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searching for Perfect Square 234 found (252 total)

Square number (2,534 words) [view diff] case mismatch in snippet view article find links to article

In mathematics, a square number or perfect square is an integer that is the square of an integer; in other words, it is the product of some integer with

Viz Media (8,768 words) [view diff] no match in snippet view article find links to article

VIZ Media, LLC is an American entertainment company headquartered in San Francisco, California, focused on publishing manga, and distribution and licensing

Squaring the square (1,642 words) [view diff] no match in snippet view article find links to article

Squaring the square is the problem of tiling an integral square using only other integral squares. (An integral square is a square whose sides have integer

Factorization (7,734 words) [view diff] no match in snippet view article find links to article

In mathematics, factorization (or factorisation, see English spelling differences) or factoring consists of writing a number or another mathematical object

Spherical aromaticity (291 words) [view diff] case mismatch in snippet view article find links to article

with 60 π-electrons, is non-aromatic, since 60/2 = 30, which is not a perfect square. In 2011, Jordi Poater and Miquel Solà, expanded the rule to determine

Most-perfect magic square (570 words) [view diff] no match in snippet view article find links to article

A most-perfect magic square of order n is a magic square containing the numbers 1 to n2 with two additional properties: Each 2 × 2 subsquare sums to 2s

Perfect power (954 words) [view diff] case mismatch in snippet view article find links to article

be called a perfect kth power. If k = 2 or k = 3, then n is called a perfect square or perfect cube, respectively. Sometimes 0 and 1 are also considered

Cloister (835 words) [view diff] case mismatch in snippet view article find links to article

neighboring site by Abbot Richbold (784–804) the cloister was made a perfect square, against the south flank of the new church, precisely as in the plan

Square (algebra) (1,988 words) [view diff] case mismatch in snippet view article

quadratic. The square of an integer may also be called a square number or a perfect square. In algebra, the operation of squaring is often generalized to polynomials

Quartic equation (5,804 words) [view diff] case mismatch in snippet view article find links to article

a perfect square. This can be done by letting the discriminant of the quadratic function become zero. To explain this, first expand a perfect square so

Dobrovo (178 words) [view diff] case mismatch in snippet view article find links to article

around 1600 on the foundations of an older structure. It is an almost perfect square in plan with square turrets on each corner. It houses an art gallery

Completing the square (3,102 words) [view diff] case mismatch in snippet view article find links to article

some values of h and k. In other words, completing the square places a perfect square trinomial inside of a quadratic expression. Completing the square is

Yo-kai Watch (manga) (1,145 words) [view diff] exact match in snippet view article

April 2023. Viz Media publishes the series in North America under their Perfect Square imprint, whereas Shogakukan Asia publishes the series in Singapore and

Cheong Fatt Tze Mansion (661 words) [view diff] case mismatch in snippet view article find links to article

tiles made of encaustic clay in geometric pieces all shaped to fit to a perfect square, Glasgow cast iron works by MacFarlane's & Co. and Art Nouveau stained

SMOG (497 words) [view diff] case mismatch in snippet view article find links to article

10-sentence samples, estimate the count's square root (from the nearest perfect square), and add 3. A 2010 study published in the Journal of the Royal College

Tour Areva (176 words) [view diff] case mismatch in snippet view article find links to article

is made of dark granite and darkened windows. Its shape is that of a perfect square prism. It is said that its architects were inspired by the black monolith

Liouville function (1,720 words) [view diff] case mismatch in snippet view article find links to article

∑d|nλ(d)={1if n is a perfect square,0otherwise.{\displaystyle \sum _{d|n}\lambda (d)={\begin{cases}1&{\text{if }}n{\text{ is a perfect square,}}\\0&{\text{otherwise

Natural density (1,755 words) [view diff] case mismatch in snippet view article find links to article

there are more positive integers than perfect squares, since every perfect square is already positive, and many other positive integers exist besides

Regiomontanus' angle maximization problem (971 words) [view diff] case mismatch in snippet view article find links to article

Thus when we have u2 + v2, we can add the middle term −2uv to get a perfect square. We have x+abx.{\displaystyle x+{\frac {ab}{x}}.} If we regard x as

Pentagonal number (879 words) [view diff] case mismatch in snippet view article find links to article

to just check if 24x + 1 is a perfect square. For non-generalized pentagonal numbers, in addition to the perfect square test, it is also required to check

Partial function (2,041 words) [view diff] case mismatch in snippet view article find links to article

) {\displaystyle f(n)} is only defined if n {\displaystyle n} is a perfect square (that is, 0 , 1 , 4 , 9 , 16 , … {\displaystyle 0,1,4,9,16,\ldots }

Pythagorean triple (11,502 words) [view diff] case mismatch in snippet view article find links to article

) ( c − b ) 2 {\displaystyle {\tfrac {(c-a)(c-b)}{2}}} is always a perfect square. As it is only a necessary condition but not a sufficient one, it can

Brocard's problem (567 words) [view diff] case mismatch in snippet view article find links to article

values of n{\displaystyle n} such that n!+1{\displaystyle n!+1} is a perfect square, where n!{\displaystyle n!} is the factorial. Only three values of n{\displaystyle

Measurement of a Circle (659 words) [view diff] case mismatch in snippet view article find links to article

square root of 3 (one larger and one smaller) and other larger non-perfect square roots; however, Archimedes gives no explanation as to how he found these

Landau's problems (2,032 words) [view diff] case mismatch in snippet view article find links to article

perfect squares? Are there infinitely many primes p such that p − 1 is a perfect square? In other words: Are there infinitely many primes of the form n2 + 1

Pokémon Black and White (manga) (2,041 words) [view diff] exact match in snippet view article

Vol. 2 (9781421540917): Hidenori Kusaka, Satoshi Yamamoto: Books. Perfect Square. ISBN 978-1421540917. Hidenori, Kusaka (6 September 2011). Pokémon Black

Quadrants of Washington, D.C. (748 words) [view diff] case mismatch in snippet view article find links to article

[clarification needed] Originally, the District of Columbia was a near-perfect square but contained more than one settlement; the Capitol was to be the center

List of University of Santo Tomas buildings (552 words) [view diff] case mismatch in snippet view article find links to article

Santo Tomas (UST) in Sampaloc, Manila. The university sits on an almost perfect square of 21.5 hectares. The university transferred to its present campus in

Duke of Veragua (433 words) [view diff] case mismatch in snippet view article find links to article

area. Luis Colón was also made Marquess of Jamaica. The Dukedom was a perfect square of twenty-five leagues on a side, extending towards the west from the

Rolling (1,800 words) [view diff] case mismatch in snippet view article find links to article

with the surface. The construction of a specific surface allows even a perfect square wheel to roll with its centroid at constant height above a reference

Diophantine quintuple (431 words) [view diff] case mismatch in snippet view article find links to article

