# Search results

1. ### What is the largest number less than 1?

What about in the set of rational numbers Q which is countable
2. ### Points on a circle.

Let me give you hints The well known relationship is d=r\theta You know d and r, so you can find \theta Now let us assume the circle is centered at origin and given point is on +ve x axis (r,0). So x1=r y1=0; Now x2= r cos\theta and y2=r sin\theta Also in this case x3=x2 and y3=-y2 From...
3. ### Mathematics Conventions and Rationale

For example, the conventional current direction flowing in a conductor is opposite to the direction of flow of electrons. Though it is unreasonable, it is still in use, and always confuses the beginners (at least it confused me a lot) who learn electricity. We can't do much about conventions and...
4. ### Mathematics Conventions and Rationale

When you say it is a convention it means that it is something which is widely accepted by the community and there is no need for any reason or explanation behind that. The mathematical conventions are like that to express mathematical operations without any ambiguity. I think, no need to worry...
5. ### Even or odd function

Another approach is, you can plot your function as a graph for different values of x say from -10 to 10. Now you see the graph of f(x) , whether it is symmetrical about y axis. If you see mirror image of function about y axis it is even function and if you see negative reflection it is odd and...
6. ### Dividing by Infinity

Hmmm, zero times infinity is not zero. That's why you got 1=0 wrongly!!!
7. ### Best Mathematics Books

For Linear Algebra I would recommend you "Introduction to Linear Algebra" and "Linear Algebra and its applications" by Gilbert Strang