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1. ### Definition of a vector using transformations

Thank you very much for replying. I have a few more questions, if you don't mind. 1). What is ISO(3) exactly? Is it a combination of the rotation group and translation group for 3-space? 2). Is Wrede mistaken in not referring to parity in his definition of vector, or what?
2. ### Definition of a vector using transformations

In the "intro to differential forms" thread by lethe, Super Mentor Tom defines a vector as something that transforms under rotation (multiplication by an orthogonal matrix) and parity (reflection through a mirror) in a certain way. I'm currently reading "Introduction to Vector and Tensor...
3. ### Is Q a lattice?

On further thought, I'll answer my own question (or try to). The subset I described isn't finite, so it's lack of a supremum doesn't mean that Q isn't a lattice.
4. ### Is Q a lattice?

It is, isn't it. I feel silly. At the risk of getting another simple answer to a stupid question, what about an interval between 0 and a positive irrational number, say sqrt(2). Does the supremum of such an interval lie within Q?
5. ### Is Q a lattice?

I'm reading "A Course in Advanced Calculus" by Robert Borden, and one of the problems begins as follows: "Prove that the field Q is a lattice, but not a (sigma)-lattice, under the usual order" (pg.25) Q is of course the rational numbers. However, Q doesn't seem to be a lattice, since...
6. ### Typical Math Course Sequence?

thanks for the info, cod and quartdeciman! superman: I studied calculus on my own the summer after my sophomore year. I agree that a regular class is generally better. I mainly did it this way so that I could dual enroll and thus take college level math classes for free.
7. ### Typical Math Course Sequence?

I'm a high school senior, and I've taken Multivariable Calculus and Differential Equations at the local community college. This semester I'm pursuing an independent study in Linear Algebra (because there's nothing else for me to take at the college). What is a typical course for a math major to...
8. ### AP Physics mechanics problem

Thanks! You've put my troubled mind at ease.
9. ### AP Physics mechanics problem

I'm doing an independent study in AP Physics, and am having a lot of trouble with the following problem: "To stop a car, first you require a certain reaction time to begin braking; then the car slows under the constant braking deceleration. Suppose that the total distance moved by your car...