The process of studying mathematics without formal instruction. Don't use this tag just because you were self-studying when you came across the mathematical question you're asking; it is only for when the fact that you're self-studying is what your question is about.
Questions tagged [self-learning]
4393 questions
0
votes
1 answer
How many digit number combinations fit this criteria?
Question 1
Hi all. I need to find out what are the 4 digit number combinations that can add up to a final number of 6. For example: 6666 = 6+6+6+6 = 24 = 2+4 = 6
Question 2
Instead of using 4 digit combinations, what are the alternative 2 & 3 digit…
Stanley
- 1
0
votes
0 answers
Mathematics to self study
I do not know if this is the right place for this question. I am an undergraduate math student entering his junior year this coming fall, but I'd like to teach myself some math that is accessible to me giving my current knowledge. So far I have…
Sze
- 1
0
votes
1 answer
Prove that the complement of a point in a metric space is open.
Caveat Lector :
This has been done before, but I don’t slavishly want to copy.
Let $A=M-\lbrace x\rbrace$ where $M$ is a metric space. Let $A$ be complementary point and $A \subset M$. $\lbrace
Kaplansky also mentions the closed ball without…
user536709
0
votes
0 answers
What does "condition" mean in this sentence from Pólya's "How to Solve It"?
Among Polya's four phases of problem-solving, the first one says that you have to understand the problem first, and these are some of the questions you should ask yourself:
"What is the unknown? What are the data? What is the condition? Is it…
0
votes
0 answers
Question on integral theory
When does basic integral theory that you learn in
a first year real analysis course lead to measure
theory
What techniques.. do I need to make the transition
less painful
Measure theory seems much more abstract.
user536709
0
votes
2 answers
Is there a way to write this term different $e^{x+e^x}$?
I am a little confused what this actually means:
$e^{x+e^x}$
It is obviously not the same if I for example
$$e^{x}:= \lambda \\
e^{x+e^x} \neq \lambda^\lambda
$$
Steven
- 3
0
votes
1 answer
How to calculate AP Cost for foods & liquids
[Item]
Frozen Yogurt
[No. Of Units]
2 L
[AP Cost]
$2.89
[Unit Cost]
0.072 per 50 ML
I need to find the unit cost.
The answer book says 0.072… how did it get that answer?
For reference the formula is:
Unit Cost = As Purchased Cost / Number of…
0
votes
1 answer
Interchange of differentiation and summation
I came across an example about interchange of differentiation and summation. Can anyone show me how to prove the equation in the picture? Thank you!
cliu
- 125
0
votes
1 answer
Calculating chance from observation
For an exam preparation I'm trying to solve the following task:
Suppose we have two coins:
one is fake ($100\%$ chance of tails) and one normal
We throw the coin $n$ times ?
Give the probability that the fake coin was used after we had $n$ (or to…
zython
- 460
0
votes
1 answer
Algebra -- Artin vs Hall & Knight
I came across Algebra from Artin and Higher Algebra by Hall & Knight and even though they both have kind of same title I found them entirely different. H&S talks mostly of ratios, proportions and polynomial equations whereas Artin talks mostly in…
ArnuldOnData
- 347
0
votes
0 answers
Topics regrading linear space and tensor products
To join a class, I have been asked by a professor to learn
"linear space and its dual"
"tensor products of vector spaces"
and the link to the book is…
mathnoob123
- 1,373
0
votes
1 answer
Is Spivak's calculus book better than MIT OCW to learn Calculus and Mathematical analysis for a freshman student?
I'm getting into college next week, and here in my country we don't study calculus but we study what's called mathematical analysis, those are the topics covered in first year :
Real Number Properties
Functions & Limits (Including…
Anis Souames
- 303
0
votes
1 answer
Why don't textbooks explain proofs' discovery?
This question concerns only proven statements. I don't know if research papers do, but most math textbooks don't. Counterarguments:
Space?
1.1. The increased length from explaining the discovery is justified; if proofs' discoveries aren't explained…
user53259
0
votes
1 answer
log & exponent rules to solve attached equation
I am having some trouble working out the maths on how to get from the first equation to the second equation in the attached photo where $\sigma^2=1$. I have absolutely no idea where to start, it looks so nasty!
user429320
0
votes
1 answer
Second derivatives with respect to $\mu$ and $\sigma^2$
The followings are the results of the first derivatives with respect to $\mu$ and $\sigma^2$
$\dfrac{\partial \ln l}{\partial\mu} = \dfrac{1}{\sigma^2}\sum_{i=1}^n(x_i-\mu)$
and
$\dfrac{\partial \ln l}{\partial\sigma^2} = -\dfrac{N}{2\sigma^2} +…
user122358
- 2,712