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Scientific Calculations; Statistical Calculations - Sharp EL-W535TG Operation Manual

Scientific calculator
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Editing the Equation
1
Just after obtaining an answer, pressing l brings you to the
end of the equation and pressing r brings you to the beginning.
Press l, r, u, or d to move the cursor. Press @
l or @ r to jump the cursor to the beginning or the end
of the equation.
Back space and delete key
To delete a number or function, move the cursor to the right of it,
then press N. You can also delete a number or function that the
cursor is directly over by pressing @ y.
Note: In a multi-level menu, you can press N to back to the
previous menu level.
Multi-line Playback Function
This calculator is equipped with a function to recall previous
2
equations and answers in NORMAL mode. Pressing u will
display the previous equation. The number of characters that can be
saved is limited. When the memory is full, stored equations will be
deleted to make room, starting with the oldest.
• To edit an equation after recalling it, press l or r.
• The multi-line memory will be cleared by the following operations:
@ Z , mode change, RESET, N-base conversion, angular
unit conversion, editor change (J 2 0 0 ,J 2
0 1 or J 2 1), and memory clear (@ P
1 0).
Priority Levels in Calculation
This calculator performs operations according to the following priority:
Fractions (1m4, etc.)
Functions preceded by their argument
1
2
y
x , x r
x
x
(
1
,
2
, n!, etc.)
Implied multiplication of a memory
3
4
value (2Y, etc.)
Functions followed by their argument (sin, cos,
5
etc.)
Implied multiplication of a function (2sin 30
6
×
÷
nCr, nPr, GCD, LCM
,
, int
7
8
=
+
M, ►DEG, ►RAD, ►GRAD,
XNOR
, M
, M
,
12
and other calculation ending instructions
• If parentheses are used, parenthesized calculations have
precedence over any other calculations.

