Find the equation for the normal line to the curve y = ln \frac{2x-1}{1+x^2} at x = 2. Find an equation of the normal line to the curve [{MathJax fullWidth='false' x^2\sqrt y-2 = y^2-3x+1 }] at [{MathJax fullWidth='false' (2,3) }] ...
To find the gradient of the line take any two points on the line (x1, y1) and (x2, y2). The gradient=change in ychange in x=y2−y1x2−x1 Example 2.1 Find the gradient of the lines given in Figure 2.2(a)–(c) and the equation for the line in each case. Sig...
The intercept is simply the (vertical) value for Y when X is zero. In cases where it is absurd for X to be zero, the intercept should be viewed as a technical necessity for specifying the line and should not be interpreted directly.14 The equation for a straight line is as follows: ...
The equation for FSIMc typically looks something like this: $$\begin{aligned} FSIMc(X, Y) = \frac{\sum _{x=1}^{M} \sum _{y=1}^{N} PC_m(x,y) \cdot GM_m(x,y) \cdot max\{S_l(x,y), S_r(x,y)\}}{\sum _{x=1}^{M} \sum _{y=1}^{N} PC_m(x,y) \cdot...
Like the Otsu method, the entropy-based method can be modulated for MTH values. In this case, it is necessary to separate an image into n groups using a similar number of thresholds. The equation below can define the new objective function: $$\begin{aligned} F_{kapur}(TH) =\sum _{i...
OSPRay can directly render planes defined by plane equation coefficients in its implicit form a x + b y + c z + d = 0 . By default planes are infinite but their extents can be limited by defining optional bounding boxes. A planes geometry can be created by calling ospNewGeometry with ...
Furthermore, the Young’s modulus parameter can no longer be neglected, and the thin plate equation, as well as the wave dispersion relation, will be more complicated. However, in this study, we made progress in two main areas. First, we discussed the wavenumber variation that may lead to...
use a graphing to tool to plot it---to help visualize. Use any number for aUpvote • 0 Downvote Add comment Still looking for help? Get the right answer, fast. Ask a question for free Get a free answer to a quick problem. Most questions answered within 4 h...
For example, in the solution of the equation of state, the positive real root is the one of interest. In any case, the physical constraints of the problem may dictate the feasible region of search where only a subset of the total number of roots may be indicated. Also, the physical ...
In specific terms, for the flow of an electric current through a conducting medium, equation (2.1) takes the form: (2.2)l=σaVl where I is the current in amperes (A), σ is the conductivity of the medium (siemens/m), i.e. the field characteristic, a is the cross-sectional area of...