Has anyone figured out a way to apply a given function to an element a given number of times ?

say

instead of doing f(f(f(f(x) you could have some function C( f, x, n) which applies f to x an n number of times

or even better still, a function that applies a number of functions in a list to an element like X(F,x) where F=[f,f,g,f,g] which would be f(f(g(f(g(x)))))

I've been suffering with full-blown hypothyroidism for around 6 months now. Prior to my experiment with the ketogenic diet, I had no detectable symptoms of hypothyroidism, although a blood test from December of last year revealed that I had a TSH of 4.5, which might've suggested that I was suffering from a dormant form of hypothyroidism all along that simply hadn't manifested itself until I tried Keto.

Anyway, I've always had a very difficult time attaining favorable body compositions. I work out constantly, eat a nutritious diet, sleep great... all of the above. My testosterone has also never been a problem either. Until my thyroid crisis my testosterone hovered around the mid 800s. It's now relatively lower, but it still shouldn't be a limiting factor in attaining more muscle mass and dropping fat.

I've just began treatment for hypothyroidism (25 mcg Levo) and am wondering what the relationship is like between body composition, agility to gain muscle and lose fat, and thyroid function. Is it possible that once I attain proper thyroid function through medication that I might finally be able to see changes in body composition?

Hi guys, first time posting here and regrettably it is a question rather than a picture or GIF! I'm trying to compose ShearX and ShearY so that a square deforms so that the bottom right corner is always on the mouse pointer. I looked at the wiki page for shear matrix composition and attempted to replicate what was on there but I am not getting the right result. Would anyone be able to help? Here's a link to the code: https://editor.p5js.org/czartacus/sketches/2RkAaSRDv

I am trying to refactor some components from Vue 2 to Vue 3. I am trying to replace mixin functions with composition functions. But I have some questions. Is it possible to define props and emits within a composition function? or is it only possible to do it within a component? To give a simplified example:

export default {
  data () {
    return {
      list: [],
    }
  },
  created () {
    makeRequest.get('/blablabla').then(response => {
      this.list = response.data
    })
  },
  watch: {
    list: {
      handler(newList) {
        this.$emit('updateCount', newList.length)
      },
      deep: true
    }
  }
}

Anyone knows how could I turn this mixin into a composition function? I know I can define list as ref, and make the request without "created". My problem is how I can emit an event. import defineEmit doesn't seem to work.

Just did a cursory search and took the first result from "protein timing" (key words) and systematic reviews for study design on PubMed.gov

Full-text: academic.oup.com/jn/article/150/6/1443/5814069

Introduction

> Higher total protein intake (1.2–1.5 g · kg^(−1) · d^(−1)) is proposed to help preserve lean body mass (LBM) and improve body composition during weight loss in adults (1–4). Resistance exercise training, in combination with dietary protein supplementation, has been promoted as an effective approach to attenuate the loss in muscle mass with age (3). However, disagreements still exist regarding protein supplementation – some of the issues are due to the type of exercise training, baseline protein consumption, and timing of protein intake.

Methods

https://preview.redd.it/zgjclskyyex71.png?width=1358&format=png&auto=webp&s=17257b3fb6c1109cf655b04a2dce02f7fdcc985c

https://preview.redd.it/jxnqqc02zex71.png?width=1013&format=png&auto=webp&s=5a1b64fd720bfd0d86d44ccc1f45a77f546fc8c3

Results

FIGURE 1 Forest plots showing the effect of protein supplementation compared with control on total lean body mass in adults (n = 512, range of mean age 19.6–42 y)

(A), older adults (n = 696, range of mean age 55–81 y)

(B), and obese adults (n = 216, range of mean BMI 30–50 kg ·m–2)

(C). Chi2, chi-squared test; Df, degrees of freedom; EX, exercise; I2, Higgins’s inconsistency statistic; IV, inverse variance; Tau2, estimate of between-study variance.

---

https://preview.redd.it/iv2scdsrzex71.png?width=960&format=png&auto=webp&s=16b30b8d2c5c881549eecb1fbbde4dd15cfcd1c9

https://preview.redd.it/0og6k03xzex71.png?width=964&format=png&auto=webp&s=05af0002059cf1267f8af2278b79511e21f37f6a

Conducted sensitivity analyse

f(x) = sqrt (x+5) and g(x) = x^2

(gof)(x) = (sqrt(x+5))^2 = x+5

So we want to find the domain of the composition function (gof)(x)

Most students said that is is all real numbers since it is x+5. However, I told them the composition of function involves you looking at the domain of f and the domain of g. Students were confused. I did not know how to explain it better. This means I did not understand how to obtain the domain of a composition function welll. Is there a better way to explain the domain that is easy for my kids? Thanks!

1. The number of x-values fro which H(x)=f(x)
2. The number of P(x)=g(h(12)) if p(x)=-2|x+3|

I just don't understand how to do these problems. I've talked to my teacher and it only got more confusing. If someone could explain this to me that would be great!

Graph for g(c) X. Y -4. -5 -3. -2 -1. 0 2. 4 4. 5 6. -2

Equation for h(x) H(x)=sqrt(x+4)+2

I have been practicing a lot of piecewise composition functions lately and have been sketching out my results in my notebook, but I'm never really sure I get the right sketches. Is there some site that can graph a composition of piecewise functions? and if so, how would I go about doing that? I know WolframAlpha knows piecewise functions and compositions of functions but for some reason, it doesn't work for me there. I also know Symbolab graphing calculator can graph piecewise functions but I can't get it to graph compositions.

Thanks in advance.

https://imgur.com/a/pRyz7qh

First sentence says "Determine the composition of the functions" Second one says "find the inverse functions"

I'm completely lost.

Is there any particular reason to declare functions with arrow syntax instead of the "function" keyword when using the composition API in Vue 3?

I've noticed the examples of the documentation use arrow functions.

I usually only use arrow functions for callbacks. I admit it's purely cosmetic, I just like to see a function declared with the keyword "function". Also declaring all the functions at end of the code, after calling them, is sometime convenient.

I've been suffering with full-blown hypothyroidism for around 6 months now. Prior to my experiment with the ketogenic diet, I had no detectable symptoms of hypothyroidism, although a blood test from December of last year revealed that I had a TSH of 4.5, which might've suggested that I was suffering from a dormant form of hypothyroidism all along that simply hadn't manifested itself until I tried Keto.

Anyway, I've always had a very difficult time attaining favorable body compositions. I work out constantly, eat a nutritious diet, sleep great... all of the above. My testosterone has also never been a problem either. Until my thyroid crisis my testosterone hovered around the mid 800s. It's now relatively lower, but it still shouldn't be a limiting factor in attaining more muscle mass and dropping fat.

I've just began treatment for hypothyroidism (25 mcg Levo) and am wondering what the relationship is like between body composition, agility to gain muscle and lose fat, and thyroid function. Is it possible that once I attain proper thyroid function through medication that I might finally be able to see changes in body composition?