query: What will be the dimension of $x$ in $e^x$?
positive_passages.docid: 28520
positive_passages.text: Exponential or logarithm of a dimensionful quantity?
negative_passages.docid: 44721
negative_passages.text: Dimension of Dirac $\gamma$ matrices
negative_passages.docid: 115068
negative_passages.text: If the dimension of a sufficient statistic $T(X)$ equals the dimension of parameter space, $T(X)$ is minimal sufficient?
negative_passages.docid: 103380
negative_passages.text: Is $\operatorname{height} \mathfrak{p} + \dim A / \mathfrak{p} = \dim A$ true?
negative_passages.docid: 158681
negative_passages.text: How to show that $e^x$ is differentiable?
negative_passages.docid: 133101
negative_passages.text: Number of solutions of $P(x)=e^{ax}$ if $P$ is a polynomial
negative_passages.docid: 132300
negative_passages.text: Dimensions of vector spaces in an exact sequence
negative_passages.docid: 131844
negative_passages.text: When does $(e^a)^b = e^{ab}$ hold?
negative_passages.docid: 105477
negative_passages.text: How to find the number of dimensions that an array has?
negative_passages.docid: 150626
negative_passages.text: General formula or a pattern for the $n$th derivatives of $e^{f(x)}$?
negative_passages.docid: 155066
negative_passages.text: Dimension of the quotient space $\frac{C_{0}}{M}.$
negative_passages.docid: 71252
negative_passages.text: What is the inverse function of $e^x +x$?
negative_passages.docid: 59030
negative_passages.text: Finding the dimension of a given vector space
negative_passages.docid: 108642
negative_passages.text: $e^A$, where $A= \begin{bmatrix} 0 & \omega \\ -\omega& 0 \end{bmatrix}$
negative_passages.docid: 139288
negative_passages.text: Formal proof that $e^x$ is not algebraic
negative_passages.docid: 65162
negative_passages.text: Show that $\dim H^0(\mathbb{P}^n, \mathcal{O}_{\mathbb{P}^n}(m)) = {n + m \choose n}$ if $m \geq 0$, and $0$ otherwise.
negative_passages.docid: 54735
negative_passages.text: What is the closed form of $\int e^{x^2} \, dx$?