Casio FX-991ES User Guide - Page 39

Calculations, Rectangular-Polar Coordinate Conversion - stat mode

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k Σ Calculations With Σ(, you can obtain the sum of an input f(x) expression for a specific range. Σ calculations are performed using the following formula. Σ( f(x), a, b) = f(a) + f(a + 1) + .... + f(b) f(x): Function of X (All non-X variables are treated as constants.) a: Calculation range start point b: Calculation range end point • a and b are integers in the range of -1 × 1010 < a < b < 1 × 1010. • The calculation step is fixed at 1. • ∫(, d/dx(, Pol(, Rec(, and Σ( cannot be used within f(x), a, or b. • Pressing A will interrupt an ongoing Σ calculation. Appendix Σ (X + 1, 1, 5) = 20 k Rectangular-Polar Coordinate Conversion Rectangular Coordinates (Rec) Polar Coordinates (Pol) • Coordinate conversion can be performed in the COMP, STAT, MATRIX, and VECTOR calculation modes. Converting to Polar Coordinates (Pol) Pol(X, Y) X: Specifies the rectangular coordinate X value Y: Specifies the rectangular coordinate Y value • Calculation result θ is displayed in the range of -180° < θ < 180°. • Calculation result θ is displayed using the calculator's default angle unit. • Calculation result r is assigned to variable X, while θ is assigned to Y. Converting to Rectangular Coordinates (Rec) Rec(r,θ) r : Specifies r value of polar coordinate θ : Specifies θ value of polar coordinate • Input value θ is treated as an angle value, in accordance with the calculator's default angle unit setting. • Calculation result x is assigned to variable X, while y is assigned to Y. E-37

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E-37
k
Σ
Calculations
With
Σ
(, you can obtain the sum of an input
f
(
x
) expression for a
specific range.
Σ
calculations are performed using the following
formula.
Σ
(
f
(
x
),
a
,
b
) =
f
(
a
) +
f
(
a
+ 1) +
....
+
f
(
b
)
f
(
x
): Function of X (All non-X variables are treated as
constants.)
a
:
Calculation range start point
b
:
Calculation range end point
a
and
b
are integers in the range of –1
×
10
10
<
a
<
b
<
1
×
10
10
.
• The calculation step is fixed at 1.
(,
d/dx
(, Pol(, Rec(, and
Σ
( cannot be used within
f
(
x
),
a
, or
b
.
• Pressing
A
will interrupt an ongoing
Σ
calculation.
Appendix
<#035>
Σ
(X + 1, 1, 5) = 20
k
Rectangular-Polar Coordinate Conversion
Rectangular
Polar Coordinates
Coordinates (Rec)
(Pol)
• Coordinate conversion can be performed in the COMP, STAT,
MATRIX, and VECTOR calculation modes.
Converting to Polar Coordinates (Pol)
Pol(X, Y)
X:
Specifies the rectangular coordinate X value
Y:
Specifies the rectangular coordinate Y value
Calculation result
θ
is displayed in the range of –180
°
<
θ
<
180
°
.
Calculation result
θ
is displayed using the calculator’s default angle
unit.
• Calculation result
r
is assigned to variable X, while
θ
is assigned
to Y.
Converting to Rectangular Coordinates (Rec)
Rec(
r
,
θ
)
r
: Specifies
r
value of polar coordinate
θ
: Specifies
θ
value of polar coordinate
• Input value
θ
is treated as an angle value, in accordance with the
calculator’s default angle unit setting.
• Calculation result
x
is assigned to variable X, while
y
is assigned
to Y.