EL-520W - Calculator SHARP - Free user manual and instructions

USER MANUAL EL-520W SHARP

Thank you for purchasing the SHARP Scientific Calculator Model EL-520W.

About the calculation examples (including some formulas and tables), refer to the reverse side of this English manual. Refer to the number on the right of each title in the manual for use.

After reading this manual, store it in a convenient location for future reference.

Operational Notes

• Do not carry the calculator around in your back pocket, as it may break when you sit down. The display is made of glass and is particularly fragile.
• Keep the calculator away from extreme heat such as on a car dashboard or near a heater, and avoid exposing it to excessively humid or dusty environments.
• Since this product is not waterproof, do not use it or store it where fluids, for example water, can splash onto it. Raindrops, water spray, juice, coffee, steam, perspiration, etc. will also cause malfunction.
• Clean with a soft, dry cloth. Do not use solvents or a wet cloth.
• Do not drop it or apply excessive force.
• Never dispose of batteries in a fire.
• Keep batteries out of the reach of children.
• This product, including accessories, may change due to upgrading without prior notice.

NOTICE

• SHARP strongly recommends that separate permanent written records be kept of all important data. Data may be lost or altered in virtually any electronic memory product under certain circumstances. Therefore, SHARP assumes no responsibility for data lost or otherwise rendered unusable whether as a result of improper use, repairs, defects, battery replacement, use after the specified battery life has expired, or any other cause.
• SHARP will not be liable nor responsible for any incidental or consequential economic or property damage caused by misuse and/or malfunctions of this product and its peripherals, unless such liability is acknowledged by law.
  ◆ Press the RESET switch (on the back), with the tip of a ball-point pen or similar object, only in the following cases. Do not use an object with a breakable or sharp tip. Note that pressing the RESET switch erases all data stored in memory.

- When using for the first time

• After replacing the batteries

• To clear all memory contents

- When an abnormal condition occurs and all keys are inoperative. If service should be required on this calculator, use only a SHARP servicing dealer, SHARP approved service facility, or SHARP repair service where available.

Hard Case

DISPLAY

Equation→ Display Mantissa Exponent ←Symbol

• During actual use, not all symbols are displayed at the same time.
• Certain inactive symbols may appear visible when viewed from a far off angle.
• Only the symbols required for the usage under instruction are shown in the display and calculation examples of this manual.

←/→ : Appears when the entire equation cannot be displayed. Press ◀/▶ to see the remaining (hidden) section.

xylr : Indicates the mode of expression of results in the complex calculation mode.

▲/▼ : Indicates that data can be visible above/below the screen. Press ▲/▼ to scroll up/down the view.

2ndF : Appears when 2ndF is pressed. HYP : Indicates that hyp has been pressed and the hyperbolic functions are enabled. If 2ndF arc hyp are pressed, the symbols “2ndF HYP” appear, indicating that inverse hyperbolic functions are enabled.

ALPHA: Appears when ALPHA (STAT VAR), STO or RCL is pressed.

FIX/SCI/ENG: Indicates the notation used to display a value.

DEG/RAD/GRAD: Indicates angular units.

STAT : Appears when statistics mode is selected.

M : Indicates that a value is stored in the independent memory.
? : Indicates that the calculator is waiting for a numerical value to be entered, such as during simulation calculation.
: Appears when the calculator shows an angle as the result in the complex calculation mode.
i : Indicates an imaginary number is being displayed in the complex calculation mode.

BEFORE USING THE CALCULATOR

Key Notation Used in this Manual

In this manual, key operations are described as follows:

Functions that are printed in orange above the key require 2ndF to be pressed first before the key. When you specify the memory, press ALPHA first. Numbers for input value are not shown as keys, but as ordinary numbers.

Power On and Off

Press ON/C to turn the calculator on, and 2ndF OFF to turn it off.

Clearing the Entry and Memories

Press 2ndF -CLR to display the menu.
• To clear all variables (M, A-F, X, Y, ANS,
F1-F4, STAT VAR), press 0 0 or 0 ENT
- To RESET the calculator, press 1 0 or 1 ENT.
The RESET operation will erase all data stored in memory, and restore the calculator's default setting.

Entering and Correcting the Equation

[Cursor keys]

• Press ◀ or ▶ to move the cursor. You can also return to the equation after getting an answer by pressing ▶ (◀). See the next section for using the ▲ and ▼ keys.
• See 'SET UP menu' for cursor use in the SET UP menu.

[Insert mode and Overwrite mode in the Equation display]

• Pressing 2ndF INS switches between the two editing modes: insert mode (default); and overwrite mode. A triangular cursor indicates that an entry will be inserted at the cursor, while the rectangular cursor indicates to overwrite preexisting data as you make entries.
• To insert a number in the insert mode, move the cursor to the place immediately after where you wish to insert, then make a desired entry. In the overwrite mode, data under the cursor will be overwritten by the number you enter.
• The mode set will be retained until the next RESET operation.

[Deletion key]

- To delete a number/function, move the cursor to the number/function you wish to delete, then press DEL. If the cursor is located at the right end of an equation, the DEL key will function as a back space key.

Multi-line Playback Function [1]

Previous equations may be recalled in the normal mode. Equations also include calculation ending instructions such as “=” and a maximum of 142 characters can be stored in memory. When the memory is full, stored equations are deleted in the order of the oldest first. Pressing ▲ will display the previous equation and the answer. Further pressing ▲ will display preceding equations (after returning to the previous equation, press ▼ to view equations in order). In addition, 2ndF ▲ can be used to jump to the oldest equation.

• To edit an equation after recalling it, press ▶ (◀).
• The multi-line memory is cleared by the following operations: 2ndF CA, 2ndF OFF (including the Automatic Power Off feature), mode change, memory clear (2ndF M-CLR), RESET, 2ndF RANDOM, ALPHA (RCL) ANS, constant calculation, differential/integral calculation, chain calculation, angle unit conversion, coordinate conversion, N-base conversion, numerical value storage to the temporary memories and independent memory, solver function and simulation calculation.

Priority Levels in Calculation

Operations are performed according to the following priority: ① Fractions (1r4, etc.) ② ∠, engineering prefixes ③ Functions preceded by their argument (x ^-1 , x ^2 , n!, etc.) ④ Y ^x , x ^ ⑤ Implied multiplication of a memory value (2Y, etc.) ⑥ Functions followed by their argument (sin, cos, etc.) ⑦ Implied multiplication of a function (2sin30, etc.) ⑧ nCr, nPr ⑨ x _r ÷ ⑩ +, - ⑪ AND ⑫ OR, XOR, XNOR ⑬ =, M+, M-, ⇒M, ▶DEG, ▶RAD, ▶GRAD, DATA, CD, →rθ, →xy and other calculation ending instructions

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

INITIAL SET UP

Mode Selection

MODE

0

: Normal mode (NORMAL)

MODE

1

: Statistic mode (STAT)

MODE

2

: Equation mode (EQN)

MODE

3

: Complex number mode (CPLX)

SET UP menu

[2]

Press SET UP to display the SET UP menu.
• A menu item can be selected by:

- moving the flashing cursor by using

▶◀, then pressing ENT (= key), or

• pressing the number key corresponding to the menu item number.
• If ▲ or ▼ is displayed on the screen, press ▲ or ▼ to view the previous/next menu screen.
• Press ON/C to exit the SET UP menu.

