ANOVA for the relational equation in y1 and y2
On the Negative Pell Equation y2 = 48x2 23
... On the Negative Pell Equation y 2 48 x 2 23 S. Mallika 1 , G. Ramya 2 1 Assistant Professor, 2 M. Phil Scholar, Department of Mathematics, SIGC, Trichy-620002, Tamilnadu, India. Abstract: The binary quadratic ...
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On the Positive Pell Equation Y2=35x2+29
... 2 Assistant Professor, Department of Mathematics, Shrimati Indira Gandhi College, Trichy-620 002, Tamil Nadu, India. 3 PG Scholor, Department of Mathematics, Shrimati Indira Gandhi College, Trichy-620 002, Tamil Nadu, ...
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ON THE BINARY QUADRATIC EQUATION ax2-a(a+1)y2 = a
... Employing linear combinations among the solutions of (1), one may generate integer solutions for other choices of parabolas which are presented below.. Let A and P be i[r] ...
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ON THE P0SITIVE PELL EQUATION y2=34x2+18
... ABSTRACT: The binary quadratic Diophantine equation represented by the positive pellian is analyzed for its non-zero distinct solutions. A few interesting relations among the solutions are given. Further, ...
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ON THE NEGATIVE PELL EQUATION y2=102x2-18
... email;[email protected] ABSTRACT: The binary quadratic Diophantine equation represented by the negative pellian is analyzed for its non-zero distinct solutions. A few interesting relations among the solutions ...
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On The Negative Pell Equation Y2 = 30x2 - 45
... The binary quadratic equations 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 different integral values[1- ...
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On the Positive Pellian Equation y2 = 48x2 + 16
... The hyperbola represented by the binary quadratic equation y 2 48 x 2 16 is analyzed for finding its non-zero distinct integer solutions. A few interesting relations among its solutions are presented. Also, ...
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Integral Solutions of the Diophantine Equation Y2=20x2+4
... Diophantine equation are rich in variety, one may search for the other choices of binary quadratic Diophantine equation and determine their integral solutions along with suitable ...
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On The Binary Quadratic Diophantine Equation X2 3XY+Y2+18X=0
... These results have motivated us to search for infinitely many non-zero integral solutions of an another interesting binary quadratic equation given by x 2 - 3xy + y 2 18 x = 0. The recurrence relations satisfied ...
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Optimisation of machining parameters for hard machining: grey relational theory approach and ANOVA
... grey relational analysis. An orthogonal array, grey relations, grey relational coefficients and analysis of variance (ANOVA) are applied to study the performance characteristics of machining process ...
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Machining Parameter Optimization in Electrical Discharge Machining by Using Grey Relational Analysis and ANOVA
... Grey Relational Analysis and ANOVA has been proposed to evaluate and estimate the effect of machining parameters on the ...Grey Relational Analysis and ANOVA. In which Grey Relational ...
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ANOVA ANOVA. Two-Way ANOVA. One-Way ANOVA. When to use ANOVA ANOVA. Analysis of Variance. Chapter 16. A procedure for comparing more than two groups
... – There is no significant difference between reaction times in the normal cell phone and hands-free conditions. control and cell groups are significantly different[r] ...
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Optimization of the injection molding process of Derlin 500 composite using ANOVA and grey relational analysis
... grey relational analysis was used in order to optimize these two parameters in manufacturing plastic bush of articulated garden ...grey relational analysis to predict the optimum values of the input ...
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Observations on Ternary Quadratic Diophantine Equation 6(x2+y2) – 11xy+3x+3y+9=72z2
... [2] Carmichael, R.D., “The Theory of Numbers and Diophantine Analysis”, Dover Publications, New York ,1959. [3] Dickson,.L.E., “History of the theory of numbers”, Chelsia Publishing Co., Vol.II, New York, 1952. [4] ...
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Integral Solutions of the Ternary Cubic Equation 3(x2+y2) 4xy+2(x+y+1)=972z3
... Cubic Equation with Three Unknowns, Integral solutions Introduction: Mathematics is the language of patterns and relationships and is used to describe anything that can be ...diophantine equation with three ...
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/CH4 permselectivity ( y2 ). Analysis of
... B. Analysis of variance Analysis of variance (ANOVA) has been employed to further justify the significance of the models. For each response, the statistical significance of quadratic model was determined by ...
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Grey Relational Analysis and Anova to Determine the Optimum Process Parameters for Friction Stir Welding of Ti and Mg Alloys
... Finally analysis of variance (ANOVA) for confirmation take a look at has been conducted to validate the results. 2 Experimental Procedure The material used in this study is Ti (Grade 2) and Mg (AZ91D) of plate 100 ...
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Solving nonlinear optimization problems with bipolar fuzzy relational equation constraints
... Besides, because the feasible domain S(A + , A – , b), when it is nonempty, is a union of sev- eral interval-valued solutions as illustrated in Example , such an optimization problem can also be viewed as a disjunctive ...
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Solving Fuzzy Linear Programming Problem With Fuzzy Relational Equation Constraint
... for all and i ∈ I and k ∈ k . That is, the matrix equation (3) encompasses n x s simultaneous equations of the form (4). these equations are referred to as fuzzy relation equations.The set of all particular ...
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The existence of such a triangle is equivalent to the solvability of the equation (1) y2= x4− 16n2 in rational numbers (x, y) with x nonzero
... That this can never happen when K is a cyclic extension, can be concluded from the following statement that we showed in [13]: Theorem A. Let K be a finite Galois extension of the field of rational numbers with cyclic ...
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