Table Of Algebra Symbols with Examples

Math Algebra Symbols with Examples

Symbol	Symbol Name	Symbol Meaning	Example
x	x Variable	unknown value to find	when 3x = 9, thenx = 3
≡	Congruence Relation	identical to	5 ≡ 2 (mod 3)
≜	Is Equal By Definition	is equal by definition	a≜b
	Is Equal By Definition	is equal by definition	AB
:=	Is Equal By Definition	is equal by definition	a:=b
~	Approximately Equal	is similar to	∆ABC ~ ∆DEF means triangle ABC is similar to triangle DEF.
≈	Approximately Equal	approximation
∝	Is Proportional to	is proportional to	y∝ x means, when y = kx, k constant
∞	Lemniscate	infinity symbol	1 / 0 = ∞
≪	Much Less Than	x ≪ y means x is much less than y.	0.001≪ 1000000
≫	Much Greater Than	x ≫ y means x is much greater than y.	1000000≫ 0.001
( )	Parentheses	calculate expression inside first	3 * (3+3) = 18
[ ]	Brackets	calculate expression inside first	[(1+1)*(1+1)] = 4
{ }	Braces	set	{..., -3,-2,-1,0,1,2,3, ... }
⌊x⌋	Floor Brackets	rounds number to lower integer	⌊5.4⌋= 5
⌈x⌉	Ceiling Brackets	rounds number to upper integer	⌈5.4⌉= 6
x!	Exclamation Mark	factorial	3! = 123 = 6
\| x \|	Single Vertical Bar	absolute value	\| -8 \| = 8
f (x)	Function of x	maps values of x to f(x)	f (x) = 2x+3
(f ∘g)	Function Composition	(f ∘g) (x) = f (g(x))	f (x)=3x, g(x)=x-1 ⇒(f ∘g)(x)=3(x-1)
(a,b)	Open Interval	(a,b) = {x \| a < x < b}	x ∈ (3,9)
[a,b]	Closed Interval	[a,b] = {x \| a ≤ x ≤ b}	x ∈ [3,9]
∆	Delta	change / difference	∆t = t₁- t₀
∆	Discriminant	Δ = b² - 4ac	∆ = 5²-4(1)(4), = 25 - 16 , = 9
∑	Sigma	summation - sum of all values in range of series	∑ x_i= x₁+x₂+...+x_n
∑∑	Sigma	double summation
∏	Capital pi	product - product of all values in range of series	∏ x_i=x₁∙x₂∙...∙x_n
e	e Constant/ Euler's Number	e = 2.718281828...	e = lim (1+1/x)^x, x→∞
γ	Euler-Mascheroni constant	γ = 0.527721566...
φ	Golden Ratio	golden ratio constant
π	pi Constant	π = 3.141592654... is the ratio between the circumference and diameter of a circle

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