F = Work function of the material the photons are incident on (J) Jump up ^ Deb, K.; Pratap, A.; Agarwal, S.; Meyarivan, T. (2002). A fast and elitist multiobjective genetic algorithm: NSGA-II. IEEE Transactions on Evolutionary Computation 6 (2): 182. doi:10.1109/4235.996017. edit \{\ ;\ \} \!\, [ 53 Neon Ne 10 Time evolution in Heisenberg picture (Ehrenfest theorem) Samarium Sm 62 ??????? Time-independent case: \hat{H}\Psi = E\Psi ?? Photoelectric equation ? 2646 Neptune probability theory ? estimator ( ) u Iverson bracket predicate logic size of; Hafnium Hf 72 Symbol 25% 0&0 \\ propositional logic, lattice theory half-open interval; m ~ n means the quantities m and n have the same order of magnitude, or general size. See also n 2229 intersection given < > ? 2246 approximately but not actually equal to < > (a, b, c) is an ordered triple (or 3-tuple). \supset \!\, 16% ? ? 2624 caduceus g(Ei) = degeneracy of energy Ei (no of states with same energy) ? 2606 white star ??? \langle \rangle is the empty tuple (or 0-tuple). [\ :\ ] \!\, is defined as; \bar{x} (often read as x bar) is the mean (average value of x_i). x = \{1,2,3,4,5\}; \bar{x} = 3. \end{align} \begin{align} \hat{H} & = \sum_{n=1}^{N}\frac{\hat{\mathbf{p}}_n\cdot\hat{\mathbf{p}}_n}{2m_n} + V(\mathbf{r}_1,\mathbf{r}_2,\cdots\mathbf{r}_N,t) \\ Summarized below are the various forms the Hamiltonian takes, with the corresponding Schrödinger equations and forms of wavefunction solutions. Notice in the case of one spatial dimension, for one particle, the partial derivative reduces to an ordinary derivative. the (set of) p-adic integers Mathematical typography[edit] 04 complex numbers There are many variants of the notation, such as ?u | v? and (u | v), which are described below. For spatial vectors, the dot product notation, x · y is common. For matrices, the colon notation A : B may be used. As ? and ? can be hard to type, the more keyboard friendly forms < and > are sometimes seen. These are avoided in mathematical texts. The standard inner product between two vectors x = (2, 3) and y = (-1, 5) is: 19% set-theoretic complement linear algebra Property or effect Nomenclature Equation \phi = hf_0\,\! 1&2 \\ adjoint; isomorphic An ordered list (or sequence, or horizontal vector, or row vector) of values. x ? y means x is incomparable to y. {1,2} ? {2,3} under set containment. List of equations in gravitation This may also be written as P(X), Pr(X), P[X] or Pr[X]. If a fair coin is flipped, P(Heads) = P(Tails) = 0.5. P = Probability that particle 1 has position r1 in volume V1 with spin sz1 and particle 2 has position r2 in volume V2 with spin sz2, etc. u · v means the dot product of vectors u and v (1,2,5) · (3,4,-1) = 6 The statement A ? B is true if A or B (or both) are true; if both are false, the statement is false. ? F = momentum-space wavefunction 8 × 9 ~100 x := y, y =: x or x = y means x is defined to be another name for y, under certain assumptions taken in context. nabla; ?x? means the nearest integer to x.
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