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An example Karnaugh map. Note: Every rectangle encloses 2, 4 or 8 trues or 1's. Also, the yellows rectangle wraps off the top and encloses the two bottom right cells. A Karnaugh map (KM or K-map) is a diagram that can be used to simplify a Boolean algebra expression.
One of the questions that arises in a decision tree algorithm is the optimal size of the final tree. A tree that is too large risks overfitting the training data and poorly generalizing to new samples. A small tree might not capture important structural information about the sample space.
The state of a deterministic finite automaton = (,,,,) is unreachable if no string in exists for which = (,).In this definition, is the set of states, is the set of input symbols, is the transition function (mapping a state and an input symbol to a set of states), is its extension to strings (also known as extended transition function), is the initial state, and is the set of accepting (also ...
Examples of the use of this prefix in names of Python applications or libraries include Pygame, a binding of Simple DirectMedia Layer to Python (commonly used to create games); PyQt and PyGTK, which bind Qt and GTK to Python respectively; and PyPy, a Python implementation originally written in Python.
An example of this abstraction process is the generational development of programming language from the first-generation programming language (machine language) to the second-generation programming language (assembly language) and the third-generation programming language (high-level programming language). Each stage can be used as a stepping ...
Simplifying a piecewise linear curve with the Douglas–Peucker algorithm. The starting curve is an ordered set of points or lines and the distance dimension ε > 0. The algorithm recursively divides the line. Initially it is given all the points between the first and last point. It automatically marks the first and last point to be kept.
In propositional logic, conjunction elimination (also called and elimination, ∧ elimination, [1] or simplification) [2] [3] [4] is a valid immediate inference, argument form and rule of inference which makes the inference that, if the conjunction A and B is true, then A is true, and B is true.
Declarative programming may greatly simplify writing parallel programs. [ 5 ] Common declarative languages include those of database query languages (e.g., SQL , XQuery ), regular expressions , logic programming (e.g. Prolog , Datalog , answer set programming ), functional programming , configuration management , and algebraic modeling systems.