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Logic Pro 7 was released September 29, 2004. Most notably, Apple modified the interface of Logic 7 to look more like a product that was developed by Apple. Additions to Logic Pro 7 included: the integration of Apple Loops, Distributed Audio Processing (a technology for combining the power of multiple computers on a net... | Wikipedia - Logic Express | null | null | null |
Logic Pro is a hybrid 32 / 64 bit digital audio workstation and MIDI sequencer software application for the Mac OS X platform. Originally created by German software developer Emagic, Logic Pro became an Apple product when Apple bought Emagic in 2002. Logic Pro provides software instruments, synthesizers, audio effects ... | Wikipedia - Logic Studio | null | null | null |
Audio effects include distortions, dynamics processors, equalization filters, and delays. The Space Designer plugin simulates the acoustics of audio played in different environments, such as rooms of varying size, or producing the echoes that might be heard on high mountains. Logic Pro can work with MIDI keyboards and ... | Wikipedia - Logic Studio | null | null | null |
It features real-time scoring in musical notation, supporting guitar tablature, chord abbreviations and drum notation. The application features distributed processing abilities, which can function across an Ethernet LAN. One machine runs the Logic Pro app, while the other machines on the network run the Logic node app. | Wikipedia - Logic Studio | null | null | null |
Logic will then offload the effects and synth processing to the other machines on the network. If the network is fast enough (i.e. gigabit Ethernet) this can work in near-real time, depending on buffer settings and CPU loads. This allows users to combine the power of several Mac computers to process Logic Pro’s built-i... | Wikipedia - Logic Studio | null | null | null |
Logic Pro provides software instruments, audio effects and recording facilities for music synthesis. It also supports Apple Loops – royalty-free, professionally recorded instrument loops. Logic Pro and Express once shared many functions and the same interface. | Wikipedia - Logic Express | null | null | null |
Logic Express was limited to two-channel stereo mixdown, while Logic Pro can handle multichannel surround sound. Logic Express only handled up to 255 audio tracks, depending on system performance (CPU and hard disk throughput and seek time), while, as of version 10.4.5, Logic Pro can handle up to 1000.Logic Pro can wor... | Wikipedia - Logic Express | null | null | null |
Logic Theorist introduced several concepts that would be central to AI research: Reasoning as search Logic Theorist explored a search tree: the root was the initial hypothesis, each branch was a deduction based on the rules of logic. Somewhere in the tree was the goal: the proposition the program intended to prove. The... | Wikipedia - Logic Theory Machine | null | null | null |
They called these ad hoc rules "heuristics", using a term introduced by George Pólya in his classic book on mathematical proof, How to Solve It. (Newell had taken courses from Pólya at Stanford). Heuristics would become an important area of research in artificial intelligence and remains an important method to overcome... | Wikipedia - Logic Theory Machine | null | null | null |
Logic analysis evaluates the equations, algorithms, and control logic of the software design. | Wikipedia - Software Security Assurance | null | null | null |
Logic and automated reasoningProgramming using logic Logic programming See "Logic as search" above. Forms of Logic Propositional logic First-order logicFirst-order logic with equality Constraint satisfaction Fuzzy logicFuzzy set theory Fuzzy systems Combs method Ordered weighted averaging aggregation operator Perceptua... | Wikipedia - Outline of artificial intelligence | null | null | null |
Logic behind turn restriction routing derives from a key observation. A cyclic acquisition of channels can take place only if all the four possible clockwise (or anti-clockwise) turns have occurred. This means deadlocks can be avoided by prohibiting at least one of the clockwise turns and one of the anti-clockwise turn... | Wikipedia - Turn restriction routing | null | null | null |
Logic circuits can be constructed with the aid of transmission gates instead of traditional CMOS pull-up and pull-down networks. Such circuits can often be made more compact, which can be an important consideration in silicon implementations. | Wikipedia - Transmission gate | null | null | null |
Logic control systems for industrial and commercial machinery were historically implemented by interconnected electrical relays and cam timers using ladder logic. Today, most such systems are constructed with microcontrollers or more specialized programmable logic controllers (PLCs). The notation of ladder logic is sti... | Wikipedia - Linear control theory | null | null | null |
