Sharp EL-W546, EL-W506 manual Arithmetic Operations, Constant Calculations, Functions, ∑ Function

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The CATALOG Menu

Using the CATALOG menu, you can select functions and variables that are available for what you are doing in the currently selected mode. To display the CATALOG menu, press N0.

Press uor dto move the cursor () and press e to select.

Press lor rto scroll up or down.

Press @uor @dto jump to the first or last item.

Note: You cannot bring up the CATALOG menu when entering values or items in STAT, MATRIX, LIST, or EQUATION modes, or into solver functions or simulation calculations.

Multi-line Playback Function

3

This calculator is equipped with a function to recall previous equations and answers in NORMAL or CPLX modes. A maximum of 340 characters can be stored in memory. When the memory is full, stored equations will be deleted to make room, starting with the oldest.

Pressing uwill display the previous equation. Further pressing uwill display preceding equations (after returning to the previous equation, press dto view equations in order). In addition, @ucan be used to jump to the oldest equation, and @dto jump to the newest one.

To edit an equation after recalling it, press lor r.

The multi-line memory will be cleared by the following operations:

@Z, mode change, RESET, N-base conversion, angular unit conversion, editor change (@J2 0or @J21), and memory clear (@ P10).

Equations that have one result require an additional eleven characters’ worth of memory to store in order to hold the result.

In addition to the amount of memory needed to store an equation, the WriteView editor will require a certain amount for the sake of display.

Equations also include calculation ending instructions, such as “=”.

Priority Levels in Calculation

This calculator performs operations according to the following priority:

Fractions (1m4, etc.) , Engineering prefixes

Functions preceded by their argument (x1, x2, n!, etc.)

yx, xrImplied multiplication of a memory value (2Y, etc.) Functions followed by their argument (sin, cos, (), etc.)

Implied multiplication of a function (2sin30, A 1 , etc.) nCr, 4

nPr, cv , +, AND OR, XOR, XNOR =,

M+, M, M, DEG, RAD, GRAD, DATA, rθ, xy, and other calculation ending instructions

If parentheses are used, parenthesized calculations have precedence over any other calculations.

SCIENTIFIC CALCULATIONS

Press b0to select NORMAL mode.

In each example, press jto clear the display first. Unless otherwise specified, calculation examples are performed in the WriteView editor (@J20) with the default display settings (@P0).

Arithmetic Operations

4

The closing parenthesis )just before =or m may be omitted.

Constant Calculations

5

In constant calculations, the addend becomes a constant. Subtraction and division are performed in the same manner. For multiplication, the multiplicand becomes a constant.

In constant calculations, constants will be displayed as K.

Constant calculations can be perfomed in NORMAL or STAT modes.

Functions

6

Refer to the calculation examples for each function.

In the Line editor, the following symbols are used:

: to indicate an expression’s power. (m, @",

@Y)

: to separate integers, numerators, and denominators. (W, @k)

When using @Oor @Win the Line editor, values are entered in the following way:

logn (base, value)

abs value

Integral/Differential Functions

7

Integral and differential calculations can be performed in NORMAL mode.

Note: Since integral and differential calculations are performed based on the following equations, correct results may not be obtained, in certain rare cases, when performing special calculations that contain discontinuous points.

Integral calculation (Simpson’s rule):

1

...

 

b

a

)

S = h{ f(a) + 4{ f(a + h) + f(a + 3h) +

 

 

 

+ f(a + (N 1)h)} h =

3

 

 

 

N

 

+ 2{ f(a + 2h) + f(a + 4h) + ... + f(a + (N 2)h)} + f(b)} (Na =x2n b

 

f

 

dx

dx

 

 

 

(x + ) f(x

)

 

 

 

 

 

2

2

 

 

 

Differential calculation: (x) =

 

 

 

 

 

dx

 

 

 

 

Performing integral calculations

1.Press F.

2.Specify the following parameters: range of integral (initial value (a), end value (b)), function with variable x, and number of subintervals (n).

You do not need to specify the number of subintervals. If the number of subintervals is not specifi ed, the default value of n = 100 will be used.

3.Press =.

Notes:

Parameters are entered in the following way:

WriteView editor:

ab function[, subintervals]dx

Line editor:

(function, a, b[, subintervals])

Integral calculations, depending on the integrands and subintervals included, require longer calculation time. During calculation, the BUSY symbol will be displayed. To cancel calculation, press j.

Note that there will be greater integral errors when there are large fl uctuations in the

integral values during

minute shifting of the

y

 

 

 

 

 

integral range and for

 

 

 

 

 

 

 

 

 

 

 

periodic functions, etc.,

 

 

 

 

 

 

where positive and

 

 

 

x0

y

x2

 

 

 

 

negative integral values

 

 

b x

a

 

b

exist depending on the

a

x0

 

x

 

x1

 

x1

x3

interval.

