[PDF] Top 20 Observation on the Binary Quadratic Equation
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Observation on the Binary Quadratic Equation
... The Binary quadratic equation of the form y 2 Dx 2 1 , where D is a non-square positive integer has been studied by various Mathematicians for its non-trivial integral solutions when D takes ... See full document
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Observations on the Non Homogeneous Binary Quadratic Equation 8x2 3y2=20
... --------------------------------------------------------------------***---------------------------------------------------------------------- Abstract – A Non-homogeneous binary quadratic equation ... See full document
8
Observation on the Non-Homogeneous Binary Quadratic Diophantine Equation $5x^2-6y^2=5$
... This communication concerns with the problem of obtaining non-zero distinct integer solutions to the binary quadratic equation given by 5 x 2 − 6 y 2 = 5 representing hyperbola. A few interesting ... See full document
8
Observation on the Positive Pell Equation
... The binary quadratic equation of the form y 2 Dx 2 1 where D is non-square positive integer, has been selected by various mathematicians for its non-trivial integer solutions when D takes ... See full document
7
Observation on the Negative Pell Equation
... Abstract: The binary quadratic equation represented by the negative pellian y 2 40 x 2 36 is analyzed for its distinct integer solutions. A few interesting relations among the solutions are ... See full document
8
OBSERVATION ON THE POSITIVE PELL EQUATION
... The binary quadratic Diophantine equations of the form ax 2 by 2 N , a , b , N 0 are rich in variety and have been analyzed by many Mathematicians for their respective integer solutions for ... See full document
9
On The Binary Quadratic Diophantine Equation X2 3XY+Y2+18X=0
... In this paper , we have made an attempt to obtain a complete set of non-trivial distinct solutions for the non-homogeneous binary quadratic equation. To conclude , one may search for other choices of ... See full document
5
On The Positive Pell Equation $y^2=90 x^2+31$
... pell equation y 2 = 90 x 2 + 31 .As the binary quadratic Diophantine equations are rich in variety, one may search for the other choices of pell equations and determine their integer solutions along ... See full document
7
On the Menezes-Teske-Wengs conjecture
... In 2003, Alfred Menezes, Edlyn Teske and Annegret Weng pre- sented a conjecture on properties of the solutions of a type of quadratic equation over the binary extension fields, which had been ... See full document
10
Integral Solutions of the Diophantine Equation Y2=20x2+4
... the binary quadratic Diophantine equation are rich in variety, one may search for the other choices of binary quadratic Diophantine equation and determine their integral ... See full document
6
On the Binary Quadratic Diophantine Equation Y2=272x2+16
... y representing a hyperbola .A few interesting properties among the solution are presented. Employing the integral solutions of the equation consideration a few patterns of Pythagorean triangles are obtained. ... See full document
7
On Binary Quadratic Equation 2x2 3y2= 4
... x representing hyperbola. A few interesting relations among its solutions are presented. Knowing an integral solution of the given hyperbola, integer solutions for other choices of hyperbolas and parabolas are presented. ... See full document
6
ON THE BINARY QUADRATIC EQUATION ax2-a(a+1)y2 = a
... The binary quadratic Diophantine equations (both homogeneous and non-homogeneous) are rich in ...the binary quadratic non-homogeneous equations representing hyperbolas respectively are studied ... See full document
7
Examining the Nature of Preservice Teachers¿ Understanding of Inequalities Applied in the Practice of Teaching.
... Inequalities are an important concept in mathematics. The reach of inequalities extends beyond the confines of algebra. Inequalities can be found in trigonometry, geometry, operational research (linear programming), ... See full document
424
Quadratic $alpha$-functional equations
... Cauchy equation was proved by Brzdek [4]. The functional equation f(x + y) + f(x − y) = 2f(x) + 2f(y) is called the quadratic functional ...the quadratic functional equation is said to ... See full document
9
16. A quadratic type functional equation
... the quadratic functional ...is quadratic if and only if there exists a unique symmetric bi-additive function 𝐵 such that 𝑓 (𝑥) = 𝐵(𝑥, 𝑥) for all 𝑥 ∈ 𝒳 ; see ... See full document
7
Observation on the Negative Pell Equation
... y have integer solutions. In this context, one may refer [4-10] for a few negative pell equations with integer solutions. In this communication, the negative pell equation given by y 2 12 x 2 23 is considered ... See full document
7
The Inconsistency of the Quadratic Mincer Equation: A Proof
... funct f t is a large fraction of one’s current wage at the beginning of the career, when t is low. This implies that when individuals are just beginning their careers they choose an investment in further education that ... See full document
6
A Continuous Approach to Binary Quadratic Problems
... ∈ = (2) However, the continuous method proposed later in this paper is also applicable to the general binary quadratic programming (1), which can be easily accomplished by simple variable transformation. ... See full document
13
Composition and characters of binary quadratic forms
... In this paper two nr:mber theoretic algorithms are presenEed' The first is an algorithm for composition of binary quadratic fotms having running tine of OMloglOlfogfoglDl elementary oper[r] ... See full document
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