In model checking, a branch of computer science, linear time properties are used to describe requirements of a model of a computer system. Example properties include "the vending machine does not dispense a drink until money has been entered" (a safety property) or "the computer program eventually terminates" (a liveness property). Fairness properties can be used to rule out unrealistic paths of a model. For instance, in a model of two traffic lights, the liveness property "both traffic lights are green infinitely often" may only be true under the unconditional fairness constraint "each traffic light changes colour infinitely often" (to exclude the case where one traffic light is "infinitely faster" than the other). Formally, a linear time property is an ω-language over the power set of "atomic propositions". That is, the property contains sequences of sets of propositions, each sequence known as a "word". Every property can be rewritten as "P and Q both occur" for some safety property P and liveness property Q. An invariant for a system is something that is true or false for a particular state. Invariant properties describe an invariant that every reachable state of a model must satisfy, while persistence properties are of the form "eventually forever some invariant holds". Temporal logics such as linear temporal logic describe types of linear time properties using formulae. This article is about propositional linear-time properties and cannot handle predicates about program states, so it cannot define a property like: the current value of y determines the number of times that x toggles between 0 and 1 before termination. The more general formalism used in Safety and liveness properties can handle this. (Wikipedia).
Properties of Fourier Transforms
http://AllSignalProcessing.com for more great signal-processing content: ad-free videos, concept/screenshot files, quizzes, MATLAB and data files. Basic properties of the Fourier transform and discrete-time Fourier transform: convolution-multiplication, multiplication-convolution (windowi
From playlist Introduction and Background
Review of Linear Time Invariant Systems
http://AllSignalProcessing.com for more great signal-processing content: ad-free videos, concept/screenshot files, quizzes, MATLAB and data files. Review: systems, linear systems, time invariant systems, impulse response and convolution, linear constant-coefficient difference equations
From playlist Introduction and Background
Introduction to Linear Time Invariant System Descriptions
http://AllSignalProcessing.com for free e-book on frequency relationships and more great signal processing content, including concept/screenshot files, quizzes, MATLAB and data files. Introduces systems and their use in signal processing; defines linearity, time invariance, and causal sys
From playlist Introduction and Background
How do you determine if you have a linear equation
http://www.freemathvideos.com n this video series I show you how to determine if a relation is a linear relation. A linear relation is a relation where their are variables do not have negative or fractional, or exponents other than one. Variables must not be in the denominator of any rat
From playlist Write Linear Equations
Is time an essential concept in physics?
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From playlist Science Unplugged: Time
How to determine if an equation is a linear relation
👉 Learn how to determine if an equation is a linear equation. A linear equation is an equation whose highest exponent on its variable(s) is 1. The variables do not have negative or fractional, or exponents other than one. Variables must not be in the denominator of any rational term and c
From playlist Write Linear Equations
http://AllSignalProcessing.com for more great signal processing content, including concept/screenshot files, quizzes, MATLAB and data files. Basic properties of the z-transform: linearity, convolution, differentiation of X(z), multiplication by an exponential sequence, time-shift property
From playlist The z-Transform
Define linear functions. Use function notation to evaluate linear functions. Learn to identify linear function from data, graphs, and equations.
From playlist Algebra 1
The Evolution of Time (Director's Cut)
The Evolution of Time and the Carnot Cycle at the Edge of the Universe By Gavin Wince We are all time travelers... drifting through time at a steady pace, one moment at a time. In what direction are we moving through time? Or does time move through us? How many dimensions of time are th
From playlist Science
Linear Algebra 4e: Linear Subspaces in ℝⁿ
https://bit.ly/PavelPatreon https://lem.ma/LA - Linear Algebra on Lemma http://bit.ly/ITCYTNew - Dr. Grinfeld's Tensor Calculus textbook https://lem.ma/prep - Complete SAT Math Prep
From playlist Part 1 Linear Algebra: An In-Depth Introduction with a Focus on Applications
Lecture 23 | The Fourier Transforms and its Applications
Lecture by Professor Brad Osgood for the Electrical Engineering course, The Fourier Transforms and its Applications (EE 261). Professor Osgood lectures on linear systems, focusing on linear time and variance systems. The Fourier transform is a tool for solving physical problems. In thi
From playlist Lecture Collection | The Fourier Transforms and Its Applications
Linear Algebra 14TBD: Overview of the Properties of the Determinant
https://bit.ly/PavelPatreon https://lem.ma/LA - Linear Algebra on Lemma http://bit.ly/ITCYTNew - Dr. Grinfeld's Tensor Calculus textbook https://lem.ma/prep - Complete SAT Math Prep
From playlist Part 2 Linear Algebra: An In-Depth Course with a Focus on Applications
Linear Algebra 4d: What is a Linear Property and Why It's Synonymous with Subspace
https://bit.ly/PavelPatreon https://lem.ma/LA - Linear Algebra on Lemma http://bit.ly/ITCYTNew - Dr. Grinfeld's Tensor Calculus textbook https://lem.ma/prep - Complete SAT Math Prep
From playlist Part 1 Linear Algebra: An In-Depth Introduction with a Focus on Applications
Linear Algebra - Lecture 18 - Linear Transformations
In this lecture, we will generalize the ideas about matrix transformations and define linear transformations.
From playlist Linear Algebra Lectures
Definition of linear map. Algebraic properties of linear maps.
From playlist Linear Algebra Done Right
Restriction-closed tensor properties - Jan Draisma
Workshop on Additive Combinatorics and Algebraic Connections Topic: Restriction-closed tensor properties Speaker: Jan Draisma Affiliation: Eindhoven University of Technology; Member, School of Mathematics Date: October 26, 2022 A theorem by Kazhdan and Ziegler says that any property of h
From playlist Mathematics
From playlist Unlisted LA Videos
Geometry of tropical varieties with a view toward applications (Lecture 4) by Omid Amini
PROGRAM COMBINATORIAL ALGEBRAIC GEOMETRY: TROPICAL AND REAL (HYBRID) ORGANIZERS: Arvind Ayyer (IISc, India), Madhusudan Manjunath (IITB, India) and Pranav Pandit (ICTS-TIFR, India) DATE & TIME: 27 June 2022 to 08 July 2022 VENUE: Madhava Lecture Hall and Online Algebraic geometry is t
From playlist Combinatorial Algebraic Geometry: Tropical and Real (HYBRID)
Differential Equations: Linearity
Linearity is crucial throughout mathematics. In this video, I demonstrate the linearity of linear differential equations and explain why it can be useful. This video is the first precursor to our discussion of homogeneous differential equations.
From playlist Differential Equations
Discrete-Time Dynamical Systems
This video shows how discrete-time dynamical systems may be induced from continuous-time systems. https://www.eigensteve.com/
From playlist Data-Driven Dynamical Systems