[Determination of the Angular Unit]

The following three angular units (degrees, radians, and grads) can be specified.

• DEG (°) : Press [SET UP] [0] [0].
  • RAD (rad): Press SET UP 0 1
  • GRAD (g) : Press SET UP 0 2

[Selecting the Display Notation and Decimal Places]

Four display notation systems are used to display calculation results: Floating point; Fixed decimal point; Scientific notation; and Engineering notation.
- When the FIX, SCI, or ENG symbol is displayed, the number of decimal places (TAB) can be set to any value between 0 and 9. Displayed values will be reduced to the corresponding number of digits.

[Setting the Floating Point Numbers System in Scientific Notation]

Two settings are used to display a floating point number: NORM1 (default setting) and NORM2. A number is automatically displayed in scientific notation outside a preset range:

• NORM1: 0.000000001 ≤ x ≤ 9999999999
• NORM2: 0.01 ≤ x ≤ 9999999999

SCIENTIFIC CALCULATIONS

• Press MODE 0 to select the normal mode.
• In each example, press ON/C to clear the display. If the FIX, SCI, or ENG indicator is displayed, clear the indicator by selecting 'NORM1' from the SET UP menu.

Arithmetic Operations

[3]

- The closing parenthesis ☐) just before = or M+ may be omitted.

Constant Calculations

[4]

• 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 the constants calculations, constants will be displayed as K.

Functions

[5]

• Refer to the calculation examples of each function.
- Before starting calculations, specify the angular unit.

Differential/Integral Functions

[6]

Differential and integral calculations are only available in the normal mode. For calculation conditions such as the x value in differential calculation or the initial point in integral calculation, only numerical values can be entered and equations such as 2^2 cannot be specified. It is possible to reuse the same equation over and over again and to recalculate by only changing the conditions without re-entering the equation.

• Performing a calculation will clear the value in the X memory.
• When performing a differential calculation, enter the formula first and then enter the x value in differential calculation and the minute interval (dx) . If a numerical value is not specified for minute interval, x 0 will be |x| × 10^-5 and x = 0 will be 10^-5 from the value of the numeric derivative.
• When performing an integral calculation, enter the formula first and then enter a range of integral (a, b) and subintervals (n) . If a numerical value is not specified for subintervals, calculation will be performed using n=100.

Since differential and integral 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):

$$ \begin{array}{r l} \mathsf {S} = \frac {1}{3} h {f (a) + 4 {f (a + h) + f (a + 3 h) + \dots \dots + f (a + (\mathsf {N} - 1) h) } & \quad \binom{h = \frac {b - a}{\mathsf {N}}}{\mathsf {N} = 2 n} \ + 2 {f (a + 2 h) + f (a + 4 h) + \dots \dots + f (a + (\mathsf {N} - 2) h) } + f (b) } & \quad a \leq x \leq b \end{array} $$

Differential calculation: f'(x)=(x+2)-f(x-2)dx

[When performing integral calculations]

Integral calculations, depending on the integrands and subintervals included, require longer calculation time. During calculation, "Calculating!" will be displayed. To cancel calculation, press ON/C. Note that there will be greater integral errors when there are large fluctuations in the integral values during minute shifting of the integral range and for periodic functions, etc., where positive and negative integral values exist depending on the interval.

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 results of calculations with greater accuracy and will also shorten the calculation time.

Random Function

The Random function has four settings for use in the normal or statistics mode. (This function cannot be selected while using the N-Base function.) To generate further random numbers in succession, press ENT. Press ON/C to exit.

- The generated pseudo-random number series is stored in memory Y. Each random number is based on a number series.

[Random Numbers]

A pseudo-random number, with three significant digits from 0 up to 0.999, can be generated by pressing 2ndF RANDOM 0 ENT.

[Random Dice]

To simulate a die-rolling, a random integer between 1 and 6 can be generated by pressing 2ndF RANDOM 1 ENT.

[Random Coin]

To simulate a coin flip, 0 (head) or 1 (tail) can be randomly generated by pressing 2ndF RANDOM 2 ENT.

[Random Integer]

An integer between 0 and 99 can be generated randomly by pressing 2ndF RANDOM 3 ENT.

Angular Unit Conversions [7]

Each time 2ndF DRG▶ are pressed, the angular unit changes in sequence.

Memory Calculations [8]

Mode	ANS	M, F1-F4	A-F, X, Y
NORMAL	○	○	○
STAT	○	×	×
EQN	×	×	×
CPLX	○	○	×

○ : Available

× : Unavailable

[Temporary memories (A-F, X and Y)]

Press STO and a variable key to store a value in memory.

Press RCL and a variable key to recall a value from the memory. To place a variable in an equation, press ALPHA 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 ON/C STO M to 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.

[Formula memories (F1-F4)]

Formulas up to 256 characters in total can be stored in F1 - F4. (Functions such as sin, etc., will be counted as one letter.) Storing a new equation in each memory will automatically replace the existing equation.

Note:

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

Random function ..... Y memory

• →rθ, →xy ...... X memory (r or x), Y memory (θ or y)

- Use of RCL or ALPHA will recall the value stored in memory using up to 14 digits.

Chain Calculations [9]

• The previous calculation result can be used in the subsequent calculation. However, it cannot be recalled after entering multiple instructions.
• When using postfix functions (√, sin, etc.), a chain calculation is possible even if the previous calculation result is cleared by the use of the ON/C or 2ndF CA keys.

Fraction Calculations

[10]

Arithmetic operations and memory calculations can be performed using fractions, and conversion between a decimal number and a fraction.

- If the number of digits to be displayed is greater than 10, the number is converted to and displayed as a decimal number.

Binary, Pental, Octal, Decimal, and Hexadecimal Operations (N-Base)

[11]

Conversions can be performed between N-base numbers. The four basic arithmetic operations, calculations with parentheses and memory calculations can also be performed, along with the logical operations AND, OR, NOT, NEG, XOR and XNOR on binary, pental, octal and hexadecimal numbers.

Conversion to each system is performed by the following keys:

$$ \begin{array}{c} \boxed {2 n d F} \xrightarrow {\text { BIN }} (" b" \text { appears. }), \boxed {2 n d F} \xrightarrow {\text { PEN }} (" P" \text { appears. }), \boxed {2 n d F} \xrightarrow {\text { OCT }} \ (" a" \text { appears. }), \boxed {2 n d F} \xrightarrow {\text { HEX }} (" H" \text { appears. }), \boxed {2 n d F} \xrightarrow {\text { DEC }} (" b", " P", \ " a" \text { and } " H" \text { disappear.}) \end{array} $$

Note: The hexadecimal numbers A – F are entered by pressing CNST, y^x , x^2 , x^3 , log, and ln, and displayed as follows:

$$ \mathsf {A} \rightarrow \mathcal {R}, \mathsf {B} \rightarrow b, \mathsf {C} \rightarrow \mathcal {L}, \mathsf {D} \rightarrow d, \mathsf {E} \rightarrow \mathcal {E}, \mathsf {F} \rightarrow F $$

In the binary, rental, octal, and hexadecimal systems, fractional parts cannot be entered. When a decimal number having a fractional part is converted into a binary, rental, octal, or hexadecimal number, the fractional part will be truncated. Likewise, when the result of a binary, rental, octal, or hexadecimal calculation includes a fractional part, the fractional part will be truncated. In the binary, rental, octal, and hexadecimal systems, negative numbers are displayed as a complement.

