MSC 240 ECO - Calculator MAUL - Free user manual and instructions

USER MANUAL MSC 240 ECO MAUL

1 ab/c 1 ab/c 3 + 1 ab/c 5 =

1/2 + 0,3

1 ab/c 2 + 0 . 3 =

1,5 als Bruch

1 . 5 = ab/c 1 . 5 = SHIFT ab/c

Dezimalwert von 1/4

1 ab/c 4 = ab/c

ab/c 1 ab/c 3 = SHIFT ab/c

1」8」15,

0.8

1」1」2,

3」2,

0,25

4」3,

Prozentrechnung

25 x 4 = SHIFT RCL ALFA M+

ALFA M+ x 10 SHIFT = +

110,

(12, 13, 21, 23, 31, 32)

3 nPr 2 =

6,

MODE MODE 1 SHIFT EXP SHIFT Ans 2 =

1 = ENG ENG ENG SHIFT ENG

1,00

1.000,03

1.000,000,06

1.000,03

SHIFT	1	2	=
SHIFT	1	2	=
SHIFT	1	3	=
SHIFT	2	1	=
SHIFT	2	2	=
SHIFT	2	3	=

SHIFT MODE 3 = MODE 3 1

SHIFT	MODE	3	=
MODE	3	▶	3

SHIFT	2			1
SHIFT	2			2
SHIFT	2			3

A	÷
B	(
C	(
D	-
E	÷
F	(
G	+

Eingabebereiche

Interne Stellen: 12

General information....31

Switching the product on/off....31

Keys 31

Display....31

Settings 31

Calculation method....31

Angle specification ....31

Display mode 32

Displays....32

Decimal point and thousand-separators 32

Standard settings 33

Settings for regression calculations....33

Input capacity....33

Entry correction....33

Refresh memory....34

Multiple calculations 34

Answer memory 34

Variables....34

Independent memory....34

Basic calculations (comp mode)....36

Arithmetic calculations....36

Fractional arithmetic....36

Percentage calculation 37

Calculations with degrees (hours), minutes, seconds....37

Rounding 38

Trigonometrical functions....38

Hyperbolic functions / area functions....39

Logarithms / antilogarithms....39

Power calculation....40

Roots 40

Reciprocal value....40

Factorials 40

Random numbers....40

Combinatorics....40

Conversion of the angle unit 41

Coordinate conversion....41

Conversion to technical notation 42

Statistical computing....42

Standard deviation (SD mode)....43

Example....44

Regression calculation (REG mode) 44

Regression formulas 45

Linear, logarithmic, exponential, power and inverse regressions 45

Linear regression examples....46

Quadratic regression....47

Example 47

Technical information 49

Error messages....49

Order of operations 50

Stacks....51

Input ranges....52

Power sources 54

Replacing the battery....54

Warranty information 55

General information

Switching the product on/off

The calculator is switched on using the ON key.

The calculator shuts down automatically if no key is pressed for six minutes.

It is possible to switch the product off manually using the key sequence SHIFT AC.

All stored values and settings are saved after switching the calculator on and off.

Keys

Some of the keys have two or three functions:

Key lettering: Primary function

White lettering above the key: Function after pressing SHIFT

White lettering above the key: Function after pressing ALPHA

Display

The display has two lines: the calculation formula is indicated in the top line, the result in the bottom line.

10^7+0.25

10,000,000.25

Settings

Settings are selected by pressing the MODE key repeatedly. Settings appear in the top corner of the display.

Calculation method

The calculator supports 3 calculation methods, which must be selected before calculations:

Standard deviations (SD)

Regression calculations (REG)

Angle specification

The angle specification can be selected by pressing the MODE key twice.

1

2

3

° (Deg)

Radians (Rad)

Grads (Grad)

Display mode

The calculator can display up to 10 digits. Larger values are automatically displayed using exponential notation for every setting. The display format can be set by pressing the MODE key 3 times.

Fixed decimal (Fix)

Exponential (Sci)

Normal (Norm)

The number of decimals or digits for exponential notation can be adjusted using “Fix” and “Sci.”

There are 2 modes to choose from in the "Norm" setting:

Norm 1

Exponential notation for integers with more than 10 digits and for decimal values with more than 2 decimal places.

The examples in these operating instructions use the Norm 1 mode

Norm 2

Exponential display for integers with more than 10 digits and for decimal values with more than nine decimal places.

Displays

By pressing the MODE key 4 times, the display of fractions, as well as the decimal, and the thousands separator can be modified.

Fractions

The key 1 can be used to navigate to the display to set fractions:

Mixed fractions (a b/c)

False fractions (a/b)

Decimal point and thousand-separators

The cursor can be used ▶ to navigate setting the decimal point and the

Thousands separator:

European formatting (comma)

American formatting (dot)

The examples in these operating instructions use European formatting

Standard settings

Calculation method COMP

Angle specification Degree

Display mode Norm1

Fraction mode ab/c

Decimal point Dot

If settings have been modified, they can be reset to standard values using "Clr" (=key sequence SHIFT MODE) 3) = .

Settings for regression calculations

The REG mode setting allows additional settings, which are described in the section on regression calculations.

Input capacity

The memory for entering calculations can store 79 steps. One step is used each time a number key or operation key is pressed. The SHIFT and ALFA keys do not require a step, SHIFT followed by sin therefore only requires one step.

If more than 73 steps are entered, the cursor is displayed as “■” instead of “_ { to indicate that the maximum memory capacity has almost been reached. If more than 79 steps are needed, the calculation must be split.

The last answer can be called up with the Ans key to use it for additional calculations (see "Answer memory")

Entry correction

The cursor can be moved using the ▶ and ◀ in the desired position to overwrite characters.

The DEL key can be used to delete the cursor position. Insert mode is started using the "Ins" function (=key sequence SHIFT DEL), the insert cursor is displayed and additional characters can be entered at this position. To exist insert mode, use the "Ins" function (key sequence SHIFT DEL) or the = key and the normal cursor will be displayed again

After an error occurs, the calculation formula is displayed using the cursor keys and the cursor is placed where the error occurs.

Refresh memory

The calculation formula and the answer are stored in the refresh memory. The memory capacity is 128 bytes.

After a calculation is completed, the calculation can be edited using the ▶ ▶.

The refresh memory is not deleted using the AC, the last calculation can also be edited again using the ▼ key.

The refresh memory is deleted if:

The ON key is pushed.

If the calculation mode or the settings are changed (see basic settings).

The calculator is shut off.

Multiple calculations

Formulas can be separated using the colon “:” (key sequence ALFA pol() to execute them subsequently.

The following formula can be entered instead of “(30+20)x5”:

30 + 20 ALFA pol( Ans x 5 =

Answer memory

The answer memory can store 12 digits for the mantissa and two digits for exponents.

The answer memory is refreshed after using the functions “=” “%” “M+” “M-” and “STO”, unless an error has occurred.

The answer memory is called up using the Ans key and can

be used in the next calculation for functions of the Type A ( (x,x^3,x^-1,x! , DRG▶ ) and for +,-,^,x- , x, ÷, nPr and nCr.

Variables

There are 9 variables (A to F, M, X and Y) available to store data.

Values with the “STO” function (key sequence SHIFT RCL) + letter are store with the corresponding variables

The value with a variable can be called up using RCL + letter

The variables can be used in calculations via ALFA + letter

The data of a variable are deleted using 0 "STO" + letter

Using “CLR” (key sequence SHIFT MODE) 1 the values of all variables can be deleted at the same time.

