Difference between revisions of "LibreOffice-Suite-Math-6.3/C2/Greek-characters-and-Quadratic-equations/English"

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Title: Greek characters and Quadratic Equations.
 
Title: Greek characters and Quadratic Equations.
  
−
Keywords:  Libreoffice math,  libreoffice writer, greek characters, percentage sign,  markup, font size, alignment, quadratic equation, video tutorial.
+
Keywords:  Libreoffice math,  libreoffice writer, greek characters, percentage sign,  markup, font size, alignment, quadratic equation, spoken tutorial, video tutorial.
  
 
{| border=1
 
{| border=1
Line 8: Line 8:
 
|-  
 
|-  
 
|| '''Slide''':Title
 
|| '''Slide''':Title
−
|| Welcome to the '''Spoken tutorial''' on '''Greek Characters and Quadratic Equations'''.
+
||Welcome to the '''Spoken tutorial''' on '''Greek Characters and Quadratic Equations'''.
 
|-  
 
|-  
 
|| '''Slide''':
 
|| '''Slide''':
Line 15: Line 15:
 
|| In this tutorial, we will learn to:
 
|| In this tutorial, we will learn to:
  
−
* Insert '''Greek '''characters.  
+
* Insert '''Greek ''' characters.  
−
* Write steps''' '''to solve a quadratic equation.
+
* Write steps to solve a '''quadratic equation'''.
−
 
+
  
 
|-  
 
|-  
Line 28: Line 27:
  
 
* '''Ubuntu Linux OS''' version 18.04 and  
 
* '''Ubuntu Linux OS''' version 18.04 and  
−
* '''LibreOffice Suite''' version 6.3.5
+
* '''LibreOffice Suite''' version 6.3.5.
−
 
+
  
 
|-  
 
|-  
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If not please access the relevant tutorials on this website.
 
If not please access the relevant tutorials on this website.
−
 
  
 
|-  
 
|-  
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'''Code Files'''
 
'''Code Files'''
 
||  
 
||  
−
* The files used in this tutorial are provided in the ''' Code files''' link.
+
* The files used in this tutorial are provided in the '''Code files''' link.
 
* Please download and extract the files.
 
* Please download and extract the files.
 
* Make a copy and use them for practising.
 
* Make a copy and use them for practising.
−
 
  
 
|-  
 
|-  
Line 57: Line 53:
 
|| Let us first open the '''MathExample1.odt file'''.
 
|| Let us first open the '''MathExample1.odt file'''.
 
|-  
 
|-  
−
|| Double click on the '''Gray''' box.  
+
|| Double click on the gray box.  
  
  
 
'''Math Formula Editor ''' and the '''Elements''' window opens up.
 
'''Math Formula Editor ''' and the '''Elements''' window opens up.
−
|| Double click the '''Gray '''box in the Writer window.
+
|| Double-click the gray box in the '''Writer''' window.
  
  
Line 74: Line 70:
  
  
−
Click and show the '''Element Categories''' drop down.
+
Click and show the '''Element Categories''' drop-down.
  
  
−
In the Formula Editor Window (FEW in short) type: '''%pi newline'''
+
In the '''Formula editor''' window (FEW in short) type: '''%pi newline'''
−
|| We don’t find these '''characters ''' in the '''Elements ''' window.
+
|| We don’t find these '''characters ''' in the '''Elements''' window.
  
  
Line 84: Line 80:
  
  
−
For example, to write '''pi''', we type '''%pi''' in the '''Formula Editor'''.
+
For example, to write '''pi''', we type '''%pi''' in the '''Formula editor'''.
  
  
 
|-  
 
|-  
−
|| In FEW, press Enter, type '''%alpha newline `%beta newline'''
+
|| In '''FEW''', press '''Enter''', type '''%alpha newline `%beta newline'''
 
|| To write '''lowercase characters''', type the name of the characters in '''lowercase'''.
 
|| To write '''lowercase characters''', type the name of the characters in '''lowercase'''.
  
