22C9 |
| ⋊ | Right Normal Factor Semidirect Product | The symbol is formed from a small, right facing, equilateral triangle intersecting with a small, left facing, equilateral triangle so that their apexes meet. The base line of the right-facing triangle is missing. The symbol resembles a bowtie shape with the vertical base line of the right-facing triangle removed. | \rtimes | U+22CA |
| ⋋ | Left Semidirect Product | A diagonal line sloping down from left to right and intersecting at the center with a short, perpendicular, diagonal line sloping down from right to left from the center point of the larger diagonal. The symbol resembles an uppercase letter T with a long horizontal bar, rotated 45 degrees clockwise. | \leftthreetimes | U+22CB |
| ⋌ | Right Semidirect Product | A diagonal line sloping up from left to right and intersecting at the center with a short, perpendicular, diagonal line sloping down from left to right from the center point of the larger diagonal. The symbol resembles an uppercase letter T with a long horizontal bar, rotated 45 degrees counterclockwise. | \rightthreetimes | U+22CC |
| ⋏ | Curly Logical And | A curved, inverted, uppercase letter V. The symbol resembles a curved, upward pointing V-shape. | \curlywedge | U+22CF |
| ⋎ | Curly Logical OR | A curved, uppercase letter V. The symbol resembles a curved, downward pointing V-shape. | \curlyvee | U+22CE |
| ⊝ | Circled Dash | A circle containing a centered, horizontal line which does not touch the circle. The symbol resembles a circle enclosing a centered minus sign. | \odash | U+229D |
| ⊺ | Intercalate | A T-shape with a long vertical and a short horizontal bar. The symbol resembles a narrow, uppercase letter T. | \intercal | U+22BA |
| ⊕ | Circled Plus | A circle containing a plus sign. The symbol resembles a circle divided into 4 equal quadrants by a centered vertical line and a centered horizontal line. | \oplus or \xor | U+2295 |
| ⊖ | Circled Minus | A circle containing a minus sign. The symbol resembles a circle divided into 2 equal halves by a horizontal line. | \ominus | U+2296 |
| ⊗ | Circled Times | A circle containing a multiplication sign. The symbol resembles a circle divided into 4 equal triangular slices by 2 intersecting diagonal lines. | \otimes | U+2297 |
| ⊘ | Circled Division Slash | A circle containing a division slash. The symbol resembles a circle divided into 2 equal halves by a diagonal line sloping up from left to right. | \oslash | U+2298 |
| ⊛ | Circled Asterisk Operator | A circle containing a centered asterisk. The symbol resembles a circle containing a small star shape. | \oast | U+229B |
| ⊚ | Circled Ring Operator | A circle containing a small, centered empty circle. The symbol resembles a roundel. | \ocirc | U+229A |
| † | Dagger | A long, vertical line bisected close to the top by a short, horizontal line. The symbol resembles a downward facing dagger or a narrow cross. | \dagger | U+2020 |
| ‡ | Double Dagger | A long, vertical line bisected close to the top and bottom by 2 short, horizontal lines. The symmetrical symbol resembles a cross with 2 horizontal bars. | \ddag | U+2021 |
| ⋆ | Star Operator | A centrally positioned, 5-pointed star. | \star | U+22C6 |
| ⋄ | Diamond Operator | A centrally positioned, small diamond shape. | \diamond | U+22C4 |
| ≀ | Wreath Product | A short, vertical wavy line. The symbol resembles a tilde rotated clockwise through 90 degrees. | \wr | U+2240 |
| ⋀ | N-ary Logical AND | A bold, upwards pointing arrowhead. The symbol resembles an inverted uppercase letter V. | \bigwedge | U+22C0 |
| ⋁ | N-ary Logical OR | A bold, downwards pointing arrowhead. The symbol resembles an uppercase letter V. | \bigvee | U+22C1 |
| ⨀ | N-ary Circled Dot Operator | A bold circle aligned centrally with a small, bold dot positioned at the center. | \bigodot | U+2A00 |
| ⨂ | N-ary Circled Times Operator | A bold circle aligned centrally and enclosing an X shape. | \bigotimes | U+2A02 |
| ⨁ | N-ary Circled Plus Operator | A bold circle aligned centrally and enclosing a plus sign. | \bigoplus | U+2A01 |
| ⨅ | N-Ary Square Intersection Operator | A bold, vertical, open rectangle with the lower base side missing. The symbol resembles a straight-sided, lowercase letter N. | \bigsqcap | U+2A05 |
| ⨆ | N-Ary Square Union Operator | A bold, vertical, open rectangle with the upper side missing. The symbol resembles a straight-sided, uppercase letter U. | \bigsqcup | U+2A06 |
| ⨄ | N-ary Union operator with plus | A bold, upward-facing uppercase letter U-shape with a wide bowl and a small plus sign positioned in the lower center of the bowl. | \biguplus | U+2A04 |
| ⨃ | N-ary Union operator with dot | A bold, upward-facing uppercase letter U-shape with a wide bowl and a small dot positioned in the lower center of the bowl. | \bigudot | U+2A03 |
Advanced Relational Operators
This table provides symbols relevant to advanced relational operators, accompanied by their descriptions, symbol visual description, Unicode, and respective AutoCorrect commands in Word.