Time, Decimal and Sexagesimal Calculations 【12】

[12]

Conversion between decimal and sexagesimal numbers can be performed, and, while using sexagesimal numbers, conversion to seconds and minutes notation. The four basic arithmetic operations and memory calculations can be performed using the sexagesimal system. Notation for sexagesimal is as follows:

degree 12°34' 56.78" minute second

Coordinate Conversions [13]

- Before performing a calculation, select the angular unit.

Y P (x,y) y 0 x X ← Y P (r,θ) r θ 0 x Polar coord. ctangular coord.

• The calculation result is automatically stored in memories X and Y.
• Value of r or x : X memory
• Value of or y : Y memory

Calculations Using Physical Constants [14]

[14]

See the quick reference card and the English manual reverse side. A constant is recalled by pressing CNST followed by the number of the physical constant designated by a 2-digit number.

The recalled constant appears in the display mode selected with the designated number of decimal places.

Physical constants can be recalled in the normal mode (when not set to binary, pental, octal, or hexadecimal), equation mode, or statistics mode.

Note: Physical constants and metric conversions are based either on the 2002 CODATA recommended values or 1995 Edition of the “Guide for the Use of the International System of Units (SI)” released by NIST (National Institute of Standards and Technology) or on ISO specifications.

No.	Constant	No.	Constant
01	Speed of light in vacuum	27	Stefan-Boltzmann constant
02	Newtonian constant of gravitation	28	Avogadro constant
		29	Molar volume of ideal gas
03	Standard acceleration of gravity	30	(273.15 K, 101.325 kPa)
			Molar gas constant
04	Electron mass	31	Faraday constant
05	Proton mass	32	Von Klitzing constant
06	Neutron mass	33	Electron charge to mass quotient
07	Muon mass
08	Atomic mass unit-kilogram relationship	34	Quantum of circulation
		35	Proton gyromagnetic ratio
09	Elementary charge	36	Josephson constant
10	Planck constant	37	Electron volt
11	Boltzmann constant	38	Celsius Temperature
12	Magnetic constant	39	Astronomical unit
13	Electric constant	40	Parsec
14	Classical electron radius	41	Molar mass of carbon-12
15	Fine-structure constant	42	Planck constant over 2 pi
16	Bohr radius	43	Hartree energy
17	Rydberg constant	44	Conductance quantum
18	Magnetic flux quantum	45	Inverse fine-structure constant
19	Bohr magneton	46	Proton-electron mass ratio
20	Electron magnetic moment	47	Molar mass constant
21	Nuclear magneton	48	Neutron Compton wavelength
22	Proton magnetic moment	49	First radiation constant
23	Neutron magnetic moment	50	Second radiation constant
24	Muon magnetic moment	51	Characteristic impedance of vacuum
25	Compton wavelength
26	Proton Compton wavelength	52	Standard atmosphere

Metric Conversions [15]

See the quick reference card and the English manual reverse side. Unit conversions can be performed in the normal mode (when not set to binary, pental, octal, or hexadecimal), equation mode and statistics modes.

No.	Remarks		No.	Remarks
1	in	: inch	23	fl oz(US) : fluid ounce(US)
2	cm	: centimeter	24	m : milliliter
3	ft	: foot	25	fl oz(UK) : fluid ounce(UK)
4	m	: meter	26	m : milliliter
5	yd	: yard	27	J : Joule
6	m	: meter	28	cal : calorie
7	mile	: mile	29	J : Joule
8	km	: kilometer	30	cal _15 : Calorie (15n°C)
9	n mile	: nautical mile	31	J : Joule
10	m	: meter	32	cal _1T : I.T. calorie
11	acre	: acre	33	hp : horsepower
12	m ^2	: square meter	34	W : watt
13	oz	: ounce	35	ps : French horsepower
14	g	: gram	36	W : watt
15	lb	: pound	37
16	kg	: kilogram	38	Pa : Pascal
17	°F	: Degree Fahrenheit	39	atm : atmosphere
18	°C	: Degree Celsius	40	Pa : Pascal
19	gal (US)	: gallon (US)	41	(1 mmHg = 1 Torr)
20		: liter	42	Pa : Pascal
21	gal (UK)	: gallon (UK)	43
22		: liter	44	J : Joule

Calculations Using Engineering Prefixes [16]

Calculation can be executed in the normal mode (excluding N-base) using the following 9 types of prefixes.

Prefix		Operation			Unit
k	(kilo)	MATH	1	0	10^3
M	(Mega)	MATH	1	1	10^6
G	(Giga)	MATH	1	2	10^9
T	(Tera)	MATH	1	3	10^12
m	(milli)	MATH	1	4	10^-3
μ	(micro)	MATH	1	5	10^-6
n	(nano)	MATH	1	6	10^-9
p	(pico)	MATH	1	7	10^-12
f	(femto)	MATH	1	8	10^-15

Modify Function [17]

Calculation results are internally obtained in scientific notation with up to 14 digits for the mantissa. However, since calculation results are displayed in the form designated by the display notation and the number of decimal places indicated, the internal calculation result may differ from that shown in the display. By using the modify function, the internal value is converted to match that of the display, so that the displayed value can be used without change in subsequent operations.

Solver Function [18]

The x value can be found that reduces an entered equation to "0".

• This function uses Newton's method to obtain an approximation. Depending on the function (e.g. periodic) or 'Start' value, an error may occur (Error 2) due to there being no convergence to the solution for the equation.
• The value obtained by this function may include a margin of error. If it is larger than acceptable, recalculate the solution after changing 'Start' and dx values.
• Change the ‘Start’ value (e.g. to a negative value) or dx value (e.g. to a smaller value) if:
• no solution can be found (Error 2).
• more than two solutions appear to be possible (e.g. a cubic equation).
  • to improve the arithmetic precision.
• The calculation result is automatically stored in the X memory.

[Performing Solver function]

① Press MODE 0.
② Input a formula with an x variable.
③ Press MATH 0
④ Input 'Start' value and press ENT. The default value is "0".
⑤ Input dx value (minute interval).
⑥ Press ENT.

If you have to find a value consecutively using the same formula, such as plotting a curve line for 2x^2 + 1 , or finding the variable for 2x + 2y = 14 , once you enter the equation, all you have to do is to specify the value for the variable in the formula.

Usable variables: A-F, M, X and Y

Unusable functions: Random function

- Simulation calculations can only be executed in the normal mode.

- Calculation ending instructions other than = cannot be used.

Performing Calculations

① Press MODE 0.
② Input a formula with at least one variable.
③ Press 2ndF ALGB.
④ Variable input screen will appear. Input the value of the flashing variable, then press ENT to confirm. The calculation result will be displayed after entering the value for all used variables.
- Only numerical values are allowed as variables. Input of formulas is not permitted.
- Upon completing the calculation, press 2ndF ALGB to perform calculations using the same formula.

STATISTICAL CALCULATIONS [20]

Press MODE 1 to select the statistics mode. The seven statistical calculations listed below can be performed. After selecting the statistics mode, select the desired sub-mode by pressing the number key corresponding to your choice.

