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Generalized difference operators with applications to physical systems

Creator:: Smith, Newton Birrell
Resource Type:: Masters Thesis
Full Text:: (s) Eb F(kh) I tO (1sh)1hI IF(khIL (1+ lei h)' EhM IF(kh)I , where M= max. ks. i of 1j

On multiple point Taylor series expansions

Creator:: Dyche, Chester Wayne
Resource Type:: Masters Thesis
Full Text:: by lY. M. $ltone ACKNOWLEDGMENT The author is indebted to Professor w. M. Stone whose

Rational approximations for functions of a complex variable obtained by use of the Darboux formula

Creator:: Unger, James Lenes
Resource Type:: Masters Thesis
Full Text:: presented May 16,1962 Typed by W. M. Stone A CKNOWLEDGMENT The author Is indebted to Professor A. T

On the generalization and application of the Eular MacLaurin formula

Creator:: Arthur, Samuel Codjoe
Abstract:: The Euler-MacLaurin sum formula has appeared in the titles of two quite recent papers whose authors were primarily interested in certain applications. In this paper a somewhat different approach to the myriad of formulas for summation, integration, differentiation, etc. , is based on the simple identity which defines the set...
Resource Type:: Masters Thesis
Full Text:: MacLaurin formula AN ABSTRACT OF THE THESIS OF Samuel Codjoe Arthur for the M. S. in Mathematics (Name

On the Shannon-Slepian estimates of probability of decoding error

Creator:: Clendenin, Warren Gale
Resource Type:: Masters Thesis
Full Text:: Decoding Error. Abstract approved Redacted for Privacy William M. Stone Methods for determining

Sheppard's correction : moment relationships and correction terms

Creator:: Jumani, Vishnu Balchand
Abstract:: This thesis is concerned with the detailed derivation of Sheppard's Correction Formula relating the true to the raw moments by the use of Euler-MacLaurin formula. Special moment relationships have been derived using different special functions, whose application is made to derive correction formula for the semi-invariants. Special investigation is carried...
Resource Type:: Masters Thesis
Full Text:: CORRECTION: MOMENT RELATIONSHIPS AND CORRECTION TERMS Abstract approved: Redacted for Privacy (William M

A study of the quantization procedure : higher order information and the conditions for minimum error

Creator:: Jumani, Vishnu Balchand
Abstract:: Quantization is a non-linear operation of converting a continuous signal into a discrete one, assuming a finite number of levels N. A study is made of the quantization procedure, starting from the year 1898 to the present time. Conditions for minimum error are derived with consideration of quantization in magnitude...
Resource Type:: Dissertation

On the reconstruction of bandlimited signals from sampled values

Creator:: Dastrange, Nassar
Abstract:: The sampling theorem states that any frequency bandlimited signal can be exactly reconstructed from its sampled values. Different forms of this theorem have been reviewed since 1841 up to the present time. Kramer's generalized sampling theorem has been extended to two dimensions, and the form for higher dimensions can be...
Resource Type:: Dissertation
Full Text:: : ON THE RECONSTRUCTION OF BANDLINITED SIGNALS FROM SAW= VALUES Abstract Approved: William M. Stone

A new mathematical theory of detection by electronic instruments

Creator:: Brock, Robert Lewis
Resource Type:: Dissertation

A mathematical model simulating mass transport of chemicals in saturated porous media

Creator:: Lindstrom, Fredrick Thomas
Abstract:: A mathematical model simulating mass transport of chemicals in saturated porous medium is given in four parts. Included in the development is the physical phenomenon of adsorption of molecules of chemicals on the surrounding walls of the porous medium. The four main areas of study are: (1) Simple one dimensional...
Resource Type:: Dissertation

ScholarsArchive@OSU

Generalized difference operators with applications to physical systems

On multiple point Taylor series expansions

Rational approximations for functions of a complex variable obtained by use of the Darboux formula

On the generalization and application of the Eular MacLaurin formula

On the Shannon-Slepian estimates of probability of decoding error

Sheppard's correction : moment relationships and correction terms

A study of the quantization procedure : higher order information and the conditions for minimum error

On the reconstruction of bandlimited signals from sampled values

A new mathematical theory of detection by electronic instruments

A mathematical model simulating mass transport of chemicals in saturated porous media

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