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263
APPLICATION OF ALGEBRAIC METHODS TO THE CALCULATION OF STEADY STATES IN CONTINUOUS CULTURE
, 1993
"... Abstract: For the calculation of steady states in continuous culture and the application to optimization, numerical methods for solving the related nonlinear system of equations are usually employed. Such a system may have more than one solution but numerical algorithms find at best one solution p ..."
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, polynomial systems are well investigated and all solutions can be calculated with given accuracy for example by using the Gr6bner Bases representation. This allows even for sensitivity studies which are difficult to handle with numerical methods. The process of transforming and solving the system
On the Number of Term Orders*
, 1991
"... Abstract. By an admissible order on a finite subset Q of Q " we mean the restriction to Q of a linear order on Q " compatible with the group structure of Q " and such that N " is contained in the positive cone of the order. We first derive upper and lower bounds on the number of ..."
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 ~ ~ for fixed n. We finally present algorithms which compute the set of l~k<_n admissible orders that extend a given binary relation on Q and their number. The algorithms are useful in connection with the construction of universal Gr6bner bases.
Efficient techniques for multipolynomial resultant algorithms
 Proc. Internat. Symp. Symbolic Algebraic Comput. ISSAC '91
, 1991
"... Computational methods for manipulating sets of polynomial equations are becoming of greater importance due to the use of polynomial equations in various applications. In some cases we need to eliminate variables from a given system of polynomial equations to obtain a ‘(symbolical y smaller ” syste ..."
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Cited by 7 (2 self)
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” system, while in others we desire to compute the numerical solutions of nonlinear polynomial equations. Recently, the techniques of Gr6bner bases and polynomial continuation have received much attention as algorithmic methods for these symbolic and numeric applications. When it comes to practice
P.G.; “Scaling Concepts in Polymer
, 1979
"... 2633 5.3 X cm2 sl within an experimental error of 10% from the linear plot of the relaxation time 7, of the decay profile of the diffraction intensity vs. d2, the square of the grating spacing. The value is larger than Dslow by a factor of about 5, even ABSTRACT Timeaverage and timedependent i ..."
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Cited by 96 (0 self)
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based on (M)w, (R:),, A2, and the characteristic line width distribution G(r) computed from an inverse Laplace transform of the measured singleclipped time correlation function, Gk@)( 7). We have demonstrated thh nonintrusive technique to be particularly useful in obtaining an approximate Fw
The Tertiary Gr6s de Ville of the Barr6me Basin: feather edge equivalent o the Gr6s d'Annot?
"... Abstract: The Tertiary Grds de Ville in the Barr~me Basin of the French Alps is conventionally considered to be the feather edge equivalent to the Gr6s d'Annot o the east. Both units accumulated in a province of thrustsheettop basins behind the initial thrust front and were supplied from a s ..."
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) that was growing at the time of Gr6s de Ville deposition. The Gr+s de Ville accumulated close to storm wave base, whereas deposition of the Gr~s d'Annot was notably deeper, indicating that the Barr~me Basin was structurally higher than the Gr~s d'Annot Basin. There is also evidence that the Gr6s de Ville
Hardness Evaluation of Lm6/Gr PMMC Prepared by Stir Casting Method
"... Abstract — Aluminum alloy matrix composites have been receiving considerable attention as competitive materials due to their excellent mechanical and thermal properties compared with the conventional materials. This paper deals with stir casting of LM6 (Aluminium alloy)/Gr (Graphite) particulate met ..."
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Abstract — Aluminum alloy matrix composites have been receiving considerable attention as competitive materials due to their excellent mechanical and thermal properties compared with the conventional materials. This paper deals with stir casting of LM6 (Aluminium alloy)/Gr (Graphite) particulate
Truncated Gröbner Bases for Integer Programming
 AAECC 8, 241—256 (1997)
, 1997
"... The toric ideal I of a matrix A"(a,...,a)3� � � � � ��is the kernel of the monoid algebra map π ˆ : k[x,...,x]Pk[t � � � $ �,...,t � $ �], defined as x>t��. It was shown in [4] that the reduced Gro ¨ bner basis of I, with respect to the weight vector c, can be used to solve all integer ..."
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Cited by 13 (3 self)
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The toric ideal I of a matrix A"(a,...,a)3� � � � � ��is the kernel of the monoid algebra map π ˆ : k[x,...,x]Pk[t � � � $ �,...,t � $ �], defined as x>t��. It was shown in [4] that the reduced Gro ¨ bner basis of I, with respect to the weight vector c, can be used to solve all
Statistics of the Microwave Background Anisotropics Caused by the Squeezed Cosmological Perturbation”, Report WUGRAV956, grqc 9504045
"... The genuine quantum gravity effects can already be around us. It is likely that the observed largeangularscale anisotropies in the microwave background radiation are induced by cosmological perturbations of quantummechanical origin. Such perturbations are placed in squeezed vacuum quantum states ..."
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Cited by 6 (1 self)
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the measured anisotropies a much more difficult problem than we wanted it to be. This contribution to the Proceedings is largely based on references [42,8]. The Appendix contains an analysis of the “standard ” inflationary formula for density perturbations.
CGPG94/63, UCSBTH9439, grqc/9409049 Observables and a Hilbert Space for Bianchi IX
, 1994
"... We consider a quantization of the Bianchi IX cosmological model based on taking the constraint to be a selfadjoint operator in an auxiliary Hilbert space. Using a WKBstyle selfconsistent approximation, the constraint chosen is shown to have only continuous spectrum at zero. Nevertheless, the auxi ..."
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We consider a quantization of the Bianchi IX cosmological model based on taking the constraint to be a selfadjoint operator in an auxiliary Hilbert space. Using a WKBstyle selfconsistent approximation, the constraint chosen is shown to have only continuous spectrum at zero. Nevertheless
Minisuperspaces: Observables and Quantization SUGP92/26, grqc/9302027
, 1993
"... A canonical transformation is performed on the phase space of a number of homogeneous cosmologies to simplify the form of the scalar (or, Hamiltonian) constraint. Using the new canonical coordinates, it is then easy to obtain explicit expressions of Dirac observables, i.e. phase space functions whic ..."
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to pass to quantum theory following an independent avenue. The two quantum theories –based, respectively, on Dirac observables in the new canonical variables and conditional symmetries in the original ADM variables – are compared and shown to be equivalent. 1
Results 1  10
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263