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searching for Does Not Commute 39 found (44 total)

Paul Monsky (283 words) [view diff] case mismatch in snippet view article find links to article

Monsky and Holger Brenner gave an example showing that tight closure does not commute with localization. The first proof of Monsky's theorem, published in

Moore determinant of a Hermitian matrix (227 words) [view diff] case mismatch in snippet view article find links to article

algebra, introduced by Moore (1922). Because quaterion multiplication does not commute, it is necessary to specify the order in which multiplication occurs

Squeeze operator (1,103 words) [view diff] case mismatch in snippet view article find links to article

states and produce squeezed coherent states. The squeezing operator does not commute with the displacement operator: S ^ ( z ) D ^ ( α ) ≠ D ^ ( α ) S ^

Quantum limit (2,576 words) [view diff] case mismatch in snippet view article find links to article

measurement of a quantum mechanical observable of a system under study that does not commute with itself at different times leads to such limits. In short, it is

Natural transformation (5,663 words) [view diff] case mismatch in snippet view article find links to article

giving an automorphism A : X → X {\displaystyle A\colon X\to X} that does not commute with this isomorphism (so η ∘ A ≠ G ( A ) ∘ η {\displaystyle \eta \circ

Interior (topology) (2,257 words) [view diff] case mismatch in snippet view article

complements in X . {\displaystyle X.} In general, the interior operator does not commute with unions. However, in a complete metric space the following result

Virtual particle (2,947 words) [view diff] case mismatch in snippet view article find links to article

called ladder operators). In many cases, the particle number operator does not commute with the Hamiltonian for the system. This implies the number of particles

Geometric calculus (3,338 words) [view diff] case mismatch in snippet view article find links to article

e_{i}).} Importantly, on a general manifold, the covariant derivative does not commute. In particular, the commutator is related to the shape tensor by [

Tight closure (469 words) [view diff] case mismatch in snippet view article find links to article

tightly closed? Brenner, Holger; Monsky, Paul (2010), "Tight closure does not commute with localization", Annals of Mathematics, Second Series, 171 (1):

Del (3,919 words) [view diff] case mismatch in snippet view article find links to article

identities mnemonic, the reverse is not necessarily reliable, because del does not commute in general. A counterexample that demonstrates the divergence ( ∇ ⋅

Good quantum number (1,409 words) [view diff] case mismatch in snippet view article find links to article

Hamiltonian with this new Δ H SO {\displaystyle \Delta H_{\text{SO}}} term does not commute with L {\displaystyle {\boldsymbol {L}}} and S {\displaystyle {\boldsymbol

Washington State Department of Corrections (4,370 words) [view diff] case mismatch in snippet view article find links to article

governor's desk for action, he will issue a reprieve. However, this action does not commute the sentences of those on death row or issue any pardons. The majority

Standard deviation (8,233 words) [view diff] case mismatch in snippet view article find links to article

reintroduces bias (because the square root is a nonlinear function which does not commute with the expectation, i.e. often E [ X ] ≠ E [ X ] {\textstyle E[{\sqrt

Quantum annealing (3,406 words) [view diff] case mismatch in snippet view article find links to article

approaches). The tunneling field is basically a kinetic energy term that does not commute with the classical potential energy part of the original glass. The

Closure (topology) (4,287 words) [view diff] case mismatch in snippet view article

complements in X . {\displaystyle X.} In general, the closure operator does not commute with intersections. However, in a complete metric space the following

Apple Design Awards (553 words) [view diff] exact match in snippet view article find links to article

Whale Pty Ltd. Fantastical 2 Flexibits Inc. Workflow DeskConnect, Inc. Does Not Commute Mediocre AB Vainglory Super Evil Megacorp Pacemaker Pacemaker Music

Parity (physics) (5,164 words) [view diff] case mismatch in snippet view article

complete electromagnetic Hamiltonian of a centrosymmetric molecule does not commute with the point group inversion operation i because of the effect of

Deuterium (8,807 words) [view diff] case mismatch in snippet view article find links to article

= 0 and the l = 2 states, because the electric quadrupole operator does not commute with angular momentum. The latter contribution is dominant in the absence

Configuration state function (1,690 words) [view diff] case mismatch in snippet view article find links to article

{S}}_{z}} In linear molecules, L ^ 2 {\displaystyle {\hat {L}}^{2}} does not commute with the Hamiltonian for the system and therefore CSFs are not eigenstates

Partition function (mathematics) (3,384 words) [view diff] case mismatch in snippet view article

symmetry; if commutes, it is said to be an invariant measure. When it does not commute, the symmetry is said to be spontaneously broken. Conditions under

