J. Jezek and G. F. McNulty: Perfect bases for equational theories.
Perfect bases for equational theories are closely related to confluent and finitely termi- nating term rewrite systems. The two classes have a large overlap, but ...
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Perfect Bases for Equational Theories (PDF) - Semantic Scholar
Perfect bases for equational theories are closely related to confluent and finitely terminating term rewrite systems. The two classes have a large overlap, but ...
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Survey 1979: Equational Logic - Department of Mathematics
algebras defined by equations to which the theories may be applied, as we shall see. ... Bases and generic algebras . ... The lattice of equational theories . ...... Although this analogy is perfect for operation symbols and laws, unfortunately the .
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The Domain of Solutions To Differential Equations - Academics
Similarly, the domain of a particular solution to a differential equation can be restricted for ... smallest number of students who received a perfect score on any of the six .... This integral equation is the basis for the use of Picard's approximation .... Coddington and Levinson, Theory of Ordinary Differential Equations (pp1-2).
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Page 1 MODULAR FIELDS* SAUNDERS MAC LANE, Harvard
1. Introduction. The general theory of modular fields, though elementary in ... A congruence modulo p has all the properties of an equation; congruences ..... the base field C of complex numbers is replaced by a perfect modular field P or even ...
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Deducibility constraints, equational theory and electronic money *
the perfect cryptography model. More precise models of ... perfect cryptography case. ... results, as our theory can not be split into two equational theories satisfying the ...... base case, the proof consists of an axiom only and the result follows.
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Reducing Equational Theories for the Decision of Static - Lsv
Apr 22, 2010 ... Static equivalence modulo equational theories allows for a more accurate representa- ... This is justified by the so-called perfect cryptography assumption which states that the intruder has no ..... Base case. We distinguish four ...
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Reducing Equational Theories for the Decision of - ENS Cachan
assumption of perfect cryptography is not always realistic, some properties of cryptographic primitives (a ... lence problem modulo some equational theory to some other static equivalence problems modulo ..... Base case. We distinguish four ...
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How to base probability theory on perfect-information games
Dec 13, 2009 ... with measure theory, the other with the theory of perfect-information ..... So Equation (1) gives the same probability to a single path in Ω as the.
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Wavelets and filter banks: theory and design - Signal Processing
view perfect reconstruction filter banks, which can be used both ... continuous wavelet bases, provided that the filters meet a con- ... of diophantine equations.
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Applications of Gröbner bases to signal and image processing: a
Multidimensional causal, stable, perfect reconstruction filter banks. IEEE Trans. ... An algorithmical criterion for the solvability of algebraic systems of equations ( German) ... Gröbner bases: an algorithmic method in polynomial ideal theory.
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Intruder Deduction for the Equational Theory of Exclusive-or with
Unfortunately, this perfect cryptography assumption is too idealistic: There are ... Notice that in this case the equational theories of the âŠ• operation and of the ..... Base case n =0: u âˆˆ S T (v) for some v âˆˆ S âŠ• (T ),wherev = v 1 âŠ• ...âŠ• v p ...
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PERFECT NUMBERS WITH IDENTICAL DIGITS Paul Pollack1
A perfect number N is a solution of the equation σ(N)=2N, where σ(N) = ∑ ... INTEGERS: ELECTRONIC JOURNAL OF COMBINATORIAL NUMBER THEORY x (200x), #Axx. 2 ... There are only finitely many repdigit perfect numbers in base g,.
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Exploring Number Theory Using Base SAS
Exploring Number Theory Using Base SAS. ®. Matthew Duchnowski ... The austere and abstract beauty of Number Theory prompted nineteenth century mathematician .... For detailed information on perfect, abundant and deficient ... For the left side of the equation, we need only to compile all square integers: data leftside;.
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Differential Groebner Bases - University of Kent
The theory from which the algorithm evolved, the concept of Gröbner bases for poly- ... differential Gröbner basis for the ideal generated by the input equations. ...... In his book “Differential Algebra”, Ritt proves that every perfect differential ideal.
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PERFECT NUMBERS - Mathematics Department
many of the basic theorems of number theory stem from the investigation of the. Greeks into the problem of ..... The above equation then yields simply p. 1−γ2. 2 ... If N = 2n−1(2n − 1) is perfect and N is written in base 2, then it has 2n − 1 digits, ...
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Bipolar Transistor - EECS at UC Berkeley
the theory of the bipolar transistor I-V characteristics, current gain, and output .... ( 8.2.12). Equation (8.2.12) illustrates that the base Gummel number is basically .... The analysis of IB, the base to emitter injection current, is a perfect parallel of.
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Exponential Diophantine Equations - International Mathematical Union
Many questions in number theory concern perfect powers, numbers of the form ... a diophantine equation in which exponents occur as variables. Problem (a) ..... hopeless, unless the bases of all exponential variables are fixed. In those cases it .
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Differential Ideal Theory Algebraic Systems and Differential - LIX
equations and the one of algebraic ideals. But Ritt ... It is known that the theory of standard or Gröbner bases allows to find a canonical set of ... Ritt gave an algorithm to decompose a perfect ideal into a finite intersection of prime ideals, defined.
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What Is Number Theory?What Is Number Theory? - Brown math
Finally, a number is perfect if the sum of all its divisors, other than itself, adds back up to the ..... that is, triples of natural numbers (a, b, c) satisfying the equation a2 + b2 = c2. The answer is “YES” for a ...... the logarithm to the base 2. In particular ...
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