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cubical
cubical, a. (ˈkjuːbɪkəl) [f. prec. + -al1.] 1. Of or pertaining to a cube; of the form of a cube, cube-shaped. (Now more usual than cubic in this sense.) cubical powder = cube powder; see cube n.1 3.1592 R. D. Hypnerotomachia 70 b, In the lowest Cubicall Figure..were ingrauen Greeke letters. 1669 St...
Oxford English Dictionary
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Cubical atom
It was further developed in 1919 by Irving Langmuir as the cubical octet atom. Bonding in the cubical atom model
Single covalent bonds are formed when two atoms share an edge, as in structure C below.
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Cubical set
In topology, a branch of mathematics, a cubical set is a set-valued contravariant functor on the category of (various) n-cubes. See also
Simplicial presheaf
References
nLab, Cubical set.
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Cubical complex
In mathematics, a cubical complex (also called cubical set and Cartesian complex) is a set composed of points, line segments, squares, cubes, and their A set is a cubical complex (or cubical set) if it can be written as a union of elementary cubes (or possibly, is homeomorphic to such a set).
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John Lee : Cubical charts and cube in $\mathbb{R}^n$ What are the definitions of 1. cubical chart for a smooth manifold 2. cube in $\mathbb{R}^n$ I am reading John Lee's Introduction to Smooth Manifolds 2nd e...
"Cubical" is the adjective form of "cube," so a **_cubical chart_** is just a chart whose domain is a coordinate cube, or equivalently whose image is an A **_cubical chart_** is a coordinate chart $(U,\varphi)$, where $U$ is open in the manifold and $\varphi(U)$ is an open cube in $\mathbb R^n$.
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Cubical bipyramid
In 4-dimensional geometry, the cubical bipyramid is the direct sum of a cube and a segment, {4,3} + { }. A cubical bipyramid can be seen as two cubic pyramids augmented together at their base.
It is the dual of a octahedral prism.
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Can there be a cubical bubble? Although not physically perfect, a reasonable mathematical model for a bubble's shape is that it minimizes surface area subject to fixed volume. A single floating bubble is usually a sp...
Such a bubble is not actually cubical. See my answer on Quora.
!animation
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chain equivalence between cubical chain complex and simplicial chain complex I remember hearing before that for a topological space, the cubical chain complex and the simplicial chain complex are chain equivalent. Is ...
This equivalence was first proved in the classical paper Eilenberg, S., and Mac Lane, S., Acyclic models. Amer. J. Math. 75 (1953) 189–199. The method of acyclic models was extended from chain complexes to crossed complexes in Section 10.4 of the book Nonabelian Algebraic Topology. The advantage of ...
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Definition of singular cubical homology As we know , a continuous function $T : [0,1]^{n} \to X$ is called a singular $n$ cube in $X$ . Denote $Q_{n}$ is free abelian group with basis is the set of all singular $n$ cu...
In singular _cubical_ homology, degenerate cubes are cubes that are constant in one of the coordinates.
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Doubling the Sides of the Cube For the following question > > A cubical block of metal weighs 6 pounds.How much will another cube of the same metal weigh if its sides are twice as long ? Ans=48 Here is how I am solv...
HINT: 1. Write down the volume of a cube with edge length $x$. Think of an aquarium with all sides equal. 2. As 1. with length $2x$. 3. What's the ratio of the volumes? 4. How heavy is the larger cube?
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Given a cubical box lined with mirrors, determine the distance a beam of light travels before returning to its starting point > A cubical box with sides of length 7 has vertices at $(0, 0, 0 )$, $(7, 0, 0 )$, $(0, 7, ...
Note that the line equation coordinates is, with $u=[0 \ 1 \ 2 ]$ and $v=[1 \ 2 \ 2 ]$: $$ x_i=u_i+v_i\lambda $$ And the final point coordinates after $k_1,k_2,k_3$ reflections in each axis is: $$ y_i=14\lceil {k_i\over2}\rceil+(-1)^{k_i}u_i $$ Hence, solving: $$ 14\lceil {k_i\over2}\rceil+(-1)^{k_i...
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Tutte's 1947 proof and paper on a family of cubical graphs It is known that if a graph is connected, cubic, simple and $t$-transitive, then $t \le 5$. A proof is given in [Biggs, Algebraic Graph Theory, Chapter 18], a...
It is essentially the same. Richard Weiss produced shorter proofs later - there was a lot of work on $s$-arc regular and $s$-arc transitive graphs - but even these used the same basic strategy.
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Two fair cubical dice, find the values of $t$ Two fair cubical dice are thrown simultaneously and the scores multiplied. $P(n)$ denotes the probability that the number $n$ will be obtained. If $P(t)=\frac{1}{9}$, fi...
There are $36$ possible dice rolls, so there must be $4$ ways to obtain $t$ for $P(t)$ to be $\frac19$. In other words, $t$ is a number that can be written as a product of two numbers between $1$ and $6$ in exactly four ways. We can quickly see that the only such numbers are: $$t=12=2\cdot6=3\cdot4=...
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