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The Computation of Powers of Symbolic Polynomials

SIAM Journal on Computing, 1975
Recent results on the computation of powers of symbolic polynomials are reviewed in perspective. Then a new algorithm is given which computes the nth power of a completely sparse polynomial using a linear number of multiplications. This is followed by experimental results comparing the new algorithm to iteration using both completely sparse and ...
Ellis Horowitz, Sartaj Sahni
exaly   +3 more sources

Combinatorial symbolic powers

open access: yesJournal of Algebra, 2008
Symbolic powers are studied in the combinatorial context of monomial ideals. When the ideals are generated by quadratic squarefree monomials, the generators of the symbolic powers are obstructions to vertex covering in the associated graph and its ...
Seth Sullivant
exaly   +2 more sources

Symbolic Powers of Regular Primes

open access: yesCanadian Journal of Mathematics, 1981
In a recent paper [6], P. Seibt has obtained the following result: Let k be a field of characteristic 0, k[T1, … , Tr] the polynomial ring in r indeterminates over k, and let P be a prime ideal of k[T1, … , Tr]. Then a polynomial F belongs to the n-th symbolic power P(n) of P if and only if all higher derivatives of F from the 0-th up to the (n – l)-st
Yasunori Ishibashi
openaire   +2 more sources

Cohen–Macaulayness of monomial ideals and symbolic powers of Stanley–Reisner ideals

open access: yesAdvances in Mathematics, 2011
We present criteria for the Cohen–Macaulayness of a monomial ideal in terms of its primary decomposition. These criteria allow us to use tools of graph theory and of linear programming to study the Cohen–Macaulayness of monomial ideals which are ...
Nguyen Cong Minh, Ngo Viet Trung
exaly   +2 more sources

For What It’s Worth: Power of Symbols and Symbols of Power

Recherches sémiotiques, 2023
This short essay discusses a particular relationship between language and money. On the face of it (at face value?) the two are rather different; however, closer inspection shows them to have a number of similar properties, such as relying on mutual trust and being subject to a political regime. Accordingly, they also serve similar functions, which are
openaire   +2 more sources

The Power of Symbol and Symbols in Islam

2013
Some linguistic, aesthetical, and artistic expression forms like religious or non-religious gestures and also architectural sturctures or figures that aim to deliver a meaning and purpose has far/deep meanings that deliver us to them indirectly through implications along with their indications.
openaire   +1 more source

Symbols to Power

1995
Complex societies are characterized by a great variety of groups: ethnic, economic, and social-hierarchial. In order for complex societies to function, it is necessary to regulate communication and interaction between groups. This is handled mainly by language. Most complex societies also have writing so that the code that controls appropriate behavior
openaire   +1 more source

The Power of Symbolic Automata and Transducers

2017
Symbolic automata and transducers extend finite automata and transducers by allowing transitions to carry predicates and functions over rich alphabet theories, such as linear arithmetic. Therefore, these models extend their classic counterparts to operate over infinite alphabets, such as the set of rational numbers.
Loris D'Antoni, Margus Veanes
openaire   +1 more source

Symbolic power, robotting, and surveilling

Educational Studies in Mathematics, 2012
Symbolic power is discussed with reference to mathematics and formal languages. Two distinctions are crucial for establishing mechanical and formal perspectives: one between appearance and reality, and one between sense and reference. These distinctions include a nomination of what to consider primary and secondary.
openaire   +3 more sources

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