A simple method is given for writing down, in terms of the traces of the "prime words" and their "powers," the cumulants of the joint distribution of a set of quadratic expressions in a vector with a multinormal distributions.doi:10.1016/0097-3165(71)90004-5I.J Good...
Factoring Quadratic Expressions | Definition, Methods & Examples Conjugate in Math | Definition & Examples Solving Equations with Distributive Property | Formula & Examples Factor in Math | Overview & Examples Difference of Cubes | Formula, Factor, & Examples Create an account to start this course ...
Using Linear & Quadratic Functions to Problem Solve Comparing Linear, Quadratic & Exponential Models Parent Function | Graphs, Types & Examples Discrete vs. Continuous Functions | Differences & Examples Family of Functions | Graphs & List Linear, Quadratic & Exponential Functions | Models & Graphs Mo...
Symmetric positive definite systems are very common, since they typically derive from quadratic energy functions which are positive and symmetric due to the very underlying physical principles. In that case, the factorization of A can also be given as: [21]A=LDLT=LD1/2D1/2LT=CCT which is ...
How do I factor the quadratic equation x^2 +5x - 84? What is the lowest term or factors of 81 and 63? What number(s) am I? I am a positive integer. I am divisible by exactly 8 different positive integers. I am divisible by 15 and 21. What are rational numbers? Given x - 2...
It is known that the one-loop effective action of ${QED}_2$ is a quadratic in the field strength when the fermion mass is zero: all potential higher order contributions beyond second order vanish. For nonzero fermion mass it is shown tha... Fry,P M. 被引量: 0发表: 2000年 加载更多...
As an important part of Algebraic Number, quadratic fields ,the arithmetic in quadratic fields ,ideal ,class number and unique factorization theory play an important role in research of Diophantine Equation. 而若Q((?))的类数不为1,则先应用其相应的代数整数环上理想的惟一分解定理进行讨论,然后在根...
(18) According to a general formalism developed in [49,50], the terms showing no dependence on q are identified with the contributions to the L = 0 state; the terms linear in qα are related to the L = 1 state with the proper polarization vector α (see below); the quadratic terms...
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Based on the adjacency matrix X of observed network or training set, the objective function can be written as $$\mathop{\min }\limits_{W\ge 0,H\ge 0}O=D(X|WH)+\lambda f(W,H)$$ (4) where D(X|WH) represents the distance between X and WH, such as the quadratic loss ...