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  2. Bragg's law - Wikipedia

    en.wikipedia.org/wiki/Bragg's_law

    The angles that Bragg's law predicts are still approximately right, but in general there is a lattice of spots which are close to projections of the reciprocal lattice that is at right angles to the direction of the electron beam. (In contrast, Bragg's law predicts that only one or perhaps two would be present, not simultaneously tens to hundreds.)

  3. Mohr–Mascheroni theorem - Wikipedia

    en.wikipedia.org/wiki/Mohr–Mascheroni_theorem

    Creating the one or two points in the intersection of a line and a circle (if they intersect) Creating the one or two points in the intersection of two circles (if they intersect). #1 - A line through two points. It is understood that a straight line cannot be drawn without a straightedge. A line is considered to be given by any two points, as ...

  4. File:Braggs Law.svg - Wikipedia

    en.wikipedia.org/wiki/File:Braggs_Law.svg

    diagram of Bragg's Law angle of deviation 2 theta, interference can be constructive (left) or destructive (right) Loi de Bragg : selon la déviation 2θ, le déphasage cause des interférences constructrices (image de gauche) ou destructrices (image de droite) Date: 8 March 2011, 17:18 (UTC) Source: Loi_de_bragg.png; Author: Loi_de_bragg.png ...

  5. Laue equations - Wikipedia

    en.wikipedia.org/wiki/Laue_equations

    This indicates the plane that is perpendicular to the straight line between the reciprocal lattice origin = and and located at the middle of the line. Such a plane is called Bragg plane. [ 3 ] This plane can be understood since G = k o u t − k i n {\displaystyle \mathbf {G} =\mathbf {k} _{\mathrm {out} }-\mathbf {k} _{\mathrm {in} }} for ...

  6. Stars and bars (combinatorics) - Wikipedia

    en.wikipedia.org/wiki/Stars_and_bars_(combinatorics)

    For any pair of positive integers n and k, the number of k-tuples of non-negative integers whose sum is n is equal to the number of multisets of size k − 1 taken from a set of size n + 1, or equivalently, the number of multisets of size n taken from a set of size k, and is given by

  7. Proofs of trigonometric identities - Wikipedia

    en.wikipedia.org/wiki/Proofs_of_trigonometric...

    Let PQ be a line perpendicular to line OQ defined by angle , drawn from point Q on this line to point P. OQP is a right angle. Let QA be a perpendicular from point A on the x -axis to Q and PB be a perpendicular from point B on the x -axis to P. ∴ {\displaystyle \therefore } OAQ and OBP are right angles.

  8. Litman: Don't underestimate the strengths of Alvin Bragg's ...

    www.aol.com/news/litman-dont-underestimate...

    The Manhattan district attorney pointed to new evidence that the payment to Stormy Daniels was meant to break campaign finance and even tax law. Litman: Don't underestimate the strengths of Alvin ...

  9. Mathematical proof - Wikipedia

    en.wikipedia.org/wiki/Mathematical_proof

    For example, we can prove by induction that all positive integers of the form 2n − 1 are odd. Let P(n) represent "2n − 1 is odd": (i) For n = 1, 2n − 1 = 2(1) − 1 = 1, and 1 is odd, since it leaves a remainder of 1 when divided by 2. Thus P(1) is true.