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Longer titles found: Arithmetic progression game (view), Arithmetic progression topologies (view), Primes in arithmetic progression (view), Generalized arithmetic progression (view), Dirichlet's theorem on arithmetic progressions (view), Problems involving arithmetic progressions (view), Roth's theorem on arithmetic progressions (view)

searching for Arithmetic progression 54 found (208 total)

alternate case: arithmetic progression

Fractal string (2,518 words) [view diff] exact match in snippet view article find links to article

powers of a fundamental length, the complex dimensions appear in an arithmetic progression parallel to the imaginary axis, and are called lattice fractal strings

Newton scale (580 words) [view diff] exact match in snippet view article find links to article

meteorological air temperatures), which he labels by two systems, one in arithmetic progression and the other in geometric progression, as follows: Outline of metrology

Arbitrarily large (600 words) [view diff] exact match in snippet view article find links to article

infinitely long arithmetic progression of prime numbers (there is not), nor that there exists any particular arithmetic progression of prime numbers

150 (number) (203 words) [view diff] exact match in snippet view article

be the only minimal difference greater than 1 of any increasing arithmetic progression of n primes (in this case, n = 7) that is not a primorial (a product

Magic square (22,399 words) [view diff] exact match in snippet view article find links to article

terms, such that r × s = n2, and whose initial terms are also in arithmetic progression, to obtain a non-normal magic square. Here either s or r should

Landau prime ideal theorem (396 words) [view diff] exact match in snippet view article find links to article

}({\sqrt {X}})} where r counts primes in the arithmetic progression 4n + 1, and r′ in the arithmetic progression 4n + 3. By the quantitative form of Dirichlet's

Sums of powers (832 words) [view diff] exact match in snippet view article find links to article

coefficients in the polynomial. The sum of cubes of numbers in arithmetic progression is sometimes another cube. The Fermat cubic, in which the sum of

Ibn Hamza al-Maghribi (1,560 words) [view diff] exact match in snippet view article find links to article

correlation between numbers in geometric progression and numbers in arithmetic progression, a correlation which would be a clue to think that he would have

Optics (Ptolemy) (948 words) [view diff] exact match in snippet view article

as experimentally derived, appear to have been obtained from an arithmetic progression. However, according to Mark Smith, Ptolemy's tables were based on

Cap set (2,244 words) [view diff] exact match in snippet view article find links to article

subset S ⊂ F p n {\displaystyle S\subset F_{p}^{n}} that contains no arithmetic progression of length 3 {\displaystyle 3} has size at most c p n {\displaystyle

Multiplicative number theory (438 words) [view diff] exact match in snippet view article find links to article

There is also much interest in the size of the smallest prime in an arithmetic progression; Linnik's theorem gives an estimate. The twin prime conjecture,

Romanov's theorem (964 words) [view diff] exact match in snippet view article find links to article

also proven for polynomials in finite fields. Also in 2015, an arithmetic progression of Gaussian integers that are not expressible as the sum of a Gaussian

Brahmagupta triangle (1,514 words) [view diff] exact match in snippet view article find links to article

OEIS. In a Brahmagupta triangle the side lengths form an integer arithmetic progression with a common difference 1. A generalized Brahmagupta triangle is

60,000 (801 words) [view diff] exact match in snippet view article find links to article

(65537, 65539, 65543); a middle member of a three-term primes in arithmetic progression, (65521, 65539, 65557). 65,792 = Leyland number using 2 & 16 (216

Roger Heath-Brown (720 words) [view diff] case mismatch in snippet view article find links to article

"Zero-Free Regions for Dirichlet L-Functions, and the Least Prime in an Arithmetic Progression". Proceedings of the London Mathematical Society. Series 3. 64 (2):

Rado's theorem (Ramsey theory) (606 words) [view diff] exact match in snippet view article

Waerden's theorem with m chosen to be length of the monochromatic arithmetic progression, one can for example consider the following matrix: ( 1 1 − 1 0

American Invitational Mathematics Examination (974 words) [view diff] exact match in snippet view article find links to article

and no set of four (not necessarily consecutive) terms forms an arithmetic progression. (2022 AIME I #6) Answer: 228 If the integer k {\displaystyle k}

Just-noticeable difference (1,713 words) [view diff] exact match in snippet view article find links to article

