Search results

...ite distortion at a point ''x'' ∈ Ω if ''ƒ'' is in the [[Sobolev space]] W{{su|p=1,1|b=loc}}(Ω, '''R'''²), the [[Jacobian matrix a For functions on a higher-dimensional [[Euclidean space]] '''R'''^''n'', there are more measures of distortion because th ...

...nce between the [[atomic nucleus|nuclei]] of [[atom]]s in a material. This space is extremely large compared to the [[nuclear size|size]] of the [[atomic nu ...in very low density gases (for example, in [[outer space#Environment|outer space]]) the average distance between atoms can be as large as a [[meter]]. In th ...

...Terminated with Space Cloth.png|thumb|300px|Coaxial cable terminated with space cloth (green).]] ...e TEM mode in a transmission line consisting of perfect conductors in free space.<ref>Waves, Berkeley Physics Course Volume 3, p. 230</ref> }} The calculat ...

...i\in \operatorname{Aut}(F_n)</math> is called ''fully irreducible'' if the outer automorphism class <math>\varphi\in \operatorname{Out}(F_n)</math> of <math ...of being fully irreducible grew out of an older notion of an "irreducible" outer automorphism of <math>F_n</math> originally introduced in.<ref name=BH92/> ...

...ed with a [[Borel measure]], μ, that is finite on every [[compact set]], [[outer regular]], and [[Tightness of measures|tight]] when restricted to any Borel ...

...paces include the [[Hardy space]]s, the [[Bergman space]]s and [[Dirichlet space]]. (1 ≤ ''p'' < ∞) and the Dirichlet space <math> \mathcal{D}(D)</math>. ...

...equired to use a 9D [[vector space]], as compared to the smaller 5D vector space of CGA. A 5D CGA subspace can be used when only CGA entities are involved i ...outermorphism|outermorphisms]] to rotate dual Geometric Outer Product Null Space (GOPNS) entities. To rotate a QGA point, it must be projected to a vector o ...

...in [[computer science]] such as in the construction of [[small-bias sample space]]s. ...Justesen code can be constructed very efficiently using only [[logarithmic space]]. ...

...used to determine the [[heat transfer coefficient]] for both the inner and outer streams; given their diameters and velocities (or flow rates). For conditio ...ip simplifies to the difference between the diameters of the shell and the outer surface of the inner tube. ...

{{Portal bar|Astronomy|Stars|Spaceflight|Outer space|Solar System}} ...

...eans that on each axis there is an inner and an outer vertex. The ratio of outer to inner [[circumsphere|vertex radius]] is <math>\varphi \approx 1.618</mat It is topologically equivalent to a quotient space of the [[hyperbolic geometry|hyperbolic]] [[order-5 square tiling]], by dis ...

...s case it is a [[Alexandroff extension|one-point compactification]]). This space denoted <math> \hat{\mathbb C} </math> is [[isomorphism|isomorphic]] to the ...fty) </math> (centered at 0, with inner radius <math>R</math> and infinite outer radius), the '''residue at infinity''' of the function ''f'' can be defined ...

...te-force search (which requires time polynomial in the size of the message space). ...

...another [[Euclidean vector|vector]]. The cross product of two vectors in 3-space is defined as the vector perpendicular to the plane determined by the two v ...</math> and <math>\mathbf{b}</math>) but generalizes to arbitrary [[affine space]]s and products between more than two vectors. ...

|publisher=Goddard Space Flight Center, NASA {{2017 in space}} ...

...e [[Centroid|average]] (or barycenter) of its neighbors' positions. If the outer polygon is fixed, this condition on the interior vertices determines their [[File:Tutte cube.svg|thumb|Tutte embedding of the graph of a cube. The outer four vertices are fixed at the corners of a [[:en:Unit square|unit square]] ...

...arious arc springs and arc spring systems (systems consisting of inner and outer arc springs).<ref>{{Cite web|title=Arc springs - Brandgroup - Website|url=h ...o make optimum use of the available space, systems consisting of inner and outer arc springs are often used. ...

...e the curve complex, the free factor complex is known to be [[δ-hyperbolic space|Gromov-hyperbolic]]. The free factor complex plays a significant role in th ...l F_n^{(1)}</math>, equipped with the simplicial metric, is [[δ-hyperbolic space|Gromov-hyperbolic]]. This result was originally established by [[Mladen Bes ...

...ts neighbors. A convex embedding into <math>d</math>-dimensional Euclidean space is said to be in [[general position]] if every subset <math>S</math> of its ...dings were introduced by [[W. T. Tutte]] in 1963. Tutte showed that if the outer face <math>F</math> of a [[planar graph]] is fixed to the shape of a given ...

===Outer products=== The outer product of two states {{ket|''j''₁, ''m''₁}} and {{ke ...