Examples include elevators, washing machines and other systems with interrelated operations. An automatic sequential control system may trigger a series of mechanical actuators in the correct sequence to perform a task. For example, various electric and pneumatic transducers may fold and glue a cardboard box, fill it w... | Wikipedia - Linear control theory | null | null | null |
Logic design is a step in the standard design cycle in which the functional design of an electronic circuit is converted into the representation which captures logic operations, arithmetic operations, control flow, etc. A common output of this step is RTL description. Logic design is commonly followed by the circuit de... | Wikipedia - Logic synthesis | null | null | null |
Logic family Multi-level cell Flip-flop (electronics) Race condition Binary decision diagram Circuit minimization for Boolean functions Karnaugh map Quine–McCluskey algorithm Integrated circuit design | Wikipedia - Computer engineering compendium | null | null | null |
Logic gates can also be used to hold a state, allowing data storage. A storage element can be constructed by connecting several gates in a "latch" circuit. Latching circuitry is used in static random-access memory. | Wikipedia - Logic device | null | null | null |
More complicated designs that use clock signals and that change only on a rising or falling edge of the clock are called edge-triggered "flip-flops". Formally, a flip-flop is called a bistable circuit, because it has two stable states which it can maintain indefinitely. The combination of multiple flip-flops in paralle... | Wikipedia - Logic device | null | null | null |
When using any of these gate setups the overall system has memory; it is then called a sequential logic system since its output can be influenced by its previous state(s), i.e. by the sequence of input states. In contrast, the output from combinational logic is purely a combination of its present inputs, unaffected by ... | Wikipedia - Logic device | null | null | null |
Logic gates can be built that use water instead of electricity to power the gating function. These are reliant on being positioned in one orientation to perform correctly. An OR gate is simply two pipes being merged, and a NOT gate (inverter) consists of "A" deflecting a supply stream to produce Ā. The AND and XOR gate... | Wikipedia - Fluidics | null | null | null |
Logic gates evaluate Boolean algebra, typically using electronic switches controlled by logical inputs connected in parallel or series. Diode logic can only implement OR and AND, because inverters (NOT gates) require an active device. | Wikipedia - Diode logic | null | null | null |
Logic is concerned with the patterns in reason that can help tell if a proposition is true or not. Logicians use formal languages to express the truths which they are concerned with, and as such there is only truth under some interpretation or truth within some logical system. A logical truth (also called an analytic t... | Wikipedia - Truth theory | null | null | null |
A proposition such as "If p and q, then p" is considered to be a logical truth because of the meaning of the symbols and words in it and not because of any fact of any particular world. They are such that they could not be untrue. Degrees of truth in logic may be represented using two or more discrete values, as with b... | Wikipedia - Truth theory | null | null | null |
Logic is the foundation that underlies mathematical logic and the rest of mathematics. It tries to formalize valid reasoning. In particular, it attempts to define what constitutes a proof. List of Boolean algebra topics List of first-order theories List of large cardinal properties List of mathematical logic topics Lis... | Wikipedia - Lists of mathematics topics | null | null | null |
Logic is the study of proof and deduction as manifested in language (abstracting from any underlying psychological or biological processes). Logic is not a closed, completed science, and presumably, it will never stop developing: the logical analysis can penetrate into varying depths of the language (sentences regarded... | Wikipedia - Extensional logic | null | null | null |
If we fill them in with appropriate subexpressions, then the resulting entirely completed expression can be regarded as a result, an output. Thus, a functor acts like a function sign, taking on input expressions, resulting in a new, output expression.Semantics links expressions of language to the outside world. Also lo... | Wikipedia - Extensional logic | null | null | null |
Semantic values can be attributed to expressions in basic categories: the reference of an individual name (the "designated" object named by that) is called its extension; and as for sentences, their truth value is their extension.As for functors, some of them are simpler than others: extension can be attributed to them... | Wikipedia - Extensional logic | null | null | null |
Functors for which this assumption does not hold are called intensional.Natural languages abound with intensional functors; this can be illustrated by intensional statements. Extensional logic cannot reach inside such fine logical structures of the language, but stops at a coarser level. | Wikipedia - Extensional logic | null | null | null |
