Trapezoidal Rule on Normal Distribution (1 of 2: Reviewing the formula)

[@mukunzihusna1204]

I love that this is the current topic we are on in school and you posted about it 🥰🥰

[@Smokyjohnson1983]

I am a complete buffoon when it comes to maths. As long as my team has a bigger number next to it on match day, I’m happy. That’s about as good at maths as I’ve ever been. Thanks to you though, Mr Woo, I have been able to explain to my other half why division by zero gives you that answer.

[@matemaatika-math]

How are your halves distributed? Is it that exactly between your first and other half, one has to be mean?

[@Smokyjohnson1983]

@@matemaatika-math 🤣 She’s definitely the brains and the beauty... I guess that makes me the mean

[@rmcgraw7943]

Great teacher

[@finnwilliams3945]

I appreciate u Eddie 🙏

[@matemaatika-math]

@THE PERFECTION CLASSES How is it related to the issue?

[@MukeshVISH-vc8go]

Thanks Eddie❤

[@David_Lloyd-Jones]

Note that the normal distribution is approached by the concatenation of near-normal arithmetical distributions. The Central Limit Theorem is a theorem about mathematics, not about the real world. Events in the real world do not approach the normal distribution. Their distributions are fractal as much as they approach power-law distributions. Google up Zipf's Law. Avoid people who tell you that central tendency in arithmetic reflects central tendency in the real world. The economy, the important field in which these fairy tales are told, is fat-tailed and heteroscedastic. It falls off the edge every now and then and needs to be put back together.

[@peacecop]

Do you have something better in mind how to explain the real world?

[@David_Lloyd-Jones]

@@peacecop No, I don't have a canned list of answers. For economic series, I think it needs research and there is a pile of PhDs to be earned out there, a generation of work to be done. The work on fractals and fractal dimensionality, some of it dating back 120 years to Mandelbrot and *his* teachers 120 years ago, will be one productive direction. The power laws, of which Zipf's Law is one, are another. I'm not sure that any of these "explain" the world; isn't the aim simply to report it accurately? Be that as it may, in economics at least the aim is surely to craft sensible policy. You can't do that if you operate under a delusional set of assumptions about the reality for which you are making policy.

[@matemaatika-math]

@@David_Lloyd-Jones Aren't any policies irrelevant to the real world as they are human-made?

[@David_Lloyd-Jones]

@@matemaatika-math Hunh? Wanna tell us what your unstated premise is there? I have no idea what connection of thread of reasoning you have operating there.

[@matemaatika-math]

@@David_Lloyd-Jones I'm following your thoughts. As far as I understand them, you wanna tell us that anything human-made is imperfect and therefore, not perfectly explainable using math. Whatever policies humans made, they are weaker than laws as nature always wins on a contradiction. A lot of economics isn't natural, therefore statistics in economics isn't precise.

[@mohitjha2686]

How (b-a)/n gives height? (b-a)/n should give the width of trapezium right?

[@hnng6752]

are you planning to make one about binomail distribution too?

[@IISH4RKZzII]

Part 2 please

[@basharathhussain858]

I had two questions that i wanna ask (its math, not personal questions) but the questions are too long and a bit theoretical to type and even if i do, its not likely that you will read my comment.

[@matemaatika-math]

Well, he wouldn't read if they wouldn't be personal. However, here are others who can discuss.

[@basharathhussain858]

@@matemaatika-math It's been so long i forgot the question now lol

[@peacecop]

@@basharathhussain858 What do you learn from that?

[@Gome.o]

I'm lost. Where do I start as someone who wants to get into Physics but only graduated with rudimentary high school level maths?

[@alrulz1908]

This is predominantly a topic in statistics. You'd be better off looking at calculus for physics

[@Gome.o]

@@alrulz1908 thanks for the guidance my guy!

[@navjotsingh2251]

Dimensional analysis, linear algebra, calculus and computer programming. You can solve almost any math/simulation in physics with those skills.

[@mduduzisiyanda8210]

can someone help me solve this integration of (arctan(x))^2 from 0 to 1 ?

[@kilian8250]

That’s nasty... maybe try using the Leibniz rule for integration? Set something like S(t)=\int_0^1 arctan(tx)^2. Maybe you can go from there?

[@remischmitt9308]

Hmmm.... h is called the WIDTH of the trapezium in the rest of the world since it's HEIGHT is f(z).

[@srinivasanthumuluri7444]

ur grt

[@artsyannie7007]

Where my fellow nerds at

[@david._.6816]

I guess school is going on in Australia

[@hossamsa4205]

🕊🌹

[@mcdude-px4ph]

@THE PERFECTION CLASSES I hate Self-Promotion, stop

[@OriginalSuschi]

Why am I getting Error Function vibes here