安裝中文字典英文字典辭典工具!
安裝中文字典英文字典辭典工具!
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- Maple code to perform mathematical operations on the output of isolve
This is useful when we need to perform arithmetic operations on the output of isolve in a loop For instance we might need to solve the equation $x^2-y^2=a$ in positive integers $x,y$ where $a$ runs through the positive integers less than say 1000 and print only solutions for which $x+y>30$
- $A^ {1 A} =B^ {1 B} =C^ {1 C} ,A^ {BC} +B^ {AC} +C^ {AB} =729$
It's almost as if you were supposed to render $A=B=C=2$ The sum was supposed to be $2×3^4=48$, but someone fat-fingered on the calculator and entered $3×3^4
- 1 b = b + 1 c = c + 1 a = t - Mathematics Stack Exchange
a, b, c are distinct reals such that $$a + 1 b = b + 1 c = c + 1 a = t $$for some real t Show that t = -abc I tried using continued fractions to isolate a,b and c
- how to solve a Maple problem with three variables?
It'd be better suited at www stackoverflow com or www mapleprimes com , but even then you should state exactly what code you issued with a proper description of the goal If you are using Maple's isolve command to try and solve the problems over the integers then state both of those explicitly
- Find the inverse of a $4\times4$ matrix - Mathematics Stack Exchange
Take a $4\times 8$ matrix whose first 4 columns are your matrix, and the last 4 columns are the identity Then row-reduce until you get the identity on the first 4 columns The matrix you get on the last four columns is the inverse of your matrix
- Find all integral solutions to $xy^2 + (x^2 + 1)y + x^4 + 1 = 0$.
I tried to solve it using Maple with the isolve () command, but it doesn’t give anything This suggests that either the Maple algorithms cannot solve it or that there are no solutions
- number theory - How to find all integer solutions for underdetermined . . .
A linear equation with integer coefficients, where one looks for integer solutions is called a linear Diophantine equation The simplest case $$ a x + b y = c $$ can be solved systematically and has either no or infinite many solutions From here one can move to more variables or more equations See System of linear Diophantine equations on how you might proceed It recommends calculating the
- How to find a fundamental solution to Pells equation?
A commonly used method to find the fundamental solution to the Pell's equation is the Dirichlet's approximation theorem, but I didn't understand how to apply it Could anyone throw some light on this Thanks
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