1. Circles in the upper row grow in arithmetic progression: each one is larger by 10 units than previous one. They make an impression of growing initially

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

these photons (x-rays) increased from one target to the next in an arithmetic progression. This led to the conclusion (Moseley's law) that the atomic number

Kepler triangle (2,047 words) [view diff] exact match in snippet view article find links to article

Automedian triangle, a triangle whose squared side lengths form an arithmetic progression, including the right triangle with side lengths 1 : 2 : 3 {\displaystyle

Covering system (1,225 words) [view diff] exact match in snippet view article find links to article

the numbers in the sequence are divisible by a prime p form an arithmetic progression; for instance, the even numbers in the sequence are the numbers

Øjvind Winge (916 words) [view diff] exact match in snippet view article find links to article

observed that different chromosome numbers within genera followed an arithmetic progression of multiplication (within the Asteraceae, for example, some species

Pythagorean Triangles (618 words) [view diff] exact match in snippet view article find links to article

classes of Pythagorean triangles, including those with sides in arithmetic progression, nearly-isosceles triangles, and the relation between nearly-isosceles

Hypergraph regularity method (3,386 words) [view diff] exact match in snippet view article find links to article

every dense subset of Z {\displaystyle \mathbb {Z} } contains an arithmetic progression of arbitrary length. In fact, by a relatively simple application

Rhythmicon (1,654 words) [view diff] exact match in snippet view article find links to article

series. Like the overtone series itself, the rhythms follow an arithmetic progression, so that for every single beat of the fundamental, the first overtone

Ancient Greek technology (1,556 words) [view diff] no match in snippet view article find links to article

was used to predict lunar and solar eclipses based on Babylonian arithmetic-progression cycles. Whereas the Antikythera mechanism is considered the proper

Cavalieri's principle (1,966 words) [view diff] exact match in snippet view article find links to article

of infinitesimal width. Applying the formula for the sum of an arithmetic progression, Wallis computed the area of a triangle by partitioning it into

Difference of two squares (2,055 words) [view diff] exact match in snippet view article find links to article

factorization Congruum, the shared difference of three squares in arithmetic progression Conjugate (algebra) Factorization Complex or imaginary numbers TheMathPage

Latin letters used in mathematics, science, and engineering (4,250 words) [view diff] case mismatch in snippet view article find links to article

ISBN 0-580-08471-X. OCLC 32212391.{{cite book}}: CS1 maint: others (link) "Arithmetic Progression - Formula, Examples | AP Formula". Cuemath. Retrieved 2022-03-24

Anatoly Karatsuba (9,409 words) [view diff] exact match in snippet view article find links to article

{\displaystyle p} , not exceeding x {\displaystyle x} and belonging to the arithmetic progression p ≡ l ( mod q ) {\displaystyle p\equiv l{\pmod {q}}} (J. Friedlander

Svante Arrhenius (4,150 words) [view diff] exact match in snippet view article find links to article

progression, the augmentation of the temperature will increase nearly in arithmetic progression. Here, Arrhenius refers to CO2 as carbonic acid (which refers only

Václav Šimerka (1,014 words) [view diff] exact match in snippet view article find links to article

(1885). "Zbytky z arithmetické posloupnosti (On the remainders of an arithmetic progression)". Časopis pro pěstování matematiky a fysiky. 14 (5): 221–225. doi:10

Sylvester Medal (2,334 words) [view diff] exact match in snippet view article find links to article

waves." 2014 Ben Green British "For his famous result on primes in arithmetic progression, and his subsequent proofs of a number of spectacular theorems over

Ptolemy (8,217 words) [view diff] exact match in snippet view article find links to article

the 60° angle of incidence) show signs of being obtained from an arithmetic progression. However, according to Mark Smith, Ptolemy's table was based in

Leroy P. Steele Prize (2,239 words) [view diff] exact match in snippet view article find links to article

for his paper "On sets of integers containing no k elements in arithmetic progression", Acta Arithmetica XXVII (1975), 199-245. 2007 Karen Uhlenbeck for

Heronian triangle (6,013 words) [view diff] exact match in snippet view article find links to article

internal angles form an arithmetic progression. This is because all plane triangles with interior angles in an arithmetic progression must have one interior

Practical number (4,246 words) [view diff] exact match in snippet view article find links to article