Example

store 100 in Variable A

Use variable A in the formula

Delete variable value again

100,

200,

0

Independent memory

The independent memory uses the same memory area as the Variable M and is particularly suited for summation due to the “M+” “M-” functions

Example:

10	x	5	SHIFT	RCL	M+
25	M+
200	÷	5	SHIFT	M+
RCL	M+

Initialize memory using 10x5

add 25 in the memory

Subtract 200: 5 from the memory

Call up sum

	50,
	25,
	40,
	35,

Basic calculations

The calculation type must be set to "COMP".

If necessary, it must be set using the MODE 1.

The calculator can also be initialized using "Clr All" (key sequence with SHIFT MODE) + 3, in this case it is set to "COMP" and all stored values are deleted (see settings).

Some calculation types, especially scientific functions require more time for execution; it is necessary to wait until the answer is displayed before continuing to enter calculations.

Arithmetic calculations

Negative values, except exponents, must be placed in parentheses.

The parenthesis does not have to be closed at the end of a calculation.

Examples:

2x(-3)x3

2x10-2

2x(1+2)

Fractional arithmetic

Specify in the setting, whether false fractions (e.g. 5/3) or mixed fractions (e.g. 1 2/3) are used. An error is reported, if a mixed fraction is entered using the “false fractions” setting.

If the total in the answer is more than 10 digits, the value is indicated as decimals.

The answers for mixed fraction/decimal calculations are always indicated as decimals.

The conversion of fraction can take several seconds

Examples

1 1/3 + 1/5

1/2 + 0,3

1,5 as a fraction

Decimal value of 1/4

1 1/3 as a false fraction 1

Percentage calculation

The % function is called up using the key sequence SHIFT =

Examples:

10% of 200

1000 + 5%

1000 - 5%

% percentage 40 of 1000

% increase from 500 to 200+500

A % addition or subtraction is not possible in the answer memory, the subtotal must be stored in form of a variable or in the temporary storage.

Example:

(25 x 4) + 10%

Calculations with degrees (hours), minutes, seconds

It is possible to perform calculations with degrees (hours), minutes, and seconds and values can be converted between angular measures (or hours) and decimal values.

Examples

2^20'+45'

20 x 1,5

Converting 2,52 in angular measures

Converting 2° 45' into a decimal value

Rounding

The display of the values is determined under settings, and can be adjusted to "Fix", "Sci", or "Norm" using the MODE key, as well as the number of decimal places or number of digits for exponential notation (see settings).

Displaying 12,562 with 2 decimal places

MODE MODE MODE 1 2 (if it has not yet been set)

12.567 =

The display shows a rounded number, but 12 decimal places continue to be used for calculations

The “Rnd” function can be used (key sequence SHIFT 0) to only include the displayed decimal places in calculations:

Rounding 12,567 to 2 decimal places

MODE MODE MODE 1 2

(if it has not yet been set)

Trigonometrical functions

The unit for angular measures is adjusted under settings and can be changed using the MODE (see settings).

Examples:

sin n/6 rad MODE MODE 3 sin | SHIFT EXP ÷ 6 | (n/6 rad = 30°) (if it has not yet been set) cos 60° MODE MODE 1 cos 60 = (if it has not yet been set) tan 50 degrees (50 degrees = 45°) MODE MODE 3 tan 50 = (if it has not yet been set) tan-1 (1) in ° MODE MODE 1 SHIFT tan 1 = (if not set to Deg)

0,5 0,5 1, 45,

Hyperbolic functions / area functions

Hyperbolic sine function

sinh 5.2

90,63336266

Inverse hyperbolic functions

sinh -1 50

4,605270171

Logarithms / antilogarithms

Natural logarithms (base e)

In 25

3,218875825

Common logarithms (base 10)

log 25

1,397940009

Antilogarithms

Base e

24,5325302

Base 10

25,11886432

Power calculations

Square of 6:

Cube of 7:

4 to the power of 5:

Roots

Square root of 9:

Cube root of 125:

5th root of 243:

Reciprocal value

Reciprocal value of 3/4:

Factorials

Factorials of 5 (=5x4x3x2x1)

Random numbers

Random number between 0 and 999

Combinatorics

Combinations

How many teams of 2 can be created with 3 persons

(12≌21, 13≌31, 23≌32)

Permutations

How many different 2-digit numbers can be generated from 3 numbers, if a number can only be selected once.

(12, 13, 21, 23, 31, 32)

3 nPr 2 =

6,

Conversion of the angle unit

The answer is provided in the unit determined in settings.

The entry can be made in Deg, Rad, or degrees.

n (key sequence SHIFT EXP) Converting radians to °

MODE MODE 1 SHIFT EXP SHIFT Ans 2 =

(if it has not yet been set)

180

Converting 90° into centesimal degrees

MODE MODE 3 90 SHIFT Ans 1 = (if it has not yet been set)

100,

Coordinate conversion

The calculation results are stored in the variables E (key sequence ALFA cos) and F (key sequence ALFA TarI).

Converting polar coordinates (r=1, θ=30°) in right-angled coordinates

(X=0.866025403, Y=0,5)

MODE MODE 1 (if not set to Deg) SHIFT pol(1, 30) X ALFA tan Y

0,866025403 0,866025403

Converting right-angled coordinates (1, 1) in polar coordinates (Deg)

(x=2,=45^)

MODE MODE 1 (if it has not yet been set)

pol(1, 1) x

1,414213562 45,

ALFA Tan θ

Conversion to technical notation

The display is converted independently of the format determined in the settings into technical notation using the ENG key.

By pressing the key repeatedly, the number of digits is increased by 3. The key sequence

SHIFT ENG reduces the number by 3.

1 = ENG ENG ENG SHIFT ENG

1,00

1.000,03

1.000,000,06

1.000,03

Statistical computing

The memory must be erased before calculation. It can be deleted using the key sequence SHIFT MODE 1 II.

Standard deviation

The calculator must be set to SD mode (key sequence MODE 2.)

Entry data are used to calculate the values for n (count), x(sum) , x^2 , (sum of squares), x (arithmetic mean), _n (standard deviation), _n-1 (random standard deviation).

Data entry is made using the value, followed by the M^+ key, the count of data entered is shown in the top line of the display.

A value can also be repeated multiple times without repeat entries by pressing M+ or by using the key sequence:

Value, SHIFT , number of occurrences

During or after completing data entry, the data can be checked using the key sequence ▶, ◀. After the data value is displayed, the frequency of the value is shown for multiple entries by M+ if the value occurs with a frequency of 1 and was entered using SHIFT, the corresponding frequency is shown. Values can be modified, deleted, or entered additionally:

Entry = Value will be modified

SHIFT MODE Value will be deleted

Entry M+ Value is entered additionally, the previous value remains

The data are stored in the memory. When the memory is full, the alert "Data Full" is shown. The key = can be used to decide how to react to this:

2 Cancel, the value will not be stored 1 The value is stored, but can neither be displayed nor changed while scrolling.

After changing the calculation mode, the data can no longer be displayed or modified.