  
−
To write alpha in lower case, type '''%alpha''' and to write '''beta''' type '''%beta'''.
+
To write '''alpha''' in lowercase, type '''%alpha''' and to write '''beta''' type '''%beta'''.
 
|-  
 
|-  
 
|| In FEW, press '''Enter''', type '''%GAMMA '''.
 
|| In FEW, press '''Enter''', type '''%GAMMA '''.
Line 100: Line 96:
  
  
−
To write '''gamma''' in upper case, type '''%GAMMA''' and to write '''theta '''type '''%THETA'''.
+
To write '''gamma''' in uppercase, type '''%GAMMA''' and to write ''' theta ''' type '''%THETA'''.
 
|-  
 
|-  
 
|| Click on '''Tools''' menu on top, click '''Symbols'''.
 
|| Click on '''Tools''' menu on top, click '''Symbols'''.
Line 113: Line 109:
  
  
−
|| '''Symbols''' dialog box, appears.
+
|| '''Symbols''' dialog box appears.
  
  
−
Under the '''Symbol ''' set, select '''Greek ''' if not already selected.
+
Under the '''Symbol set''', select '''Greek ''' if not already selected.
 
|-  
 
|-  
 
|| Click on the '''Greek ''' letter alpha from the list.
 
|| Click on the '''Greek ''' letter alpha from the list.
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−
Click on the '''Greek ''' letter from the box.
+
|| Now click the ''' Insert''' button in the '''Symbols''' dialog box to insert the symbol.
 +
|-
 +
||Click on the '''Greek ''' letter from the box.
  
  
 
Click on the '''Insert ''' button in the '''Symbols''' dialog box to insert the symbol.
 
Click on the '''Insert ''' button in the '''Symbols''' dialog box to insert the symbol.
−
|| Now click the ''' Insert''' button in the '''Symbols''' dialog box to insert the symbol.
+
||Similarly, insert other '''Greek''' letters given in the box.
−
 
+
−
 
+
−
 
+
−
Similarly insert other '''Greek''' letters given in the box.
+
  
 
|-  
 
|-  
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|-  
 
|-  
 
|| Point towards '''symbols '''icon
 
|| Point towards '''symbols '''icon
−
|| We can also insert '''Greek ''' letters using the '''Symbols ''' icon on the '''Standard ''' toolbar.
+
 
 +
Close the '''Symbols ''' dialog box, by clicking on the '''Close ''' button.
 +
|| We can also insert '''Greek ''' letters using the '''Symbols ''' icon on the '''Standard toolbar'''.
 
|-  
 
|-  
 
|| Click '''Save ''' on the '''standard toolbar'''.
 
|| Click '''Save ''' on the '''standard toolbar'''.
Line 162: Line 158:
 
|| Pause the video and do this assignment.
 
|| Pause the video and do this assignment.
  
 +
* Open the '''Math-assignment.odt ''' file.
  
−
Open the '''Math-assignment.odt ''' file.
+
* Write the '''markup''' for this formula:
−
 
+
−
Write the '''markup''' for this formula:
+
  
 
'''pi is similar or equal to 3.1415'''.
 
'''pi is similar or equal to 3.1415'''.
  
−
 
+
* Using the '''Symbols ''' dialog box insert various ''' Greek ''' and special characters.
−
Using the '''Symbols ''' dialog box insert various ''' Greek ''' and special characters.
+
 
|-  
 
|-  
−
|| Click Anywhere in the '''Writer ''' area.
+
|| Click anywhere in the '''Writer ''' area.
  
  
 
Press '''Ctrl + Enter''' on the keyboard.
 
Press '''Ctrl + Enter''' on the keyboard.
−
|| Let us now write the steps to solve a '''quadratic ''' equation.
+
|| Let us now write the steps to solve a '''quadratic equation'''.
  
  
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Show the text editor with the equations.
 
