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Longer titles found: Irrational number (view)

searching for Rational number 124 found (443 total)

Approximation error (1,153 words) [view diff] exact match in snippet view article find links to article

absolute error from an input if, for every rational number ε>0, it is possible to compute a rational number vapprox that approximates v with absolute error

Prismatic compound of prisms (93 words) [view diff] exact match in snippet view article find links to article

enumerated as follows: For each positive integer n≥1 and for each rational number p/q>2 (expressed with p and q coprime), there occurs the compound of

Hilbert's eleventh problem (570 words) [view diff] exact match in snippet view article find links to article

theorem. The local-global principle says that a general result about a rational number or even all rational numbers can often be established by verifying

Norm form (173 words) [view diff] exact match in snippet view article find links to article

the Pell equation. For this application the field K is usually the rational number field, the field L is an algebraic number field, and the basis is taken

Sum of radicals (294 words) [view diff] exact match in snippet view article find links to article

sum of radicals is zero, or more generally whether it represents a rational number. Blömer's result applies more generally than the square-root sum problem

Prismatic uniform polyhedron (413 words) [view diff] exact match in snippet view article find links to article

odd. There are: prisms, for each rational number p/q > 2, with symmetry group Dph; antiprisms, for each rational number p/q > 3/2, with symmetry group Dpd

Prismatic compound of prisms with rotational freedom (122 words) [view diff] exact match in snippet view article find links to article

enumerated as follows: For each positive integer n>0 and for each rational number p/q>2 (expressed with p and q coprime), there occurs the compound of

Hodge index theorem (346 words) [view diff] exact match in snippet view article find links to article

abelian group, and the result is about its tensor product with the rational number field. Therefore, ρ(V) is equally the rank of the Néron-Severi group

Positive-real function (1,012 words) [view diff] no match in snippet view article find links to article

sense means that the impedance can be constructed from a finite (hence rational) number of discrete ideal passive linear elements (resistors, inductors and

Prismatic compound of antiprisms with rotational freedom (147 words) [view diff] exact match in snippet view article find links to article

enumerated as follows: For each positive integer n>0 and for each rational number p/q>3/2 (expressed with p and q coprime), there occurs the compound

List of things named after James Joseph Sylvester (517 words) [view diff] exact match in snippet view article find links to article

probability. The Sylvester expansion or Fibonacci–Sylvester expansion of a rational number, a representation as a sum of unit fractions found by a greedy algorithm

Stable vector bundle (1,887 words) [view diff] exact match in snippet view article find links to article

over a nonsingular algebraic curve (or over a Riemann surface) is a rational number μ(W) = deg(W)/rank(W). A bundle W is stable if and only if μ ( V )

Slam-dunk (272 words) [view diff] exact match in snippet view article find links to article

meridian. Suppose K has integer coefficient n and J has coefficient a rational number r. Then we can obtain a new diagram by deleting J and changing the

Robust geometric computation (385 words) [view diff] exact match in snippet view article find links to article

of a calculation is an algebraic number rather than an integer or rational number), a second method is to use symbolic algebra to perform all computations

Chow group of a stack (1,446 words) [view diff] exact match in snippet view article find links to article

the degree of a 0-cycle on a stack need not be an integer but is a rational number (due to non-trivial stabilizers). Angelo Vistoli (1989) develops the

2-bridge knot (308 words) [view diff] exact match in snippet view article find links to article

between the set of 2-bridge links and the set of rational numbers; the rational number associated to a given link is called the Schubert normal form of the

Yvonne Pothier (331 words) [view diff] case mismatch in snippet view article find links to article

University of Alberta; her dissertation, Partitioning: Construction of Rational Number in Young Children, was supervised by Daiyo Sawada. She published a

Shannon–Fano–Elias coding (862 words) [view diff] exact match in snippet view article find links to article

binary prefix code, allowing for direct decoding. Let bcode(x) be the rational number formed by adding a decimal point before a binary code. For example

Proof by contradiction (2,529 words) [view diff] exact match in snippet view article find links to article

proposition "there is no smallest positive rational number": assume there is a smallest positive rational number q and derive a contradiction by observing