The attempts for such deep logical analysis have a long past: authors as early as Aristotle had already studied modal syllogisms. Gottlob Frege developed a kind of two dimensional semantics: for resolving questions like those of intensional statements, Frege introduced a distinction between two semantic values: sentenc... | Wikipedia - Extensional logic | null | null | null |
As mentioned, motivations for settling problems that belong today to intensional logic have a long past. As for attempts of formalizations, the development of calculi often preceded the finding of their corresponding formal semantics. Intensional logic is not alone in that: also Gottlob Frege accompanied his (extension... | Wikipedia - Extensional logic | null | null | null |
Logic is the study of the principles of valid reasoning and inference, as well as of consistency, soundness, and completeness. For example, in most systems of logic (but not in intuitionistic logic) Peirce's law (((P→Q)→P)→P) is a theorem. For classical logic, it can be easily verified with a truth table. The study of ... | Wikipedia - Discrete structure | null | null | null |
Logical formulas are discrete structures, as are proofs, which form finite trees or, more generally, directed acyclic graph structures (with each inference step combining one or more premise branches to give a single conclusion). The truth values of logical formulas usually form a finite set, generally restricted to tw... | Wikipedia - Discrete structure | null | null | null |
Logic plays a fundamental role in computer science. Some of the key areas of logic that are particularly significant are computability theory (formerly called recursion theory), modal logic and category theory. The theory of computation is based on concepts defined by logicians and mathematicians such as Alonzo Church ... | Wikipedia - Logic in computer science | null | null | null |
Turing gave the first compelling analysis of what can be called a mechanical procedure and Kurt Gödel asserted that he found Turing's analysis "perfect." In addition some other major areas of theoretical overlap between logic and computer science are: Gödel's incompleteness theorem proves that any logical system powerf... | Wikipedia - Logic in computer science | null | null | null |
The frame problem is a basic problem that must be overcome when using first-order logic to represent the goals and state of an artificial intelligence agent. The Curry–Howard correspondence is a relation between logical systems and software. This theory established a precise correspondence between proofs and programs. | Wikipedia - Logic in computer science | null | null | null |
In particular it showed that terms in the simply-typed lambda-calculus correspond to proofs of intuitionistic propositional logic. Category theory represents a view of mathematics that emphasizes the relations between structures. It is intimately tied to many aspects of computer science: type systems for programming la... | Wikipedia - Logic in computer science | null | null | null |
Logic programming can be viewed as a generalisation of functional programming, in which functions are a special case of relations. For example, the function, mother(X) = Y, (every X has only one mother Y) can be represented by the relation mother(X, Y). Whereas functions have a strict input-output pattern of arguments,... | Wikipedia - Functional Programming | null | null | null |
Consider the following logic program: The program can be queried, like a functional program, to generate mothers from children: But it can also be queried backwards, to generate children: It can even be used to generate all instances of the mother relation: Compared with relational syntax, functional syntax is a more c... | Wikipedia - Functional Programming | null | null | null |
Logic programming can be viewed as controlled deduction. An important concept in logic programming is the separation of programs into their logic component and their control component. With pure logic programming languages, the logic component alone determines the solutions produced. The control component can be varied... | Wikipedia - Rule-based programming | null | null | null |
Logic programming has the desirable property that all three major definitions of the semantics of logic programs agree. In contrast, there are many conflicting proposals for the semantics of logic programs with negation. The source of the disagreement is that logic programs have a unique minimal Herbrand model, but in ... | Wikipedia - Syntax and semantics of logic programming | null | null | null |
Logic programming languages, such as Prolog, Datalog and answer set programming, compute by proving that a goal is a logical consequence of the program, or by showing that the goal is true in a model defined by the program. Prolog computes by reducing goals to subgoals, top-down using backward reasoning, whereas most D... | Wikipedia - Declarative language | null | null | null |