| Symbol | Symbol Name | Symbol Visual Description | AutoCorrect Command | Unicode |
|---|---|---|---|---|
| ∴ | Therefore | Three small dots forming an equilateral triangle, with apex pointing upwards. | \therefore | U+2234 |
| ∵ | Because | Three small dots forming an equilateral triangle, with apex pointing downwards. | \because | U+2235 |
| ⋘ | Very much less than | Three left-facing arrowheads positioned side by side. The symbol resembles three V-shapes or chevrons positioned side by side and pointing to the left. | \lll | U+22D8 |
| ⋙ | Very much greater than | Three right-facing arrowheads positioned side by side. The symbol resembles three V-shapes or chevrons positioned side by side and pointing to the right. | \ggg | U+22D9 |
| ≦ | Less than over equal to | A sharp-angled, left-facing arrowhead, resembling a V-shape pointing to the left, is stacked above 2 short, parallel, horizontal lines. The symbol is identical to a less than sign stacked above an equals sign. | \leqq | U+2266 |
| ≧ | Greater than over equal to | A sharp-angled, right-facing arrowhead, resembling a V-shape pointing to the right, is stacked above 2 short, parallel, horizontal lines. The symbol is identical to a more than sign stacked above an equals sign. | \geqq | U+2267 |
| ≲ | Less than and similar to | A sharp-angled, left-facing arrowhead, resembling a V-shape pointing to the left, is positioned above a short, horizontal wavy line. The symbol is identical to a less than sign stacked above a tilde. | \lesssim | U+2272 |
| ≳ | Greater than and similar to | A sharp-angled, right-facing arrowhead, resembling a V-shape pointing to the right, is positioned above a short, horizontal wavy line. The symbol is identical to a more than sign stacked above a tilde. | \gtrsim | U+2273 |
| ⋖ | Less than with dot | A sharp-angled, left-facing arrowhead, resembling a V-shape pointing to the right, with a small dot positioned in the center of the arms of the V shape. | \lessdot | U+22D6 |
| ⋗ | Greater than with dot | A sharp-angled, right-facing arrowhead, resembling a V-shape pointing to the left, with a small dot positioned in the center of the arms of the V shape. | \gtrdot | U+22D7 |
| ≶ | Less than or greater than | A sharp-angled, left-facing arrowhead, resembling a V-shape pointing to the left, is positioned above a sharp-angled, right-facing arrowhead, resembling a V-shape pointing to the right. The symbol is identical to a less than sign stacked above a more than sign. | \lessgtr | U+2276 |
| ⋚ | Less than but not equivalent to | A sharp-angled, left-facing arrowhead, resembling a V-shape pointing to the left, is positioned above a short horizontal line and a sharp-angled, right-facing arrowhead, resembling a V-shape pointing to the right. The symbol is identical to a less than sign stacked above a minus sign and a more than sign. | \lesseqgtr | U+22DA |
| ≷ | Greater than or less than | A sharp-angled, right-facing arrowhead, resembling a V-shape pointing to the right, is positioned above a sharp-angled, left-facing arrowhead, resembling a V-shape pointing to the left. The symbol is identical to a more than sign stacked above a less than sign. | \gtrless | U+2277 |
| ⋛ | Greater than but not equivalent to | A sharp-angled, right-facing arrowhead, resembling a V-shape pointing to the right, is positioned above a short horizontal line and a sharp-angled, left-facing arrowhead, resembling a V-shape pointing to the left. The symbol is identical to a more than sign stacked above a minus sign and a less than sign. | \gtreqless | U+22DB |
| ≑ | Geometrically equal to | A pair of short, parallel lines with a centered small dot positioned above and a centered small dot positioned below. The symbol resembles an equals sign with a small dot above and a small dot below. | \Doteq | U+2251 |
| ≒ | Approximately equal to or image of | A pair of short, parallel lines with a left aligned small dot positioned above and a right aligned small dot positioned below. The symbol resembles an equals sign with a small dot above and to the left and a small dot below and to the right. | \fallingdotseq | U+2252 |
| ≓ | Image of or approximately equal to | A pair of short, parallel lines with a right aligned small dot positioned above and a left aligned small dot positioned below. The symbol resembles an equals sign with a small dot above and to the right and a small dot below and to the left. | \risingdotseq | U+2253 |
| ∽ | Reversed tilde | A short, horizontal, wavy line. The first wave is concave up and the second wave is concave down. The symbol is a reversed tilde. | \backsim | U+223D |
| ≊ | Almost equal or equivalent | Two vertically stacked, short, horizontal, wavy lines positioned above a short horizontal line. The symbol is identical to 2 tildes stacked above a minus sign. | \approxeq | U+224A |
| ⋍ | Reversed tilde equals | A short, horizontal, wavy line positioned above a short, horizontal line. The symbol is identical to a reversed tilde positioned above a minus sign. | \backsimeq | U+22CD |
| ≼ | Precedes or equal to | A curved, left-facing V-shape positioned above a shallow concave down, curved line. The symbol resembles a curved less than symbol positioned above a curved, concave down arc, which is aligned parallel with the lower arm of the V shape. | \preceq | U+227C |
| ≽ | Succeeds or equal to | A curved, right-facing V-shape positioned above a shallow concave down, curved line. The symbol resembles a curved more than symbol positioned above a curved, concave down arc, which is aligned parallel with the lower arm of the V shape. | \succeq | U+227D |
| ⋞ | Equal To or Precedes | A curved, left-facing V-shape positioned below a shallow concave up, curved line. The symbol resembles a curved less than symbol positioned below a curved, concave up arc, which is aligned parallel with the upper arm of the V shape. | \eqless | U+22DE |
| ⋟ | Equal To or Succeeds | A curved, right-facing V-shape positioned below a shallow concave up, curved line. The symbol resembles a curved more than symbol positioned below a curved, concave up arc, which is aligned parallel with the upper arm of the V shape. | \eqgtr | U+22DF |
| ≾ | Precedes but not equivalent | A curved, left-facing V-shape positioned above a short, horizontal, wavy line. The symbol resembles a curved less than symbol stacked above a tilde. | \precsim | U+227E |
| ≿ | Succeeds or equivalent to | A curved, right-facing V-shape positioned above a short, horizontal, wavy line. The symbol resembles a curved more than symbol stacked above a tilde. | \succsim | U+227F |