Constantin Climescu (339 words) [view diff] no match in snippet view article find links to article

several textbooks that were widely used at the time, on algebra (1887), rational-number arithmetic (1890), elementary geometry (1891) and analytic geometry

Birch and Swinnerton-Dyer conjecture (3,131 words) [view diff] exact match in snippet view article find links to article

positive rational number d can be written in the form d = s2(t3 – 91t – 182) for s and t in Q {\displaystyle \mathbb {Q} } . For every rational number t, the

Pseudo-order (1,039 words) [view diff] exact match in snippet view article find links to article

construct) a rational number greater than the former and less than the latter. In other words, here x < y holds if there exists a rational number z such that

Ellipsoid method (3,705 words) [view diff] exact match in snippet view article find links to article

always through the center of the current ellipsoid. The input is a rational number ε>0, a convex body K given by a weak separation oracle, and a number

Quasi-continuous function (436 words) [view diff] exact match in snippet view article find links to article

( x ) = 0 {\displaystyle g(x)=0} whenever x {\displaystyle x} is a rational number and g ( x ) = 1 {\displaystyle g(x)=1} whenever x {\displaystyle x}

Dirichlet's approximation theorem (1,155 words) [view diff] exact match in snippet view article find links to article

Adrien-Marie Legendre derives a necessary and sufficient condition for a rational number to be a convergent of the simple continued fraction of a given real

Wolfgang M. Schmidt (325 words) [view diff] exact match in snippet view article find links to article

number in base r is normal in base s if and only if log r / log s is a rational number. He also proved the existence of T numbers. His series of papers on

Least common multiple (2,553 words) [view diff] exact match in snippet view article find links to article

{\displaystyle \gcd(a,b)\operatorname {lcm} (a,b)=ab.} In fact, every rational number can be written uniquely as the product of primes, if negative exponents

Lower limit topology (818 words) [view diff] exact match in snippet view article find links to article

This is true for all x ∈ C {\displaystyle x\in C} . Now choose a rational number q ( x ) ∈ ( a ( x ) , x ] ∩ Q {\displaystyle q(x)\in (a(x),x]\cap \mathbb

Trochoid (1,029 words) [view diff] exact match in snippet view article find links to article

motions, ω 1 / ω 2 {\displaystyle \omega _{1}/\omega _{2}} , is a rational number, say p / q {\displaystyle p/q} , where p {\displaystyle p} & q {\displaystyle

Atiyah–Singer index theorem (7,553 words) [view diff] exact match in snippet view article find links to article

least obviously an integer. The topological index is by definition a rational number, but it is usually not at all obvious from the definition that it is

Feedback with Carry Shift Registers (1,077 words) [view diff] exact match in snippet view article find links to article

integer u {\displaystyle u} so that a = u / q {\displaystyle a=u/q} , a rational number. The output sequence is strictly periodic if and only if u {\displaystyle

Well-order (1,900 words) [view diff] exact match in snippet view article find links to article

nonempty and disjoint intervals. Each such interval contains at least one rational number, so there is an injective function from A to ⁠ Q . {\displaystyle \mathbb

Continuous function (9,555 words) [view diff] exact match in snippet view article find links to article

f ( x ) = { 1 if x = 0 1 q if x = p q (in lowest terms) is a rational number 0 if x is irrational . {\displaystyle f(x)={\begin{cases}1&{\text{

Catalan's conjecture (946 words) [view diff] case mismatch in snippet view article find links to article

vol. 294, pp. 1–26 Mihăilescu 2005 Narkiewicz, Wladyslaw (2011), Rational Number Theory in the 20th Century: From PNT to FLT, Springer Monographs in

Computational complexity of mathematical operations (1,576 words) [view diff] exact match in snippet view article find links to article

{\displaystyle O{\mathord {\left(M(n)n^{1/2}(\log n)^{2}\right)}}} Fixed rational number Hypergeometric series O ( M ( n ) ( log ⁡ n ) 2 ) {\displaystyle O{\mathord

Sample-rate conversion (990 words) [view diff] exact match in snippet view article find links to article

ratio of the two sample rates is (or can be approximated by) a fixed rational number L/M: generate an intermediate signal by inserting L − 1 zeros between