SCIENTIFIC CALCULATIONS

• Press b 0 to select NORMAL mode.
Arithmetic Operations
• The closing parenthesis ) just before = or m may be
3
omitted.
Constant Calculations
• In constant calculations, the addend becomes a constant.
Subtraction and division are performed in the same manner. For
multiplication, the multiplicand becomes a constant.
• In constant calculations, constants will be displayed as K.
Conversion to Engineering notation
You can use ; < or ; > to convert the calculation
result to engineering notation.
• Press ; < to decrease the exponent. Press ; > to
increase the exponent.
• The settings (FSE) in the SET UP menu do not change.
Functions
• Refer to the calculation examples for each function.
• In the Line editor, the following symbols are used:
4
: to indicate an expression's power. (m, @ ", @ Y)
: to separate integers, numerators, and denominators. (W,
@ k)
• When using @ O or @ W in the Line editor, values
are entered in the following way:
• logn (base, value)
• abs value
Random Function
The random function has four settings. (This function cannot be
selected while using the N-base function.) To generate further
random numbers in succession, press e. Press j to exit.
Random numbers
A pseudo-random number, with three significant digits from 0 up to
0.999, can be generated by pressing @ w 0 e.
Note: In the WriteView editor, the result will be a fraction or 0.
Random dice
To simulate a die-rolling, a random integer between 1 and 6 can be
generated by pressing @ w 1 e.
Random coin
To simulate a coin flip, 0 (heads) or 1 (tails) can be randomly
generated by pressing @ w 2 e.
1
p
12
Random integer
50
You can specify a range for the random integer with "R.Int(" only.
3
R.Int(minimum value, maximum value)
For example, if you enter @ w 3 1 H 99 ) e, a
random integer from 1 to 99 will be generated.
Angular Unit Conversions
Each time @ ] is pressed, the angular unit changes in sequence.
Memory Calculations
Memory calculations can be performed in NORMAL and STAT modes.
Temporary memories (A–F, X and Y)
Press x and a variable key to store a value in memory.
Press t and a variable key to recall the value from that memory.
To place a variable in an equation, press ; and a variable key.
Independent memory (M)
In addition to all the features of temporary memories, a value can
be added to or subtracted from an existing memory value.
Press j x 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.
Notes:
• Calculation results from the functions indicated below are
automatically stored in the X or Y memories replacing any existing
values.
• Two
• Use of t or ; will recall the value stored in memory
using up to 14 digits.
Definable memories (D1–D3)
5
You can store functions or operations in definable memories
(D1–D3).
• To store a function or operation, press x, followed by a definable
memory key (I, J, or K), followed by the operation you
want to store. Menu-related operations, such as J, cannot be
stored. Press j to return to the previous display.
• To call a stored function or operation, press the corresponding
memory key. Calling a stored function will do nothing if the
function that is called would be unusable in the current context.
• Any functions or operations that are stored in a definable memory
will be replaced when you save a new one into that memory.
• You cannot store functions or operations in definable memories
when entering values or items in STAT mode.
Memory List
Press ; 9 to display a list of the values saved in memory.
The values are shown in a 9-character range.
Applicable memories: A, B, C, D, E, F, X, Y, M
1
,
A
, etc.)
4
÷
+
,
AND
OR, XOR,
Chain Calculations
9
10
11
xy
r
q
,
,
The previous calculation result can be used in the subsequent
calculation. However, it cannot be recalled after entering multiple
instructions.
Fraction Calculations
Arithmetic operations and memory calculations can be performed
using fractions. In NORMAL mode, conversion between a decimal
number and a fraction can be performed by pressing U.
6
Notes:
• Improper/proper fractions will be converted to and displayed as
decimal numbers if the number of digits used in their expression
is greater than nine. In the case of mixed fractions, the maximum
7
number of displayable digits (including integers) is eight.
• To convert a sexagesimal value to a fraction, first convert it by
pressing @ :.
Binary, Pental, Octal, Decimal, and Hexadecimal
Operations (N-base)
8
Conversions can be performed between N-base numbers in
NORMAL mode. 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.
Note: The hexadecimal numbers A–F are entered by pressing
9
In the binary, pental, octal, and hexadecimal systems, fractional
parts cannot be entered. When a decimal number having
a fractional part is converted into a binary, pental, octal, or
hexadecimal number, the fractional part will be truncated.
Likewise, when the result of a binary, pental, octal, or hexadecimal
calculation includes a fractional part, the fractional part will be
truncated. In the binary, pental, octal, and hexadecimal systems,
negative numbers are displayed as a complement.
Time, Decimal, and Sexagesimal Calculations
Conversion between decimal and sexagesimal numbers can be
performed. In addition, the four basic arithmetic operations and
memory calculations can be performed using the sexagesimal
system. Notation for sexagesimal is as follows:
Coordinate Conversions
• Before performing a calculation, select the angular unit.
• The results of coordinate conversions will be displayed as
decimal numbers even in the WriteView editor.
Modify Function
Decimal calculation results are internally obtained in scientific
notation, with up to 14 digits in the mantissa. However, since
calculation results are displayed in the form designated by the
10
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 (@ n), the internal value is
11
converted to match that of the display, so that the displayed value
can be used without change in subsequent operations.
• When using the WriteView editor, if the calculation result is
displayed using fractions or irrational numbers, press U to
convert it to decimal form first.
xy
r
r
x
q
,
: X memory (
or
), Y memory (
x
´ values from a quadratic regression calculation in
STAT mode: X memory (1:), Y memory (2:)
A
B
C
D
E
, *
, A
, l
, i
, and H
m
Degree
Minute
Rectangular coord.
Polar coord.
2/6
Calculating the Greatest Common Divisor (GCD)
What is the GCD of
24 and 36?
Calculating the Least Common Multiple (LCM)
y
q
or
)
What is the LCM of
15 and 9?
Calculating Quotient and Remainder
• "Q" indicates "Quotient", and "R" indicates "Remainder".
• Pressing @ 6 cannot be followed by pressing a key for
another operation such as (+, –, ×, ÷), otherwise an error will
result.
• The quotient and remainder are shown in "NORM1" format.
If not all digits can be displayed in "NORM1" format, normal
division is performed.
Prime Factorization
In NORMAL mode, the calculation result can be shown as a
product of prime numbers.
• A positive integer greater than 2 and no more than 10 digits can
be factored into primes.
• A number that cannot be factored into a prime number with 3
digits or shorter is shown in parentheses.
• The calculation result of prime factorization is displayed
according to the editor setting (W-VIEW or LINE).
• The calculation result of prime factorization may extend off the
12
edges of the screen. You can see those parts by pressing l
or r. To jump to the left end or right end, press @ l
or @ r.