{\displaystyle p} runs over primes. As with prime numbers in an arithmetic progression, given two natural numbers a {\displaystyle a} and q {\displaystyle

Engel expansion (2,274 words) [view diff] case mismatch in snippet view article find links to article

1016/S0022-314X(03)00017-9, MR 2008063. Llorente, A. G. (2023), Arithmetic Progression-Representing Constants (preprint). Weisstein, Eric W. "Engel Expansion"

Polynomial method in combinatorics (1,387 words) [view diff] exact match in snippet view article find links to article

of F q n {\displaystyle \mathbb {F} _{q}^{n}} with no three-term arithmetic progression". Annals of Mathematics. 185 (1): 339–343. doi:10.4007/annals.2017

Logistic function (8,031 words) [view diff] exact match in snippet view article find links to article

session of 30 November 1844).", p. 1. Verhulst first refers to arithmetic progression and geometric progression, and refers to the geometric growth curve

Counter machine (4,705 words) [view diff] exact match in snippet view article find links to article

rates (p. 15) i.e. "the function 2X grows more rapidly than any arithmetic progression." (p. 11). The Friden EC-130 calculator had no adder logic as such

Structural Ramsey theory (2,383 words) [view diff] exact match in snippet view article find links to article

{\displaystyle n} , there exists a Δ {\displaystyle \Delta } -monochromatic arithmetic progression { a , a + d , a + 2 d , … , a + ( m − 1 ) d } ⊆ n {\displaystyle

Kloosterman sum (2,789 words) [view diff] exact match in snippet view article find links to article

is the number of primes p, not exceeding x and belonging to the arithmetic progression p ≡ l mod q {\displaystyle p\equiv l{\bmod {q}}} (J. Friedlander

Riemann hypothesis (16,749 words) [view diff] exact match in snippet view article find links to article

generalized Riemann hypothesis implies that the first prime in the arithmetic progression a mod m is at most Km2log(m)2 for some fixed constant K. In 1967

No-three-in-line problem (3,842 words) [view diff] exact match in snippet view article find links to article

large Salem–Spencer sets, sets of integers with no three forming an arithmetic progression. However, it does not work well to use this same idea of choosing

Szemerédi regularity lemma (6,164 words) [view diff] exact match in snippet view article find links to article

Endre (1975), "On sets of integers containing no k elements in arithmetic progression", Polska Akademia Nauk. Instytut Matematyczny. Acta Arithmetica

Bernoulli number (13,028 words) [view diff] exact match in snippet view article find links to article

{5}{66}}n} Indeed [if] one will have examined diligently the law of arithmetic progression there, one will also be able to continue the same without these

List of Greek inventions and discoveries (11,411 words) [view diff] no match in snippet view article find links to article

was used to predict lunar and solar eclipses based on Babylonian arithmetic-progression cycles. Whereas the Antikythera mechanism is considered a proper

Quadratic reciprocity (8,566 words) [view diff] exact match in snippet view article find links to article

{a}{m}}\right)=-1,} then a is a non-residue modulo every prime in the arithmetic progression m + 4a, m + 8a, ..., if there are any primes in this series, but

List of acronyms: C (5,292 words) [view diff] exact match in snippet view article find links to article

Coalition for the Prevention of Alcohol Problems Consecutive primes in arithmetic progression (p) Continuous positive airway pressure ("see-pap") CPC – Certified

Veselin Jungić (1,922 words) [view diff] exact match in snippet view article find links to article

appearing at least 1/6 of the time, must contain a 3-term rainbow arithmetic progression. The study extends these findings to similar colorings of the integers

Generating function transformation (11,140 words) [view diff] exact match in snippet view article find links to article

, 1 ) {\displaystyle (a,b):=(2,0),(2,1)} , we can expand these arithmetic progression generating functions directly in terms of F ( z ) {\displaystyle

Basket-handle arch (2,801 words) [view diff] exact match in snippet view article find links to article

stipulating that the successive radii must increase according to an arithmetic progression. This requirement means that the angles formed between the radii

Fields Medal (4,942 words) [view diff] exact match in snippet view article find links to article

Erdős), with a generalization to prime numbers in an arbitrary arithmetic progression." 1954 Amsterdam, Netherlands Kunihiko Kodaira Princeton University