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#function

2 posts2 participants1 post today
Public
Still Mad About CD Prices

Looking for ideas for building a little #Rstats function.

Let's say I asked a bunch of people if they felt older, younger, or the same age as half a dozen randomly-selected ages.

Let's say that because that's what I did.

Example: Jane is asked this question about ages 17, 19, 25, 38, 41, and 52.

Each person answers younger/same/older to each of the ages (each person also gets a different selection of ages to answer).

Ultimately, I want to use those answers to get an estimate of the age each person feels. First, however, I want to see how numerically consistent each person's answers are.

Examples: if Jane said
17: older
19: older
25: older
38: same age
41: younger
52: younger

That's numerically consistent. However, if she said

17: older
19: younger
25: older
38: same age
41: older
52: younger

that's not consistent (she can't be both younger than 19 and older than 41).

It's also consistent if she said she felt younger than all the ages or older than all of them.

Maybe because it's late or maybe because I'm slow, I'm having a hard time approaching this. I'll leave it on the back burner for a couple of days since it's late where I am and I won't have time for it tomorrow.

If any of y'all (and many of you are ridiculously more quantitatively skilled than I am) have ideas of how to approach a function for this, or -- even better -- if a solution already exists as a formula or something, lay it on me. I'll be in your debt*.

*up to but not surpassing verbal compliments and possibly $2 USD

#help#statistics#math
Public
h o ʍ l e t t

→ #Speedrunners are #vulnerability researchers, they just don't know it yet
zetier.com/speedrunners-are-vu

“Super Mario World runners will place items in extremely precise locations so that the X,Y coordinates form #shellcode they can jump to with a dangling reference. Legend of #Zelda: Ocarina of Time players will do heap grooming and write a #function pointer […] so the game “wrong warps” directly to the #end #credit sequence… with nothing more than a #game #controller and a steady #hand”

Zetier · Speedrunners = vulnerability researchersVideo game enthusiasts are developing experience in the cybersecurity industry by accident. Discover how gaming skills can translate into intriguing careers.
#Mario
Public *
Pustam | पुस्तम | পুস্তম🇳🇵

The Fourier Transform is a mathematical operation that transforms a function of time (or space) into a function of frequency. It decomposes a complex signal into its constituent sinusoidal components, each with a specific frequency, amplitude, and phase. This is particularly useful in many fields, such as signal processing, physics, and engineering, because it allows for analysing the frequency characteristics of signals. The Fourier Transform provides a bridge between the time and frequency domains, enabling the analysis and manipulation of signals in more intuitive and computationally efficient ways. The result of applying a Fourier Transform is often represented as a spectrum, showing how much of each frequency is present in the original signal.

\[\Large\boxed{\boxed{\widehat{f}(\xi) = \int_{-\infty}^{\infty} f(x)\ e^{-i 2\pi \xi x}\,\mathrm dx, \quad \forall\xi \in \mathbb{R}.}}\]

Inverse Fourier Transform:
\[\Large\boxed{\boxed{ f(x) = \int_{-\infty}^{\infty} \widehat f(\xi)\ e^{i 2 \pi \xi x}\,\mathrm d\xi,\quad \forall x \in \mathbb R.}}\]

The equation allows us to listen to mp3s today. Digital Music Couldn’t Exist Without the Fourier Transform: bit.ly/22kbNfi

Gizmodo · Digital Music Couldn't Exist Without the Fourier TransformThis is the Fourier Transform. You can thank it for providing the music you stream every day, squeezing down the images you see on the Internet into tiny
#Fourier#FourierTransform#Transform
Public *
Bharath Krishnan

Motivation:

Let \(X\subseteq \mathbb{R}\) and \(Y\subseteq\mathbb{R}\) be arbitrary sets, where we define a function \(f:X\to Y\).

I want a measure of discontinuity which ranges from zero to positive infinity, where

• When the limit points of the graph of \(f\) is continuous almost everywhere, the measure is zero
• When the limit points of graph of \(f\) can be split into functions, where \(n\) of those functions are continuous almost everywhere, the measure is \(n-1\)
• When \(f\) is discrete, the measure is \(+\infty\)
• When \(f\) is "hyper-discontinuous" [1], the measure is \(+\infty\)
• When the graph of \(f\) is dense in the derived set of \(X\times Y\), the measure is \(+\infty\)
• When the measure of discontinuity is between zero and infinity, the more "disconnected" the graph of \(f\), the higher the measure of discontinuity.

Question 1: How do we fix the criteria in the motivation, so they are consistent with eachother?

Question 2: Is there a measure of discontinuity which gives what I want?

Attempt: I tried to answer [2] this using a previous question, but according to users it's needlessly complicated and likely is incorrect. I'm also struggling to explain why this answer [2] has potential.

[1]: math.stackexchange.com/questio

[2]: math.stackexchange.com/a/50252

Mathematics Stack ExchangeDo these "hyper-discontinuous" functions exist?Suppose $\ X\subset \mathbb{R}\ $ and $\ Y\subset \mathbb{R}.$ Definition: A function $\ f: X \to Y\ $ is hyper-discontinuous if for every $\ x\in X,\ \ \exists\ \delta>0,\ \varepsilon>0\ $ s...
#measure#continuity#discontinuity
Public
Philo Sophies

Guest post part 2 by #Torsten #Hesse: "Why the world appears to us. The #Function of #Consciousness."

After the first guest article "Why the #mind-body problem is not a #pseudo-problem" by Torsten Hesse has fortunately met with such a strong response, which led to a very animated exchange of ideas on a high level, Torsten felt compelled to "step it up a notch".

More at: philosophies.de/index.php/2023

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