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The next epic Weeqly is here. How @DuklockTweet ditched energy drinks, @TrueCzechCloud slays, and @Kammeto get f***n’ AMPED.
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The next epic Weeqly is here. @Forsen deals with streamsnipers, @HerdynOfficial 's customized headphones, and what @jbzzed really eats.
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The next epic Weeqly is here. Sick bike tricks in GTA, what makes @TrueCzechCloud furious, and a daring commitment from @Skyyart.
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The World's most famous formula is Einstein's E=mc² which says that energy and mass are equivalent. It's the key to nuclear energy: a tiny mass defect Δm between the bound and fragmented nucleus translates into a vast amount of energy Δm×c². [Wiki https://t.co/YjzHG902Kd] #Weeqly
![TamasGorbe's tweet photo. The World's most famous formula is Einstein's E=mc² which says that energy and mass are equivalent. It's the key to nuclear energy: a tiny mass defect Δm between the bound and fragmented nucleus translates into a vast amount of energy Δm×c². [Wiki https://t.co/YjzHG902Kd] #Weeqly https://t.co/ePoAAfM99Q](https://pbs.twimg.com/media/E_o-23iWEAMBj8J.png)
How do magnets form? Why does water freeze? These are very difficult questions. Nevertheless, we can give exact answers/solutions thanks to the Yang-Baxter equation and R-matrix obtained from it. [Wiki https://t.co/cAbZCedKNn] #Weeqly
![TamasGorbe's tweet photo. How do magnets form? Why does water freeze? These are very difficult questions. Nevertheless, we can give exact answers/solutions thanks to the Yang-Baxter equation and R-matrix obtained from it. [Wiki https://t.co/cAbZCedKNn] #Weeqly https://t.co/7UOx8peAwh](https://pbs.twimg.com/media/E_o-ot1XEAQYYNq.png)
A pure tone (sine wave) is characterized by 1 frequency but it's spread in time. A short whistle is localized, but it's a mixture of many frequencies. The uncertainty principle is a similar link between a particle's position and momentum. [Wiki https://t.co/DFhTfHdjfV] #Weeqly
![TamasGorbe's tweet photo. A pure tone (sine wave) is characterized by 1 frequency but it's spread in time. A short whistle is localized, but it's a mixture of many frequencies. The uncertainty principle is a similar link between a particle's position and momentum. [Wiki https://t.co/DFhTfHdjfV] #Weeqly https://t.co/sLzCA2HC67](https://pbs.twimg.com/media/E_o-hZ-XEAIRcik.png)
Everyone learns in physics class that distance = speed × time (s=vt) if v is constant. But what if speed is changing? Can we compute the distance travelled by a car by only watching its speed? Yes, we can, due to the Newton-Leibniz formula. [Wiki https://t.co/io57Lfh2R2] #Weeqly
![TamasGorbe's tweet photo. Everyone learns in physics class that distance = speed × time (s=vt) if v is constant. But what if speed is changing? Can we compute the distance travelled by a car by only watching its speed? Yes, we can, due to the Newton-Leibniz formula. [Wiki https://t.co/io57Lfh2R2] #Weeqly https://t.co/n5RIRg434I](https://pbs.twimg.com/media/E_o-Vb8WYAM42M5.png)
Light travels the quickest path, not the shortest. It's slower in water than in air, so travel time is less if it spends more time in air. This is why light refracts on the surface! Snell's law connects the angles of incidence & the speeds. [Wiki https://t.co/iFojdwHxTy] #Weeqly
![TamasGorbe's tweet photo. Light travels the quickest path, not the shortest. It's slower in water than in air, so travel time is less if it spends more time in air. This is why light refracts on the surface! Snell's law connects the angles of incidence & the speeds. [Wiki https://t.co/iFojdwHxTy] #Weeqly https://t.co/J0a2SyGd7V](https://pbs.twimg.com/media/E_o-OELXsAEEIT_.png)
