In mathematics, Niven's theorem, named after Ivan Niven, states that the only rational values of θ in the interval 0° ≤ θ ≤ 90° for which the sine of...

{\displaystyle \pi } is irrational in 1947. Niven numbers, Niven's constant, and Niven's theorem are named for Niven. He has an Erdős number of 1 because he...

Gaussian rational Naive height—height of a rational number in lowest term Niven's theorem Rational data type Divine Proportions: Rational Trigonometry to Universal...

Nielsen–Schreier theorem (free groups) Niven's theorem (number theory) No-broadcasting theorem (quantum information theory) No-cloning theorem (quantum computation)...

The Eilenberg–Niven theorem is a theorem that generalizes the fundamental theorem of algebra to quaternionic polynomials, that is, polynomials with quaternion...

Isaac Newton Niven's theorem Mathematics Ivan Niven Noether's theorem Theoretical physics Emmy Noether Nyquist–Shannon sampling theorem Information theory...

that cannot all be rational numbers of degrees. (This follows from Niven's theorem.) They are most useful in that they may be easily remembered and any...

The fundamental theorem of algebra, also called d'Alembert's theorem or the d'Alembert–Gauss theorem, states that every non-constant single-variable polynomial...

business 12513 Niven, an asteroid Harshad numbers, also called Niven numbers Niven's constant, a mathematical constant Niven's theorem Niven's laws, named...

The real part of any root of unity is a trigonometric number. By Niven's theorem, the only rational trigonometric numbers are 0, 1, −1, 1/2, and −1/2...

1016/0040-9383(62)90093-9, ISSN 0040-9383 Eilenberg, Samuel; Niven, Ivan (1944). "The "fundamental theorem of algebra" for quaternions". Bulletin of the American...

Pythagorean triangle can be a rational number of degrees. (This follows from Niven's theorem.) In addition, special Pythagorean triples with certain additional...

integer sides imply three rational cosines by the law of cosines, and by Niven's theorem a rational cosine coincides with a rational angle if and only if the...

In mathematics, the Gelfond–Schneider theorem establishes the transcendence of a large class of numbers. It was originally proved independently in 1934...

mechanics, the equipartition theorem relates the temperature of a system to its average energies. The equipartition theorem is also known as the law of...

In number theory, Hurwitz's theorem, named after Adolf Hurwitz, gives a bound on a Diophantine approximation. The theorem states that for every irrational...

1988, p. 47 Niven & Zuckerman 1966, p. 22, Theorem 2.3(b) Niven & Zuckerman 1966, p. 6, Theorem 1.8 Niven & Zuckerman 1966, p.7, Theorem 1.10 Rosen 1992...

Lagrange's four-square theorem, also known as Bachet's conjecture, states that every nonnegative integer can be represented as a sum of four non-negative...

Routh's theorem determines the ratio of areas between a given triangle and a triangle formed by the pairwise intersections of three cevians. The theorem states...

whom it is named. Its affirmative answer, known as the Hilbert–Waring theorem, was provided by Hilbert in 1909. Waring's problem has its own Mathematics...

Bust Niven's constant See list of algebraic number theory topics Unimodular lattice Fermat's theorem on sums of two squares Proofs of Fermat's theorem on...

circular band in Larry Niven's 1970 novel Ringworld, a half sphere in the 2012 novel Bowl of Heaven by Gregory Benford and Niven, and nested spheres –...

In mathematics, a harshad number (or Niven number) in a given number base is an integer that is divisible by the sum of its digits when written in that...

 161ff) Hardy & Wright 1972, p. 160, 2008:205. Niven 1956, Theorem 7.5.. Niven 1956, Corollary 7.3.. Niven 1956, p. 92. Artin, Michael (1991), Algebra,...

{\displaystyle n} raised to some power. This is a consequence of the fundamental theorem of arithmetic. A number n {\displaystyle n} is said to be perfect if it...

principle, also known as the Novikov self-consistency conjecture and Larry Niven's law of conservation of history, is a principle developed by Russian physicist...

unconventional methods, cheerfully sitting by a river and "thinking of theorems". He published extensively, writing about such topics as recurring decimals...

geometry) Modularity theorem Moduli stack of elliptic curves Nagell–Lutz theorem Riemann–Hurwitz formula Wiles's proof of Fermat's Last Theorem Sarli, J. (2012)...

Scheinerman, Pickett & Coleman 2008. Foster 2015. Hardy & Wright 2008, Theorem 193. Niven, Zuckerman & Montgomery 1991. Sandifer 2006. Euler 1748. Bunder, Martin...

self-contained proof starting from the integral (as in Cartwright's, Bourbaki's or Niven's presentations), which Hermite could easily see (as he did in his proof...