LibreOffice-Suite-Math/C3/Set-Operations-Factorials-Cross-reference-equations/Gujarati
From Script | Spoken-Tutorial
Visual Cues | Narration |
---|---|
00.00 | Welcome to the Spoken tutorial on LibreOffice Math. |
00.04 | In this tutorial, we will learn how to |
00.08 | Write Set operations |
00.10 | Write Factorials and Cross reference equations by numbering |
00.16 | For this, let us first open our example Writer document that we created in our previous tutorials: MathExample1.odt. |
00.29 | Here let us go to the end of the document and press Control Enter to go to a new page. |
00.37 | And type “Set Operations: ” and press Enter twice. |
00.42 | Now let us call Math. |
00.46 | Before we go ahead, let us increase the font size to 18 point. |
00.51 | Change the alignment to the left. |
00.56 | Let us now learn how to write Set operations. |
01.00 | Math has separate mark up to represent Sets, which are collections of distinct elements. |
01.07 | Let us write 4 example sets in the Formula Editor window as shown on the screen: |
01.15 | Set A with 5 elements |
01.18 | Set B |
01.20 | Set C |
01.22 | And Set D equal to 6, and 7, with 2 elements each. |
01.29 | Notice that to write the brackets for sets, we can use the mark up: lbrace and rbrace. |
01.39 | Now we can write set operations such as unions and intersections. |
01.45 | First let us write a union operation. |
01.49 | The mark up for B union C is the same as we read it; |
01.55 | and the resulting set is 1, 2, 6, 4, and 5, which includes all the distinct elements in both sets. |
02.07 | The markup for an intersection operation is again the same as we read it. |
02.13 | The intersection includes only the common elements from both the sets. |
02.20 | So the result of B intersection D is 6. |
02.26 | And we can also write: set C is a subset of set A, as every element in C is in set A. |
02.39 | The mark up for this is C subset A. |
02.46 | You can learn to write more set operations, by exploring the Elements window by clicking on the third icon there. |
02.55 | Go to View> Elements> Set Operations. |
03.03 | Let us save our work now. |
03.05 | Click on File>Save. |
03.10 | Now let us write Factorial functions. |
03.14 | We will designate numbers 1 to 3 for the three formulae we are going to write shortly. |
03.23 | These will help to cross reference them anywhere within the Writer document. |
03.29 | Let us go to a new page by clicking three times slowly outside the Writer gray box. |
03.37 | Press Control -Enter. |
03.40 | Type “Factorial Function: ” and press enter twice. |
03.45 | Now, we know how to call Math. |
03.48 | But there is another way to bring up the Math object into the Writer. |
03.54 | For this simply write ‘f n’ on the Writer document and press F3. |
04.03 | We are now seeing a new Math object that says E is equal to m c squared; |
04.11 | and along with that, the number one within parentheses, on the right. |
04.18 | Meaning, we can cross reference this formula with the number 1 anywhere in this document; we will learn the details of how to do this later. |
04.30 | For now, let us double click on the Math object |
04.36 | And do the formatting. Font size 18 and Left Alignment. |
04.43 | Okay, let us now write an example for Factorial. |
04.48 | The mark up ‘fact’ represents the factorial symbol. |
04.53 | So let us overwrite the existing formula with ours: |
04.58 | 5 Factorial = 5 into 4 into 3 into 2 into 1 = 120. |
05.10 | Notice the mark up here. |
05.12 | Let us write our next formula in a new Math object here. |
05.17 | For this, let us first click outside this Writer gray box three times slowly. |
05.26 | Press the down arrow key two or three times to go to the end of this page. |
05.33 | And type ‘f n’ and press F3 to bring up the second Math object. |
05.40 | Again, we will repeat the formatting |
05.50 | and overwrite the existing formula with the factorial definition: |
05.55 | N factorial is equal to prod from k = 1 to n of k. |
06.05 | Notice the mark up ‘prod’ which denotes product, similar to sigma for summation. |
06.13 | Now, let us introduce a third Math object just like the first two |
06.24 | and rewrite the factorial definition as two conditional formulae as shown on the screen. |
06.33 | Notice the mark up ‘binom’, which displays a vertical stack of two elements and helps with better alignment. |
06.45 | Let us now see how we can cross reference these formulae. |
06.50 | For this, let us go to a new page |
06.54 | and type: An example of factorial is provided here: |
07.02 | Now let us click on the Insert menu, and on Cross reference. |
07.09 | In the new popup, let us select “Text” in the Type list. |
07.15 | Then choose the first item in the Selection list denoting the first factorial formula we wrote. |
07.24 | Now choose Reference in the ‘Insert reference tool’ list and click on Insert once and close. |
07.35 | So the number one in parentheses has appeared next to our text. And we are done. |
07.42 | Let us test it by simply clicking on this number; |
07.47 | And notice that the cursor has jumped to the location where we wrote the first formula. |
07.54 | So this is how we can cross reference Math formulae anywhere within the Writer document. |
08.01 | Let us save our work. |
08.05 | Here are some reference links for Math: |
08.10 | Download guides at libreoffice.org documentation link. |
08.17 | You can also visit the following website help.libreoffice.org/Math for more information on Math |
08.24 | And finally, here is an assignment for you. Use the Writer document. |
08.29 | Using the example Sets in this tutorial: check if A union ( B union C) is equal to (A union B) union C |
08.44 | Write the results of A minus B |
08.47 | And cross reference the second and third factorial formulae in the Writer document |
08.54 | This brings us to the end of this tutorial on Sets, Factorials and Cross Referencing in LibreOffice Math. |
09.03 | To summarize, we learned how to: |
09.06 | Write Set operations |
09.08 | Write Factorials and |
09.11 | Cross reference equations by numbering |
09.15 | Spoken Tutorial Project is a part of the Talk to a Teacher project, supported by the National Mission on Education through ICT, MHRD, Government of India. |
09.26 | This project is co-ordinated by http://spoken-tutorial.org. |
09.31 | More information on the same is available at the following link http://spoken-tutorial.org/NMEICT-Intro. |
09.35 | This script has been contributed by Priya Suresh, Desicrew Solutions, and this is (Saundarya desicrew solution ) signing off. Thanks for joining. |