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How many measurements do you need to find the magnetic field? | Notes
https://eichenlaub.wordpress.com/2011/05/13/how-many-measurements-do-you-need-to-find-the-magnetic-field
How many measurements do you need to find the magnetic field? How many measurements do you need to find the magnetic field? May 13, 2011. To measure the electric field at a point, put a stationary charge there and measure the force on it. To measure the magnetic field, the charge has to be moving. That way we can measure the field through the Lorentz force law. At first blush, you might reasonably think the answer is just one, because if we write out the force law in components we get (assuming q=1).
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View all posts by Mark Eichenlaub. Why is the dimension of a vector space well-defined? June 17, 2013. A basis for a vector space is a set of vectors that are independent and span the space. The dimension of a vector space is the length of any basis, but why are all bases the same length? Imagine two …. Read more ›. Ernest Lawrence’s estimate for a linear accelerator. April 28, 2013. Read more ›. The Making of the Atomic Bomb. Algebra of Pythagorean Triples. September 17, 2011. Read more ›. May 13, 2011.
Algebra of Pythagorean Triples | Notes
https://eichenlaub.wordpress.com/2011/09/17/algebra-of-pythagorean-triples
Algebra of Pythagorean Triples. Algebra of Pythagorean Triples. September 17, 2011. I recently heard that any interesting Pythagorean triple can be written as. All the variables are non-negative integers. “Interesting” means that. Have no common factors. By simple substitution, you can show that indeed. So by choosing arbitrary. We can create Pythagorean triples. Does it hold that any Pythagorean triple can be written this way? Yes Here’s why:. First, note that. Cannot both be odd, because if they were.
Why is the dimension of a vector space well-defined? | Notes
https://eichenlaub.wordpress.com/2013/06/17/why-is-the-dimension-of-a-vector-space-well-defined
Why is the dimension of a vector space well-defined? Why is the dimension of a vector space well-defined? June 17, 2013. A basis for a vector space is a set of vectors that are independent and span the space. The dimension of a vector space is the length of any basis, but why are all bases the same length? Imagine two bases,. My initial thought was to write down some equation for the. In terms of the. And show that the. Are dependent, a contradiction, and therefore that we must have. For example, maybe.
Ernest Lawrence’s estimate for a linear accelerator | Notes
https://eichenlaub.wordpress.com/2013/04/28/ernest-lawrences-estimate-for-a-linear-accelerator
Ernest Lawrence’s estimate for a linear accelerator. Ernest Lawrence’s estimate for a linear accelerator. April 28, 2013. The ionization energy is around 10eV, while the distance between molecules is about 10 times their size (hence air is 1000 times less dense than water), for a distance of perhaps 3nm. That gives 3*10 9 V/m, a factor of 1000 too high! I think there are a few possible factors here:. So I’ll have to do more research on how people were accelerating particles earlier on. An electrical-engi...
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Notes
Why is the dimension of a vector space well-defined? June 17, 2013. A basis for a vector space is a set of vectors that are independent and span the space. The dimension of a vector space is the length of any basis, but why are all bases the same length? Imagine two bases,. My initial thought was to write down some equation for the. In terms of the. And show that the. Are dependent, a contradiction, and therefore that we must have. Linear Algebra Done Right. And throw it into the list of. Basis Now we it...
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