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California Polytechnic State University, San Luis Obispo

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Articles 2431 - 2460 of 2553

Full-Text Articles in Physical Sciences and Mathematics

Almost Sure Stability Of Partial Sums Of Uniformly Bounded Random Variables, Theodore P. Hill Dec 1983

Almost Sure Stability Of Partial Sums Of Uniformly Bounded Random Variables, Theodore P. Hill

Research Scholars in Residence

Suppose a1 , a2 ,... is a sequence of real numbers with an → ∞. If lim sup(X1+ ... + Xn)/an = α a.s. for every sequence of independent nonnegative uniformly bounded random variables X1,X2,... satisfying some hypothesis condition A, then for every (arbitrarily-dependent) sequence of nonnegative uniformly bounded random variables Y1,Y2, ... , lim sup(Y1+ ... + Yn)/an = α a.s. on the set where the conditional distributions (given the past) satisfy …

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The Combinatorics Of Certain Products, Don Rawlings Nov 1983

The Combinatorics Of Certain Products, Don Rawlings

Mathematics

A combinatorial interpretation for the coefficients in the expansion of Π(1 + uxjyk)(1 - uxjyk)-1 is given.

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Fe3O4 Precipitation In Magnetotactic Bacteria, Richard B. Frankel, Georgia C. Papaefthymiou, Richard P. Blakemore, Wendy O'Brien Sep 1983

Fe3O4 Precipitation In Magnetotactic Bacteria, Richard B. Frankel, Georgia C. Papaefthymiou, Richard P. Blakemore, Wendy O'Brien

Physics

Using Mössbauer resonance spectroscopy of 57Fe, we have determined the nature and distribution of major iron compounds in the magnetotactic bacterium Aquaspirillum magnetotacticum. In addition to magnetite (Fe3O4), cells contained a low-density hydrous ferric oxide, a high-density hydrous ferric oxide (ferrihydrite), and ferrous iron. Analysis at different temperatures of whole cells harvested early and late in growth, of mutant cells unable to synthesize magnetite, and of cell fractions enriched in 57Fe indicated that Fe3O4 precipitation resulted from partial reduction of the high-density hydrous ferric oxide precursor.

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Determining A Fair Border, Theodore P. Hill Aug 1983

Determining A Fair Border, Theodore P. Hill

Research Scholars in Residence

In a general class of measure-partitioning or fair-division problems, the extremal case occurs when the measures are proportional. Applications are given to classical and recent fair-division problems, and to statistical decision theory.

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On The Generators Of The First Homology With Compact Supports Of The Weierstrass Family In Characteristic Zero, Goro Kato Jul 1983

On The Generators Of The First Homology With Compact Supports Of The Weierstrass Family In Characteristic Zero, Goro Kato

Mathematics

No abstract provided.

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Stop Rule Inequalities For Uniformly Bounded Sequences Of Random Variables, Theodore P. Hill, Robert P. Kertz Jul 1983

Stop Rule Inequalities For Uniformly Bounded Sequences Of Random Variables, Theodore P. Hill, Robert P. Kertz

Research Scholars in Residence

If X0, X1, ... is an arbitrarily-dependent sequence of random variables taking values in [0,1] and if V( X0, X1, ...) is the supremum, over stop rules t, of EXf, then the set of ordered pairs {(x , y): x = V( X0, X1, ..., Xn and y = E(maxjXj for some X0, ... , Xn} is precisely the set Cn = {(x, y): x < y < x(1 + n …

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A Stronger Form Of The Borel-Cantelli Lemma, Theodore P. Hill Jul 1983

A Stronger Form Of The Borel-Cantelli Lemma, Theodore P. Hill

Research Scholars in Residence

No abstract provided.

