| 1.Logic
|
| |
| ∃
|
| there exist |
| ∀
|
| for all |
| p⇒q
|
| p implies q / if p, then q |
| p⇔q
|
| p if and only if q /p is equivalent to q / p and q are equivalent |
| 2.Sets
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| |
| x∈A
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| x belongs to A / x is an element (or a member) of A |
| x∉A
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| x does not belong to A / x is not an element (or a member) of A |
| A⊂B
|
| A is contained in B / A is a subset of B |
| A⊃B
|
| A contains B / B is a subset of A |
| A∩B
|
| A cap B / A meet B / A intersection B |
| A∪B
|
| A cup B / A join B / A union B |
| A\B
|
| A minus B / the diference between A and B |
| A×B
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| A cross B / the cartesian product of A and B |
| 3. Real numbers
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| |
| x+1
|
| x plus one |
| x-1
|
| x minus one |
| x±1
|
| x plus or minus one |
| xy
|
| xy / x multiplied by y |
|
|
| |
| (x - y)(x + y)
|
| x minus y, x plus y |
|
|
| |
| x y
|
| x over y |
| =
|
| the equals sign |
| x = 5
|
| x equals 5 / x is equal to 5 |
| x≠5
|
| x (is) not equal to 5 |
| x≡y
|
| x is equivalent to (or identical with) y |
| x ≡ y
|
| x is not equivalent to (or identical with) y |
| x > y
|
| x is greater than y |
| x≥y
|
| x is greater than or equal to y |
| x < y
|
| x is less than y |
| x≤y
|
| x is less than or equal to y |
| 0 < x < 1
|
| zero is less than x is less than 1 |
| 0≤x≤1
|
| zero is less than or equal to x is less than or equal to 1 |
| | x |
|
| mod x / modulus x |
| x 2
|
| x squared / x (raised) to the power 2 |
| x 3
|
| x cubed |
| x 4
|
| x to the fourth / x to the power four |
| x n
|
| x to the nth / x to the power n |
| x −n
|
| x to the (power) minus n |
| x
|
| (square) root x / the square root of x |
| x 3
|
| cube root (of) x |
| x 4
|
| fourth root (of) x |
| x n
|
| nth root (of) x |
| ( x+y ) 2
|
| x plus y all squared |
| ( x y ) 2
|
| x over y all squared |
| n!
|
| n factorial |
| x ^
|
| x hat |
| x ¯
|
| x bar |
| x ˜
|
| x tilde |
| x i
|
| xi / x subscript i / x suffix i / x sub i |
| ∑ i=1 n a i
|
| the sum from i equals one to n a i / the sum as i runs from 1 to n of the a i |
| 4. Linear algebra
|
| |
| ‖ x ‖
|
| the norm (or modulus) of x |
| OA →
|
| OA / vector OA |
| OA ¯
|
| OA / the length of the segment OA |
| A T
|
| A transpose / the transpose of A |
| A −1
|
| A inverse / the inverse of A |
| 5. Functions
|
| |
| f( x )
|
| fx / f of x / the function f of x |
| f:S→T
|
| a function f from S to T |
| x→y
|
| x maps to y / x is sent (or mapped) to y |
| f'( x )
|
| f prime x / f dash x / the (first) derivative of f with respect to x |
| f''( x )
|
| f double-prime x / f double-dash x / the second derivative of f with respect to x |
| f'''( x )
|
| triple-prime x / f triple-dash x / the third derivative of f with respect to x |
| f (4) ( x )
|
| f four x / the fourth derivative of f with respect to x |
| ∂f ∂ x 1
|
| the partial (derivative) of f with respect to x1 |
| ∂ 2 f ∂ x 1 2
|
| the second partial (derivative) of f with respect to x1 |
| ∫ 0 ∞
|
| the integral from zero to infinity |
| lim x→0
|
| the limit as x approaches zero |
| lim x→ 0 +
|
| the limit as x approaches zero from above |
| lim x→ 0 −
|
| the limit as x approaches zero from below |
| log e y
|
| log y to the base e / log to the base e of y / natural log (of) y |
| lny
|
| log y to the base e / log to the base e of y / natural log (of) y |
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