#derivative — Public Fediverse posts

Issue 23 of #Fodongo should be here next week. In the meantime, enjoy this #derivative #comic by @jcolag

https://fodongo.ca/coll/LaRana/bonanza/bon_01_01.html

You should make your own La Rana comic or illustration too! You'll get a digital book if you do :) More info: https://fodongo.ca/coll/LaRana/bonanza/bonanza.html

#bonanza #zine #freeculture #larana

Measure And Derivative A Unified Approach by G.E. Shilov; B.L. Gurevich

This volume is intended as a textbook for students of
mathematics and physics, at the graduate or advanced
undergraduate level. It should also be intelligible to
readers with a good background in advanced calculus
and sufficient “mathematical maturity.”
The phrase “unified approach” in the title of the book
refers to the consistent use of the Daniell scheme, which
starts from the concept of an elementary integral defined
(axiomatically) on a family of elementary functions. In
the Introduction we explain in detail why we prefer
this approach to others, in particular to the Lebesgue-
Radon-Frechet approach, which starts from axiomatic
measure theory.

Revised English Edition
Translated and Edited by Richard A. Silverman

You can get the book here and here.

#1966 #derivative #higherMathematics #integral #lebesgueIntegral #LeviSTheorem #mathematics #measureTheory #physics #RiemannIntegral #sovietLiterature #StieltjesIntegral #theoryOfIntegral

#mastoprompt
#derivative
The finance team all said that to live
I should purchase a packaged deriv'tive
By just my blank stare
They guessed I don't care
And started to get quite combative.

The notation df/dx for the derivative was introduced by Leibniz in 1675. After 95 years, the notation f'(x) for the first derivative was used by Joseph Lagrange.

#mathematics #derivative #calculus

In the fall of 1972, when campaigning for a second term in office, 🇺🇸 U.S. President Richard Nixon announced that the rate of increase of inflation was decreasing, which has been noted as "the first time a sitting president used the third derivative to advance his case for reelection."

This means that the "jerk (3rd derivative)" of the price level is negative.

Equivalently, the "jerk" of purchasing power is positive.

In other words, the "acceleration" of inflation is negative.

\[I(t)=\alpha^2\dfrac{\mathrm dP(t)}{\mathrm dt}=-\beta^2\dfrac{\mathrm d\Pi(t)}{\mathrm dt}>0\]

\[\dfrac{\mathrm dI(t)}{\mathrm dt}=\alpha^2\dfrac{\mathrm d^2P(t)}{\mathrm dt^2}=-\beta^2\dfrac{\mathrm d^2\Pi(t)}{\mathrm dt^2}>0\]
\[\dfrac{\mathrm d^2I(t)}{\mathrm dt^2}=\alpha^2\dfrac{\mathrm d^3P(t)}{\mathrm dt^3}=-\beta^2\dfrac{\mathrm d^3\Pi(t)}{\mathrm dt^3}<0\]

where, \(I(t)\), \(P(t)\), and \(\Pi(t)\) are inflation (rate), price level (function), and purchasing power of money (or simply value of money) at time \(t\) respectively. And \(\alpha^2\) and \(\beta^2\) are positive real constants.

Read an article here:
Mathematics Is an Edifice, Not a Toolbox
https://ams.org/notices/199610/page2.pdf

#US #USA #UShistory #USpresident #Nixon #RichardNixon #ThirdDerivative #Derivative #Economics #Economic #EconomicExample #Jerk #Acceleration #Inflation #Deflation #Price #PurchasingPower

My wife was working through finding the derivative of the #exponential #function #exp(x) from first principles.I was made aware that she hadn’t actually seen why the number e=2.7128… was the #base the of the function and that that’s what you need to start with. In fact, that means one must actually start by finding the first differential of a general #logarithm and find #e from there. Once you’ve find the #Derivative of #lln, the #derivative of the #ExponentialFunction is straightforward. (1/2)

One day, one decomposition
A099309: #Numbers n whose k-th arithmetic derivative is nonzero for all k. Complement of A099308

3D graph, threejs - webGL ➡️ https://decompwlj.com/3Dgraph/A099309.html
2D graph, first 500 terms ➡️ https://decompwlj.com/2Dgraph500terms/A099309.html

#decompwlj #maths #mathematics #OEIS #javascript #php #3D #numbers #arithmetic #derivative #nonzero #graph #threejs #webGL

► https://FunHouseRadio.com <-- TUNE IN
#starwars #Disney #meh #mid #scifi #boring #derivative #smirk #unhappy #meme #memes

Declining But Dominant: WBTC Maintains Market Lead Over BTCB, RBTC, LBTC, and Other Derivatives - The Wrapped Bitcoin (WBTC) protocol, initiated by Bitgo in 2019, holds the title o... - https://news.bitcoin.com/declining-but-dominant-wbtc-maintains-market-lead-over-btcb-rbtc-lbtc-and-other-derivatives/ #wrappedbitcoins #cryptocurrency #digitalassets #derivative #marketcap #altcoins #ethereum #/r/btc #crypto #bitgo #btcb #defi #lbtc #wbtc

The Calculus Grapher simulation allows students to explore, examine, and discover connections between the graphs of a function and its integral, first derivative, and second derivative.

https://phet.colorado.edu/en/simulations/calculus-grapher
#Derivative #Integral #math

Just released: Calculus Derivatives and Differentiation Cheat Sheet by CROSSANT

Download it free at http://www.cheatography.com/crossant/cheat-sheets/calculus-derivatives-and-differentiation/?utm_source=mastodon

Here's their description of it: Derivatives rules and common derivatives from Single-Variable Calculus. Most important rules/derivatives are bolded.

@cheatsheets #CheatSheet #CheatSheets #calculus #df #dx #derivative #dy

@CEDO One more reason to quickly draft legislation that would mandate public scrutiny of #AI training models before they are released.

This scrutiny would have to extend to the training data, in order to identify potential #copyright infringement and #derivative works.

Research is great, but public deployment should be a different matter.

@Br3nda
Perhaps once again we will see an election campaign that includes a third #derivative!

We haven’t seen that since Nixon in 1972!

If some certain sauce is an artistic work, it is going to be lost after a few hours after its creation. You say "Yummy!" and destroying a work.

Actually, just an original storage of the work would be lost, but not the very work. Every time a #saucier creates this #sauce again it is a #derivative work. It would be hard to determine the connection between a new sauce and an original, but this is just a technical problem, not #legal.

2/

#derivative : a word formed from another word, by a prefix or suffix, an internal modification, or some other change

- Italian: derivato

- Portuguese: derivada

- Spanish: derivado

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