ProphetesAI is thinking...
eight-square
Answers
MindMap
Loading...
Sources
eight-square
ˈeight-ˈsquare, a. Obs. exc. Naut. [f. eight + square, after the logically correct four-square; cf. three-square.] Having eight equal sides; in the form of a regular octagon, octagonal.1538 Leland Itin. II. 53 The work is 8-square. 1598 Hakluyt Voy. II. i. 104 It was eight square and very thicke. 16...
Oxford English Dictionary
prophetes.ai
Degen's eight-square identity
Comment: The proof of the eight-square identity is by algebraic evaluation. number
Latin square
External links
Degen's eight-square identity on MathWorld
The Degen–Graves–Cayley Eight-Square Identity
Pfister's 16-Square Identity
wikipedia.org
en.wikipedia.org
Eight-vertex model
Description
As with the ice-type models, the eight-vertex model is a square lattice model, where each state is a configuration of arrows at a vertex. The states of this model are spins on faces of a square lattice.
wikipedia.org
en.wikipedia.org
Question with eight eight numbers Suppose we have eight $8$ and we have to reach $1000$ with eight $8$. Use $+ \space \- \space \times \space \div \space \sqrt{} \space \cdots $ to reach $1000$. Please help me to find...
\begin{equation} \begin{split} 1000&=(8+8)\times 8\times \sqrt{8\times 8}-8-8-8\\\ &=8\times 8\times8\times\sqrt{\sqrt{8+8}}-8-8-8\\\ &=88\times 88\div 8+8\times \sqrt{8+8}\\\ \end{split} \end{equation} If allowed to use exponents, another solution is: $$1000=(8+(8+8)\div8)^{\sqrt{\sqrt{8+8}}+8\div8...
prophetes.ai
Eight Sights of Guangzhou
The Eight Views of Ram City, also known as the Eight Sights of Guangzhou is the collective name for various collections of the eight most famous tourist All eight sights were found outside the city walls.
wikipedia.org
en.wikipedia.org
Pieces of Eight (disambiguation)
Pieces of Eight may refer to
Pieces of Eight, an album by Styx 1978
Pieces of Eight (Don Ellis Octet album), live album recorded 1967, released 2006
Pieces plays presented in 1982-1983, by Tom Stoppard and 7 other dramatists
Pieces of Eight, shop on New Orleans Square Disneyland
Pieces of Eight: The Monetary
wikipedia.org
en.wikipedia.org
Proof that symmetries of a square form a group under composition I am curious if there is less wonky/wordy way to prove that the eight symmetries of the square form a group under composition than by checking each prop...
More generally, it is true that the set $S$ of symmetries of _any_ geometrical object form a group under the operation, "followed by". For it is clear that "$a$ followed by ($b$ followed by $c$)" is the same as "($a$ followed by $b$) followed by $c$"; it is clear that "do nothing" is in $S$, and tha...
prophetes.ai
Eight Grand Ministries
At the southern end, there was an office building of other general government agencies, next to Anmin Square (now Xinmin Square). , grassy Cultural Square in 1996.
wikipedia.org
en.wikipedia.org
How many different ways are there for eight men and five women to stand in a line so that no two women stand next to each other? How many different ways are there for eight men and five women to stand in a line so tha...
We can line up the eight men in $P(8, 8)$ ways. This creates nine spaces, seven between successive males and two at the ends of the row. $$\square M \square M \square M \square M \square M \square M \square M \square M \square$$ To ensure that the women are separated, we must place the five
prophetes.ai
Pfister's sixteen-square identity
There are also non-bilinear versions of Euler's four-square and Degen's eight-square identities. See also
Brahmagupta–Fibonacci identity
Euler's four-square identity
Degen's eight-square identity
Sedenions
References
External links
Pfister's
wikipedia.org
en.wikipedia.org
مقاطعة (الولايات المتحدة)
The five counties of رود آيلاند، the eight counties of كونيتيكت، and eight of the 14 counties of ماساتشوستس no longer have functional county governments The most populous county is مقاطعة لوس أنجلس، كاليفورنيا، with 9,962,789 residents in 2012, greater than all but eight U.S. states.
wikipedia.org
ar.wikipedia.org
After Eight
Thin Mints – The original After Eight product, these comprise square dark or (less commonly) milk chocolate, enclosing the mint fondant. Royal Mints – A product manufactured by Halloren very similar to After Eight.
wikipedia.org
en.wikipedia.org
拉格摇滚
Never Knows〉
奇想乐团:〈See My Friends〉(1965)和〈Fancy〉
雏鸟乐队:〈Heart Full of Soul〉(1965)和〈White Summer〉(1967)
交通乐团:〈〉(1967)
:〈The Mad Hatter's Song〉(1967)
:〈Square Room〉、〈Just On Conception〉和〈Black Widow Spider〉
飞鸟乐队:〈Eight Miles High〉(1966)、〈Why〉(1966)、〈Thoughts And Words〉、〈I See You〉、〈Mind Gardens〉和〈Moog Raga〉
wikipedia.org
zh.wikipedia.org
Euler's four-square identity
Quaternions are, so to say, the "square root" of the four-square identity. But let the proof go on:
Let and be a pair of quaternions. identity (sums of two squares)
Degen's eight-square identity
Pfister's sixteen-square identity
Latin square
References
External links
A Collection of
wikipedia.org
en.wikipedia.org
Carl Ferdinand Degen
to this problem, Degen's discovery of the eight-square identity was his most important and original discovery. Petersburg where Euler had worked, his eight-square identity of exactly the same structure as the two previous identities.
wikipedia.org
en.wikipedia.org