The application of linear programming tech- niques to rational approximation problems, ii
Linear programming algorithms for approximation of many variable function over finite point set
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Linear programming algorithms for approximation of many variable function over finite point set
Gauss quadrature formula for approximate integration by computer - numerical integration
Multivariable least squares approximation polynomials and transcendental function problem solving for missile trajectories
Estimating parameters of covariance function with modified stochastic approximation
Approximate ground state wave function used in variational principle for second order energy
Perturbation theories for equations of celestial mechanics, obtaining analytical solutions in terms of Chebyshev polynomial series
Approximate ground state wave functions used in calculation of interaction energies by second- order perturbation theory
Study applies the nonequilibrium collision theory of reaction rates to the estimation of rate constants for simple reactions. The complications in the quantum mechanical description of chemical reactions and the care needed in approximating the exact wave function for the collision are shown.
Step function, and application of quadrature formulas to estimation using moments
Approximations to several transcendental functions in universal form of two body problem
H molecule photoionization, using one center wave function with polarized orbital approximation to obtain oscillator strengths in 700 to 300 angstrom range
Rocket sonde measurement of ozone content in the mesosphere and stratosphere is accomplished by an in situ determination of the ozone mixing rates as a function of altitude from approximately 65 km to 20 km. A chemiluminescent detector is used as an ozone sensor.
Numerical method for calculating cumulative distribution of positive random variable
Cumulative probability distribution of positive random variable from moment generating function, exemplifying exponential and Poisson functions
Integrations over solid angle and frequency are performed in the expressions for the radiant heat flux and local energy loss of a line in a region of strong variations of the source function in one direction. Approximations are given for coefficients and kernels in the resulting forms which involve integrals over the physical coordinate.
Integrations over solid angle and frequency are performed in the expressions for the radiant heat flux and local energy loss of a line in a region of strong variations of the source function in one direction. Approximations are given for coefficients and kernels in the resulting forms which involve integrals over the physical coordinate.
A synthesis theory is developed which allows system design to proceed from practical specifications on system command and/or disturbance response to a design which is very nearly optimal in terms of feedback sensor noise effects. The approach taken is to replace the nonlinear element by a mean square error minimizing approximation (dual-input describing function), and then use linear frequency domain synthesis techniques subject to additional constraints imposed by the limit cycle and the approximator. Synthesis techniques are also developed for a similar system using an externally excited oscillating signal with the above approach. The results remove the design of the systems considered from the realm of simulation and experimentation, permitting true synthesis and the optimization that accompanies it.
The following conclusions were reached on passenger responses: (1) Within acceptable limits, the crew/flight attendants do not appear to be able to predict passenger responses. (2) There exists a relationship between passenger and subject overall responses. (3) Finally, a strong relationship exists between a suitably weighted running and overall subjective response. The recommended weighting function W(I) is approximately equal to I to the 0.75 power, indicating that the latter part of a flight is given more importance in a subject's overall comfort evaluation than the beginning of the flight.