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Casio ClassPad II fx-CP400 User Manual

Page 54

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Chapter 2: Main Application

  54

Solutions Supported by ClassPad (TRUE, FALSE, Undefined, No Solution,

, const, constn)

Solution

Description

Example

TRUE

Output when a solution is true.

judge (1 = 1)

w

FALSE

Output when a solution is false.

judge (1 < 0)

w

Undefined

Output when a solution is undefined.

1/0

w

No Solution

Output when there is no solution.

solve (abs (

x

) = –1,

x

)

w

Infinity

lim (1/

x

2

,

x

, 0)

w

const

Constant displayed as const(1) when any value that is a
constant is included in the solution. In the case of multiple
constants, they are indicated as const(1), const(2), and
so on.

dSolve (

y

؅ =

x

,

x

,

y

)

w

{

y

= 0.5·

x

2

+ const (1)}

constn

Constant displayed as constn(1) when the solution
includes any integer value that is a constant. In the case
of multiple constants, they are indicated as constn(1),
constn(2), and so on.

Change the [Angle] setting to
“Degree”.
solve (sin (

x

) = 0,

x

)

w

{

x

= 180·constn (1)}

Dirac Delta Function

“delta” is the Dirac Delta function. The delta function evaluates numerically as shown below.

[

b[

^

b

[

[

Non-numeric expressions passed to the delta function are left unevaluated. The integral of a linear delta
function is a Heaviside function.

Syntax: delta(

x

)

x

: variable or number

0210

(Calculation example screenshot)

n

th-Delta Function

The

n

th-delta function is the

n

th differential of the delta function.

Syntax: delta(

x

,

n

)

x

: variable or number

n

: number of differentials

0211

(Calculation example screenshot)

Heaviside Unit Step Function

“heaviside” is the command for the Heaviside function, which evaluates only to numeric expressions as shown
below.

H[

[

[

[ !


Any non-numeric expression passed to the Heaviside function will not be evaluated, and any numeric
expression containing complex numbers will return undefined. The derivative of the Heaviside function is the
Delta function.

Syntax: heaviside(

x

)

x

: variable or number

0212

(Calculation example screenshot)