| ⋜ | Equal to or less than | A sharp-angled, left-facing arrowhead, resembling a V-shape pointing to the left, is positioned below a short, horizontal line. The symbol is identical to a less than sign positioned below a minus sign. | \eqless | U+22DC |
| ⋝ | Equal to or greater than | A sharp-angled, right-facing arrowhead, resembling a V-shape pointing to the right, is positioned below a short, horizontal line. The symbol is identical to a more than sign positioned below a minus sign. | \eqgtr | U+22DD |
| ⊆ | Subset of or equal to | A right-facing, uppercase letter U positioned above a short, horizontal line. The symbol resembles an uppercase letter U rotated clockwise 90 degrees and positioned above a short, horizontal line. | \subseteq | U+2286 |
| ⊇ | Superset of or equal to | A left-facing, uppercase letter U positioned above a short, horizontal line. The symbol resembles an uppercase letter U rotated counterclockwise 90 degrees and positioned above a short, horizontal line. | \supseteq | U+2287 |
| ⊲ | Normal subgroup of | A small isosceles triangle with its apex pointing to the left. The symbol resembles a small, narrow triangle rotated 90 degrees counterclockwise. | \vartriangleleft | U+22B2 |
| ⊳ | Contains as Normal Subgroup | A small isosceles triangle with its apex pointing to the right. The symbol resembles a small, narrow triangle rotated 90 degrees clockwise. | \vartriangleright | U+22B3 |
| ⊴ | Normal subgroup or equal to | A small isosceles triangle with its apex pointing to the left and positioned directly above a short, horizontal line. The symbol resembles a small, narrow triangle rotated 90 degrees counterclockwise and positioned above a minus sign. | \trianglelefteq | U+22B4 |
| ⊵ | Contains as Normal Subgroup or equal to | A small isosceles triangle with its apex pointing to the right and positioned directly above a short, horizontal line. The symbol resembles a small, narrow triangle rotated 90 degrees clockwise and positioned above a minus sign. | \trianglerighteq | U+22B5 |
| ⊨ | Entailment | A pair of short, parallel, horizontal lines with a vertical line intersecting the left ends of the horizontal lines. The symbol resembles an equals sign with a vertical line attached to the lefthand end. | \models, \entailment, or \true | U+22A8 |
| ⋐ | Nested subset | A right-facing uppercase letter U-shape with a wide bowl. A smaller, right-facing lowercase letter U-shape is positioned inside the larger U shape, creating a double-struck, uppercase U shape, rotated clockwise 90 degrees. | \Subset | U+22D0 |
| ⋑ | Nested superset | A left-facing uppercase letter U-shape with a wide bowl. A smaller, left-facing lowercase letter U-shape is positioned inside the larger U shape, creating a double-struck, uppercase U shape, rotated counterclockwise 90 degrees. | \Supset | U+22D1 |
| ⊏ | Square subset | A horizontal rectangle with a missing right side. The symbol resembles a square shaped uppercase letter C. | \sqsubset | U+228F |
| ⊐ | Square superset | A horizontal rectangle with a missing left side. The symbol resembles a horizontally flipped, square shaped uppercase letter C. | \sqsupset | U+2290 |
| ⊩ | Forces | The symbol is formed from 2 short, parallel, vertical lines intersecting with a short, horizontal line which leads to the left from the center of the righthand vertical line. | \vDash or \forces | U+22A9 |
| ⊪ | Triple vertical bar with turnstile | The symbol is formed from 3 short, parallel, vertical lines intersecting with a short, horizontal line which leads to the left from the center of the righthand vertical line. | \Vvdash | U+22AA |
| ≖ | Circle with equals sign | A small, centered circle is positioned between 2 short, parallel, horizontal lines. The symbol resembles a small circle positioned in the center of an equals sign. | \eqcirc | U+2256 |
| ≗ | Ring Equal To | A small circle is positioned above 2 short, parallel, horizontal lines. The symbol resembles a small circle positioned above an equals sign. | \circeq | U+2257 |
| ≜ | Delta Equal To | A small, equilateral triangle is positioned above 2 short, parallel, horizontal lines. The symbol resembles a small triangle positioned above an equals sign. | \Deltaeq | U+225C |
| ≏ | Difference between | A short, horizontal line with a central, upwards-facing bump, positioned above a short, horizontal line. The symbol resembles an equals sign with the upper line featuring a small, upwards-facing bump in the middle. | \bumpe | U+224F |
| ≎ | Geometrically equivalent to | A short, horizontal line with a central, upwards-facing bump, positioned above a short, horizontal line with a downwards-facing bump. The symbol resembles an equals sign with the upper line featuring a small, upwards-facing bump in the middle and the lower line featuring a downwards-facing bump in the middle. | \bumpeq | U+224E |
| ∝ | Proportional to | A horizontal figure-eight shape with a gap on the right side of the righthand loop. The symbol resembles a lapel ribbon rotated counterclockwise through 90 degrees. | \propto | U+221D |
| ≬ | Between | A left parenthesis overlaid with a right parenthesis. The symbol resembles 2 interwoven threads. | \between | U+226C |
| ⋔ | Pitchfork | An inverted uppercase letter U with a vertical line positioned symmetrically through the center of the bowl. The symbol resembles an inverted trident. | \pitchfork | U+22D4 |
| ≐ | Approaches the limit | A small dot is positioned above 2 short, parallel, horizontal lines. The symbol resembles a small dot positioned above an equals sign. | \doteq | U+2250 |
Matrix Operations
| Symbol | Symbol Name | Symbol Visual Description | AutoCorrect Command | Unicode |
|---|---|---|---|---|
| ⊗ | Kronecker product | A circle with a multiplication cross inside it. | \otimes or \kron | U+2297 |
| ⊙ | Hadamard product | A circle with a centered dot inside it. | \odot or \hadamard | U+2299 |
| † | Adjoint/Hermitian transpose | A short vertical line with a shorter horizontal line crossing near the top, resembling a dagger. | \adjoint | U+2020 |
| 𝐈 | Identity matrix | An uppercase letter I. | \identity | U+1D408 |
| ⊕ | Direct sum | A circle with a plus sign inside it. | \oplus or \directsum | U+2295 |
Arrows
This table provides symbols relevant to arrows, accompanied by their descriptions, symbol visual description, Unicode, and respective AutoCorrect commands in Word.