Minimizing the maximal loss = maximizing the minimal win. This is the minimax theorem, a fundamental result in game theory, which was proved by John von Neumann in 1928. It provides a winning strategy for zero sum games. [Wiki https://t.co/V6vKWM8Vxs] #Weeqly
![TamasGorbe's tweet photo. Minimizing the maximal loss = maximizing the minimal win. This is the minimax theorem, a fundamental result in game theory, which was proved by John von Neumann in 1928. It provides a winning strategy for zero sum games. [Wiki https://t.co/V6vKWM8Vxs] #Weeqly https://t.co/uRFgHkaI2u](https://pbs.twimg.com/media/E_o-FQJWYAA98GA.png)
We'd like to estimate the average human height by measuring 1 million people. What should we do? Take the mean of our data set? But what is the guarantee that there is no better way of approximating the real value? The Cramér-Rao bound. [Wiki https://t.co/DneUijJpgn] #Weeqly
![TamasGorbe's tweet photo. We'd like to estimate the average human height by measuring 1 million people. What should we do? Take the mean of our data set? But what is the guarantee that there is no better way of approximating the real value? The Cramér-Rao bound. [Wiki https://t.co/DneUijJpgn] #Weeqly https://t.co/T41e3pLyYo](https://pbs.twimg.com/media/E_o98QdXEAA4qsd.png)
The sine-Gordon equation describes a twisting elastic string. Its stable/localized solutions are called solitons. They behave similarly to real massive, charged particles. In addition, there are anti-solitons and bound states ("breathers"). [Wiki https://t.co/KG4rIdRu5t] #Weeqly
![TamasGorbe's tweet photo. The sine-Gordon equation describes a twisting elastic string. Its stable/localized solutions are called solitons. They behave similarly to real massive, charged particles. In addition, there are anti-solitons and bound states ("breathers"). [Wiki https://t.co/KG4rIdRu5t] #Weeqly https://t.co/KkY9WsXRLa](https://pbs.twimg.com/media/E_o90bOXoAQMC45.png)
Hamilton's equations reformulate Newton's F=ma (classical mechanics) in such a way that dynamics is governed by not forces, but the total energy H. This perspective was key for developing statistical & quantum physics in early 20th century. [Wiki https://t.co/atNGUBYaxe] #Weeqly
![TamasGorbe's tweet photo. Hamilton's equations reformulate Newton's F=ma (classical mechanics) in such a way that dynamics is governed by not forces, but the total energy H. This perspective was key for developing statistical & quantum physics in early 20th century. [Wiki https://t.co/atNGUBYaxe] #Weeqly https://t.co/AhKxN10ZfQ](https://pbs.twimg.com/media/E_o9p_HWUAMAgJW.png)
The triangle inequality expresses a very simple fact: A walk from A to B via C (along straight lines) is at least as long as walking to B directly. Nonetheless, it has far-reaching consequences such as the twin paradox in special relativity. [Wiki https://t.co/JAdehduZW0] #Weeqly
![TamasGorbe's tweet photo. The triangle inequality expresses a very simple fact: A walk from A to B via C (along straight lines) is at least as long as walking to B directly. Nonetheless, it has far-reaching consequences such as the twin paradox in special relativity. [Wiki https://t.co/JAdehduZW0] #Weeqly https://t.co/8twbeMYT1D](https://pbs.twimg.com/media/E_o9fSkXIAInnhr.png)
Commutation relations like this form the basis of quantum mechanics. This example expresses the connection between position (X) and momentum (P): [X,P]=XP-PX=ih/2π, where h is Planck's constant. It entails Heisenberg's uncertainty principle. [Wiki https://t.co/pgw2TQlLvv] #Weeqly
![TamasGorbe's tweet photo. Commutation relations like this form the basis of quantum mechanics. This example expresses the connection between position (X) and momentum (P): [X,P]=XP-PX=ih/2π, where h is Planck's constant. It entails Heisenberg's uncertainty principle. [Wiki https://t.co/pgw2TQlLvv] #Weeqly https://t.co/hqqzlueJb0](https://pbs.twimg.com/media/E_o9UrsXsAQCKX1.png)
