Write out the algebraic equation for the sphere. (b) Write out a vector equation for the sphere. ANS. (a) (x−x1)2+(y−y1)2+(z−z1)2=a2 (b) r = r1 + a, where a takes on all directions but has a fixed magnitude a. 1.7.4 Hubble's law. Hubble found that distant ga...
(7.57) provides enough information to solve for B, leading to a formula known as Ampère’s law. Thus, consider a wire placed along the z-axis of a Cartesian system, with a total current I flowing through it in the +z direction. The current could be thought of as a current density ...
Before we prove Stokes' theorem, we have to learnDirection Cosinefirst. For a vectorvin three-dimensional space, we defineαto be the cosine of the angle between v and the positive x-axis,βto be the cosine of the angle between v and the positive y-axis, andγto be the cosine of th...
By observing Figure 2c, it can be found that the change trend of the absolute error is: viewed from the x-axis, it is symmetrically distributed. From the perspective of the t-axis, the absolute error fluctuates less and is relatively stable in the range of t ∈ [ 0 , 0.9 ] and ...
What is the equation for a vertical line? The slope is undefined ... and where does it cross the Y-Axis? In fact, this is a special case, and we use a different equation, not "y=...", but instead we use "x=...". Like this: x = 1.5 Every point on the line has x coordi...
Important components of a parabola include the vertex, focus, axis of symmetry, latus rectum, and directrix. See Figure 1 for a diagram of these traits. View Video Only Save Timeline Video Quiz Course 133Kviews How to Write an Equation for a Parabola ...
where k is the slope of the line and b is the y-intercept. Slope of the line is equal to the tangent of the angle between this line and the positive direction of the x-axis. The y-coordinate is the location where line crosses the y-axis. k = tg φEquation...
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A Boundary Integral Equation Method of the Axisymmetic Problem of an External Circular Crack 来自 知网 喜欢 0 阅读量: 30 作者: Y Wang 摘要: The axisymmetric problem of an external circular crack in a threedi-mensional infinite elastic body and under the unsymmetric loads is investi-gated ...
Morkovin (1962) highlighted the vorticity-entropy modal composition of the fluctuation field for supersonic boundary layer flows. A good illustration of the interaction of such an upstream disturbance field with a shock is shown in Fig. 7.1. The undistorted shock is aligned along the y-axis and...