Logical calculi

Fluent calculus

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).

Video thumbnail

Calculus 2 Lecture 8.1: Solving First Order Differential Equations By Separation of Variables

Calculus 2 Lecture 8.1: Solving First Order Differential Equations By Separation of Variables

From playlist Calculus 2 (Full Length Videos)

Video thumbnail

Calculus 1 Lecture 4.2: Integration by Substitution

Calculus 1 Lecture 4.2: Integration by Substitution

From playlist Calculus 1 (Full Length Videos)

Video thumbnail

Calculus 2 Lecture 6.3: Derivatives and Integrals of Exponential Functions

Calculus 2 Lecture 6.3: Derivatives and Integrals of Exponential Functions

From playlist Calculus 2 (Full Length Videos)

Video thumbnail

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

From playlist Calculus

Video thumbnail

Calculus 2 Lecture 9.9: Approximation of Functions by Taylor Polynomials

Calculus 2 Lecture 9.9: Approximation of Functions by Taylor Polynomials

From playlist Calculus 2 (Full Length Videos)

Video thumbnail

Newton's Infinitesimal Calculus (4): Calculating Fluxions/Derivatives

In this video, we finally do some differential calculus using the infinitesimal concept to find equations involving the fluxions (derivatives). We also derive the basic rules for calculating fluxions/derivatives: sum, product, and quotient rules. In the text, what we cover here is "probl

From playlist Math

Video thumbnail

Summary of Exponential, Logarithmic & Trigonometric Derivatives

More resources available at www.misterwootube.com

From playlist Differential Calculus

Video thumbnail

Calculus 1 Lecture 4.1: An Introduction to the Indefinite Integral

Calculus 1 Lecture 4.1: An Introduction to the Indefinite Integral

From playlist Calculus 1 (Full Length Videos)

Video thumbnail

RubyConf 2016 - Learning Fluency by Sara Simon

RubyConf 2016 - Learning Fluency by Sara Simon All languages work in formulaic ways. Cracking these formulas takes discipline, time, creativity, trial and error. But is there an overarching formula to crack these formulas? Is there a designated set of steps we can take to guarantee fluenc

From playlist RubyConf 2016

Video thumbnail

Newton's Infinitesimal Calculus (5): Differential Equations and Series for ln(x), arctan(x)

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

From playlist Math

Video thumbnail

The Video EVERY Math Student Should Watch

In this video I interview a wonderful mathematician and author. He discusses learning to write proofs, advice for math students, career advice, his research area, why he became a mathematician, his new book, etc. His name is Thomas Garrity and he has just written a new book: https://amzn.

From playlist Interviews

Video thumbnail

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

From playlist Math

Video thumbnail

History of Calculus - Animated

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

Video thumbnail

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

Video thumbnail

Newton's Infinitesimal Calculus (3): Algebraic Curves and Puiseux Series

We talk about how Newton is able to work with algebraic curves (polynomials in the variables x and y set equal to 0, which he calls "affected equations") by expanding the dependent variable as a power series in the independent variable. Apparently, the technical name for this power series

From playlist Math

Video thumbnail

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

Video thumbnail

Fluent in Any language in 6 months

https://memorycourse.brainathlete.com/memorytips/?WickedSource=Youtube&WickedID=fluent-in-any-language-6-months Get memory training tips at link above now These are my 10 Steps to Become Fluent in Any Language in 6 Months 1. Learn the 625 key words to any language. If you master and lea

From playlist How to Study

Video thumbnail

Calculus 2 Lecture 7.4: Integration By Partial Fractions

Calculus 2 Lecture 7.4: Integration By Partial Fractions

From playlist Calculus 2 (Full Length Videos)

Related pages

Frame problem | Event calculus | Situation calculus | First-order logic | Fluent (artificial intelligence)