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  1. In mathematics, the Fibonacci sequence is a sequence in which each number is the sum of the two preceding ones. Numbers that are part of the Fibonacci sequence are known as Fibonacci numbers, commonly denoted Fn . The sequence commonly starts from 0 and 1, although some authors start the sequence from 1 and 1 or sometimes (as did Fibonacci ...

  2. 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 eiπ + 1 = 0 or eiπ = −1, which is known as Euler's identity.

  3. In mathematics, hyperbolic functions are analogues of the ordinary trigonometric functions, but defined using the hyperbola rather than the circle. Just as the points (cos t, sin t) form a circle with a unit radius, the points (cosh t, sinh t) form the right half of the unit hyperbola.

  4. Viète. de Moivre. Euler. Fourier. v. t. e. In trigonometry, trigonometric identities are equalities that involve trigonometric functions and are true for every value of the occurring variables for which both sides of the equality are defined. Geometrically, these are identities involving certain functions of one or more angles.

  5. en.wikipedia.org › wiki › MathematicsMathematics - Wikipedia

    Mathematics is a field of study that discovers and organizes methods, theories and theorems that are developed and proved for the needs of empirical sciences and mathematics itself.

  6. In mathematics, the trigonometric functions (also called circular functions, angle functions or goniometric functions) [1][2] are real functions which relate an angle of a right-angled triangle to ratios of two side lengths.

  7. for k = 0, 1, 2, ..., n, where. is the binomial coefficient, hence the distribution's name. The formula can be understood as follows: pk qn-k is the probability of obtaining the sequence of n Bernoulli trials in which the first k trials are “successes“ and the remaining (last) n-k trials result in “failure“.

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