Risch algorithm (1,884 words) [view diff] exact match in snippet view article find links to article

and ℚ(y), i.e., rational numbers and rational functions in y with rational-number coefficients, respectively, where y is an indeterminate that does not

SP-DEVS (2,376 words) [view diff] exact match in snippet view article find links to article

sets and state set, the lifespan of a state can be scheduled by a rational number or infinity, and preserving the internal schedule from any external

Special values of L-functions (573 words) [view diff] exact match in snippet view article find links to article

divided by number of roots of unity) by some algebraic construction of a rational number that will represent the ratio of the L-function value to the "transcendental"

Tree spanner (472 words) [view diff] exact match in snippet view article find links to article

{\displaystyle {\mathcal {O}}(mn+n^{2}\log(n))} time. For any fixed rational number t > 1 {\displaystyle t>1} , it is NP-complete to determine whether

Tijdeman's theorem (490 words) [view diff] case mismatch in snippet view article find links to article

from the truth of the abc conjecture. Narkiewicz, Wladyslaw (2011), Rational Number Theory in the 20th Century: From PNT to FLT, Springer Monographs in

Mean opinion score (1,368 words) [view diff] exact match in snippet view article find links to article

talking, or video quality tests. The MOS is expressed as a single rational number, typically in the range 1–5, where 1 is lowest perceived quality, and

Cyclotomic unit (364 words) [view diff] exact match in snippet view article find links to article

general. The cyclotomic units satisfy distribution relations. Let a be a rational number prime to p and let ga denote exp(2πia) − 1. Then for a ≠ 0 we have

Aronszajn tree (971 words) [view diff] exact match in snippet view article find links to article

of all points of level less than α. For each x in Tα and for each rational number q greater than sup x, choose a level α branch of Tα containing x with

Dehn plane (641 words) [view diff] exact match in snippet view article find links to article

perpendicular is infinitesimal (meaning smaller than any positive rational number), the intersecting lines intersect at a point that is not in the finite

Euler product (2,226 words) [view diff] exact match in snippet view article find links to article

πs, then for even exponents, this infinite product evaluates to a rational number. For example, since ζ(2) = ⁠π2/6⁠, ζ(4) = ⁠π4/90⁠, and ζ(8) = ⁠π8/9450⁠

Binomial distribution (7,554 words) [view diff] exact match in snippet view article find links to article

− p} (except for the case when p = 1/2 and n is odd). When p is a rational number (with the exception of p = 1/2\ and n odd) the median is unique. When

Robert Tijdeman (480 words) [view diff] case mismatch in snippet view article find links to article

4064/aa-29-2-197-209, Zbl 0286.10013 Narkiewicz, Wladyslaw (2011), Rational Number Theory in the 20th Century: From PNT to FLT, Springer Monographs in

Ultraproduct (3,108 words) [view diff] exact match in snippet view article find links to article

reals, and let R x {\displaystyle Rx} hold if x {\displaystyle x} is a rational number. Then in M {\displaystyle M} we can say that for any pair of rationals

Amalthea (moon) (2,666 words) [view diff] exact match in snippet view article

mean-motion resonance the ratio of orbital periods of two bodies is a rational number like m:n). Amalthea's orbit lies near the outer edge of the Amalthea

Archimedean property (2,387 words) [view diff] exact match in snippet view article find links to article

x {\displaystyle x} is infinitesimal and r {\displaystyle r} is a rational number, then r x {\displaystyle rx} is also infinitesimal. As a result, given

Grothendieck–Katz p-curvature conjecture (839 words) [view diff] exact match in snippet view article find links to article

larger system, the essential case is for rational functions in A and rational number coefficients. Then a necessary condition is that for almost all prime

Stirling's approximation (4,760 words) [view diff] no match in snippet view article find links to article

{constant}}]\cdot n^{n+{\frac {1}{2}}}e^{-n}.} De Moivre gave an approximate rational-number expression for the natural logarithm of the constant. Stirling's contribution

Prismatic compound of antiprisms (308 words) [view diff] exact match in snippet view article find links to article

enumerated as follows: For each positive integer n≥1 and for each rational number p/q>3/2 (expressed with p and q coprime), there occurs the compound

