Where the Theory Meets the Practice
year in seventh- and eighth-grade math and high school algebra and government. high school graduation exams in algebra, biology, English and government. to work with these kids; that's the very definition of a Sisyphian task
Characteristic Formulae for Timed Automata
uses a property language characterizing the power of reachability testing over timed automata in the context of "test automata" to provide a definition of characteristic properties with respect to a timed version of the ready simulation
Different Strokes
The reason it is unchanged in relational algebra is because the definition of equality requires them to be the same type (the same attributes). So a binding with one value can't be equal to a binding with two values.
What is the Categorified Gelfand-Naimark Theorem?
Definition 5. An H * -algebra is a Hilbert space A equipped with an associative unital algebra structure and an antilinear involution * : A → A compatible with taking the adjoint of the operators of left and right multiplication of A
Geometric equivalence of Clifford algebras
We motivate a notion of geometric equivalence that is not the usual notion of algebraic equivalence (or isomorphism of Clifford algebra). Using this definition tilting to the opposite metric is a geometric equivalence in contrast to
SPARQL Basic Graph Pattern Matching
I wrote about the SPARQL algebra last time, not with the idea of a regular update whatever is being queried and the results of matching feed into the algebra. BGP matching is a complicated definition that allows for different
A-infinity and Hochschild cocycles
So, each interesting map — let’s call them all is a degree 1 map . This family of maps is a part of the structure definition of an A∞-algebra. The rest of its definition is the set of properties we want these maps to fulfill.
Characteristic Formulae
So, we can give characteristic formulae modulo bisimulation for states of finite labelled ition systems using HML enriched with a facility for the recursive definition of formulae, where recursively defined formulae are interpreted
Derivatives in computer algebra
Consider a definition of the absolute value: function abs(x) if (x>0) return x else return -1 * x We might want to add special code in the function definition to return (0,NaN) when x==0. This can be extended to take all of the
What Economists Can Learn from Evolutionary Theorists
Let me give you my own personal definition of the basic method of economic theory. Notice that there are really four parts to this definition. algebra-heavy subjects that are the subject of intense interest from people who
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