\ldots ,a_{m}\}} such that aiaj+1{\displaystyle a_{i}a_{j}+1} is a perfect square for any 1≤i<j≤m.{\displaystyle 1\leq i<j\leq m.} A set of m positive

Integer square root (2,318 words) [view diff] case mismatch in snippet view article find links to article

{\sqrt {y}}} run forever on each input y{\displaystyle y} which is not a perfect square. Algorithms that compute ⌊y⌋{\displaystyle \lfloor {\sqrt {y}}\rfloor

D Street Projects (469 words) [view diff] case mismatch in snippet view article find links to article

Seventh street and 3 city blocks from B street to D street, forming a perfect square. The land for the West Broadway Housing Development was cleared in 1941

Quadratic residue (5,481 words) [view diff] case mismatch in snippet view article find links to article

integer q is called a quadratic residue modulo n if it is congruent to a perfect square modulo n; i.e., if there exists an integer x such that: x 2 ≡ q ( mod

Shanks's square forms factorization (1,301 words) [view diff] case mismatch in snippet view article find links to article

integer to be factored, which must be neither a prime number nor a perfect square, and a small positive integer, k{\displaystyle k}. Output: a non-trivial

Square root of 2 (5,485 words) [view diff] case mismatch in snippet view article find links to article

Because 2 {\displaystyle {\sqrt {2}}} is not an integer (2 is not a perfect square), 2 {\displaystyle {\sqrt {2}}} must therefore be irrational. This proof

Mile Square Regional Park (490 words) [view diff] case mismatch in snippet view article find links to article

effort to create the park. The park derives its name from the near-perfect square of land that it occupies, bounded by Edinger and Warner Avenues on the

Nagata's conjecture on curves (348 words) [view diff] case mismatch in snippet view article find links to article

the plane. The only case when this is known to hold is when r is a perfect square, which was proved by Nagata. Despite much interest, the other cases

Heronian triangle (5,625 words) [view diff] case mismatch in snippet view article find links to article

with perfect square sides are related to the Perfect cuboid problem. As of February 2021, only two primitive Heronian triangles with perfect square sides

Proof without words (931 words) [view diff] case mismatch in snippet view article find links to article

sum of all positive odd numbers up to 2n − 1 is a perfect square—more specifically, the perfect square n2—can be demonstrated by a proof without words.

256 (number) (368 words) [view diff] case mismatch in snippet view article

expression nn{\displaystyle n^{n}}, where n=4{\displaystyle n=4}. 256 is a perfect square (162). 256 is the only 3-digit number that is zenzizenzizenzic. It is

64 (number) (660 words) [view diff] case mismatch in snippet view article

divisors, the first whole number (greater than one) that is both a perfect square, and a perfect cube. the lowest positive power of two that is not adjacent

Pyramid of the Sun (1,790 words) [view diff] case mismatch in snippet view article find links to article

feet (assumes perfect square base and smooth faces) Volume 1,184,828.31 cubic metres or 41,841,817 cubic feet (assumes perfect square base and smooth

Take On Mars (1,333 words) [view diff] case mismatch in snippet view article find links to article

with Mars Yard located on earth as a testing ground. Each map is a perfect square (four by four kilometers) with an area of 16km2 (6.2mi2) to be explored

123 (number) (367 words) [view diff] case mismatch in snippet view article

of only two positive integers that is simultaneously two more than a perfect square and two less than a perfect cube (123 = 112 + 2 = 53 - 2). 123 is the

Pell's equation (6,191 words) [view diff] case mismatch in snippet view article find links to article

and y = 0. Joseph Louis Lagrange proved that, as long as n is not a perfect square, Pell's equation has infinitely many distinct integer solutions. These

Division algebra (996 words) [view diff] case mismatch in snippet view article find links to article

The dimension of such an algebra over its center, if finite, is a perfect square: it is equal to the square of the dimension of a maximal subfield of

Hindu temple architecture (10,204 words) [view diff] case mismatch in snippet view article find links to article

directions help create the axis of a Hindu temple, around which is formed a perfect square in the space available. The circle of mandala circumscribes the square

Vieta jumping (1,858 words) [view diff] case mismatch in snippet view article find links to article

integers such that ab + 1 divides a2 + b2. Prove that a2 + b2/ab + 1 is a perfect square. Fix some value k that is a non-square positive integer. Assume there

Stroke ratio (2,571 words) [view diff] case mismatch in snippet view article find links to article

engine with a displacement of 2793 cubic centimeters is an example of a perfect square engine with an 84.0 mm × 84.0 mm (3.31 in × 3.31 in) bore and stroke

Cannonball problem (580 words) [view diff] case mismatch in snippet view article find links to article

triangular-pyramid version of the Cannon Ball Problem, which is to yield a perfect square from the Nth Tetrahedral number, would have N = 48. That means that

Centered cube number (391 words) [view diff] case mismatch in snippet view article find links to article

Foundation. Stroeker, R. J. (1995), "On the sum of consecutive cubes being a perfect square", Compositio Mathematica, 97 (1–2): 295–307, MR 1355130. O'Shea, Owen;

Ulam spiral (2,572 words) [view diff] case mismatch in snippet view article find links to article

common factor greater than 1 or if the discriminant Δ = b2 − 4ac is a perfect square, the polynomial factorizes and therefore produces composite numbers

Hindu temple (14,869 words) [view diff] case mismatch in snippet view article find links to article

directions help create the axis of a Hindu temple, around which is formed a perfect square in the space available. The circle of the mandala circumscribes the

DOT (graph description language) (1,148 words) [view diff] case mismatch in snippet view article

image that seems improperly rendered". The square on the right is not a perfect square, and some labels are misaligned with their arrows (such as (g o f)')

Lucas pseudoprime (3,549 words) [view diff] case mismatch in snippet view article find links to article

verifies that n, the number to be tested for primality, is odd, is not a perfect square, and is not divisible by any small prime less than some convenient limit

Central Presbyterian Church (Denver, Colorado) (266 words) [view diff] case mismatch in snippet view article

his career. It is described: "'The church is enormous, it is a nearly perfect square and is basically a four-tower type with crossing gables of equal height

Self-tiling tile set (829 words) [view diff] case mismatch in snippet view article find links to article

involved, is not prohibitive. It is easily shown that n must then be a perfect square. Figures 1,2,3,5 and 6 are all examples found by this method. Alternatively

James Harper (congressman) (757 words) [view diff] exact match in snippet view article

p. 126. Retrieved February 23, 2022. Heinzen, Nancy M. (2010). The Perfect Square: A History of Rittenhouse Square. Philadelphia: Temple University Press

Nether Lypiatt Manor (829 words) [view diff] case mismatch in snippet view article find links to article

with one wing added in 1931 by Morley Horder, the small house forms a perfect square of 46 feet (14 m) on each side, with sash windows, tall chimneys, hipped

