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Symbolic and Algebraic Computation

Overview of attention for book
Cover of 'Symbolic and Algebraic Computation'

Table of Contents

  1. Altmetric Badge
    Book Overview
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    Chapter 52 A criterion for detecting unnecessary reductions in the construction of Gröbner-bases
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    Chapter 53 Unification of commutative terms
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    Chapter 54 Canonicality in rule systems
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    Chapter 55 The application of symbolic algebra to physics — A case of creeping flow
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    Chapter 56 Progress towards a solution of the equivalence problem in general relativity
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    Chapter 57 Symbol calculus by symbolic computation and semi-classical expansions
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    Chapter 58 An algorithm for the analytic evaluation of a class of integrals
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    Chapter 59 Fast computation of the rational hermite interpolant and solving toeplitz systems of equations via the extended Euclidean algorithm
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    Chapter 60 Approximate algorithms to derive exact solutions to systems of linear equations
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    Chapter 61 New recursive minor expansion algorithms, a presentation in a comparative context
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    Chapter 62 Systems of algebraic equations
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    Chapter 63 On the van der waerden criterion for the group of an equation
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    Chapter 64 Some computations related to torsion points on elliptic curves over number fields
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    Chapter 65 The computerisation of algebraic geometry
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    Chapter 66 Algebraic extensions of arbitrary integral domains
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    Chapter 67 On unit computation in real quadratic fields
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    Chapter 68 An algebraic form of a solution of a system of linear differential equations with constant coefficients
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    Chapter 69 Substitution methods for the automatic symbolic solution of differential equations of first order and first degree
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    Chapter 70 A semi-numeric difference algorithm
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    Chapter 71 Convergence behaviour of the Newton iteration for first order differential equations
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    Chapter 72 Probabilistic algorithms for verification of polynomial identities
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    Chapter 73 Probabilistic algorithms for sparse polynomials
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    Chapter 74 Non-modular computation of polynomial GCDS using trial division
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    Chapter 75 Product of symmetric and anti-symmetric polynomials
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    Chapter 76 Capabilities of the mumath-79 computer algebra system for the intel-8080 microprocessor
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    Chapter 77 CAMAC 1979
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    Chapter 78 The initial design of a vector based algebra system
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    Chapter 79 Hashing — the key to rapid pattern matching
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    Chapter 80 A system for automatic generation of tensor algorithms and indicial tensor calculus, including substitution of sums
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    Chapter 81 Analysis of the p-adic construction of multivariate correction coefficiencts in polynomial factorization: Iteration vs. recursion
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    Chapter 82 A cellular decomposition algorithm for semialgebraic sets
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    Chapter 83 Gamma-algebra algorithms for canonical hypercomplex representations
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    Chapter 84 Factoring univariate integral polynomials in polynomial average time
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    Chapter 85 Symbolic-numeric interface: A review
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    Chapter 86 A note on methods for solving systems of polynomial equations with floating point coefficients
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    Chapter 87 An arbitrary precision real arithmetic package in REDUCE
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    Chapter 88 Symbolic preprocessing in interval function computing
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    Chapter 89 Approximate rational arithmetic systems: Analysis of recovery of simple fractions during expression evaluation
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    Chapter 90 Symbolic integration — the dust settles?
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    Chapter 91 Integration of simple radical extensions
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    Chapter 92 Algorithms for the integration of algebraic functions
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    Chapter 93 An extension of liouville's theorem
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    Chapter 94 Integer matrices and Abelian groups
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    Chapter 95 An algorithm for the computation of conjugacy classes and centralizers in p-groups
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    Chapter 96 MODLISP: An introduction
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    Chapter 97 Extending interlisp for modularization and efficiency
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    Chapter 98 TLISP — A “transportable-lisp” implemented in pcode
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    Chapter 99 Symbolic computing with compression of data structures: General observations, and a case study
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    Chapter 100 On the design of algebraic data structures with the approach of abstract data types
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    Chapter 101 Matching under commutativity
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    Chapter 102 γ-algebra algorithms for canonical hypercomplex representations
Attention for Chapter 73: Probabilistic algorithms for sparse polynomials
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2 Wikipedia pages

Citations

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Readers on

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41 Mendeley
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Chapter title
Probabilistic algorithms for sparse polynomials
Chapter number 73
Book title
Symbolic and Algebraic Computation
Published in
Lecture notes in computer science, January 1979
DOI 10.1007/3-540-09519-5_73
Book ISBNs
978-3-54-009519-4, 978-3-54-035128-3
Authors

Richard Zippel, Edward W. Ng, Zippel, Richard

Mendeley readers

Mendeley readers

The data shown below were compiled from readership statistics for 41 Mendeley readers of this research output. Click here to see the associated Mendeley record.

Geographical breakdown

Country Count As %
United States 5 12%
Italy 1 2%
Unknown 35 85%

Demographic breakdown

Readers by professional status Count As %
Student > Ph. D. Student 11 27%
Researcher 9 22%
Student > Master 7 17%
Student > Bachelor 4 10%
Professor 2 5%
Other 4 10%
Unknown 4 10%
Readers by discipline Count As %
Computer Science 30 73%
Mathematics 6 15%
Business, Management and Accounting 1 2%
Engineering 1 2%
Unknown 3 7%
Attention Score in Context

Attention Score in Context

This research output has an Altmetric Attention Score of 3. This is our high-level measure of the quality and quantity of online attention that it has received. This Attention Score, as well as the ranking and number of research outputs shown below, was calculated when the research output was last mentioned on 13 November 2019.
All research outputs
#8,759,452
of 25,837,817 outputs
Outputs from Lecture notes in computer science
#2,564
of 8,201 outputs
Outputs of similar age
#4,256
of 26,701 outputs
Outputs of similar age from Lecture notes in computer science
#2
of 2 outputs
Altmetric has tracked 25,837,817 research outputs across all sources so far. This one is in the 43rd percentile – i.e., 43% of other outputs scored the same or lower than it.
So far Altmetric has tracked 8,201 research outputs from this source. They typically receive a little more attention than average, with a mean Attention Score of 5.2. This one has gotten more attention than average, scoring higher than 53% of its peers.
Older research outputs will score higher simply because they've had more time to accumulate mentions. To account for age we can compare this Altmetric Attention Score to the 26,701 tracked outputs that were published within six weeks on either side of this one in any source. This one is in the 29th percentile – i.e., 29% of its contemporaries scored the same or lower than it.
We're also able to compare this research output to 2 others from the same source and published within six weeks on either side of this one.