Logic programs (LPs) are software programs written using programming languages whose primitives and expressions provide direct representations of constructs drawn from mathematical logic. An example of a general-purpose logic programming language is Prolog. LPs represent the direct application of logic programming to s... | Wikipedia - Automated reasoning system | null | null | null |
Logic redundancy is, in general, not desired. Redundancy, by definition, requires extra parts (in this case: logical terms) which raises the cost of implementation (either actual cost of physical parts or CPU time to process). Logic redundancy can be removed by several well-known techniques, such as Karnaugh maps, the ... | Wikipedia - Logic redundancy | null | null | null |
Logic simulation is the use of a computer program to simulate the operation of a digital circuit such as a processor. This is done after a digital circuit has been designed in logic equations, but before the circuit is fabricated in hardware. | Wikipedia - Computer emulator | null | null | null |
Logic simulation may be used as part of the verification process in designing hardware.Simulations have the advantage of providing a familiar look and feel to the user in that it is constructed from the same language and symbols used in design. By allowing the user to interact directly with the design, simulation is a ... | Wikipedia - Logic simulation | null | null | null |
Logic synthesis can also be optimized in many ways to keep power consumption under control. Details of the following steps can have a significant impact on power optimization: Clock gating Logic Factorization Path Balancing Technology Mapping State Encoding Finite-State Machine Decomposition Retiming | Wikipedia - Power optimization (EDA) | null | null | null |
Logic translations can be classified based on the source language of the original text. For many logic translations, the original text belongs to a natural language, like English or French. In this case, the term "natural language formalization" is often used. | Wikipedia - Logic translation | null | null | null |
For example, the sentence "Dana is a logician and Dana is a nice person" can be formalized into propositional logic using the logical formula L ∧ N {\displaystyle L\land N} . A further type of logic translation happens between two logical systems. This means that the source text is composed of logical formulas belongin... | Wikipedia - Logic translation | null | null | null |
Logic – a study of reasoning-Modal Logic: A type of logic for the study of necessity and probability Set theory – a study of collections of elements Number theory – study of integers and integer-valued functions Combinatorics – a study of Counting Finite mathematics – a course title Graph theory – a study of graphs Dig... | Wikipedia - Outline of discrete mathematics | null | null | null |
Logic-based approaches keep track of all logically consistent explanations of the observed actions. Thus, all possible and consistent plans or goals must be considered. Kautz provided a formal theory of plan recognition. He described plan recognition as a logical inference process of circumscription. | Wikipedia - Activity recognition | null | null | null |
All actions and plans are uniformly referred to as goals, and a recognizer's knowledge is represented by a set of first-order statements, called event hierarchy. Event hierarchy is encoded in first-order logic, which defines abstraction, decomposition and functional relationships between types of events.Kautz's general... | Wikipedia - Activity recognition | null | null | null |
In contrast to Kautz's approach where the plan library is explicitly represented, Lesh and Etzioni's approach enables automatic plan-library construction from domain primitives. Furthermore, they introduced compact representations and efficient algorithms for goal recognition on large plan libraries.Inconsistent plans ... | Wikipedia - Activity recognition | null | null | null |
Besides, they also presented methods for adapting a goal recognizer to handle individual idiosyncratic behavior given a sample of an individual's recent behavior. Pollack et al. described a direct argumentation model that can know about the relative strength of several kinds of arguments for belief and intention descri... | Wikipedia - Activity recognition | null | null | null |
They offer no mechanism for preferring one consistent approach to another and incapable of deciding whether one particular plan is more likely than another, as long as both of them can be consistent enough to explain the actions observed. There is also a lack of learning ability associated with logic based methods. Ano... | Wikipedia - Activity recognition | null | null | null |
Logic-based languages specify a set of attributes that a solution must-have, rather than a set of steps to obtain a solution. Notable languages following this programming paradigm include: ALF Alma-0 Curry Datalog Fril Flix (a functional programming language with first-class Datalog constraints) Janus λProlog (a logic ... | Wikipedia - Rule-based language | null | null | null |
