The fluent calculus is a formalism for expressing dynamical domains in first-order logic. It is a variant of the situation calculus; the main difference is that situations are considered representations of states. A binary function symbol is used to concatenate the terms that represent facts that hold in a situation. For example, that the box is on the table in the situation is represented by the formula . The frame problem is solved by asserting that the situation after the execution of an action is identical to the one before but for the conditions changed by the action. For example, the action of moving the box from the table to the floor is formalized as: This formula states that the state after the move is added the term and removed the term . Axioms specifying that is commutative and non-idempotent are necessary for such axioms to work. (Wikipedia).
Calculus 2 Lecture 8.1: Solving First Order Differential Equations By Separation of Variables
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From playlist Calculus 2 (Full Length Videos)
Calculus 1 Lecture 4.2: Integration by Substitution
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From playlist Calculus 1 (Full Length Videos)
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From playlist Calculus 2 (Full Length Videos)
Verifying Particular Solutions to Differential Equations Calculus 1 AB
I reintroduce Differential Equations including the definition of a differential equations, the order of differential equations, the difference between particular solutions and general solutions, and the number of arbitrary constants you can expect when solving these equations. I then work
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From playlist Calculus 2 (Full Length Videos)
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From playlist Calculus 1 (Full Length Videos)
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From playlist Applications of Calculus
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We solve some easy differential equations involving power series, or in Newton's vocabulary, we find the fluents given the fluxions. Along the way, we will derive the power series representation for the natural logarithm and arctangent functions. We will also discover an infinite series fo
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From playlist Interviews
Newton's Infinitesimal Calculus (1): Reduction by Division/ Long Division
We show how Newton first outlines his method of converting quantities which are not obviously power series into power series form by using long division and root extraction. This technique paves the way for a universal method of doing calculus on functions. In this video series, we will d
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Everything you need to know about calculus... in 7 minutes. Remember to subscribe and hit that bell. Follow me on Quora: https://www.quora.com/profile/Ajay-Halthor REFERENCES [1] The birth of Calculus (1986): https://www.youtube.com/watch?v=ObPg3ki9GOI [2] Brief History of Calculus: ht
From playlist Comedy & Concept
Worked example: coefficient in Taylor polynomial | Series | AP Calculus BC | Khan Academy
Finding the coefficient of the term containing (x+2)_ in the Taylor polynomial centered at x=-2 of x_-x_. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/ap-calculus-bc/bc-series/bc-taylor-series/e/finding-taylor-series?utm_source=YT&utm_medium
From playlist Series | AP Calculus BC | Khan Academy
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From playlist Math
Calculus for Beginners full course | Calculus for Machine learning
Calculus, originally called infinitesimal calculus or "the calculus of infinitesimals", is the mathematical study of continuous change, in the same way that geometry is the study of shape and algebra is the study of generalizations of arithmetic operations. This course is for those who wan
From playlist Calculus
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Calculus 2 Lecture 7.4: Integration By Partial Fractions
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From playlist Calculus 2 (Full Length Videos)