| Symbol | Symbol Name | Symbol Visual Description | AutoCorrect Command | Unicode |
|---|---|---|---|---|
| ← | Left Arrow | A straight, horizontal arrow pointing to the left. | \leftarrow or \gets | U+2190 |
| → | Right Arrow | A straight, horizontal arrow pointing to the right. | \rightarrow | U+2192 |
| ↑ | Upward Arrow | A straight, vertical arrow pointing upwards. | \uparrow | U+2191 |
| ↓ | Downward Arrow | A straight, vertical arrow pointing downwards. | \downarrow | U+2193 |
| ↔ | Left-right Arrow | A straight, horizontal line with arrowheads pointing both left and right. | \leftrightarrow | U+2194 |
| ↕ | Up-Down Arrow | A double-headed, short, single-lined arrow with arrowheads pointing upwards and downwards. | \updownarrow | U+2195 |
| ⇐ | Left Double Arrow | A double-lined, short arrow pointing to the left. | \Leftarrow | U+21D0 |
| ⇒ | Implication, double arrow (If...then) | A double-lined, short arrow, pointing to the right. | \Rightarrow, \Implication, or \Implies | U+21D2 |
| ⇑ | Upward Double Arrow | A double-lined, short arrow pointing upwards. | \Uparrow | U+21D1 |
| ⇓ | Downward Double Arrow | A double-lined, short arrow pointing downwards. | \Downarrow | U+21D3 |
| ⇔ | Biconditional, double arrow (If and only if) | A double-headed, double-lined, short arrow with arrowheads pointing to the left and right. | \Leftrightarrow or \Biconditional | U+21D4 |
| ⇕ | Up-Down Double Arrow | A double-headed, double-lined, short arrow with arrowheads pointing upwards and downwards. | \Updownarrow | U+21D5 |
| ⟵ | Long Left Arrow | A single-lined, long arrow pointing to the left. | \longleftarrow | U+27F5 |
| ⟶ | Long Right Arrow | A single-lined, long arrow pointing to the right. | \longrightarrow | U+27F6 |
| ⟷ | Long Left-Right Arrow | A double-headed, single-lined, long arrow with arrowheads pointing to the left and right. | \longleftrightarrow | U+27F7 |
| ⟸ | Long Left Double Arrow | A double-lined, long arrow pointing to the left. | \Longleftarrow | U+27F8 |
| ⟹ | Long Right Double Arrow | A double-lined, long arrow, pointing to the right. | \Longrightarrow | U+27F9 |
| ⟺ | Long Left-Right Double Arrow | A double-headed, double-lined, long arrow with arrowheads pointing to the left and right. | \Longleftrightarrow | U+27FA |
| ↗ | Diagonal Upward Right Arrow | A single-lined, short arrow pointing diagonally up to the right. | \nearrow | U+2197 |
| ↖ | Diagonal Upward Left Arrow | A single-lined, short arrow pointing diagonally up to the left. | \nwarrow | U+2196 |
| ↘ | Diagonal Downward Right Arrow | A single-lined, short arrow pointing diagonally down to the right. | \searrow | U+2198 |
| ↙ | Diagonal Downward Left Arrow | A single-lined, short arrow pointing diagonally down to the left. | \swarrow | U+2199 |
| ↚ | Left Arrow with Stroke | A single-lined, short arrow pointing to the left and struck through with a short, diagonal line sloping up from left to right. | \nleftarrow | U+219A |
| ↛ | Right Arrow with Stroke | A single-lined, short arrow pointing to the right and struck through with a short, diagonal line sloping up from left to right. | \nrightarrow | U+219B |
| ↮ | Left-Right Arrow with Stroke | A double-headed, single-lined, short arrow with arrowheads pointing to the right and left, and struck through with a short, diagonal line sloping up from left to right. | \nleftrightarrow | U+21AE |
| ⇍ | Left Double Arrow with Stroke | A double-lined, short arrow pointing to the left and struck through with a short, diagonal line sloping up from left to right. | \nLeftarrow | U+21CD |
| ⇏ | Right Double Arrow with Stroke | A double-lined, short arrow pointing to the right and struck through with a short, diagonal line sloping up from left to right. | \nRightarrow | U+21CF |
| ⇎ | Left Right Double Arrow with Stroke | A double-headed, double-lined, short arrow with arrowheads pointing to the right and left and struck through with a short, diagonal line sloping up from left to right. | \nLeftrightarrow | U+21CE |
| ⇠ | Left Dashed Arrow | A single-lined, short, dashed arrow pointing to the left. | \dasharrowleft | U+21E0 |
| ⇢ | Right Dashed Arrow | A single-lined, short, dashed arrow pointing to the right. | \dasharrowright | U+21E2 |
| ↤ | Left Arrow from Bar | A single-lined, short arrow pointing to the left with a very short, vertical line positioned at the right end. | \mapstoleft | U+21A4 |
| ↦ | Right Arrow from Bar | A single-lined, short arrow pointing to the right with a very short, vertical line positioned at the left end. | \mapsto | U+21A6 |
| ⟻ | Long Left Arrow from Bar | A single-lined, long arrow pointing to the left with a very short, vertical line positioned at the right end. | \longmapstoleft | U+27FB |
| ⟼ | Long Right Arrow from Bar | A single-lined, long arrow pointing to the right with a very short, vertical line positioned at the left end. | \longmapsto | U+27FC |
| ↩ | Left Arrow with Hook | A single-lined, short arrow pointing to the left with a small, hooked tail curling upwards and to the left. | \hookleftarrow | U+21A9 |
| ↪ | Right Arrow with Hook | A single-lined, short arrow pointing to the right with a small, hooked tail curling upwards to the right. | \hookrightarrow | U+21AA |
| ↼ | Left Harpoon with Barb Facing Upwards | A single-lined arrow with a harpoon barbed tip pointing to the left. The symbol features a half-arrowhead positioned at the upper tip of the left end of the horizontal line. | \leftharpoonup | U+21BC |
| ↽ | Left Harpoon with Barb Facing Downwards | A single-lined arrow with a harpoon barbed tip pointing to the left. The symbol features a half-arrowhead positioned at the lower tip of the left end of the horizontal line. | \leftharpoondown | U+21BD |
| ⇀ | Right Harpoon with Barb Facing Upwards | A single-lined arrow with a harpoon barbed tip pointing to the right. The symbol features a half-arrowhead positioned at the upper tip of the right end of the horizontal line. | \rightharpoonup | U+21C0 |
