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Mathematics : Recent Questions and Answers (Page 44)

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

Every prime power ideal in a Noetherian Ring of dimension one can be written uniquely as a power of a prime.

I am using Atiyah MacDonald to study commutative algebra and in Chapter 9, it says the following: If you look...

Asked on 12/10/2021 by BehavingEarth

1 answer

Find equation of line(s) bisecting perimeter and area of triangle formed by $xy$-axes and $6x+8y=48$

The line $6x+8y=48$ intersects the $x$-axis in point $A$ and the $y$-axis in point $B$. A line $L$ bisects the area and the perimeter...

Asked on 12/10/2021

2 answer

Prove the sum of $sqrt{3} + sqrt[3]{4}$ is Irrational number

I really don't know how to prove it.I can prove that $sqrt[3]{4}$ is irrational and prove that $sqrt{3}$ is irrational.but as we know , sum of...

Asked on 12/10/2021

2 answer

What is the function $E(x)$?

When reading Problems in Calculus of One Variable (a translated Russian book), I came across unfamiliar notation "$E(x)$". It is neither expected value nor $exp(x)$. Here is a...

Asked on 12/10/2021

2 answer

Set of Integers. How many does it contain? AMC 2003 Senior(Australia)

A set of positive integers has the properties thatEvery member in th set, apart form 1, is divisible by at least one of $2,3,$ or $5$.If the set...

Asked on 12/10/2021 by Oziter

1 answer

How many $7$-digit numbers can be generated with numbers in $S={1,2,3,4}$ such that all of the numbers in $S$ are used at least once?

I need to compute the following (this is not a homework or etc. just a personal curiosity). How many $7$-digit numbers can be generated with numbers in $S={1,2,3,4}$...

Asked on 12/10/2021 by math14

2 answer

What causes this fractal to curl and unwind?

During my regular recreational late night Desmos foolery, I came across this fractal parametric equation: $$x(t)=sum_{n=0}^infty frac{cos(2^nt+cn)}{2^n}$$$$y(t)=sum_{n=0}^infty frac{sin(2^nt+cn)}{2^n}$$ And decided to animate $crightarrow2pi$ on a loop....

Asked on 12/10/2021

1 answer

Why is the spectrum of a shift operator the closed unit disk?

Consider the following text from Murphy's: "$C^*$-algebras and operator theory": In example 2.3.2, why is $sigma(u) = Bbb{D}$...

Asked on 12/10/2021

1 answer

How to simplify expressions with del (or nabla) in them?

I always find it difficult to simplify expressions or open brackets in expressions that have a 'Del' (or 'Nabla') in them. For example, how would one go about simplifying this...

Asked on 12/10/2021 by TANMAY JOHRI

3 answer

What is $T(p(a x^2+b))$ when $T(p(x))=x^2p'(x)$

Let $T$ be linear transformation on $mathbb{P} rightarrow mathbb{P}$ that $T(p(x))=x^2p'(x)$. 1. Then, what is the value of $T(p(ax^2+b))$? I think it could be $x^2p'(ax^2+b)$...

Asked on 12/08/2021 by buttercrab

1 answer

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