free variable

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free variable

每一個方程式的領先變數被該方程式鎖定,稱為軸變數(pivot variable);其他的變數未受限制,稱為自由變數(free variable)。上式中, x_1, x_2, x_3 ..., ... 列的等式即可,所以有無限多組解。 這些在化簡後都不是任一行第一個有非零係數的變數,像是EX2 的X2、X4 這些變數,稱之為Free Variables。,In mathematics, and in other disciplines involving formal languages, including mathematical logic and computer science, a free variable is a notation (symbol) ... ,A variable is a basic variable if it corresponds to a pivot column. Otherwise, the variable is known as a free variable. In order to determine which variables are ... ,The terms "leading variable" and "free variable" are usually defined for the matrix representing a system, and only when the matrix is in row-echelon form. ,i.e. this RREF tells us how the values of the leading variables x1,x2 and x3 depend on that of the free variable x4 in a solution of the system. In a solution, the ... ,A free variable is a variable that has no limitations. It isn't in jail or tied up ... Also, the function or expression depends on the free variables. You can say that the ... ,In matrices, a variable is called a free variable if it does not corresponds to a pivot ... if there are p equations and q unknowns, then q-p are free variables if q>p.

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free variable 相關參考資料
線性規劃(二):端點與基解| 線代啟示錄

每一個方程式的領先變數被該方程式鎖定,稱為軸變數(pivot variable);其他的變數未受限制,稱為自由變數(free variable)。上式中, x_1, x_2, x_3 ...

https://ccjou.wordpress.com

「線性代數Linear Algebra」學習筆記- 1.2 ... - SLMT's Tutorial Blog

... 列的等式即可,所以有無限多組解。 這些在化簡後都不是任一行第一個有非零係數的變數,像是EX2 的X2、X4 這些變數,稱之為Free Variables。

http://slmtsite.blogspot.com

Free variables and bound variables - Wikipedia

In mathematics, and in other disciplines involving formal languages, including mathematical logic and computer science, a free variable is a notation (symbol) ...

https://en.wikipedia.org

Free and Basic Variables

A variable is a basic variable if it corresponds to a pivot column. Otherwise, the variable is known as a free variable. In order to determine which variables are ...

http://www.sci.wsu.edu

what do free variable and leading variables mean ...

The terms "leading variable" and "free variable" are usually defined for the matrix representing a system, and only when the matrix is in row-echelon form.

https://math.stackexchange.com

1.4 Leading Variables and Free Variables

i.e. this RREF tells us how the values of the leading variables x1,x2 and x3 depend on that of the free variable x4 in a solution of the system. In a solution, the ...

http://www.maths.nuigalway.ie

Free Variable vs. Bound Variable | Study.com

A free variable is a variable that has no limitations. It isn't in jail or tied up ... Also, the function or expression depends on the free variables. You can say that the ...

https://study.com

What is a free variable in a matrix? | Study.com

In matrices, a variable is called a free variable if it does not corresponds to a pivot ... if there are p equations and q unknowns, then q-p are free variables if q>p.

https://study.com