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The trace operator can be defined for functions in the Sobolev spaces , with <, see the section below for possible extensions of the trace to other spaces. Let Ω ⊂ R n {\textstyle \Omega \subset \mathbb {R} ^{n}} for n ∈ N {\textstyle n\in \mathbb {N} } be a bounded domain with Lipschitz boundary.
If the conditional distribution of given is a continuous distribution, then its probability density function is known as the conditional density function. [1] The properties of a conditional distribution, such as the moments , are often referred to by corresponding names such as the conditional mean and conditional variance .
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The trace of a Hermitian matrix is real, because the elements on the diagonal are real. The trace of a permutation matrix is the number of fixed points of the corresponding permutation, because the diagonal term a ii is 1 if the i th point is fixed and 0 otherwise. The trace of a projection matrix is the dimension of the target space.
Alphabet: Uppercase: U+0041 A 65 0101 Latin Capital letter A: 0034 U+0042 B 66 0102 Latin Capital letter B: 0035 U+0043 C 67 0103 Latin Capital letter C: 0036 U+0044 D 68 0104 Latin Capital letter D: 0037 U+0045 E 69 0105 Latin Capital letter E: 0038 U+0046 F 70 0106 Latin Capital letter F: 0039 U+0047 G 71 0107 Latin Capital letter G: 0040 U+ ...