Questions tagged [self-learning]

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.

4393 questions
2
votes
1 answer

Looking for an online course

My friend and I are interesting in doing an online math course together. He has the basic high school math up to Calculus AB and will be doing BC while we are doing the course. I, however have done Calculus III, Differentiate Equations and Linear…
1
vote
0 answers

How to prepare for IMO as a math beginner

I always wanted to solve IMO papers, those always took grabbed my attention, I did some calculus (till basics of multivariable cal, in Khan academy!! (self-taught only)), but, I feel lost right now, I don't know what to proceed next, can someone pls…
1
vote
0 answers

Reformating an equation

I have the formula $ f= \frac{\pi exp\{-(y-u) \frac{\pi}{\theta\sqrt3}\}}{\theta\sqrt3[1+exp\{-(y-u) \frac{\pi}{\theta\sqrt3}\}]^2}$ I am trying to convert it into the form $exp{[\frac{...}{...}]}$ but I am getting stuck. I understand that $…
monkey328
  • 21
  • 3
1
vote
0 answers

Creative approoach to understanding advanced math notation

I was very pleased when I saw Hilbert curves and as a student I am interested to learn advanced mathematical concepts such as Hilbert spaces in an interesting and creative way. In many papers I am finding terms like "Lipschitz domain", "sufficiently…
Good Luck
  • 123
1
vote
1 answer

Joint distribution of sum of dependent Poisson distributions

We have three independently Poisson distributed random variables, $U, V, W$, with intensities $\lambda, \mu, \nu$. Now, define $X = U + W$, and $Y = V + W$. The task is now to find the joint pmf of $(X, Y)$. What I started doing was the…
1
vote
0 answers

permutation and the combination in the manusctip

I am quite wondered how someone writes the permutation/combination as the part of a formula in the manuscript? For example, let $x$ be a set of values, $x=\{x_1,x_2,...,x_n\}$. Then if someone want to write the $\sum (\text{combination of two})…
Rose
  • 35
1
vote
0 answers

Bregman divergence and its property

Suppose, $S$ is a convex set in $\mathbb{R^n}$and $ri(S)$ denotes the relative interior set of $S$.For, $x_1\in S$ and $x_2,x_3 \in ri(S)$ the following property…
1
vote
3 answers

What is the "optimal" use of rote learning in studying (pure) math?

This question is about efficiency of studying habits in math. Clearly, rote learning everything without trying to develop an understanding of concepts in a math education is a bad idea, and this doesn't need an explanation. On the other hand,…
user56834
  • 12,925
1
vote
2 answers

what is sin(x) / abs(x) as x goes to limit of 0?

What is the limit value of $\frac{sin(x)}{|x|}$ as $x\rightarrow 0?$ I tried to solve this question by dividing it into two cases $\mathrm{(i)} \ x>0,$ and $\mathrm{(ii)}\ x<0.$ When $x>0,$ the limit value goes to one, as we know. But, when $x<0$…
1
vote
0 answers

Is the Mizar System feasible for checking basic proofs?

Learning mathematics can be intimidating at times and it can be very useful to have positive feedback when writing proofs for homeworks. Is the Mizar System suitable for this sort of task? I'm not sure if it is meant for casual use like this or if…
user385013
1
vote
0 answers

Particular solution to a difference equation

I'm working through some excercises from Applied Econometric Time Series by Walter Enders. In the book it is asserted that a particular solution to a difference equation $y_t=a_0 + a_1y_{t-1} + bt^d$ has the form $y_t = c_0 + c_1t + c_2t^2 + ... +…
goose
  • 53
1
vote
4 answers

Figuring out a digit knowing that the number is a multiple of 9

I am trying to help my kid with a homework problem, and he's insisting that the only way to solve is trial and error. I want to know if there is a more systematic way - it sounds as though the teacher may have taught them to do it by guessing and…
1
vote
6 answers

Engineering Procedure: Other ways to write 2

I am currently writing a college essay that is utilizing the engineering procedure. I am going to answer my question with the ways I know. Are there any other ways to write mathematically write 2 besides the infinite series?
Jose M Serra
  • 2,583
1
vote
1 answer

confidence interval for the difference in the mean?

this problem is from the wackerly, but i have a particular question, in this problem we have to estimate the variance with $S^2_p$ or can we use the information standard deviations that they gave us. Here is the problem: Two new drugs were given to…
neto333
  • 159
  • 2
  • 9
1
vote
1 answer

Which one is more complex; $(1-e^a)^{(b^c)}$ or $\frac{e^a \times a^b}{b!}$

I know this is a simple question but I cannot find an answer for it. I have two functions, $$1:\ (1-e^a)^{(b^c)}$$ and $$2:\ \frac{e^a \times a^b}{b!}$$ where $a,c$ are real numbers, $b=1,2,3,...$, $log(e)=1$ and $b!=b(b-1) ... 1$. which one…
MyQ
  • 121