Search results for "Computer Science::Symbolic Computation"
showing 10 items of 92 documents
"Table 4" of "Inclusive production of neutral vector mesons in hadronic Z decays"
1995
Average multiplicity per hadronic event. Extrapolation to the full X range.
Symbolic integration of hyperexponential 1-forms
2019
Let $H$ be a hyperexponential function in $n$ variables $x=(x_1,\dots,x_n)$ with coefficients in a field $\mathbb{K}$, $[\mathbb{K}:\mathbb{Q}] <\infty$, and $\omega$ a rational differential $1$-form. Assume that $H\omega$ is closed and $H$ transcendental. We prove using Schanuel conjecture that there exist a univariate function $f$ and multivariate rational functions $F,R$ such that $\int H\omega= f(F(x))+H(x)R(x)$. We present an algorithm to compute this decomposition. This allows us to present an algorithm to construct a basis of the cohomology of differential $1$-forms with coefficients in $H\mathbb{K}[x,1/(SD)]$ for a given $H$, $D$ being the denominator of $dH/H$ and $S\in\mathbb{K}[x…
Constructing Antidictionaries in Output-Sensitive Space
2021
A word $x$ that is absent from a word $y$ is called minimal if all its proper factors occur in $y$. Given a collection of $k$ words $y_1,y_2,\ldots,y_k$ over an alphabet $\Sigma$, we are asked to compute the set $\mathrm{M}^{\ell}_{y_{1}\#\ldots\#y_{k}}$ of minimal absent words of length at most $\ell$ of word $y=y_1\#y_2\#\ldots\#y_k$, $\#\notin\Sigma$. In data compression, this corresponds to computing the antidictionary of $k$ documents. In bioinformatics, it corresponds to computing words that are absent from a genome of $k$ chromosomes. This computation generally requires $\Omega(n)$ space for $n=|y|$ using any of the plenty available $\mathcal{O}(n)$-time algorithms. This is because a…
The infinite dihedral group
2022
We describe the infinite dihedral group as automaton group. We collect basic results and give full proofs in details for all statements.
Factorization of denominators in integration-by-parts reductions
2020
We present a Mathematica package which finds a basis of master integrals for the Feynman integral reduction. In this basis the dependence on the dimensional regularization in the denominators factorizes in kinematic independent polynomials.
"Table 8" of "A new measurement of the Collins and Sivers asymmetries on a transversely polarised deuteron target"
2006
Collins asymmetry against Bjorken X for all positive hadrons.
"Table 11" of "A new measurement of the Collins and Sivers asymmetries on a transversely polarised deuteron target"
2006
Collins asymmetry against Bjorken X for leading positive hadrons.
"Table 19" of "Collins and Sivers asymmetries for pions and kaons in muon-deuteron DIS"
2008
The Collins and Sivers asymmetry as a function of X for 'LEADING' negative pions from the 2003-2004 data.. Errors are statistical only.
"Table 6" of "Collins and Sivers asymmetries for pions and kaons in muon-deuteron DIS"
2008
The Collins and Sivers asymmetry as a function of Z for 'ALL' negative pions from the 2003-2004 data.. Errors are statistical only.
"Table 21" of "Collins and Sivers asymmetries for pions and kaons in muon-deuteron DIS"
2008
The Collins and Sivers asymmetry as a function of Z for 'LEADING' negative pions from the 2003-2004 data.. Errors are statistical only.