Algebra Symbols
Tags: Nomenclature and Symbols
Algebra SymbolsThis is a list of the most common Algebra symbols. | ||
|---|---|---|
| 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, \(\pi = 3.141592654... \) | \(C = \pi \cdot d = 2 \cdot \pi \cdot r\) |
Tags: Nomenclature and Symbols