Discover and read the best of Twitter Threads about #mathematics

Most recents (20)

The #magnetic field is a #fractal field
And as the #electric field is the conjugate to the magnetic field, the electric field is #fractal too.

#Nature is #fractal, because it's the electromagnetic field, that lies at her fundamental energy dynamics
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#Day #Trading #Options

#Basic Concept - options day trading focuses only on the underlying #mathematics. It does not rely on any #financial predictions, company results, or market direction.
A #realistic approach is to take advantage of occasional pricing inefficiencies that arise in the #options market.
These #distortions can be related to #earnings announcements, expiry week, weekend #theta decay, intraday implied #volatility swings, differences between overnight and #intraday volatility, or news and #rumors.
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Contribution of Ancient #Bhartiya in #mathematics.
1-The Half-Chord version of the #Sine Function:
It was developed by the Bhartiya mathematician & astronomer Aryabhata(476-550 CE) .
His works include the Aryabhatiya & the Arya-siddhanta... (1/n)
2- #Trigonometry was invented in India. Trigonometric functions: The trigonometric functions sine & versine originated in Indian astronomy, . They were described in detail by Aryabhata in the late 5th century, but were likely developed earlier in the Siddhantas,. . (2)
astronomical treatises of the 3rd or 4th century.
Later, the 6th-century astronomer Varahamihira discovered a few basic trigonometric formulas and identities, such as sin^2(x) + cos^2(x) = 1. The first use of the idea of ‘sine’ in the way we use it today was .. . (3)
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Daily Bookmarks to GAVNet 5/30/2020-2…
How economists rode maths to become our era’s astrologers | Aeon Essays…
#models #mathematics #ideology #Economics
Coronavirus: Learning How to Dance…
#coronavirus #pandemic
Abstract representations of events arise from mental errors in learning and memory | Nature Communications…
#communications #memory #abstract #events #learning
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Science News - Other Sciences: Mathematics, Social Sciences, Archaeology, Fossils
#archaeology #mathematics #fossils #science #economics
New findings suggest laws of nature 'downright weird,' not as constant as previously thought…
#laws #weird #nature
The Federal Reserve's Coronavirus Crisis Actions, Explained (Part 6) - Notes on the Crises…
#FederalReserve #actions #explained
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John von Neumann's take on #ergodicity economics
In this thread I interpret JvN's prescient analysis on the development of mathematical economics (esp. decision theory) after his death
Source: "The Mathematician" 1947
(see here…)
#EconTwitter #Mathematics
JvN directs the readers' attention to the danger if a mathematical discipline moves farther and farther away from its empirical source or any empirical content at all.
He qualifies this if that researchers with an "exceptionally well-developed taste" could make this a success.
If the distancing from empirics happens, he predicts a fraying of the discipline "into a multitude of insignificant branches" and it "becomes a disorganized mass of details and complexities." Ultimately the discipline faces danger of degeneration due to "abstract inbreeding".
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#Secret of the Universe is #Mathematics

நகைச்சுவை உணர்வுள்ள ஏராளமான படைப்புகளை உருவாக்கியவரைப் பற்றிய சில குறிப்புகள் கொண்ட thread

#NikolaTesla he was born during a Lightning Storm....July 9 &10 (midnight), 1856.
Edison உடன் பணியாற்றிய நபர்.

Steve jobs and Bill Gates ஐப் போல... one is visionary and tech guy and another one is business man and brilliant marketer.

Wireless Internet மற்றும் Smart phone தொழில் நுட்பத்தை 1901 லேயே ஆராய முற்பட்டவர்.
Alternative current,neon lamp,induction motor,remote control a கண்டுபிடிச்சாலும் அவரின் மிகப்பெரிய சாதனை Tesla coil தான்..

Auckland,New Zealand ல் 1998 ஆம் ஆண்டு உருவாக்கப்பட்ட Tesla coil (Eletrum) தான் இதுவரை உலகளவில் பெரியது.
Read 14 tweets
I did some mathematical analysis of the IMHE model. EVEN IF we assume deaths are normally distributed, this model has some serious numerical stability problems.
#Mathematics #COVIDー19
With a (relatively low) 500 points generated N(0,10), the best-fit sigmoid for the data we do have varies wildly during the early phase of an epidemic. No wonder the estimate is jumping so much day-by-day!
Kicking it up to 5000 points generated N(0,10), we once again get a whole lot of jumping about until we approach the middle of the pandemic.
Read 13 tweets
I promised to explain what physicists or quantitative scientists could do to help in the #Covid_19 pandemic. After a week of 18 hour days, some time to explain.

