Recent content by SMA_01

Thank you. Do you know how the general work environment for a software engineer compares with that of an electrical engineer?

I graduated in December 2013 with a BS in Mathematics (minor in Applied Statistics). I have taken this semester off to job search and think over things before pursuing a Master's degree. Originally, I was planning on going for a Master's in Mathematics and try to get a job as an instructor at...

Thank you. I'm a bit confused on how to find the density function, though. For John, I'm guessing f(t)=1/60 for 0<t<60 and 0 otherwise For Mary, g(s)=1/45 for 30<s<75 ? Or is that completely off?

John is going to eat at at McDonald's. The time of his arrival is uniformly distributed between 6PM and 7PM and it takes him 15 minutes to eat. Mary is also going to eat at McDonald's. The time of her arrival is uniformly distributed between 6:30PM and 7:15PM and it takes her 25 minutes to eat...

Thank you! I'm confused by the meaning of "up to a negative sign"...what does that meant exactly?

Let u be a unitary matrix in M2(ℝ). Prove that if {b1, b2} is an orthonormal basis of ℝ2, then u(b2) is determined up to a negative sign by u(b1). Can anyone provide some intuition that will help me understand the question (don't really understand it)? Any tips/hints appreciated. Thanks.

Hi, I am an undergrad math major (minor in applied stats) set to graduate next month. I have been considering graduate school for a long time, and I know I want to pursue at least a Master's in the near future. For a while, I wanted to pursue a Master's in Applied Statistics and aim for...

So if I take a finite subset of ℝ, then I can order the terms? Sorry, I just want to clarify.

Okay, correct me if I'm wrong, but if I take a finite subset, I thought it won't be countable? Like I can't order the terms...

But a basis for ℝ over Q is uncountable, so how can I take a finite, countable subset?

Honestly, I can't fully grasp it intuitively. I know how a basis is for ℝ with n-dimension, but not ℝ. I just can't see how something can span ℝ, is the standard basis applicable here? If I can't show linear independence/spanning the usual way, how should I do this? Thanks.

Let β be a basis for ℝ over Q (the set of all rational numbers) and let a\inℝ, a≠1. Show that aβ={ay|y\inβ} is a basis for ℝ over Q for all a≠0. So I need to show (1) Linear independence, and (2) spanning. I am a little confused, especially because the dimension for the vector space is...

Sorry, c_00 is a subspace, but {e_i} is a set. I understand now though how a finite number of the e_i's span any x in c_00, because x_n=0 for n≥N :smile:

What confused me was the fact that c_00 and {e_i} are infinite sets.

Let c_00 be the subspace of all sequences of complex numbers that are "eventually zero". i.e. for an element x∈c_00, ∃N∈N such that xn=0,∀n≥n. Let {e_i}, i∈N be the set where e_i is the sequence in c_00 given by (e_i)_n =1 if n=i and (e_i)_n=0 if n≠i. Show that (e_i), i∈N is a basis for...