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... f ( x) . Descartes’ Rule of Signs If f (x) = anxn + an-1xn-1 + … + a2x2 + a1x + a0 be a polynomial with real coefficients. 1. The number of positive real zeros of f is either equal to the number of sign changes of f (x) or is less than that number by an even integer. If there is only one variation i ...
... f ( x) . Descartes’ Rule of Signs If f (x) = anxn + an-1xn-1 + … + a2x2 + a1x + a0 be a polynomial with real coefficients. 1. The number of positive real zeros of f is either equal to the number of sign changes of f (x) or is less than that number by an even integer. If there is only one variation i ...
IOSR Journal of Mathematics (IOSR-JM) ISSN: 2278-5728. www.iosrjournals.org
... The famous Banach Contraction Principle states that every contraction in a complete metric space has a unique fixed point. It has two core hypotheses: completeness and contractivity. Both notions depend on the definition of the underlying metric. Much recent work has focused on the extension of the ...
... The famous Banach Contraction Principle states that every contraction in a complete metric space has a unique fixed point. It has two core hypotheses: completeness and contractivity. Both notions depend on the definition of the underlying metric. Much recent work has focused on the extension of the ...
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... It is easy to write down the primitive integral <1, 1> (i.e., isosceles) triangles. These triangles have sides s, ss and r, where v and s are positive integers, (i>, s) = 1, and v < 2s. The primitive integral <2, 1> triangles have been determined by Luthar in [2]. If v and s are positive integers wh ...
... It is easy to write down the primitive integral <1, 1> (i.e., isosceles) triangles. These triangles have sides s, ss and r, where v and s are positive integers, (i>, s) = 1, and v < 2s. The primitive integral <2, 1> triangles have been determined by Luthar in [2]. If v and s are positive integers wh ...