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searching for Skew-symmetric matrix 19 found (76 total)

Parallel axis theorem (2,323 words) [view diff] exact match in snippet view article find links to article

position of particle Pi, i = 1, ..., n. Recall that [ri − S] is the skew-symmetric matrix that performs the cross product, [ r i − S ] y = ( r i − S ) × y

Skew-Hamiltonian matrix (311 words) [view diff] exact match in snippet view article find links to article

{\displaystyle A^{T}J=JA} , where J {\displaystyle J} is the skew-symmetric matrix defined as: J = [ 0 I n − I n 0 ] {\displaystyle

Moment of inertia (17,179 words) [view diff] exact match in snippet view article find links to article

multiplication by combining the first operand and the operator into a skew-symmetric matrix, [ b ] {\displaystyle \left[\mathbf {b} \right]} , constructed from

Tau function (integrable systems) (6,689 words) [view diff] no match in snippet view article

parametric integrals, and their derivatives; 5) the Pfaffian of a skew symmetric matrix (either finite or infinite dimensional) with entries similarly of

Gorenstein ring (1,664 words) [view diff] exact match in snippet view article find links to article

Gorenstein rings of codimension 3 in terms of the Pfaffians of a skew-symmetric matrix, by Buchsbaum and Eisenbud. In 2011, Miles Reid extended this structure

Precession (2,718 words) [view diff] exact match in snippet view article find links to article

}dt\right){\boldsymbol {R}}_{\text{old}}} for the skew-symmetric matrix [ω]×. The errors induced by finite time steps tend to increase the

Screw axis (2,103 words) [view diff] exact match in snippet view article find links to article

I + B ] , {\displaystyle [A]=[I-B]^{-1}[I+B],} where [B] is the skew-symmetric matrix constructed from Rodrigues' vector b = tan ⁡ ϕ 2 S , {\displaystyle

Poincaré disk model (4,060 words) [view diff] exact match in snippet view article find links to article

Levi-Civita connection, the connection forms are given by the unique skew-symmetric matrix of 1-forms ω {\displaystyle \omega } that is torsion-free, i.e.

Ginzburg–Landau theory (4,193 words) [view diff] exact match in snippet view article find links to article

{\displaystyle A_{\mu }} is an n × n {\displaystyle n\times n} skew-symmetric matrix. (See the article on the metric connection for additional articulation

Screw theory (4,410 words) [view diff] exact match in snippet view article find links to article

\\\mathbf {p} \times \mathbf {q} \end{Bmatrix}}.} The matrix [D] is the skew-symmetric matrix that performs the cross product operation, that is [D]y = d × y

Belinfante–Rosenfeld stress–energy tensor (2,553 words) [view diff] no match in snippet view article find links to article

{\displaystyle \theta ^{bc}(x)} is an arbitrary position-dependent skew symmetric matrix, we see that local Lorentz and rotation invariance both requires

Rigid body dynamics (5,761 words) [view diff] exact match in snippet view article find links to article

[I_{R}]=-\sum _{i=1}^{n}m_{i}[r_{i}-R][r_{i}-R],} where [ri − R] is the skew-symmetric matrix constructed from the vector ri − R. For the analysis of robotic

Method of quantum characteristics (3,908 words) [view diff] exact match in snippet view article find links to article

= − I k l . {\displaystyle \{\xi ^{k},\xi ^{l}\}=-I^{kl}.} The skew-symmetric matrix I k l {\displaystyle I^{kl}} , ‖ I ‖ = ‖ 0 − E n E n 0 ‖ , {\displaystyle

Polar coordinate system (6,702 words) [view diff] exact match in snippet view article find links to article

relative to this frame and the Levi-Civita connection is given by the skew-symmetric matrix of 1-forms ω i j = ( 0 − d θ d θ 0 ) {\displaystyle {\omega

Plücker coordinates (4,409 words) [view diff] no match in snippet view article find links to article

}&y_{i}\\x_{j}&y_{j}\end{vmatrix}}=x_{i}y_{j}-x_{j}y_{i}.} (the skew symmetric matrix whose elements are pij is also called the Plücker matrix ) This

Work (physics) (8,112 words) [view diff] no match in snippet view article

{d} }},} where ω is the angular velocity vector obtained from the skew symmetric matrix [ Ω ] = A ˙ A T , {\displaystyle [\Omega ]={\dot {A}}A^{\mathsf

Glossary of invariant theory (4,629 words) [view diff] exact match in snippet view article find links to article

543–548). Archaic. Pfaffian A square root of the determinant of a skew-symmetric matrix. pippian An old name for the Cayleyan. plagiogonal Related to or

Angular momentum (13,485 words) [view diff] exact match in snippet view article find links to article

R({\hat {n}},\theta )=e^{M\theta }} where M {\displaystyle M} is a skew-symmetric matrix and θ {\displaystyle \theta } is angle of rotation, we can express

Glossary of classical algebraic geometry (11,193 words) [view diff] no match in snippet view article find links to article

closed; see normal scheme. null-polarity A correlation given by a skew symmetric matrix. A null-polarity of the projective space of a vector space is essentially