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Symbol: x
Symbol Name: x variable
Meaning / definition: unknown value to find
Example: when 2x = 4, then x = 2
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Symbol: ≜
Symbol Name: equal by definition
Meaning / definition: equal by definition
Example:
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Symbol: :=
Symbol Name: equal by definition
Meaning / definition: equal by definition
Example:
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Symbol: ~
Symbol Name: approximately equal
Meaning / definition: weak approximation
Example: 11 ~ 10
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Symbol: ≈
Symbol Name: approximately equal
Meaning / definition: approximation
Example: sin(0.01) ≈ 0.01
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Symbol: ∝
Symbol Name: proportional to
Meaning / definition: proportional to
Example:
y ∝ x when y = kx, k constant
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Symbol: ≪
Symbol Name: much less than
Meaning / definition: much less than
Example: 1 ≪ 1000000
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Symbol: ≫
Symbol Name: much greater than
Meaning / definition: much greater than
Example: 1000000 ≫ 1
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Symbol: ( )
Symbol Name: parentheses
Meaning / definition: calculate expression inside first
Example: 2 * (3+5) = 16
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Symbol: [ ]
Symbol Name: brackets
Meaning / definition: calculate expression inside first
Example: [(1+2)*(1+5)] = 18
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Symbol: ⌊x⌋
Symbol Name: floor brackets
Meaning / definition: rounds number to lower integer
Example: ⌊4.3⌋ = 4
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Symbol: ⌈x⌉
Symbol Name: ceiling brackets
Meaning / definition: rounds number to upper integer
Example: ⌈4.3⌉ = 5
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Symbol: x!
Symbol Name: exclamation mark
Meaning / definition: factorial
Example: 4! = 1*2*3*4 = 24
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Symbol: │ x │
Symbol Name: vertical bars
Meaning / definition: absolute value
Example: │ -5 │ = 5
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Symbol: f (x)
Symbol Name: function of x
Meaning / definition: maps values of x to f(x)
Example: f (x) = 3x+5
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Symbol: (f ∘ g)
Symbol Name: function composition
Meaning / definition: (f ∘ g) (x) = f (g(x))
Example: f (x)=3x,g(x)=x-1 ⇒(f ∘ g)(x)=3(x-1)
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Symbol: (a,b)
Symbol Name: open interval
Meaning / definition: (a,b) = {x │ a < x < b}
Example: x∈ (2,6)
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