To change statistical sub-mode, reselect statistics mode (press MODE 1), then select the required sub-mode.

0 (SD) : Single-variable statistics
1 (LINE) : Linear regression calculation
2 (QUAD) : Quadratic regression calculation
3 (EXP) : Exponential regression calculation
4 (LOG) : Logarithmic regression calculation
5 (PWR) : Power regression calculation
6 (INV) : Inverse regression calculation

The following statistics can be obtained for each statistical calculation (refer to the table below):

Single-variable statistical calculation

Statistics of ① and value of the normal probability function

Linear regression calculation

Statistics of ① and ② and, in addition, estimate of y for a given x (estimate y' ) and estimate of x for a given y (estimate x' )

Exponential regression, Logarithmic regression,

Power regression, and Inverse regression calculation

Statistics of ① and ②. In addition, estimate of y for a given x and estimate of x for a given y. (Since the calculator converts each formula into a linear regression formula before actual calculation takes place, it obtains all statistics, except coefficients a and b, from converted data rather than entered data.)

Quadratic regression calculation

Statistics of ① and ② and coefficients a, b, c in the quadratic regression formula y = a + bx + cx^2 . (For quadratic regression calculations, no correlation coefficient (r) can be obtained.) When there are two x' values, press 2ndF ··· .

When performing calculations using a, b and c, only one numeric value can be held.

1		Mean of samples (x data)
	sx	Sample standard deviation (x data)
	x	Population standard deviation (x data)
	n	Number of samples
	x	Sum of samples (x data)
	x^2	Sum of squares of samples (x data)
2		Means of samples (y data)
	sy	Sample standard deviation (y data)
	y	Population standard deviation (y data)
	y	Sum of samples (y data)
	y^2	Sum of squares of samples (y data)
	xy	Sum of products of samples (x, y)
	r	Correlation coefficient
	a	Coefficient of regression equation
	b	Coefficient of regression equation
	c	Coefficient of quadratic regression equation

• Use ALPHA and RCL to perform a STAT variable calculation.

Data Entry and Correction [21]

Entered data are kept in memory until 2ndF CA or mode selection. Before entering new data, clear the memory contents.

[Data Entry]

Single-variable data

Data DATA

Data (x,y) frequency DATA (To enter multiples of the same data)

Two-variable data

Data x (x,y) Data y DATA

Data x (x,y) Data y (x,y) frequency DATA (To enter multiples of the same data x and y.)

- Up to 100 data items can be entered. With the single-variable data, a data item without frequency assignment is counted as one data item, while an item assigned with frequency is stored as a set of two data items. With the two-variable data, a set of data items without frequency assignment is counted as two data items, while a set of items assigned with frequency is stored as a set of three data items.

[Data Correction]

Correction prior to pressing DATA immediately after a data entry:

Delete incorrect data with ON/C, then enter the correct data.

Correction after pressing DATA :

Use ▲ ▼ to display the data previously entered.

Press ▼ to display data items in ascending (oldest first) order. To reverse the display order to descending (latest first), press the ▲ key.

Each item is displayed with ‘Xn=’, ‘Yn=’, or ‘Nn=’ (n is the sequential number of the data set).

Display the data item to modify, input the correct value, then press DATA. Using (x,y) , you can correct the values of the data set all at once.

Statistical Calculation Formulas [22]

Type	Regression formula
Linear	y = a + bx
Exponential	y = a · e^bx
Logarithmic	y = a + b · x
Power	y = a · x^b
Inverse	y = a + b 1x
Quadratic	y = a + bx + cx^2

In the statistical calculation formulas, an error will occur when:

• The absolute value of the intermediate result or calculation result is equal to or greater than 1 × 10^100 .
  • The denominator is zero.
• An attempt is made to take the square root of a negative number.
• No solution exists in the quadratic regression calculation.

Normal Probability Calculations [20] [23]

• P(t) , Q(t) , and R(t) will always take positive values, even when t < 0 , because these functions follow the same principle used when solving for an area.
  Values for P(t) , Q(t) , and R(t) are given to six decimal places.

SIMULTANEOUS LINEAR EQUATIONS [24] [25]

Simultaneous linear equation with two unknowns (2-VLE) or with three unknowns (3-VLE) may be solved using this function.

① 2-VLE: MODE 2 0
② 3-VLE: MODE 2 1
- If the determinant D = 0 , an error occurs.
- If the absolute value of an intermediate result or calculation result is 1 × 10^100 or more, an error occurs.
- Coefficients ( a_1 , etc.) can be entered using ordinary arithmetic operations.
• To clear the entered coefficients, press 2ndF CA.
- Pressing (ENT) when the determinant D is in the display recalls the coefficients. Each time (ENT) is pressed, a coefficient is displayed in the order of input, allowing the entered coefficients to be verified (by pressing 2ndF (ENT), coefficients are displayed in reverse order.) To correct a particular coefficient being displayed, enter the correct value and then press (ENT).

QUADRATIC AND CUBIC EQUATION SOLVERS [26]

Quadratic (ax^2 + bx + c = 0) or cubic (ax^3 + bx^2 + cx + d = 0) equation may be solved using this function.

① Quadratic equation solver: MODE 2 2
② Cubic equation solver: MODE 2 3
- Press ENT after entering each coefficient.
- The result will be displayed by pressing ENT after entering all coefficients. When there are more than 2 results, the next solution will be displayed.
- When the result is an imaginary number, "xy" symbol will appear. The display can be switched between imaginary and real parts by pressing 2ndF .

COMPLEX NUMBER CALCULATIONS [27]

To carry out addition, subtraction, multiplication, and division using complex numbers, press MODE 3 to select the complex number mode.

Results of complex number calculations are expressed in two modes:

① 2ndF →xy: Rectangular coordinate mode (xy appears.)
② 2ndF →rθ: Polar coordinate mode (rθ appears.)

Complex number entry

① Rectangular coordinates

x-coordinate + y-coordinate i

or x-coordinate + i y-coordinate

② Polar coordinates

r()

r: absolute value : argument

• On selecting another mode, the imaginary part of any complex number stored in the independent memory (M) will be cleared.
• A complex number expressed in rectangular coordinates with the y-value equal to zero, or expressed in polar coordinates with the angle equal to zero, is treated as a real number.
• Press MATH 0 to return the complex conjugate of the specified complex number.

ERROR AND CALCULATION RANGES

Errors

An error will occur if an operation exceeds the calculation ranges, or if a mathematically illegal operation is attempted. When an error occurs, pressing (or ▶) automatically moves the cursor back to the place in the equation where the error occurred. Edit the equation or press ON/C to clear the equation.

Error Codes and Error Types

Syntax error (Error 1):

- An attempt was made to perform an invalid operation.

Ex. 2 2ndF →rθ

Calculation error (Error 2):

• The absolute value of an intermediate or final calculation result equals or exceeds 10^100 .
• An attempt was made to divide by 0 (or an intermediate calculation resulted in zero).

- The calculation ranges were exceeded while performing calculations.

Depth error (Error 3):

- The available number of buffers was exceeded. (There are 10 buffers* for numeric values and 24 buffers for calculation instructions).

*5 buffers in STAT mode and complex number mode.

• Data items exceeded 100 in the statistics mode.

