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Algebra Symbols

  • This is a list of the most common Algebra symbols.
SymbolDefinitionExample
= equal to 5+4=9
not equal to 54
identical to ab
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

 

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