Hall's conjecture (752 words) [view diff] case mismatch in snippet view article find links to article

differences between perfect squares and perfect cubes. It asserts that a perfect square y2 and a perfect cube x3 that are not equal must lie a substantial distance

Arab Horses Fighting in a Stable (328 words) [view diff] exact match in snippet view article find links to article

172 p., p. 165. Nathalia Brodskaya, Eugène Delacroix, Parkstone International, coll. « Perfect Square », 2011, 80 p. (ISBN 1781607168 and 9781781607169)

40,000 (865 words) [view diff] case mismatch in snippet view article find links to article

). "Sequence A359013 (Numbers k that can be written as the sum of a perfect square and a factorial in exactly 3 distinct ways)". The On-Line Encyclopedia

Inverse Galois problem (2,443 words) [view diff] case mismatch in snippet view article find links to article

{n(n-1)}{2}}n^{n}(n-1)^{n-1}t^{n-1}(1-t),} and this is not in general a perfect square. Solutions for alternating groups must be handled differently for odd

McDonough County, Illinois (1,309 words) [view diff] case mismatch in snippet view article find links to article

(0.1%) is water. The county has the unusual distinction of forming a perfect square by Mercator map projection. The county seat, Macomb, is in the center

Periodic continued fraction (2,747 words) [view diff] case mismatch in snippet view article find links to article

{P+{\sqrt {D}}}{Q}}} where P, D, and Q are integers, D > 0 is not a perfect square (but not necessarily square-free), and Q divides the quantity P2 − D

9000 (number) (998 words) [view diff] case mismatch in snippet view article

Ruth-Aaron pair (first definition) with 9801 9801 = 992, the largest 4 digit perfect square, centered octagonal number, square pentagonal number, member of a Ruth-Aaron

Coat of arms of the Dominican Republic (318 words) [view diff] case mismatch in snippet view article find links to article

lines of the rectangle from where the lower angles begin results in a perfect square. First coat of arms used from 1844 Coat of arms from 1860 Coat of arms

Lonja del Comercio building (754 words) [view diff] case mismatch in snippet view article find links to article

1956., The Parti pris of the Lonja del Comercio building in plan is a perfect square and based on the classic 9 square cube problem that was used,[1] among

Shijiahe culture (775 words) [view diff] case mismatch in snippet view article find links to article

belonged to the Qujialing culture. The city site is said to be a "nearly perfect square" of 120 hectares (300 acres) in area and was densely populated. It may

3 (3,156 words) [view diff] case mismatch in snippet view article find links to article

triangular numbers. Three is the only prime which is one less than a perfect square. Any other number which is n2{\displaystyle n^{2}} − 1 for some integer

Supreme Court of Victoria (building) (636 words) [view diff] case mismatch in snippet view article

are not held aloft, but rest on her knee. The building itself is a perfect square enclosing a circular courtyard with each street facade measuring 85

Fibonacci sequence (12,887 words) [view diff] case mismatch in snippet view article find links to article

{\displaystyle 5x^{2}+4} or 5 x 2 − 4 {\displaystyle 5x^{2}-4} is a perfect square. This is because Binet's formula, which can be written as F n = ( φ

Eugene McDonnell (778 words) [view diff] exact match in snippet view article find links to article

conference chairman APL84 Helsinki, APL award APL86 Manchester, UK, A Perfect Square Root Routine APL87 Dallas, Iverson Award APL88 Sydney, Life: Nasty,

Bravest Warriors (4,035 words) [view diff] exact match in snippet view article find links to article

with Bravest Warriors being one of the titles announced under their Perfect Square imprint. They were announced to be released in 2014. The series was

Algebraic integer (1,218 words) [view diff] case mismatch in snippet view article find links to article

integer n is an algebraic integer, but is irrational unless n is a perfect square. If d is a square-free integer then the extension K=Q(d){\displaystyle

Crestwood High School (Georgia) (642 words) [view diff] case mismatch in snippet view article

referred to as the "square donut" given that the halls formed a near-perfect square around a gymnasium located in the center of the building. The school

Hückel's rule (1,653 words) [view diff] case mismatch in snippet view article find links to article

60 π-electrons, is non-aromatic, since 60 ÷ 2 = 30, which is not a perfect square. In 2011, Jordi Poater and Miquel Solà expanded the rule to determine

Trial division (1,340 words) [view diff] case mismatch in snippet view article find links to article

the square root of n be an integer, then it is a factor and n is a perfect square. An example of the trial division algorithm, using successive integers

Cyclic number (1,597 words) [view diff] case mismatch in snippet view article find links to article

trivial single digits, i.e. p = 2) exist in any numeric base which is a perfect square, that is, base 4, 9, 16, 25, etc. Repeating decimal Fermat's little

Joseph-Louis Lagrange (6,132 words) [view diff] case mismatch in snippet view article find links to article

an integer n which is not a perfect square, to find a number x such that nx2 + 1[verification needed] is a perfect square; and the general differential

Square triangular number (1,568 words) [view diff] case mismatch in snippet view article find links to article

Integer that is both a perfect square and a triangular number

Hypercube (2,044 words) [view diff] case mismatch in snippet view article find links to article

exponential. For example, the exponent 2 will yield a square number or "perfect square", which can be arranged into a square shape with a side length corresponding

Vitruvian Man (3,348 words) [view diff] case mismatch in snippet view article find links to article

breadth will be found to be the same as the height, as in the case of a perfect square. — Vitruvius in De architectura, book three, chapter one 19th-century

Lissajous knot (1,050 words) [view diff] case mismatch in snippet view article find links to article

of the Lissajous knot must be a perfect square. In the even case, the Alexander polynomial must be a perfect square modulo 2. In addition, the Arf invariant

Church of Panagia Chalkeon (1,598 words) [view diff] case mismatch in snippet view article find links to article

longer than the south wall, and the four central columns do not form a perfect square. There is sculptural decoration on the capitals of the four columns

Methods of computing square roots (11,670 words) [view diff] case mismatch in snippet view article find links to article

and 100 is between 1 and 10, so if we know 25 is a perfect square (5 × 5), and 36 is a perfect square (6 × 6), then the square root of a number greater

Count von Count (2,107 words) [view diff] case mismatch in snippet view article find links to article

Count was quoted as saying, "It's a square-root thing.": 34,969 is a perfect square, being 1872. The Count's signature song is "The Song of the Count".