Results can be called up after calculation using the following keys:

Σx² SHIFT 1 1 Sum of squares Σx SHIFT 1 2 Sum of values n SHIFT 1 3 Number of values

_n _n - 1

SHIFT 2 1 SHIFT 2 2 SHIFT 2 3

Arithmetic mean

Total deviation

Random standard deviation

Example:

n, x , x^2 , , n , n-1 for the following values: 10, 15, 15, 12, 11, 11, 11, 11, 11

SHIFT MODE 1 MODE 2 10 M+ 15 M+ M+ 12 M+ 11 SHIFT , 5 M+

Delete memory

Switch on SD mode

Value 10 with a frequency of 1

2x value of 15 with a frequency of 1

Value 12 with a frequency of 1

Value 11 with a frequency of 5

SHIFT 1 2 = SHIFT 1 2 = SHIFT 1 3 = SHIFT 2 1 = SHIFT 2 2 = SHIFT 2 3 =

Σx2 sum of squares

Σx sum of values

n number of values

Arithmetic mean

_n Total deviation

_n - 1 Random standard deviation

1.299,

107,

9,

11,88888889,

1,728483243,

1,833333333

Regression calculation (REG mode)

The calculator must be set to SD mode (key sequence MODE 3).

The following additional settings are required for SD mode:

Logarithmic regression

Exponential regression

Power regression

Inverse regression

Quadratic regression

The memory and variables must be erased before calculation. It can be deleted using the key sequence SHIFT MODE 1 or 3.

Data are entered using the x-value, y-value M^+ , the number of data pairs entered is shown in the top line of the display.

A value pair can also be repeated multiple times without repeat entries by pressing M^+ or

by using the key sequence:

x-value, y-value SHIFT, Frequency M+

After and during entry, data can be edited as shown in the section on standard deviation, however the x and y-values will be shown separately.

The variables are deleted if the regression type is modified

Regression formulas

Linear regression	y = A + B ×
Logarithmic regression	y = A + B * x
Exponential regression	y = A * e^x
Power regression	y = A * x^Bx
Inverse regression	y = A + B * 1/x
Quadratic regression	y = A + Bx + Cx^2

Linear, logarithmic, exponential, power and inverse regression

Data can be called up after data entry and used in formulas similarly to variables:

Sample Linear regression

Preparation

SHIFT MODE 3 = MODE 3 1

Delete memory and variables

Set linear regression mode.

Data:

Calculation results:

SHIFT | 2 | ▶ | ▶ | 1 B SHIFT | 2 | ▶ | ▶ | 2 5 SHIFT | 2 | ▶ | ▶ | 1 200 SHIFT | 2 | ▶ | ▶ | 2

Regression coefficient A

Regression coefficient B

estimated value with x =5

estimated value with y=1000

1,18043088

14,61849192

74,27289048

13,60055266

Quadratic regression

After data entry and completing the calculation, the same data can be called up in other regression modes and be used in formulas similarly to variables; However the following applies additionally and in deviation:

Regression coefficient C instead of r

Example

Relationship between the number of work hours per week and satisfaction factor (1-100):

Hours Satisfaction
9 30
12 50
14	70
30	90
35 95
40 90
47 75
51 60
55	45
60 30

The estimated values for satisfaction are to be determined for 20 work hours per week and for the number of hours (since the regression curve is parabolic, there are 2 estimated values x_1 and x_2 ) to achieve a satisfaction factor of 80.

Preparation:

SHIFT MODE 3 = MODE 3 ▶ 3

Delete memory and variables

Set quadratic regression mode

Data:

9 , 30 M+ Data pair 1 frequency 1 12 , 50 M+ Data pair 2 frequency 1 14 , 70 M+ Data pair 3 frequency 1 30 , 90 M+ Data pair 4 frequency 1 35 , 95 M+ Data pair 5 frequency 1 40 , 90 M+ Data pair 6 frequency 1 47 , 75 M+ Data pair 7 frequency 1 51 , 60 M+ Data pair 8 frequency 1 55 , 45 M+ Data pair 9 frequency 1 60 , 30 M+ Data pair 10 frequency 1

Calculation results:

SHIFT 2 ▶ ▶ 1 SHIFT 2 ▶ ▶ 2 SHIFT 2 ▶ ▶ 3

Regression coefficient A

Regression coefficient B

Regression coefficient C

-11,37086377

6,332638377

0,095418311

Estimated values:

80 SHIFT 2 ▶ ▶ ▶ 1 _1: Hours for satisfaction factor of 80 21,20163378 80 SHIFT 2 ▶ ▶ ▶ 2 _2: Hours for satisfaction factor of 80 45,16548472 20 SHIFT 2 ▶ ▶ ▶ 3 : Satisfaction at 20 h 77.11457922

Technical information

Error messages

Error messages can be deleted using the AC key, please check the settings and calculation formulas in this case (see section 1). If no error is found, the calculator must be reset using the key sequence SHIFT MODE 2 or 3 = (the stored values are deleted for 3). If the condition continues to be abnormal, switch the calculator off and back on, then a self-check is implemented and all data are erased.

Math ERROR

The calculation result or entered values are outside of the permitted calculation range or an illegal operation has occurred (e.g. division by zero).

Check that the entered values (also saved values) are authorized (see table)

Stack ERROR

The stack capacity has been exceeded (numeric stack of max.10 levels, command stack max. 24 levels). The calculation must be simplified or divided

Syntax ERROR

Illegal mathematic operation, correct the calculation formula

Arg ERROR

Improper use of argument, the entry values or formulas must be corrected

Order of operations

The calculation operations are performed in the following sequence of precedence:

1 Coordinate transformation: Pol (x,y), Rec (r, )
2 Type A functions (value is entered and then the function key):
3 Powers and roots: ^, xy, x√

$$ \mathsf {x} ^ {3}, \mathsf {x} ^ {2}, \mathsf {x} ^ {1}, \mathsf {x}!, \dots , \hat {\mathsf {x}}, \hat {\mathsf {x}} _ {1}, \hat {\mathsf {x}} _ {2}, \hat {\mathsf {y}}, \mathsf {D R G} \blacktriangleright $$

4 a b/c

5 Abbreviated multiplication format in front of n, e (base of natural logarithm), Memory name or variable name: 2 n, 3e, 5A, nA etc.

6 Type B functions (value after function key):

-3-1 , lg, ln, ex, 10x, sin, cos, tan, sin-1, cos-1, tan-1, sinh, cosh, tanh, sinh-1, cosh -1, tanh-1, (-)

7 Abbreviated multiplication format in front of Type B functions: 2 √3, Alog2, etc.

8 Permutations and combinations: nPr, nCr

9 x, ÷ 10 +, -

Operations of the same precedence are performed from right to left. exln -120 -ex{ln( -120 )}.

Other operations are performed from left to right.

Operations enclosed in parentheses are performed first.

Negative numbers must be placed in parentheses, the negative sign (-) is a Type B function (value after function), which is performed after Type A functions.

Example: (-3)_2=9, 32=-9

Stacks

The numeric stack for values has 10 levels and the command stack for values has 24 levels.

Storage occurs in the above-described order of precedence.

An error (Stack ERROR) occurs, if the calculation is too complicated and the capacity of the stacks is exceeded.

The stacks are deleted after the calculation is performed.

Example: 5 ÷ ((52 ÷ (3 + 7) × 3) × 2) - 8

graph TD
    A["①"] --> B["②"]
    B --> C["③"]
    C --> D["④"]
    D --> E["⑤"]
    A --> F["⑥"]
    B --> G["⑦"]
    C --> H["⑧"]
    D --> I["⑨"]
    E --> J["⑩"]

Numeric stack command stack

1	5
2	5
3	2
4	3
5	7

A	÷
B	(
C	(
D	-
E	÷
F	(
G	+

Input ranges

Internal decimal places: 12

Accuracy: typically, accuracy is ± 1 in the 10. place.

