Intereting Posts

Is there any significance in the order in which group axioms are presented?
Determining holomorphicity
Automorphisms of the complex plane
Why is the restricted direct product topology on the idele group stronger than the topology induced by the adele group?
Induction and contradiction
Every set of $n$ generators is a basis for $A^{n}$
Can a ring without a unit element have a subring with a unit element?
“Proof” that $1-1+1-1+\cdots=\frac{1}{2}$ and related conclusion that $\zeta(2)=\frac{\pi^2}{6}.$
Solving the equation $\ln(x)=-x$
Range scaling problem
When is the kernel pair of a finite presentation of algebraic structures finitely generated?
Irreducible in $\mathbb{Z}$
Fastest way to find if a given number is prime
Give an example of a non-separable subspace of a separable space
Showing a Ring of endomorphisms is isomorphic to a Ring

While doing a calculation in quantum mechanics, I got a expression $\sin(\omega t)$, and my prof said if I consider the consider at large times, then i can assume that this goes to zero because at large times, the graph of $\sin$ oscillates very rapidly and so you can take it to be zero. When i asked about this he said we want to check for $\frac{\Delta t}{t}$(no units) which should be invariant, and so at large times, we need to take long time(means many cycles) for same ration of $\frac{\Delta t}{t}$.

But I wasn’t convinced by this explanation. I want to know is this mathematically consistent.

- Continuous function that attain local extrema every point
- Why Doesn't Cantor's Diagonal Argument Also Apply to Natural Numbers?
- Is there a limit of cos (n!)?
- Convergence tests for improper multiple integrals
- composition of $L^{p}$ functions
- Jensen's Inequality (with probability one)

- What is the best way to define the diameter of the empty subset of a metric space?
- Deciding whether two metrics are topologically equivalent in the space $C^1()$
- Show continuity or uniform continuity of $\phi: (C(;\Bbb R ),||\cdot||_\infty )\to (\Bbb R, |\cdot | )$
- 2013 Putnam A1 Proof understanding (geometry)
- How many roots have a complex number with irrational exponent?
- Evaluating Indefinite Integrals of the form $\int\frac{f(x)}{p(x) \sqrt{q(x)}}\mathrm dx$
- Integral in $n-$dimensional euclidean space
- if $A$ has Lebesgue outer measure $0$ then so does $B=\left\{x^2: x\in A \right\}$
- Classifying the compact subsets of $L^p$
- Proving that $S=\{\frac{1}{n}:n\in\mathbb{Z}\}\cup\{0\}$ is compact using the open cover definition

- Explain Carmichael's Function To A Novice
- Formula for the nth Derivative of a Differential Equation
- Showing a set is a subset of another set
- Quasi-interactive proof on real numbers
- What's the hard part of zero?
- Proof that every natural number is the sum of 9 cubes of natural numbers
- Can indefinite double integrals be solved by change of variables technique?
- The cross product of two sets
- complicated derivative with nested summations
- Why do we need to check both primal and dual feasibility in LP programs?
- Logic for decomposing permutation into transpositions
- Derivation of the polarization identities?
- Numbers are too large to show $65^{64}+64^{65}$ is not a prime
- Uniform convergence problem
- How to start with mathematics?