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  2. Help:Displaying a formula - Wikipedia

    en.wikipedia.org/wiki/Help:Displaying_a_formula

    This screenshot shows the formula E = mc 2 being edited using VisualEditor.The window is opened by typing "<math>" in VisualEditor. The visual editor shows a button that allows to choose one of three offered modes to display a formula.

  3. Divergence - Wikipedia

    en.wikipedia.org/wiki/Divergence

    The result, div F, is a scalar function of x. Since this definition is coordinate-free, it shows that the divergence is the same in any coordinate system . However the above definition is not often used practically to calculate divergence; when the vector field is given in a coordinate system the coordinate definitions below are much simpler to ...

  4. Difference of two squares - Wikipedia

    en.wikipedia.org/wiki/Difference_of_two_squares

    This is a method for removing surds from expressions (or at least moving them), applying to division by some combinations involving square roots. For example: The denominator of 5 3 + 4 {\displaystyle {\dfrac {5}{{\sqrt {3}}+4}}} can be rationalised as follows:

  5. Frobenius theorem (real division algebras) - Wikipedia

    en.wikipedia.org/wiki/Frobenius_theorem_(real...

    If k > 2, then D cannot be a division algebra. Assume that k > 2. Define u = e 1 e 2 e k and consider u 2 =(e 1 e 2 e k)*(e 1 e 2 e k). By rearranging the elements of this expression and applying the orthonormality relations among the basis elements we find that u 2 = 1.

  6. Jacobian matrix and determinant - Wikipedia

    en.wikipedia.org/wiki/Jacobian_matrix_and...

    In vector calculus, the Jacobian matrix (/ dʒ ə ˈ k oʊ b i ə n /, [1] [2] [3] / dʒ ɪ-, j ɪ-/) of a vector-valued function of several variables is the matrix of all its first-order partial derivatives.

  7. Curvilinear coordinates - Wikipedia

    en.wikipedia.org/wiki/Curvilinear_coordinates

    Consequently, a general curvilinear coordinate system has two sets of basis vectors for every point: {b 1, b 2, b 3} is the contravariant basis, and {b 1, b 2, b 3} is the covariant (a.k.a. reciprocal) basis. The covariant and contravariant basis vectors types have identical direction for orthogonal curvilinear coordinate systems, but as usual ...

  8. Section formula - Wikipedia

    en.wikipedia.org/wiki/Section_formula

    Let A and B be two points with Cartesian coordinates (x 1, y 1, z 1) and (x 2, y 2, z 2) and P be a point on the line through A and B. If A P : P B = m : n {\displaystyle AP:PB=m:n} . Then the section formula gives the coordinates of P as

  9. DFRAC - Wikipedia

    en.wikipedia.org/wiki/DFRAC

    Digital Forensics, Research and Analytics Center better known as Dfrac.org or DFRAC [1] is an Indian non-profit fact checking website founded by Dr. Shujaat Ali Quadri as Editor and Prashant Tandon as Advisor in 2021.