Difference between revisions of "LibreOffice-Suite-Math-6.3/C2/Sets,-Factorials-and-Cross-Referencing/English"

Learning Objectives

• Write Set operations
• Write Factorials
• Cross reference the formulae using numbers.

System Requirements

• Ubuntu Linux OS version 18.04 and
• LibreOffice Suite version 6.3.5

Prerequisites

https:\\spoken-tutorial.org

If not please access the relevant tutorials on this website.

Code Files

• The files used in the tutorial are provided in the Code files link.
• Please download and extract the files
• Make a copy and use them for practising

Click Insert >> Object >> Formula.

Let us now call the Math application.

Sets

Set is a collection of distinct elements.

The elements of a set are enclosed within brackets.

Math has a separate markup to represent sets.

I will copy-paste the example sets and fractorials from it.

This file is provided in the Code Files for the learners to use.

A ~=~ lbrace 1, 2, 3, 4, 5 rbrace newline

B ~=~ lbrace 1, 2 ,3, 6 rbrace newline

C ~=~ lbrace 4, 5 rbrace newline

D ~=~ lbrace 6, 7 rbrace newline newline

Set A has 5 elements.

Set B has 4 elements.

Set C and Set D have 2 elements each.

Point to the sets.

Now we will write markup for set operations.

C subset A newline newline

Every element in set C is available in set A.

The markup to write subset is, C subset A.

Union

"Example of Union of sets" newline

B union C ~=~ lbrace 1, 2, 3, 4, 5, 6 rbrace newline newline

The mark up for B union C is the same as we read it.

The resulting set has the elements 1, 2, 3, 4, 5 and 6.

The union set includes all the distinct elements in both the sets.

“Example of Intersection of sets:” newline

B intersection D ~=~ lbrace 6 rbrace newline newline

The markup for an intersection operation is same as we read it.

The intersection includes only the common elements from both the sets.

So the result of B intersection D is 6.

Click Save icon in the Standard toolbar.

Let us save our work now.

Assignment

Using the example Sets,

• Check if A union ( B union C) is equal to (A union B) union C.
• Subtract set B from set A and write the result.

“Factorials: ” and press Enter key.

Click outside the Writer gray box and press Ctrl and Enter keys.

Now let us type Factorials: and press Enter.

There is another way to call the Math object into the Writer window.

Point mouse over E = mc squared in Writer gray box.

We see a new Math object that says E is equal to m c squared.

We can use this number to cross reference a formula within this document.

Cross Referencing

It allows us to navigate to a specific text or object within a document.

We can do this by designating numbers to the formulae that we write.

Click Format menu >> Font size.

Increase size to 18 pt.

For now, double click on the Math object to open the interface.

Let us change the Font size to 18 point.

In FEW, point mouse over ‘fact’ word in the last line

Press Ctrl + A to select all the text.

Copy and paste:

fact 5 = 5 times 4 times 3 times 2 times 1 = 120

Point to the preview window.

The markup ‘fact’ represents the factorial symbol.

Press Ctrl and A keys to select the existing text.

Type fact 5 = 5 times 4 times 3 times 2 times 1 = 120.

Five factorial is seen in the preview window.

Type ‘fn’ and press F3 key on the keyboard.

For this, click outside this Writer gray box.

Type ‘fn’ and press F3 key to show the second Math object.

Increase size to 18 pt.

formula.

Press Ctrl + A to select all the text, >> copy and paste:

fact n ~=~ prod from k = 1 to n k newline

In FEW, point mouse over ‘prod’ word in the last line

n factorial is equal to product from k = 1 to n of k.

Notice the markup prod which denotes product.

From k= 1 to n gives the n factorial.

Type ‘fn’ and press F3.

Click Format menu >> Font size.

Increase size to 18 pt.

Change the font size to 18 point.

Press Ctrl + A to select all the text >> copy and paste:

fact n ~=~ left lbrace binom{1 ~ "if n = 0"}{fact(n-1) `times` n ~ " if n > 0 "} right rbrace newline newline

In FEW, point mouse over ‘binom’ word in the last line

The factorial definition has two conditional formulae as shown on the screen.

Here the markup binom, helps to displays a vertical stack of two elements.

This helps in better alignment.

For this, let us go to a new page.

Click Insert menu >> Cross reference.

Let us click on the Insert menu, and then on Cross-reference.

In the Fields window, click on Text , in the Type list

Click on first item in the Selection list.

In the Type list, select Text option.

In the Selection list choose the first item.

This denotes the first factorial formula we wrote.

Click on Insert and click on Close button.

Click the Insert button at the bottom.

Then click the Close button to close the window.

Click on (1).

Point mouse over the formula numbered 1.

To test, click on the number.

Notice that the cursor has jumped to the location of the first formula.

This is how we cross reference Math formulae within a Writer document.

Let us summarize.

Summary

• Write Set operations
• Write Factorials and
• Cross reference the formulae using numbers.

Assignment

(n+2)!/n!

6!/(2!x4!)

Open Math-assignment.odt file.

Write the markup for the following factorials.

Assignment

In the Writer document, cross reference the second and third factorial formulae.

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Acknowledgement

Thank You

Acknowledgement to DesiCrew

This is Madhuri Ganapathi along with the Spoken Tutorial team from IIT Bombay.

Thank you for watching.