Évariste Galois (4,826 words) [view diff] exact match in snippet view article find links to article

Galois a result already known to Lagrange can be deduced. If r > 1 is a rational number that is not a perfect square, then r = [ a 0 ; a 1 , a 2 , … , a 2

PP (complexity) (2,345 words) [view diff] exact match in snippet view article

to" (see below), and the threshold 1/2 can be replaced by any fixed rational number in (0,1), without changing the class. BPP is a subset of PP; it can

Weibull distribution (5,823 words) [view diff] exact match in snippet view article find links to article

}}\right)^{k-1}e^{-(x/\lambda )^{k}}\,dx.} If the parameter k is assumed to be a rational number, expressed as k = p/q where p and q are integers, then this integral

Artin–Hasse exponential (1,067 words) [view diff] exact match in snippet view article find links to article

exponent -μ(n)/n for n not divisible by p is a p-integral, and when a rational number a is p-integral all coefficients in the binomial expansion of (1 -

Ganymede (moon) (10,699 words) [view diff] exact match in snippet view article

Europa–Ganymede conjunctions change with rates whose ratio is a non-unity rational number. If the ratio is unity, then the resonance is the Laplace resonance

Regular chain (1,413 words) [view diff] exact match in snippet view article find links to article

components. These generic points are given by regular chains. Denote Q the rational number field. In Q[x1, x2, x3] with variable ordering x1 < x2 < x3, T = {

Relational operator (2,852 words) [view diff] exact match in snippet view article find links to article

behavior. For example, 1/2 and 2/4 are considered equal when seen as a rational number. A possible requirement would be that "A = B if and only if all operations

F-crystal (864 words) [view diff] exact match in snippet view article find links to article

the form v, Fv, F2v,...,Fr−1v for some element v, and Frv = psv. The rational number s/r is called the slope of the F-isocrystal. Over a non-algebraically

Thin set (Serre) (1,021 words) [view diff] exact match in snippet view article

over K is Hilbertian, so this may be taken as the definition. The rational number field Q is Hilbertian, because Hilbert's irreducibility theorem has

Tangent half-angle formula (2,182 words) [view diff] exact match in snippet view article find links to article

positive angles sum to 180° then the third angle will necessarily have a rational number for its half-angle tangent when the first two do (using angle addition

Transposable integer (2,886 words) [view diff] exact match in snippet view article find links to article

the following reason: Every repeating decimal can be expressed as a rational number (fraction). Every integer, when added with a decimal point in front

Riemann integral (5,480 words) [view diff] exact match in snippet view article find links to article

integral equal to one: Every endpoint of every subinterval will be a rational number, so the function will always be evaluated at rational numbers, and

Möbius strip (9,622 words) [view diff] exact match in snippet view article find links to article

C ∞ {\displaystyle C^{\infty }} ) embeddings. 12/7 is the simplest rational number in the range of aspect ratios, between 1.695 and 1.73, for which the

Arithmetic coding (5,380 words) [view diff] exact match in snippet view article find links to article

efficient solution is to represent a sequence of these three symbols as a rational number in base 3 where each digit represents a symbol. For example, the sequence

Richard Lesh (205 words) [view diff] case mismatch in snippet view article find links to article

Eric; Kaput, James J. (2007). Foundations for the Future in Mathematics Education. Indiana University Learning Sciences Program Rational Number Project

Vinogradov's theorem (1,128 words) [view diff] exact match in snippet view article find links to article

_{0}^{1}S(\alpha )^{3}e(-\alpha N)\;d\alpha } . If α {\displaystyle \alpha } is a rational number p q {\displaystyle {\frac {p}{q}}} , then S ( α ) {\displaystyle S(\alpha

Differential algebra (7,846 words) [view diff] exact match in snippet view article find links to article

{\displaystyle (\mathbb {Q} .\delta )} , and every rational number is a constant. Every rational number is a quotient of integers. ∀ r ∈ Q , ∃ a ∈ Z

Waring's problem (3,102 words) [view diff] exact match in snippet view article find links to article

