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Mathematics : Recent Questions and Answers (Page 79)

Find answers to your questions about Mathematics or help others by answering their Mathematics questions.

Question on Vectors and Linear equation

I am more of a physics student than mathematics and I also thought that vectors represented only things with a direction. For example in the equation a+b=0 . I found...

Asked on 11/18/2021

1 answer

Proving only certain methods of Integration work on certain problems

I have not studied Pure Maths (Stuff which includes rigorous proving) yet however I did take classes on Integration. There were certain problems which we could do only by certain...

Asked on 11/18/2021

1 answer

Properties of analytic functions

I read some chapters of the book "Road to Reality".It seems that analytic functions are one of the more important concepts of the book. They are listed many properties:Analytic...

Asked on 11/18/2021 by halfpog

1 answer

Play rolls 4 dice - Probability

I have a question -If a player rolls $4$ dice, and the maximum result is the highest number he gets (for example he tosses and gets $1$,...

Asked on 11/18/2021 by JustEquvilant

4 answer

Decreasing sequence of non-negative integers

Let $ a_n , n=0, 1, 2, dots $ be a strictly monotonically decreasing sequence consisting of non-negative integers. The sequence also has a lower bound C such...

Asked on 11/18/2021

2 answer

Prove that for every integer $x$, if $x$ is odd then there exists an integer $y$ such that $x^2=4y+1$.

Prove that for every integer $x$, if $x$ is odd then there exists an integer $y$ such that $x^2=4y+1$.Let $x$ be an odd integer. Then,...

Asked on 11/18/2021

1 answer

Example of $text{Regular}$ non-$T_0$ space which is not $text{Completely Regular}$?

Note: I'm assuming that the definition of Regular and Completely Regular spaces do not require them to be $T_0$. While studying Topology, I've found examples that show that ...

Asked on 11/18/2021

2 answer

What is this Strange Behavior of the Optimal Guess in Hi Lo?

I started playing the simplest hi/lo game I could think of with my 3 year old with the goal of having him practice his numbers. Me: I'm thinking of a...

Asked on 11/18/2021 by Frank Bryce

2 answer

How to solve this ODE: $y'(x) e^x = y^2(x)$?

I am trying to solve the differential equation $$y'(x) e^x = y^2(x) quad (DE) $$This is a Bernoulli form DE i.e $y'(x) + a(x)y(x) = b(x)y^r(x)$, where ...

Asked on 11/18/2021

3 answer

Complex Number Proof Questions

$Q.14)$ If $alpha,beta$ are complex numbers where $alphane beta$ and $|alpha| = 1$. Prove that $displaystyleleft|frac{alphaoverlinebeta-1}{alpha-beta}right|=1$. Image of question.For $Q.14$ I...

Asked on 11/18/2021 by j.a456

3 answer

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