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10
votes
4answers
379 views
how to differentiate formally?
I have been wrapping my head around this for a while now and I have not found a solution so far.
I want to work with an arbitrary number of variables in mathematica and use some built in functions.
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12
votes
2answers
286 views
Sum or Product with Exclusions
Is there a built-in feature for handling things like:
$$\sum_{i=0}_{i\ne j}^n\frac{a-a_i}{a_i-a_j}$$
and
$$\prod_{i=0}_{i\ne j}^n\frac{a-a_i}{a_i-a_j}$$
or should I work out some sort of ...
5
votes
3answers
358 views
Ways to compute inner products of tensors
One way to evaluate the following sums is combining Table and Sum:
$u_{abcd} = \sum_{e=1}^3 v_{aeb}w_{ced}$
$q_{ab} = \sum_{d,e=1}^3 v_{d e a}w_{deb}$
It will look like
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3
votes
3answers
213 views
Sum of Multinomial Coefficients
Basically, I want to write a function to compute the following sum
$f(m,L):=\sum_{0\leq k_1,\cdots, k_n\leq m} \binom{m}{k_1,k_2,\cdots k_n}$ and $\mathrm{supp}(k)=L \subseteq \left \{ 1,...,n \right ...
