♦ Give students math tasks in a context so they must understand the meaning of the numbers, not just how to compute. Pose one complex word problem to your students each day and ask them to grapple with the problem for just 8 minutes. Then provide time to debrief and discuss the math ...
Forming a subsurface image from recorded seismic data has truly become a mathematical physicist's delight. Today, virtually every seismic imaging module is based on someone's favorite very complex coupled first-order or second-order partial-differential equation or equations. To the not-so-...
For example, when students are required to explain how they get to a solution of a complex problem or to describe the ideas behind a formul a (公式), they are actually using a way of critical thinking (批判性思维).You may never need to use the quadratic equation (二次方程) in your ...
We start from the last equation and look for a polynomial solution for φ(t). As we will see shortly, a polynomial solution will lead to a truncation of the exchange diagram to finitely many D-functions. We find φ(t) = − 2aδ(δ − d (δ − 2)(δ − + 1) d + 3)...
Because π is irrational, it has an infinite number of digits in its decimal representation, and does not settle into an infinitely repeating pattern of digits.
For very complex loops you can also use two pumps in series. This has the added benefit of keeping your system running if one of the pumps dies, avoiding overheating and shutdown. The need to actually run TWO SEPARATE LOOPS (one for the GPU and one for the CPU) is pure money waste ...
It's too complex to work with intrinsic function, load, set, only cause he don't allowed casting float [4] to __m128 :/ "error : argument of type "float" is incompatible with parameter of type "__m128" "error : a value of type "__m128" cannot be assigned to an enti...
EXAMPLE 2. Let c0 be the space of all complex sequences ξ = (ξk)k∈N convergent to 0, equipped with the usual supremum norm ξ∞ = sup |ξk|. k∈N For each n ∈ N, let en be the element of c0 such that 1 if k = n; (en)k = 0 otherwise. Every ξ = (ξk)k∈N...
https://www.youtube.com/watch?v=uVKMY-WTrVo Welch Labs Posters: https://www.welchlabs.com/resources Huge thanks to Grant Sanderson for a quick manim crash course - I used manim for some of the more complex animations. Schrodinger equation numerical simulations used for animations were ...
Is it the right time to actually try doing this project? Maybe one should wait until computers are bigger and faster. Or certain areas of mathematics have advanced further. Or some more issues in physics have been clarified. I’m not sure. But nothing I have seen suggests that there are ...