Mass action and polynomial optimization.
Mass action law-polynomial optimization analogy, illustrating optimal temperature determination in chemical reactors in series
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Mass action law-polynomial optimization analogy, illustrating optimal temperature determination in chemical reactors in series
Algorithm for factorizing polynomials over finite fields usable with computer
Algebraic criterion for polynomial with complex coefficients having all zeros in certain regions of complex plane
Fourth order polynomial RC-RL decomposition conditions
Coefficients for finite difference methods of numerical integration of products of Fourier and ordinary polynomials
Algorithms based on Newton formula for polynomial interpolation and numerical differentiation
Reduction procedure for determining sign definiteness and semidefiniteness of higher order real polynomials
Polynomials with interval coefficients, presenting Newton Raphson algorithm for real roots error bounds
Recursive test for nonnegative polynomials using modified Routh scheme to determine real positive zeros
Frequency domain analogies, polynomial matrices, and linear systems
Polynomial expressions for planetary equators and orbit elements in relationship to earth coordinate system
Analysis of four iterative methods for approximating zeros of polynomial expressions using digital computer
FORTRAN 4 program /FITLOS/ for fitting low-order polynomial splines of two and three degrees by least squares method
Thermodynamic properties in polynomial form for carbon, hydrogen, nitrogen, and oxygen systems form 300 to 15000 K
Majority logic decoding for primitive polynomial and dual codes, discussing nonorthogonal parity-check sums formation methods and Euclidean geometry maximality
Extreme eigenvalues of Toeplitz matrices associated with Laguerre and Jacobi polynomials, using finite difference operators
The method used to calculate the velocity, temperature, and density of the solar wind plasma is presented from spectra obtained by attitude-stabilized plasma detectors on the earth satellite OGO 5. The method, which used expansions in terms of Hermite polynomials, is very inexpensive to implement on an electronic computer compared to the least-squares and other iterative methods often used for similar problems.
A study was made of a polynomial filter for computing range rate information from CSM VHF range data. The filter's performance during the terminal phase of the rendezvous is discussed. Two modifications of the filter were also made and tested. A manual terminal rendezvous was simulated and desired accuracies were achieved for vehicles on an intercept trajectory, except for short periods following each braking maneuver when the estimated range rate was initially in error by the magnitude of the burn.