LibreOffice-Suite-Math/C3/Set-Operations-Factorials-Cross-reference-equations/English-timed
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Time | Narration |
00:00 | Welcome to the Spoken tutorial on LibreOffice Math. |
00:04 | In this tutorial, we will learn how to: |
00:07 | * Write Set operations |
00:10 | * Write Factorials and |
00:12 | * 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. |
00:45 | Before we go ahead, let us increase the font-size to 18 point. |
00:51 | Change the alignment to the Left. |
00:54 | 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: |
01:14 | Set A with 5 elements |
01:18 | Set B |
01:19 | Set C |
01:21 | And Set D, with elements each. |
01:26 | Notice that to write the brackets for sets, we can use the mark up: lbrace and rbrace. |
01:35 | Now, we can write set operations such as unions and intersections. |
01:42 | First, let us write a union operation. |
01:46 | The mark up for B union C is the same as we read it; |
01:51 | and the resulting set is 1, 2, 6, 4, and 5 which includes all the distinct elements in both sets. |
02:04 | The markup for an intersection operation is again the same as we read it. |
02:10 | The intersection includes only the common elements from both the sets. |
02:16 | So, the result of B intersection D is 6. |
02:23 | And we can also write: set C is a subset of set A, as every element in C is in set A. |
02:35 | The mark up for this is C subset A. |
02:42 | You can learn to write more set operations, by exploring the Elements window by clicking on the third icon there. |
02:51 | Go to View> Elements> Set Operations. |
02:59 | Let us save our work now. |
03:02 | Click on File>Save. |
03:06 | Now let us write Factorial functions. |
03:11 | We will designate numbers 1 to 3 for the three formulae we are going to write shortly. |
03:19 | These will help to cross reference them anywhere within the Writer document. |
03:25 | Let us go to a new page by clicking three times slowly outside the Writer gray box. |
03:33 | Press Control -Enter. |
03:36 | Type “Factorial Function: ” and press enter twice. |
03:42 | Now, we know how to call Math. |
03:45 | But there is another way to bring up the Math object into the Writer. |
03:51 | For this simply write ‘f n’ on the Writer document and press F3. |
03:59 | We are now seeing a new Math object that says E is equal to m c squared; |
04:07 | and along with that, the number one within parentheses, on the right. |
04:14 | Meaning, we can cross reference this formula with the number 1 anywhere in this document; |
04:22 | we will learn the details of how to do this later.
|
04:27 | For now, let us double click on the Math object |
04:32 | And do the formatting. Font size 18 and Left Alignment. |
04:40 | Okay, let us now write an example for Factorial. |
04:44 | The mark up ‘fact’ represents the factorial symbol. |
04:50 | So let us overwrite the existing formula with ours: |
04:55 | 5 Factorial = 5 into 4 into 3 into 2 into 1 = 120. |
05:07 | Notice the mark up here. |
05:09 | Let us write our next formula in a new Math object here. |
05:14 | For this, let us first click outside this Writer gray box three times slowly. |
05:23 | Press the down arrow key two or three times to go to the end of this page. |
05:30 | And type ‘f n’ and press F3 to bring up the second Math object. |
05:37 | Again, we will repeat the formatting |
05:46 | and overwrite the existing formula with the factorial definition: |
05:52 | N factorial is equal to prod from k = 1 to n of k. |
06:01 | Notice the mark up ‘prod’ which denotes product, similar to sigma for summation. |
06:10 | Now, let us introduce a third Math object just like the first two |
06:20 | and rewrite the factorial definition as two conditional formulae as shown on the screen. |
06:30 | Notice the mark up ‘binom’, which displays a vertical stack of two elements and helps with better alignment. |
06:42 | Let us now see how we can cross reference these formulae. |
06:47 | For this, let us go to a new page |
06:51 | and type: An example of factorial is provided here: |
06:59 | Now let us click on the Insert menu, and on Cross reference. |
07:06 | In the new popup, let us select “Text” in the Type list. |
07:12 | Then choose the first item in the Selection list denoting the first factorial formula we wrote. |
07.21 | Now choose Reference in the ‘Insert reference tool’ list and click on Insert once and close. |
07.31 | So the number one in parentheses has appeared next to our text. And we are done. |
07.39 | Let us test it by simply clicking on this number; |
07.43 | And notice that the cursor has jumped to the location where we wrote the first formula. |
07.51 | So this is how we can cross reference Math formulae anywhere within the Writer document. |
07.58 | Let us save our work. |
08.01 | Here are some reference links for Math: |
08:06 | Download guides at libreoffice.org documentation link. |
08:14 | You can also visit the following website for more information on Math |
08:20 | And finally, here is an assignment for you. Use the Writer document. |
08:25 | Using the example Sets in this tutorial: check if A union ( B union C) is equal to (A union B) union C |
08:40 | Write the results of A minus B |
08:43 | And cross reference, the second and third factorial formulae in the Writer document |
08:51 | This brings us to the end of this tutorial on Sets, Factorials and Cross Referencing in LibreOffice Math. |
08:59 | To summarize, we learned how to: |
09:03 | Write Set operations |
09:05 | Write Factorials and |
09:08 | Cross reference equations by numbering |
09:11 | 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. |
09:23 | This project is co-ordinated by http://spoken-tutorial.org. |
09:27 | More information on the same is available at the following link |
09:32 | This script has been contributed by Priya Suresh, Desicrew Solutions, and this is (Saundarya desicrew solution ) signing off. Thanks for joining. |
Contributors and Content Editors
Jyotisolanki, Krupali, Minal, PoojaMoolya, Pratik kamble, Ranjana, Sandhya.np14, Sneha