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1.5 METHODS OF PROOF
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... earth, and that implies that she will marry me. I’ll keep on trying. ...
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... In a certain sense, features (2) and (3) are consequences of (1). Kreisel wished to explain the logical operations in a reductive way, without having to use these same operations in the explanations. His unproblematic propositions were, as we saw above, quantifier-free general identities for which t ...
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... by looking at the eigenvalues of the second moment matrix • The eigenvectors and eigenvalues of M relate to edge direction and magnitude • The eigenvector associated with the larger eigenvalue points in the direction of fastest intensity change, and the other eigenvector is orthogonal to it ...
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... deliberately avoid more than passing reference to mathematical examples “Orange is closer to red than to blue.” That is a statement about colours, not about the particular things that have the colours — or if it is about the things, it is only about them in respect of their colour : orange things ar ...
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... Def: The convex hull/convex envelope of XRMN is the minimal convex set containing X. (Informally it can be described as a rubber band wrapped around the data points.) Finding the convex hull is solvable in linear time, O(N) (McCallum and D. Avis, 1979) However, the size of the convex set grows exp ...
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... Mathematical & mechanical Method in Mechanical Engineering Piola-Kirchhoff stress tensor The first Piola-Kirchhoff stress tensor, denoted s Mj, represents the force acting on an element of surface in the deformed configuration but measured per unitundeformed area. The first index is written in uppe ...
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Mathematical physics



Mathematical physics refers to development of mathematical methods for application to problems in physics. The Journal of Mathematical Physics defines the field as ""the application of mathematics to problems in physics and the development of mathematical methods suitable for such applications and for the formulation of physical theories"". It is a branch of applied mathematics.
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