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Study.com is an online distance learning portal that provides over 70,000 lessons in fifteen subjects (including algebra, calculus, chemistry, macro- and microeconomics, and physics) aligned with many popular textbooks. Resources include not only videos but study tools, guides, and more.
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One might have thought it was already exciting enough for our Physics Project to be showing a path to a fundamental theory of physics and a fundamental description of how our physical universe works. Despite this, however, fundamental physics always seemed to resist its advance. The Path to a New Paradigm.
It’s yet another surprising construct that’s arisen from our Physics Project. In the language of our Physics Project, it’s the ultimate limit of all rulial multiway systems. And here is a rulial multiway system made from hypergraph rewriting of the kind used in our Physics Project , using all rules with signature : ✕.
For example, as transportation networks play a key role in moving goods and materials from suppliers to customers, Zach hopes to integrate models of global transportation networks into his models of global supply chain networks. There are many branches of maths, including algebra, geometry, calculus and statistics.
The history of physics might make one think that numbers would be a necessary part of the structure of any fundamental theory of our physical universe. But the models of physics suggested by our Physics Project have no intrinsic reference to numbers. We discussed above the example of fundamental physics.
One might have thought it was already exciting enough for our Physics Project to be showing a path to a fundamental theory of physics and a fundamental description of how our physical universe works. Despite this, however, fundamental physics always seemed to resist its advance. The Path to a New Paradigm.
Even back in Version 1.0 , when the documentation was a physical book, there were “See Also’s” between functions: And by now there’s a complicated network of such See Also’s: But that’s just the network of how functions point to functions. But what if we ask a question where the answer is some algebraic expression? And in Version 13.3
Any integral of an algebraic function can in principle be done in terms of our general DifferentialRoot objects. Turning from calculus to algebra, we’ve added the function PolynomialSumOfSquaresList that provides a kind of “certificate of positivity” for a multivariate polynomial. And a third of a century later—in Version 13.0—we’re
I had begun my career in the 1970s as a teenager studying the frontiers of existing physics. And at first I couldn’t see how computational rules could connect to what is known in physics. But I didn’t stop thinking “one day I need to get back to my physics project”. But now with the Physics Project I was doing this.
Virtual blocks also provide a safe and mess-free alternative to traditional physical blocks. Instead of just seeing numbers on a page, you can physically see and touch the bars, which helps to reinforce the concept of fractions. These tiles are a powerful tool for understanding and solving algebraic equations.
Indeed, so confident was he of his programming prowess that he became convinced that he should in effect be able to write a program for the universe—and make all of physics into a programming problem. It didn’t help that his knowledge of physics was at best spotty (and, for example, I don’t think he ever really learned calculus).
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