Recent content by mansi
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Graduate Is Every Punctured Open Set in R^2 Path Connected?
I was asked to prove, every punctured open set in R^2 is path connected. My argument : take points x and y. let z be the point we've taken off from U (open). if x, y,z do not pass through a staright line, we have a segment between a and y. Now if the 3, i.e. x,y,z lie on a straight... -
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Unlocking Knowledge: The Value of Attending Eminent Speakers' Lectures"
We had a series of 4 lectures by Prof. Langlands as well(possibly, he's touring India)...the topic being "Probabilistic Statistical Mechanics". I just went there to get a glimpse of the legend( I attended only the first one)...- mansi
- Post #12
- Forum: STEM Academic Advising
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Undergrad Solving Generating Function Problems - How to Get the Answer
Thanks,Sir...that was a big help :-)- mansi
- Post #7
- Forum: Linear and Abstract Algebra
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Undergrad Solving Generating Function Problems - How to Get the Answer
That's precisely what my professor said in class!Can you give me examples where they're used?- mansi
- Post #5
- Forum: Linear and Abstract Algebra
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Undergrad Solving Generating Function Problems - How to Get the Answer
I meant f(x) is that expression and not (f(x))^-1. But well...I just got to know that the problem can be solved not using ordinary generating functions but will require "something" called exponential generating functions. Can Someone here please give me a motivation for the concept of...- mansi
- Post #3
- Forum: Linear and Abstract Algebra
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Undergrad Solving Generating Function Problems - How to Get the Answer
We are about to begin this topic soon in class... I'd like to know all about generating functions and their application. I tried reading it up...One thing I'd like to know is, once you have a generating function...then what? You get some information...but what is it? I tried to find no. of...- mansi
- Thread
- Functions
- Replies: 7
- Forum: Linear and Abstract Algebra
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Undergrad Assume that f is non-negative on (0,1)
Hello...I need help and I know this is a very simple problem...I don't know why I'm getting stuck( Maybe because it's past midnight here:frown: ) Assume that f is non-negative on (0,1) and the third derivative of f exists on (0,1).If f(x)=0 for at least 2 values of x in (0,1), show that there... -
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Mellow Jazz & Blues Music: Recommendations Wanted
you,your kids and animals have got company...I Like Yanni too :smile: ! -
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Undergrad Is there a solution using the Box Principle for a chessmaster's game schedule?
it was...thanks!- mansi
- Post #10
- Forum: Set Theory, Logic, Probability, Statistics
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Undergrad Is there a solution using the Box Principle for a chessmaster's game schedule?
how do we get the inequality 1<= a1 <=...<=a77 <= 132 ?? it hasn't been mentioned anywhere that the number of games played keeps increasing with each passing day, has it??- mansi
- Post #8
- Forum: Set Theory, Logic, Probability, Statistics
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Exploring Indian & Western Music: A Mathematician's Perspective
Thanks so much for all the inputs...i was hoping for more responses,though... -
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Exploring Indian & Western Music: A Mathematician's Perspective
The reason I decided to post my queries out here is simple:I believe that ideas of PF members,by and large,represent the ideas of the world. :smile: I've been learning indian classical music for about 12 years now...have lots of friends who're equally passionate about music.I guess... -
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PF Member : The Cryptic Clue Game
27. unity is mightier than his eccentricity- mansi
- Post #82
- Forum: Fun, Photos and Games
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PF Member : The Cryptic Clue Game
<<Matt Grime[/color]>>- mansi
- Post #76
- Forum: Fun, Photos and Games
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What Are the Most Captivating Novels to Read?
"Temple" by Matthew Reilly is a good choice for sci-fi buffs..."The Da Vinci Code" was superb too... but if you've just begun reading...don't miss "Sherlock Holmes". Holmes' indian counterpart "Feluda" (satyajit ray) is pretty good too...- mansi
- Post #7
- Forum: Science and Math Textbooks