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...uently forms the basis of problems in [[mathematics competition]]s.{{r|mgc|crux|engel}} ...'s identity in mathematics competitions come from this corollary of it.{{r|crux|engel}} ...

...eksander Simonic (November 2012) "On a Problem Concerning Two Conics", ''[[Crux Mathematicorum]]'', volume 38(9): 372–377 ...

...s://bridge-project.org/implementing-bridge/bridge-methodology/ BRIDGE] and CRUX approaches to support verbal presentation with a one-page handout and a for == Workshop Crux Analysis Approach == ...

...{cite journal|title = Stars having peculiar spectra. New variable Stars in Crux and Cygnus.|first = E. C.|last = Pickering|authorlink = Edward Charles Pick ...

...wata |author3=Hidetosi Fukagawa |title=Problem 1091 and Solution|journal=[[Crux Mathematicorum]]|year=1987|volume=13|pages=217–218}}</ref> ...

| journal = [[Crux Mathematicorum]] | url = https://cms.math.ca/wp-content/uploads/crux-pdfs/CRUXv35n6.pdf ...

...ar0268>Harman (2002) p.&nbsp;68</ref> The [[converse implication]] is the crux of the conjecture.<ref name=Mon204/> ...

* The crux of Finite volume method is to integrate the governing equation over each co ...

Another inequality for the area is<ref name=Crux>Inequalities proposed in ''[[Crux Mathematicorum]]'', 2007.[http://hydra.nat.uni-magdeburg.de/math4u/ineq.pdf :<math>2\sqrt{K} \leq s \leq r+ \sqrt{r^2+4R^2}; </math><ref name=Crux />{{rp|p.39,#1203}} ...

...'', ''b'', and ''c'' we have<ref name="Crux">''Inequalities proposed in “[[Crux Mathematicorum]]”'', [http://www.imomath.com/othercomp/Journ/ineq.pdf].</re ...ub> is the altitude from vertex ''C'', then for an acute triangle<ref name=Crux/>{{rp|p.135,#3109}} ...

...f visual input, possibly the edges of a picture frame. This highlights the crux of the neural decoding hypothesis: that it is possible to reconstruct a sti ...is [[neural coding]] and decoding loop is a symbiotic relationship and the crux of the brain's learning algorithm. Furthermore, the processes that underlie ...

...≃ ''S''¹. So it only remains to verify the axioms 2 and 4. The crux of this undertaking will be the first point. This is where [[quasifibration ...

...[http://dongthapvietnam.informe.com/blog/uploads/2012/10/cruxv25_1999.pdf "CRUX, Problem 2331, Solution"] {{Webarchive|url=https://web.archive.org/web/2017 ...

| [[Crux]] | [[Crux]] ...

The crux of the proof has become known as ''Elliott's intertwining argument''. Given ...

...following inequality holds:<ref name="Crux">''Inequalities proposed in “[[Crux Mathematicorum]]”'', [http://www.imomath.com/othercomp/Journ/ineq.pdf].</re ...

...-9600-8}}</ref> Both the sectors co-exist in the economy, wherein lies the crux of the development problem. Development can be brought about only by a comp ...

...p. 203–4</ref><ref>G. Salvatore and T. Shima, "Of coconuts and integrity," Crux Mathematicorum, 4 (1978) 182–185</ref> ...

The crux of the method lies in iterative application of the [[upwind scheme]]. The f ...

The crux of ''Perceptrons'' is a number of [[mathematical proofs]] which acknowledge ...