indeterminate equation sentence in Hindi
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- It is a collection of problems giving numerical solutions of both determinate and indeterminate equations.
- Abu Kamil describes a number of systematic procedures for finding integral solutions for indeterminate equations.
- Bachet was the earliest writer who discussed the solution of indeterminate equations by means of continued fractions.
- In about twenty verses in the treatise, he gives elaborate rules to solve the indeterminate equation : by = ax + c.
- The last problem in the chapter involves four equations in five unknowns, and the topic of indeterminate equations was to remain a favorite among Oriental peoples.
- It is also the earliest known Arabic work where solutions are sought to the type of indeterminate equations found in Diophantus's " Arithmetica ".
- The rest of the book contains solutions for sets of indeterminate equations, problems of application in realistic situations, and problems involving unrealistic situations intended for recreational mathematics.
- He went on to solve systems of simultaneous indeterminate equations stating that the desired variable must first be isolated, and then the equation must be divided by the desired variable's coefficient.
- Other mathematics included in Zr + pati's work includes, in particular, rules for the solution of simultaneous indeterminate equations of the first degree that are similar to those given by Brahmagupta
- The text contains 33 verses covering mensuration ( kc etra vyvahra ), arithmetic and geometric progressions, gnomon / shadows ( shanku-chhAyA ), simple, quadratic, simultaneous, and indeterminate equations.
- Ganitapada ( 33 verses ) : covering mensuration ( kc etra vyvahra ), arithmetic and geometric progressions, gnomon / shadows ( shanku-chhAyA ), simple, quadratic, simultaneous, and indeterminate equations ( kuTTaka)
- Aryabhata s general solution for linear indeterminate equations, whichBhaskara I called " kuttakara " ( pulverizer ), consisted of breaking the problem down into new problems with successively smaller coefficients essentially the Euclidean algorithm and related to the method of continued fractions.
- Qin wrote " Sh�shk Ji?zhng " ( Mathematical Treatise in Nine Sections ) in 1247 CE . This treatise covered a variety of topics including indeterminate equations and the numerical solution of certain polynomial equations up to 10th order, as well as discussions on military matters and surveying.
- The topics discussed are the eight mathematical operations, a certain set of ten problems, arithmetic of fractions, rule of three, Kuttakara ( linear indeterminate equations ), infinite series and approximations for the ratio of the circumference and diameter of a circle and infinite series and approximations for sines.
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