Limit of $\\frac{x^c-c^x}{x^x-c^c}$ as $x \\rightarrow c$
Mar 13, 2018 · My question is: Show that $\lim_{x \rightarrow c} \frac{x^c-c^x}{x^x-c^c}$ exists and find its value. Because the limit is 0/0 I've tried using L'Hopital's rule, but every time I …
combinatorics - Prove there is a formula $\phi(x,z)$ of VC …
Apr 16, 2020 · However, this suggests that $\mathcal{P}_{\leq 2^\kappa}(U)$ might be an example of a set system with VC dimension $2^\kappa$ and dual VC dimension $\kappa$. …
probability - The Variance Rule of $V(cX) = c^2V(X)
Feb 25, 2021 · Stack Exchange Network. Stack Exchange network consists of 183 Q&A communities including Stack Overflow, the largest, most trusted online community for …
real analysis - VC dimension of union and intersection
Apr 24, 2020 · What is this VC dimension of a set of "classifiers"? Well, basically a classifier on a set is like a rule : if an element is part of the classifying set, then it satisfies that rule, otherwise …
Properties of VC dimension - Mathematics Stack Exchange
The VC dimension of a classification machine is larger or equal to n if at least an arrangement of n points exists that can be classified without errors for any labeling of the n points. It is equal to n …
machine learning - How to calculate Vapnik-Chervonenkis …
The VC dimension of a hypothesis class, H is the cardinality of the largest set which can be shattered by a H.The requirement is you should be able to find at least one such set of points …
VC dimension of linear decision surface - Mathematics Stack …
Jun 18, 2017 · Stack Exchange Network. Stack Exchange network consists of 183 Q&A communities including Stack Overflow, the largest, most trusted online community for …
What is the VC dimension of a d-dimensional quadratic function?
Apr 5, 2019 · In fact, if the inputs are the tuples (x,y,M,u), then the VC dimension is 0 because we are just talking about the VC dimension of the "sign" function, which can't shatter any set of …
A question about VC dimension. 2D Axis aligned rectangles
Sep 10, 2017 · But I still have some doubts with the definition of VC dimension. If we consider a set of given 4 points, what happens if I have $$\{x_1,x_2,x_3,x_4\} = +,-,+,-$$ aligned in order …
machine learning - VC-dimension of the class of decision trees ...
Oct 27, 2018 · I need to show that the VC-dimension of the class of decision trees over the domain ${0,1}^d$ is $2^d$ I tried to show that any binary classi\fer can be implemented as a …