Functions	Input ranges
sinx	DEG: 0 ≤ |x| ≤ 4,499999999 × 10^10
	RAD: 0 ≤ |x| ≤ 785398163,3
	GRA: 0 ≤ |x| ≤ 4,99999999 × 10^10
cosx	DEG: 0 ≤ |x| ≤ 4,500000008 × 10^10
	RAD: 0 ≤ |x| ≤ 785398164,9
	GRA: 0 ≤ |x| ≤ 5,000000009 × 10^10
tanx	DEG: Same as sinx, except when |x| = (2n-1)x 90
	RAD: Same as sinx, except when |x| = (2n-1)x /2
	GRA: Same as sinx, except when |x| = (2n-1)x 100
^-1 x	0 ≤ |x| ≤ 1
^1 - x
^-1 x	0 ≤ |x| ≤ x 9,999999999 × 10^99
hx	0 ≤ |x| ≤ x 230,2585092
hx
h^-1 x	0 ≤ |x| ≤ x 4,999999999 × 10^99
h^-1 x	1 ≤ x ≤ x 4,999999999 × 10^99
	0 ≤ |x| ≤ x 9,999999999 × 10^99
h^-1 x	0 ≤ |x| ≤ x 9,999999999 × 10^1
x / In	0 < x ≤ 9,999999999 × 10^99
10^x	-9,999999999 × 10^99 ≤ x ≤ 99,99999999
e^x	-9,999999999 × 10^99 ≤ x ≤ 230,2585092
	0 ≤ x < 1 × 10^100
x^2	|x| < 1 × 10^50
1/x	|x| < 1 × 10^100; x 0
[3]x x!	|x| < 1 × 10^100 0≤ x ≤ 69 (x is an integer)
nPr	0≤ n < 11x,10≤ r ≤ n(n, r sind Ganzzahlen)1 ≤ {n! / (n -)!}≤1x10100
nCr	0≤ n < 11x,10≤ r ≤ n(n, r, are integers)1 ≤ [n! / {r! (n -)!}]≤1x10100
Pol(x, y)	|x|, |y| ≤ 9,999999999 x 1049(x2 + y2) ≤ 9,999999999 x 1099
Red(r, θ)	0 ≤ r ≤ x 9,999999999 x 1099θ: (Same as sin x)
°; “	|a|, b, c<1x101000≤b,c
°; “	|x| <1x10100(Decimal <> sexagesimal conversion)0°0°0° ≤ |x| ≤ 999999°59
^ (xy)	x > 0: -1x10000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
	x = 0: y > 0x < 0: y = n1/n+1 (n is an integer)However: -1x10100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

The answer memory can store 10 digits for the mantissa and 2 digits for exponents, the accuracy is ± 1 for the 10th digit. In the exponential display, the calculation error ± 1 in the lowest digit.

The errors add up for continuous calculations and can become bigger, which also applies to repeated internal calculations such as , x- , x! , nPr, nCr etc.

The errors can also become bigger close to the singular and turning points of a function.

Power sources

Solar energy: The ECO calculators obtain are powered by solar cells that convert sunlight into electricity. In the absence of light, the display may fail or no longershow correct data. In this case, make sure that the calculator is sufficiently illuminated by a second light source. The minimum light intensity required foroperation is 50 lux.

Warranty information

Jakob Maul GmbH, Jakob-Maul-Str. 17, D-64732 Bad König, Phone: [phone], Fax: [phone], Email: [e-mail]: (hereafter “Manufacturer”) guarantees the end customer (hereafter “Customer”) according to the following provisions that products delivered to customers in Germany, Austria, or Switzerland will be free from material or manufacturing defects for a time period of 5 years from the date of delivery (warranty period). The manufacturer shall rectify claims asserted for such defects at their expense by repairing the product or supplying new or refurbished parts at their own discretion. The warranty does not cover any included batteries. Other customer claims against the manufacturer, particularly for compensation, are excluded.

In addition to this product warranty, the Customer's legal warranty claims against the manufacturer or retailer remain unaffected by this warranty. Claims arising from this warranty are only valid, if the product does not have any damages or wear caused by improper use of the product. In particular, damages caused by improper use of the product include damages due to impact or shock, or damages caused by improper repairs not implemented by the manufacturer.

Claims arising from this warranty can only be asserted by returning or sending the product to the retailer, or directly to the manufacturer. The prerequisite for the warranty claim is the provision of an original receipt including purchase date.

The warranty applies to the aforementioned extent and is subject to the above-mentioned requirements, including the submission of the proof of purchase or, in case of resale, for any owner of the product residing in Germany, Austria, or Switzerland.

The warranty is subject to the laws of the Federal Republic of Germany excluding UN sales law. For customers, who conclude the agreement for a purpose not related to professional or commercial activities (end users), the choice of law does not affect the obligatory provisions of the nation's law in which the customer maintains their usual residence.

Table des matières

Généralités ....58

Allumer/éteindre 58

Touches....58

Ecran....58

Réglages 58

Mode de calcul....58

Écart type (mode SD)....70

Exemple....71

Fractions mixtes (a b/c)

Fractions impropres (a/b)

10 x 5 SHIFT RCL M+ 25 M+ 200 ÷ 5 SHIFT M+ RCL M+

1 ab/c 1 ab/c 3 + 1 ab/c 5 =

1」8」15,

1/2 + 0,3

1 ab/c 2 + 0 . 3 =

0.8

1,5 comme fraction

1 . 5 = ab/c 1 . 5 = SHIFT ab/c

1」1」2, 3」2,

ab/c 1 ab/c 3 = SHIFT ab/c

4」3,

Pourcentage

25 x 4 = SHIFT RCL ALFA M+

ALFA M+ x 10 SHIFT = +

110,

(12, 13, 21, 23, 31, 32)

3 nPr 2 =

6,

MODE MODE 1 SHIFT EXP SHIFT Ans 2 =

1 = ENG ENG ENG SHIFT ENG

1,00

1.000,03

1.000,000,06

1.000,03

SHIFT MODE 3 = MODE 3 1

SHIFT	MODE	3	=
MODE	3	▶	3

A	÷
B	(
C	(
D	-
E	÷
F	(
G	+

Zones de saisie

1 . 5 = ab/c 1 . 5 = SHIFT ab/c

(12, 13, 21, 23, 31, 32)

3 nPr 2 =

6,

1 = ENG ENG ENG SHIFT ENG

1,00

1.000,03

1.000,000,06

1.000,03

Calcoli statistici

SHIFT	1	2	=
SHIFT	1	2	=
SHIFT	1	3	=
SHIFT	2	1	=
SHIFT	2	2	=
SHIFT	2	3	=

Somma dei quadrati

Somma dei valori

Numero dei valori

SHIFT MODE 3 = MODE 3 1

SHIFT	MODE	3	=
SHIFT	MODE		13

A	÷
B	(
C	(
D	-
E	÷
F	(
G	+

Aree di immissione

Cifre interne: 12

1 ab/c 1 ab/c 3 + 1 ab/c 5 =

1/2 + 0,3

1 ab/c 2 + 0. 3 =

1,5 como fracción

1 . 5 = ab/c 1 . 5 = SHIFT ab/c

Valor decimal de 1/4

1 ab/c 4 = ab/c

ab/c 1 ab/c 3 = SHIFT ab/c

1」8」15,

0,8

1」1」2, 3」2,

0,25

4」3,

25 x 4 = SHIFT RCL ALPHA M+

ALPHA M+ x 10 SHIFT = +

110,

(12, 13, 21, 23, 31, 32)