Atiyah–Singer index theorem (7,553 words) [view diff] case mismatch in snippet view article find links to article

defined even though ∂ / ∂ x i {\displaystyle \partial /\partial x_{i}} does not commute with x i {\displaystyle x_{i}} because we keep only the highest order

Compound matrix (2,301 words) [view diff] case mismatch in snippet view article find links to article

J(C_{n-r}(SAS))^{T}J=(\det A)I_{\binom {n}{r}}.} Taking adjugates and compounds does not commute. However, compounds of adjugates can be expressed using adjugates of

Étale cohomology (5,016 words) [view diff] case mismatch in snippet view article find links to article

finite coefficients Z/ℓkZ. (There is a notorious trap here: cohomology does not commute with taking inverse limits, and the ℓ-adic cohomology group, defined

Mathematical formulation of quantum mechanics (8,107 words) [view diff] case mismatch in snippet view article find links to article

g. H = H0 + V, in the interaction picture it does, at least, if V does not commute with H0, since H i n t ( t ) ≡ e ( i / ℏ ) t H 0 V e ( − i / ℏ ) t

Matrix mechanics (10,615 words) [view diff] case mismatch in snippet view article find links to article

for many other pairs of observables as well. For example, the energy does not commute with the position either, so it is impossible to precisely determine

Dihydrogen cation (3,636 words) [view diff] case mismatch in snippet view article find links to article

complete Hamiltonian of H+ 2 (as for all centrosymmetric molecules) does not commute with the point group inversion operation i because of the effect of

Belavkin equation (3,349 words) [view diff] case mismatch in snippet view article find links to article

noise of intensity ( ℏ λ ) 2 {\displaystyle (\hbar \lambda )^{2}} that does not commute with the error e ( t ) {\displaystyle e(t)} . The result of such a

History of Connecticut (11,607 words) [view diff] case mismatch in snippet view article find links to article

Controversy exists both in that the legislation is not retroactive and does not commute their sentences and that the repeal is against the majority view of

Fuel economy in automobiles (10,101 words) [view diff] case mismatch in snippet view article find links to article

– only ratios are (in mathematical terms, the reciprocal function does not commute with addition and subtraction; in general, a difference in reciprocal

Loop quantum gravity (16,616 words) [view diff] case mismatch in snippet view article find links to article

self-adjoint, in fact it is not even a normal operator (i.e. the operator does not commute with its adjoint) and so the spectral theorem cannot be used to define

Classical group (7,794 words) [view diff] case mismatch in snippet view article find links to article

The quaternions, H, do not constitute a field because multiplication does not commute; they form a division ring or a skew field or non-commutative field

Dynamical pictures (3,911 words) [view diff] case mismatch in snippet view article find links to article

g. H = H0 + V, in the interaction picture it does, at least, if V does not commute with H0, since H i n t ( t ) ≡ e ( i / ℏ ) t H 0 V e ( − i / ℏ ) t

Newtonian motivations for general relativity (2,945 words) [view diff] case mismatch in snippet view article find links to article

time dependent. If the rotation matrix is time dependent, then it does not commute with the time derivative. In that case, the rotation of the separation

Parallel (operator) (6,712 words) [view diff] case mismatch in snippet view article

\parallel a} _{n{\text{ times}}})=a.} Unlike for repeated addition, this does not commute: a b ≠ b a implies a ∥ a ∥ ⋯ ∥ a ⏟ b times ≠ b ∥ b ∥ ⋯ ∥ b ⏟ a times

Glossary of algebraic geometry (12,496 words) [view diff] case mismatch in snippet view article find links to article

)=g(\beta )\circ \psi } . The resulting square with obvious projections does not commute; rather, it commutes up to natural isomorphism; i.e., it 2-commutes

Tensor product of modules (8,471 words) [view diff] case mismatch in snippet view article find links to article

be used to compute tensor products. The tensor product, in general, does not commute with inverse limit: on the one hand, Q ⊗ Z Z / p n = 0 {\displaystyle

Prestack (4,266 words) [view diff] case mismatch in snippet view article find links to article

The meaning of this is the following. Firstly, the obvious square does not commute; instead, for each object ( x , y , ψ ) {\displaystyle (x,y,\psi )}

NM-method (5,368 words) [view diff] case mismatch in snippet view article find links to article

for the applicability of the IPF. Finally, unlike the NM, the IPF does not commute with the operation of merging neighboring categories of the row variable

Symmetry of diatomic molecules (7,820 words) [view diff] case mismatch in snippet view article find links to article

homonuclear diatomic molecule (as for all centro-symmetric molecules) does not commute with the point group inversion operation i because of the effect of