Applied Mathematics Commons^™

Frequency-Domain Photon Migration In Turbid Media, Bruce J. Tromberg, Steen J. Madsen, Curtis Chapman, Lars O. Svaasand, Richard C. Haskell

All HMC Faculty Publications and Research

An analytical model is presented for the propagation of diffuse photon density waves in turbid media. The frequency- and wavelength-dependence of photon density waves are measured using Frequency-domain Photon Migration (FDPM). Media optical properties, including absorption, transport, and fluorescence relaxation times are calculated from experimental results.

Optimal Blackjack Strategy With "Lucky Bucks", Arthur T. Benjamin, Eric Huggins '91

All HMC Faculty Publications and Research

In the casino game blackjack or "21," mathematically determined best plays have been calculated by various mathematicians and gambling experts. These optimal playing strategies all assume that the casino pays even money on bets (excluding when the player has a "blackjack"). However, many casinos offer the player "lucky bucks" that pay the player either 3-to-2 or 2-to-1. In the usual game, the player's expected loss is under 1¢ per dollar bet. in this paper, we derive optimal strategies under luck-buck conditions, giving the player an expected gain of 26¢ or 55¢ per dollar bet.

Only Problems, Not Solutions! (Fourth Edition), Florentin Smarandache

Branch Mathematics and Statistics Faculty and Staff Publications

No abstract provided.

An Algorithm For Robust Eigenstructure Assignment Using The Linear Quadratic Regulator, Thomas C. Huckabone

Theses and Dissertations

The Linear Quadratic Regulator (LQR) can guarantee a robust closed loop eigenstructure for full state feedback. The algorithm developed here takes advantage of the stability guarantees of LQR to achieve an eigenstructure close to desired but within the allowable region of LQR. The algorithm selects the LQR weighting matrices, Q and R, that minimize the distance between the elements of the desired and LQR achievable eigenstructures. The minimization is accomplished by using a simplex based optimization routine. Specific weightings placed on the elements of the desired eigenstructure define the relative importance of each element. The algorithm is programmed in FORTRAN …

Shadow Casting Phenomena At Newgrange, Frank Prendergast

Articles

A digital model of the Newgrange passage tomb and surrounding ring of monoliths known as the Great Circle is used to investigate sunrise shadow casting phenomena at the monument. Diurnal variation in shadow directions and lengths are analysed for their potential use in the Bronze Age to indicate the passage of seasonal time. Computer-aided simulations are developed from a photogrammetric survey to accurately show how three of the largest monoliths, located closest to the tomb entrance and archaeologically coded GC1, GC-1 and GC-2, cast their shadows onto the vertical face of the entrance kerbstone, coded K1. The phenomena occur at …

Graphs, Maneuvers, And Turnpikes, Arthur T. Benjamin

All HMC Faculty Publications and Research

We address the problem of moving a collection of objects from one subset of Z^m to another at minimum cost. We show that underfairly natural rules for movement assumptions, if the origin and destination are far enough apart, then a near optimal solution with special structure exists: Our trajectory from the originto the destination accrues almost all of its cost repeatingat most m different patterns of movement. Directions for related research are identified.

Matrix Methods Of Approximating Classical Predator-Prey Problems, E. Y. Rodin, R. Greenberg, B. Nelson

Computer Science: Faculty Publications and Other Works

No abstract provided.

Generalisations Et Generalites, Florentin Smarandache, Eleonora Smarandache

Branch Mathematics and Statistics Faculty and Staff Publications

"Généralisations et Généralités" , pourquoi ce titre? Parce Que l'auteur a voulu rassembler ici Quelques-unes de ses recherches originales C Qui sont donc des "s~n:§rali tés") , df'2ls diverses branches des mathématiques (algèl)re, thôorie des nombres, Gométrie, analyse, linguistique, mathématiQues distrayantes) , mêlne si les articles qui composent ce recueil n'ont pas toujours de liaison entre eux.

Characterization Of The Bivariate Negative Binomial Distribution, James E. Dunn

Journal of the Arkansas Academy of Science

No abstract provided.

How To Measure The Capacity Of Farm Dams, G Gauntlett

Journal of the Department of Agriculture, Western Australia, Series 4

AT some time or another nearly every farmer needs to be able to measure the capacity of an ordinary farm dam of the "excavated earth tank" type and many requests are made for a method of calculating this volume.

This article describes how this can be done.

Select On Fleece Weight And Cull The Low Producers, W L. Mcgarry

Journal of the Department of Agriculture, Western Australia, Series 4

EFFICIENT calling of maiden ewes before they join the breeding flock is an essential part of any policy of flock improvement.

Removal of the low wool producers should be one of the first considerations when culling the flock.

Facts And Figures For The Man On The Land, J A. Mallett

Journal of the Department of Agriculture, Western Australia, Series 4

FARM or station life calls for the exercise of so many different skills that the farmer or pastoralist is usually an accomplished handyman.

For those whose schooldays are far behind them however, the most difficult part of many tasks is that of dealing with the calculations involved, and it is hoped that these facts and figures will serve as a handy aid to those whose mathematical ability has not kept pace with their manual and technical skill.

Algebraic Relations For Property-Composition Curves Of Binary Mixtures, Louis Frank

Journal of the Arkansas Academy of Science

No abstract provided.

Estimates Of Error In Numerical Integration, Dorothy M. Hoover

Journal of the Arkansas Academy of Science

No abstract provided.

Remedial Work On The Division Of Decimals, M. Thomasine Schwind

Bachelors’ Theses

The important element in remedial strategy is the reduction of the necessity for it. Prevent more, so as to have to cure less! In all learning and especially in the processes of arithmetic, our attack must be based upon a four-fold basis. Each is affected by the other three. Initial learning, maintenance, measurement and remedial work are the four components of efficiency. before remedial work can be carried out efficient testing must be done.