Math, differential equations.

Generate images from LaTeX equations

And that's why the equations look so simple.

Whoa, dude. Check out those killer equations. Sweet.

Do you know where these equations come from?

The augmented equations, today known as the Maxwell equations, described a unified theory of electricity and magnetism. The new equations showed that light is a moving, self renewing disturbance in electrical and magnetic fields, and they predicted that new kinds of disturbances are possible.

Create and edit scientific formulas and equations by using Math.

We're talking about books on hyper geometric partial differential equations.

We first captured the dynamics with a set of differential equations.

We make it come alive with equations, a lot of mathematics.

See, normally in school, you do things like solve quadratic equations.

Maxwell's equations are of course symmetrical under rotations of all of space.

We've just abstracted what the retina's doing with a set of equations.

It can be used for calculating mathematical equations of all different types.

In the 1860 s, James Clerk Maxwell assembled the equations for electricity and magnetism, as they were then known, and discovered an inconsistency. He repaired the inconsistency by adding new terms to the equations.

And those symmetries, then, make the equations even shorter, and even prettier, therefore.

Look at the world. You don't see equations carved on to the mountainsides.

So what it's doing is, it's replacing the retinal circuitry, really the guts of the retinal circuitry, with a set of equations, a set of equations that we can implement on a chip. So it's just math.

And so, in a way, the equations are serving as sort of a codebook. An image comes in, goes through the set of equations, and out comes streams of electrical pulses, just like a normal retina would produce.

We have the only cookbook in the world that has partial differential equations in it.

Everything comes out of a point you have infinite density. And all the equations break down.

We then manipulate these equations with the help of control theory to create algorithms that stabilize the quad.

We live in a society that completely tends to valorize symbolic forms of representation algebraic representations, equations, codes.

And, in fact, the equations that make neurons into electrical generators were discovered by two Cambridge Nobel Laureates.

There literally are only a handful of equations that you need to simulate the activity of the neocortex.

Now, this simple equation, even for those of you who don't like equations, is something that you're quite used to.

After decades indeed, centuries of employing such tricks, physicists have forgotten that they are modeling phenomena, not necessarily uncovering Divine Truth. For instance, we can easily write down the equations for a ball on a swinging spring, but if we stretch the spring enough and swing the ball hard enough, we can t solve those equations.

There's a new notation in the 19th century that expressed this, and if you use that notation, the equations get a lot simpler.

Then Einstein, with his special theory of relativity, looked at a whole set of symmetries of Maxwell's equations, which are called special relativity.

The density of matter is finite, and we have a chance of a consistent set of equations that can describe the whole process.

Actually, for the next 18 minutes I'm going to do the best I can to describe the beauty of particle physics without equations.

You see above, at the top, a long list of equations with three components for the three directions of space x, y and z.

Equations were derived, graphs were produced, and the net result is that we find that the bubble bursts faster and faster with each passing year.

Finally, you can study the equations, and show that it works only in a universe that has 10 dimensions of space and one dimension of time.

But Chen Ning Yang, called by us Frank Yang and Bob Mills put forward, 50 years ago, this generalization of Maxwell's equations, with a new symmetry.

So Einstein told a story and followed his stories and came up with theories and came up with theories and then came up with his equations.

I found out that advances in science rarely come upstream from an ability to stand at a blackboard and conjure images from unfolding mathematical propositions and equations.

We have discovered that we can get a much simpler set of equations for fundamental physics by supposing that what we ordinarily perceive as empty space is actually a medium. We have observed the effects of the water that we use to simplify our equations it slows down particles, and makes them heavy but we do not know what it is made out of.

First, there were the laws like Maxwell's equations and general relativity that determined the evolution of the universe, given its state over all of space at one time.

I like to imagine Schwarzschild in the war in the trenches calculating ballistic trajectories for cannon fire, and then, in between, calculating Einstein's equations as you do in the trenches.

So he imagined that the world had four dimensions of space, not three, and imagined that electromagnetism was warps and curves in that fourth dimension. Now here's the thing when he wrote down the equations describing warps and curves in a universe with four space dimensions, not three, he found the old equations that Einstein had already derived in three dimensions those were for gravity but he found one more equation because of the one more dimension.

Armed with a sense of humor and laypeople's terms, Nobel winner Murray Gell Mann drops some knowledge on TEDsters about particle physics, asking questions like, Are elegant equations more likely to be right than inelegant ones?

Our current understanding of physics is powerful and accurate, as far as it goes, but it is not as beautiful and coherent as it should be. We have separate equations for four forces strong, weak, electromagnetic, and gravitational.

Just a handful of basic principles generates an astonishing wealth of consequences everything in the physical world! You can write the equations of the core theories of physics known as the standard model quite comfortably on a T shirt.

Certainly, it would not be viewed favorably in considering a candidate for tenure or a promotion. Since it does not include equations or statistical tables, they would argue, it is not serious work that is worthy of scholarly attention.