Equation too long (Error 4):

- The equation exceeded its maximum input buffer (142 characters). An equation must be shorter than 142 characters.

Equation recall error (Error 5):

- The stored equation contains a function not available in the mode used to recall the equation. For example, if a numerical value with numbers other than 0 and 1 is stored as a decimal, etc., it cannot be recalled when the calculator is set to binary.

Memory over error (Error 6):

- Equation exceeded the formula memory buffer (256 characters in total in F1 - F4).

Calculation Ranges

[28]

- Within the ranges specified, this calculator is accurate to ± 1 of the least significant digit of the mantissa. However, a calculation error increases in continuous calculations due to accumulation of each calculation error. (This is the same for y^x, x- , e^x , ln , etc., where continuous calculations are performed internally.)

Additionally, a calculation error will accumulate and become larger in the vicinity of inflection points and singular points of functions.

• Calculation ranges

±10-99 \~ ±9.9999999999×1099 and 0.

If the absolute value of an entry or a final or intermediate result of a calculation is less than 10^-99 , the value is considered to be 0 in calculations and in the display.

BATTERY REPLACEMENT

Notes on Battery Replacement

Improper handling of batteries can cause electrolyte leakage or explosion. Be sure to observe the following handling rules:

• Replace both batteries at the same time.
• Do not mix new and old batteries.
• Make sure the new batteries are the correct type.
• When installing, orient each battery properly as indicated in the calculator.
• Batteries are factory-installed before shipment, and may be exhausted before they reach the service life stated in the specifications.

Notes on erasure of memory contents

When the battery is replaced, the memory contents are erased. Erasure can also occur if the calculator is defective or when it is repaired. Make a note of all important memory contents in case accidental erasure occurs.

When to Replace the Batteries

If the display has poor contrast or nothing appears on the display even when ON/C is pressed in dim lighting, it is time to replace the batteries.

Cautions

• Fluid from a leaking battery accidentally entering an eye could result in serious injury. Should this occur, wash with clean water and immediately consult a doctor.
• Should fluid from a leaking battery come in contact with your skin or clothes, immediately wash with clean water.
• If the product is not to be used for some time, to avoid damage to the unit from leaking batteries, remove them and store in a safe place.
• Do not leave exhausted batteries inside the product.
• Do not fit partially used batteries, and be sure not to mix batteries of different types.
• Keep batteries out of the reach of children.
• Exhausted batteries left in the calculator may leak and damage the calculator.
• Explosion risk may be caused by incorrect handling.
• Do not throw batteries into a fire as they may explode.

Replacement Procedure

1. Turn the power off by pressing 2ndF OFF.
2. Remove the two screws. (Fig. 1)
3. Slide the battery cover slightly and lift it to remove.
4. Remove the used batteries by prying them out with a ball-point pen or other similar pointed device. (Fig. 2)
5. Install two new batteries. Make sure the “+” side is facing up.
6. Replace the cover and screws.
7. Press the RESET switch (on the back).

- Make sure that the display appears as shown below. If the display does not appear as shown, remove the batteries, reinstall them and check the display once again.

(Fig. 1)

(Fig. 2)

DEG

Automatic Power Off Function

This calculator will turn itself off to save battery power if no key is pressed for approximately 10 minutes.

SPECIFICATIONS

Calculations:	Scientific calculations, complex number calculations, equation solvers, statistical calculations, etc.
Internal calculations:	Mantissas of up to 14 digits
Pending operations:	24 calculations 10 numeric values (5 numeric values in STAT and complex number mode)
Power source:	Built-in solar cells3 V (DC):Backup batteries(Alkaline batteries (LR44) × 2)
Operating temperature:	0°C – 40°C (32°F – 104°F)
External dimensions:	79.6 mm (W) × 154.5 mm (D) × 13.2 mm (H)3-1/8” (W) × 6-3/32” (D) × 17/32” (H)
Weight:	Approx. 97 g (0.22 lb)(Including batteries)
Accessories:	Batteries × 2 (installed), operation manual, quick reference card and hard case

FOR MORE INFORMATION ABOUT SCIENTIFIC CALCULATOR

Visit our Web site.

http://sharp-world.com/calculator/

CALCULATION EXAMPLES

ANWENDUNGSBEISPIELE

EXEMPLES DE CALCUL

EJEMPLOS DE CÁLCULO

EXEMPLOS DE CÁLCULO

ESEMPI DI CALCOLO

REKENVOORBEELDEN

PÉLDASZÁMÍTÁSOK

PŘÍKLADY VÝPOČTŮ

RÄKNEEXEMPEL

LASKENTAESIMERKKEJÄ

ПРИМЕРЫ ВЫЧИСЛЕНИЙ

UDREGNINGSEKSEMPLER

ตัวอย่างการดำเนวณ

نماذج للحسابات

计算例子

CONTOH-CONTOH PENGHITUNGAN

CONTOH-CONTOH PERHITUNGAN

[1] ▲ ▼

13(5+2)=	ON/C 3 ( 5 +) 2 =	21.
23×5+2=	3 × 5 + 2 =	17.
33×5+3×2=	3 × 5 + 3 × 2 =	21.
→1	2ndF ▲	21.
→2	▼	17.
→3	▼	21.
→2	▲	17.

【2】SET UP

100000÷3=
[NORM1]	ON/C	100000	÷ 3 =	33'333.33333
→[FIX]	SET UP	1	0	33'333.33333
[TAB 2]	SET UP	2	2	33'333.33
→[SCI]	SET UP	1	1	3.33 × 10 ^04
→[ENG]	SET UP	1	2	33.33 × 10 ^03
→[NORM1]	SET UP	1	3	33'333.33333
3÷1000=
[NORM1]	ON/C	3 ÷ 1000 =		0.003
→[NORM2]	SET UP	1	4	3. × 10 ^-03
→[NORM1]	SET UP	1	3	0.003

【3】+ - × ÷ ( ) +/- Exp

45+285÷3=	ON/C 45 + 285 ÷ 3 =	140.
18+615-8 =	( 18 + 6 ) ÷( 15 - 8 =	3.428571429
42×(-5)+120=	42 × +/- 5 + 120 =*1 (5 +/-)*1	-90.
(5×103)÷(4×10-3)=	5 Exp 3 ÷ 4 Exp+/- 3 =	1'250'000.

[4]

34+57=	34 + 57 =	91.
45+57=	45 =	102.
68×25=	68 × 25 =	1'700.
68×40=	40 =	2'720.