Baillie–PSW primality test (2,512 words) [view diff] case mismatch in snippet view article find links to article

average number of Ds that must be tried is about 3.147755149. If n is a perfect square, then step 3 will never yield a D with (D/n) = −1; this is not a problem

19 (number) (3,898 words) [view diff] case mismatch in snippet view article

sporadic groups. Worth noting, 26 is the only number to lie between a perfect square (52) and a cube (33); if all primes in the prime factorizations of 25

Granny square (674 words) [view diff] case mismatch in snippet view article find links to article

colors. The small blocks can be sewn or drawn together, so as to make a perfect square, this joining being done on the wrong side. The idea is to have the

Palindromic number (1,965 words) [view diff] case mismatch in snippet view article find links to article

palindrome "aa" in base b − 1 {\displaystyle b-1} , or else it is a perfect square n = a 2 {\displaystyle n=a^{2}} , in which case n is the palindrome

Born in the purple (1,332 words) [view diff] case mismatch in snippet view article find links to article

lions stand" (i.e. the Boukoleon Palace), and was in the form of a perfect square from floor to ceiling, with the latter ending in a pyramid. Its walls

Dixon's factorization method (1,484 words) [view diff] case mismatch in snippet view article find links to article

or pseudo-random x values and hoping that the integer x2 mod N is a perfect square (in the integers): x2≡y2(mod N),x≢±y(mod N).{\displaystyle x^{2}\equiv

24 (number) (2,420 words) [view diff] case mismatch in snippet view article

solution to the cannonball problem; that is, 12 + 22 + 32 + … + 242 is a perfect square (702). 24 is the only number whose divisors — 1, 2, 3, 4, 6, 8, 12,

Nueva Italia, Paraguay (355 words) [view diff] case mismatch in snippet view article find links to article

city is located to the north of the "Distrito Nueva Italia" and has a perfect square shape, because of the original urban planning promoted by count Enrico

Yo-kai Watch (6,740 words) [view diff] exact match in snippet view article find links to article

December 15, 2012. This series has been licensed by Viz Media under its Perfect Square imprint for its North American releases up to Volume 10, and is now

Shanhua Temple (1,228 words) [view diff] case mismatch in snippet view article find links to article

during the war. The pavilion measures three bays by two, but is nearly a perfect square. It is built on a short stone platform called a yuetai (月台) which is

Qi (state) (2,067 words) [view diff] case mismatch in snippet view article

by a wall with the living headquarters situated within and a nearly perfect square-shaped courtyard occupying the center.[citation needed] The Great Wall

Squared triangular number (1,666 words) [view diff] case mismatch in snippet view article find links to article

JSTOR 2688231. Stroeker, R. J. (1995), "On the sum of consecutive cubes being a perfect square", Compositio Mathematica, 97 (1–2): 295–307, MR 1355130. Toeplitz, Otto

Conference matrix (1,650 words) [view diff] case mismatch in snippet view article find links to article

n of 26 and 66. The networks are particularly simple when n−1 is a perfect square (n = 2, 10, 26, ...). Greig Malcolm (2006). "On the coexistence of conference

Unity Temple (1,794 words) [view diff] case mismatch in snippet view article find links to article

However, unlike the Larkin Building, the Temple's plan resulted in a perfect square rather than the double-square rectangle of the Larkin. To minimize noise

Television interference (919 words) [view diff] case mismatch in snippet view article find links to article

repetitive signal can be reduced down to a Fourier series of sine waves. A perfect square wave with fundamental frequency ω is: E(t;ω)=E0sin⁡(ωt)+E0sin⁡(3ωt)

Powerful number (1,808 words) [view diff] case mismatch in snippet view article find links to article

addition, each prime factor of m/b3 has an even exponent, so m/b3 is a perfect square, so call this a2; then m = a2b3. For example: m=21600=25×33×52,{\displaystyle

Hexadecimal (5,691 words) [view diff] case mismatch in snippet view article find links to article

both of these fractions are written as 0.1. Because the radix 16 is a perfect square (42), fractions expressed in hexadecimal have an odd period much more

Etching (microfabrication) (1,675 words) [view diff] case mismatch in snippet view article

trench with a V-shaped cross-section. If the original rectangle was a perfect square, the pit when etched to completion displays a pyramidal shape. The undercut

Kuṭṭaka (2,474 words) [view diff] case mismatch in snippet view article find links to article

of the residues of the revolutions of Saturn and Mars – each is a perfect square. Taking the equations furnished by the above and applying the methods

A Bigger Splash (875 words) [view diff] case mismatch in snippet view article find links to article

both times by auction at Sotheby's in London). The canvas – almost a perfect square – is dominated by the strong vertical and horizontal lines of the trees

Cusp (singularity) (1,501 words) [view diff] case mismatch in snippet view article

quadratic part, i.e. the quadratic terms in the Taylor series of f form a perfect square, say L(x, y)2, where L(x, y) is linear in x and y, and L(x, y) does

Yo-kai Watch (video game) (3,858 words) [view diff] exact match in snippet view article

December 15, 2012. This series has been licensed by Viz Media under its Perfect Square imprint. The series went on to earn awards for best Children's Manga

TV Guide (Canada) (1,132 words) [view diff] case mismatch in snippet view article

even as its former U.S. counterpart had updated its logo and adopted a perfect square binding process during the 1980s. Similarly, while the U.S. TV Guide

Perfect number (4,820 words) [view diff] case mismatch in snippet view article find links to article

perfect number (whether even or odd) must be even, because N cannot be a perfect square. From these two results it follows that every perfect number is an Ore's

Fermat's factorization method (1,397 words) [view diff] case mismatch in snippet view article find links to article

fails, because 282 is again not a square. The third try produces the perfect square of 441. So, a=80{\displaystyle a=80}, b=21{\displaystyle b=21}, and

Quadratic formula (5,216 words) [view diff] case mismatch in snippet view article find links to article

{b^{2}-4ac}{4a^{2}}}.\end{aligned}}} Because the left-hand side is now a perfect square, we can easily take the square root of both sides: x+b2a=±b2−4ac2a.{\displaystyle

Beautiful Skin (374 words) [view diff] exact match in snippet view article find links to article

of Can and Kraftwerk. Their debut single, "Sex is a Triangle for the Perfect Square" was followed up by the critically acclaimed Revolve, their debut LP

St. Stephen's Church (Boston, Massachusetts) (1,122 words) [view diff] case mismatch in snippet view article

handsome vane, about 100 feet from the foundation. The inside is a perfect square of 72 feet; two ranges of dorick columns under the galleries, and Corinthian

Sebastiano Serlio (2,020 words) [view diff] no match in snippet view article find links to article

composed of the definitions of geometry comprising point, line and perfect (square) planes; second, the underlying, three-dimensional forms of Nature

Bánh chưng (2,293 words) [view diff] case mismatch in snippet view article find links to article

and bound by giang strings in the square form. In order to get a near-perfect square-shaped cake, the maker can use a square mold to help in the wrapping

Principles of Hindu Reckoning (1,065 words) [view diff] case mismatch in snippet view article find links to article

algorithm is basically the same as Sunzi algorithm The approximation of non perfect square root using Sunzi algorithm yields result slightly higher than the true

Botanical garden (7,267 words) [view diff] case mismatch in snippet view article find links to article

near its original site. The hortus medicus of Leyden in 1601 was a perfect square divided into quarters for the four continents, but by 1720, though,