STATISTICAL CALCULATIONS

13
Statistical calculations can be performed in STAT mode.
There are eight sub-modes within STAT mode. Press b 1,
then press the number key that corresponds to your choice:
0 (SD): Single-variable statistics
1 (a+bx): Linear regression
2 (a+bx+cx
3 (a•e^bx): Euler exponential regression
4 (a+b•lnx): Logarithmic regression
5 (a•x^b): Power regression
6 (a+b/x): Inverse regression
7 (a•b^x): General exponential regression
The statistical data input screen appears.
14
After entering statistical data from the input screen, press _
or j and close the input table. You can then check statistical
values from the STAT menu (; 8) and specify statistical
variables.
Data Entry and Correction
F
Data entry
.
Entry field
Single-variable data table
• After entering the data, press e. The input is finalized and
15
the cursor moves to the next line. If data was not entered in an
y
or
, 0 is entered, 1 is entered in FRQ (frequency), and the cursor
moves to the next line.
• You can use H to enter X and FRQ (or X, Y, and FRQ) at once.
• In the input table, up to 6 digits are displayed for each value,
including the sign and decimal point. Any values that exceed 6
digits in length are displayed in exponent notation.
Second
• Up to 100 data items can be entered. With single-variable data,
a data item with an assigned frequency of one is counted as
16
one data item, while an item with an assigned frequency of 2
or higher is stored as a set of two data items. With two-variable
data, a set of data items with an assigned frequency of one is
counted as two data items, while a set of items with an assigned
frequency of 2 or higher is stored as a set of three data items.
• To execute statistical calculation, press _ or j and close
the input table.
Data correction
Use l, r, u, or d to move the cursor and select
the desired data. Press @ u or @ d to jump the
cursor to the beginning or end of the data.
17
Data correction
Move the cursor to the data that you want to correct, enter the
numeric value, and press e.
Data insertion
To insert a line in front of the cursor position, press
The initial values entered in the inserted data are 0 in x and y,
and 1 in FRQ.
Data deletion
To delete the entire line where cursor is positioned, press @ y.
Notes:
• In STAT mode, all statistical data will be erased if the submode
is changed or @ Z is pressed.
• In STAT mode, press _ to display the input table.
j 24
@ = 36
=
12.
j 15
@ ? 9
=
45.
20 21
): Quadratic regression
2
Two-variable data table
; T
Statist
The follo
calculati
Single-
Statistic
Linear
Statistic
(estimat
Quadra
Statistic
regressi
calculati
When th
18
or "2:", a
You can a
Euler e
power r
and gen
Statistic
x
given
a
19
converts
calculati
b
and
, fr
n
x –
s
s
s
1
s
Σ
Σ
x
x
y
s
s
s
s
Σ
Σ
2
Σ
Σ
Σ
Σ
y
y
Q
M
3
Q
r
a
b
x
4
c
R
r
STAT M
After clo
regressi
STAT me
; 8
; 8
; 8
; 8
; 8
; 8
Notes:
• List di
regres
statist
• Estima
@ U
x
2' fro
separa
• In the
canno
.
Statist
An error
• The a
is equ
• The d
• An att
• No so

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