Logical AND procedural linksThe logical operators AND, XOR, and OR among procedural relations enable specification of elaborate process precondition and postcondition. Separate, non-touching links shall have the semantics of logical AND. Here, unlocking the safe requires all three keys. Logical XOR and OR procedural li... | Wikipedia - Object Process Methodology | null | null | null |
The link fan end that is common to the links shall be the convergent link end. The link end that is not common to the links shall be the divergent link end. The XOR operator shall mean that exactly one of the things in the span of the link fan exists, if the divergent link end has objects, or happens, if the divergent ... | Wikipedia - Object Process Methodology | null | null | null |
Graphically, a dashed arc across the links in the link fan with the arc focal point at the convergent end point of contact shall denote the XOR operator. The OR operator shall mean that at least one of the two or more things in the span of the link fan exists, if the divergent link end has objects, or happens, if the d... | Wikipedia - Object Process Methodology | null | null | null |
Logical Damage or the inability to view photos can occur for several reasons. The most common reasons are: Deletion of photos Corruption of the boot sector of media Corruption of file system Disk formatting Move or copy errors | Wikipedia - Photo recovery | null | null | null |
Logical acquisition implies a bit-by-bit copy of logical storage objects (e.g., directories and files) that reside on a logical storage (e.g., a file system partition). Logical acquisition has the advantage that system data structures are easier for a tool to extract and organize. Logical extraction acquires informatio... | Wikipedia - Mobile device forensics | null | null | null |
Logical behaviorism is called "logical", after the idea adopted by Bertrand Russell, that mathematics can be described in terms of formal logic, using Set Theory, and thus make it "scientific", "provable", "specific", consistent and "truthful". In a similar way, it was thought by the Vienna Circle that the phenomena of... | Wikipedia - Logical behaviorism | null | null | null |
Logical clocks are useful in computation analysis, distributed algorithm design, individual event tracking, and exploring computational progress. | Wikipedia - Logical clocks | null | null | null |
Logical conjunction is an operation on two logical values, typically the values of two propositions, that produces a value of true if and only if (also known as iff) both of its operands are true.The conjunctive identity is true, which is to say that AND-ing an expression with true will never change the value of the ex... | Wikipedia - Conjunct (logic) | null | null | null |
Logical conjunction is an operation on two logical values, typically the values of two propositions, that produces a value of true if both of its operands are true. The truth table for p AND q (also written as p ∧ q, Kpq, p & q, or p ⋅ {\displaystyle \cdot } q) is as follows: In ordinary language terms, if both p and q... | Wikipedia - Logical truth table | null | null | null |
Logical connective Converse implication Converse nonimplication Exclusive or Logical NOR Logical biconditional Logical conjunction Logical disjunction Material implication Material nonimplication Negation Sheffer stroke | Wikipedia - Outline of logic | null | null | null |
Logical connectives are found in natural languages. In English for example, some examples are "and" (conjunction), "or" (disjunction), "not" (negation) and "if" (but only when used to denote material conditional). The following is an example of a very simple inference within the scope of propositional logic: Premise 1:... | Wikipedia - Truth-functional propositional logic | null | null | null |
Conclusion: It's cloudy.Both premises and the conclusion are propositions. The premises are taken for granted, and with the application of modus ponens (an inference rule), the conclusion follows. As propositional logic is not concerned with the structure of propositions beyond the point where they cannot be decomposed... | Wikipedia - Truth-functional propositional logic | null | null | null |
Not only that, but they will also correspond with any other inference of this form, which will be valid on the same basis this inference is. Propositional logic may be studied through a formal system in which formulas of a formal language may be interpreted to represent propositions. A system of axioms and inference ru... | Wikipedia - Truth-functional propositional logic | null | null | null |
These derived formulas are called theorems and may be interpreted to be true propositions. A constructed sequence of such formulas is known as a derivation or proof and the last formula of the sequence is the theorem. The derivation may be interpreted as proof of the proposition represented by the theorem. | Wikipedia - Truth-functional propositional logic | null | null | null |
When a formal system is used to represent formal logic, only statement letters (usually capital roman letters such as P {\displaystyle P} , Q {\displaystyle Q} and R {\displaystyle R} ) are represented directly. The natural language propositions that arise when they're interpreted are outside the scope of the system, a... | Wikipedia - Truth-functional propositional logic | null | null | null |