Quadratic equation (6,580 words) [view diff] case mismatch in snippet view article find links to article

sides. This "completes the square", converting the left side into a perfect square. Write the left side as a square and simplify the right side if necessary

Regular Hadamard matrix (373 words) [view diff] case mismatch in snippet view article find links to article

with specified symmetry groups, but it is not known whether every even perfect square is the order of a regular Hadamard matrix. Bush-type Hadamard matrices

Furoshiki (586 words) [view diff] case mismatch in snippet view article find links to article

cotton, rayon, and nylon. The cloth is typically square, although not a perfect square, to facilitate the wrap. Sizes vary, from 45 by 45 centimetres (18 in

Mommy (2014 film) (3,571 words) [view diff] exact match in snippet view article

Chris (8 January 2015). "Why Xavier Dolan's 'Mommy' Was Shot as a Perfect Square". The Hollywood Reporter. Archived from the original on 12 April 2015

Solomon's Porch (1,957 words) [view diff] case mismatch in snippet view article find links to article

witnessed by Josephus, the exact dimensions of Herod's Temple formed a perfect square - a furlong by a furlong on all four sides. On the east wall was a double

In You Rejoiceth (Kavertzas) (619 words) [view diff] case mismatch in snippet view article

early part of the 17th century in Heraklion Crete. The work is almost a perfect square. Surrounding the Virgin are 11 crowned figures one of them plays an

Marnie (film) (3,354 words) [view diff] case mismatch in snippet view article

Palms out, fingers together, thumbs extended and touching to form a perfect square. Moving his hands toward my face, like a camera coming in for a close

Vibration (7,235 words) [view diff] case mismatch in snippet view article find links to article

frequencies and it takes an infinite amount of sine waves to generate the perfect square wave. Hence, the Fourier transform allows you to interpret the force

Pythagorean theorem (12,548 words) [view diff] case mismatch in snippet view article find links to article

to the unit by the square root of a positive integer that is not a perfect square, it is a realization of a length incommensurable with the unit, such

Mental calculation (7,302 words) [view diff] case mismatch in snippet view article find links to article

square root of 15, one could start with the knowledge that the nearest perfect square is 16 (42). root ≃ 4 − 16 − 15 2 × 4 ≃ 4 − 0.125 ≃ 3.875 {\displaystyle

Parti (architecture) (743 words) [view diff] case mismatch in snippet view article

The parti of the Lonja del Comercio building in Havana (in plan) is a perfect square and based on the classic 9 square problem that was used, [1] among others

Hilbert's irreducibility theorem (700 words) [view diff] case mismatch in snippet view article find links to article

a polynomial g(x)∈Z[x]{\displaystyle g(x)\in \mathbb {Z} [x]} is a perfect square for all large integer values of x, then g(x) is the square of a polynomial

Fullerene (6,318 words) [view diff] case mismatch in snippet view article find links to article

filled shell for n = 2, 8, 18, 32, 50, 72, 98, 128, etc. (i.e., twice a perfect square number), but this series does not include 60. This 2(N + 1)2 rule (with

Cauchy–Schwarz inequality (5,151 words) [view diff] case mismatch in snippet view article find links to article

helpful when the inequality involves fractions where the numerator is a perfect square. The real vector space R 2 {\displaystyle \mathbb {R} ^{2}} denotes

Difference of two squares (1,926 words) [view diff] case mismatch in snippet view article find links to article

{N}}\right\rceil +i}. If one of the xi{\displaystyle x_{i}} equals a perfect square b2{\displaystyle b^{2}}, then N=ai2−b2=(ai+b)(ai−b){\displaystyle

900 (number) (3,815 words) [view diff] case mismatch in snippet view article

positions for the chess variant Chess960 961 = 312, the largest 3-digit perfect square, sum of three consecutive primes (313 + 317 + 331), sum of five consecutive

Richborough Castle (1,700 words) [view diff] case mismatch in snippet view article find links to article

0 ha) in area and was surrounded by massive walls, forming an almost perfect square. However, the north and south walls were constructed differently. The

City (23,343 words) [view diff] case mismatch in snippet view article find links to article

La Plata in Argentina is based on a perfect square with 5196-meter sides, and was designed in the 1880s as the new capital of Buenos Aires Province.

Évariste Galois (4,777 words) [view diff] case mismatch in snippet view article find links to article

Lagrange can be deduced. If r > 1 is a rational number that is not a perfect square, then r=[a0;a1,a2,…,a2,a1,2a0¯].{\displaystyle {\sqrt {r}}=\left[\,a_{0};{\overline

List of paintings by Gustav Klimt (545 words) [view diff] case mismatch in snippet view article find links to article

almonds. 18 1907–1908 – The Kiss (oil on canvas, 180 cm × 180 cm) A perfect square, the canvas depicts a couple embracing, their bodies entwined in elaborate

Random walk (7,178 words) [view diff] case mismatch in snippet view article find links to article

section on higher dimensions, assume now that our city is no longer a perfect square grid. When our person reaches a certain junction, he picks between the

Squaric acid (1,206 words) [view diff] case mismatch in snippet view article find links to article

conditions such as heating rates. The structure of squaric acid is not a perfect square, as the carbon–carbon bond lengths are not quite equal. The high acidity

Primitive root modulo n (2,485 words) [view diff] case mismatch in snippet view article find links to article

on primitive roots states that a given integer a that is neither a perfect square nor −1 is a primitive root modulo infinitely many primes. No simple

Altar (Bible) (2,175 words) [view diff] case mismatch in snippet view article

the altar during the Second Temple period. The altar was built as a perfect square and was quite large: it reached a height of 10 cubits (app. 5 meters)

Construction surveying (2,019 words) [view diff] exact match in snippet view article find links to article

September 2023. Lee, Rhodi (22 June 2016). "Great Pyramid Of Giza Not A Perfect Square". Tech Times. Tech Times Inc. Archived from the original on 8 November

Legendre symbol (2,221 words) [view diff] case mismatch in snippet view article find links to article

quadratic residue modulo p{\displaystyle p} if it is congruent to a perfect square modulo p{\displaystyle p} and is a quadratic nonresidue modulo p{\displaystyle

Algebraic number theory (5,798 words) [view diff] case mismatch in snippet view article find links to article

respectively. A real quadratic field Q(√a), with a ∈ Q, a > 0, and a not a perfect square, is so-called because it admits two real embeddings but no complex embeddings

Dumbarton Oaks (5,335 words) [view diff] case mismatch in snippet view article find links to article

galleries (having an unroofed fountain area at the center) set within a perfect square—recalls Islamic architectural ideas, and Johnson later credited the

Rittenhouse Club (531 words) [view diff] exact match in snippet view article find links to article

PA: University of Pennsylvania Press, 1999),, p.264. Nancy Heinzen, Perfect Square: A History of Rittenhouse Square (Philadelphia, PA: Temple University