3 nPr 2 =

6,

MODE MODE 1 SHIFT EXP SHIFT Ans 2 =

MODE MODE 3 90 SHIFT Ans 1 =

1 = ENG ENG ENG SHIFT ENG

1,00

1.000,03

1.000,000,06

1.000,03

SHIFT MODE 3 = MODE 3 1

SHIFT	MODE	3	=
MODE	3	▶	3

SHIFT	2			1
SHIFT	2			2
SHIFT	2			3

A	÷
B	(
C	(
D	-
E	÷
F	(
G	+

©

Funciones	Campo de entrada
x!	0≤ x ≤ 69 (x es un número entero)
nPr	0≤ n < 1x,10≤ r ≤ n(n, r son números enteros)1 ≤ {n! / (n -)!}×1×10100
nCr	0≤ n < 1x,10≤ r ≤ n(n, r son números enteros)1 ≤ [n! / {r! (n -)!}]×1×10100
Pol(x,y)	|x|, |y| ≤ 9,999999999 × 1049(x2 + y2) ≤ 9,999999999 × 1099
Rec(r,θ)	0 ≤ r ≤ x 9,999999999 × 1099θ: (lgual que sin x)
°‘ “°‘ “	|a|, b, c<1×101000≤b,c
	|x| <1×10100(Conversion decimal <> sexagesimal)0°0°0° ≤ |x| ≤ 999999°59
^ (xy)	x > 0: -1x10000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
	Sin embargo: -1×10100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

1 ab/c 1 ab/c 3 + 1 ab/c 5 =

1/2 + 0,3

1 ab/c 2 + 0 . 3 =

1,5 como fração

1 . 5 = ab/c 1 . 5 = SHIFT ab/c

Valor decimal de 1/4

1 ab/c 4 = ab/c

ab/c 1 ab/c 3 = SHIFT ab/c

1」8」15,

0.8

1」1」2,

3」2,

0,25

4」3,

25 x 4 = SHIFT RCL ALFA M+

ALFA M+ x 10 SHIFT = +

110,

Cálculos com graus (horas), minutos, segundos

Os graus (horas), minutos e segundos podem ser calculados e os valores podem ser convertidos entre a medida angular (ou horas) e os valores decimais.

Exemplo

2^20^+45^

20' × 1,5

(12, 13, 21, 23, 31, 32)

3 nPr 2 =

6,

MODE MODE 1 SHIFT EXP SHIFT Ans 2 =

MODE MODE 3 90 SHIFT Ans 1 =

1 = ENG ENG ENG SHIFT ENG

1,00

1.000,03

1.000,000,06

1.000,03

SHIFT MODE 3 = MODE 3 1

SHIFT	MODE	3	=
MODE	3	▶	3

SHIFT	2			1
SHIFT	2			2
SHIFT	2			3

A	÷
B	(
C	(
D	-
E	÷
F	(
G	+

Área de introdução

10	x	5	SHIFT	RCL	M+
25	M+
200	÷	5	SHIFT	M+
40,
RCL	M+

1 ab/c 1 ab/c 3 + 1 ab/c 5 =

1/2 + 0,3

1 ab/c 2 + 0 . 3 =

1,5 als breuk

1 . 5 = ab/c 1 . 5 = SHIFT ab/c

ab/c 1 ab/c 3 = SHIFT ab/c

1」8」15,

0.8

1」1」2,

3」2,

0,25

4」3,

Procenten

25 x 4 = SHIFT RCL ALFA M+

ALFA M+ x 10 SHIFT = +

110,

(12, 13, 21, 23, 31, 32)

3 nPr 2 =

6,

1 = ENG ENG ENG SHIFT ENG

1,00

1.000,03

1.000,000,06

1.000,03

Statistische berekeningen

SHIFT MODE 3 = MODE 3 1

geheugen en variabelen wissen modus lineaire regressie instellen

Gegevens:

7 , 105 M+ 12 , 170 M+ 15 , 230 M+ 21 , 300 M+ 26 , 385 M+

SHIFT MODE 3 = MODE 3 ▶ 3

geheugen en variabelen wissen

modus kwadratische regressie instellen

Gegevens:

9	,	30	M+
12	,	50	M+
14	,	70	M+
30	,	90	M+
35	,	95	M+
40	,	90	M+
47	,	75	M+
51	,	60	M+
55	,	45	M+
60	,	30	M+

A	÷
B	(
C	(
D	-
E	÷
F	(
G	+

Invoerbereiken

Interne posities: 12

1 ab/c 1 ab/c 3 + 1 ab/c 5 =

1/2 + 0,3

1 ab/c 2 + 0 . 3 =

1,5 jako ułamek

1 . 5 = ab/c

1.5 = SHIFT ab/c

ab/c 1 ab/c 3 = SHIFT ab/c

1」8」15,

0.8

1」1」2,

3」2,

0,25

4」3,

25 x 4 = SHIFT RCL ALFA M+

ALFA M+ x 10 SHIFT = +

110,

(12, 13, 21, 23, 31, 32)

3 nPr 2 =

6,

MODE MODE 1 SHIFT EXP SHIFT Ans 2 =

1 = ENG ENG ENG SHIFT ENG

1,00

1.000,03

1.000,000,06

1.000,03

SHIFT	1	2	=
SHIFT	1	2	=
SHIFT	1	3	=
SHIFT	2	1	=
SHIFT	2	2	=
SHIFT	2	3	=

SHIFT MODE 3 = MODE 3 1

SHIFT MODE 3 = MODE 3 ▶ 3

A	÷
☒	(
C	(
D	-
E	÷
F	(
G	+

The image contains no text or characters. It is a blank rectangular box.

Törtszámítás

1 ab/c 1 ab/c 3 + 1 ab/c 5 =

1」8」15,

1/2 + 0,3

1 ab/c 2 + 0 . 3 =

0.8

1,5 törtként

1 . 5 = ab/c 1 . 5 = SHIFT ab/c

1」1」2, 3」2,

ab/c 1 ab/c 3 = SHIFT ab/c

4」3,

Százalékszámítás

25 x 4 = SHIFT RCL ALFA M+

ALFA M+ x 10 SHIFT = +

110,

(12, 13, 21, 23, 31, 32)

3 nPr 2 =

6,

MODE MODE 1 SHIFT EXP SHIFT Ans 2 =

MODE MODE 3 90 SHIFT Ans 1 =

SHIFT	1	2	=
SHIFT	1	2	=
SHIFT	1	3	=
SHIFT	2	1	=
SHIFT	2	2	=
SHIFT	2	3	=

SHIFT MODE 3 = MODE 3 1

SHIFT MODE 3 = MODE 3 ▶ 3

A	÷
B	(
C	(
D	-
E	÷
F	(
G	+

Beviteli területek

Belső helyek: 12

10 x 5 SHIFT RCL M+ 25 M+ 200 ÷ 5 SHIFT M+ RCL M+

1 ab/c 1 ab/c 3 + 1 ab/c 5 =

1」8」15,

1/2 + 0,3

1 ab/c 2 + 0 . 3 =

0.8

1,5 kot ulomek

1 . 5 = ab/c 1 . 5 = SHIFT ab/c

1」1」2, 3」2,

Decimalna vrednost 1/4

1 ab/c 4 = ab/c

0,25

ab/c 1 ab/c 3 = SHIFT ab/c

4」3,

Odstotni izračun

25 x 4 = SHIFT RCL ALFA M+

ALFA M+ x 10 SHIFT = +

110,

Izračuni s stopinjami (ure), minute, sekunde

(12, 13, 21, 23, 31, 32)

3 nPr 2 =

6,

MODE MODE 1 SHIFT EXP SHIFT Ans 2 =

MODE MODE 3 90 SHIFT Ans 1 =

(X=0.866025403, Y=0,5)

