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It has become more popular amongst the general public. In an online poll conducted by Nature magazine, 8.8% of 1400 corresponding readers admitted use of modafinil for non-medical reasons. Their reasoning behind its use was for increasing concentration and focus on a specific task or to counteract sleep deficit and jet... | Wikipedia - Neuroenhancement | null | null | null |
A comparison between the sales of modafinil to the number of patients revealed a disproportionate ratio, indicating high abuse.Modafinil has been reported to improve executive function in healthy non-sleep-deprived individuals, as well as potentially improving attention and learning and memory. Effects on sleep-deprive... | Wikipedia - Neuroenhancement | null | null | null |
Since the majority of these trials were conducted on military personnel, further research needs to be conducted on the effects of modafinil on the general population. Modafinil may impair one's self-monitoring ability. | Wikipedia - Neuroenhancement | null | null | null |
A common trend found in research studies indicated that participants rated their performances on cognitive tests higher than it was, suggesting an "overconfidence" effect.Modafinil is becoming increasingly popular among the general population. Apart from a consumer's want to increase his neurological performance, there... | Wikipedia - Neuroenhancement | null | null | null |
Modafinil is also one of the more easily available neuroenhancement drugs in the market today. Modafinil can be bought from many websites – mostly from Asian countries – as well as from darknet markets. Modafinil first came into public attention when world champion runner Kelli White was tested positive for illegally c... | Wikipedia - Neuroenhancement | null | null | null |
Modal interpretations of quantum mechanics were first conceived of in 1972 by Bas van Fraassen, in his paper "A formal approach to the philosophy of science". Van Fraassen introduced a distinction between a dynamical state, which describes what might be true about a system and which always evolves according to the Schr... | Wikipedia - Modal interpretation | null | null | null |
The Stanford Encyclopedia of Philosophy describes several versions, including proposals by Kochen, Dieks, Clifton, Dickson, and Bub. According to Michel Bitbol, Schrödinger's views on how to interpret quantum mechanics progressed through as many as four stages, ending with a non-collapse view that in respects resembles... | Wikipedia - Modal interpretation | null | null | null |
Modal logic Alethic logic Deontic logic Doxastic logic Epistemic logic Temporal logic | Wikipedia - Outline of logic | null | null | null |
Modal logic deals with the logic of possibility as well as necessity. Paul Oppenheimer and Edward N. Zalta note that, for Anselm's Proslogion chapter 2, "Many recent authors have interpreted this argument as a modal one." In the phrase 'that than which none greater can be conceived', the word 'can' could be construed a... | Wikipedia - Ontological arguments for the existence of God | null | null | null |
Modal logic has also been interpreted using topological structures. For instance, the Interior Semantics interprets formulas of modal logic as follows. A topological model is a tuple X = ⟨ X , τ , V ⟩ {\displaystyle \mathrm {X} =\langle X,\tau ,V\rangle } where ⟨ X , τ ⟩ {\displaystyle \langle X,\tau \rangle } is a top... | Wikipedia - Rule of necessitation | null | null | null |
Modal logic is characterized by the modal operators ◻ p {\displaystyle \Box p} (box p) asserting that p {\displaystyle p\,\!} is necessarily the case, and ◊ p {\displaystyle \Diamond p} (diamond p) asserting that p {\displaystyle p\,\!} is possibly the case. Dynamic logic extends this by associating to every action a {... | Wikipedia - Dynamic logic (modal logic) | null | null | null |
the modal operators {\displaystyle \,\!} and ⟨ a ⟩ {\displaystyle \langle a\rangle \,\!} , thereby making it a multimodal logic. | Wikipedia - Dynamic logic (modal logic) | null | null | null |
The meaning of p {\displaystyle p\,\!} is that after performing action a {\displaystyle a\,\!} it is necessarily the case that p {\displaystyle p\,\!} | Wikipedia - Dynamic logic (modal logic) | null | null | null |
holds, that is, a {\displaystyle a\,\!} must bring about p {\displaystyle p\,\!} . | Wikipedia - Dynamic logic (modal logic) | null | null | null |
The meaning of ⟨ a ⟩ p {\displaystyle \langle a\rangle p\,\!} is that after performing a {\displaystyle a\,\!} it is possible that p {\displaystyle p\,\!} | Wikipedia - Dynamic logic (modal logic) | null | null | null |
