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Function Analysis

This section explains commands and functions that you can input after performing the operation: – [Func Analysis].

Summation(Σ)

With Σ(, you can obtain the sum of an input f(x) expression for a specific range.


Note

This function can be used with any of the following calculator apps: Calculate, Statistics, Distribution, Table, Vector.


Input Syntax

The input syntax depends on the Input/Output setting on the SETTINGS menu, as shown in the table below.

Input/Output setting Input Syntax
MathI/MathO or MathI/DecimalO

LineI/LineO or LineI/DecimalO

a and b are integers that can be specified within the range of -1 × 1010 < ab < 1 × 1010.


Σ Calculation Example

(x + 1) = 20

(Input/Output: MathI/MathO)

  • – [Func Analysis] > [Summation(Σ)]
    115

(Input/Output: LineI/LineO)

  • – [Func Analysis] > [Summation(Σ)]
    1(,)1(,)5

Product(Π)

With (, you can obtain the product of an input f(x) expression for a specific range.


Note

This function can be used with any of the following calculator apps: Calculate, Statistics, Distribution, Table, Vector.


Input Syntax

The input syntax depends on the Input/Output setting on the SETTINGS menu, as shown in the table below.

Input/Output setting Input Syntax
MathI/MathO or MathI/DecimalO

LineI/LineO or LineI/DecimalO

Π(f(x), a, b)*

* a and b are integers that can be specified within the range of a < 1 × 1010, b < 1 × 1010, ab.


Calculation Example

(x + 1) = 720

(Input/Output: MathI/MathO)

  • – [Func Analysis] > [Product(Π)]
    115

(Input/Output: LineI/LineO)

  • – [Func Analysis] > [Product(Π)]
    1(,)1(,)5

Logarithm(logab), Logarithm(log)

Use (log) or – [Func Analysis] > [Logarithm(log)] to input logab as log (a, b). Base 10 is the initial default setting if you do not input anything for a.


Example 1: log101000 = log 1000 = 3

  • (log)1000

Example 2: log216 = 4

  • (log)2(,)16

The key (or – [Func Analysis] > [Logarithm(logab)]) also can be used for input, but only while MathI/MathO or MathI/DecimalO is selected for Input/Output on the SETTINGS menu. In this case, you must input a value for the base.


Example 3: log216 = 4

  • 216

Natural Logarithm

Use (ln) or – [Func Analysis] > [Natural Logarithm] to input "ln".


Example: ln 90 (= loge90) = 4.49980967

  • (ln)90
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