Mahler, Kurt (1957). "On the fractional parts of the powers of a rational number II". Mathematika. 4 (2): 122–124. doi:10.1112/s0025579300001170. MR 0093509

Multinomial distribution (6,412 words) [view diff] exact match in snippet view article find links to article

{\displaystyle {\hat {p}}_{1},{\hat {p}}_{2},...,{\hat {p}}_{k}} must be a rational number, whereas p 1 , p 2 , . . . , p k {\displaystyle p_{1},p_{2},...,p_{k}}

Toads and Frogs (972 words) [view diff] exact match in snippet view article find links to article

TFF=\{0|\star \}=\uparrow } In 1996, Jeff Erickson proved that for any dyadic rational number q (which are the only numbers that can arise in finite games), there

Elliptic curve (8,433 words) [view diff] exact match in snippet view article find links to article

|q|) if P (unequal to the point at infinity P0) has as abscissa the rational number x = p/q (with coprime p and q). This height function h has the property

Lp space (12,218 words) [view diff] exact match in snippet view article find links to article

The absolute value bars can be dropped when p {\displaystyle p} is a rational number with an even numerator in its reduced form, and x {\displaystyle x}

Orbital resonance (10,257 words) [view diff] exact match in snippet view article find links to article

a ratio, and more precisely the ratio of periods is not exactly a rational number, even averaged over a long period. For example, in the case of Pluto

Area of a circle (5,892 words) [view diff] exact match in snippet view article find links to article

Chongzhi, who named it Milü. This approximation is better than any other rational number with denominator less than 16,604. Snell proposed (and Huygens proved)

Young symmetrizer (1,577 words) [view diff] exact match in snippet view article find links to article

{\displaystyle c_{\lambda }^{2}=\alpha _{\lambda }c_{\lambda }} for some rational number α λ ∈ Q . {\displaystyle \alpha _{\lambda }\in \mathbb {Q} .} Specifically

Elliptic surface (1,883 words) [view diff] exact match in snippet view article find links to article

) ) {\displaystyle {\text{lct}}(X,f^{*}(p))} . This is an explicit rational number between 0 and 1, depending on the type of singular fiber. Explicitly

Poinsot's ellipsoid (2,094 words) [view diff] exact match in snippet view article find links to article

a cycle the body will have rotated by an amount that may not be a rational number of degrees, in which case the orientation will not be periodic, but

Greenberg's conjectures (992 words) [view diff] exact match in snippet view article find links to article

_{\ell }(k)=0} for any abelian extension k {\displaystyle k} of the rational number field Q {\displaystyle \mathbb {Q} } and any prime number ℓ {\displaystyle

Dejean's theorem (938 words) [view diff] exact match in snippet view article find links to article

{\displaystyle \ell } , and e {\displaystyle e} is a non-negative rational number of the form n / ℓ {\displaystyle n/\ell } , then s e {\displaystyle

Desire (9,644 words) [view diff] exact match in snippet view article find links to article

change, for example, a mathematician's desire that the number Pi be a rational number. In some extreme cases, such desires may be very common, for example

N-body problem (8,724 words) [view diff] exact match in snippet view article find links to article

that is none of the ratios of unperturbed Kepler frequencies is a rational number. Resonances appear as small denominators in the expansion. The existence

Coil winding technology (9,797 words) [view diff] exact match in snippet view article find links to article

fractional rational number, it is referred to as fractional slot winding. When it comes to single tooth winding, q < 1 and thus always a fractional rational number

Educational video game (9,169 words) [view diff] exact match in snippet view article find links to article

the game Semideus to see if it could help to improve performance on rational number tasks, the understanding of whole numbers and mathematical thinking

Circle packing theorem (3,861 words) [view diff] exact match in snippet view article find links to article

6-regular planar graphs Ford circles, a packing of circles along the rational number line Penny graph, the coin graphs whose circles all have equal radii

Fisher–Yates shuffle (5,048 words) [view diff] exact match in snippet view article find links to article

distribution, because every execution path will have as probability a rational number with as denominator a power of 2, while the required probability 1/n

