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Brief Answers to the Big Questions is a popular science book written by physicist Stephen Hawking, and published by Hodder & Stoughton (hardcover) and Bantam Books (paperback) on 16 October 2018. The book examines some of the universe 's greatest mysteries, and promotes the view that science is very important in helping to solve problems on ...
A great danger inherent in the simplification required to fit the entire economy into a model is omitting critical elements. Some economists believe that making the model as simple as possible is an art form, but the details left out are often contentious. For instance: Market models often exclude externalities such as pollution.
The book contains a selection [Note 1] of questions and answers originally published on his blog What If?, along with several new ones. [1] The book is divided into several dozen chapters, most of which are devoted to answering a unique question. [Note 2] What If? was released on September 2, 2014 and was received positively by critics.
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.
Quantifier elimination is a concept of simplification used in mathematical logic, model theory, and theoretical computer science.Informally, a quantified statement "such that …" can be viewed as a question "When is there an such that …?", and the statement without quantifiers can be viewed as the answer to that question.
Simplification is the process of replacing a mathematical expression by an equivalent one that is simpler (usually shorter), according to a well-founded ordering. Examples include: Simplification of algebraic expressions, in computer algebra; Simplification of boolean expressions i.e. logic optimization
Boost.Geometry support Douglas–Peucker simplification algorithm; Implementation of Ramer–Douglas–Peucker and many other simplification algorithms with open source licence in C++; XSLT implementation of the algorithm for use with KML data. You can see the algorithm applied to a GPS log from a bike ride at the bottom of this page
Rules of inference are syntactical transform rules which one can use to infer a conclusion from a premise to create an argument. A set of rules can be used to infer any valid conclusion if it is complete, while never inferring an invalid conclusion, if it is sound.