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  2. atan2 - Wikipedia

    en.wikipedia.org/wiki/Atan2

    atan2(y, x) returns the angle θ between the positive x-axis and the ray from the origin to the point (x, y), confined to (−π, π].Graph of ⁡ (,) over /. In computing and mathematics, the function atan2 is the 2-argument arctangent.

  3. Differentiation of trigonometric functions - Wikipedia

    en.wikipedia.org/wiki/Differentiation_of...

    The differentiation of trigonometric functions is the mathematical process of finding the derivative of a trigonometric function, or its rate of change with respect to a variable. For example, the derivative of the sine function is written sin ′ ( a ) = cos( a ), meaning that the rate of change of sin( x ) at a particular angle x = a is given ...

  4. Differentiable programming - Wikipedia

    en.wikipedia.org/wiki/Differentiable_programming

    Differentiable programming has found use in a wide variety of areas, particularly scientific computing and machine learning. [5] One of the early proposals to adopt such a framework in a systematic fashion to improve upon learning algorithms was made by the Advanced Concepts Team at the European Space Agency in early 2016. [6]

  5. Euler's formula - Wikipedia

    en.wikipedia.org/wiki/Euler's_formula

    r = | z | = √ x 2 + y 2 is the magnitude of z and; φ = arg z = atan2(y, x). φ is the argument of z, i.e., the angle between the x axis and the vector z measured counterclockwise in radians, which is defined up to addition of 2π. Many texts write φ = tan1 ⁠ y / x ⁠ instead of φ = atan2(y, x), but the first equation needs ...

  6. Cooper Flagg drops 18 points, throws down massive dunk in ...

    www.aol.com/sports/cooper-flagg-drops-18-points...

    The Cooper Flagg era in Durham is off and running. Flagg and No. 7 Duke cruised to a dominant 96-62 win over Maine on Monday night to officially tip off the 2024-25 men's college basketball season ...

  7. Proofs of trigonometric identities - Wikipedia

    en.wikipedia.org/wiki/Proofs_of_trigonometric...

    For the sine function, we can handle other values. If θ > π /2, then θ > 1. But sin θ ≤ 1 (because of the Pythagorean identity), so sin θ < θ. So we have ⁡ < <. For negative values of θ we have, by the symmetry of the sine function

  8. Chelsea rallies for a wild win at Tottenham but Arsenal ...

    www.aol.com/arsenal-scores-corner-again-held...

    In a wild London derby, Chelsea conceded twice in the opening 11 minutes before recovering brilliantly for a 4-3 win at Tottenham to move four points behind Liverpool on Sunday.

  9. Bill Belichick officially named North Carolina's new head ...

    www.aol.com/bill-belichick-finalizing-deal...

    Bill Belichick's return to coaching won't be on a NFL sideline.. The six-time Super Bowl-winning head coach was officially named the University of North Carolina's next head football coach pending ...