Bottom line: in a country where there is limited testing, you can only see COVID-19 with #mathematics.

Please RT.
Sergei Maslov & I have been using simulations of the SEIR model of epidemics, customized for #COVID-19, to make predictions for local and Chicago hospitals, university and State administrators. Even though there are inevitable uncertainties you can still get important insights.
Last night, IL Gov. J.B. Pritzker ordered a State shelter-in-place. He said it was made after talking to health care experts, mathematicians & looking at the modeling for what will happen without taking this drastic action.…
Read 13 tweets
@johncarlosbaez @duetosymmetry Proof of Irrationality of Euler’s constant (γ) by mathematical induction
Expressed in Gregory coefficients (Gn) series
γ = ∑ |Gn|/n = 1/2 + 1/(12 2) + 1/(24 3) + 19/(720 4) + 3/(160 5) +…
γ = ½ + 1/24 + 1/72 + 19/2880 + 3/800 +...
#Mathematics @wtgowers @LondMathSoc
@johncarlosbaez @duetosymmetry @wtgowers @LondMathSoc ∑ 2 terms = ½ + 1/24 = (24 + 2)/(2 24) = 26/48
∑ 3 terms = 26/48 + 1/72 = (26 72 + 48)/(48 72) = 1920/3456
∑ 4 terms = 1920/3456 + 19/2880 = (1920 2880 + 19 3456)/(3456 2880) = 5595264/9953280

Numerator and denominator are increasing as I add more terms.
@johncarlosbaez @duetosymmetry @wtgowers @LondMathSoc Since the series is infinite, the exact value of γ requires infinitely large numerator and denominator. No 2 integers, no matter how large, will give exact value of γ. Therefore, γ is irrational

This is a great unsolved problem in math! Is there a Breakthrough Prize for it? 😀
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Thread. #Mathematics
This is a series of articles about the work of Indian mathematicians . I link several articles - much of which I cannot understand but they are of value as Indian work and to those who understand the math. One paper per Tweet with link below
Brahmagupta’s propositions on the perpendiculars of cyclic quadrilaterals by Satyanad Kichenassamy…
Brahmagupta’s derivation of the area of a cyclic quadrilateral - by Satyanad Kichenassamy…
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So frustrating to #know the answer to the question of how to formulate that #TheoryOfEverything #scientists say is the biggest unsolved problem in #physics, yet they don't even want to look at it:…

Wave-particle duality a #mystery?
What I've found is rather astonishing:

The #mathematics used by #Maxwell are inconsistent.

He left the magnetic vector potential field [A] undefined and decoupled from the #medium thus creating #MaxwellsHole, which introduced an unwarrented #gauge #freedom in the model...
It is this #gauge #freedom thst led to the #hack known as #Quantum #Madness.

Really, it doesn't take a PhD to figure out that when you believe particles can exist at two places at the same time, you have a mental problem.…
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Book: विकास विमर्श
By Puri Shankaracharya ji

Link to purchase:…
Book: Swastika Ganita
by Puri Shankaracharya ji

Link to purchase:…

#VedicMaths #Mathematics
Book: सार्वभौम सनातन धर्म
The Universal Principles of Sanatana Dharma
by Puri Shankaracharya ji

Link to purchase:…
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Do you think we earn this: 21st Century skills intervention & Technical/Vocational Education Intervention as #NGO in schools?
If yes:
Nominate here:
Use #TeamYowamca as Name of Implementing Organisation
Facebook: O'star Yowamca
Read 104 tweets
Let us see what #Hinduism n #Hindus gave to the world.

A #Thread about #Hindus contribution to form this world better.

Hindu's contribution in any subject is more than any other religion in this world.

1)Let's talk about #Mathematics 1st
i)"0" :- one of the most important inventions of all time. Aryabhata invited the "0" 1st.The concept of zero and its integration into the place-value system also enabled one to write numbers, no matter how large, by using only ten symbols.
2)ii) Decimal System:- Hindus gave Decimal system. This system made the uses of arithmetic in practical inventions much faster and easier.

iii)Numerical Notation:-
As early as 500 BCE, had devised a system of different symbols for every number from one to nine.
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Thread: Another overview amazing #Muslim *female* achievement.

