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on the effect of linear & non-linear texts on students comprehension and recalling
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15 صفحه اولOn the Linear Combinations of Slanted Half-Plane Harmonic Mappings
In this paper, the sufficient conditions for the linear combinations of slanted half-plane harmonic mappings to be univalent and convex in the direction of $(-gamma) $ are studied. Our result improves some recent works. Furthermore, a illustrative example and imagine domains of the linear combinations satisfying the desired conditions are enumerated.
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In this paper, we deal with compact linear mappings of a normed linear space, within the framework of Bishop's constructive mathematics. We prove the constructive substitutes for the classically well-known theorems on compact linear mappings: T is compact if and only if T* is compact; if S is bounded and if T is compact, then TS is compact; if S and T is compact, then S+ T is compact.
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There are various concepts of structure preserving mappings in geometry. It is the aim of the present paper to give a survey on geometrical characterizations of some of those mappings. We discuss the results for projective spaces in some detail and report on generalizations to other spaces. We shall come across partially defined mappings. The notation φ : P → P ′ is used in order to point out t...
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Let A be a nonsingular n by n matrix over the finite field GFq, k = bn2 c, q = p, a ≥ 1, where p is prime. Let P (A, q) denote the number of vectors x in (GFq) such that both x and Ax have no zero component. We prove that for n ≥ 2, and q > 2 ( 2n 3 ) , P (A, q) ≥ [(q − 1)(q − 3)](q − 2)n−2k and describe all matrices A for which the equality holds. We also prove that the result conjectured in [...
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ژورنال
عنوان ژورنال: Pacific Journal of Mathematics
سال: 1982
ISSN: 0030-8730,0030-8730
DOI: 10.2140/pjm.1982.102.329