querying description logic knowledge bases
... its instances, e.g., the concept EU can be defined as an enumeration of its member
Different DLs may have different computational properties. The time needed
Number and Operations – Fractions
... 3. Miguel is making an obstacle course for field
day. At the end of every sixth of the course,
there is a tire. At the end of every third of the
course, there is a cone. At the end of every
half of the course, there is a hurdle. At which
locations of the course will people need to go
through more th ...
... The transmission of speech and other voiceband applications over packet networks brings with it
new, sometimes unique forms of quality degradation. There are many existing definitions for
packet network performance parameters, yet the desire to control the quality of non-elastic
isochronous applicat ...
... LEMMA: For all n, fn < 2n
Proof. Base cases (both needed as can’t apply
induction step on f1 since f-1 is undefined)
n = 0: f0 = 0 < 1 = 20
n = 1: f1 = 1 < 2 = 21
Induction n > 0:
fn = fn-1+fn-2 < 2n-1 + 2n-2 applying both P (n-1)
and P (n-2) which can be assumed by strong
induction hypothesis. ...
Does machine learning need fuzzy logic?
... Without denying the potential usefulness of fuzzy logic in constructing interpretable models in general, the author
is quite convinced that current fuzzy machine learning methods produce models that are not at all more interpretable
than any other types of model, and often even less. There are sever ...
A mathematical model is a description of a system using mathematical concepts and language. The process of developing a mathematical model is termed mathematical modeling. Mathematical models are used in the natural sciences (such as physics, biology, earth science, meteorology) and engineering disciplines (such as computer science, artificial intelligence), as well as in the social sciences (such as economics, psychology, sociology, political science). Physicists, engineers, statisticians, operations research analysts, and economists use mathematical models most extensively. A model may help to explain a system and to study the effects of different components, and to make predictions about behaviour.Mathematical models can take many forms, including but not limited to dynamical systems, statistical models, differential equations, or game theoretic models. These and other types of models can overlap, with a given model involving a variety of abstract structures. In general, mathematical models may include logical models. In many cases, the quality of a scientific field depends on how well the mathematical models developed on the theoretical side agree with results of repeatable experiments. Lack of agreement between theoretical mathematical models and experimental measurements often leads to important advances as better theories are developed.