Transcendental equation in quadratic form and its solution
نویسندگان
چکیده
منابع مشابه
Quadratic Fields and Transcendental Numbers
Mohammad Zaki, MN State Univ, Mankato We define an algebraic number α as a root of an algebraic equation, a0∗x+a1∗x+· · ·+an−1∗x+an = 0 where ao, a1, · · · , an are rational integers, not all zero. We say α is an algebraic integer if a0 = 0. If an algebraic number α satisfies an algebraic equation of degree n with rational coefficients, and none of lower degree, then we say α is of degree n. If...
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and set Λ1 = y > 0. We shall occasionally write Λp(y) to emphasize the dependence of Λp on the initial value y. It is clear that Λp(cy) = c Λp(y). Therefore if Λp(y) → ∞ as p → ∞ and c > 1, then Λp(y ) → ∞ as p → ∞ where y = cy. On the other hand if Λp(y) → 0 and 0 < c < 1, then Λp(y ) → 0. Thus there exist y and y such that Λp(y) → ∞ for y ∈ (y,∞) with y as small as possible and Λp(y) → 0 for ...
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Solving Quadratic equation is one of the intrinsic interests as it is the simplest nonlinear equations. A novel approach for solving Quadratic Equation based on Genetic Algorithms (GAs) is presented. Genetic Algorithms (GAs) are a technique to solve problems which need optimization. Generation of trial solutions have been formed by this method. Many examples have been worked out, and in most ca...
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I. Introduction. The solutions of the quadratic equation ax2 + bx+c = 0, where a, b, and c are real numbers, are given in exact form by the quadratic formula. Moreover, if the roots are real and irrational, Newton's method or continued fractions may be used to approximate the solutions.
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ژورنال
عنوان ژورنال: Bangladesh Journal of Scientific and Industrial Research
سال: 2012
ISSN: 2224-7157,0304-9809
DOI: 10.3329/bjsir.v47i2.11460