Hybrid logic refers to a number of extensions to propositional modal logic with more expressive power, though still less than first-order logic. In formal logic, there; is a trade-off between expressiveness and computational tractability. The history of hybrid logic began with Arthur Prior's work in tense logic. Unlike ordinary modal logic, hybrid logic makes it possible to refer to states (possible worlds) in formulas. This is achieved by a class of formulas called nominals, which are true in exactly one state, and by the use of the @ operator, which is defined as follows: @i p is true if and only if p is true in the unique state named by the nominal i (i.e., the state where i is true). Hybrid logics with extra or other operators exist, but @ is more-or-less "standard." Hybrid logics have many features in common with temporal logics (which use nominal-like constructs to denote specific points in time), and they are a rich source of ideas for researchers in modern modal logic. They also have applications in the areas of , model theory, proof theory, and the logical analysis of natural language. It is also deeply connected to description logic because the use of nominals allows one to perform assertional ABox reasoning, as well as the more standard terminological TBox reasoning. (Wikipedia).
Integration 7 Integrating the Product of Functions Part 2 Example 2
Working through an example using the reverse product rule for integration.
From playlist Integration
What Is Fuzzy Logic? | Fuzzy Logic, Part 1
This video introduces fuzzy logic and explains how you can use it to design a fuzzy inference system (FIS), which is a powerful way to use human experience to design complex systems. Designing a FIS does not require a model, so it works well for complex systems with underlying mechanisms t
From playlist Fuzzy Logic
This video teaches students how to write the inverse of a conditional statement. In particular, this video goes into detail about how to negate the hypothesis and conclusion of a conditional statement. In addition, the concepts of truth value, negating statements and logical equivalence ar
From playlist Geometry
This video focuses on how to write the converse of a conditional statement. In particular, this video shows how to flip the hypothesis and conclusion of a conditional statement. The concepts of truth value and logical equivalence are explored as well. Your feedback and requests are encour
From playlist Geometry
22 Combinations of binary operations
The left- and right distributive properties of the combination of binary operations.
From playlist Abstract algebra
Integration 7 Integrating the Product of Functions Part 2 Example 1
Working through an example of the reverse of the product rule for integration.
From playlist Integration
Free ebook http://tinyurl.com/EngMathYT Example on integration via rationalizing substitutions.
From playlist A second course in university calculus.
The Fourier Transform and Derivatives
This video describes how the Fourier Transform can be used to accurately and efficiently compute derivatives, with implications for the numerical solution of differential equations. Book Website: http://databookuw.com Book PDF: http://databookuw.com/databook.pdf These lectures follow
From playlist Fourier
Feedback Control of Hybrid Dynamical Systems
Hybrid systems have become prevalent when describing complex systems that mix continuous and impulsive dynamics. Continuous dynamics usually govern the evolution of the physical variables in a system, while impulsive (or discrete) behavior is typically due to discrete events and abrupt cha
From playlist Complete lectures and talks: slides and audio
Logic & Proofs for Cyber-Physical Systems
From playlist Symbolic-Numeric Computing Seminar
EEVblog #217 - Lecroy 9384C Oscilloscope Teardown
Dave powers up an old Lecroy 9384C 1GHz oscilloscope. Will it work? And what's inside to make it tick?
From playlist Product Reviews & Teardowns
Isabelle Bloch - Hybrid AI for Knowledge Representation and Model-based Image Understanding - (...)
This presentation will focus on hybrid AI, as a step towards explainability, more specifically in the domain of spatial reasoning and image understanding. Image understanding benefits from the modeling of knowledge about both the scene observed and the objects it contains as well as their
From playlist 8th edition of the Statistics & Computer Science Day for Data Science in Paris-Saclay, 9 March 2023
Stanford Seminar - Model Predictive Control of Hybrid Dynamical Systems
Ricardo Sanfelice UC Santa Cruz November 8, 2019 Hybrid systems model the behavior of dynamical systems in which the states can evolve continuously and, at isolate time instances, exhibit instantaneous jumps. Such systems arise when control algorithms that involve digital devices are appl
From playlist Stanford AA289 - Robotics and Autonomous Systems Seminar
Chain React 2018: Organizing Code for Cross-Platform Web and Mobile Development by Robert Scarano
For teams that deliver code for the web, android, and iOS, we want to avoid writing all of our logic three times, in three different languages, across three different platforms. We will share how our team was successful in developing features of our platform that realized 70% business logi
From playlist ChainReact 2018
For teams that deliver code for the web, android, and iOS, we want to avoid writing all of our logic three times, in three different languages, across three different platforms. We will share how our team was successful in developing features of our platform that realized 70% business logi
From playlist Software Development
Category Theory and Robotics - Paul Gustafson
A discussion with Paul Gustafson on how to apply Category Theory to Robotics. Tasks can be composed either sequentiall or in parallel and up until now there has been no formalism to describe how this happens. The only prerequisite for this talk is curiosity around robotics or category th
From playlist Interviews
Historical simulation (HS VaR): Basic and age-weighted (FRM T4-2)
[here is my xls https://trtl.bz/2BmVoxW] Basic historical simulation value at risk (HS VaR) sorts the returns in the window and locates the return ranked (1-confidence)%*K+1. Age-weighted HS assigns greater weight to more recent returns. 💡 Discuss this video here in our FRM forum: https:
From playlist Valuation and RIsk Models (FRM Topic 4)
Systems of linear equations seek a common solution for the unknowns across more than one equation. It can be very simple to calculate a solution using simple algebra. Alternatively you can use elementary row operations or even lines and planes in two- and three-dimensional space. At th
From playlist Introducing linear algebra