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...ohn H. Conway]], Heidi Burgiel, Chaim Goodman-Strauss, ''The Symmetries of Things'' 2008, {{isbn|978-1-56881-220-5}} (Chapter 26, p.&nbsp;391 "proprism")</re The smallest is a [[3-3 duoprism]], made as the product of 2 triangles. If the triangles ...

...'''203''' is a number whose average of divisors is [[60 (number)|60]], the smallest number with twelve divisors and forty-second [[Composite number|composite]] ...its }}</ref> whose [[digit sum]] is also itself.<ref>{{Cite OEIS |A002998 |Smallest multiple of n whose digits sum to n }}</ref> ...

...bsp;=&nbsp;1 being the largest disk, and ''k''&nbsp;=&nbsp;''n'' being the smallest). It will be shown below that just as the original ToH puzzle is related to ...ks in the photo actually are magnetic. An 'analogy' involves two different things, right? What is the other thing? }} ...

...r]], approximately 2.71828), and <math>\aleph_0</math>, the [[Aleph number|smallest infinite cardinal number]]. Each chapter's topic is in some way related to *Chapter 1 concerns the use of numbers to count things, arithmetic, and the concepts of [[prime number]]s and [[integer factorizat ...

In [[geometry]] of 4 dimensions, a '''3-4 duoprism''', the second smallest p-q [[duoprism]], is a [[4-polytope]] resulting from the [[Cartesian produc ...ohn H. Conway]], Heidi Burgiel, Chaim Goodman-Strauss, ''The Symmetries of Things'' 2008, {{ISBN|978-1-56881-220-5}} (Chapter 26) ...

...of proofs is not an issue; proofs of similar identities to that above for things like <math>(x + y)^{100}</math> would take a lot of lines, but would really ...Smaller such algebras have since been found, and it is now known that the smallest such one must have either 11 or 12 elements.<ref>Jian Zhang, ''Computer sea ...

...|q}} among positive rational numbers, so we conclude that there is no such smallest positive rational number. ...ise would result in a [[contradiction|logical contradiction]] (there is a "smallest" number and yet there is a number smaller than it).<ref>{{cite book|last1=H ...

...…] provided it is not based on a mere pretension but on some vision of the things beyond those immediately present.<ref>Pólya, p. 121.</ref>}} ...position "10s" place) is less than the minimum ordinal position of 4900's smallest significant digit (number 9 in the 3rd position "100s" place). So the solv ...

which is 5.16771 × ''r''⁶, or 0.0807 of the smallest [[6-cube]] that contains the 5-sphere. which is 4.72477 × ''r''⁷, or 0.0369 of the smallest [[7-cube]] that contains the 6-sphere. ...

...every set of ordinals has a [[Greatest element and least element|least or "smallest" element]] (this is needed for giving a meaning to "the least unused elemen ...inals may be used to label the elements of any given well-ordered set (the smallest element being labelled 0, the one after that 1, the next one 2, "and so on" ...

...ask for either the initial or terminal quantity. Stated or implied is the smallest positive number that could be a solution. There are two unknowns in such p Before entering upon a solution to the problem, a couple of things may be noted. If there were no remainders, given there are 6 divisions of ...

...rds <math>\textstyle \left(1-\frac{1}{2^k}\right)</math>. This implies two things: ...tion problem]] belong the set of reals. The problem amounts to finding the smallest ''q'' such that the ''q''-[[relaxed intersection]] of the constraints is no ...

...way by operating on the new fraction. If ''i'' is always chosen to be the smallest such integer, this is equivalent to the [[greedy algorithm for Egyptian fra ...ate number]]s and the formulae for the number of combinations of different things taken so many at a time.<ref>{{cite book|last=Edwards|first=A. W. F.|title= ...

...omy (biology)|biological taxonomy]]. In this application, different living things are grouped into clusters at different scales or levels of similarity ([[Ta and then select (among the equal nearest neighbors) the one with the smallest index number. This rule prevents certain kinds of inconsistent behavior in ...

...'''join''' of these subspaces, denoted by {{math|<''U'', ''W''>}}, is the smallest subspace of {{math|'''P'''}} that contains both {{mvar|U}} and {{mvar|W}}. ...pace]],<ref>{{harvnb|Collino|Conte|Verra|2013|loc=p. 6}}</ref> among other things, he considered the consequences of having a [[Projective harmonic conjugate ...

Solving a mean payoff game can mean several things, although in practice finding one often also yields the other: ...yoff game is the energy game, in which the Maximizer tries to maximize the smallest cumulative sum within the play instead of the long-term average. ...

...ine)|V8]],<ref>{{Cite web|url=https://v8.dev/blog/array-sort|title=Getting things sorted in V8 · V8|website=v8.dev|access-date=2018-12-21}}</ref> and [[Swift ...] must be merged. Note that both runs are already sorted individually. The smallest element of the second run is 4 and it would have to be added at the fourth ...

...detections. These are sorted in order of descending amplitude (greatest to smallest). ...ectors produce a lock. Invalid signals do not. Invalid reflections include things like helicopter blades, where Doppler does not correspond with the velocity ...

''AP0'' is defined as the smallest set of primaries that encloses the entire CIE 1931 standard-observer spectr ...color space encoding from the metadata rather than inferring it from other things. For example: ...

}} — Oriented toward VBA, which does things a bit differently. ...|thumb|350px| Excel graph of the difference between two evaluations of the smallest root of a quadratic: direct evaluation using the quadratic formula (accurat ...