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Sum rule information


Sum rule may refer to:

  • Sum rule in differentiation, Differentiation rules #Differentiation is linear
  • Sum rule in integration, see Integral #Properties
  • Addition principle, a counting principle in combinatorics
  • In probability theory, an implication of the additivity axiom, see Probability axioms #Further consequences
  • Sum rule in quantum mechanics
  • QCD sum rules, non-perturbative techniques in quantum chromodynamics
  • Sum rules (quantum field theory), relations between static and dynamic quantities in quantum field theory

and 26 Related for: Sum rule information

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Sum rule

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Sum rule may refer to: Sum rule in differentiation, Differentiation rules #Differentiation is linear Sum rule in integration, see Integral #Properties...

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List of trigonometric identities

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sum _{i}x_{i}&&=\sum _{i}\tan \theta _{i}\\[6pt]e_{2}&=\sum _{i<j}x_{i}x_{j}&&=\sum _{i<j}\tan \theta _{i}\tan \theta _{j}\\[6pt]e_{3}&=\sum...

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Riemann sum

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known as the rectangle rule. It can also be applied for approximating the length of curves and other approximations. The sum is calculated by partitioning...

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Integral

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In mathematics, an integral is the continuous analog of a sum, which is used to calculate areas, volumes, and their generalizations. Integration, the...

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Differentiation rules

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factor rule ( a f ) ′ = a f ′ {\displaystyle (af)'=af'} The sum rule ( f + g ) ′ = f ′ + g ′ {\displaystyle (f+g)'=f'+g'} The difference rule ( f − g...

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Oscillator strength

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above expression results in a sum rule ∑ k ≠ n f n k = 1 , f n k = − 2 m | ⟨ n | p x | k ⟩ | 2 E n − E k , {\displaystyle \sum _{k\neq n}f_{nk}=1,\,\,\,\...

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Product rule

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rule since the derivative of any constant is zero. This, combined with the sum rule for derivatives, shows that differentiation is linear. The rule for...

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Sum

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in cryptography Sum rule in differentiation, in calculus Sum rule in integration, in calculus Sum rule in quantum mechanics Wedge sum, a one-point union...

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Sum rule in quantum mechanics

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a sum rule is a formula for transitions between energy levels, in which the sum of the transition strengths is expressed in a simple form. Sum rules are...

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Combinatorial principles

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several useful combinatorial rules or combinatorial principles are commonly recognized and used. The rule of sum, rule of product, and inclusion–exclusion...

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QCD sum rules

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perturbative techniques often fail to apply. The QCD sum rules (or Shifman–Vainshtein–Zakharov sum rules) are a way of dealing with this. The idea is to work...

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Resistance distance

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⁡ ( M L ) {\displaystyle \sum _{i,j\in V}(LML)_{i,j}\Omega _{i,j}=-2\operatorname {tr} (ML)} From this generalized sum rule a number of relationships...

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Utilitarian rule

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social choice and operations research, the utilitarian rule (also called the max-sum rule) is a rule saying that, among all possible alternatives, society...

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List of calculus topics

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rules Derivative of a constant Sum rule in differentiation Constant factor rule in differentiation Linearity of differentiation Power rule Chain rule...

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Linearity of differentiation

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simpler rules of differentiation, the sum rule (the derivative of the sum of two functions is the sum of the derivatives) and the constant factor rule (the...

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Sum 41

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Sum 41 is a Canadian rock band from Ajax, Ontario. The band was formed in 1996 and currently consists of Deryck Whibley (lead vocals, guitars, keyboards)...

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Dim sum

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Dim sum (traditional Chinese: 點心; simplified Chinese: 点心; pinyin: diǎn xīn; Jyutping: dim2 sam1) is a large range of small Chinese dishes that are traditionally...

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Derivative

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functions. For constant rule and sum rule, see Apostol 1967, p. 161, 164, respectively. For the product rule, quotient rule, and chain rule, see Varberg, Purcell...

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Belief propagation

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Belief propagation, also known as sum–product message passing, is a message-passing algorithm for performing inference on graphical models, such as Bayesian...

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List of mathematical proofs

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Quotient rule Ramsey's theorem Rao–Blackwell theorem Rice's theorem Rolle's theorem Splitting lemma squeeze theorem Sum rule in differentiation Sum rule in...

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General Leibniz rule

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Leibniz rule states more generally: ∂ α ( f g ) = ∑ β : β ≤ α ( α β ) ( ∂ β f ) ( ∂ α − β g ) . {\displaystyle \partial ^{\alpha }(fg)=\sum _{\beta \...

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Kernel embedding of distributions

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of the prediction step via the kernel sum rule and the embedding of the conditioning step via kernel Bayes' rule. Assuming a training sample ( s ~ 1 ,...

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Bond valence method

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This model is a development of Pauling's rules. The basic method is that the valence V of an atom is the sum of the individual bond valences vi surrounding...

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Matrix mechanics

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a sum rule for the magnitude of the matrix elements: ∑ j P i j x j i − X i j p j i = i ∑ j 2 m ( E i − E j ) | X i j | 2 = i . {\displaystyle \sum...

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Reinhard Oehme

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function theory of several complex variables, the Goldberger-Miyazawa-Oehme sum rule, reduction of quantum field theories, Oehme-Zimmermann superconvergence...

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Divisibility rule

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the simpler rules can be produced using only algebraic manipulation, creating binomials and rearranging them. By writing a number as the sum of each digit...

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