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  2. Identity (mathematics) - Wikipedia

    en.wikipedia.org/wiki/Identity_(mathematics)

    Visual proof of the Pythagorean identity: for any angle , the point (,) = (⁡, ⁡) lies on the unit circle, which satisfies the equation + =.Thus, ⁡ + ⁡ =. In mathematics, an identity is an equality relating one mathematical expression A to another mathematical expression B, such that A and B (which might contain some variables) produce the same value for all values of the variables ...

  3. Identity function - Wikipedia

    en.wikipedia.org/wiki/Identity_function

    In mathematics, an identity function, also called an identity relation, identity map or identity transformation, is a function that always returns the value that was used as its argument, unchanged. That is, when f is the identity function, the equality f(x) = x is true for all values of x to which f can be applied.

  4. Equality (mathematics) - Wikipedia

    en.wikipedia.org/wiki/Equality_(mathematics)

    In mathematics, equality is a ... this equation is called the equation of the unit circle. ... Stating that each thing is identical with itself, without restriction.

  5. Euler's identity - Wikipedia

    en.wikipedia.org/wiki/Euler's_identity

    In another poll of readers that was conducted by Physics World in 2004, Euler's identity tied with Maxwell's equations (of electromagnetism) as the "greatest equation ever". [12] At least three books in popular mathematics have been published about Euler's identity: Dr. Euler's Fabulous Formula: Cures Many Mathematical Ills, by Paul Nahin (2011 ...

  6. Triple bar - Wikipedia

    en.wikipedia.org/wiki/Triple_bar

    The closely related code point U+2262 ≢ NOT IDENTICAL TO (≢, ≢) is the same symbol with a slash through it, indicating the negation of its mathematical meaning. [ 1 ] In LaTeX mathematical formulas, the code \equiv produces the triple bar symbol and \not\equiv produces the negated triple bar symbol ≢ {\displaystyle \not ...

  7. Difference of two squares - Wikipedia

    en.wikipedia.org/wiki/Difference_of_two_squares

    In mathematics, the difference of two squares is a squared (multiplied by itself) number subtracted from another squared number. Every difference of squares may be factored according to the identity a 2 − b 2 = ( a + b ) ( a − b ) {\displaystyle a^{2}-b^{2}=(a+b)(a-b)}

  8. Top 10 moments on 'The View' in 2024: Kamala Harris bungles ...

    www.aol.com/top-10-moments-view-2024-100016348.html

    Kamala Harris' Bungled Answer On ‘The View’ About Biden Seen As Turning Point For Campaign. During a live interview on the show in October, co-host Sunny Hostin asked the vice president if ...

  9. Euler's formula - Wikipedia

    en.wikipedia.org/wiki/Euler's_formula

    Euler's formula is ubiquitous in mathematics, physics, chemistry, and engineering. The physicist Richard Feynman called the equation "our jewel" and "the most remarkable formula in mathematics". [2] When x = π, Euler's formula may be rewritten as e iπ + 1 = 0 or e iπ = −1, which is known as Euler's identity.

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