- geometric proof
- мат. геометрическое доказательство
Большой англо-русский и русско-английский словарь. 2001.
geometric proof
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Geometric progression — In mathematics, a geometric progression, also known as a geometric sequence, is a sequence of numbers where each term after the first is found by multiplying the previous one by a fixed non zero number called the common ratio . For example, the… … Wikipedia
Geometric series — In mathematics, a geometric series is a series with a constant ratio between successive terms. For example, the series:frac{1}{2} ,+, frac{1}{4} ,+, frac{1}{8} ,+, frac{1}{16} ,+, cdotsis geometric, because each term is equal to half of the… … Wikipedia
Geometric measure theory — In mathematics, geometric measure theory (GMT) is the study of the geometric properties of the measures of sets (typically in Euclidean spaces), including such things as arc lengths and areas. It has applications in image processing.Deep results… … Wikipedia
Geometric distribution — Probability distribution two name =Geometric type =mass pdf cdf | parameters =0< p leq 1 success probability (real) support =k in {1,2,3,dots}! pdf =(1 p)^{k 1},p! cdf =1 (1 p)^k! mean =frac{1}{p}! median =leftlceil frac{ log(2)}{log(1 p)} ight… … Wikipedia
Geometric flow — In mathematics, specifically differential geometry, a geometric flow is the gradient flow associated to a functional on a manifold which has a geometric interpretation, usually associated with some extrinsic or intrinsic curvature. They can be… … Wikipedia
Proof that the sum of the reciprocals of the primes diverges — In the third century BC, Euclid proved the existence of infinitely many prime numbers. In the 18th century, Leonhard Euler proved a stronger statement: the sum of the reciprocals of all prime numbers diverges. Here, we present a number of proofs… … Wikipedia
Proof that e is irrational — In mathematics, the series representation of Euler s number e : e = sum {n = 0}^{infty} frac{1}{n!}!can be used to prove that e is irrational. Of the many representations of e, this is the Taylor series for the exponential function e y evaluated… … Wikipedia
Proof of the Euler product formula for the Riemann zeta function — We will prove that the following formula holds::egin{align} zeta(s) = 1+frac{1}{2^s}+frac{1}{3^s}+frac{1}{4^s}+frac{1}{5^s}+ cdots = prod {p} frac{1}{1 p^{ s end{align}where zeta; denotes the Riemann zeta function and the product extends over… … Wikipedia
Proof that holomorphic functions are analytic — In complex analysis, a field of mathematics, a complex valued function f of a complex variable z *is holomorphic at a point a iff it is differentiable at every point within some open disk centered at a , and* is analytic at a if in some open disk … Wikipedia
Inequality of arithmetic and geometric means — In mathematics, the inequality of arithmetic and geometric means, or more briefly the AM GM inequality, states that the arithmetic mean of a list of non negative real numbers is greater than or equal to the geometric mean of the same list; and… … Wikipedia
Invalid proof — In mathematics, there are a variety of spurious proofs of obvious contradictions. Although the proofs are flawed, the errors, usually by design, are comparatively subtle. These fallacies are normally regarded as mere curiosities, but can be used… … Wikipedia