Kid Pix (2,931 words) [view diff] case mismatch in snippet view article find links to article

an area with a solid color or pattern. Square Tool, used to create perfect square or rectangular shapes. Changing the line thickness in the line tool

Ashrafiya Mosque (1,693 words) [view diff] case mismatch in snippet view article find links to article

school surround the courtyard. Consequently, this creates an almost perfect square of the land plot. The south side of the courtyard contains a pair of

Sagrestia Vecchia (752 words) [view diff] case mismatch in snippet view article find links to article

unified with San Lorenzo, connected to its left transept. The plan is a perfect square with a smaller square scarsella or altar on the south side. The scarsella

Life in Hell (3,245 words) [view diff] case mismatch in snippet view article find links to article

along with him, saying "Well, I tried." The strip was published in a perfect square, unlike most Sunday strips which are published in rectangles. He had

Return to Plain Awful (611 words) [view diff] case mismatch in snippet view article find links to article

Scrooge and Flintheart's horror, the bills are chopped in two (leaving perfect square halves) and put on public display inside the bin. Scrooge and Flintheart

Lanier Mansion (1,838 words) [view diff] case mismatch in snippet view article find links to article

Revival style, the layout of the main block of the house is a near perfect square of approximately 54 feet (20 m) by 53 feet (20 m), with a service wing

List of unsolved problems in mathematics (19,529 words) [view diff] case mismatch in snippet view article find links to article

solitary number? Can a 3×3 magic square be constructed from 9 distinct perfect square numbers? Which integers can be written as the sum of three perfect cubes

Solving quadratic equations with continued fractions (1,700 words) [view diff] case mismatch in snippet view article find links to article

though, it is always possible to transform the equation by subtracting a perfect square from both sides and proceeding along the lines illustrated with √2 above

Edward T. Stotesbury (955 words) [view diff] exact match in snippet view article find links to article

Peircetonian,(Philadelphia, PA), September 1939. Heinzen, Nancy (2009). The Perfect Square: A History of Rittenhouse Square. Philadelphia, PA: Temple University

Bloor/Gladstone Library (376 words) [view diff] no match in snippet view article find links to article

brick ornamentation and terra cotta veneer; the attempt to create a "perfect" square-shaped plan of the library with barrel-vaulted ceilings and a courtyard

Newark Earthworks (1,339 words) [view diff] case mismatch in snippet view article find links to article

The Wright Earthworks consist of a fragment of a geometrically near-perfect square enclosure and part of one wall that originally formed a set of parallel

Nth root (4,939 words) [view diff] case mismatch in snippet view article find links to article

{32/5}}} in simplified form, we can proceed as follows. First, look for a perfect square under the square root sign and remove it: 32 5 = 16 ⋅ 2 5 = 16 ⋅ 2 5

Winx Club (9,881 words) [view diff] exact match in snippet view article find links to article

original on 22 February 2019. Retrieved 15 March 2019. "Viz Media's Perfect Square Imprint Delivers Fairy Action and Adventure in New Winx Club: Magic

Diophantine set (1,408 words) [view diff] case mismatch in snippet view article find links to article

only has solutions in N{\displaystyle \mathbb {N} } when x is not a perfect square. The Diophantine set is {2, 3, 5, 6, 7, 8, 10, 11, 12, 13, ...}. The

Square packing (907 words) [view diff] case mismatch in snippet view article find links to article

n{\displaystyle n} unit squares is known when n{\displaystyle n} is a perfect square (in which case it is n{\displaystyle {\sqrt {n}}}), as well as for n={\displaystyle

Matterhorn (12,219 words) [view diff] case mismatch in snippet view article find links to article

a good portion of the Valtournenche. The Matterhorn does not form a perfect square pyramid, as the north and south faces are wider than the west and east

Architecture of the California missions (3,958 words) [view diff] case mismatch in snippet view article find links to article

other festive events often took place. The cuadrángulo was rarely a perfect square because the Fathers had no surveying instruments at their disposal and

List of misnamed theorems (1,976 words) [view diff] case mismatch in snippet view article find links to article

positive integers and where d is a known positive integer which is not a perfect square, is ascribed to John Pell. It seems to have been discovered by Fermat

Quadratic sieve (4,476 words) [view diff] case mismatch in snippet view article find links to article

square it, divide by n and hope the least non-negative remainder is a perfect square. For example, 80 2 ≡ 441 = 21 2 ( mod 5959 ) {\displaystyle 80^{2}\equiv

Hilbert's tenth problem (3,042 words) [view diff] case mismatch in snippet view article find links to article

the number of solutions of a Diophantine equation is finite, odd, a perfect square, a prime, etc. The proof of the MRDP theorem has been formalized in

Strongly regular graph (3,240 words) [view diff] case mismatch in snippet view article find links to article

{\sqrt {4k-3}}} is an integer t, then 4k−3{\displaystyle 4k-3} is a perfect square t2{\displaystyle t^{2}}, so k=t2+34{\displaystyle k={\frac {t^{2}+3}{4}}}

List of Hindu temples in Indonesia (1,911 words) [view diff] case mismatch in snippet view article find links to article

Purwomartani (Kalasan), this temple is located below ground level, and is a perfect square of 13.65 x 13.65 meters and is 7 meters high; it is the most preserved

Rounding (8,234 words) [view diff] case mismatch in snippet view article find links to article

integer domain and range. For example, if an integer n is known to be a perfect square, its square root can be computed by converting n to a floating-point

Ajanta Caves (20,069 words) [view diff] case mismatch in snippet view article find links to article

of this monastery is 19.5 m × 3 m, while the main hall is almost a perfect square with 19.5 m side. Inscription of Varāhadēva The paintings in Cave 16

Spanish missions in California (15,899 words) [view diff] case mismatch in snippet view article find links to article

other festive events often took place. The cuadrángulo was rarely a perfect square because the missionaries had no surveying instruments at their disposal

Cabatuan, Iloilo (2,914 words) [view diff] case mismatch in snippet view article find links to article

Spanish-Filipino Cemetery is the only cemetery in the Philippines which is a perfect square. Three Byzantine arch entrances dominate the front-gate, while a baroque

Multivibrator (3,948 words) [view diff] case mismatch in snippet view article find links to article

output of the circuit (in contrast to the astable circuit, it has a perfect square waveform since the output is not loaded by the capacitor). When triggered

Inverse trigonometric functions (10,716 words) [view diff] case mismatch in snippet view article find links to article

the partial numerators (after the first) are just (nz)2, with each perfect square appearing once. The first was developed by Leonhard Euler; the second

Euler brick (1,770 words) [view diff] exact match in snippet view article find links to article

Perfect Cuboids, June 2000 Florian Luca (2000) "Perfect Cuboids and Perfect Square Triangles", Mathematics Magazine, 73:5, p. 400-401 Sharipov R.A. (2012)

