Results 211 to 220 of about 872 (250)
The Effect of Using Engaging Distraction via Virtual Reality on Stress and Anxiety among Patients with Cancer Undergoing Chemotherapy in Palestine: A Randomized Controlled Trial. [PDF]
Abu Liel F, Salameh B, Ayed A, Aqtam I.
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Gaining the Upper Hand? Further Evidence of Pain as a Pleasurable Experience and the Unexpected Relationship Between Sadomasochistic Sexual Preference and Chronic Pain. [PDF]
Vetterlein A +4 more
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Layer-Specific Astrocyte Morphological Responses in the CA3 Hippocampus Region During Piry Virus-Induced Encephalitis. [PDF]
de Almeida Miranda D +10 more
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An Alternate Proof of Cramer's Rule
In almost every introductory book on linear algebra, the proof of Cramer's Rule assumes that students are familiar with the classical adjoint, adjyl, of a matrix A. The proof then uses the result that ^4(adj A) = (det^l)J. In their text Matrix Analysis [Cambridge University Press, New York, 1985, p. 21], Roger A. Horn and Charles A.
Stephen H. Friedberg
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A Geometrical Approach to Cramer's Rule
(1989). A Geometrical Approach to Cramer's Rule. Mathematics Magazine: Vol. 62, No. 1, pp. 35-37.
J. W. Orr
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A Nonstandard Approach to Cramer's Rule
Sidney H. Kung, Jacksonville, FL Most textbooks in linear algebra develop Cramer's rule via the adjoint matrix. Therefore, the following approach may be worth noting. Cramer'_ rule. If the coefficient matrix A of the system + *_,.*,. = *i ^ir*_ ' a\2x2 ' a2-\X-\ i a22x2 i a) a?iX1 + an2x2 + ??? +annxn = b? has nonzero determinant, then the system has a
Sidney H. Kung
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A Conceptual Proof of Cramer's Rule
Proof. The classical way to solve a linear equation system is by performing row operations: (i) add one row to another row, (ii) multiply a row with a nonzero scalar and (iii) exchange two rows. We show that the quotient in equation (1) will not change under row operations.
Richard Ehrenborg
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Cramer's rule in the Zariski topos
This note is a remark on Kock's work on linear algebra in the Zariski topos [2] . We point out that his main result implies a version of Cramer's rule for the generic local A-algebra in the Zariski topos Z/Spec(A) . A constructive version of the Jacobian criterion for unramified morphisms of [4] is obtained as a consequence.
Gonzalo E. Reyes
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