Models of computation | Petri nets | Formal specification languages

Vector addition system

A vector addition system (VAS) is one of several mathematical modeling languages for the description of distributed systems. Vector addition systems were introduced by Richard M. Karp and Raymond E. Miller in 1969, and generalized to vector addition systems with states (VASS) by John E. Hopcroft and Jean-Jacques Pansiot in 1979. Both VAS and VASS are equivalent in many ways to Petri nets introduced earlier by Carl Adam Petri. Reachability in vector addition systems is Ackermann-complete (and hence nonelementary). (Wikipedia).

Vector addition system
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Vector addition

Adding vectors is a simple task. As long as the vectors are represented in a similar space, i.e. two- or three-dimensional space, the task of vector addition can be accomplished by element-wise addition of the components of the vectors. You can learn more about Mathematica on my Udemy co

From playlist Introducing linear algebra

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What is a vector?

What is a vector? We gently introduce the i and j basis vectors and the idea of a column vector is presented. The algebra of addition, subtraction and scalar multiplication is discussed. Free ebook Free ebook https://bookboon.com/en/introduction-to-vectors-ebook (updated link) Take a sh

From playlist Introduction to Vectors

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How to apply vector addition

Learn the basics of vector operations. Vectors can be added, subtracted and multiplied. To add or subtract two or more vectors, we add each of the corresponding components of the vectors. To multiply a scalar to a vector, we simply multiply the scalar to each of the components of the vecto

From playlist Vectors

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Vectors: Addition and Scalar Multiplication

This is the first video of a series from the Worldwide Center of Mathematics explaining the basics of vectors. This video deals with vector notation, vector addition, and scalar multiplication. For more math videos, visit our channel or go to www.centerofmath.org

From playlist Basics: Vectors

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Linear Algebra for Computer Scientists. 3. Vector Addition

This computer science video is the third in a series about linear algebra for computer scientists. In this video you will learn how to add two vectors together in two dimensions, three dimensions, or indeed any number of dimensions. You will also see how express vector addition algebraic

From playlist Linear Algebra for Computer Scientists

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Linear Algebra for Computer Scientists. 1. Introducing Vectors

This computer science video is one of a series on linear algebra for computer scientists. This video introduces the concept of a vector. A vector is essentially a list of numbers that can be represented with an array or a function. Vectors are used for data analysis in a wide range of f

From playlist Linear Algebra for Computer Scientists

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Matrix addition

How do we add matrices. A matrix is an abstract object that exists in its own right, and in this sense, it is similar to a natural number, or a complex number, or even a polynomial. Each element in a matrix has an address by way of the row in which it is and the column in which it is. Y

From playlist Introducing linear algebra

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Vector addition in 3D

This shows an interactive illustration that shows vector addition in 3D. The clip is from the book "Immersive Linear Algebra" at http://www.immersivemath.com.

From playlist Chapter 2 - Vectors

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Stanford Seminar - Computing with High-Dimensional Vectors

EE380: Computer Systems Colloquium Seminar Computing with High-Dimensional Vectors Speaker: Pentti Kanerva, Stanford CSLI & UC Berkeley Redwood Center for Theoretical Neuroscience Computing with high-dimensional vectors complements traditional computing and occupies the gap between symbo

From playlist Stanford EE380-Colloquium on Computer Systems - Seminar Series

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[Lesson 1] QED Prerequisites Dirac Formalism Part I (redux)

(Editorial repair made in this version) This lecture is the first in a series of topics related to QED prerequisite material. I will be selecting some topics that students are often not clear about when arriving at QED. These topics cover a wide variety of material in elementary quantum m

From playlist QED- Prerequisite Topics

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Vector addition in 2D

This shows an interactive illustration that explains vector additions in the plane. The clip is from the book "Immersive Linear Algebra" at http://www.immersivemath.com.

From playlist Chapter 2 - Vectors

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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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Lecture 02: Linear Algebra (P)Review (CMU 15-462/662)

Full playlist: https://www.youtube.com/playlist?list=PL9_jI1bdZmz2emSh0UQ5iOdT2xRHFHL7E Course information: http://15462.courses.cs.cmu.edu/ 0:00 Linear Algebra in Computer Graphics 3:27 Vector Spaces — 8:42 Cartesian Coordinates — 10:46 Vector Operations — 16:04 Vector Spaces — 19:4

From playlist Computer Graphics (CMU 15-462/662)

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Linear Transformations and Linear Systems

In this video we discuss linear transformations. We start by examining the mathematical definition of a linear transformation and apply it to several examples including matrix multiplication and differentiation. We then see how linear transformations relate to linear systems (AKA linear

From playlist Linear Algebra

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27c3: I Control Your Code (en)

Speaker: Mathias Payer Attack Vectors Through the Eyes of Software-based Fault Isolation Unsafe languages and an arms race for new bugs calls for an additional line of defense in software systems. User-space virtualization uses dynamic instrumentation to detect different attack vectors a

From playlist 27C3: We come in peace

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MV3D Chapter 1.2

This video covers Chapter 1.2 up to the MATLAB demonstrations. These videos are associated the textbook by Scott Stevens entitled Matrices, Vectors, & 3D Math; A Game-Programming approach with MATLAB (http://www.StevensMV3D.com).

From playlist Matrices, Vectors, & 3D Math: Lecture Videos

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Math 060 Linear Algebra 02 090814: Matrix Multiplication

1.3 Some conventions of the text; *matrix multiplication*; "key observation" about multiplication (left multiplication occurs column-wise); relation with systems of linear equations. Rephrasals of what it means to find a solution (in terms of linear combinations, span). 1.4 More on matri

From playlist Course 4: Linear Algebra

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Algebra of vectors continued -- Calculus III

This lecture is on Calculus III. It follows Part III of the book Calculus Illustrated by Peter Saveliev. The text of the book can be found at http://calculus123.com.

From playlist Calculus III

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What is a Vector Space?

This video explains the definition of a vector space and provides examples of vector spaces.

From playlist Vector Spaces

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Lec 5 | MIT 6.451 Principles of Digital Communication II

Introduction to Binary Block Codes View the complete course: http://ocw.mit.edu/6-451S05 License: Creative Commons BY-NC-SA More information at http://ocw.mit.edu/terms More courses at http://ocw.mit.edu

From playlist MIT 6.451 Principles of Digital Communication II

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