Show the text editor with the equations.
 +
 +
Added the '''Quadratic-Equation.txt''' in '''Code Files''' for copying-pasting the equations.
 
|| Let us type: '''Solving a Quadratic Equation''':.
 
|| Let us type: '''Solving a Quadratic Equation''':.
  
  
−
Here is the quadratic equation that we will solve, '''2''' '''x squared - 7 x + 3 = 0'''.
+
Here is the '''quadratic equation''' that we will solve, '''2''' '''x squared - 7 x + 3 = 0'''.
  
  
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From the submenu select '''Formula''' option.
 
From the submenu select '''Formula''' option.
−
 
  
 
|-  
 
|-  
 
||Point to the equation.
 
||Point to the equation.
−
||Let’s write the markup for the '''quadratic ''' equation that we want to solve.
+
||Let’s write the '''markup''' for the '''quadratic equation''' that we want to solve.
 
|-  
 
|-  
 
|| Click on''' Format''' menu >> Select '''Font Size'''.
 
|| Click on''' Format''' menu >> Select '''Font Size'''.
Line 243: Line 238:
  
  
−
|| In the '''Format Editor''', type the markup as follows: 2 '''x squared minus 7 x plus 3 = 0'''.
+
|| In the '''Formula editor''', type the '''markup''' as follows: 2 '''x squared minus 7 x plus 3 = 0'''.
  
  
 
|-  
 
|-  
−
|| Press Enter and type:
+
|| Press '''Enter''' and type:
  
 
'''Quadratic Formula: newline'''
 
'''Quadratic Formula: newline'''
Line 257: Line 252:
 
|-  
 
|-  
 
||Only narration
 
||Only narration
−
|| It is a good practice to break down a complex formula into simple elements.
+
|| It is a good practice to break a complex formula into simple elements.
  
  
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'''sqrt{b^2 – 4ac} newline newline'''.
 
'''sqrt{b^2 – 4ac} newline newline'''.
−
|| First we will write the innermost square root function.
+
|| First we will write the innermost '''square root function'''.
  
  
−
The markup for that is '''square root of b squared - 4ac''' in '''curly brackets'''.
+
The '''markup''' for that is '''square root of b squared - 4ac''' in '''curly brackets'''.
 
|-  
 
|-  
 
|| Type''' { -b +-''' before the above equation and''' }''' at the end.
 
|| Type''' { -b +-''' before the above equation and''' }''' at the end.
Line 290: Line 285:
  
  
−
Finally add '''x equal to''' at the beginning of the line.
+
Finally, add '''x equal to''' at the beginning of the line.
 
|-  
 
|-  
 
|| Type ~ before and after = sign.
 
|| Type ~ before and after = sign.
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'''~ '''symbol next to '''‘x’'''.
 
'''~ '''symbol next to '''‘x’'''.
−
|| Add blank spaces''' '''surrounding the '''equal to''' sign.
+
|| Add blank spaces surrounding the '''equal to''' sign.
 
|-  
 
|-  
 
|| In FEW, type:
 
|| In FEW, type:
Line 311: Line 306:
  
 
Point to the '''back quotes'''.
 
Point to the '''back quotes'''.
−
|| Next let us type the rest of the text as follows in the '''Formula Editor'''.
+
|| Next let us type the rest of the text as follows in the '''Formula editor'''.
  
  
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'''‘b’ is the coefficient of the x term'''.
 
'''‘b’ is the coefficient of the x term'''.
  
−
'''‘c’ is a constant ''' followed by a newline.
+
'''‘c’ is a constant ''' followed by a '''newline'''.
  
  
−
Here I have added '''back quotes''' to create a small gap between the words for clarity.
+
I have added '''back quotes''' to create a small gap between the words for clarity.
 
|-  
 
|-  
−
|| '''We` can` solve` the equation` by` substituting` 2 `for `a,` -7` for` b,` 3` for` c newline newline'''.
+
|| '''We` can` solve` the '''equation'''` by` substituting` 2 `for `a,` -7` for` b,` 3` for` c newline newline'''.
 
|| Now type the following line.
 
|| Now type the following line.
  