| ⇁ | Right Harpoon with Barb Facing Downwards | A single-lined arrow with a harpoon barbed tip pointing to the right. The symbol features a half-arrowhead positioned at the lower tip of the right end of the horizontal line. | \rightharpoondown | U+21C1 |
| ↿ | Upward Harpoon with Barb on Left | A single-lined arrow with a harpoon barbed tip pointing upwards. The symbol features a half-arrowhead positioned on the left side of the upper end of the vertical line. | \upharpoonleft | U+21BF |
| ↾ | Upward Harpoon with Barb on Right | A single-lined arrow with a harpoon barbed tip pointing upwards. The symbol features a half-arrowhead positioned on the right side of the upper end of the vertical line. | \upharpoonright | U+21BE |
| ⇃ | Downward Harpoon with Barb on Left | A single-lined arrow with a harpoon barbed tip pointing downwards. The symbol features a half-arrowhead positioned on the left side of the lower end of the vertical line. | \downharpoonleft | U+21C3 |
| ⇂ | Downward Harpoon with Barb on Right | A single-lined arrow with a harpoon barbed tip pointing downwards. The symbol features a half-arrowhead positioned on the right side of the lower end of the vertical line. | \downharpoonright | U+21C2 |
| ⇋ | Left Harpoon Over Right Harpoon | A single-lined arrow with a harpoon barbed tip pointing to the left positioned above a single-lined arrow with a harpoon barbed tip pointing to the right. The barb on the upper harpoon is positioned at the upper tip of the left end of the harpoon. The barb on the lower harpoon is position on the lower tip of the right end of the harpoon. | \leftrightharpoons | U+21CB |
| ⇌ | Right Harpoon Over Left Harpoon | A single-lined arrow with a harpoon barbed tip pointing to the right positioned above a single-lined arrow with a harpoon barbed tip pointing to the left. The barb on the upper harpoon is positioned at the upper tip of the right end of the harpoon. The barb on the lower harpoon is position on the lower tip of the left end of the harpoon. | \rightleftharpoons | U+21CC |
| ⇇ | Left paired Arrows | A stacked pair of single-lined, short arrows, both pointing to the left. | \leftleftarrows | U+21C7 |
| ⇉ | Right paired Arrows | A stacked pair of single-lined, short arrows, both pointing to the right. | \rightrightarrows | U+21C9 |
| ⇈ | Upwards paired Arrows | A stacked pair of single-lined, short arrows, both pointing upwards. | \upuparrows | U+21C8 |
| ⇊ | Downwards paired Arrows | A stacked pair of single-lined, short arrows, both pointing downwards. | \downarrows | U+21CA |
| ⇆ | Left Arrow Over Right Arrow | A stacked pair of single-lined, short arrows. The upper arrow points to the left and the lower arrow points to the right. | \leftrightarrows | U+21C6 |
| ⇄ | Right Arrow Over Left Arrow | A stacked pair of single-lined, short arrows. The upper arrow points to the right and the lower arrow points to the left. | \rightleftarrows | U+21C4 |
| ↫ | Left Arrow with Loop | A single-lined, short arrow pointing to the left and featuring a tail that loops up and back down over the horizontal line of the arrow. | \looparrowleft | U+21AB |
| ↬ | Right Arrow with Loop | A single-lined, short arrow pointing to the right and featuring a tail that loops up and back down over the horizontal line of the arrow. | \looparrowright | U+21AC |
| ↢ | Left Arrow with Tail | A single-lined, short arrow pointing to the left with a V-shaped tail. | \leftarrowtail | U+21A2 |
| ↣ | Right Arrow with Tail | A single-lined, short arrow pointing to the right with a V-shaped tail. | \rightarrowtail | U+21A3 |
| ↰ | Upward Arrow with Tip on Left | A single-lined, long arrow pointing upwards and to the left. | \Lsh | U+21B0 |
| ↱ | Upward Arrow with Tip on Right | A single-lined, long arrow pointing upwards and to the right. | \Rsh | U+21B1 |
| ↲ | Downward Arrow with Tip on Left | A single-lined, long arrow pointing downwards and to the left. | \ldsh | U+21B2 |
| ↳ | Downward Arrow with Tip on Right | A single-lined, long arrow pointing downwards and to the right. | \rdsh | U+21B3 |
| ⇚ | Left Triple Arrow | A triple-lined, short arrow pointing to the left. | \Lleftarrow | U+21DA |
| ⇛ | Right Triple Arrow | A triple-lined, short arrow pointing to the right. | \Rrightarrow | U+21DB |
| ↞ | Left Two-Headed Arrow | A single-lined, short arrow pointing to the left and featuring 2 arrowheads positioned side by side at the tip of the arrow. | \twoheadleftarrow | U+219E |
| ↠ | Right Two-Headed Arrow | A single-lined, short arrow pointing to the right and featuring 2 arrowheads positioned side by side at the tip of the arrow. | \twoheadrightarrow | U+21A0 |
| ↶ | Anticlockwise Top Semicircle Arrow | A single-lined, short, curved, concave down arrow pointing in a counterclockwise direction. | \curvearrowleft | U+21B6 |
| ↷ | Clockwise Top Semicircle Arrow | A single-lined, short, curved, concave down arrow pointing in a clockwise direction. | \curvearrowright | U+21B7 |
| ↺ | Counterclockwise Open Semicircle Arrow | A single-lined, circular, counterclockwise arrow. | \circlearrowleft | U+21BA |
| ↻ | Clockwise Open Semicircle Arrow | A single-lined, circular clockwise arrow. | \circlearrowright | U+21BB |
| ⊸ | Multimap | A short, centered, horizontal line with a small circle positioned at the right end of the line. | \multimap | U+22B8 |
| ↭ | Left-Right Wave Arrow | A short, horizontal, wavy line with arrowheads at each end, pointing to the left and the right. | \leftrightwavearrow | U+21AD |
| ↜ | Left Wave Arrow | A short, horizontal, wavy line with a left-pointing arrowhead. | \leftwavearrow | U+219C |
| ↝ | Right Wave Arrow | A short, horizontal, wavy line with a right-pointing arrowhead. | \rightwavearrow | U+219D |
| ⇜ | Left Squiggle Arrow | A short, horizontal, zigzag line with a left-pointing arrowhead. | \leftsquigarrow | U+21DC |
| ⇝ | Right Squiggle Arrow | A short, horizontal, zigzag line with a right-pointing arrowhead. | \rightsquigarrow | U+21DD |
Negated Relations
This table provides symbols relevant to negated relations, accompanied by their descriptions, symbol visual description, Unicode, and respective AutoCorrect commands in Word.
