§8 De Rham cohomology
... are closed as forms on U ⊂ M ). To check that dω = 0, we simply check that in local coordinates. Compared to that, the property of being exact is not a local one. It is necessary that a form σ such that dσ = ω is a form on the whole M , i.e., σ should be everywhere defined. We know that every exact ...
... are closed as forms on U ⊂ M ). To check that dω = 0, we simply check that in local coordinates. Compared to that, the property of being exact is not a local one. It is necessary that a form σ such that dσ = ω is a form on the whole M , i.e., σ should be everywhere defined. We know that every exact ...
AND PETER MICHAEL DOUBILET B.Sc., McGill University 1969)
... The set of all symmetric functions of homogeneous degree n is For each XA-n, define ...
... The set of all symmetric functions of homogeneous degree n is For each XA-n, define ...
Approximate nearest neighbors and the fast Johnson
... (p = 1, 2), called the Fast-Johnson-Lindenstraussdimensions while incurring a distortion of at most 1 + ε in Transform. The FJLT is faster than standard random protheir pairwise distances. To achieve this requires a dense jections and just as easy to implement. It is based upon k-by-d matrix; and so ...
... (p = 1, 2), called the Fast-Johnson-Lindenstraussdimensions while incurring a distortion of at most 1 + ε in Transform. The FJLT is faster than standard random protheir pairwise distances. To achieve this requires a dense jections and just as easy to implement. It is based upon k-by-d matrix; and so ...
mechanical vibrations - Anil V. Rao`s
... where p(t) = P (t)/m. Furthermore, it is common practice to define the quantities K/m and c/m as follows: ω2n ...
... where p(t) = P (t)/m. Furthermore, it is common practice to define the quantities K/m and c/m as follows: ω2n ...
Section 2: Discrete Time Markov Chains Contents
... Remark 2.5.1 In principle, any time-inhomogeneous Markov chain can be viewed as a timehomogeneous Markov chain. If (Xn : n ≥ 0) is time-inhomogeneous, then (Yn : n ≥ 0) is timehomogeneous, where Yn = (Xn , n); the Markov chain Y = (Yn :≥ 0) is called the space-time Markov chain. While the space-time ...
... Remark 2.5.1 In principle, any time-inhomogeneous Markov chain can be viewed as a timehomogeneous Markov chain. If (Xn : n ≥ 0) is time-inhomogeneous, then (Yn : n ≥ 0) is timehomogeneous, where Yn = (Xn , n); the Markov chain Y = (Yn :≥ 0) is called the space-time Markov chain. While the space-time ...
Perturbation Method in the Analysis of Manipulator Inertial
... mechanical vibrations can be induced during motion. Simultaneously, the accuracy with which the gripping device follows the given motion trajectory belongs to basic characteristics of its quantitative evaluation [6, 10, 12]. Errors in following the motion trajectory by the gripping device depend on ...
... mechanical vibrations can be induced during motion. Simultaneously, the accuracy with which the gripping device follows the given motion trajectory belongs to basic characteristics of its quantitative evaluation [6, 10, 12]. Errors in following the motion trajectory by the gripping device depend on ...