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The Advantage Of Using Non-Measurable Stop Rules, Theodore P. Hill, Victor C. Prestien May 1983

The Advantage Of Using Non-Measurable Stop Rules, Theodore P. Hill, Victor C. Prestien

Research Scholars in Residence

Comparisons are made between the expected returns using measurable and non-measurable stop rules in discrete-time stopping problems. In the independent case, a natural sufficient condition ("preservation of independence") is found for the expected return of every bounded non-measurable stopping function to be equal to that of a measurable one, and for that of every unbounded non-measurable stopping function to be arbitrarily close to that of a measurable one. For non-negative and for uniformly-bounded independent random variables, universal sharp bounds are found for the advantage of using non-measurable stopping functions over using measurable ones. Partial results for the dependent case are …

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Science And Society Test Viii: The Arms Race Revisited, David W. Hafemeister Mar 1983

Science And Society Test Viii: The Arms Race Revisited, David W. Hafemeister

Physics

Approximate numerical estimates are developed in order to quantify a variety of aspects of the arms race. The results of these calculations are consistent with either direct observations or with more sophisticated calculations. This paper will cover some of the following aspects of the arms race: (1) the electromagnetic pulse (EMP); (2) spy satellites; (3) ICBM accuracy; (4) NAVSTAR global positioning satellites; (5) particle and laser beam weapons; (6) the neutron bomb; and (7) war games.

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On The Theory Of Homogeneous Lipschitz Spaces And Campanato Spaces, Harvey Greenwald Jan 1983

On The Theory Of Homogeneous Lipschitz Spaces And Campanato Spaces, Harvey Greenwald

Mathematics

In this paper the equivalence between the Campanato spaces and homogeneous Lipschitz spaces is shown through the use of elementary and constructive means. These Lipschitz spaces can be defined in terms of derivatives as well as differences.

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Basic Physics Of Emp, Beam Weapons, And Abm, David W. Hafemeister Jan 1983

Basic Physics Of Emp, Beam Weapons, And Abm, David W. Hafemeister

Physics

No abstract provided.

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A Chronology Of The Nuclear Arms Race, David W. Hafemeister Jan 1983

A Chronology Of The Nuclear Arms Race, David W. Hafemeister

Physics

No abstract provided.

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Interactive Computer Graphics: The Arms Race, David W. Hafemeister Jan 1983

Interactive Computer Graphics: The Arms Race, David W. Hafemeister

Physics

No abstract provided.

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Zeta Matrices Of Elliptic Curves, Goro Kato, Saul Lubkin Dec 1982

Zeta Matrices Of Elliptic Curves, Goro Kato, Saul Lubkin

Mathematics

Let O=limnZ/pnZ, , let A=O[g2,g3] Δ, where g2 and g3 are coefficients of the elliptic curve: Y2 = 4X3 − g2X − g3 over a finite field and Δ = g23 − 27g32 and let B=A[X,Y]/(Y2-4X3+g2X+g3). Then the p-adic cohomology theory will be applied to compute explicitly the zeta matrices of the elliptic curves, induced by the pth power map on the free AzQ -module H1(X, AzQ). Main results are; Theorem 1.1: X …

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Iron-Containing Cells In The Honey Bee (Apis Mellifera), Deborah A. Kuterbach, Benjamin Walcott, Richard J. Reeder, Richard B. Frankel Nov 1982

Iron-Containing Cells In The Honey Bee (Apis Mellifera), Deborah A. Kuterbach, Benjamin Walcott, Richard J. Reeder, Richard B. Frankel

Physics

Honey bees are sensitive to earth strength magnetic fields and are reported to contain magnetite (Fe3O4) in their abdomens. We report bands of cells around each abdominal segment that contain numerous electron-opaque, iron-containing granules. The iron is principally in the form of hydrous iron oxides.

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Birefringence Determination Of Magnetic Moments Of Magnetotactic Bacteria, Charles Rosenblatt, F. F. Torres De Araujo, Richard B. Frankel Oct 1982

Birefringence Determination Of Magnetic Moments Of Magnetotactic Bacteria, Charles Rosenblatt, F. F. Torres De Araujo, Richard B. Frankel

Physics

A birefringence technique is used to determine the average magnetic moments of magnetotactic bacteria in culture. Differences in are noted between live and dead bacteria, as well as between normal density and high density samples of live bacteria.

