Tagging - 2021-03-22

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4:42 AM

new-tag A new tag continuity-correction was created.

Q: Applying the continuity corrections removes equivalence between p-value condition and critical value condition?

Assume the population follows $Poi(\lambda)$ distribution, I want to test $H_0: \lambda \geq \lambda_0$ versus $H_1:\lambda<\lambda_0$. The variable we usually use in this type of test is $$\frac{\bar X - \lambda}{\left(\frac{\lambda}{n}\right)^{1/2}}\sim^aN(0,1).$$ I would compute the p-value wi...

Continuity correction

In probability theory, a continuity correction is an adjustment that is made when a discrete distribution is approximated by a continuous distribution. == Examples == === Binomial === If a random variable X has a binomial distribution with parameters n and p, i.e., X is distributed as the number of "successes" in n independent Bernoulli trials with probability p of success on each trial, then P ( X ≤ x ) = P ( X < x + 1 ) {\displaystyle P(X\leq x...

new-tag A new tag schrodinger-equation was created.

Q: Interpretation of the conformal symmetry of Schrodinger equation

Consider the linear Schrodinger equation $$ \begin{cases} i\partial_t u + \Delta u =0,\\ u|_{t=0}=u_0, \end{cases}, t\in\mathbb R,x\in \mathbb R^n, u\in \mathbb C. $$ If $v$ is a solution to the problem, then so is $$ u(t,x):=\frac{1}{(1+t)^{n/2}} v(t/(1+t), x/(1+t)) \exp\left(i\frac{|x|}{4(1+t)}...

partial-differential-equations dispersive-pde schrodinger-equation

Schrödinger equation

The Schrödinger equation is a linear partial differential equation that governs the wave function of a quantum-mechanical system. It is a key result in quantum mechanics, and its discovery was a significant landmark in the development of the subject. The equation is named after Erwin Schrödinger, who postulated the equation in 1925, and published it in 1926, forming the basis for the work that resulted in his Nobel Prize in Physics in 1933.Conceptually, the Schrödinger equation is the quantum counterpart of Newton's second law in classical mechanics. Given a set of known initial conditions, Newton...

6 hours later…

Feeds

10:30 AM

Q: Should I add a tag to somene else's question

I found a simple solution to sum a series with trigonometric functions by converting it into a telescoping sum, and posted an answer. However, the OP did not mention about telescoping in their question; what's more, the accepted answer does not rely on the concept, either (instead, it utilizes a ...

discussion tagging

10 hours later…

Martin Sleziak

8:33 PM

Jan 20 at 3:25, by Martin Sleziak

new-tag deleted-tag The tag desmos was created and removed here: https://math.stackexchange.com/posts/3992331/revisions

new-tag A new tag desmos was created.

Q: Desmos plot only for integral $x$

I'm trying to plot $2\operatorname{floor}\left(\log_{2}x\right)+1$ but only if $x$ is a natural number. Desmos plots correctly $2\operatorname{floor}\left(\log_{2}x\right)+1$ I would like this however: I achieved this using a list of points $[(1,1),(2,3),(3,3),(4,5)\ldots]$ but I would like to ...