lemma|lemmas|lemmata in English

noun

helping theory, subordinate proposition (Mathematics); headword, word that is explained or clarified

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1. The Johnson–Lindenstrauss lemma is a classic result in this vein.

2. Lemma: Two Cosets of are either identical or nonintersecting.

3. The std/Alists library provides functions and lemmas about:

4. This problem became known as the Fundamental Lemma .

5. Each Coset has exactly jHj elements by the previous lemma

6. The lemma is named after the mathematician Pavel Samuilovich Urysohn.

7. Advanced mathematical proofs like Siegel's lemma build upon this more general concept.

8. The notion of exact sequence is meaningful in Grp, and some results from the theory of abelian categories, such as the nine lemma, the five lemma, and their consequences hold true in Grp.

9. Urysohn's lemma is commonly used to construct continuous functions with various properties on normal spaces.

10. Archimedes' Book of Lemmas or Liber Assumptorum is a treatise with fifteen propositions on the nature of circles.

11. Earlyleaf Brome is distinguished by the leafy stems, Auricled sheaths, dense line of hairs on at least some ligules, nodes all hidden within the sheaths, a 1-veined lower glume, 3 to 5-veined upper glume, glumes and lemmas both often hairy, lemmas with longer …

12. The five lemma is not only valid for abelian categories but also works in the category of groups, for example.

13. In the following example, the lexical entry is associated with a lemma clergyman and two inflected forms clergyman and clergymen.

14. This we handle in Lemma 8, which Arithmetizes the low amortized free bits PCP of [12] (using principles taken from [8])

15. Corollary: It’s far easier to understand what a Corollary is than it is to understand what a theorem and a lemma are

16. A Corollary is a theorem that follows on from another theorem A Lemma is a small result (less important than a theorem)

17. The snake lemma is valid in every abelian category and is a crucial tool in homological algebra and its applications, for instance in algebraic topology.

18. Binegation is generally put in fourth position, but in putting it in third, I follow YAMAUCHI Tokury, Rogosu to renma (Logos and lemma), Tokyo, Iwanami, 1974

19. Kalm's Brome is distinguished by a 3-veined lower glume, 5-veined upper glume, and lemmas that are silky-hairy all across the surface with awns mostly less than 3 mm long

20. The proof that left Adjoints are right-exact, and that right Adjoints are left-exact, uses a small incarnation of Yoneda’s Lemma, and illustrates the importance of naturality of isomorphisms

21. Murray himself suggested that 75% of OED main lemmas might prove Antedatable, although he was confident that in most Medical Terminology 1 547- 1612 and the OED cases the time-span of the revisions would be small

22. We show an almost optimal effective version of Masser’s matrix lemma (Lecture Notes Math. 1290:109–148, 1987), giving a lower bound of the height of an abelian variety in terms of its period lattices.

23. For the formal proof, we require four elementary lemmata: If two triangles have two sides of the one equal to two sides of the other, each to each, and the angles included by those sides equal, then the triangles are congruent (side-angle-side).

24. Paul Garrett: Adjoints, naturality, exactness, small Yoneda lemma (October 24, 2014) Given a -module M, MI is a -module with a -module map j: MI!M through which every map N!Mfrom an I-null -module Nfactors

25. Lemma 11 (Kahrobaei [6]) Suppose [phi] : A [right arrow] B is an isomorphism between two groups A and B: Let C < A; and let D be the amalgamated product of A and B Amalgamating C with C[phi]: