Recent content by imranq

Check out this video: https://www.khanacademy.org/math/recreational-math/puzzles/brain-teasers/v/3-d-path-counting-brain-teaser Look at trinomial functions for general case

I had a 3.6 gpa and 3.9 math gpa... Some leadership experiences / TA. Post college won a 2 national tech competitions I guess one of my problems is how to focus my interests

I finished my bachelors a 2-3 years back in mathematics and working a pretty good job in New York in the tech industry, but I am having trouble deciding what to do next! My options are either continue down this route and become a product manager, go more heavily into software engineering...

what is the method of characteristics?

Homework Statement Hey I'm trying to get a sense of this problem, just starting pde class: au_x+bu_y+cu=0 Homework Equations The Attempt at a Solution Dunno what to do with that last term

I don't understand this. I think equivalence classes are generalized equal signs for some property. So (1,1) I understand, but how so for (1,2)?

Homework Statement Homework Equations An equivalence relation on a set A, is for a,b,c in A if: a~a a~b => b~a a~b and b~c => a~cThe Attempt at a Solution It seems uncomplicated, but I don't know how I would write down a proof. The book I'm using is Topics in Algebra, 1st Edition Herstein

edit: whoops, the title should read, "what to do about textbooks with no solutions" So I'm trying to learn real analysis (using C.C. Pugh's book) and its going alright until I hit the exercises. There are no solutions! How am I supposed to know I proved something correctly? Is there a website...

Homework Statement We have a corollary that if f(x) is in the set of Riemann Integrable functions and g(x) is continuous, then g(f(x)) is also a riemann integrable function Show that if g(x) is piecewise continuous then this is not true Homework Equations Hint: take f to be a ruler...

oh, now its clearer. thanks

Homework Statement Given x > 0 and n \in N, prove that there is a unique y > 0 s.t. y^n = x exists and is uniqueHomework Equations Hint is given: consider y = 1. u.b. \{s \in R : s^n < x\} The Attempt at a Solution I'm not used to this style of proof (real analysis I), help would be...

yea, mod is used to represent items in terms of base n. But I don't understand how that is going to change the number of roots in the problem

Homework Statement Find the number of roots for the equation x^2+1=0 \mod n \: for \: n = 8,9,10,45 Homework Equations The Attempt at a Solution I have no idea where to start. Could someone help me understand?

I'm taking the class next semester, and I heard that number theory is usually a difficult subject. Is that true? If so, how should I approach it?

Ha ha ha! This is imranq from the MEGA Society! I bet you can feel my overwhelming intellect already. And as you can see, even my own initials spell IQ. How I laugh at you mere mortals... On a more serious note, however, the Stanford-Binet scale (if I remember correctly) was not used to measure...