You can type algebra expressions, equations and values into
Algematics exactly as they appear in your text book or study notes. This topic
explains the easy formula language that makes this possible.

### **To
enter data (equations or inequalities or expressions) into Algematics:**

**1.** you start at the Algematics
main window, then

**2.** press the **F3**
key. (Or the toolbar
button.) to display the data entry dialog box:

You type your equations and expressions into
the lower edit box, while the upper edit box is for comments, headings or other
descriptive text.

These
are the rules for typing numbers, equations and expressions into the lower edit
box...

### Entering
Numbers

**Integers**

The range of integer values allowed is from -18446744073709551615 to
18446744073709551615

**Fractions**

To enter a fraction, type two numbers as a ratio, with a colon :
character between them. For
example, 3:4 for three quarters, 5:8 for five eighths. The numbers in the ratio cannot be outside of the
range for integers.

**Decimals**

When you enter decimal numbers, they are represented internally as ratios. If
converting the decimal to a ratio results in numbers outside of the integer
range, then an error will occur and you will not be able to enter the decimal
number. You can correct the error by using less decimal places.

### Entering
Expressions

**Variables**

All lower case: '*a*'
to '*z*'
and upper case '*A*'
to '*Z*'
letters are allowed as variables.

The question mark: '?'
can also be used as a variable.

**Greek
letters**

To make Greek letters, like p,
q,
f,
S,
D
etc., put a single quote character immediately before the letter. eg:

'p
gives p

'q gives
q

'f gives
f

'S gives
S

'D gives
D

**Brackets**

Only 'round' brackets: '('
and ')'
can be used as brackets in Algematics.

(Square brackets are used for powers as described below.)

**Powers**

Type the index of powers in square brackets, eg *x*[2]
means *x*²

**Roots
and Surds**

Any type of roots or surds may be entered by using the power notation described
above with a fraction for the index. For example, to enter the square root of x,
type: *x*[1:2]
Roots can be displayed as either a power or with a root sign.

**Rational
Expressions**

To enter rational expressions, you must be very careful to make sure that the
denominator is constructed properly.

For example, to enter the rational expression:

you
could type:

(*abc*)/(*def
*),

abc/(*def
*), or

abc/*d*/*e*/*f*.

All
of these expressions mean that the factors '*a*',
'*b*'
and '*c*'
are divided by all of the others: '*d*',
'*e*',
and '*f*'.
You will usually use the first method:

(*abc*)/(*def*)

Often
Algematics will create expressions that look like the third:

*abc/d/e/f*

This
expression:

*abc*/*def*

would
be wrong, because only '*d*'
is in the denominator. ( What it really means is: *abcef
*/*d
*)

### Entering
Equations
**
**

Enter
equations as two expressions with an =
symbol between them. Only one =
symbol is allowed per equation.

eg:
*a
+ b + c = d + e + f
*

### Entering Inequalities
**
**

Inequalities
are entered in the same way as equations, but special symbols are used instead
of the equal sign:

'
> ' for 'greater than'

' < ' for 'less than'

' >= ' for 'greater than or equal to'
(Enter a ' >
' character, then an ' =
' character.)

' <= ' for 'less than or equal to' (Enter
a ' <
' character, then an ' =
' character.)

'<> ' for 'not equal to' (Enter
a ' <
' character, then a ' >
' character.)

'
>=
' , ' <=
' and ' <>
' ,will display properly on the screen as 'greater than
or equal to' , 'less than or equal
to' , and 'not equal to' symbols respectively.

### Shortcut
Buttons**
**

These
short cut buttons in the
data entry dialog box simplify entry of
complicated expressions with powers, roots, brackets and quotients.

For
example, to make a rational expression in the 'maths box', use the
button...

**If
there is no text selected** in the 'maths
box', then click
to insert: '( )/( )' at the cursor position. Now you
can type the numerator and denominator in the brackets.

**If
there is text selected**, then
click
to make the selected text the numerator and you can now type in the denominator.

**For
example**,
you want to divide: 2*x*[2]
+ 3*x* + 4
by 3*x*
+ 2

To
do this, select
2*x*[2] + 3*x*
+ 4 in the 'maths box', then click
.

You
will now have:
(2*x*[2]
+ 3*x* + 4)/(
)

Now
simply type the denominator in the right hand brackets:
(2*x*[2]
+ 3*x* + 4)/(3*x*
+ 2)