منابع مشابه
Parametric Catalan Numbers and Catalan Triangles
Here presented a generalization of Catalan numbers and Catalan triangles associated with two parameters based on the sequence characterization of Bell-type Riordan arrays. Among the generalized Catalan numbers, a class of large generalized Catalan numbers and a class of small generalized Catalan numbers are defined, which can be considered as an extension of large Schröder numbers and small Sch...
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A celebrated result in Ramsey Theory states that the order of magnitude of the trianglecomplete graph Ramsey numbers R(3, t) is t/ log t. In this paper, we consider an analogue of this problem for uniform hypergraphs. A triangle is a hypergraph consisting of edges e, f, g such that |e∩ f | = |f ∩ g| = |g ∩ e| = 1 and e ∩ f ∩ g = ∅. For all r ≥ 2, let R(C3,K t ) be the smallest positive integer ...
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respectively. It is conventional to use the notation x+iy (or in electrical engineering country x+jy) to stand for the complex number (x, y). In other words, it is conventional to write x in place of (x, 0) and i in place of (0, 1). In this notation, the sum and product of two complex numbers z1 = x1 + iy1 and z2 = x2 + iy2 is given by z1 + z2 = (x1 + x2) + i(y1 + y2) z1z2 = x1x2 − y1y2 + i(x1y...
متن کاملComplex Numbers and Exponentials
respectively. It is conventional to use the notation x+iy (or in electrical engineering country x+jy) to stand for the complex number (x, y). In other words, it is conventional to write x in place of (x, 0) and i in place of (0, 1). In this notation, the sum and product of two complex numbers z1 = x1 + iy1 and z2 = x2 + iy2 is given by z1 + z2 = (x1 + x2) + i(y1 + y2) z1z2 = x1x2 − y1y2 + i(x1y...
متن کاملComplex Numbers and Exponentials
A complex number is nothing more than a point in the xy–plane. The first component, x, of the complex number (x, y) is called its real part and the second component, y, is called its imaginary part, even though there is nothing imaginary about it. The sum and product of two complex numbers (x1, y1) and (x2, y2) are defined by (x1, y1) + (x2, y2) = (x1 + x2, y1 + y2) (x1, y1) (x2, y2) = (x1x2 − ...
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ژورنال
عنوان ژورنال: The Mathematical Gazette
سال: 2015
ISSN: 0025-5572,2056-6328
DOI: 10.1017/mag.2015.54