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Conditional Generalizations Of Strong Laws Which Conclude The Partial Sums Converge Almost Surely, Theodore P. Hill Aug 1982

Conditional Generalizations Of Strong Laws Which Conclude The Partial Sums Converge Almost Surely, Theodore P. Hill

Research Scholars in Residence

Suppose that for every independent sequence of random variables satisfying some hypothesis condition H, it follows that the partial sums converge almost surely. Then it is shown that for every arbitrarily-dependent sequence of random variables, the partial sums converge almost surely on the event where the conditional distributions (given the past) satisfy precisely the same condition H. Thus many strong laws for independent sequences may be immediately generalized into conditional results for arbitrarily-dependent sequences.

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Comparisons Of Stop Rule And Supremum Expectations Of I.I.D. Random Variables, Theodore P. Hill, Robert P. Kertz May 1982

Comparisons Of Stop Rule And Supremum Expectations Of I.I.D. Random Variables, Theodore P. Hill, Robert P. Kertz

Research Scholars in Residence

Implicitly defined (and easily approximated) universal constants 1.1 < an < 1.6, n = 2,3, ... , are found so that if X1, X2, ... are i.i.d. non-negative random variables and if the Tn is the set of stop rules for X1, ..., Xn, then E (max {X1, ..., Xn}) ≤ ansup {EXt : t ε Tn}, and the bound an is best possible. Similar universal constants 0 < bn < 1/4 are found so that if the (Xi) are i.i.d. random variables taking values only in …

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Fe Hyperfine Fields In Fe3-XVXSi Alloys, T. J. Burch, C. A. Weiler, K. Raj, J. I. Budnick, V. Niculescu, G. C. Papaefthymiou, Richard B. Frankel Apr 1982

Fe Hyperfine Fields In Fe3-XVXSi Alloys, T. J. Burch, C. A. Weiler, K. Raj, J. I. Budnick, V. Niculescu, G. C. Papaefthymiou, Richard B. Frankel

Physics

The Mössbauer spectra of Fe in Fe3-xVxSi alloys for 0≤x≤1 shows that V occupies almost exclusively one of two Fe sites (the B site). As x increases the spectra of Fe on the other site (the A, C site) becomes increasingly complex as the number of their V 1st neighbors increases. Simulated Mössbauer spectra were calculated using moments obtained by a simple model from bulk magnetization and V NMR data. This model assumes a decrease in Fe(A, C) moments as the number of their Fe 1st neighbors decreases. Comparison of the Fe(B) field of the alloy …

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Light Scattering Determination Of Magnetic Moments Of Magnetotactic Bacteria (Invited), Charles Rosenblatt, F. F. Torres De Araujo, Richard B. Frankel Mar 1982

Light Scattering Determination Of Magnetic Moments Of Magnetotactic Bacteria (Invited), Charles Rosenblatt, F. F. Torres De Araujo, Richard B. Frankel

Physics

Light scattering is used to determine the average lengths and magnetic moments of magnetotactic bacteria in culture. The results are consistent with estimates made from electron micrographs.

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Magnetotactic Bacteria, Richard B. Frankel Jan 1982

Magnetotactic Bacteria, Richard B. Frankel

Physics

No abstract provided.

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Additive Comparisons Of Stop Rule And Supremum Expectations Of Uniformly Bounded Independent Random Variables, Theodore P. Hill, Robert P. Kertz Nov 1981

Additive Comparisons Of Stop Rule And Supremum Expectations Of Uniformly Bounded Independent Random Variables, Theodore P. Hill, Robert P. Kertz

Research Scholars in Residence

Let XI, X2, . . . be independent random variables taking values in [a, b], and let T denote the stop rules for X1, X2, Then E(supn>1 Xn) - sup{ EXt t ≡ T} < (1/4)(b - a), and this bound is best possible. Probabilistically, this says that if a prophet (player with complete foresight) makes a side payment of (b - a)/8 to a gambler (player using nonanticipating stop rules), the game becomes at least fair for the gambler.

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Comparative Properties Of Old- And Young-Growth Giant Sequoia Of Potential Significance To Wood Utilization, Douglas D. Piirto, W. Wayne Wilcox Jul 1981

Comparative Properties Of Old- And Young-Growth Giant Sequoia Of Potential Significance To Wood Utilization, Douglas D. Piirto, W. Wayne Wilcox

Natural Resources Management and Environmental Sciences

A comparative study and a literature review were made on various wood properties (e.g. anatomical characteristics, mechanical properties, specific gravity, content and properties of extractives and decay resistance) of old- and young-growth giant sequoia. Various causes for variability in decay resistance were examined.

