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Full-Text Articles in Physical Sciences and Mathematics
Zeta Matrices Of Elliptic Curves, Goro Kato, Saul Lubkin
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 …
Iron-Containing Cells In The Honey Bee (Apis Mellifera), Deborah A. Kuterbach, Benjamin Walcott, Richard J. Reeder, Richard B. Frankel
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.
Birefringence Determination Of Magnetic Moments Of Magnetotactic Bacteria, Charles Rosenblatt, F. F. Torres De Araujo, Richard B. Frankel
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.
Conditional Generalizations Of Strong Laws Which Conclude The Partial Sums Converge Almost Surely, Theodore P. Hill
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.
Comparisons Of Stop Rule And Supremum Expectations Of I.I.D. Random Variables, Theodore P. Hill, Robert P. Kertz
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 …
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
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 …
Light Scattering Determination Of Magnetic Moments Of Magnetotactic Bacteria (Invited), Charles Rosenblatt, F. F. Torres De Araujo, Richard B. Frankel
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.
Magnetotactic Bacteria, Richard B. Frankel