Archimedes's cattle problem (2,226 words) [view diff] case mismatch in snippet view article find links to article

finding a value of q2 such that the discriminant of this quadratic is a perfect square p2 entails solving the Pell equation p 2 − ( 2 2 ) ( 609 ) ( 7766 )

Sargon II (11,403 words) [view diff] case mismatch in snippet view article find links to article

aspects of the city and Dur-Sharrukin's city walls formed a nearly perfect square. The numerous surviving sources on the construction of the city include

Franklin Inn Club (830 words) [view diff] exact match in snippet view article find links to article

Publishing. pp. 129. ISBN 0-517-52384-1. OCLC 1694102. Nancy M. Heinzen, The Perfect Square: A History of Rittenhouse Square, p. 93, Temple University Press, 2012

Pokémon Diamond and Pearl Adventure! (1,008 words) [view diff] exact match in snippet view article find links to article

Diamond and Pearl Adventure) (9781421536712): Shigekatsu Ihara: Books. Perfect Square. ISBN 978-1421536712. Pokémon Diamond and Pearl Adventure! at Bulbapedia

Pokémon Diamond and Pearl Adventure! (1,008 words) [view diff] exact match in snippet view article find links to article

Diamond and Pearl Adventure) (9781421536712): Shigekatsu Ihara: Books. Perfect Square. ISBN 978-1421536712. Pokémon Diamond and Pearl Adventure! at Bulbapedia

Château du Sou (527 words) [view diff] case mismatch in snippet view article find links to article

approximately 1369. The fortified enceinte, dotted with towers, forms an almost perfect square. There remain some traces of moats and the drawbridge. The keep has

Renormalization group (6,983 words) [view diff] case mismatch in snippet view article find links to article

by Leo P. Kadanoff in 1966. Consider a 2D solid, a set of atoms in a perfect square array, as depicted in the figure. Assume that atoms interact among themselves

Bust of a Princess (107 words) [view diff] case mismatch in snippet view article find links to article

Aragon, now in the palazzo Abatellis in Palermo. The Louvre work forms a perfect square, both 44 cm high and 44 cm deep - this principal of idealisation draws

Serpens (11,793 words) [view diff] case mismatch in snippet view article find links to article

the Red Rectangle Nebula, the planetary nebula appears to be a nearly perfect square with a dark band around the equatorial regions. The nebula contains

Nancy Grant (1,334 words) [view diff] exact match in snippet view article find links to article

Retrieved October 10, 2015. "Why Xavier Dolan's 'Mommy' Was Shot as a Perfect Square". The Hollywood Reporter. January 8, 2015. Archived from the original

Mandalay Palace (4,042 words) [view diff] case mismatch in snippet view article find links to article

conservationists. The palace citadel's four 2 km long walls form a perfect square, complete with a total of 48 bastions with gold tipped pyatthats or

Leech lattice (4,220 words) [view diff] case mismatch in snippet view article find links to article

Lorentzian norm zero relies on the fact that 12 + 22 + ... + 242 is a perfect square (in fact 702); the number 24 is the only integer bigger than 1 with

Eli Kirk Price II (359 words) [view diff] case mismatch in snippet view article find links to article

Report, 1933. Philadelphia, PA" (PDF). Heinzen, Nancy H. (2009). The perfect square: a history of Rittenhouse Square. Temple University Press. p. 111.

Hôtel de Castries (772 words) [view diff] case mismatch in snippet view article find links to article

Nogent. Typical of residences of this time, it had a courtyard forming a perfect square and two wings projecting off a central body to form a U, all of the

Jordie Albiston (2,008 words) [view diff] case mismatch in snippet view article find links to article

Kinlyside in response to one poem. [T]he Book of Ethel consists of "perfect square" syllabic rhymed stanzas, charting the life of Albiston's Cornish great

Ambigram (11,054 words) [view diff] case mismatch in snippet view article find links to article

achieved in a puzzle where each piece of the word "circle" fits inside a perfect square. Burkard Polster, professor of mathematics in Melbourne conducted researches

Max Steel (8,201 words) [view diff] exact match in snippet view article find links to article

introduce Elementor to kids. In 2013, VIZ Media's all-ages imprint, Perfect Square, released The Parasites, the first in a series of a full length graphic

Phineas and Ferb season 4 (1,458 words) [view diff] case mismatch in snippet view article find links to article

a girl named Rosie by making special boots that would make him the perfect square dancer. 184 10 "Backyard Hodge Podge" Sue Perrotto Aliki Theofilopoulos

Reed Farrel Coleman (1,437 words) [view diff] exact match in snippet view article find links to article

Stickball in Milwaukee, Permanent Press, 1997. ISBN 1877946958 Walking the Perfect Square, Permanent Press, 2001. ISBN 1579620396 Redemption Street, Viking, 2004

Upper Zohar (1,516 words) [view diff] case mismatch in snippet view article find links to article

a square fortlet with protruding towers at each corner. It is not a perfect square, but rather than carelessness, this is caused by the desire to make

History of gardening (9,612 words) [view diff] case mismatch in snippet view article find links to article

makers to abjure earthliness and look upward for divine inspiration. A perfect square with a round pool and a pentagonal fountain became a microcosm, illuminating

Santa Cecilia Chapel (994 words) [view diff] case mismatch in snippet view article find links to article

only surviving medieval chapel in Gozo. The building has an almost perfect square plan, measuring 7 m × 7 m (23 ft × 23 ft), having a slight pitch on

Sicilian Baroque (11,876 words) [view diff] case mismatch in snippet view article find links to article

plan. The whole plan was often to take a geometric shape such as a perfect square or a hexagon, typical of Renaissance and Baroque town planning. The

Castle Mona (1,172 words) [view diff] case mismatch in snippet view article find links to article

placing the cost in excess of £50,000. The building was constructed as a perfect square, with an additional wing on the south side. A similar wing was intended

Richard Horden (1,041 words) [view diff] case mismatch in snippet view article find links to article

arranged in a taught discipline of columns on a 3.7m grid. The house is a perfect square on plan made up of 5 x 5 bays giving a footprint of 342 sqm. The entrance

Plimpton 322 (5,876 words) [view diff] no match in snippet view article find links to article

and diagonal". The factor-reduced core of a number is the number with perfect-square regular factors removed; computing the factor-reduced core was part

Nachna Hindu temples (3,654 words) [view diff] case mismatch in snippet view article find links to article

is missing. The Parvati Temple is a two-storey building with almost perfect square plan thick-walled sanctum of 15 feet (4.6 m) side on the outside, and

Magic square (22,189 words) [view diff] case mismatch in snippet view article find links to article

form of magic squares, coining the words pandiagonal square and most perfect square, which had previously been referred to as perfect, or diabolic, or Nasik

Cochise County in the Old West (9,877 words) [view diff] case mismatch in snippet view article find links to article

