analytically and numerically that multipole sources are divided into two groups according to this principle: in the first group, the sound pressure field and the horizontal projections of the vibration velocity vectors satisfy the reciprocity principle, while the vertical projections of these vectors do...
however, it has not been used to analyze aeromaneuvers, with a focus on aerocapture, which is useful for future interplanetary flights. For example, the PI could be applied to quantify the contribution of the aerodynamic forces during a final approach in planets like Venus, Mars, and Jupiter,...
vectors_set = rand(5,3);%向量集合中的每一行是一个向量,一共含有5个向量dist = pdist(vectors_set,'euclidean');%使用欧式距离计算向量之间的距离dist = squareform(dist);%还原回矩阵的形式dist = sum(dist,2);%求出每个向量到其他所有向量的距离和indx = find(dist==min(dist));%找到距离和最小的...
is to turn the unprocessed input signal into a representation with minimal variables, which contains the most discriminating information and which can adequately reduce the input’s dimensionality and eliminate redundant or irrelevant information, in order to produce the series of feature vectors. With...
One bullet will have direction î and the other will have direction - î since they are moving in the same horizontal plane toward each other. As in the last problem, we first draw a sketch. Let's start with the conservation of momentum. The velocity right after the collision is ...
(4) X = Y1× Y2×…×Yn represents a set of vectors xi (every possible alternative: real alternatives + supposed alternatives) such that xi = (xi1; xi2;…; xiQ), and xi∈ X, xip∈ Yp and Q = |X|, such that . (5) B = {bi}∈ X, i = 1, 2, … , ...
For a general linearized system, frequency and wavevectors that satisfy the dispersion relation |D(ω,γ;k)|=0 describe the system's normal mode response to an initial perturbation; ω and γ are the real and imaginary components of the frequency, and k is the wavevector. Normal modes with...
If a particular part of a particular layer 60 is to form a boundary of a void in the object above or below that layer 60, then the laser beam 28 is scanned in a series of closely-spaced, parallel vectors so as to develop a continuous surface, or skin, with improved strength and ...
The approach involves a discretization of the contact lines in the plane of action assuming an unperturbed quasi-static gear meshing state to obtain the effective mesh excitation and position vectors. This mesh formulation forms the basis for a three-dimensional multiple-degrees-of-freedom (d.o.f...
The best results are obtained when the POD analysis is applied to a 2D plane perpendicular to the axis of rotation of the vortices. Moreover, a brief discussion is provided about the differences between POD analysis performed using a covariance matrix containing the three velocity vectors and ...