【5】sin cos tan sin-1 cos-1 tan-1 π hyp arc hyp

In	log	e^x	10^x	x^-1	x^2	x^3		y^x
x	[3]	n!	nP r	nCr	%

sin60[°]=	ON/C	sin	60	=		0.866025403
cos 4 [rad]=	SET UP	0	1	cos	(
	2ndF		÷	4	)	= 0.707106781
tan ^-1 =[g]	SET UP	0	2	2ndF	tan ^-1	= 50.
	SET UP	0	0

(cosh 1.5 + sinh 1.5)^2 =	ON/C ( hyp cos 1.5 + hypsin 1.5 ) ^2 =	20.08553692
^-1 57 =	2ndF arc hyp tan ( 5÷ 7 ) =	0.895879734
ln 20 =	ln 20 =	2.995732274
log 50 =	log 50 =	1.698970004
e^3 =	2ndF e^x 3 =	20.08553692
10^1.7 =	2ndF 10^x 1.7 =	50.11872336
16 + 17 =	6 2ndF ^-1 + 7 2ndF ^-1 =	0.309523809
8^-2 - 3^4 × 5^2 =	8 y^x +/- 2 - 3 y^x 4 × 5 ^2 =	-2'024.984375
(12^3)^14 =	12 y^x 3 y^x 42ndF ^-1 =	6.447419591
8^3	8 ^3 =	512.
49 - 481 =	2ndF 49 - 4 2ndF 81 =	4.
^327	2ndF [3] 27 =	3.
4! =	4 2ndF n! =	24.
_10P_3 =	10 2ndF nPr 3 =	720.
_5C_2 =	5 2ndF nCr 2 =	10.
500×25%=	500 × 25 2ndF %	125.
120÷400=?%	120 ÷ 400 2ndF %	30.
500+(500×25%)=	500 + 25 2ndF %	625.
400-(400×30%)=	400 - 30 2ndF %	280.

• The range of the results of inverse trigonometric functions
• Der Ergebnisbereich für inverse trigonemetrische Funktionen
• Plage des résultats des fonctions trigonométriques inverses
• El rango de los resultados de funciones trigonométricas inversas
• Gama dos resultados das trigonométricas inversas
• La gamma dei risultati di funzioni trigonometriche inverse
• Het bereik van de resultaten van inverse trigonometrie
• Az inverz trigonometriai funkciók eredmény-tartománya
• Rozsah výsledků inverzních trigonometrických funkcí
• Omfång för resultaten av omvända trigonometriska funktioner
• Käänteisten trigonometristen funktioiden tulosten alue
• Диапазон результатов обратных тригонометрических функций
• Område for resultater af omvendte trigonometriske funktioner
• พิสัยของผลลัพท์ของฟังก์ชั้นตรีโกนมemตริกผกผัน
  •等一批 نتائج الدول المثلثية المعكوسة
• 反三角函数计算结果的范围
• Julat hasil fungsi trigonometri songsang
• Kisaran hasil fungsi trigonometri inversi

	= ^-1 x, = ^-1 x	= ^-1 x
DEG	-90 ≤ ≤ 90	0 ≤ ≤ 180
RAD	-2 ≤ ≤ 2	0 ≤ ≤
GRAD	-100 ≤ ≤ 100	0 ≤ ≤ 200

【6】d/dx∫dx

d/dx(x^4-0.5x^3+6x^2)	ON/C	ALPHA		y^x	4	—	0.5	ALPHA
x=2		^3	+	6	ALPHA		^2
dx=0.00002	2ndF	d/d x	2	ENT	ENT			50.
x=3	ENT	3	ENT	0.001	ENT			130.5000029
dx=0.001
f_2^8(x^2-5)dx	ON/C	ALPHA		^2	—	5
n=100	fd x	2	ENT	8	ENT	ENT		138.
n=10	ENT	ENT	ENT	10	ENT			138.

[7] DRG▶

90°→[rad]	ON/C 90 2ndF DRG▶			1.570796327
→[g]	2ndF DRG▶			100.
→[°]	2ndF DRG▶			90.
sin-10.8=[°]	2ndF sin-1 0.8 =			53.13010235
→[rad]	2ndF DRG▶			0.927295218
→[g]	2ndF DRG▶			59.03344706
→[°]	2ndF DRG▶			53.13010235

【8】ALPHA RCL STO M+ M- ANS F1 F2 F3 F4

	ON/C	8	×	2	STO	M	16.
24÷(8×2)=	24	÷	ALPHA	M	=		1.5
(8×2)×5=	ALPHA	M	×	5	=		80.
	ON/C	STO	M				0.
150×3:M1	150	\times	3	M+			450.
+)250:M2=M1+250	250	M+					250.
-)M2×5%	RCL	M	\times	5	2ndF	%	35.
M	2ndF	M-	RCL	M			665.
1=¥110	110	STO	Y				110.
¥26,510=?	26510	\div	RCL	Y	=		241.
2,750=¥?	2750	×	RCL	Y	=		302'500.
r=3cm (r→Y)	3	STO	Y				3.
r^2 =?	2ndF		ALPHA	Y	^2	=	28.27433388
244+6 = 2.4...(A)	24	÷	(	4	+	6 )	=
3×(A)+60÷(A)=	3	×	ALPHA	ANS	+	60	÷
	ALPHA	ANS	=				32.2
r^2 F1	2ndF		ALPHA	Y	^2
	STO	F1					F1
	3	STO	Y				3.
V = ?	RCL	F1	×	4	÷	3	=

[9]

6+4=ANS	ON/C 6 + 4 =	10.
ANS+5	+ 5 =	15.
8×2=ANS	8 × 2 =	16.
ANS ^2	^2 =	256.
44+37=ANS	44 + 37 =	81.
=	2ndF =	9.

【10】 a^b/c d/c

312 + 43 = [a]	ON/C 3 a^b/c 1 a^b/c 2 +4 a^b/c 3 =	4 5 6 *
→[a.xxx]	a^b/c	4.833333333
→[d/c]	2ndF d/c	29 6
10^23 =	2ndF 10^x 2 a^b/c 3 =	4.641588834
( 75 )^5 =	7 a^b/c 5 y^x 5 =	16807 3125
( 18 )^13 =	1 a^b/c 8 y^x 1 a^b/c 3=	1 2
64225 =	2ndF - 64 a^b/c 225 =	8 15
2^33^4 =	( ) 2 y^x 3 ) a^b/c ( ) 3 y^x 4 ) =	8 81
1.22.3 =	1.2 a^b/c 2.3 =	12 23
1^2'3''2 =	1 D'M'S 2 D'M'S 3 a^b/c 2 =	0°31'1.5"
1× 10^32× 10^3 =	1 Exp 3 a^b/c 2 Exp 3 =	1 2
A = 7	ON/C 7 STO A	7.
4A =	4 a^b/c ALPHA A =	4 7
1.25 + 25 = [a.xxx]	1.25 + 2 a^b/c 5 =	1.65
→[a ]	a^b/c	1 13 20

* 4 5 6 = 4 56

【11】→BIN →PEN →OCT →HEX →DEC NEG NOT AND OR XOR XNOR

DEC(25)→BIN	ON/C	2ndF	←DEC	25	2ndF	←BIN	11001b
HEX(1AC)	2ndF	←HEX	1AC
→BIN	2ndF	←BIN					110101100b
→PEN	2ndF	←PEN					3203p
→OCT	2ndF	←OCT					6540
→DEC	2ndF	←DEC					428.
BIN(1010-100)	2ndF	←BIN	(	1010	-	100	)
×11 =	×	11	=				10010b
BIN(111)→NEG	NEG	111	=				1111111001b
HEX(1FF)+	2ndF	←HEX	1FF	2ndF	←OCT	+
OCT(512)=	512	=					15110
HEX(?)	2ndF	←HEX					349H

2FEC–	ON/C	STO	M	2ndF	HEX	2FEC	—
2C9E=(A)	2C9E	M+						34EH
+)2000–	2000	—
1901=(B)	1901	M+						6FFH
(C)	RCL	M						A4dH
1011 AND	ON/C	2ndF	BIN	1011	AND
101 = (BIN)	101	=						1b
5A OR C3 = (HEX)	2ndF	HEX	5A	OR	C3	=		dbH
NOT 10110 = (BIN)	2ndF	BIN	NOT	10110	=			1111101001b
24 XOR 4 = (OCT)	2ndF	OCT	24	XOR	4	=		200
B3 XNOR	2ndF	HEX	B3	XNOR
2D = (HEX)	2D	=						FFFFFFF61H
→DEC	2ndF	DEC						-159.