Tombstone until 1929, when it moved to Bisbee. Cochise County is almost a perfect square in the southeasternmost corner of the state: 83 by 84 miles (134 by

Bryant Fedden (6,389 words) [view diff] exact match in snippet view article find links to article

Metalwork/Wood 4.Metalwork 1."If you were A vulgar fraction Love e I were a perfect Square We'd go For a quiet Subtraction Love In the Dirty Moonlight Air We'd

Quadratic reciprocity (8,009 words) [view diff] case mismatch in snippet view article find links to article

reciprocity arises from certain subtle factorization patterns involving perfect square numbers. In this section, we give examples which lead to the general

Radar signal characteristics (3,743 words) [view diff] case mismatch in snippet view article find links to article

typically in microseconds, each pulse lasts. If the pulse is not a perfect square wave, the time is typically measured between the 50% power levels of

Fort Carondelet (1,523 words) [view diff] case mismatch in snippet view article find links to article

horizontally one upon the other, as the Americans practice. It shall form a perfect square each side of thirty-two feet. The second part shall be placed diagonally

Hadamard's maximal determinant problem (2,385 words) [view diff] case mismatch in snippet view article find links to article

set of columns by −1. The bound is not attainable unless 2n−1 is a perfect square, and is therefore never attainable when n ≡ 3 (mod 4). When n is even

Incremental encoder (4,797 words) [view diff] case mismatch in snippet view article find links to article

moving at constant velocity, an ideal incremental encoder would output perfect square waves on A and B (i.e., the pulses would be exactly 180° wide and the

Baker House (Bacchus Marsh, Victoria) (631 words) [view diff] case mismatch in snippet view article

Boyd creates a sense of formality in the layout through the use of a perfect square. The use of such geometry also reflects the client’s profession as a

Nested intervals (4,101 words) [view diff] case mismatch in snippet view article find links to article

which x {\displaystyle x} has to be found. If one knows the next higher perfect square k 2 > x {\displaystyle k^{2}>x} , one can get an even better candidate

Maria Novaro (3,223 words) [view diff] case mismatch in snippet view article find links to article

dance,” is simple in nature: Each partner concentrates on completing a perfect square of steps, making eye contact only fleetingly in what amounts to a pantomime

Binary quadratic form (4,936 words) [view diff] case mismatch in snippet view article find links to article

{\displaystyle \Delta <0} , degenerate if Δ {\displaystyle \Delta } is a perfect square, and indefinite otherwise. A form is primitive if its content is 1,

Percy Richard Morley Horder (2,754 words) [view diff] case mismatch in snippet view article find links to article

Coxe, with one wing added in 1931 by Horder, the small house forms a perfect square of 46 feet (14 m) on each side, with sash windows, tall chimneys, hipped

Poggio Reale (villa) (2,674 words) [view diff] case mismatch in snippet view article

the courtyard into a large central hall. Also, the building was not a perfect square, but a rectangle as shown by the sparse but iconographic later documentation

Australian Survivor season 1 (1,680 words) [view diff] case mismatch in snippet view article find links to article

had 4 stages. In stage 1, all ten survivors solved a puzzle to make a perfect square and then get a rope. The last three to finish were out. In stage 2,

Hensel's lemma (8,293 words) [view diff] case mismatch in snippet view article find links to article

Zp{\displaystyle \mathbb {Z} _{p}} congruent to r1 modulo p. Conversely, if a is a perfect square in Zp{\displaystyle \mathbb {Z} _{p}} and it is not divisible by p then

Formulas for generating Pythagorean triples (4,213 words) [view diff] case mismatch in snippet view article find links to article

integers r, s, and t such that r2=2st{\displaystyle r^{2}=2st} is a perfect square. Then: x=r+s,y=r+t,z=r+s+t.{\displaystyle x=r+s\,,\,y=r+t\,,\,z=r+s+t

St Nicholas' Church, Sturry (1,240 words) [view diff] case mismatch in snippet view article find links to article

rebuilt with battlements. (Note that the top of the tower is not a perfect square). At the same time, the old porch, built in Tudor times, was in need

Colonial Town Plans of Perth (2,044 words) [view diff] case mismatch in snippet view article find links to article

North and South America, but these were based on the Iberian model of a perfect square. Historian Felicity Morel-Edniebrown suggests that Williamsburg introduced

Amarna Tomb 3 (2,692 words) [view diff] case mismatch in snippet view article find links to article

wooden folding doors. The side wall of the statue-niche was cut in a perfect square, demonstrating expertise in stonemasonry. Throughout the tomb, the undecorated

Beltrami equation (10,241 words) [view diff] case mismatch in snippet view article find links to article

y) has dropped out and the expression inside the square root is the perfect square ux2vy2−2uxvxuyvy+vx2uy2.{\displaystyle u_{x}^{2}v_{y}^{2}-2u_{x}v_{

Alexander J. Harper (567 words) [view diff] exact match in snippet view article find links to article

house on Rittenhouse Square, in August 1869. Heinzen, Nancy (2009). The Perfect Square: A History of Rittenhouse Square. Philadelphia: Temple University Press

Polynomials calculating sums of powers of arithmetic progressions (4,266 words) [view diff] case mismatch in snippet view article find links to article

time a gnomon consisting of an odd number of points to obtain the next perfect square. 12+22+…+n2=13n3+12n2+16n,{\displaystyle 1^{2}+2^{2}+\ldots +n^{2}={\frac

310 (number) (134 words) [view diff] case mismatch in snippet view article

intersecting peaks. 310 base 6 it is 1234 The sum of the divisors of 310 is a perfect square. "Composite numbers". mathworld.wolfram.com. "sphenic number". mathworld

289 (number) (650 words) [view diff] case mismatch in snippet view article

show up in the number. This one can be expressed as (8+9)². 289 is a perfect square being equal to 17². It is also the 7th number to only have 3 factors

San Jacinto County Jail (758 words) [view diff] case mismatch in snippet view article find links to article

two-story jail was constructed out of yellow-pink brick and was initially a perfect square, measuring 28 by 28 feet (8.5 by 8.5 m) before a 1911 expansion doubled

List of Ocean Girl episodes (95 words) [view diff] case mismatch in snippet view article find links to article

ocean floor, even more strange is that the anomaly is in the shape of a perfect square. Dianne announces that she is going to pursue the vacant position of

Pinoy Big Brother: Unlimited events (28,406 words) [view diff] case mismatch in snippet view article find links to article

Industrial House and gave the male housemates ten seconds to make a perfect square. When the guys failed, she had all of them take off the shirts they

74th Berlin International Film Festival (2,641 words) [view diff] exact match in snippet view article find links to article

Chaikitiporn Thailand O Seeker Gavati Wad India, United States The Perfect Square Gernot Wieland Belgium, Germany The Periphery of the Base 基地之侧 Zhou