#derivative

Protyus A. GendherProtyusAGendher
2026-02-08

They used derivatives for rockets.
They used derivatives for bridges.
They used derivatives for stock prices.
They used derivatives for machine learning.

survivorliteracy.com/2026/02/0

2025-12-18

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

2025-11-08

she sells stocks shorted
daily dow derivative
morning markets maxed

#Haiku #Poetry #Writing #WritingCommunity #PoetryCommunity

#MastoPrompt #Derivative
@stevencudahy

2025-11-07
2025-11-07

The #MastoPrompt for Friday 7 November 2025 is:

#derivative

The poem or story can include the prompt word or be about the prompt word.

@ me, if you like, or just include the #MastoPrompt tag (to allow people to follow or filter their feeds), or keep your work to yourself - all the options are good as long as you're writing.

If you're including an image please do include alt-text if you’re able to.

#Writing #SmallPoems #Poetry #Fiction #MicroFiction #SmallStories

2025-11-07

#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.

2025-11-07

The #MastoPrompt for Friday 7 November 2025 is:

#derivative

The poem or story can include the prompt word or be about the prompt word.

@ me, if you like, or just include the #MastoPrompt tag (to allow people to follow or filter their feeds), or keep your work to yourself - all the options are good as long as you're writing.

If you're including an image please do include alt-text if you’re able to.

#Writing #SmallPoems #Poetry #Fiction #MicroFiction #SmallStories

2025-10-17

Bạn còn nhớ đạo hàm là gì không? 🤔 Cùng ôn lại kiến thức toán học cơ bản nhé!

Bài viết này tổng hợp đầy đủ các công thức đạo hàm chi tiết cho:
🔹 Hàm số thường gặp
🔹 Hàm lượng giác
🔹 Hàm mũ và logarit
🔹 Đạo hàm cấp 2

💡 Đặc biệt, còn có gợi ý một bài thơ thú vị giúp bạn ghi nhớ các công thức dễ dàng hơn!

#ToánHọc #ĐạoHàm #CôngThức #GiáoDục #HọcTập #ÔnThi
#Math #Mathematics #Derivative #Calculus #Formulas #Education #StudyTips

vietnamnet.vn/dao-ham-la-gi-ca

2025-05-22

I made a "small" #Shadertoy #GLSL thingy that can generate implicit functions with equal thickness (Thanks for the magic of dual numbers). Link: shadertoy.com/view/wcyGRw

It features a large set of functions:

- Elementary operations
> +, -, *, /
- Exponentials
> exp, log
- Powers and roots
> sqrt, cbrt, pow (TODO)
- Sign related
> step, sgn, ramp, abs
Rounding
> floor, round, ceil
Trigonometry:
> sin, cos, tan, sec, csc, cot,
Hyperbolics:
> sinh, cosh, tanh, sech, csch, coth
Inverse trigonometry:
> asin, acos, atan, asec, acsc, acot
Inverse hyperbolics
> asinh, acosh, atanh, asech, acsch, acoth

It only has some bugs with functions that have poles. For example y=tan(x) produces straight lines at each pole.

#programming #shaders #math #functions #derivative #dualnumbers #realnumbers

Miladiummiladium
2025-02-14

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.

Pustam | पुस्तम | পুস্তম🇳🇵pustam_egr@mathstodon.xyz
2025-01-21

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
ams.org/notices/199610/page2.p

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

Khurram Wadee ✅mkwadee@mastodon.org.uk
2024-12-21

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)

2024-08-20

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

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

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

Decomposition into weight × level + jump of A099309 in 2D (log(weight), log(level))Decomposition into weight × level + jump of A099309 in 3D (threejs - WebGL) (log(weight), log(level), log(jump))
2024-08-14

Estimate the derivative. Drage the dots and check with . Credit to Dr. Jack L. Jackson II. What do you think?
geogebra.org/m/fepzzfxb

Kevin Karhan :verified:kkarhan@infosec.space
2024-07-13

@mhoye I get the criticism but I think most people are angry for the wrong reasons and fail to understand that this won't impact the big, value-removing rentseekers but will rather result in everyone else being criminalized.

  • Cuz if we apply the thinking if claiming an #AI can violate #Copyright, then we'd essentially call all #learning to be #derivative and thus everyone as perpetual debt peon to the publishers of schoolbooks or any material used to learn from...

We"d rather see society taxed by the #Copyrightmafia than #TechBros and #VC's to pay even a single cent to any "#CollectingSociety"...

PhET SimsPhETsims
2024-05-17

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.

phet.colorado.edu/en/simulatio

Kevin Karhan :verified:kkarhan@infosec.space
2024-02-24

@jeffowski what if I told you that almost all #art is #derivative?

I mean, we all know that technical issues have very finite solutions...

But #EmilyHowell as a #bot is older than most #CryptoBros that fanboy "#AiArt" like as if it can be art...
youtube.com/watch?v=7Pq-S557XQ

felixreda.eu/2021/07/github-co

2024-01-23

Excellent news. Federal appeals court says in Boston that the case must be heard! Great detail & quotes, explaining the specifics of the argument which strips the sellers of protections since they knew/ planned to flood that market.
#appeals #court #ruling #gun #violence #manufacturer #seller #flood #Mexican #drug #cartel #weapons #government #sue #suing #Boston #pistol #rifle #retailer #marketer #proximate #causation #derivative #judge #district #court #first #circuit universalhub.com/2024/court-re

2023-10-31

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