«HODOGRAPHIC»に関連する英語の本
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1
Shape Preserving Representations in Computer-aided Geometric ...
+ XNY(tN) \ Xu . . . , \N > 0, tu . . . , hi C [a, bl; N e N} also known as the
hodographic hull. The hodographic hull of Ci curves contains all tangent
directions but it also contains all the directions formed by joining any two points of
the curve and ...
2
Lectures on Fluid Dynamics: A Particle Theorist's View of ...
There is another derivation of the Chaplygin gas from the Nambu-Goto action that
makes use of a hodographic transformation, in which independent and
dependent variables are interchanged. Although the derivation is more involved
than the ...
3
Elements of Quaternions
the hodographic axis, HL ; so that, for these two pairs of points, in which the two
circular hodographs, with a common chord mm', are cut by a common orthogonal
with r for centre, the four potentials are directly proportional to the four ...
Sir William Rowan Hamilton, William Edwin Hamilton, 1866
4
Proceedings of the Royal Irish Academy (1841)
In this case of a closed orbit, the positive constant, which is thus equal to the
product of the segments of a hodographic chord, or the constant product of any
two opposite velocities of the body, is easily seen, by the foregoing principles, to
be ...
5
Elliptic Partial Differential Equations and Quasiconformal ...
One of the most remarkable and useful techniques developed for the study of
nonlinear equations is the hodographic transformation. While the idea seems to
go back at least to Gauss, its utility in this area is amply demonstrated in the work
of ...
Kari Astala, Tadeusz Iwaniec, Gaven Martin, 2008
6
The Mathematical Paper of Sir William Rowan Hamilton
The point on the hodograph which is the termination of any one vector of velocity
may be called the hodographic representative of the moving body, and the
foregoing principles show, that with a central force varying as the inverse square
of ...
The loading/unloading boundary will be represented in the hodographic plane by
the curve (3.7), in which the strain is replaced by the stress using the constitutive
equation ,, I _¢(a)_ (4.10) There is a one-to-one correspondence between the ...
8
Cyclic Separating Reactors
... 74 design using triangle diagrams, 114–6 discontinuities, 69 conditions for
internal, 72 locations of, 71 equivalence relations with SCMCR, 107–8
hodographic transform, 72 hodographic plot, 75–6 internal discontinuities, 72
importance of, ...
Takashi Aida, Peter L. Silveston, 2008
9
Mathematical Methods in Physics and Engineering with Mathematica
(3.4.39) The potential condition curlv = 0 reads uy-vx= 0. (3.4.40) Now the
solution of the equations (3.4.39) and (3.4.40) shall not be searched for as u(x,y),
v(x,y), but in hodographic form x(u,v),y(u,v) in the velocity plane. Such a
hodographic ...
10
Inverse Problems in Differential Equations
The treatment of the nonlinear system (18) is simplified considering as new
variables the velocity components uu u2 or some other coordinates in the
hodographic plane, say, the polar coordinate q and & (see Fig. 6.3), and q(x) = q0
on the free ...
