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  2. Romberg's method - Wikipedia

    en.wikipedia.org/wiki/Romberg's_method

    In numerical analysis, Romberg's method [1] is used to estimate the definite integral by applying Richardson extrapolation [2] repeatedly on the trapezium rule or the rectangle rule (midpoint rule). The estimates generate a triangular array .

  3. Resultant - Wikipedia

    en.wikipedia.org/wiki/Resultant

    The resultant is also defined for two homogeneous polynomial in two indeterminates. Given two homogeneous polynomials P(x, y) and Q(x, y) of respective total degrees p and q, their homogeneous resultant is the determinant of the matrix over the monomial basis of the linear map (,) +, where A runs over the bivariate homogeneous polynomials of ...

  4. Triple product - Wikipedia

    en.wikipedia.org/wiki/Triple_product

    In exterior algebra and geometric algebra the exterior product of two vectors is a bivector, while the exterior product of three vectors is a trivector. A bivector is an oriented plane element and a trivector is an oriented volume element, in the same way that a vector is an oriented line element. Given vectors a, b and c, the product

  5. Vector projection - Wikipedia

    en.wikipedia.org/wiki/Vector_projection

    The vector projection (also known as the vector component or vector resolution) of a vector a on (or onto) a nonzero vector b is the orthogonal projection of a onto a straight line parallel to b. The projection of a onto b is often written as proj b ⁡ a {\displaystyle \operatorname {proj} _{\mathbf {b} }\mathbf {a} } or a ∥ b .

  6. Euclidean vector - Wikipedia

    en.wikipedia.org/wiki/Euclidean_vector

    The resulting vector is sometimes called the resultant vector of a and b. The addition may be represented graphically by placing the tail of the arrow b at the head of the arrow a, and then drawing an arrow from the tail of a to the head of b. The new arrow drawn represents the vector a + b, as illustrated below: [7] The addition of two vectors ...

  7. Bilinear interpolation - Wikipedia

    en.wikipedia.org/wiki/Bilinear_interpolation

    In mathematics, bilinear interpolation is a method for interpolating functions of two variables (e.g., x and y) using repeated linear interpolation. It is usually applied to functions sampled on a 2D rectilinear grid, though it can be generalized to functions defined on the vertices of (a mesh of) arbitrary convex quadrilaterals.

  8. Convex combination - Wikipedia

    en.wikipedia.org/wiki/Convex_combination

    A conical combination is a linear combination with nonnegative coefficients. When a point is to be used as the reference origin for defining displacement vectors, then is a convex combination of points ,, …, if and only if the zero displacement is a non-trivial conical combination of their respective displacement vectors relative to .

  9. Screw theory - Wikipedia

    en.wikipedia.org/wiki/Screw_theory

    The vector V = v + d × ω is the velocity of the point in the body that corresponds with the origin of the fixed frame. There are two important special cases: (i) when d is constant, that is v = 0, then the twist is a pure rotation about a line, then the twist is