Did you know the first university in the world was built by a Muslim woman approx 1200 years ago?

This is the story of Fatima Al-Fihiri (800–880 CE). #BadassWoman #twitterstorians

2. Daughter of a wealthy businessman, the family moved from Tunisia to Fez, Morocco during the rule of King Idriss II. When both her husband and father died, Fatima and her sister inherited a fortune.

They chose to spend their inheritance on building educational institutions.
3. In 859, Fatima built the Al-Qayrawan #Mosque, decorated in the Andalusian style with Kufic calligraphy (early style) engraved throughout. At 3,000 sq ft, it can fit 22,000 people.

She stacked it with Islamic works (Qur’ans, #Hadith collections, etc).
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.. den Vorstellungen der Ursächlichkeit, Materialität und der durch die Zeit vermittelten Bewegung im Raum! Die Empfindung in der Hand, auch bei verschiedener Berührung und Lage, ist etwas viel zu Einförmiges und an Datis Ärmliches, als dass es möglich wäre, daraus die
..Vorstellung des Raumes, mit seinen drei Dimensionen, und der Einwirkung von Körpern auf einander, nebst den Eigenschaften der #Ausdehnung, #Undurchdringlichkeit, #Kohäsion, #Gestalt, Härte, Weiche, #Ruhe und #Bewegung, kurz, die Grundlage der objektiven Welt, zu konstruieren:..
.. sondern dies ist nur dadurch möglich, dass im Intellekt selbst der Raum als Form der Anschauung, die Zeit als Form der Veränderung, und das Gesetz der Kausalität als Regulator des Eintritts der Veränderungen präformiert seien. Das bereits fertige und aller Erfahrung
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Today is the 124-th #birthday of #German #mathematician Heinz Hopf(1894-1971). By ISBN 3-05-500402-7,page 173, Hopf in 1925 became one of only ten men during the 124 years from 1810-1933 whom the #mathematics faculty of #Berlin gave the grade of 'summa cum laude'..
.. for his doctorate. Hopf's relatively old graduation age of 28.5 years (which is old in mathematics, esp. in Hopf's time) is clearly due to #WorldWarOne: at age 18, Hopf volunteered to serve in the #German army, which he did(as a low-ranking officer) for a full four years..
.., in particular participating in the Battle of #Verdun of 1916,in which he was wounded. While on furlough in 1917, Hopf attended mathematics lectures, in particular by Erhard Schmidt, in his hometown of #Breslau (then still a #German town), which impressed him greatly. During..
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#brexit, #language, #mathematics, #pseudoscience, #rhetoric, #style

Brand-new and remarkable: #today, in a speech before #industry-representatives, chancellor Angela #Merkel used an old-fashioned, and,I think, INAPPROPRIATE,mathematical term to describe the #Brexit discussions..
.. in the #UK.

On 20180925, 9:50 CET, (cf.…), chancellor Merkel said the following: "Wesentlich hängt es natürlich auch davon ab, was Großbritannien denn wirklich möchte. Auch da ist ja die Diskussion nicht so ganz eineindeutig [sic],
und, das muss ich..
.. allerdings sagen: Man kann nicht zum Binnenmarkt gehören, wenn man in EINEM Teil nur zum Binnenmarkt gehören will, aber in drei ANDEREN Teilen nicht zum Binnenmarkt gehört, und da müssen wir verschiedene, äh, vernünftige Wege [ rest drowned out by applause ]."
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#New Traders, Understand #Mathematics Of #Profit In Market Before You Put Hard #Earned Money On Risk.

Expectancy = Success Rate x Reward Risk Ratio

Lets Talk About Expectancy Of Short Term Directional Trading System.

Read On (1/n)
Success Rate = No Of Profitable Tades/ No Of Loss Making Trades

Reward Risk Ratio = Average Profit Per Trade / Average Loss Per Trade

If Success Rate is 0.5 and Reward Risk 2, Then

Expectancy = 2 x 0.5 =1

For Making Profit, Expectancy Should Be Positive Number (2/n)
To Calculate Expectancy, You Need Defined System With Rules To Get Success Rate and Reward Risk. If You Have No System To Take Decisions, You Are Hanging In Thin Air and Will Never No Whether You Will Keep Making Or Loosing Money In Future (3/n)
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