Algebra symbols

Algebra symbols

 

Algebra symbols with Symbol Name, Meaning, and definition and also with Example:                                                                                            

 

1.  

 

Symbol	Name	Meaning/Definition	Example
$x$	Variable	Unknown value to find	$2x=4$, solve for $x$, x$x=2$
$\equiv$	Equivalence	Identical to	$2x+3\equiv 7-x$
$\triangleq$	Definition	Equal by definition	$C=\pi \cdot d$
$:=$	Definition	Equal by definition	$n:=5$
$\sim$	Approximation	Weak approximation	$\sim 2.7$
$\approx$	Approximation	Numerical approximation	$\pi \approx 3.14$
$\propto$	Proportional To	Proportional to	$y\propto x$
$\infty$	Infinity	Infinitely large value	limx→∞​x1​=0
$\ll$	Much Less Than	Much smaller than	$0.001\ll 1$
$\gg$	Much Greater Than	Much larger than	$100\gg 10$
$()$	Parentheses	Grouping and prioritizing operations	$2\times (3+5)=16$
$[]$	Brackets	Enclosing expressions or intervals	$[1,5]$
$\{\}$	Braces	Enclosing sets or collections	$\{1,2,3\}$
$\lfloor x\rfloor$	Floor Brackets	Rounding down to nearest integer	$\lfloor 4.7\rfloor =4$
$\lceil x\rceil$	Ceiling Brackets	Rounding up to nearest integer	$\lceil 4.3\rceil =5$
$x!$	Factorial	Product of positive integers	$4!=1\cdot 2\cdot 3\cdot 4=24$
(	x	)	Absolute Value
$f(x)$	Function Notation	Value of function $f$ at $x$	$f(5)=2\cdot 5+3=13$
$(f\circ g)$	Function Composition	Applying $f$ to result of $g$	$(f\circ g)(3)=8$
$(a,b)$	Open Interval	Real numbers between $a$ and $b$	$x\in (0,1)$
$[a,b]$	Closed Interval	Real numbers between $a$ and $b$	$x\in [2,5]$
$\Delta$	Change / Difference	Difference in quantity	Δx=x2​−x1​
$\Sigma$	Summation Symbol	Sum of a series of terms	∑i=15​i=15
$\Pi$	Product Symbol	Product of a series of factors	∏i=13​2i=64
$e$	Euler’s Number	Mathematical constant	A=P⋅ert
$\gamma$	Euler-Mascheroni Constant	Mathematical constant	Appears in number theory
$\varphi$	Golden Ratio	Mathematical constant	Used in art, architecture, and design
$\pi$	Pi Constant	Circle’s ratio of circumference to diameter	$C=2\pi r$

This table provides a concise overview of each symbol’s name, its meaning or definition, and an example of how it might be used.

←BLACK