Hurwitz zeta function (4,190 words) [view diff] exact match in snippet view article find links to article

and then expanding the numerator as a Fourier series. When a is a rational number, Hurwitz's formula leads to the following functional equation: For

Stanley sequence (1,140 words) [view diff] exact match in snippet view article find links to article

n^{\log _{2}3}} the constant factor in their growth rates can be any rational number whose denominator is a power of three. A variation of the binary–ternary

Dc (computer program) (2,644 words) [view diff] exact match in snippet view article

size each iteration. It evaluates a finite number if sums as an exact rational number and only performs one large division and square root per iteration

Wild number (913 words) [view diff] exact match in snippet view article find links to article

mathematician Floor van Lamoen. This sequence is defined as follows: For a rational number p/q let f ( p / q ) = p q sum of digits of p and q {\displaystyle

Rainbow matching (2,561 words) [view diff] exact match in snippet view article find links to article

their theorem to such hypergraphs as follows. Let n be any positive rational number. Any family of ⌈r⋅n⌉ fractional-matchings (=colors) of size at least

Kähler differential (4,377 words) [view diff] exact match in snippet view article find links to article

matrix is a complex number, well defined up to multiplication by a rational number. Such numbers are periods. In algebraic number theory, Kähler differentials

Algorithmic problems on convex sets (3,992 words) [view diff] exact match in snippet view article find links to article

is empty. Weak violation problem (WVIOL): given a vector c in Qn, a rational number t, and a rational ε>0, either - assert that cTx ≤ t + ε for all x in

Rhind Mathematical Papyrus (2,557 words) [view diff] exact match in snippet view article find links to article

representations of a given real number. However, since every positive rational number has infinitely many representations as an Egyptian fraction, these

Kinetic isotope effect (13,935 words) [view diff] exact match in snippet view article find links to article

ratio of the symmetry numbers for the various species. This will be a rational number (a ratio of integers) that depends on the number of molecular and bond

Secretary problem (6,861 words) [view diff] exact match in snippet view article find links to article

each a i ∼ n e − k i {\displaystyle a_{i}\sim ne^{-k_{i}}} , for some rational number k i {\displaystyle k_{i}} . When r = 2 {\displaystyle r=2} , the probability

Secretary problem (6,861 words) [view diff] exact match in snippet view article find links to article

each a i ∼ n e − k i {\displaystyle a_{i}\sim ne^{-k_{i}}} , for some rational number k i {\displaystyle k_{i}} . When r = 2 {\displaystyle r=2} , the probability

List of publications in mathematics (10,413 words) [view diff] exact match in snippet view article find links to article

and partitions of integers. In this work, Euler proved that every rational number can be written as a finite continued fraction, that the continued fraction

Separation oracle (1,626 words) [view diff] exact match in snippet view article find links to article

separation oracle for K is an oracle that, given a vector y in Qn and a rational number d>0, returns one of the following::: 51 Assert that y is d-near K;

Group cohomology (9,835 words) [view diff] exact match in snippet view article find links to article

unity, and [ a b ] {\displaystyle \left[{\frac {a}{b}}\right]} for a rational number a / b {\displaystyle a/b} denoting the largest integer not greater

Dieudonné module (1,548 words) [view diff] exact match in snippet view article find links to article

{\displaystyle v} , and F r v = p s v {\displaystyle F^{r}v=p^{s}v} . The rational number s / r {\displaystyle s/r} is called the slope of the module. If G {\displaystyle

Strongly proportional division (1,757 words) [view diff] exact match in snippet view article find links to article

will give slightly more to Alice and slightly less to Bob. Find a rational number between bx and ax, say p/q such that bx > p/q > ax. This implies by

Erdős–Straus conjecture (4,735 words) [view diff] exact match in snippet view article find links to article

fractions with numerator 5 or larger have also been studied. When a rational number is expanded into a sum of unit fractions, the expansion is called an

K-stability (8,333 words) [view diff] exact match in snippet view article find links to article

configuration ( X , L ) {\displaystyle ({\mathcal {X}},{\mathcal {L}})} is the rational number DF ⁡ ( X , L ) = b 0 a 1 − b 1 a 0 a 0 2 . {\displaystyle \operatorname

