Results for 'Matrin Farach'

6 found
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  1.  33
    Randomization, Persuasiveness and Rigor in Proofs.Catherine Womach & Matrin Farach - 2003 - Synthese 134 (1):71-84.
  2.  41
    Pauli-Dirac Matrix Generators of Clifford Algebras.Charles P. Poole & Horacio A. Farach - 1982 - Foundations of Physics 12 (7):719-738.
    This article presents a Pauli-Dirac matrix approach to Clifford Algebras. It is shown that the algebra C2 is generated by two Pauli matrices iσ2 and iσ3; C3 is generated by the three Pauli matrices σ1, σ2, σ3; C4 is generated by four Dirac matrices γ0, γ1, γ2, γ3 and C5 is generated by five Dirac matrices iγ0, iγ1, iγ2, iγ3, iγ5. The higher dimensional anticommuting matrices which generate arbitrarily high order Clifford algebras are given in closed form. The results obtained (...)
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  3.  6
    Effects of Induced and Naturalistic Mood on the Temporal Allocation of Attention to Emotional Information.Frank J. Farach, Teresa A. Treat & Justin A. Jungé - 2014 - Cognition and Emotion 28 (6):993-1011.
  4.  12
    A Vector Product Formulation of Special Relativity and Electromagnetism.Charles P. Poole, Horacio A. Farach & Yakir Aharonov - 1980 - Foundations of Physics 10 (7-8):531-553.
    The vector product method developed in previous articles for space rotations and Lorentz transformations is extended to the cases of four-vectors, anti-symmetric tensors, and their transformations in Minkowski space. The electromagnetic fields are expressed in “six-vector” form using the notationH +iE, and this vector form is shown to be relativistically invariant. The wave equations of electromagnetism are derived using these vector products. The following three equations are deduced, which summarize electrodynamics in a compact form: (1) Maxwell's four equations expressed as (...)
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  5.  5
    Randomization, Persuasiveness and Rigor in Proofs.Catherine A. Womack & Martin Farach - unknown
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  6.  61
    The Reliability of Randomized Algorithms.D. Fallis - 2000 - British Journal for the Philosophy of Science 51 (2):255-271.
    Recently, certain philosophers of mathematics (Fallis [1997]; Womack and Farach [(1997]) have argued that there are no epistemic considerations that should stop mathematicians from using probabilistic methods to establish that mathematical propositions are true. However, mathematicians clearly should not use methods that are unreliable. Unfortunately, due to the fact that randomized algorithms are not really random in practice, there is reason to doubt their reliability. In this paper, I analyze the prospects for establishing that randomized algorithms are reliable. I (...)
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