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evalf

evaluate using floating-point arithmetic

 

Calling Sequence

Parameters

Basic Information

Examples

Details

Calling Sequence

evalf(expression)

Parameters

expression

-

expression to be evaluated

Basic Information

Description

• 

The evalf command numerically evaluates expressions (or subexpressions) involving constants (for example, π, ⅇ, and γ ) and mathematical functions (for example, exp, ln, sin, arctan, cosh, GAMMA, and erf).

  

For a complete list of constants, see Initially Known Names. For a complete list of mathematical functions, see Initially Known Mathematical Functions.

Output

• 

The evalf command returns a floating-point or complex floating-point number or expression.

Examples

> 

π

π

(1)
> 

evalf⁡π

3.141592654

(2)
> 

evalf⁡cos⁡1+sin⁡1⁢I

0.5403023059+0.8414709848⁢I

(3)
> 

evalf⁡34⁢x2+13⁢x−sqrt⁡2

0.7500000000⁢x2+0.3333333333⁢x−1.414213562

(4)

The evalf command can be used to evaluate more complex mathematical functions.

> 

f≔int⁡exp⁡x3,x=0..1

f≔∫01ⅇx3ⅆx

(5)
> 

evalf⁡f

1.341904418

(6)
> 

g≔Sum⁡1sqrt⁡x,x=1..1000

g≔∑x=11000⁡1x

(7)
> 

evalf⁡g

61.80100877

(8)

The number of significant digits can be restricted with the evalf command.

> 

evalf3⁡π

3.14

(9)
> 

evalf15⁡π

3.14159265358979

(10)

Details

  

For detailed information including:

• 

Complete description of all parameters

• 

Controlling numeric precision of computations

• 

Special evaluation for user-defined constants and functions

  

see the evalf/details help page.

See Also

Digits

float

fsolve

Initially Known Mathematical Functions

Initially Known Names

Numeric Computation in Maple

Rounding