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https://en.wikipedia.org/wiki/Lehmann%E2%80%93Scheff%C3%A9_theorem
{\displaystyle \mathbb {E} _{\theta }[\varphi (T(X))]=0\implies \varphi (T(X))=0\quad \mathbb {P} _{\theta }{\text{-a
https://en.wikipedia.org/wiki/Stephen_Smale
]]<br>[[Morse–Smale system]]<br>[[Morse–Smale diffeomorphism]]<br>[[Palais–Smale compactness condition]]<br>[[Blum–Shub–Smale machine]]<br>[[Smale–Williams attractor]]<br>[[Morse–Palais lemma]]<br>[[Regular homotopy]]<br>[[Sard's theorem]]<br>[[Sphere eversion]]<br>[[Structural stability]]<br>[[Whitehead
https://en.wikipedia.org/wiki/Truth_tables
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https://en.wikipedia.org/wiki/Module_homomorphism
Schur's lemma says that a homomorphism between simple modules (modules with no non-trivial submodules) must be either zero or an isomorphism
https://en.wikipedia.org/wiki/Korean_verbs
If speaking both to and of one's elders, one would use both the formal and the honorific suffixes
https://en.wikipedia.org/wiki/Euclidean_division
If 9 slices were divided among 3 people instead of 4, then each would receive 3 and no slice would be left over, which means that the remainder would be zero,
https://en.wikipedia.org/wiki/P-adic_number
01210121\ldots \ ({\text{base }}3)&&{}=0\cdot 3^{0}+0\cdot 3^{-1}+1\cdot 3^{-2}+2\cdot 3^{-3}+\cdots \\[5mu]{\tfrac {1}{5}}&{}=\dots 121012102\ \ ({\text{3-adic}})&&{}=\cdots +2\cdot 3^{3}+1\cdot 3^{2}+0\cdot 3^{1}+2\cdot 3^{0}
https://en.wikipedia.org/wiki/Timeline_of_astronomy
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https://en.wikipedia.org/wiki/Projective_varieties
The converse is not true in general, but Chow's lemma describes the close relation of these two notions
https://en.wikipedia.org/wiki/Signal_recovery
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https://en.wikipedia.org/wiki/Variable_(mathematics)
[14] So for example, what would be written in modern notation as: x 3 − 2 x 2 + 10 x − 1 , {\displaystyle x^{3}-2x^{2}+10x-1,} would be written in Diophantus's syncopated notation as:
K υ α ¯ ζ ι ¯ ⋔ Δ υ β ¯ M α ¯ {\displaystyle \mathrm {K} ^{\upsilon }{\overline {\al
https://en.wikipedia.org/wiki/Hawker_Siddeley_Trident
[4]
In April 1956, Anthony Milward, chief executive of BEA, stated that he "would rather do without [jet airliners]
https://en.wikipedia.org/wiki/Slavery_in_ancient_Egypt
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https://en.wikipedia.org/wiki/Gardariki
The same suffix could also form nouns, and a noun formation ''*rīk-ja-'' is reflected by Old English ''rīce'' ‘kingdom’ and by a similar range of congnates, including Old High German ''rīhhi'' (> modern German ''Reich'')\""},"body":{"id":"mw-reference-text-cite_note-FOOTNOTEDurkin2014section_4
https://en.wikipedia.org/wiki/Collusion
This type of collusion is generally not considered illegal, so companies guilty of tacit conspiracy should face no penalties even though their actions would have a similar economic impact as explicit conspiracy
https://en.wikipedia.org/wiki/Theorem
Moreover, many authors qualify as theorems only the most important results, and use the terms lemma, proposition and corollary for less important theorems
https://en.wikipedia.org/wiki/Dil_Hai_Tumhaara
com/photogallery/entertainment/bollywood-dil-hai-tumhara-story-developed-by-rajkumar-santoshi-30-years-back-preity-zinta-arjun-rampal-movie-9-songs-album-hit-after-release-deets-inside-7440161-page-7
https://en.wikipedia.org/wiki/Russell's_paradox
[6][7] At the end of the 1890s, Georg Cantor – considered the founder of modern set theory – had already realized that his theory would lead to a contradiction (to Cantor's theorem)[8], as he told Hilbert and Richard Dedekind by letter
https://en.wikipedia.org/wiki/Hypothesis_test
There are two possible classes of error:
A type I error, in which the null hypothesis is rejected despite the null hypothesis being true, with probability α = P ( reject H 0 | H 0 ) {\displaystyle \alpha =P({\text{reject }}H_{0}|H_{0})}
https://en.wikipedia.org/wiki/Hypothesis_testing
There are two possible classes of error:
A type I error, in which the null hypothesis is rejected despite the null hypothesis being true, with probability α = P ( reject H 0 | H 0 ) {\displaystyle \alpha =P({\text{reject }}H_{0}|H_{0})}
https://en.wikipedia.org/wiki/Axiomatic_system
It is not, however, evident whether the existence of inverse elements was axiomatic: it would follow from the semantic assumption that groups were permutation groups (permutations being invertible by definition) or geometric transformations with the same property
https://en.wikipedia.org/wiki/Lithium%E2%80%93sulfur_battery
com/industrial/batteries-oem/oem/lithium-ion
https://en.wikipedia.org/wiki/USAID_v._Alliance_for_Open_Society_International_(2013)
Such a requirement would be considered a form of "leveraging" and violated the First Amendment protection of free speech
https://en.wikipedia.org/wiki/Outline_of_Sikhism
[5]
The sacred text and last Guru of Sikhism, Guru Granth Sahib, teaches humans how to unite with the all cosmic soul; with God, the creator: "Only those who selflessly love everyone, they alone shall find God
https://en.wikipedia.org/wiki/Common_hippo
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https://en.wikipedia.org/wiki/Hippopotamus
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https://en.wikipedia.org/wiki/Log-normal_distribution
"entropy":{"wt":"<math> \\log_2 \\left( \\sqrt{2\\pi e} \\, \\sigma e^{ \\mu } \\right) </math>"},"mgf":{"wt":"defined only for numbers with a {{nowrap|non-positive}} real part, see text"},"char":{"wt":"representation <math> \\sum_{n=0}^{\\infty} \\frac{ {\\left(i t\\right)}^n }{ n
https://en.wikipedia.org/wiki/TheBus_(Prince_George's_County)
":{"wt":""},"fleet":{"wt":"[[Gillig]], [[ENC (company)|ENC]], [[Proterra (bus manufacturer)|Proterra]]"},"ridership":{"wt":"12,700 (2026)"},"annual_ridership":{"wt":"2,441,500"},"fuel_type":{"wt":"Diesel"},"operator":{"wt":"[[RATP Dev]] ([[WMATC]] 3226)"},"ceo":{"wt":""},"website":{"wt":"{{URL|https://www
https://en.wikipedia.org/wiki/Saul_Kripke
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https://en.wikipedia.org/wiki/Formal_power_series_ring
} If we studied this as a power series, its properties would include, for example, that its radius of convergence is 1 by the Cauchy–Hadamard theorem