"What does this have to do with anything?" a question mathematicians often get. Boring(?) identities like (x+y)²=x²+2xy+y², (x+y)³=x³+3x²y+3xy²+y³ and the binomial theorem are good examples. Except they describe a law of population genetics! [Wiki https://t.co/tHHioRvNIO] #Weeqly
![TamasGorbe's tweet photo. "What does this have to do with anything?" a question mathematicians often get. Boring(?) identities like (x+y)²=x²+2xy+y², (x+y)³=x³+3x²y+3xy²+y³ and the binomial theorem are good examples. Except they describe a law of population genetics! [Wiki https://t.co/tHHioRvNIO] #Weeqly https://t.co/SoJAh3Bsd6](https://pbs.twimg.com/media/E_o9HUtWUAIQ-zS.png)
The second law of thermodynamics states that the total entropy of an isolated system can never decrease. Therefore (in some sense) it is responsible for the fact that we can distinguish the past from the future, i.e. for the arrow of time. [Wiki https://t.co/V71SMbqNeb] #Weeqly
![TamasGorbe's tweet photo. The second law of thermodynamics states that the total entropy of an isolated system can never decrease. Therefore (in some sense) it is responsible for the fact that we can distinguish the past from the future, i.e. for the arrow of time. [Wiki https://t.co/V71SMbqNeb] #Weeqly https://t.co/IpPj3suyo9](https://pbs.twimg.com/media/E_o85jYWEAASaVX.png)
Can you tell the temperature of the center of a hot plate by touching its rim? Yes, by using Cauchy's integral formula! It's a central result in complex analysis and can also be used to prove the fundamental theorem of algebra. [Wiki https://t.co/ZZejnjsb7D] #Weeqly
![TamasGorbe's tweet photo. Can you tell the temperature of the center of a hot plate by touching its rim? Yes, by using Cauchy's integral formula! It's a central result in complex analysis and can also be used to prove the fundamental theorem of algebra. [Wiki https://t.co/ZZejnjsb7D] #Weeqly https://t.co/JyAF9RrSku](https://pbs.twimg.com/media/E_o8m4vXMAMr59L.png)
A plucked guitar string, a vibrating drumhead, the WiFi signal and the propagation of light itself is described by this equation, the wave equation, in which the parameter c is the propagation speed of the wave. [Wiki https://t.co/l489K1ldKh] #Weeqly
![TamasGorbe's tweet photo. A plucked guitar string, a vibrating drumhead, the WiFi signal and the propagation of light itself is described by this equation, the wave equation, in which the parameter c is the propagation speed of the wave. [Wiki https://t.co/l489K1ldKh] #Weeqly https://t.co/cOevsJUtcA](https://pbs.twimg.com/media/E7fiFQKWQAwzd6U.png)
Nature is full of Fibonacci numbers which come from a very simple recurrence relation. Each term is the sum of the 2 preceding ones starting w/ 0,1. So we get 0,1,1,2,3,5,8,13,... & the ratios of neighbours tend to the golden ratio ϕ≈1,618. [Wiki https://t.co/d0VfVfpwr7] #Weeqly
![TamasGorbe's tweet photo. Nature is full of Fibonacci numbers which come from a very simple recurrence relation. Each term is the sum of the 2 preceding ones starting w/ 0,1. So we get 0,1,1,2,3,5,8,13,... & the ratios of neighbours tend to the golden ratio ϕ≈1,618. [Wiki https://t.co/d0VfVfpwr7] #Weeqly https://t.co/LRL0YevYKm](https://pbs.twimg.com/media/E7fh788WEAE5mrk.png)
What's the shape of a hammock? What about a soap film on a wire-frame ? How to remove noise from a photo? The mathematical formulation of such questions involves the Euler-Lagrange equation, which also lies at the heart of particle physics. [Wiki https://t.co/yYtR2pCS0e] #Weeqly
![TamasGorbe's tweet photo. What's the shape of a hammock? What about a soap film on a wire-frame ? How to remove noise from a photo? The mathematical formulation of such questions involves the Euler-Lagrange equation, which also lies at the heart of particle physics. [Wiki https://t.co/yYtR2pCS0e] #Weeqly https://t.co/EavWZvVuyJ](https://pbs.twimg.com/media/E7fh1fOXMAIHb42.png)
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