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On the Analytic Determination of the Trace Form
Canadian Mathematical Bulletin, 1985AbstractThe Dedekind zeta function of an algebraic number field E determines the rational equivalence class of the trace form of E. The Hasse symbols of the trace form are related to the local Artin root numbers of the zeta function by formulas of Serre and Deligne.
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2017
In this chapter, we introduce the concept of determinant in various ways. The invariant subspaces, the eigen values, the spectral theorem, the geometry of orthogonal transformations, and the geometry of bilinear forms also constitute the subject matter of this paper.
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In this chapter, we introduce the concept of determinant in various ways. The invariant subspaces, the eigen values, the spectral theorem, the geometry of orthogonal transformations, and the geometry of bilinear forms also constitute the subject matter of this paper.
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Determinants and Quadratic Forms
1976Interchanging two numbers in the numbering of the vertices is equivalent to the simultaneous interchange of two rows and two columns. If we give opposite vertices of the octahedron numbers that differ by 3, then the determinant $$ \left| {\begin{array}{*{20}c} 0 \hfill & 1 \hfill & 1 \hfill & 0 \hfill & 1 \hfill & 1 \hfill \\ 1 \hfill & 0 \hfill ...
George Pólya, Gabor Szegö
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Factor XII: form determines function
Journal of Thrombosis and Haemostasis, 2016Factor XII is a mysterious plasma protein without a clear physiologic function. It was identified as a clotting factor, but has no clear role in hemostasis. However, FXII also contributes to the production of bradykinin, a short-lived inflammatory peptide.
S, de Maat, C, Maas
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Fluorometric determination of reserpine in dosage forms
Talanta, 1988A rapid and highly sensitive fluorometric procedure has been developed for the routine determination of reserpine, in bulk and in dosage forms. The method is based on the fluorescence induced by oxidation of reserpine with hexa-amminecobalt(III) tricarbonatocobaltate in aqueous acetic acid.
M I, Walash, F, Belal, F A, Aly
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Logical Form as a Determinant of Cognitive Processes
2010We discuss a research program on reasoning patterns in subjects with autism, showing that they fail to engage in certain forms of non-monotonic reasoning that come naturally to neurotypical subjects. The striking reasoning patterns of autists occur both in verbal and in non-verbal tasks.
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Trends in Neurosciences, 1984
The singular shapes of neurons are the fundamental element of neuronal architecture. We now have a significant body of experimental work, on neuronal and nonneuronal cells, which suggests how those shapes might arise: the cellular machinery involved and how that machinery is guided to produce a particular form.
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The singular shapes of neurons are the fundamental element of neuronal architecture. We now have a significant body of experimental work, on neuronal and nonneuronal cells, which suggests how those shapes might arise: the cellular machinery involved and how that machinery is guided to produce a particular form.
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PSA: Proceedings of the Biennial Meeting of the Philosophy of Science Association, 1974
Philosophers are continually challenged to comprehend chance phenomena and probabilistic relationships. Those cases are especially intriguing in which we speak of chance or probability but can hardly attribute this manner of speaking to our being partially or totally ignorant of the situations in question.
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Philosophers are continually challenged to comprehend chance phenomena and probabilistic relationships. Those cases are especially intriguing in which we speak of chance or probability but can hardly attribute this manner of speaking to our being partially or totally ignorant of the situations in question.
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Electrochemical determination of form
2023Pollution of the air and water environment with formaldehyde as a result of anthropogenic influence is a serious problem in Ukraine and the world. Even small amounts of formaldehyde have a negative impact on human health, so it is important to regularly monitor the content of the pollutant in water environments.Direct and indirect methods of analysis ...
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Determination of the normal forms of the hamiltonian matrices
Journal of Applied Mathematics and Mechanics, 1981Abstract A method of finding the generating function of a canonical transformation reducing a quadratic Hamltonian and the corresponding Hamiltonian matrix to some normal form, is obtained. The problem of reducing a fourth order Hamiltonian matrix to its normal form is solved as an example.
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