1 = ENG ENG ENG SHIFT ENG

1,00

1.000,03

1.000,000,06

1.000,03

SHIFT 1 1 SHIFT 1 2 SHIFT 1 3 SHIFT 2 1

Vsota kvadratov

Vsota vrednosti

Prikaz vrednosti

Aritmetična sredina

_n

_n - 1

Skupni odklon

Vzorčni odklon

Primer:

n, x , x^2 , , _n , _n-1 za vrednosti: 10, 15, 15, 12, 11, 11, 11, 11, 11, 11

SHIFT 1 2 = SHIFT 1 2 = SHIFT 1 3 = SHIFT 2 1 = SHIFT 2 2 = SHIFT 2 3 =

SHIFT MODE 3 = MODE 3 1

Brisanje pomnilnika in spremenljivk

Nastavljanje načina linearne regresije

Podatki:

7 , 105 M+ 12 , 170 M+ 15 , 230 M+ 21 , 300 M+ 26 , 385 M+

Par podatkov 1 Frekvenca 1

Par podatkov 2 Frekvenca 1

Par podatkov 3 Frekvenca 1

Par podatkov 4 Frekvenca 1

Par podatkov 5 Frekvenca 1

Rezultati:

SHIFT	MODE	3	=
MODE	3	▶	3

Brisanje pomnilnika in spremenljivk

Nastavljanje načina kvadratne regresije

Podatki:

9	,	30	M+
12	,	50	M+
14	,	70	M+
30	,	90	M+
35	,	95	M+
40	,	90	M+
47	,	75	M+
51	,	60	M+
55	,	45	M+
60	,	30	M+

A	÷
B	(
C	(
D	-
E	÷
F	(
G	+

Polja za vnos

10 x 5 SHIFT RCL M+ 25 M+ 200 ÷ 5 SHIFT M+ RCL M+

1 ab/c 1 ab/c 3 + 1 ab/c 5 =

1/2 + 0,3

1 ab/c 2 + 0 . 3 =

1,5 jako zlomek

1 . 5 = ab/c 1 . 5 = SHIFT ab/c

ab/c 1 ab/c 3 = SHIFT ab/c

Výpočet procent

25 x 4 = SHIFT RCL ALFA M+

ALFA M+ x 10 SHIFT = +

1」8」15,

0.8

1」1」2,

3」2,

0,25

4」3,

20,

1,050,

950,

4,

140,

110,

(12, 13, 21, 23, 31, 32)

3 nPr 2 =

6,

MODE MODE 1 SHIFT EXP SHIFT Ans 2 =

MODE MODE 3 90 SHIFT Ans 1 =

1 = ENG ENG ENG SHIFT ENG

1,00

1.000,03

1.000,000,06

1.000,03

Statistické výpočty

SHIFT 2 1 SHIFT 2 2 SHIFT 2 3

Aritmetický průměr

Celková odchylka

Výběrová odchylka

Příklad:

n, x , x^2 , , _n , _n-1 pro hodnoty: 10, 15, 15, 12, 11, 11, 11, 11, 11

SHIFT MODE 1 MODE 2 10 M+ 15 M+ M+ 12 M+ 11 SHIFT , 5 M+

Pamět smazat

Zapnout režim SD

SHIFT 1 2 = SHIFT 1 2 = SHIFT 1 3 = SHIFT 2 1 = SHIFT 2 2 = SHIFT 2 3 =

SHIFT MODE 3 = MODE 3 1

SHIFT	MODE	3	=
MODE	3	▶	3

A	÷
B	(
C	(
D	-
E	÷
F	(
G	+

Vstupní oblasti

Interní místa: 12

1 . 5 = ab/c 1 . 5 = SHIFT ab/c

Desatinná hodnota z 1/4

(12, 13, 21, 23, 31, 32)

3 nPr 2 =

6,

MODE MODE 1 SHIFT EXP SHIFT Ans 2 =

1 = ENG ENG ENG SHIFT ENG

1,00

1.000,03

1.000,000,06

1.000,03

Štatistické výpočty

SHIFT	1	2	=
SHIFT	1	2	=
SHIFT	1	3	=
SHIFT	2	1	=
SHIFT	2	2	=
SHIFT	2	3	=

SHIFT MODE 3 = MODE 3 1

Vymazat' pamät' a premenné

SHIFT	MODE	3	=
MODE	3	▶	3

Vymazat' pamät' a premenné

SHIFT	2			1
SHIFT	2			2
SHIFT	2			3

Regresný koefizient A

A	÷
A	(
A	(
D	-
D	÷
D	(
G	+

Oblasti zadávania

Interné miesta: 12

Presnost: Vo všeobecnosti je presnost ± 1 na 10. mieste.

Funkcie	Oblast' zadávania
sinx	DEG: 0≤|x| ≤ 4,499999999 x 1010
	RAD: 0≤|x| ≤ 785398163,3
	GRA: 0≤|x| ≤ 4,99999999 x 1010
cosx	DEG: 0≤|x| ≤ 4,500000008 x 1010
	RAD: 0≤|x| ≤ 785398164,9
	GRA: 0≤|x| ≤ 5,000000009 x 1010
tanx	DEG: Rovnaké ako sinx, okrem prípadov, ked' |x| = (2n-1)x 90
	RAD: Rovnaké ako sinx, okrem prípadov, ked' |x| = (2n-1) x π/2
	GRA: Rovnaké ako sinx, okrem prípadov, ked' |x| = (2n-1)x 100
sin-1x	0 ≤ |x| ≤ 1
cos1-x
tan-1x	0 ≤ |x| ≤ x 9,999999999 x 1099
sin hx	0 ≤ |x| ≤ x 230,2585092
cos hx
sin h-1x	0 ≤ |x| ≤ x 4,999999999 x 1099
cos h-1x	1 ≤ x ≤ x 4,999999999 x 1099
tanhx	0 ≤ |x| ≤ x 9,999999999 x 1099
tan h-1x	0 ≤ |x| ≤ x 9,999999999 x 10-1
log x / In	0 < x ≤ 9,999999999 x 1099
10x	-9,999999999 x 1099 ≤ x ≤ 99,99999999
ex	-9,999999999 x 1099 ≤ x ≤ 230,2585092
√x	0 ≤ x < 1 x 10100
x2	|x| < 1 x 1050
1/x	|x| < 1 x 10100; x ≠ 0
3√x	|x| < 1 x 10100
x!	0≤ x ≤ 69 (x je celé číslo)
nPr	0≤ n < 1x1010, 0≤ r ≤ n(n,r sú celé čísla)1 ≤ {n! / (n -)!}<1x10100
nCr	0≤ n < 1x1010, 0≤ r ≤ n(n,r sú celé čísla)1 ≤ [n! / {r! (n -)!}]<1x10100
Pol(x,y)	|x|, |y| ≤ 9,999999999 x 1049(x2+y2) ≤ 9,999999999 x 1099
Rec(r,θ)	0 ≤ r ≤ x 9,999999999 x 1099θ: (Rovnaké ako sin x)
°: "	|a|, b, c<1x101000≤b,c
°: "	|x| <1x10100(Desatinné <> Sexagesimal-premena)0°0°0° ≤ |x| ≤ 999999°59
^ (x y)	x >0: -1x10000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
x√y	y>0: x ≠0-1x10100<1/ xlog y<100y = 0: x >0y < 0: x = 2n 1/n(n je celé číslo)Avšak: -1x10100< ylog |x|<100
a b/c	Súčet miest pre celé číslo, čitatel' a menovatel' nesmie byt' viac ako 10 číslic (vrátane značiek delenia)
SD(REG)	|x| <1x1050 xσn, yσn, x̄, ȳ: n ≠ 0|y| <1x1050 xσn - 1, yσn - 1, A, B, r:|n| <1x10100 n≠ 0, 1

