PHY-MATH

  What are Functions – II ? Hello everyone, So, in the previous post I explained the meaning of Functions. If you missed the post, just click on the following link     Now, we’ll see Functions in more details: A function is a process (or a relation) that associates each element  x  of a  set   X , the  DOMAIN  of the function, to a single element  y  of another set  Y  (possibly the same set), the  CODOMAIN  of the function. Now you know why it is called “FUNCTION” ? Because it does something, it’s a process.   I some times see FUNCTIONS as some kind of machine in which when we put some value of x of set X ( DOMAIN) and in return it gives a single value y of set Y ( CODOMAIN) This was just a general presentation friends now let us see some real functions too. So as in Real life we have different gadgets to fulfill our daily needs, similarly to fulfill our mathematical needs there are many...

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  WHAT ARE FUNCTIONS?   So in the previous post, we learnt about “ RELATIONS”. If you missed those posts kindly follow the link, as it is pre requisite knowledge to study functions. CLICK THIS LINK WHAT ARE RELATIONS?     Dear friends “ FUNCTIONS” are special type of “RELATIONS” In a Relation we associate elements of set “A” (DOMAIN) with the elements of set   “B”   ( CO DOMAIN) following a fixed rule. R = { (0,0), ( 1, -1) , (1, 1) , ( 4, -2) , ( 4, 2) , ( 9, -3) , ( 9, 3) } See how 1 associated with -1 and 1 in red colour. 4 with -2 and 2 in blue and 9 with -3 and 3 in green. R = { (0,0), (-1,1), (1,1), (-2,4) , ( 2,4), ( -3,9) , ( 3,9), ( -4,16), (4,16) } See how -1 and 1 are associated with 1 in yellow colour -2 and 2 with 4 in green ; -3 and 3 with 9 in red and -4 and 4 with 16 in black Now, we’ll take just one more example and then we can understand what functions are See how each -2 is connected with -1 only, -1 with 0 ...

                                                          Types of Relations Dear friends, in the previous blog we learnt about the meaning of "RELATION" and meaning of         "REFLEXIVE RELATION". If you have missed click below Relations - post 1 Now we'll continue with the topic 😊😊 Symmetric   relations: I wish this relation were symmetric. ( poor zoo zoo). Let us define a relation in the set of human beings to understand the meaning of symmetric relations     e.g. A is related to B if A and B live in the same locality, where A and B are human beings. So, Mr. Mehra is related to Mr. Sharma as both live in the same locality. So Mr. Mehra can tell Mr. Sharma ,” I am related to you.” Can Mr. Sharma say the same words to Mr. Mehra? Or in other words, is Mr. Sharma related to Mr. Mehra with the s...