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|-  
 
|-  
−
|| Press E'''nter '''twice and type
+
|| Press '''Enter '''twice and type
  
 
'''x~=~ {{ -(-7)+-sqrt{(-7)^2 - 4(2)(3)}}} over {2(2)} newline newline'''
 
'''x~=~ {{ -(-7)+-sqrt{(-7)^2 - 4(2)(3)}}} over {2(2)} newline newline'''
Line 341: Line 336:
  
  
−
Here we have substituted the numbers using '''parentheses ''' in the equation.
+
Here we have substituted the numbers using '''parentheses''' in the '''equation'''.
 
|-  
 
|-  
−
||POin to the '''quadratic''' equation.
+
||Point to the '''quadratic''' equation.
−
||Now let’s solve the '''quadratic''' equation to get the values of x.
+
||Now let’s solve the '''quadratic equation''' to get the values of x.
 
|-  
 
|-  
 
||
 
||
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|-  
 
|-  
 
||Narration only:
 
||Narration only:
−
|| With this we have come to the end of this tutorial.
+
|| With this, we come to the end of this tutorial.
  
  
Line 382: Line 377:
 
|| In this tutorial, we have learnt to:
 
|| In this tutorial, we have learnt to:
 
* Insert '''Greek '''characters.  
 
* Insert '''Greek '''characters.  
−
* Write steps''' '''to solve a '''quadratic''' equation.
+
* Write steps to solve a '''quadratic''' equation.
−
 
+
  
 
|-  
 
|-  
Line 393: Line 387:
  
 
Highlight the equation.
 
Highlight the equation.
−
|| Here is an '''assignment '''for you:
+
|| Here is an assignment for you:
−
 
+
  
 
Open '''Math-assignment.odt '''file.
 
Open '''Math-assignment.odt '''file.
−
* Write steps to solve this quadratic equation
+
* Write steps to solve this '''quadratic equation'''
 
* Format the steps by changing the alignment and spacing.
 
* Format the steps by changing the alignment and spacing.
−
* Add blank spaces and newlines''' '''as required.
+
* Add blank spaces and '''newlines''' as required.
−
 
+
  
 
|-  
 
|-  
Line 419: Line 411:
 
* We conduct workshops using '''spoken''' '''tutorials''' and give certificates
 
* We conduct workshops using '''spoken''' '''tutorials''' and give certificates
 
* For more details, please contact us.
 
* For more details, please contact us.
−
 
  
 
|-  
 
|-  
Line 437: Line 428:
  
 
'''Acknowledgement to DesiCrew'''
 
'''Acknowledgement to DesiCrew'''
−
|| This tutorial was originally contributed by DesiCrew Solutions Pvt. Ltd. in 2011
+
|| This tutorial was originally contributed by DesiCrew Solutions Pvt. Ltd. in 2011.
  
 
This is Madhuri Ganapathi along with the Spoken Tutorial team from '''IIT Bombay'''.
 
This is Madhuri Ganapathi along with the Spoken Tutorial team from '''IIT Bombay'''.

Latest revision as of 16:29, 1 September 2022

Title: Greek characters and Quadratic Equations.

Keywords: Libreoffice math, libreoffice writer, greek characters, percentage sign, markup, font size, alignment, quadratic equation, spoken tutorial, video tutorial.

Visual Cue Narration
Slide:Title Welcome to the Spoken tutorial on Greek Characters and Quadratic Equations.
Slide:

Learning Objectives

In this tutorial, we will learn to:
  • Insert Greek characters.
  • Write steps to solve a quadratic equation.
Slide:

System Requirements


This tutorial is recorded using,
  • Ubuntu Linux OS version 18.04 and
  • LibreOffice Suite version 6.3.5.
Slide:

Prerequisites

https://spoken-tutorial.org

To follow this tutorial, learner should be familiar with Math interface.