Leon Henkin (10,305 words) [view diff] exact match in snippet view article find links to article

These films dealt with topics such as the integer system and the rational number system. He also participated in support courses for female calculus

Kobayashi–Hitchin correspondence (4,434 words) [view diff] exact match in snippet view article find links to article

class of E {\displaystyle E} . The slope of E {\displaystyle E} is the rational number μ ( E ) {\displaystyle \mu (E)} defined by μ ( E ) := d e g ( E ) r

Serial presence detect (3,083 words) [view diff] exact match in snippet view article find links to article

Most importantly, it contains a "medium timebase" value MTB, as a rational number of nanoseconds (common values are 1/8, 1/12 and 1/16 ns). Many other

Hajime Tanabe (8,722 words) [view diff] exact match in snippet view article find links to article

Infinity [無限]; Irrational number [無理数]; Euclidean geometry [ユークリッド幾何学]; Rational number [有理数]; Dynamics/Mechanics [力学]; Riemann-Helmholtz geometry [リーマン・ヘルムホルツ幾何学];

Denotational semantics of the Actor model (3,346 words) [view diff] exact match in snippet view article find links to article

satisfies the following conditions: The delivery time is a positive rational number that is not the same as the delivery time of any other message. The

Conditioning (probability) (6,865 words) [view diff] exact match in snippet view article

random variable distributed uniformly on (0,1), and B the event "X is a rational number"; what about P ( X = 1/n | B ) ? The only answer is that, once again

Formulas for generating Pythagorean triples (4,495 words) [view diff] exact match in snippet view article find links to article

can be reconstructed from a half-angle tangent. Choose r, a positive rational number in (0, 1), to be tan A/2 for the interior angle A that is opposite

Translation surface (4,595 words) [view diff] exact match in snippet view article find links to article

Vol(\alpha )} should be of the form π 2 g {\displaystyle \pi ^{2g}} times a rational number. From this observation they expected the existence of a formula expressing

Maass wave form (8,499 words) [view diff] exact match in snippet view article find links to article

cusp forms on GL(n) as spherical automorphic forms on GL(n) over the rational number field. Their existence is proved by Miller, Mueller, etc. Let R {\displaystyle

Nonabelian Hodge correspondence (5,131 words) [view diff] exact match in snippet view article find links to article

{\deg(E)}{\operatorname {rank} (E)}}\quad {\text{(resp. }}\leq {\text{)}}.} This rational number is called the slope, denoted μ ( E ) {\displaystyle \mu (E)} , and

Cliquish function (464 words) [view diff] exact match in snippet view article find links to article

( x ) = 0 {\displaystyle g(x)=0} whenever x {\displaystyle x} is a rational number and g ( x ) = 1 {\displaystyle g(x)=1} whenever x {\displaystyle x}

Adele ring (18,442 words) [view diff] exact match in snippet view article find links to article

of a neighbourhood of 0 {\displaystyle 0} which contains no other rational number. The general case follows via translation. Define U := { ( α p ) p

Finite & Deterministic Discrete Event System Specification (2,943 words) [view diff] exact match in snippet view article find links to article

sets and state set, the lifespan of a state can be scheduled by a rational number or infinity, and the internal schedule can be either preserved or updated

Clausen function (6,482 words) [view diff] exact match in snippet view article find links to article

be positive integers, such that q / p {\displaystyle \,q/p\,} is a rational number 0 < q / p < 1 {\displaystyle \,0<q/p<1\,} , then, by the series definition

Law of rational indices (1,149 words) [view diff] exact match in snippet view article find links to article

'rise-to-run' ratio of the stepped faces of the crystal was a simple rational number p/q, where p and q are small multiples of units of length (generally

Nome (mathematics) (13,956 words) [view diff] exact match in snippet view article

power of a nome of a positive algebraic number as base and a positive rational number as exponent is equal to a nome value of a positive algebraic number:

Codenominator function (4,407 words) [view diff] exact match in snippet view article find links to article

( x ) . {\displaystyle F(1-x)=F(x).} 4. Continued fractions: For a rational number x {\displaystyle x} expressed as a simple continued fraction [ n 0