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So i am trying to scrap together something for vr in which the locomotion is about the player holding the direction where he wants to go to(basically planning what he...

1Game Development Asked by Levent on 2 years ago

I am analyzing data from several trials where individuals were submitted to different stimuli and a biological response was measured. Some individuals participated in more than one trial where the...

2Cross Validated Asked by user4451922 on 2 years ago

Using grf function from R package geoR, I simulated 6 replicates (each with 1000 samples) of a Gaussian random field on [0, 1] x [0, 1], with zero mean, zero...

1Cross Validated Asked by Zheyuan Li on 2 years ago

This topic is dense with notation that makes things a bit confusing. But is this the correct interpretation? Suppose we have two jointly distributed random variables – $X$ ...

2Cross Validated Asked by eSurfsnake on 2 years ago

In a recent thread, use of adjusted $R^2$ ($R^2_{adj.}$) is mentioned in the context of model selection, e.g. The adjustment was invented as a solution to problems...

3Cross Validated Asked on 2 years ago

So I'm not too familiar with mixed models, but wondering about the following:library(reshape2)library(lme4)library(lmerTest)#Simulate longitudinal dataN <- 25t <- 2x <-...

1Cross Validated Asked by lazylarry on 2 years ago

I am reviewing the best linear projection properties proof in Hansen's book on econometrics. Specifically, the proof according to which $E(xy)<infty$. For this, it is assumed that $E(y^2)<infty$...

0Cross Validated Asked on 2 years ago

I calculated PCs for my samples and I am showing here data frame that has samples as my rows and PCs as my columns. My question is in order to...

1Cross Validated Asked on 2 years ago

If $f: [0,1] to mathbb{R}$ is differentiable, $g$ is continuous, and$f'(t) = g(f(t)),$ then $f$ is monotonic.Example 1: Suppose $g(x) = x Rightarrow f'...

1Mathematics Asked on 2 years ago

My work so far $${displaystyleint_0^1}dfrac{mathrm{e}^{12x}-mathrm{e}^{-12x}}{mathrm{e}^{12x}+mathrm{e}^{-12x}},mathrm{d}x$$ using substitution with $u=mathrm{e}^{12x}+mathrm{e}^{-12x}$ $$={displaystyleint}dfrac{1}{12u},mathrm{d}u$$ $$=class{steps-node}{cssId{steps-node-1}{dfrac{1}{12}}}{displaystyleint}dfrac{1}{u},mathrm{d}u$$ $${displaystyleint}dfrac{1}{u},mathrm{d}u$$ which is the standard integral: $$=lnleft(uright)$$ $$=dfrac{lnleft(uright)}{12}$$ and using substitution with...

4Mathematics Asked on 2 years ago

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