The principle of bivalence and the law of excluded middle are upheld. Truth-functional propositional logic defined as such and systems isomorphic to it are considered to be zeroth-order logic. However, alternative propositional logics are also possible. For more, see Other logical calculi below. | Wikipedia - Truth-functional propositional logic | null | null | null |
Logical consistency is the presence of logical relationships and interdependence between the variables. This editing requires a certain understanding around the dataset and the ability to identify errors in data based on previous reports or information. This type of data editing is used to account for the differences b... | Wikipedia - Data editing | null | null | null |
Logical constants, including logical connectives and quantifiers, can all be reduced conceptually to logical truth. For instance, two statements or more are logically incompatible if, and only if their conjunction is logically false. One statement logically implies another when it is logically incompatible with the neg... | Wikipedia - Logical truth | null | null | null |
The opposite statements must contradict one another. In this way all logical connectives can be expressed in terms of preserving logical truth. The logical form of a sentence is determined by its semantic or syntactic structure and by the placement of logical constants. Logical constants determine whether a statement i... | Wikipedia - Logical truth | null | null | null |
Logical controls (also called technical controls) use software and data to monitor and control access to information and computing systems. Passwords, network and host-based firewalls, network intrusion detection systems, access control lists, and data encryption are examples of logical controls.An important logical co... | Wikipedia - Information security policies | null | null | null |
Violations of this principle can also occur when an individual collects additional access privileges over time. This happens when employees' job duties change, employees are promoted to a new position, or employees are transferred to another department. The access privileges required by their new duties are frequently ... | Wikipedia - Information security policies | null | null | null |
Logical coupling (or evolutionary coupling or change coupling) analysis exploits the release history of a software system to find change patterns among modules or classes: e.g., entities that are likely to be changed together or sequences of changes (a change in a class A is always followed by a change in a class B). | Wikipedia - Data coupling | null | null | null |
Logical data models represent the abstract structure of a domain of information. They are often diagrammatic in nature and are most typically used in business processes that seek to capture things of importance to an organization and how they relate to one another. Once validated and approved, the logical data model ca... | Wikipedia - Logical schema | null | null | null |
Even so, since the logical data model anticipates implementation on a specific computing system, the content of the logical data model is adjusted to achieve certain efficiencies. The term 'Logical Data Model' is sometimes used as a synonym of 'domain model' or as an alternative to the domain model. While the two conce... | Wikipedia - Logical schema | null | null | null |
Logical disjunction is an operation on two logical values, typically the values of two propositions, that produces a value of true if at least one of its operands is true. The truth table for p OR q (also written as p ∨ q, Apq, p || q, or p + q) is as follows: Stated in English, if p, then p ∨ q is p, otherwise p ∨ q i... | Wikipedia - Logical truth table | null | null | null |
Logical disks can be defined at various levels in the storage infrastructure. | Wikipedia - Logical device | null | null | null |
Logical empiricism (also logical positivism or neopositivism) was an early 20th-century attempt to synthesize the essential ideas of British empiricism (e.g. a strong emphasis on sensory experience as the basis for knowledge) with certain insights from mathematical logic that had been developed by Gottlob Frege and Lud... | Wikipedia - Empirical analysis | null | null | null |
This gave rise to what they saw as metaphysical pseudoproblems and other conceptual confusions. By combining Frege's thesis that all mathematical truths are logical with the early Wittgenstein's idea that all logical truths are mere linguistic tautologies, they arrived at a twofold classification of all propositions: t... | Wikipedia - Empirical analysis | null | null | null |
Any sentence that is not purely logical, or is unverifiable, is devoid of meaning. As a result, most metaphysical, ethical, aesthetic and other traditional philosophical problems came to be considered pseudoproblems.In the extreme empiricism of the neopositivists—at least before the 1930s—any genuinely synthetic assert... | Wikipedia - Empirical analysis | null | null | null |
