Formal languages | Discrete mathematics | Matroid theory | Convex geometry | Algebraic combinatorics | Lattice theory | Families of sets
In mathematics, an antimatroid is a formal system that describes processes in which a set is built up by including elements one at a time, and in which an element, once available for inclusion, remains available until it is included. Antimatroids are commonly axiomatized in two equivalent ways, either as a set system modeling the possible states of such a process, or as a formal language modeling the different sequences in which elements may be included.Dilworth (1940) was the first to study antimatroids, using yet another axiomatization based on lattice theory, and they have been frequently rediscovered in other contexts. The axioms defining antimatroids as set systems are very similar to those of matroids, but whereas matroids are defined by an exchange axiom, antimatroids are defined instead by an anti-exchange axiom, from which their name derives.Antimatroids can be viewed as a special case of greedoids and of semimodular lattices, and as a generalization of partial orders and of distributive lattices. Antimatroids are equivalent, by complementation, to convex geometries, a combinatorial abstraction of convex sets in geometry. Antimatroids have been applied to model precedence constraints in scheduling problems, potential event sequences in simulations, task planning in artificial intelligence, and the states of knowledge of human learners. (Wikipedia).
Introduction to Antihistamines
Everybody knows what allergies are, but what causes them? What drugs do we have available to address them? As we learned in the immunology series, allergies are symptoms of an immune response to a perceived threat. Histamine is a molecule in the body that orchestrates many aspects of this
From playlist Pharmacology
Aspirin (Acetylsalicylic Acid)
Now that we understand the basics regarding NSAIDs, let's dive into a few specific drugs from this class. First up, aspirin. This drug has been around for centuries, but now with a modern understanding of chemistry and biochemistry, we are able to understand its precise structure and mecha
From playlist Pharmacology
An general explanation of the underactive thyroid.
From playlist For Patients
Acetaminophen/Paracetamol (Tylenol)
Acetaminophen, more commonly known by brand names such as Tylenol, is not a true NSAID, as it does not have anti-inflammatory properties. However, it is commonly discussed alongside NSAIDs as it has similar antipyretic and analgesic properties. Although its mechanism of action is not well-
From playlist Pharmacology
Introduction to Nonsteroidal Anti-Inflammatory Drugs (NSAIDs)
Now that we've covered some basics regarding drug nomenclature, drug administration, and the ways they move through and interact with the body, it's time to dive into a survey of specific drugs so we can learn about as many as we can. Let's start with a class that everyone is familiar with
From playlist Pharmacology
Fermilab scientist Don Lincoln describes antimatter and its properties. He also explains why antimatter, though a reality, doesn't pose any current threat to our existence!
From playlist Videos by Don Lincoln
AWESOME antigravity electromagnetic levitator (explaining simply)
Physics levitron (science experiments)
From playlist ELECTROMAGNETISM
Like SciShow? Want to help support us, and also get things to put on your walls, cover your torso and hold your liquids? Tardigrade Poster: http://vid.io/xom SciShow Mug: http://vid.io/xoa SciShow Shirt: http://vid.io/xog -- If you don't have any idea what antimatter is, you don't have to
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Calculus 5.1a - Antiderivatives
An introduction to antiderivatives.
From playlist Calculus Chapter 5 (selected videos)
Michel Habib: New perspectives for graph searches on structured families of graphs
Abstract: Graph searching, a mechanism to traverse a graph visiting one vertex at a time in a specific manner, is a powerful tool used to extract structure from various families of graphs. In this talk, we focus on two graph searches: Lexicographic Breadth First Search (LBFS), and Lexicogr
From playlist Combinatorics