| Symbol | Symbol Name | Symbol Visual Description | AutoCorrect Command | Unicode |
|---|---|---|---|---|
| ≠ | Not Equal To | Two short, parallel horizontal lines of equal length, struck through with a diagonal line sloping up from left to right. | \neq or \ne | U+2260 |
| ≮ | Not Less Than | A sharp-angled, left-facing arrowhead, resembling a V-shape pointing to the left, struck through with a diagonal line sloping up from left to right. | /<, \nlt, or \notlt | U+226E |
| ≯ | Not Greater Than | A sharp-angled, right-facing arrowhead, resembling a V-shape pointing to the right, struck through with a diagonal line sloping up from left to right. | /> or \ngt, or \notgt | U+226F |
| ≰ | Not Less Than or Equal To | A sharp-angled, left-facing arrowhead, resembling a V-shape pointing to the left, is positioned above a short, horizontal line, and struck through with a diagonal line sloping upwards from left to right. | \le, \nleq, or \notle | U+2270 |
| ≱ | Not Greater Than or Equal To | A sharp-angled, right-facing arrowhead, resembling a V-shape pointing to the right, is positioned above a short, horizontal line, and struck through with a diagonal line sloping upwards from left to right. | \ge, \nge, \ngeq, \notgeq or \notge | U+2271 |
| ≢ | Not Identical To | A stack of 3 short, parallel horizontal lines of equal length struck through with a diagonal line sloping up from left to right. | \nequiv | U+2262 |
| ≁ | Not Tilde | A short, horizontal, wavy line, struck through with a diagonal line sloping up from left to right. The symbol is identical to a struck through tilde. | \nsim | U+2241 |
| ≄ | Not Asymptotically Equal To | A short, horizontal, wavy line positioned directly above a short, horizontal straight line. Both lines are struck through with a diagonal line, sloping up from left to right. The symbol is identical to a tilde stacked above a minus sign and struck through. | \nsimeq | U+2244 |
| ≉ | Not Almost Equal To | Two, short, horizontal wavy lines, stacked one above the other and struck through with a diagonal line sloping up from left to right. The symbol is identical to two stacked tildes struck through. | \approx or \notapprox | U+2249 |
| ≇ | Not congruent to | A short, horizontal, wavy line stacked directly above 2 short, parallel, horizontal straight lines, and struck through with a diagonal line sloping up from left to right. The symbol is identical to a tilde stacked above an equals sign and struck through. | \cong, \ncong, or \notcong | U+2247 |
| ≭ | Not Equivalent To | A shallow concave upwards arc positioned directly above a concave downwards arc and struck through with a diagonal line sloping up from left to right. The symbol resembles a curved equals sign constructed from a right parenthesis rotated 90 degrees clockwise positioned above a left parenthesis rotated 90 degrees clockwise, and struck through. | \nasymp | U+226D |
| ≨ | Less-Than But Not Equal To | A sharp-angled, left-facing arrowhead, resembling a V-shape pointing to the left, is stacked above 2 short, parallel, horizontal lines, and struck through with a diagonal line sloping up from left to right. The symbol is identical to a more than sign positioned above an equals sign which is struck through. | \lneqq | U+2268 |
| ≩ | Greater-Than But Not Equal To | A sharp-angled, right-facing arrowhead, resembling a V-shape pointing to the right, is stacked above 2 short, parallel, horizontal lines, and struck through with a diagonal line sloping up from left to right. The symbol is identical to a less than sign positioned above an equals sign which is struck through. | \gneqq | U+2269 |
| ⊀ | Does Not Precede | A curved less than symbol struck through with a diagonal line sloping up from left to right. The symbol resembles a curved, left-facing V-shape, struck through. | \nprec | U+2280 |
| ⊁ | Does Not Succeed | A curved more than symbol struck through with a diagonal line sloping up from left to right. The symbol resembles a curved, right-facing V-shape, struck through. | \nsucc | U+2281 |
| ⋠ | Does Not Precede or Equal | A curved, left-facing V-shape positioned above a shallow concave down, curved line, and struck through with a diagonal line sloping up from left to right. The symbol resembles a curved less than symbol positioned above a curved, concave down arc, which is aligned parallel with the lower arm of the V shape, and struck through. | \npreceq | U+22E0 |
| ⋡ | Does Not Succeed or Equal | A curved, right-facing V-shape positioned above a shallow concave down, curved line, struck through with a diagonal line sloping up from left to right. The symbol resembles a curved more than symbol positioned above a curved, concave down arc, which is aligned parallel with the lower arm of the V shape, and struck through. | \nsucceq | U+22E1 |
| ∉ | Not an Element Of | An uppercase letter E with a curved stem struck through with a diagonal line sloping upwards from left to right. The symbol resembles an uppercase letter C with a horizontal line positioned symmetrically and struck through with a diagonal line sloping up from left to right. | \notin | U+2209 |
| ∌ | Not Contains As Member | A horizontally flipped uppercase letter E with a curved stem, struck through with a diagonal line sloping up from left to right. The symbol resembles a horizontally flipped uppercase letter C with a horizontal line positioned symmetrically, and struck through. | \notni | U+220C |
| ⊄ | Not a Subset Of | A right-facing, uppercase letter U, struck through with a diagonal line sloping up from left to right. The symbol resembles an uppercase letter U rotated clockwise 90 degrees and struck through. | \subset or \notsubset | U+2284 |
| ⊅ | Not a Superset Of | A left-facing, uppercase letter U, struck through with a diagonal line sloping up from left to right. The symbol resembles an uppercase letter U rotated counterclockwise 90 degrees and struck through. | \superset or \notsuperset | U+2285 |
| ⊈ | Neither a subset of nor equal to | A right-facing, uppercase letter U positioned above a short, horizontal line, and struck through with a diagonal line sloping up from left to right. The symbol resembles an uppercase letter U rotated clockwise 90 degrees and positioned above a short, horizontal line and struck through. | \subseteq or \notsubseteq | U+2288 |