If not please access the relevant tutorials on this website.

Slide:

Code Files

  • The files used in this tutorial are provided in the Code files link.
  • Please download and extract the files.
  • Make a copy and use them for practising.
Open the MathExample1.odt Let us first open the MathExample1.odt file.
Double click on the gray box.


Math Formula Editor and the Elements window opens up.

Double-click the gray box in the Writer window.


This brings up the Math interface.

Only narration Let us learn how to write Greek characters using Math.

Greek characters like alpha, beta and others are common in mathematical formulae.

Point towards the Elements window.


Click and show the Element Categories drop-down.


In the Formula editor window (FEW in short) type: %pi newline

We don’t find these characters in the Elements window.


To write them, we use a percentage sign, followed by the name in English.


For example, to write pi, we type %pi in the Formula editor.


In FEW, press Enter, type %alpha newline `%beta newline To write lowercase characters, type the name of the characters in lowercase.


To write alpha in lowercase, type %alpha and to write beta type %beta.

In FEW, press Enter, type %GAMMA .

%THETA newline.

To write uppercase characters, type the name of the characters in uppercase.


To write gamma in uppercase, type %GAMMA and to write theta type %THETA.

Click on Tools menu on top, click Symbols. There is yet another way to enter Greek characters.


Click on the Tools menu and select the Symbols option.

Point to the Symbols dialog box.

Select Greek under Symbols.


Symbols dialog box appears.


Under the Symbol set, select Greek if not already selected.

Click on the Greek letter alpha from the list.

Point towards the name of the letter.


Point to the Preview.

Click on Greek letter alpha in the box.

The name of the selected letter is shown below the box.


Its preview is shown on the right.

Click on the Insert button in the Symbols dialog box to insert the symbol.


Now click the Insert button in the Symbols dialog box to insert the symbol.
Click on the Greek letter from the box.


Click on the Insert button in the Symbols dialog box to insert the symbol.

Similarly, insert other Greek letters given in the box.
Click on the Close button. Let’s close the Symbols dialog box, by clicking on the Close button.
Point to the markup for the Greek letters in the Formula editor. Notice that the markup for the Greek letters is shown in the Formula editor.
Point towards symbols icon

Close the Symbols dialog box, by clicking on the Close button.

We can also insert Greek letters using the Symbols icon on the Standard toolbar.
Click Save on the standard toolbar. Let us save the file now.
Slide:

Assignment

Pause the video and do this assignment.
  • Open the Math-assignment.odt file.
  • Write the markup for this formula:

pi is similar or equal to 3.1415.

  • Using the Symbols dialog box insert various Greek and special characters.
Click anywhere in the Writer area.


Press Ctrl + Enter on the keyboard.

Let us now write the steps to solve a quadratic equation.


We will go to a new page in the Writer document.


Click anywhere in the Writer area and press Ctrl and Enter keys on the keyboard.

Type: Solving a Quadratic Equation and press Enter twice.


Type the equation 2x2 - 7x+3=0

Show the text editor with the equations.

Added the Quadratic-Equation.txt in Code Files for copying-pasting the equations.

Let us type: Solving a Quadratic Equation:.


Here is the quadratic equation that we will solve, 2 x squared - 7 x + 3 = 0.


I have already typed the required expressions in a text editor.


I will copy and paste them to save time.

Click Insert >> Select Object

>> Submenu >> Select Formula.


We will now call Math application.


Click on Insert menu and select Object.

From the submenu select Formula option.

Point to the equation. Let’s write the markup for the quadratic equation that we want to solve.
Click on Format menu >> Select Font Size.

In the Font sizes dialog box >>

Change the Base size to 16 pt >> click OK button.

Let us change the font size to 16 point.


Click on Format menu >> Select Alignment.

Under Horizontal click Centered option.

Click OK button

Let us change the alignment to Centered.
In FEW, type:

2x ^ 2 - 7 x + 3 = 0


Type: newline .


