query: Why is : $ \mathrm{dim} \ ( S_X )_d = \begin{pmatrix} n+d \\ n \end{pmatrix} - \begin{pmatrix} n+d-s \\ n \end{pmatrix} $?
positive_passages.docid: 27096
positive_passages.text: Hilbert polynomial of an hypersurface in projective space
negative_passages.docid: 31767
negative_passages.text: How #define work? Strange result for CUBE(y) y*(y*y)
negative_passages.docid: 138256
negative_passages.text: What's the difference between $\mathbb{Q}[\sqrt{-d}]$ and $\mathbb{Q}(\sqrt{-d})$?
negative_passages.docid: 100161
negative_passages.text: Is it true that $\dim(X) \leq \dim(X^{\ast})$ for every infinite dimentional Banach space $X$?
negative_passages.docid: 1162
negative_passages.text: Why $\{\mathbf{0}\}$ has dimension zero?
negative_passages.docid: 23837
negative_passages.text: Why is $\mathbb{R}/{\sim}$ not first countable at $[0]$, where $x \sim y \Leftrightarrow x = y\text{ or }x,y \in \mathbb{Z}$?
negative_passages.docid: 100779
negative_passages.text: having a question on the symbol $dN_p$ when writing down its correspondence matrix
negative_passages.docid: 73099
negative_passages.text: Why is $d(x^2)= 2xdx$?
negative_passages.docid: 125184
negative_passages.text: Why $\dim(\hom(V,W))=\dim(V) * \dim(W)$?
negative_passages.docid: 133756
negative_passages.text: Geometric interpretation of $\det(A^T) = \det(A)$
negative_passages.docid: 58273
negative_passages.text: What justifies this calculation of the derivative of a matrix function?
negative_passages.docid: 157109
negative_passages.text: Finding the Dimension of a Matrix Polynomial: $W$ = { $p(B)$ : $p$ is a polynomial with real coefficients}
negative_passages.docid: 59125
negative_passages.text: Why does this matrix give the derivative of a function?
negative_passages.docid: 23224
negative_passages.text: $\mbox{rank}(A)=1$ implies $\det(A+I)=\mbox{trace}(A)+1$
negative_passages.docid: 17430
negative_passages.text: If $\operatorname{rank}\left( \begin{bmatrix} A &B \\ C &D \end{bmatrix}\right)=n$ prove that $\det(AD)=\det(BC)$
negative_passages.docid: 96158
negative_passages.text: What's the associated matrix of this linear operator?
negative_passages.docid: 58345
negative_passages.text: How discretised PDE forms a matrix (matrix entries question)