Logical calculi

Calculus of structures

The calculus of structures is a proof calculus with deep inference for studying the structural proof theory of noncommutative logic. The calculus has since been applied to study linear logic, classical logic, modal logic, and process calculi, and many benefits are claimed to follow in these investigations from the way in which deep inference is made available in the calculus. (Wikipedia).

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Algebraic Structures: Groups, Rings, and Fields

This video covers the definitions for some basic algebraic structures, including groups and rings. I give examples of each and discuss how to verify the properties for each type of structure.

From playlist Abstract Algebra

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An introduction to the Tropical calculus | Data Structures in Mathematics Math Foundations 158

We give a short informal introduction to the Tropical calculus, which for us is a novel way of working with the algebra of sets and multisets. This involves defining rather unusual notions of addition and multiplication-- coming from union and addition respectively. **********************

From playlist Math Foundations

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Data structures: Introduction to Trees

See complete series on data structures here: http://www.youtube.com/playlist?list=PL2_aWCzGMAwI3W_JlcBbtYTwiQSsOTa6P In this lesson, we have described tree data structure as a logical model in computer science. We have briefly discussed tree as a non-linear hierarchical data structure, i

From playlist Data structures

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2 Construction of a Matrix-YouTube sharing.mov

This video shows you how a matrix is constructed from a set of linear equations. It helps you understand where the various elements in a matrix comes from.

From playlist Linear Algebra

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Discrete Structures, Oct 20: Counting

Combinations, Permutations, Pigeonhole Principle

From playlist Discrete Structures

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Sets and other data structures | Data Structures in Mathematics Math Foundations 151

In mathematics we often want to organize objects. Sets are not the only way of doing this: there are other data types that are also useful and that can be considered together with set theory. In particular when we group objects together, there are two fundamental questions that naturally a

From playlist Math Foundations

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Data Structures (1 of 2)

Introductory coverage of fundamental data structures. Part of a larger series teaching programming. Visit http://codeschool.org

From playlist Data Structures

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The algebra of natural number multisets | Data structures in Mathematics Math Foundation 157

We introduce some deceptively simple but important notation to deal with multisets/msets from n, for some natural number n. In particular we augment addition of msets with multiples of an mset, and use that to give a list-theoretic description of the multiplicity of various elements that a

From playlist Math Foundations

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Wolfram Physics Project: Future Questions for our Physics Project Tuesday, Apr. 13, 2021

Begins at 5:22 Originally livestreamed at: https://twitch.tv/stephen_wolfram Stay up-to-date on this project by visiting our website: http://wolfr.am/physics Check out the announcement post: http://wolfr.am/physics-announcement Find the tools to build a universe: https://wolfr.am/physics

From playlist Wolfram Physics Project Livestream Archive

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Karen Strung: Positive Line Bundles Over the Irreducible Quantum Flag Manifolds

Talk by Karen Strung in Global Noncommutative Geometry Seminar (Europe) http://www.noncommutativegeometry.nl/ncgseminar/ on May 12, 2021

From playlist Global Noncommutative Geometry Seminar (Europe)

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Calculus & Algebra in Wolfram Language: Live with the R&D team

In this stream, we review new features in Calculus and Algebra with Wolfram R&D. Follow us on our official social media channels. Twitter: [https://twitter.com/WolframResearch/] Facebook: [https://www.facebook.com/wolframresearch/] Instagram: [https://www.instagram.com/wolframres

From playlist Live with the R&D Team

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Fun with lists, multisets and sets III | Data Structures in Mathematics Math Foundations 154

We continue our discussion of data structures in mathematics, now treating the case of multisets or msets. This is an unordered structure in which repetitions are allowed. It turns out that multisets support interesting algebraic structures: notable we are able to add two multisets to get

From playlist Math Foundations

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Why The Best Data Scientists have Mastered Algebra, Calculus and Probability

All the outstanding data scientist and ML engineers have one thing in common: They have a strong, working understanding of how ML's high-level software libraries work. Being able to look under the hood, and understand what's going in libraries such as scikit-learn, TensorFlow, and Keras,

From playlist Talks and Tutorials

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Part II: Vector Calculus, Lec 1 | MIT Calculus Revisited: Multivariable Calculus

Part II: Vector Calculus, Lecture 1: Vector Functions of a Scalar Variable Instructor: Herbert Gross View the complete course: http://ocw.mit.edu/RES18-007F11 License: Creative Commons BY-NC-SA More information at http://ocw.mit.edu/terms More courses at http://ocw.mit.edu

From playlist MIT Calculus Revisited: Multivariable Calculus

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He Studies Computer Science But is Bad at Math

In this video I respond to an email I received from a viewer. He is a computer science student who is not good at math and wants to get better. Do you have any advice? If so, please leave a comment. Useful Math Supplies https://amzn.to/3Y5TGcv My Recording Gear https://amzn.to/3BFvcxp (t

From playlist Inspiration and Advice

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Introduction to Signed Area b) | Algebraic Calculus One | Wild Egg

This is a lecture in the Algebraic Calculus One course, which will present an exciting new approach to calculus, sticking with rational numbers and high school algebra, and avoiding all "infinite processes", "real numbers" and other modern fantasies. The course will be carefully framed on

From playlist Algebraic Calculus One from Wild Egg

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Robert Bryant, A visit to the Finsler world­

Robert Bryant, Duke University, USA A visit to the Finsler world­

From playlist Conférence en l'honneur de Jean-Pierre Bourguignon

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How to Prepare for a Masters in Artificial Intelligence

In this video I answer a question I received from a viewer. His name is John and he wants to prepare for a Masters in AI(Artificial Intelligence) at a very reputable school. Do you have any advice for John? If so, please leave any comments below. If you enjoyed this video please consider

From playlist Inspiration and Advice

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Introduction to data structures

See complete series of videos in data structures here: http://www.youtube.com/playlist?list=PL2_aWCzGMAwI3W_JlcBbtYTwiQSsOTa6P&feature=view_all In this lesson, we will introduce you to data structures as ways to store and organize data in computer. Feel free to drop your question, feedbac

From playlist Data structures

Related pages

Proof calculus | Deep inference | Modal logic | Maude system | Linear logic | Classical logic | Structural proof theory | ACM Transactions on Computational Logic | Noncommutative logic