In the Formula editor, type the markup as follows: 2 x squared minus 7 x plus 3 = 0.


Press Enter and type:

Quadratic Formula: newline

Press Enter.

Press Enter and type Quadratic Formula:.


Only narration It is a good practice to break a complex formula into simple elements.


Let’s start with the innermost elements of the formula.

Type:

sqrt{b^2 – 4ac} newline newline.

First we will write the innermost square root function.


The markup for that is square root of b squared - 4ac in curly brackets.

Type { -b +- before the above equation and } at the end. Next, let us add minus b plus or minus to the expression.

Then put the expression within curly brackets.

Type { before the above equation, and } at the end.


Type at the end: over{ 2a}.


Type x = at the beginning of line.


Let us add another set of curly brackets to make the expression a numerator.


Add over and 2a within curly brackets to the expression.


Finally, add x equal to at the beginning of the line.

Type ~ before and after = sign.

~ = ~

Point mouse over FEW,

~ symbol next to ‘x’.

Add blank spaces surrounding the equal to sign.
In FEW, type:

newline newline Where ‘a’ is` the` coefficient` of` the` x^2 term,

~b `is `the ` coefficient` of` the` x` term,

` c~ is `a` constant` newline newline


Point to the back quotes.

Next let us type the rest of the text as follows in the Formula editor.


Where ‘a’ is the coefficient of the x squared term.

‘b’ is the coefficient of the x term.

‘c’ is a constant followed by a newline.


I have added back quotes to create a small gap between the words for clarity.

We` can` solve` the equation` by` substituting` 2 `for `a,` -7` for` b,` 3` for` c newline newline. Now type the following line.


This line shows the substitution of values in the expression.

Press Enter twice and type

x~=~ {{ -(-7)+-sqrt{(-7)^2 - 4(2)(3)}}} over {2(2)} newline newline


Point to the parentheses.


The markup after the substituting the values is as shown.


Here we have substituted the numbers using parentheses in the equation.

Point to the quadratic equation. Now let’s solve the quadratic equation to get the values of x.

x~=~ {{7+-sqrt{(49- 24)}}} over 4 newline newline


x~=~ {{7+-sqrt{(25)}}} over 4 newline newline


x~=~ {{7+5}} over 4 newline newline


x~=~ {{7+5}} over 4, ~ ~ x~=~ {{7-5}} over 4 newline newline


x~=~ {{12}} over 4, ~ ~ x~=~ {{2}} over 4 newline newline


Type the following lines to show the values of x.


In these lines I have completed the calculation to show the values of x.

x~=~ 3, ~ ~ x~=~ 0.5 newline newline Here are the values of x.
Ctrl + S Let us save the changes.
Narration only: With this, we come to the end of this tutorial.


Let us summarize.

Slide: Summary In this tutorial, we have learnt to:
  • Insert Greek characters.
  • Write steps to solve a quadratic equation.
Slide: Assignment


3x2 -5x +2=0


Highlight the equation.

Here is an assignment for you:

Open Math-assignment.odt file.

  • Write steps to solve this quadratic equation
  • Format the steps by changing the alignment and spacing.
  • Add blank spaces and newlines as required.
Slide:

About Spoken Tutorial Project

  • The video at the following link summarises the Spoken Tutorial project
  • Please download and watch it


Slide:

Spoken tutorial workshops

  • We conduct workshops using spoken tutorials and give certificates
  • For more details, please contact us.
Slide:

Answers for THIS Spoken Tutorial

Please post your Timed queries in this forum.
Slide:

Acknowledgement

The Spoken Tutorial project is funded by the Ministry of Education, Govt. of India.
Slide:

Thank you

Acknowledgement to DesiCrew

This tutorial was originally contributed by DesiCrew Solutions Pvt. Ltd. in 2011.

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

Thank you for watching.

Contributors and Content Editors

Madhurig, Nancyvarkey, Nirmala Venkat

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