Questions tagged [algebraic-number]

An algebraic number is a number that is a root of a non-zero polynomial in one variable with rational coefficients

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Keras custom loss implementation : ValueError: An operation has `None` for gradient

I'm trying to implement this loss function : MCFD_loss_function from this document (P6) : Loss functions So I created a new function like this : def mcfd_loss(y_true, y_pred): return K.sum( # ∑ K.cast( K.greater( # only…
bastien enjalbert
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Set of algebraic integers in $\mathbb{Z}[\zeta_n]$

How to calculate the set of algebraic integers in $\mathbb{Z}[\zeta_n]$ for any positive integer n, where $\zeta_n$ is the n’th root of unity. I will be very happy if someone give me the answer. Thanks in advance. I tried using basis….but I am…
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Computations on algebraic numbers

I'd like to do exact computations on regular polygons. To do so, I wrote the code you find below. But the expression cos*cos will not compile. Apparently multiplication is not defined for the algebraic number type I'm using. I guess I'll have to try…
MvG
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Calculate the first cohomoly group of a sheaf of quotients in Macaulay2

I want to calculate the cohomology of the sheaf Q in the exact sequence on $\mathbb P^3$: 0\rightarrow\mathcal O(-1)\rightarrow \mathcal O^{\oplus 4}\rightarrow Q\rightarrow 0 To do it, I want to calculate the cohomology of Q, using Macaulay2. I…