How to use Boolean in a sentence

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Sentence Examples In addition to his work on semigroups, number theory and finite fields, Schwarz contributed to the theory of non-negative and Boolean matrices. There are two types of options, Boolean options and those that take a value. Devoting resources to Boolean training for their employees and to an assisted search interface for their website could be a valuable investment. Fundamental to these operations are electronic gates for handling Boolean logic. Even for propositional logics, models of such systems are usually algebras, e.g., Boolean or Heyting algebras, and as such they are categories. The program gives the user plenty of 3D tools including true Boolean operations. During this time he published three papers on Boolean logic and one on probability. Indeed, today, all computers are based on Boolean algebra, another example that mathematics is often a hundred years ahead of its time. He did this in particular with submarine attack and navigation, employing Boolean algebra. Another general algebraic notion which applies to Boolean algebras is the notion of a free algebra. Its search defaults to a Boolean AND and supports phrase searching with quotation marks. It began the algebra of logic called Boolean algebra which now finds application in computer construction, switching circuits etc. Previously, users could construct limited Boolean queries using drop-down menus. He continued his work showing how Boolean algebra could be used to synthesise and simplify relay switching circuits. You can use Boolean functions to create custom objects by adding, subtracting, or intersecting two objects together. One of the more interesting things that you can do with Boolean gates is to create memory with them. They are the basis of mathematical logic, which in turn gives rise to Boolean algebra. Second, Colossus was not a general-purpose machine, being designed for a specific cryptanalytic task involving counting and Boolean operations. The full Boolean is available from the main page search box and supports nesting. On the other hand, the theory of a Boolean algebra with a distinguished subalgebra is undecidable. Show More Sentences After giving some simple examples we show that the set consisting of the four-element Boolean algebra and the four-element fork is incomparably continuable. It is possible to develop a simple search into a complex search where any number of Boolean operators can be used. A number of advanced searching techniques can be used including: truncation, use of Boolean operators, and fuzzy searching. Boolean logic refers to the system of mathematical logic called Boolean algebra, named after the English mathematician George Boole. If you are unsure of the word order in a name, try a Boolean search by name keywords. One such is the free Boolean algebra on countably many generators, which is the only countable atomless Boolean algebra. There could be no records found, there could be a spelling error entered in the free-text fields, incorrect use of Boolean operators, etc. Both the decidability results and undecidablity results extend in various ways to Boolean algebras in extensions of first-order logic. It was based on using Boolean algebra with computer circuitry. As an example, consider the AND function from Boolean algebra. Table 6 shows actors' strategies transformed into Boolean equations. Boolean logic is founded on the concept of variable binary, fuzzy logic on that of fuzzy variable and linguistic variable. In Boolean logic, NOT is a unary operator, acting only on the term that follows it. Put quotation marks around keywords if your query contains one of the Boolean operators and you want Index Server to take them literally. An example of such an algebraic encoding is the Lindenbaum-Tarski algebra, a Boolean algebra corresponding to classical propositional logic. It is therefore strongly recommended that you use the Boolean operators AND, OR and AND NOT to limit the number of records found. Boolean and proximity operators can be used to create a more precise query. Once the matrix is established, Boolean algebra, graph theory of matrix computation can help identifying basic structural characteristics. In Figure 2.3 the result of using the same two terms with each of the three primary Boolean operands is graphically displayed. If the input specifies a Boolean value, there will be just two states, one valid and one invalid. Show More Sentences In this type of search, you must enter the words being queried and the words you wish to exclude by connecting them using Boolean operators. In logic, De Morgan's laws, named for nineteenth century logician and mathematician Augustus De Morgan, are two powerful rules of Boolean algebra and set theory. The goal is to rapidly retrieve relevant information by applying Boolean logic to keywords and searching databases optimized for textual storage and retrieval. They relate Boolean algebras to general topology and to the theory of rings and ideals, and include what is called Stone-tech compactification today. In 1904 he gave axioms