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figurate
▪ I. figurate, ppl. a. and n. (ˈfɪgjʊəreɪt) [ad. L. figūrāt-us, pa. pple. of figūrāre to form, fashion, f. figūra figure.] A. ppl. a. † 1. Framed according to, or exemplifying, ‘figures’ of grammar or rhetoric. Obs.1530 Palsgr. 394 Auoyr course..for auoyr courouse, and many suche be figurate by sync...
Oxford English Dictionary
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Figurate erythema
Figurate erythema is a form of erythema that presents in a ring or an arc shape.
An example is erythema marginatum.
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Figurate number
Figurate numbers were a concern of the Pythagorean worldview. Figurate numbers have played a significant role in modern recreational mathematics.
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Gnomon (figure)
Building figurate numbers
Figurate numbers were a concern of Pythagorean mathematics, and Pythagoras is credited with the notion that these numbers are The gnomon is the piece which needs to be added to a figurate number to transform it to the next bigger one.
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How to write the proof for $|x|>a \implies x >a$ or $x<-a$ Can you please help me with the proof of this? I kwon this is for the properties of the absolute value, $|\cdot|$, but i can't figurate how get the "or". $|x...
The definition of the absolute value is $$|x|:=\begin{cases}x&x\ge 0\\\ or\\\ -x&xa\implies \begin{cases}x>a&x\ge 0\\\ or\\\ -x>a&xa\text{ or }x<-a.$$
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Dodecagonal number
A dodecagonal number is a figurate number that represents a dodecagon. See also
Polygonal number
Figurate number
Dodecagon
Figurate numbers
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Heptagonal number
A heptagonal number is a figurate number that is constructed by combining heptagons with ascending size. References
Figurate numbers
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Octahedral number
In number theory, an octahedral number is a figurate number that represents the number of spheres in an octahedron formed from close-packed spheres. References
External links
Figurate numbers
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Stella octangula number
In mathematics, a stella octangula number is a figurate number based on the stella octangula, of the form . References
External links
Figurate numbers
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Centered octagonal number
A centered octagonal number is a centered figurate number that represents an octagon with a dot in the center and all other dots surrounding the center See also
Octagonal number
References
Figurate numbers
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Dodecahedral number
A dodecahedral number is a figurate number that represents a dodecahedron. Properties
Generating Function
The ordinary generating function of the Dodecahedral numbers is
References
Figurate numbers
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Square pyramidal number
More generally, figurate numbers count the numbers of geometric points arranged in regular patterns within certain shapes. References
External links
Figurate numbers
Pyramids
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Icosahedral number
An icosahedral number is a figurate number that represents an icosahedron. References
Figurate numbers
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Centered heptagonal number
A centered heptagonal number is a centered figurate number that represents a heptagon with a dot in the center and all other dots surrounding the center Figurate numbers
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Centered decagonal number
A centered decagonal number is a centered figurate number that represents a decagon with a dot in the center and all other dots surrounding the center See also
[ordinary] decagonal number
References
Figurate numbers
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