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Magnetotactic Bacteria At The Geomagnetic Equator, Richard B. Frankel, R. P. Blakemore, F. F. Torres De Araujo, D. M. S. Esquivel, J. Danon Jun 1981

Magnetotactic Bacteria At The Geomagnetic Equator, Richard B. Frankel, R. P. Blakemore, F. F. Torres De Araujo, D. M. S. Esquivel, J. Danon

Physics

Magnetotactic bacteria are present in fresh water and marine sediments of Fortaleza, Brazil, situated close to the geomagnetic equator. Both South-seeking and North-seeking bacteria are present in roughly equal numbers in the same samples. This observation is consistent with the hypothesis that the vertical component of the geomagnetic field selects the predominant polarity type among magnetotactic bacteria in natural environments.

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Ratio Comparisons Of Supremum And Stop Rule Expectations, Theodore P. Hill, Robert P. Kertz Jun 1981

Ratio Comparisons Of Supremum And Stop Rule Expectations, Theodore P. Hill, Robert P. Kertz

Research Scholars in Residence

Suppose X1,X2,...,Xn are independent non-negative random variables with finite positive expectations. Let Tn denote the stop rules for X1,...,Xn. The main result of this paper is that E(max{X1,...,Xn }) sup{EXt t ε Tn }. The proof given is constructive, and sharpens the corresponding weak inequalities of Krengel and Sucheston and of Garling.

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The (Q, R)-Simon Newcomb Problem, Don Rawlings Jan 1981

The (Q, R)-Simon Newcomb Problem, Don Rawlings

Mathematics

A new statistic, the r-major index, is defined for sequences. A linear recurrence is then derived that enumerates sequences by r-descent number and r-major index.

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The R-Major Index, Don Rawlings Jan 1981

The R-Major Index, Don Rawlings

Mathematics

The r-major index is a new permutation statistic that is suggested by the work of Carlitz and Gausner on Foulkes' skew hook rule for computing the r-Eulerian numbers. The new statistic (1) generalizes both the major index and the inversion number of a permutation and (2) leads to a q-analog of the r-Eulerian numbers.

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Generalized Worpitzky Identities With Applications To Permutation Enumeration, Don Rawlings Jan 1981

Generalized Worpitzky Identities With Applications To Permutation Enumeration, Don Rawlings

Mathematics

The enumeration of permutations by inversions often leads to a q -analog of the usual generating function. In this paper, two generalizations of the Worpitzky identity for the Eulerian numbers are obtained and used to enumerate permutations by the descent number and the major index of their inverses. The resulting (t, q)-generating series do in fact generalize the q-series obtained when counting by inversions.

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Quasi-Extended Asymptotic Functions, Todor D. Todorov Jan 1981

Quasi-Extended Asymptotic Functions, Todor D. Todorov

Mathematics

The class F of "quasi-extended asymptotic functions" introduced in the present paper contains all extended asymptotic functions [8, (3.1)] (in particular, all examples constructed in [9, Sec. 1 ]). But F contains also some new asymptotic functions very similar to tht Schwartz distributions. On the other hand, every two quasi-extended asymptotic functions can be multiplied as opposed to the Schwartz distributions; in particular, the square &# 948;2 of an asymptotic function &# 948; similar to Dirac's delta-function is constructed as an example. The connection with the asymptotic functions introduced in [2] and [4] is established.

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Asymptotic Functions And The Problem Of Multiplication Of Distributions, Todor D. Todorov Jan 1981

Asymptotic Functions And The Problem Of Multiplication Of Distributions, Todor D. Todorov

Mathematics

The asymptotic functions are a new type of generalized functions. But they are not functionals on some space of test-functions as the Schwartz distributions. They are mappings of the set of the asymptotic numbers (1, 3, 5, 6) into itself. On its part, the set of the asymptotic numbers is a totally-ordered set of generalized numbers including the systems of real and complex numbers, as well as infinitesimals and infinitely large numbers. Every two asymptotic functions can be multiplied. On the other hand, the Schwartz distributions have realizations, in a certain sense, as asymptotic functions. The motivations of this work …

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