| ⊉ | Neither a superset of nor equal to | A left-facing, uppercase letter U positioned above a short, horizontal line, and struck through with a diagonal line sloping up from left to right. The symbol resembles an uppercase letter U rotated counterclockwise 90 degrees and positioned above a short, horizontal line, and struck through. | \superseteq or \notsuperseteq | U+2289 |
| ⊊ | Subset Of with Not Equal To | A right-facing, uppercase letter U positioned above a short, horizontal line which is struck through with a very short diagonal line sloping up from left to right. The symbol resembles an uppercase letter U rotated clockwise 90 degrees and positioned above a short, horizontal line which is struck through with a very short diagonal line. | \subsetnoteq | U+228A |
| ⊋ | Superset Of with Not Equal To | A left-facing, uppercase letter U positioned above a short, horizontal line which is struck through with a very short diagonal line sloping up from left to right. The symbol resembles an uppercase letter U rotated counterclockwise 90 degrees and positioned above a short, horizontal line which is struck through with a very short diagonal line. | \supsetneq or \supsetnoteq | U+228B |
| ⋢ | Not Square Subset or Equal To | A horizontal rectangle with a missing right side, positioned directly above a single, short, horizontal line and struck through with a diagonal line sloping up from left to right. | \nsqsubseteq | U+22E2 |
| ⋣ | Not Square Superset | A horizontal rectangle with a missing left side, positioned directly above a single, short, horizontal line, and struck through with a diagonal line sloping up from left to right. | \nsqsupseteq | U+22E3 |
| ⋦ | Less-Than But Not Equivalent To | A sharp-angled, left-facing arrowhead, resembling a V-shape pointing to the left, is positioned above a short, horizontal, wavy line, which is struck through with a very short diagonal line sloping upwards from left to right. | \lnsim | U+22E6 |
| ⋧ | Greater-Than But Not Equivalent To | A sharp-angled, right-facing arrowhead, resembling a V-shape pointing to the left, is positioned above a short, horizontal, wavy line, which is struck through with a very short diagonal line sloping upwards from left to right. | \gnsim | U+22E7 |
| ⋨ | Precedes But Not Equivalent To | A curved, left-facing V-shape positioned above a short, horizontal, wavy line, which is struck through with a very short diagonal line sloping up from left to right. The symbol resembles a curved less than symbol positioned above a tilde which is struck through. | \precnsim | U+22E8 |
| ⋩ | Succeeds But Not Equivalent To | A curved, right-facing V-shape positioned above a short, horizontal, wavy line, which is struck through with a very short diagonal line sloping up from left to right. The symbol resembles a curved more than symbol positioned above a tilde which is struck through. | \succnsim | U+22E9 |
| ⋪ | Not Normal Subgroup Of | A small isosceles triangle with its apex pointing to the left, struck through with a diagonal line sloping up from left to right. The symbol resembles a small, narrow triangle rotated 90 degrees counterclockwise, and struck through. | \ntriangleleft | U+22EA |
| ⋫ | Does Not Contain as Normal Subgroup Of | A small isosceles triangle with its apex pointing to the right, struck through with a diagonal line sloping up from left to right. The symbol resembles a small, narrow triangle rotated 90 degrees clockwise, and struck through. | \ntrianglerighteq | U+22EB |
| ⋬ | Not Normal Subgroup Of or Equal To | A small isosceles triangle with its apex pointing to the left and positioned directly above a short, horizontal line, and struck through. The symbol resembles a small, narrow triangle rotated 90 degrees counterclockwise and positioned above a minus sign, and struck through. | \ntrianglelefteq | U+22EC |
| ⋭ | Does Not Contain As Normal Subgroup or Equal To | A small isosceles triangle with its apex pointing to the right and positioned directly above a short, horizontal line, and struck through. The symbol resembles a small, narrow triangle rotated 90 degrees clockwise and positioned above a minus sign, and struck through. | \ntrianglerighteq | U+22ED |
| ∤ | Does Not Divide | A vertical line struck through at the center point with a short, diagonal line sloping up from left to right. | \nmid | U+2224 |
| ∦ | Not Parallel | Two parallel, vertical lines positioned closely together and struck through with a short diagonal line sloping up from left to right. The symbol resembles an elongated equals sign rotated 90 degrees and struck through. | \notparallel | U+2226 |
| ⃗ | Ray (combining right arrow above) | A horizontal arrow pointing right, placed above a letter. | \vec or \ray | U+20D7 |
| ⏜ | Arc | A curved line shaped like the top half of a circle. | \overparen or \arc | U+23DC |
| ⊬ | Does Not Prove | The symbol is formed from a short, vertical line intersecting with a short, horizontal line which leads to the left from the center of the vertical line. The horizontal line is struck through with a diagonal line sloping up from left to right. | \nvdash | U+22AC |
| ⊭ | Not True | A pair of short, parallel, horizontal lines with a vertical line intersecting the left ends of the horizontal lines. The 2 parallel, horizontal lines are struck through with a diagonal line sloping up from left to right. The symbol resembles an equals sign with a vertical line attached to the lefthand end, and the equals sign is struck through. | \nvDash | U+22AD |
| ⊮ | Does Not Force | The symbol is formed from 2 short, parallel, vertical lines intersecting with a short, horizontal line which leads to the left from the center of the righthand vertical line. The horizontal line is struck through with a diagonal line sloping up from left to right. | \nVdash | U+22AE |
| ⊯ | Negated Double Vertical Bar Double Right Turnstile | The symbol is formed from 2 short, parallel, vertical lines intersecting with a pair of short, horizontal lines which lead to the left from the center of the righthand vertical line. The 2 horizontal lines are struck through with a diagonal line sloping up from left to right. | \nVDash | U+22AF |
| ∄ | There Does Not Exist | A horizontally flipped uppercase letter E struck through with a diagonal line sloping up from left up to right. | \nexists | U+2204 |
Geometry
This table provides symbols relevant to geometry, accompanied by their descriptions, symbol visual description, Unicode, and respective AutoCorrect commands in Word.