1 Sabit virgül (Fix) 2 Üstel (Sci) 3 Normal (Norm)

1 ab/c 1 ab/c 3 + 1 ab/c 5 =

1/2 + 0,3

1 ab/c 2 + 0 . 3 =

Kesir olarak 1,5

1 . 5 = ab/c 1 . 5 = SHIFT ab/c

ab/c 1 ab/c 3 = SHIFT ab/c

Yüzde hesaplamaları

25 x 4 = SHIFT RCL ALFA M+

ALFA M+ x 10 SHIFT = +

1」8」15,

0.8

1」1」2,

3」2,

0,25

4」3,

20,

1,050,

950,

4,

140,

110,

2 ..., 20 ..., + 0 ..., 45 ..., =

3^5^0,

20' × 1,5

0 ,,, 20 ,,, x 1.5 =

0^30^0,

12,567 = SHIFT 0 x 3 =

12,57 37,71

(12, 13, 21, 23, 31, 32)

3 nPr 2 =

6,

MODE MODE 1 SHIFT EXP SHIFT Ans 2 =

MODE MODE 3 90 SHIFT Ans 1 =

(X=0.866025403, Y=0,5)

1 = ENG ENG ENG SHIFT ENG

1,00

1.000,03

1.000,000,06

1.000,03

SHIFT	1	1
SHIFT	1	2
SHIFT	1	3
SHIFT	2	1

Karelerin toplamı

Değerlerin toplamı

Değerlerin sayısı

Aritmetik ortalama

_n _n - 1

Toplam sapma

Test sapması

Örnek:

n, x , x^2 , , _n , _n-1 su değerler için: 10, 15, 15, 12, 11, 11, 11, 11, 11

SHIFT MODE 1 MODE 2 10 M+ 15 M+ M+ 2 x de 12 M+ 11 SHIFT , 5 M+

Belleği sil

SD modunu aç

Değer 10, sıklık 1

Değer 12, sıklık 1

Değer 11, sıklık 5

SHIFT 1 2 = SHIFT 1 2 = SHIFT 1 3 = SHIFT 2 1 = SHIFT 2 2 = SHIFT 2 3 =

SHIFT MODE 3 = MODE 3 1

SHIFT	MODE	3	=
MODE	3	▶	3

A	÷
B	(
C	(
D	-
E	÷
F	(
G	+

Giriş alanları

10 x 5 SHIFT RCL M+ 25 M+ 200 ÷ 5 SHIFT M+ RCL M+

1 . 5 = ab/c 1 . 5 = SHIFT ab/c

25 x 4 = SHIFT RCL ALFA M+ ALFA M+ x 10 SHIFT = +

110,

(12, 13, 21, 23, 31, 32)

3 nPr 2 =

6,

MODE MODE 1 SHIFT EXP SHIFT Ans 2 =

MODE MODE 3 90 SHIFT Ans 1 =

1 = ENG ENG ENG SHIFT ENG

1,00

1.000,03

1.000,000,06

1.000,03

n, Σx, Σx², , σₙ, σₙ₋₁ за стойностите: 10, 15, 15, 12, 11, 11, 11, 11, 11

SHIFT PEEKIM 3 = MODE 3 1

SHIFT	MODE	3	=
MODE	3	▶	3

SHIFT	2			1
SHIFT	2			2
SHIFT	2			3

A	÷
A	(
A	(
A	-
A	÷
A	(
G	+

Полета за въвеждане

10 x 5 SHIFT RCL M+ 25 M+ 200 ÷ 5 SHIFT M+ RCL M+

1 ab/c 1 ab/c 3 + 1 ab/c 5 =

1」8」15,

1/2 + 0.3

1 ab/c 2 + 0 . 3 =

0.8

1,5 ca fractie

1 . 5 = ab/c 1 . 5 = SHIFT ab/c

1」1」2, 3」2,

ab/c 1 ab/c 3 = SHIFT ab/c

4」3,

Calcul procentaj

25 x 4 = SHIFT RCL ALFA M+

ALFA M+ x 10 SHIFT = +

110,

Calcule cu grade (ore), minute, secunde

(12, 13, 21, 23, 31, 32)

3 nPr 2 =

6,

Conversia valorii de unghi

MODE MODE 1 SHIFT EXP SHIFT Ans 2 =

MODE MODE 3 90 SHIFT Ans 1 =

1 = ENG ENG ENG SHIFT ENG

1,00

1.000,03

1.000,000,06

1.000,03

Calcule statistice

Introducere = SHIFT MODE Introducere M+

n, x , x^2 , , _n , _n-1 pentru valorile: 10, 15, 15, 12, 11, 11, 11, 11, 11, 11

SHIFT	1	2	=	Σx2 suma pătratelor	1.299,
SHIFT	1	2	=	Σx suma valorilor	107,
SHIFT	1	3	=	n numărul de valori	9,
SHIFT	2	1	=	media aritmetică	11,88888889
SHIFT	2	2	=	σ_n abatere totală	1,728483243
SHIFT	2	3	=	σ_n-1 abatere de eşantion	1,833333333

SHIFT MODE 3 = MODE 3 1

SHIFT	MODE	3	=
MODE	3	▶	3

SHIFT	2			1
SHIFT	2			2
SHIFT	2			3

Coeficient de regresie A Coeficient de regresie B Coeficient de regresie C

-11,37086377

6,332638377

-0,095418311

Valori estimate:

80	SHIFT	2				1
80	SHIFT	2				2
20	SHIFT	2				3

A	÷
A	(
A	(
A	-
A	÷
A	(
G	+

Domenii de introducere

Cifre interne: 12

1 ab/c 1 ab/c 3 + 1 ab/c 5 =

1/2 + 0.3

1 ab/c 2 + 0 . 3 =

1,5 ως κλάσμα

1 . 5 = ab/c

1.5 = SHIFT ab/c

ab/c 1 ab/c 3 = SHIFT ab/c

1」8」15,

0.8

1」1」2,

3」2,

0,25

4」3,

25 x 4 = SHIFT RCL ALFA M+

In 25 = 3,218875825

$$ \log 25 = 1,397940009 $$

Βάση το ε

24,5325302

Βάση το 10

25,11886432

Δυνάμεις

Τετράγωνο του 6:

36,

Κύβος του 7:

343,

4η δύναμη του 5:

1.024,

Pížes

1 = ENG ENG ENG SHIFT ENG

1,00

1.000,03

1.000,000,06

1.000,03

SHIFT	1	2	=
SHIFT	1	2	=
SHIFT	1	3	=
SHIFT	2	1	=
SHIFT	2	2	=
SHIFT	2	3	=

SHIFT MODE 3 = MODE 3 1

SHIFT MODE 3 = MODE 3 ▶ 3

παλινδρόμηση

Παράδειγμα: (-3) 2 = 9, -32 = -9

Συσσωρευτές

A	÷
B	(
C	(
D	-
E	÷
F	(
G	+

Εμβέλειες εισαγωγής

Εσωτερικά ψηφία: 12

1 ab/c 1 ab/c 3 + 1 ab/c 5 =

1/2 + 0,3

1 ab/c 2 + 0 . 3 =

1,5 как дробь

1 . 5 = ab/c

1.5 = SHIFT ab/c

ab/c 1 ab/c 3 = SHIFT ab/c

1」8」15,

0.8

1」1」2,

3」2,

0,25

4」3,

25 x 4 = SHIFT RCL ALFA M+

ALFA M+ x 10 SHIFT = +

110,

2 ..., 20 ..., + 0 ..., 45 ..., =

3^5^0,

20' × 1,5

0 ,,,, 20 ,,,, x 1.5 =

0^30^0,

2 .,,, 45 .,,, = SHIFT .,,,

2,75

Округление

12,567 = SHIFT 0 x 3 =

12,57 37,71

(12, 13, 21, 23, 31, 32)