 

 

x2

 

 

 

x3

 

 

 

For the former case, divide integral intervals as small as possible. For the latter case, separate the positive and negative values. Following these tips will allow you to obtain results from calculations with greater accuracy and will also shorten the calculation time.

Performing differential calculations

1.Press @G.

2.Specify the following parameters: function with variable x, value of x, and minute interval (dx).

You do not need to specify the minute interval. If the minute interval is not specifi ed, it will automatically be set to 105 (while x = 0), or x 105 (while x 0).

3.Press =.

Note: Parameters are entered in the following way:

WriteView editor:

d(function)

dx x = value of x[, minute interval]

Line editor:

d/dx (function, value of x[, minute interval])

Function

8

The function returns the cumulative sum of a given expression from an initial value to an end value in NORMAL mode.

Performing calculations

1.Press @I.

2.Specify the following parameters: initial value, end value, function with variable x, and increment (n).

You do not need to specify the increment. If the increment is not specifi ed, the default value of n = 1 will be used.

3.Press =.

Note: Parameters are entered in the following way:

WriteView editor:

end value

Σ(function[, increment]) x = initial value

Line editor:

Σ(function, initial value, end value[, increment])

Random Function

The random function has four settings. (This function cannot be selected while using the N-base function.) To generate further random numbers in succession, press e. Press jto exit.

Random numbers

A pseudo-random number, with three significant digits from 0 up to 0.999, can be generated by pressing @w0e.

Note: In the WriteView editor, if the result is not 0 it can be shown as a fraction or decimal using U.

Random dice

To simulate a die-rolling, a random integer between 1 and 6 can be generated by pressing @w1e.

Random coin

To simulate a coin fl ip, 0 (heads) or 1 (tails) can be randomly generated by pressing @w2e.

Random integer

An integer between 0 and 99 can be generated randomly by pressing @w3e.

Angular Unit Conversions

9

Each time @]is pressed, the angular unit changes in sequence.

 

 

 

 

Memory Calculations

 

 

10

Mode

ANS

M, F1–F4

A–F, X, Y

D1–D4

 

 

 

 

 

NORMAL

STAT

CPLX

×

MATRIX

LIST

: Available ×: Unavailable

Temporary memories (A–F, X and Y)

Press xand a variable key to store a value in memory.

Press tand a variable key to recall the value from that memory. To place a variable in an equation, press ;and a variable key.

Independent memory (M)

In addition to all the features of temporary memories, a value can be added to or subtracted from an existing memory value.

Press jxMto clear the independent memory (M).

Last answer memory (ANS)

The calculation result obtained by pressing =or any other calculation ending instruction is automatically stored in the last answer memory.

When the calculation result is in matrix or list form, the full matrix or list is not stored into ANS memory. Only the value of the element covered by the cursor is stored.

Notes:

Calculation results from the functions indicated below are automatically stored in the X or Y memories replacing any existing values.

rθ, xy: X memory (r or x), Y memory (θ or y)

Two x´ values from a quadratic regression calculation in STAT mode: X memory (1:), Y memory (2:)

Use of tor ;will recall the value stored in memory using up to 14 digits.

Formula memories (F1–F4)

You can store expressions in formula memories (F1–F4). Storing a new expression in a memory space will automatically replace any content that may already exist there.

Notes:

Expressions that are stored from the WriteView editor cannot be recalled from within the Line editor, and vice versa.

You can only recall expressions stored from the Line editor when entering values or items in STAT, MATRIX, LIST, or EQUATION modes, or into solver functions or simulation calculations.

Any recalled expressions will overwrite any expressions that are currently being entered.

You cannot store formulas in formula memories when entering values or items in STAT, MATRIX, LIST, or EQUATION modes, or into solver functions or simulation calculations.

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Contents Before Using the Calculator IntroductionDisplay Editing the Equation SET UP MenuWriteView Editor Line EditorIntegral/Differential Functions Arithmetic OperationsConstant Calculations FunctionsChain Calculations Fraction CalculationsOperations N-base Statistical Calculations and Variables Calculations Using Engineering PrefixesSimulation Calculation Algb Solver FunctionEntering and Storing Matrices Using Matrices in CalculationsRanges of Math Drill Questions Complex Number EntryAlert Messages Errors and Calculation RangesFor More Information About Scientific Calculators Battery ReplacementSpecifications Calculation Ranges$twysH ilOVYZA1 MDqBecaW +&kzS`TxmMT Xijkl Nsolver Zrgh/dn4 pxCNeng Nalgb22 Hud# 24 N→t, P, Q, RBMATRIX BLIST28 b2-VLE, 3-VLE, QUAD, Cubic − AD −10100 x180⎯ ⋅ + BDMiljöskydd Nur für Deutschland/For Germany onlyUmweltschutz Protection de l’environnementNederlands