| Symbol | Symbol Name | Symbol Visual Description | AutoCorrect Command | Unicode |
|---|---|---|---|---|
| ◯ | Circle | A simple, unfilled circle. | \circle | U+25EF |
| ⊙ | Circle with dot inside | A circle with a centered dot inside it. | \odot or \circledot | U+2299 |
| ⃡ | Line (combining left-right arrow above) | A horizontal line with arrowheads pointing both left and right, placed above a letter. | \tvec or \line | U+20E1 |
| ¯ | Segment | A short, horizontal line positioned above letters or digits. | \overbar, \overline, or \seg | U+00AF |
| ∟ | Right Angle | A 90-degree, right angle formed from a short, vertical line intersecting with and leading up from the left end of a short vertical line. The symbol resembles a small uppercase letter L. | \rightangle | U+221F |
| ∠ | Angle | A 45-degree angle. The symbol is formed from a short horizontal line with a diagonal line intersecting with the left end and sloping up from left to right. | \angle | U+2220 |
| ∡ | Measured Angle | A 45-degree angle. The symbol is formed from a short horizontal line with a diagonal line intersecting with the left end and sloping up from left to right. The symbol is struck through with a semi-circular, concave down arc, representing the angle. | \angmsd or \measangle | U+2221 |
| ∢ | Spherical Angle | A 45-degree angle tilted at a slight angle and struck through with a vertically aligned, semi-circular arc. The symbol resembles a left-facing V-shape overlaid with a right parenthesis representing the angle. | \angsph | U+2222 |
| ⊾ | Right Angle with Arc | A 90-degree, right angle formed from a short, vertical line intersecting with the left end of a short vertical line. A small, semi-circular angle symbol is positioned in the angle corner. The symbol resembles a small uppercase letter L with a small arc nested in the angle. | \angrtvb | U+22BE |
| ⊿ | Right Triangle | A small, right angled triangle with the hypotenuse sloping up from left to right and the vertical opposite side positioned on the right. | \rtriangle or \vartriangle | U+22BF |
| △ | Triangle | An equilateral triangle. | \triangle | U+25B3 |
| ▱ | Parallelogram | A slanted quadrilateral. | \underline or \parallelogram | U+25B1 |
| ⋕ | Equal and Parallel To | Two parallel, vertical lines positioned closely together and bisected by 2 shorter, horizontal lines. The symbol resembles a hashtag. | \epar or \equalparallel | U+22D5 |
| → | Implication (If...then) | A straight, horizontal arrow pointing to the right. | \rightarrow, \implication or \implies | U+2192 |
| ↔︎ | Biconditional (If and only if) | A straight, horizontal line with arrowheads pointing both left and right. | \leftrightarrow or \biconditional | U+2194 |
| ∤ | Does Not Divide | A vertical line struck through at the center point with a short, diagonal line sloping up from left to right. | \nmid | U+2224 |
| ∥ | Parallel To | Two parallel, vertical lines positioned closely together. The symbol resembles an elongated equals sign rotated 90 degrees. | \parallel | U+2225 |
| ∦ | Not Parallel To | Two parallel, vertical lines positioned closely together and struck through with a diagonal line sloping up from left to right. The symbol resembles an elongated equals sign rotated 90 degrees and struck through. | \nparallel or \notparallel | U+2226 |
| ∶ | Ratio | A stack of 2 small dots. The symbol is identical to a colon symbol. | \ratio | U+2236 |
| ∷ | Proportion | 4 small dots forming a square shape. The symbol is identical to two colons positioned side by side. | \Colon | U+2237 |
| ∴ | Therefore | Three small dots forming an equilateral triangle, with apex pointing upwards. | \therefore | U+2234 |
| ∵ | Because | Three small dots forming an equilateral triangle, with apex pointing downwards. | \because | U+2235 |
| ∎ | End of Proof (Q.E.D.) | A small, filled-in square. | \qed or \endproof | U+220E |
Scripts
The following tables provides symbols relevant to scripts, Frakturs, and Double-Struck accompanied by their Symbol Name, and respective AutoCorrect commands in Word.
Note
The other letters of Scripts, Frakturs, and Double-Struck will continue the same pattern as shown below in tables.
Scripts
| Symbol | Symbol Name | AutoCorrect Command |
|---|---|---|
| A | Script Capital A | \scriptA |
| a | Script Lowercase A | \scripta |
Frakturs
| Symbol | Symbol Name | AutoCorrect Command |
|---|---|---|
| A | Fraktur Capital A | \frakturA |
| a | Fraktur Lowercase A | \fraktura |
Double-Struck
| Symbol | Symbol Name | AutoCorrect Command |
|---|---|---|
| A | Double-Struck Capital A | \doubleA |
| a | Double-Struck Lowercase A | \doublea |