2,616 research outputs found

    James bundles

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    We study cubical sets without degeneracies, which we call {square}-sets. These sets arise naturally in a number of settings and they have a beautiful intrinsic geometry; in particular a {square}-set C has an infinite family of associated {square}-sets Ji(C), for i = 1, 2, ..., which we call James complexes. There are mock bundle projections pi: |Ji(C)| -> |C| (which we call James bundles) defining classes in unstable cohomotopy which generalise the classical James–Hopf invariants of {Omega}(S2). The algebra of these classes mimics the algebra of the cohomotopy of {Omega}(S2) and the reduction to cohomology defines a sequence of natural characteristic classes for a {square}-set. An associated map to BO leads to a generalised cohomology theory with geometric interpretation similar to that for Mahowald orientation

    Student attitudes, learning effectiveness, and costs/benefits pertaining to military logistics courses offered in the residence, on-site, and satellite television modes of instruction

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    Using period newspapers and books, mercantile correspondence, Spanish imperial archives, and the colonial records of the Caracas City Council, Consulado, and Venezuelan Intendancy, this dissertation highlights the enterprises of those who profited from sustaining the Spanish Empire in its frail and debilitated state. Whether they had prospered from or merely survived the commercial revolutions that shook the Atlantic World after 1789, all merchants and traders calculated the economic consequences of South American independence and encouraged their contemporaries to do so too

    Performance of a Brayton power system with a space type radiator

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    Test results of an experimental investigation to measure Brayton engine performance while operating at the sink temperatures of a typical low earth orbit are presented. The results indicate that the radiator area was slightly oversized. The steady state and transient responses of the power system to the sink temperatures in orbit were measured. During the orbital operation, the engine did not reach the steady state operation of either sun or shade conditions. The alternator power variation during orbit was + or - 4 percent from its mean value of 9.3 kilowatts

    The Kervaire-Laudenbach conjecture and presentations of simple groups

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    The statement ``no nonabelian simple group can be obtained from a nonsimple group by adding one generator and one relator" 1) is equivalent to the Kervaire--Laudenbach conjecture; 2) becomes true under the additional assumption that the initial nonsimple group is either finite or torsion-free. Key words: Kervaire--Laudenbach conjecture, relative presentations, simple groups, car motion, cocar comotion. AMS MSC: 20E32, 20F05, 20F06.Comment: 20 pages, 13 figure

    Evaluation of be-38 percent al alloy final report, 27 jun. 1964 - 28 feb. 1965

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    Mechanical properties, microstructural features, and general metallurgical quality of beryllium- aluminum allo

    Development of magnetostrictive active members for control of space structures

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    The goal of this Phase 2 Small Business Innovative Research (SBIR) project was to determine the technical feasibility of developing magnetostrictive active members for use as truss elements in space structures. Active members control elastic vibrations of truss-based space structures and integrate the functions of truss structure element, actively controlled actuator, and sensor. The active members must control structural motion to the sub-micron level and, for many proposed space applications, work at cryogenic temperatures. Under this program both room temperature and cryogenic temperature magnetostrictive active members were designed, fabricated, and tested. The results of these performance tests indicated that room temperature magnetostrictive actuators feature higher strain, stiffness, and force capability with lower amplifier requirements than similarly sized piezoelectric or electrostrictive active members, at the cost of higher mass. Two different cryogenic temperature magnetostrictive materials were tested at liquid nitrogen temperatures, both with larger strain capability than the room temperature magnetostrictive materials. The cryogenic active member development included the design and fabrication of a cryostat that allows operation of the cryogenic active member in a space structure testbed

    Protein Feeds for the War Period

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    The shortage of high-protein feeds and protein supplements for livestock is becoming more acute every day. Supplies of animal protein are not large enough to meet present needs mainly because of the increased demand for them due to (1) greater use of protein feeds by livestock producers in order to provide more milk, meat, and eggs, and (2) the need for larger amounts of casein and other animal proteins, as well as certain vegetable proteins, in war industries. It has been estimated that the shortage of protein concentrates in the United States will exceed 1,810,000 tons for 1943.\u27 Because of this shortage it is very important to the war effort that every livestock producer-farmer, rancher, and livestock feeder-do everything within his power to use existing supplies efficiently and to produce more protein feeds. He can use them best by avoiding overfeeding and other waste of feed, culling out low-producing animals and selling them, and using methods approved by authorities to control diseases and maintain sanitation

    Free subgroups of one-relator relative presentations

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    Suppose that G is a nontrivial torsion-free group and w is a word over the alphabet G\cup\{x_1^{\pm1},...,x_n^{\pm1}\}. It is proved that for n\ge2 the group \~G= always contains a nonabelian free subgroup. For n=1 the question about the existence of nonabelian free subgroups in \~G is answered completely in the unimodular case (i.e., when the exponent sum of x_1 in w is one). Some generalisations of these results are discussed.Comment: V3: A small correction in the last phrase of the proof of Theorem 1. 4 page
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