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Section 1

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Nonlinear equations

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Mar 1, 2020

Cards (6)

Section 1

(6 cards)

Nonlinear equations

Front

A set of SIMULTANEOUS EQUATIONS in which the UNKNOWNS (or the unknown functions in the case of differential equations) appear as variables of a polynomial of DEGREE HIGHER THAN ONE or in the argument of a function which is not a polynomial of degree one.

Back

Variable

Front

A variable is a SYMBOL, commonly an alphabetic character, that represents a number, called the value of the variable, which is either arbitrary, not fully specified, or unknown.

Back

Nonlinear differential equations

Front

Differential equations are said to be nonlinear if any products exist between the dependent variable and its derivatives, or between the derivatives themselves.

Back

Vector field

Front

If every point P(x,y,z) of a region R of space has associated with it a vector quantity ¶(x,y,z), then ¶(x,y,z) is a vector function and a vector field is said to exist in the region R.

Back

Variable

Front

A factor that can be changed

Back

Scalar field

Front

If every point P(x,y,z) of a region R of space has associated with it a scalar quantity ¶(x,y,z), then ¶(x,y,z) is a scalar function and a scalar field is said to exist in the region R.

Back