3 nPr 2 =

6,

MODE MODE 1 SHIFT EXP SHIFT Ans 2 =

MODE MODE 3 90 SHIFT Ans 1 =

1 = ENG ENG ENG SHIFT ENG

1,00

1.000,03

1.000,000,06

1.000,03

SHIFT	1	2	=
значения			1.299,
SHIFT	1	2	=
SHIFT	1	3	=
SHIFT	2	1	=
SHIFT	2	2	=
SHIFT	2	3	=

SHIFT MODE 3 = MODE 3 1

SHIFT	MODE	3	=
MODE	3	▶	3

A	÷
B	(
C	(
D	-
E	÷
F	(
G	+

Поля ввода данных

1 1/3 + 1/5 1 ab/c 1 ab/c 3 + 1 ab/c 5 =

1/2 + 0,3 1 ab/c 2 + 0 . 3 =

1,5 murruna

1 . 5 = ab/c 1 . 5 = SHIFT ab/c

1/4 kümnendväärtus

1 1/3 liigmurruna 1

Protsendiarvutus

25 x 4 = SHIFT RCL ALFA M+

Arvutused Gradiga (tunnid), minutite, sekunditega

sin π/6 rad (π/6 Rad = 30°)

MODE MODE 3 sin ( SHIFT EXP ÷ 6 )

(12, 13, 21, 23, 31, 32)

3 nPr 2 =

6,

Nurgaargumendi teisendamine

MODE MODE 1 SHIFT EXP SHIFT Ans 2 =

MODE MODE 3 90 SHIFT Ans 1 =

(X=0.866025403, Y=0,5)

MODE | MODE | 1 (kui ei ole seadistatud režiimile Deg) SHIFT | pol(1, 30) X ALFA | tan Y

0,866025403 0,866025403

1 = ENG ENG ENG 1.000,000, SHIFT ENG

1,00

1.000,03

06

1.000,03

Statistikaarvutused

Sisestus = SHIFT MODE Sisestus M+

Väärtust muudetakse

SHIFT	2	1
SHIFT	2	2
SHIFT	2	3

SHIFT	1	2	=
SHIFT	1	2	=
SHIFT	1	3	=
SHIFT	2	1	=
SHIFT	2	2	=
SHIFT	2	3	=

Σx2 Ruutude summa

Σx Väärtuste summa

n Väärtuste arv

x Aritmeetiline keskmine

_n Koguviga

_n-1 Esindusviga 1,833333333

1.299,

107,

9,

11,88888889

1,728483243

SHIFT MODE 3 = MODE 3 1

SHIFT	MODE	3	=
MODE	3	▶	3

A	÷
B	(
C	(
D	-
E	÷
F	(
G	+

Sisestusvahemikud

Sisemised kohad: 12

1 ab/c 1 ab/c 3 + 1 ab/c 5 =

1/2 + 0,3

1 ab/c 2 + 0 . 3 =

1,5 kā dałskaitlis

1 . 5 = ab/c

1.5 = SHIFT ab/c

ab/c 1 ab/c 3 = SHIFT ab/c

Procentu aprēkini

Procentu funkciju izsauc ar taustiņu kombināciju SHIFT = .

Piemēri:

10 % no 200

200 x 10 SHIFT =

1000 + 5%

1000 x 5 SHIFT = +

1000 - 5%

1000 x 5 SHIFT = -

25 x 4 = SHIFT RCL ALFA M+

ALFA M+ x 10 SHIFT = +

1」8」15,

0.8

1」1」2,

3」2,

0,25

4」3,

20,

1,050,

950,

4,

140,

110,

(12, 13, 21, 23, 31, 32)

3 nPr 2 =

6,

MODE MODE 1 SHIFT EXP SHIFT Ans 2 =

MODE MODE 3 90 SHIFT Ans 1 =

1 = ENG ENG ENG 1.000,000, SHIFT ENG

1,00

1.000,03

06

1.000,03

SHIFT MODE 3 = MODE 3 1

SHIFT MODE 3 = MODE 3 ▶ 3

A	÷
B	(
C	(
D	-
E	÷
F	(
G	+

levades apgabali

lekšējās zīmes: 12

REŽIMAS REŽIMAS
cos 60 = 

(jei nenustatyta i Deg)
tan 50 laipsniu 50 laipsniu = 45°)

(12, 13, 21, 23, 31, 32)

3 2 =

6

Abstract black geometric shape on white background (no text or symbols)

Reikšmių skaičius

Aritmetinis vidurkis

Bendras nuokrypis

Imties nuokrypis

Pavyzdys :

n,Σ x,Σ x(2), ̄x, σₙ, σₙ₋₁ reikšmėms: 10, 15, 15, 12, 11, 11, 11, 11, 11, 11, 11, 11.

Išvalyti atminti

= Σx2 = = = = = =

Σx2 Kvadratų suma

1.299

Σx Verčių suma

n Vertybių skaičius

x Aritmetinis vidurkis

_n Bendras nuokrypis

Black background with six white right-pointing triangles arranged in two rows (no text or symbols)

x |vertinimas

y |vertis

Abstract black-and-white geometric pattern with white triangular shapes arranged in a grid (no text or symbols)

Regresijos koeficientas C vietoj r

Pavyzdys

Pure black rectangle with a white play button and equals sign in the top-right corner (no text or symbols beyond basic graphical elements)

Black background with six white right-pointing triangles arranged in two rows (no text or symbols)

A	÷
B	(
C	(
D	-
E	÷
F	(
G	+

lvesties sritys

1 . 5 = ab/c 1 . 5 = SHIFT ab/c

Decimalna vrijednost od 1/4

25 x 4 = SHIFT RCL ALFA M+ ALFA M+ x 10 SHIFT = + 110,

Izračuni s gradijanima (satima), minutama, sekundama

12,567 = SHIFT 0 x 3 = 37,71

Trigonometrijske funkcije

sin π/6 rad (π/6 Rad = 30°)

MODE MODE 3 (ako nije postavljeno na radijane)

sin (SHIFT EXP ÷ 6) 0,5

cos 60°

log 25 = 1,397940009

Baza e

Baza 10

Potencije

Kvadrat od 6:

Kub od 7:

1. potencija od 5:

Korijeni

(12, 13, 21, 23, 31, 32)

3 nPr 2 = 6.

Pretvorba kutnog argumenta

90 SHIFT Ans 1 = 100,

Pretvorba koordinata

Rezultati izračuna pohranjuju se u varijable E (redoslijed tipki ALFA cos) i F (redoslijed tipki ALFA Tan).

Pretvori polarne koordinate (r=1, =30^ ) u pravokutne koordinate (X=0.866025403, Y=0,5)

MODE | MODE | 1 (ako nije postavljeno na stupnjeve) SHIFT | pol(1,30) X 0,866025403 ALFA | tan Y 0,866025403

A	÷
B	(
C	(
D	-
E	÷
F	(
G	+

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