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Condition Judgment (judge, piecewise)
u "judge" Function
The "judge" function returns TRUE when an expression is true, and FALSE when it is false.
Problem
Is the following expression true or false?
1 = 1
Is the following expression true or false?
1 < 0
u "piecewise" Function
The "piecewise" function returns one value when an expression is true, and another value when the expression
is false.
The syntax of the "piecewise" function is shown below.
piecewise(<condition expression>, <return value when true>, <return value when false or indeterminate> [ ) ]
or
piecewise(<condition expression>, <return value when true>, <return value when false>, <return value when
indeterminate> [ ) ]
Use the soft keyboard (1) to input "piecewise" function according to the syntax shown below.
<return value when true>, <condition expression>
<return value when false or indeterminate>
or
<return value when condition 1 is true>, <condition 1 expression>
<return value when condition 2 is true>, <condition 2 expression>
Problem
For the expression 0 t
x
when
is 0 or less, and 2 when
or undefined.
For the expression 1 t
x
when
is 1 or less, and 2 when
Angle Symbol (∠)
Use this symbol to specify the coordinate format required by an angle in a vector.
You can use this symbol for a vector only.
Problem
Convert the polar coordinates
rectangular coordinates.
Derivative Symbol (')
A single derivative symbol indicates the first derivative of an equation in the format: <variable name>'.
Problem
Solve the differential equation
y
x
2
{
= 0.5 ·
+ const (1)}
Important!
The "dSolve" function can solve differential equations up to three degrees, so a maximum of three derivative
y
symbols (
''') can be used. Executing a "dSolve" calculation that has more than three derivative symbols will
result in an Invalid Syntax error.
TRUE
FALSE
x
x
(
= variable), return 1
x
is greater than 0
x
x
(
= variable), return 1
x
is greater than 1.
= ' 2 , θ = π /4 to
r
[1, 1]
y
x
' =
.
Operation
[judge] 1 = 1 w
[judge] 1 < 0 w
Operation
[piecewise] 0 :X, 1 , 2 w
or
1 1 c 2 ef 0 :X w
1 1 c 2 ef 1 :X c 1 <Xw
Operation
Change the [Angle] setting to "Radian".
[toRect] [5 2 e,~7/ 4 )]w
Operation
+Y'=X,X,Yw
Chapter 2: Main Application 54
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