for a Boolean algebra, then later, in 1933, he showed that a Boolean algebra could be defined in terms of a single binary and a single unary operation. Fuzzy Logic accounts a lot better to uncertainty and impreciseness in data as well as to vagueness in decisions and classifications than Boolean Algorithms do. These two processes are inverses of one another, and show that the theory of Boolean algebras and of rings with identity in which every element is idempotent are definitionally equivalent. Yashchenko contributed to the series with a volume on applying Boolean functions in the analysis and design of ciphers. Boolean algebras abstract the algebra of sets. George Boole was a legendary mathematician who was responsible for creating Boolean Algebra. The book presupposes a good knowledge of advanced calculus and Boolean logic. She explains the mathematical history involved, including the influence of Boolean logic on Dodgson. The SC26-2 uses safety function blocks, Boolean logic functions and a user-friendly programming environment for creating safety control logic. He also proved that circuits with relays could solve Boolean algebra problems. Partial maximum Boolean satisfiability is an optimization variant of Boolean Satisability. Boolean logic is credited with laying the foundations for the information age. The system uses Boolean logic programming and a digital signal processor to perform reliably and quickly. Since a Boolean algebra is a poset, it is also a category. The way we use Boolean values in our error check sheet is to store the test results. Of course, Gödel's completeness theorem shows that there are plenty of Boolean local topoi to model pure classical type theory in, but the usual proof of their existence requires nonconstructive arguments. Show More Sentences Boolean algebra is the algebra of two-valued logic with only sentential connectives, or equivalently of algebras of sets under union and complementation. Complex numbers, Kirchhoff's circuit laws, Ohm's law, Boolean algebra. Hence A is a maximal set with uni-element and by theorem 1 and definition A, a maximal set of B forms a Boolean ring. Foster, The idempotent elements of a commutative ring form a Boolean Algebra, Duke math. Boolean search allows the use of logical expressions to find documents. His topics include number systems, Boolean algebra and logic, integrated logic, combinational logic, and synchronous sequential logic. Hence the Boolean truth table can be explained as in the next section. Forming the mathematical foundations of computing, Boolean logic laid the foundations for the information age. In JavaScript, as well as the true or false Boolean values, other types of variables can be said to be truthy or falsey. Boolean algebra as well as combinational and sequential logic circuits are thoroughly studied. The course deals afterwards with the functioning of the arithmetic and logic unit as well as the behaviour of the memory. Our proposed approach is variadic: it evaluates a Boolean expression regarding multi-input meshes as a whole rather than a tree of decomposed binary operations. The next few sections discuss broad categories of operations, including statistics, risk assessment, Boolean algebra, and types of calculations for economics and engineering. Section 3 studies the Stanley-Reisner ring of the Boolean algebra. Algebraically, classical negation corresponds to complementation in a Boolean algebra, and intuitionistic negation to pseudocomplementation in a Heyting algebra. The bare troika of Boolean operators brought them into metaphorical being. The Boolean query is based on concepts from logic, or Boolean algebra. The combination of these is considered as universal because any general Boolean function can be implemented with the combination of these logic primitives. In addition to logic gate and Boolean equation-level styles of Verilog description, there is also a chapter covering the use of HDL at the behavioral level. Note that the scoring functions for both conjunctive and disjunctive queries for the fuzzy and probabilistic Boolean models satisfy the monotonicity property. Boolean algebra is named after him, as is the crater Boole on the Moon. Show More Sentences The keyword Bool represents a Boolean datatype in many programming languages, though Pascal and Java, among others, both use the full name Boolean. George Boole authored The Laws of Thought which contains Boolean algebra. Boolean logic did it instead, and where's the self-satisfaction in that? Strings are enclosed in double quotation marks, numbers are not enclosed in anything, and dates and Boolean values are enclosed between octothorpe characters. Examples from Classical Literature No stronger proof of this can be given than the Boolean logic embedded in computer hardware and programming languages. I thought you were kidding me, like that Boolean Algebra stuff. Find more words! 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What is the plural of Boolean? Use our Sentence Generator Nearby Words boolean boole bool bookworms bookworm bookwork boom Boom boom and bust boom-and-bust boom and bust cycle boom-boom