That is, instead of translating sentences about physical objects into sense-data, such sentences were to be translated into so-called protocol sentences, for example, "X at location Y and at time T observes such and such". The central theses of logical positivism (verificationism, the analytic–synthetic distinction, re... | Wikipedia - Empirical analysis | null | null | null |
Logical equality (also known as biconditional or exclusive nor) is an operation on two logical values, typically the values of two propositions, that produces a value of true if both operands are false or both operands are true. The truth table for p XNOR q (also written as p ↔ q, Epq, p = q, or p ≡ q) is as follows: S... | Wikipedia - Logical truth table | null | null | null |
Logical equality (also known as biconditional) is an operation on two logical values, typically the values of two propositions, that produces a value of true if and only if both operands are false or both operands are true. | Wikipedia - Material biconditional | null | null | null |
Logical equality is an operation on two logical values, typically the values of two propositions, that produces a value of true if and only if both operands are false or both operands are true. The truth table of p EQ q (also written as p = q, p ↔ q, Epq, p ≡ q, or p == q) is as follows: | Wikipedia - Logical equality | null | null | null |
Logical equivalence is different from material equivalence. Formulas p {\displaystyle p} and q {\displaystyle q} are logically equivalent if and only if the statement of their material equivalence ( p ↔ q {\displaystyle p\leftrightarrow q} ) is a tautology.The material equivalence of p {\displaystyle p} and q {\display... | Wikipedia - Logically equivalent | null | null | null |
Logical extraction usually does not produce any deleted information, due to it normally being removed from the phone's file system. However, in some cases—particularly with platforms built on SQLite, such as iOS and Android—the phone may keep a database file of information which does not overwrite the information but s... | Wikipedia - Mobile device forensics | null | null | null |
Logical identity is an operation on one logical value p, for which the output value remains p. The truth table for the logical identity operator is as follows: | Wikipedia - Truth table | null | null | null |
Logical implication and the material conditional are both associated with an operation on two logical values, typically the values of two propositions, which produces a value of false if the first operand is true and the second operand is false, and a value of true otherwise. The truth table associated with the logical... | Wikipedia - Truth table | null | null | null |
Logical languages are meant to allow (or enforce) unambiguous statements. They are typically based on predicate logic but can also be based on any system of formal logic. The two best-known logical languages are the predicate languages Loglan and its successor Lojban. They both aim to eliminate syntactical ambiguity an... | Wikipedia - Engineered language | null | null | null |
Logical negation is an operation on one logical value, typically the value of a proposition, that produces a value of true if its operand is false and a value of false if its operand is true. The truth table for NOT p (also written as ¬p, Np, Fpq, or ~p) is as follows: | Wikipedia - Logical truth table | null | null | null |
Logical operator – Truth table – De Morgan's laws – Open sentence – List of topics in logic – | Wikipedia - Outline of discrete mathematics | null | null | null |
Logical operators are implemented as logic gates in digital circuits. Practically all digital circuits (the major exception is DRAM) are built up from NAND, NOR, NOT, and transmission gates. NAND and NOR gates with 3 or more inputs rather than the usual 2 inputs are fairly common, although they are logically equivalent... | Wikipedia - Truth-functional logic | null | null | null |
All other operators are implemented by breaking them down into a logically equivalent combination of 2 or more of the above logic gates. The "logical equivalence" of "NAND alone", "NOR alone", and "NOT and AND" is similar to Turing equivalence. The fact that all truth functions can be expressed with NOR alone is demons... | Wikipedia - Truth-functional logic | null | null | null |
Logical or Boolean expressions involving conjunctions (AND operations), disjunctions (OR operations), exclusive disjunctions, equivalences, conditionals, etc. arise in the analysis of fault trees and event trees common in risk assessments. If the probabilities of events are characterized by intervals, as suggested by B... | Wikipedia - Probability bounds analysis | null | null | null |
In this case, we can infer at least that the probability of the joint event A & B is surely within the interval P(A & B) = env(max(0, a+b−1), min(a, b)) = env(max(0, +−1), min(, )) = env(, ) = env(, ) = where env(, ) is . Likewise, the probability of the disjunction is surely in the interval P(A v B) = a + b − a × b = ... | Wikipedia - Probability bounds analysis | null | null | null |
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