Algebra Symbols
- This is a list of the most common Algebra symbols.
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|---|
| Symbol | Definition | Example |
|---|
| \(=\) |
equal to |
\(5+4=9\) |
| \(\ne\) |
not equal to |
\(5\ne4\) |
| \(\equiv\) |
identical to |
\(a \equiv b\) |
| \(\not\equiv\) |
not identical to |
\(a \not\equiv b\) |
| \(\sim\) |
similar to |
\(a \sim b\) |
| \(\approx\) |
approximately equal to |
\(a \approx b\) |
| \(>\) |
greater than |
\(5>4\) |
| \(\gg\) |
much greater than |
\(50000 \gg 4\) |
| \(<\) |
less than |
\(4<5\) |
| \(\ll\) |
much less than |
\(4 \ll 50000\) |
| \(\ge\) |
greater than or equal to |
\(a \ge b\) |
| \(\le\) |
less than or equal to |
\(a \le b\) |
| \(\Rightarrow\) |
implies if...then |
\(a+b+c=1\;\Rightarrow\;c+b+a=1\) |
| \(\Leftrightarrow\) |
is equivalent to if in only if (iff) |
\(a=b+1\;\Leftrightarrow\;b=a+1\) |
| \(\therefore\) |
therefore |
\( a=b\; \therefore\; b=a \) |
| \( \sum\) |
sigma, summation or sum of all |
\( \sum_{n=4}^8 n = 4+5+6+7+8=30 \) |
| \(\left(\; \right)\) |
parentheses, calculate expression inside first |
\( 5\times \left(5+4\right) = 45\) |
| \(\left[\; \right]\) |
brackets, calculate expression inside first |
\( \left[ \left(5+4\right) \times \left(9+4\right) \right] = 117\) |
| \(\{ \; \}\) |
set, a collection |
\(A = \{4, 5, 9 \} \) |
| \(\lfloor x \rfloor\) |
rounds number to lower integer |
\(\lfloor 5.4 \rfloor = 5\) |
| \(\lceil x \rceil\) |
rounds number to upper integer |
\(\lceil 5.4 \rceil = 6\) |
| \(\left | x \right |\) |
absolute value |
\(\left | -5 \right | = 5 \) |
| \(\left \| x \right \|\) |
normal |
|
| \(x!\) |
factorial |
\(5!=5\;x\;4\;x\;3\;x\;2\;x\;1=120 \) |
| \(a^n\) |
power, an exponent |
\(5^4 = 3125\) |
| \(a\wedge b\) |
caret, an exponent |
\(5\wedge4 = 3125\) |
| \( \sqrt a\) |
Square root - \(\sqrt a \;\times\; \sqrt a = a\) |
\(\sqrt 9= 3\) |
| \(^3\sqrt a\) |
cube root - \(^3\sqrt a \;\times\; ^3\sqrt a \;\times\; ^3\sqrt a = a\) |
\(^3\sqrt 9 = 2.08008382305\) |
| \(^4\sqrt a\) |
4th root - \(^4\sqrt a \;\times\; ^4\sqrt a \;\times\; ^4\sqrt a \;\times\; ^4\sqrt a = a\) |
\(^4\sqrt 9 = 1.73205080757\) |
| \( ^n\sqrt a\) |
n-th root |
\(n=5\;\), \(\;^n\sqrt 9 = 1.55184557391\) |
| \(\gamma\) |
Euler-Mascheroni constant |
\(\gamma = 0.5772156649...\) |
| \(\Phi\) |
golden ratio |
\(1 : 1.6180339887...\) |
| \(\pi\) |
Pi, \(\pi = 3.141592654... \) |
\(C = \pi \cdot d = 2 \cdot \pi \cdot r\) |