【12】D°M'S ↔DEG MATH (→sec, →min)

12°39'18.05"→[10]	ON/C 12 D'M'S 39 D'M'S 18.052ndF ↔DEG	12.65501389
123.678→[60]	123.678 2ndF ↔DEG	123°40'40.8"
3h30m45s +6h45m36s = [60]	3 D'M'S 30 D'M'S 45 + 6 D'M'S45 D'M'S 36 =	10°16'21."
1234°56'12" +0°0'34.567" = [60]	1234 D'M'S 56 D'M'S 12 +0 D'M'S 0 D'M'S 34.567 =	1234°56'47."
3h45m -1.69h = [60]	3 D'M'S 45 - 1.69 =2ndF ↔DEG	2°3'36."
sin62°12'24" = [10]	sin 62 D'M'S 12 D'M'S 24 =	0.884635235
24°→[ " ]	24 D'M'S MATH 2	86'400.
1500"→[ ' ]	0 D'M'S 0 D'M'S 1500 MATH 3	25.

【13】→rθ →xy ， ←，→

	ON/C 6 2ndF , 4
x = 6 \ y = 4 r = \ = [^]	2ndF [r]	7.211102551
	2ndF []	33.69006753
	2ndF [r]	7.211102551
	14 2ndF , 36
r = 14 \ = 36[^] x = \ y =	2ndF [x]	11.32623792
	2ndF [y]	8.228993532
	2ndF [x]	11.32623792

【14】CNST

V_0 = 15.3 m/s	ON/C	15.3	×	10	+	2	2ndF	x^-1	×
t = 10s	CNST	03	×	10	x^2		=		643.3325
V_0 t + 12 gt^2 = ? m

【15】CONV

125yd = ?m

ON/C

125

2ndF

CONV

5

=

114.3

【16】MATH (k, M, G, T, m, μ, n, p, f)

100m×10k=	100 MATH 1 4 X
	10 MATH 1 0 = 1'000.

【17】 MDF SET UP

5÷9=ANS	ON/C	SET UP	1	0	SET UP	2	1
ANS×9=[FIX,TAB=1]	5	÷	9	=				0.6
	×	9	=	*1				5.0
	5	÷	9	=	2ndF	MDF		0.6
	×	9	=	*2				5.4
	SET UP		1	3

*1 5.55555555555555×10-1×9
*2 0.6×9

[18] MATH (SOLV)

sin x-0.5	ON/C	sin	ALPHA		—	0.5
Start= 0	MATH	0	0	ENT	ENT		30.
Start= 180	ENT	180	ENT	ENT			150.

[19] ALGB

	MODE 0
f(x) = x^3 - 3x^2 + 2	ALPHA	x	y^x	3	-	3 ALPHA
	x	x^2	+	2	2ndF	ALGB
x = -1	1	+/-	ENT
x = -0.5	2ndF	ALGB	0.5	+/-	ENT
^2 + B^2	2ndF		(	ALPHA	A	x^2 +
	ALPHA	B	x^2	)	2ndF	ALGB
A = 2, B = 3	2	ENT	3	ENT
A = 2, B = 5	2ndF	ALGB	ENT	5	ENT

[20]	DATA	(x,y)		Sx	Gx	n	Σx	Σx2
	Sy	Gy	Σy	Σy2	Σxy	r	a	b	c
	X'	y'	←→	MATH	(→t, P(, Q(, R))

DATA
95	MODE 1 0	0.
80	95 DATA	1.
80	80 DATA	2.
75	DATA	3.
75	75 (x,y) 3 DATA	4.
75	50 DATA	5.
50
=	RCL	75.71428571
x =	RCL x	12.37179148
n=	RCL n	7.
x =	RCL x	530.
x^2 =	RCL x^2	41'200.
sx=	RCL Sx	13.3630621
sx^2 =	^2 =	178.5714286
(95-)sx × 10+50=	( 95 - ALPHA )÷ ALPHA Sx X 10+ 50 =	64.43210706

x=60→P(t)?		MATH 1 60 MATH 0 ) = 0.102012
t=-0.5→R(t)?		MATH 3 0.5 +/- ) = 0.691463
x	y	MODE 1 1	0.
2	5	2 (x,y) 5 DATA	1.
2	5	DATA	2.
12	24	12 (x,y) 24 DATA	3.
21	40	21 (x,y) 40 (x,y) 3 DATA	4.
21	40	15 (x,y) 25 DATA	5.
21	40	RCL a	1.050261097
15	25	RCL b	1.826044386
		RCL r	0.995176343
		RCL Sx	8.541216597
		RCL Sy'	15.67223812
x=3→y'=?		3 2ndF y'	6.528394256
y=46→x'=?		46 2ndF x'	24.61590706
x	y	MODE 1 2	0.
12	41	12 (x,y) 41 DATA	1.
8	13	8 (x,y) 13 DATA	2.
5	2	5 (x,y) 2 DATA	3.
23	200	23 (x,y) 200 DATA	4.
15	71	15 (x,y) 71 DATA	5.
		RCL a	5.357506761
		RCL b	-3.120289663
		RCL c	0.503334057
x=10→y'=?		10 2ndF y'	24.4880159
y=22→x'=?		22 2ndF X'	9.63201409
		2ndF ←→	-3.432772026
		2ndF ←→	9.63201409

【21】 DATA ▲ ▼

DATA
30	MODE 1 0	0.
40	30 DATA	1.
40	40 (x,y) 2 DATA	2.
50	50 DATA	3.
↓
DATA
30	▼ ▼ ▼
45	45 (x,y) 3 DATA	X2= 45.
45	▼	N2= 3.
45
60	▼ 60 DATA	X3= 60.

[22]

$$ \bar {x} = \frac {\Sigma x}{n} $$

$$ \sigma x = \sqrt {\frac {\Sigma x ^ {2} - n \bar {x} ^ {2}}{n}} $$

$$ s x = \sqrt {\frac {\sum x ^ {2} - n \bar {x} ^ {2}}{n - 1}} $$

$$ \Sigma x = x _ {1} + x _ {2} + \dots + x _ {n} $$

$$ \Sigma x ^ {2} = x _ {1} ^ {2} + x _ {2} ^ {2} + \dots + x _ {n} ^ {2} $$

$$ \bar {y} = \frac {\Sigma y}{n} $$

$$ \sigma y = \sqrt {\frac {\Sigma y ^ {2} - n \bar {y} ^ {2}}{n}} $$

$$ s y = \sqrt {\frac {\Sigma y ^ {2} - n \bar {y} ^ {2}}{n - 1}} $$

$$ \Sigma x y = x _ {1} y _ {1} + x _ {2} y _ {2} + \dots + x _ {n} y _ {n} $$

$$ \Sigma y = y _ {1} + y _ {2} + \dots + y _ {n} $$

$$ \Sigma y ^ {2} = y _ {1} ^ {2} + y _ {2} ^ {2} + \dots + y _ {n} ^ {2} $$

[23]

