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The formula for the closest point to the origin may be expressed more succinctly using notation from linear algebra.The expression + + in the definition of a plane is a dot product (,,) (,,), and the expression + + appearing in the solution is the squared norm | (,,) |.
A turning point of a differentiable function is a point at which the derivative has an isolated zero and changes sign at the point. [2] A turning point may be either a relative maximum or a relative minimum (also known as local minimum and maximum). A turning point is thus a stationary point, but not all stationary points are turning points.
Microsoft MapPoint is a discontinued [1] [2] [3] software program and service created by Microsoft that allows users to view, edit and integrate maps. The software and technology are designed to facilitate the geographical visualization and analysis of either included data or custom data.
By virtue of the linearity property of optical non-coherent imaging systems, i.e., . Image(Object 1 + Object 2) = Image(Object 1) + Image(Object 2). the image of an object in a microscope or telescope as a non-coherent imaging system can be computed by expressing the object-plane field as a weighted sum of 2D impulse functions, and then expressing the image plane field as a weighted sum of the ...
The point biserial correlation coefficient (r pb) is a correlation coefficient used when one variable (e.g. Y) is dichotomous; Y can either be "naturally" dichotomous, like whether a coin lands heads or tails, or an artificially dichotomized variable.
Let t denote the fraction of progress (from 0 to 1) the point B(t) has made along its traversal from P 0 to P 1. For example, when t=0.25, B(t) is one quarter of the way from point P 0 to P 1. As t varies from 0 to 1, B(t) draws a line from P 0 to P 1.
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