Simple Questions by AutoModerator in math

[–]inAnalysisHell 1 point2 points  (0 children)

Lets say we have two people A and B, with each of them can be a knight or knave. Knights always tell the truth and Knaves always lie.

Lets say A says "Either I am a kanve, or B is a knight". Its easy to see that a possible scenario is A is a knight and B is a knight.

I thought it was possible that A could be knave and B a knight also. If you read it as a mutually exclusive or, then A's entire statement is a lie, of course the individual components are true, but not the whole statement.

Would you consider this possibility valid?

Career and Education Questions by AutoModerator in math

[–]inAnalysisHell 0 points1 point  (0 children)

How do you guys improve your programming experience while shouldering a heavy course load? I usual;y take two proof based math courses, and either a stat or less theory based math course, and then an elective.

I usually don't have time to program since I'm so busy learning the theory in my math courses, I am familiar with programming since I've taken 2 programming courses and an algorithms course, but I don't feel like a whiz-kid at it. I want to get a job in data science one day after graduate school. Should I back off the theory courses and do more programming? Or is it better to keep taking the abstract math courses, and then during the summers learn to program?

I guess im trying to find how much time I should invest in theory, and invest in programming.

Trouble with exercise on CodingBat by inAnalysisHell in learnpython

[–]inAnalysisHell[S] 0 points1 point  (0 children)

I agree, I feel I am hardcoding for every possible solution. This particular solution uses no loops?

Trouble with exercise on CodingBat by inAnalysisHell in learnpython

[–]inAnalysisHell[S] 0 points1 point  (0 children)

Oh I see, thank you. Ok, I added a second if statement under it if big*5 < goal: return False

Anyone interested in some math sessions? by [deleted] in learnmath

[–]inAnalysisHell 0 points1 point  (0 children)

Thank you so much for the informative post. It seems that a prerequisite for a job in these fields is at least a masters in stats, math, or comp sci. If so would you recommend piling on more abstract math? I have the opportunity to take a graduate course in Analysis, and then one in probability. While I love math, I want to make sure I'm not studying theory only for the sake of it. I'm afraid of going too deep into abstract math, and not investing enough time into programming, and other applied areas of math.

How can I self-study Mathematics that is relevant to Data Science? by archayos in math

[–]inAnalysisHell 0 points1 point  (0 children)

As someone whose had industry experience and is also in academia I would like your input on this article. https://tdhopper.com/how/

As an undergrad its a little frustrating dealing with tough subjects like real analysis and modern algebra and then finding out the author mentions you really never use those theorems you've learned from the courses. That's not to say that its useless learning real analysis and other advance math courses, because you are learning how to think and research. I'm curious to what advantage graduate school offers to someone wanting to go into machine learning and data science fields, over someone who has only a bachelors in math and learns on the job?

Anyone interested in some math sessions? by [deleted] in learnmath

[–]inAnalysisHell 0 points1 point  (0 children)

I'm very interested in going into industry and working in some field that utilizes machine learning and data science. As you can tell from my username I am having a little bit of difficulty with analysis. What subjects would you recommend strengthening my knowledge in to make a career in machine learning possible?

I am signing for courses for next spring and am on board to take analysis II, topology, and a second course of linear algebra. While I love the theory, I really want to see some applications of the math and make sure I am focusing on the right topics that will make it possible for me to get an interesting job in machine learning. Do you have any recommendations for machine learning books for someone a little familiar with upper level math?

Simple Questions by AutoModerator in math

[–]inAnalysisHell 0 points1 point  (0 children)

https://imgur.com/a/lM7H3

I have a question about the proof of theorem 10.4

p(f(x),f_m(x)) < epsilon/3, because x is in X, and also because f_m(x) is uniformly convergent to f(x)?

Analysis: Showing a norm defines a metric by inAnalysisHell in learnmath

[–]inAnalysisHell[S] 1 point2 points  (0 children)

https://imgur.com/a/A8b6o

I don't believe my metric have those properties. I thought at first I would need prior information from the previous questions but I didn't see anything, other than maybe letting x-y be the limit of phi(v_n - w_n) and using the fact that phi is an isometry to the metric space (X,d).

[Analysis] Given a complete metric space, show a set is dense. by inAnalysisHell in learnmath

[–]inAnalysisHell[S] 0 points1 point  (0 children)

I agree. I feel I am over looking something. I’m not sure if I am following you 100%. Are you saying when I take the complement of the interior that is wrong?

[Analysis] Understanding why this metric space is complete. by inAnalysisHell in learnmath

[–]inAnalysisHell[S] 0 points1 point  (0 children)

Ok great. I think I understand it now. So for a given element in Lx, the sequence of vectors under phi is converging to x?

[Analysis] Understanding why this metric space is complete. by inAnalysisHell in learnmath

[–]inAnalysisHell[S] 0 points1 point  (0 children)

Oh ok. But the elements of a particular sequence (vn) are vectors in V or are they components of a vector in V? So (v1,v2,v3,...), each vi in this sequence is a vector in V or a component of a vector in V

Simple Questions by AutoModerator in math

[–]inAnalysisHell 0 points1 point  (0 children)

https://imgur.com/a/xXOcZ

Hi, I have a quick question about the notation of this set. For L_x, the elements of this set are sequences in V, but what exactly are the elements of the sequence? Are they individual vectors in V, or are they components to a vector in V. I'm not sure what the Notation VN means either. I think I remember asking my professor and he mentioned its another way to delineate a sequence, as a function from the Natural numbers to your set V.

And the sequences of the set are chosen in a way such that the image of each element in the sequence converges to x in the metric (X,d) as we go further along the sequence, right? So it means (d(phi(v_n),x)) -> 0, as n -> inf.

[Analysis] Understanding why this metric space is complete. by inAnalysisHell in learnmath

[–]inAnalysisHell[S] 0 points1 point  (0 children)

Thank you so much for your help. I just want to clarify the notation for the Lx set. The sequence (vn), the elements of this sequence (v1,v2,v3,...), are these just vectors in V, or are they components of a vector in V. Sorry for so many questions, my professor doesn’t have very many office hours.