query: What is the definition of positive semi-definite function in $R^3$?
positive_passages.docid: 27306
positive_passages.text: Positive semi-definite vs positive definite
negative_passages.docid: 135252
negative_passages.text: If $M$ is positive definite, then $\operatorname{det}{(M)}\leq \prod_i m_{ii}$
negative_passages.docid: 3038
negative_passages.text: For positive invertible operators $C\leq T$ on a Hilbert space, does it follow that $T^{-1}\leq C^{-1}$?
negative_passages.docid: 51947
negative_passages.text: Is the Riemann integral of a strictly positive function positive?
negative_passages.docid: 119032
negative_passages.text: Is ${\bf x^TAx} \ge { a \bf x^Tx}$ for some $a>0$ not dependent on $\bf x$ if $\bf A$ is positive definite matrix?
negative_passages.docid: 116309
negative_passages.text: Is this matrix positive semi-definite?
negative_passages.docid: 69349
negative_passages.text: If $A$ is positive definite, then $\int_{\mathbb{R}^n}\mathrm{e}^{-\langle Ax,x\rangle}\text{d}x=\left|\det\left({\pi}^{-1}A\right)\right|^{-1/2}$
negative_passages.docid: 135171
negative_passages.text: Under what conditions is the difference between a rank $1$, postive semidefinite matrix and a hermitian matrix positive semidefinite?
negative_passages.docid: 82198
negative_passages.text: Proving Convexity of Multivariate Function using Conditional Univariate Convexity
negative_passages.docid: 114245
negative_passages.text: What might I use to show that an entire function with positive real parts is constant?
negative_passages.docid: 71371
negative_passages.text: Nonnegativity of integral, integral operator
negative_passages.docid: 86623
negative_passages.text: Why is $B^TB+\lambda\Omega$ positive definite?
negative_passages.docid: 85550
negative_passages.text: Positive definiteness of difference of inverse matrices
negative_passages.docid: 36567
negative_passages.text: $A^{T}A$ positive definite then A is invertible?
negative_passages.docid: 5373
negative_passages.text: Additive function $T: \mathbb{R} \rightarrow \mathbb{R}$ that is not linear.
negative_passages.docid: 67686
negative_passages.text: Square root of Positive Definite Matrix
negative_passages.docid: 63309
negative_passages.text: How to find a measurable but not integrable function or a positive integrable function?