Algebra Symbols
Algebra Symbols
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Symbol | Definition | Example |
= | equal to | 5+4=9 |
≠ | not equal to | 5≠4 |
≡ | identical to | a≡b |
≢ | 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 |