53,646 research outputs found
Experimental study of longitudinal and transverse spin polarization in LEED from platinum (111)
Bauer P, Eckstein W, Müller N. Experimental study of longitudinal and transverse spin polarization in LEED from platinum (111). Zeitschrift für Physik, B: Condensed Matter. 1983;52(3):185-192
W. C. Truelove and Lou Bauer
W. C. Truelove, left, and Lou Bauer, of the Fort Worth Cats, standing on LaGrave Field. Both are wearing their Fort Worth Cats baseball uniforms and caps. Truelove is looking to his left while Bauer looks to his right.https://mavmatrix.uta.edu/specialcollections_startelegram1940s/13510/thumbnail.jp
Trivializable sub-Riemannian structures on spheres
We classify the trivializable sub-Riemannian structures on odd-dimensional spheres S-N that are induced by a Clifford module structure of RN+1. The underlying bracket generating distribution is of step two and spanned by a set of global linear vector fields X-1, ... , X-m. As a result we show that such structures only exist in the cases where N = 3, 7, 15. The corresponding hypo-elliptic sub-Laplacians Delta(sub) are defined as the (negative) sum of squares of the vector fields X-j. In the case of a trivializable rank four distribution on S-7 and a trivializable rank eight distribution on S-15 we obtain a part of the spectrum of Delta(sub). We also remark that in both cases there is a relation between the eigenfunctions and Jacobi polynomials. (C) 2012 Elsevier Masson SAS. All rights reserved
Bauer, Willard C. (Death, 1893-10-10)
Address: Marshall Avenue Near Spring GroveAge at death: 1-6-3156/Pg 98/1893/M W S/Cinti, Ohio/Dr. C. B. Van Metre/Joseph Schreiber/Spring Grove Cem.Original record filed in drawer labeled 'BAUER,V.-BEAL'
VINYLLITHIUM - DYNAMIC BEHAVIOR IN TETRAHYDROFURAN SOLUTION AND COMPREHENSIVE ANALYSIS OF NMR SPIN-SPIN COUPLING-CONSTANTS
Vinyllithium (ViLi; isotopically labeled with Li-6) is an 8:1 tetramer/dimer equilibrium in tetrahydrofuran-d8 (THF-d8) at -90-degrees-C (1.6 M solution). In the presence of equilmolar amounts of TMEDA (tetramethylethylenediamine), the tetramer:dimer ratio is 1:13 in THF-d8 at -80-degrees-C (1.9 M solution). Dynamic NMR phenomena are observed in the ViLi tetramer: at -90-degrees-C in THF-d8, a 'static' aggregate is found, whereas at -60 -degrees-C rapid intraaggregate exchange of the four lithium sites indicates a 'fluxional' tetramer. Within a 'static' tetramer, rapid tumbling of a monomer unit is deduced from C, Li and H, Li NMR coupling patterns. From tilts within cross peak multiplets in H-1, C-13 HETCOR spectra of ViLi (due to coupling with the passive Li-6 spin), it is concluded that the sign of 1J(C-13, Li-6) is positive. In a fully coupled heteronuclear Li-6, H-1 shift correlation experiment (FUCOUP), an intense and a weaker cross peak are observed between Li-6, H(gem) and Li-6, H(trans), respectively, of tetrameric ViLi. This is indicative of scalar Li-6, H-1 coupling. In a Li-6, H-1 FUCOUP spectrum with a small (36-degrees) H-1 mixing pulse ('beta-FUCOUP'), the tilt of the Li-6, H(trans) cross peak indicates the sign and magnitude of 2J(Li-6, H(gem)) to be +0.4Hz. Analogous to the tetramer, Li-6, H-1 beta-FUCOUP of the dimer reveals 3J(Li-6, H(trans)) to be +0.4 Hz. The C-13, C-13 coupling constant in vinyllithium is extraordinarily small (dimer, 35.0 Hz; tetramer, 36.3 Hz). Likewise,the one-bond C-13, H-1 coupling constant 1J(C1, H(gem)) is the lowest reported so far for monosubstituted ethylenes (dimer, 91.7 Hz; tetramer, 93.2 Hz). By combination of C-13 gated decoupled and C-13, H-1 beta-FUCOUP data, extreme numbers are also found for geminal 2J(C-13, H-1) coupling constants: dimer, 2J(C1, H(cis)) = +13.5 HZ; 2J(C1, H(trans) = -5.9 Hz; 2J(C2, H(gem)) = -10.5 Hz; tetramer, 2J(C1, H(cis)) = +13.5 HZ; 2J(C1, H(trans)) = -6.1 HZ; 2J(C2,H(gem)) = -12.1 Hz
Spectral zeta function of the sub-Laplacian on two step nilmanifolds
AbstractWe study the heat kernel trace and the spectral zeta function of an intrinsic sub-Laplace operator ΔL∖Gsub on a two step compact nilmanifold L∖G. Here G is an arbitrary nilpotent Lie group of step 2 and we assume the existence of a lattice L⊂G. We essentially use the well-known heat kernel expressions of the sub-Laplacian on G due to Beals, Gaveau and Greiner. In contrast to the spectral zeta function of the Laplacian on L∖G which can have infinitely many simple poles it turns out that in case of the sub-Laplacian only one simple pole occurs. Its residue divided by the volume of L∖G is independent of L and can be expressed by the Lie group structure of G. By standard arguments this result is equivalent to a specific asymptotic behaviour of the heat kernel trace of ΔL∖Gsub as time tends to zero. As an example we explicitly calculate the spectrum of the sub-Laplacian ΔL∖Gsub in case of the six-dimensional free nilpotent Lie group G and a standard lattice L⊂G by using a decomposition of ΔL∖Gsub into a family of elliptic operators
Bauer (Birth, 1891-06-10)
Address: Ross ave.3452/Pg. 101/1891/M W/Ohio/america/Dr. C. W. OrrOriginal record filed in drawer labeled 'BATES-BAUER,V'
Bauer, Chas. C. (Death, 1898-07-04)
Address: 2607 Cook St.Age at death: 2 yrs.Pg 63/1898/58/M W S/City/Dr. W. W. Barber/E. Busse/RaschigOriginal record filed in drawer labeled 'BATES-BAUER,V'
Bauer, Agnes C. (Death, 1889-01-18)
Address: 614 Queen City Ave.Age at death: 15 da.Pg 112/1889/258/F W S/City/Dr. E. W endland/W. Osseforth/St. John'sOriginal record filed in drawer labeled 'BATES-BAUER,V'
Bauer (Birth, 1899-03-28)
Address: 225 Mulberry St.4188/Pg 27/1899/M W/Ill.s/Cinti/Dr. C. C. LauderOriginal record filed in drawer labeled 'BATES-BAUER,V'
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