$$ P (t) = \frac {1}{\sqrt {2 \pi}} \int_ {- \infty} ^ {t} e ^ {- \frac {x ^ {2}}{2}} d x $$

$$ Q (t) = \frac {1}{\sqrt {2 \pi}} \int_ {0} ^ {t} e ^ {- \frac {x ^ {2}}{2}} d x $$

$$ R (t) = \frac {1}{\sqrt {2 \pi}} \int_ {t} ^ {\infty} e ^ {- \frac {x ^ {2}}{2}} d x $$

$$ t = \frac {x - \bar {x}}{\sigma x} $$

Standardization conversion formula

MODE 3
(12-6i) + (7+15i) - (11+4i) =	12 - 6 i + 7 + 15 i - ( 11 + 4 i ) = [x]
	2ndF ←→ [y]	8. + 5. i
	2ndF ←→ [x]	8.
6×(7-9i) × (-5+8i) =	6 × ( 7 - 9 i ) × ( 5 +/- + 8 i ) = [x]
	2ndF ←→ [y]	+ 606. i
16×(sin30°+ icos30°)÷(sin60°+ icos60°)=	16 × ( sin 30 + i cos 30 ) ÷ ( sin 60 + i cos 60 ) = [x]
	2ndF ←→ [y]	+ 8. i
y A r v B r1 = 8, θ1 = 70° r2 = 12, θ2 = 25° ↓ r = ?, θ = ?°	2ndF →rθ 8 ∠ 70 + 12 ∠ 25 = [r]
	2ndF ←→ [θ]	∠42.76427608
(1 + i) ↓ r = ?, θ = ?°	2ndF →xy 1 + i =
	2ndF →rθ [r]	1.414213562
	2ndF ←→ [θ]	∠45.
(2 - 3i)² =	2ndF →xy ( 2 - 3 i ) X² = [x]
	2ndF ←→ [y]	-5. -12. i
1/1 + i =	( 1 + i ) 2ndF X⁻¹ = [x]
	2ndF ←→ [y]	-0.5 i
CONJ(5+2i)	MATH 0 ( 5 + 2 i ) = [x]
	2ndF ←→ [y]	-2. i

[28]

Function	Dynamic range
Funktion	zulässiger Bereich
Fonction	Plage dynamique
Función	Rango dinámico
Função	Gama dinâmica
Funzioni	Campi dinamici
Functie	Rekencapaciteit
Függvény	Megengedett számítási tartomány
Funkce	Dynamický rozsah
Funktion	Definitionsområde
Funktion	Dynaaminen ala
Функция	Динамический диапазон
Funktion	Dynamikområde
ing ch	is inyinngarclanvoun
al,da	الن plaqالدالبانيمیکی
函数	取值范围
Fungsi	Julat dinamik
Fungsi	Kisaran dinamis
sin x , cos x ,tan x	DEG: |x| < 10^10 ( x : |x| 90 (2n-1))^* RAD: |x| < 180 × 10^10 ( x : |x| 2 (2n-1))^* GRAD: |x| < 109 × 10^10 ( x : |x| 100 (2n-1))^*
^-1x , ^-1x	|x| ≤ 1
^-1x , ^3	|x| < 10^100
In x , log x	10^-99 ≤ x < 10^100
y^x	& • y > 0: -10^100 < x y < 100 \ & • y = 0: 0 < x < 10^100 \ & • y < 0: x = n \ & (0 < |x| < 1: 1x = 2n-1, x 0)^*, \ & -10^100 < x |y| < 100
x	& • y > 0: -10^100 < 1x y < 100 (x 0) \ & • y = 0: 0 < x < 10^100 \ & • y < 0: x = 2n-1 \ & (0 < |x| < 1: 1x = n, x 0)^*, \ & -10^100 < 1x |y| < 100
e^x	-10^100 < x ≤ 230.2585092
10^x	-10^100 < x < 100
x , x , x	|x| ≤ 230.2585092
^-1 x	|x| < 10^50
^-1 x	1 ≤ x < 10^50
^-1 x	|x| < 1
x^2	|x| < 10^50
x^3	|x| < 2.15443469 × 10^33
	0 ≤ x < 10^100
x^-1	|x| < 10^100 (x 0)
n!	0 ≤ n ≤ 69^*

nPr	0 ≤ r ≤ n ≤ 99999999999^* !(n-r)! < 10^100
nCr	0 ≤ r ≤ n ≤ 99999999999^* 0 ≤ r ≤ 69 !(n-r)! < 10^100
DEG, D°M'S	0^0'0.00001'' ≤ |x| < 10000^
x, y r,	^2 + y^2 < 10^100
r, x, y	0 ≤ r < 10^100 DEG: || < 10^10 RAD: || < 180 × 10^10 GRAD: || < 109 × 10^10
DRG▶	DEG→RAD, GRAD→DEG: |x| < 10^100 RAD→GRAD: |x| < 2 × 10^98
(A+Bi)+(C+Di)	|A + C| < 10^100, |B + D| < 10^100
(A+Bi)-(C+Di)	|A - C| < 10^100, |B - D| < 10^100
(A+Bi) × (C+Di)	(AC - BD) < 10^100 (AD + BC) < 10^100
(A+Bi) ÷ (C+Di)	+ BDC^2 + D^2 < 10^100 - ADC^2 + D^2 < 10^100 C^2 + D^2 0
→DEC	DEC : |x| ≤ 9999999999
→BIN	BIN : 1000000000 ≤ x ≤ 1111111111 0 ≤ x ≤ 111111111
→PEN	PEN : 2222222223 ≤ x ≤ 4444444444 0 ≤ x ≤ 2222222222
→OCT	OCT : 4000000000 ≤ x ≤ 7777777777 0 ≤ x ≤ 3777777777
→HEX
AND	HEX : FDABF41C01 ≤ x ≤ FFFFFFFFFF 0 ≤ x ≤ 2540BE3FF
OR
XOR
XNOR
NOT	BIN : 1000000000 ≤ x ≤ 1111111111 0 ≤ x ≤ 111111111 PEN : 2222222223 ≤ x ≤ 4444444444 0 ≤ x ≤ 2222222221 OCT : 4000000000 ≤ x ≤ 7777777777 0 ≤ x ≤ 3777777777 HEX : FDABF41C01 ≤ x ≤ FFFFFFFFFF 0 ≤ x ≤ 2540BE3FE
NEG	BIN : 1000000001 ≤ x ≤ 1111111111 0 ≤ x ≤ 111111111 PEN : 2222222223 ≤ x ≤ 4444444444 0 ≤ x ≤ 2222222222 OCT : 4000000001 ≤ x ≤ 7777777777 0 ≤ x ≤ 3777777777 HEX : FDABF41C01 ≤ x ≤ FFFFFFFFFF 0 ≤ x ≤ 2540BE3FF

* n, r: integer / ganze Zahlen / entier / entero / inteiro / intero / geheel getal / egész számok / celé číslo / heltal / kokonaisluku / цельые / heltal / จำนวนเต็ม / عدد صحب / 整数 / integer / bilangan bulat

In Europe:

This equipment complies with the requirements of Directive 89/336/EEC as amended by 93/68/EEC.