holds, that is, a {\displaystyle a\,\!} might bring about p {\displaystyle p\,\!} . | Wikipedia - Dynamic logic (modal logic) | null | null | null |
These operators dual to each other, which means they are related by p ↔ ¬ ⟨ a ⟩ ¬ p {\displaystyle p\leftrightarrow \neg \langle a\rangle \neg p\,\!} and ⟨ a ⟩ p ↔ ¬ ¬ p {\displaystyle \langle a\rangle p\leftrightarrow \neg \neg p\,\!} , analogously to the relationship between the universal ( ∀ {\displaystyle \forall... | Wikipedia - Dynamic logic (modal logic) | null | null | null |
) and existential ( ∃ {\displaystyle \exists \,\!} ) quantifiers. Dynamic logic permits compound actions built up from smaller actions. | Wikipedia - Dynamic logic (modal logic) | null | null | null |
While the basic control operators of any programming language could be used for this purpose, Kleene's regular expression operators are a good match to modal logic. Given actions a {\displaystyle a\,\!} and b {\displaystyle b\,\!} | Wikipedia - Dynamic logic (modal logic) | null | null | null |
, the compound action a ∪ b {\displaystyle a\cup b\,\!} , choice, also written a + b {\displaystyle a+b\,\!} or a | b {\displaystyle a|b\,\!} | Wikipedia - Dynamic logic (modal logic) | null | null | null |
, is performed by performing one of a {\displaystyle a\,\!} or b {\displaystyle b\,\!} . | Wikipedia - Dynamic logic (modal logic) | null | null | null |
The compound action a ; b {\displaystyle a{\mathbin {;}}b\,\!} , sequence, is performed by performing first a {\displaystyle a\,\!} and then b {\displaystyle b\,\!} | Wikipedia - Dynamic logic (modal logic) | null | null | null |
. The compound action a ∗ {\displaystyle a{*}\,\!} , iteration, is performed by performing a {\displaystyle a\,\!} | Wikipedia - Dynamic logic (modal logic) | null | null | null |
zero or more times, sequentially. The constant action 0 {\displaystyle 0\,\!} or BLOCK does nothing and does not terminate, whereas the constant action 1 {\displaystyle 1\,\!} or SKIP or NOP, definable as 0 ∗ {\displaystyle 0{*}\,\!} , does nothing but does terminate. | Wikipedia - Dynamic logic (modal logic) | null | null | null |
Modal logic is historically the earliest area in the study of intensional logic, originally motivated by formalizing "necessity" and "possibility" (recently, this original motivation belongs to alethic logic, just one of the many branches of modal logic).Modal logic can be regarded also as the most simple appearance of... | Wikipedia - Intensional logic | null | null | null |
The answer to this question characterizes the precise nature of the system, and many exist, answering moral and temporal questions (in a temporal system, the accessibility relation relates states or 'instants' and only the future is accessible from a given moment. The Necessity operator corresponds to 'for all future m... | Wikipedia - Intensional logic | null | null | null |
I.e., Something is necessary if and only if its negation is not possible, i.e. inconsistent. Syntactically, the operators are not quantifiers, they do not bind variables, but govern whole sentences. This gives rise to the problem of Referential Opacity, i.e. the problem of quantifying over or 'into' modal contexts. | Wikipedia - Intensional logic | null | null | null |
The operators appear in the grammar as sentential functors, they are called modal operators.As mentioned, precursors of modal logic include Aristotle. Medieval scholastic discussions accompanied its development, for example about de re versus de dicto modalities: said in recent terms, in the de re modality the modal fu... | Wikipedia - Intensional logic | null | null | null |
Modal logic is most commonly interpreted in terms of possible world semantics or Kripke structures. This semantics carries over naturally to dynamic logic by interpreting worlds as states of a computer in the application to program verification, or states of our environment in applications to linguistics, AI, etc. One ... | Wikipedia - Dynamic logic (modal logic) | null | null | null |
An axiom system is sound when all its axioms are valid and its inference rules are sound. An axiom system is complete when every valid formula is derivable as a theorem of that system. These concepts apply to all systems of logic including dynamic logic. | Wikipedia - Dynamic logic (modal logic) | null | null | null |
Modal logics have begun to be used in areas of the humanities such as literature, poetry, art and history. | Wikipedia - Rule of necessitation | null | null | null |
Modal logics include additional modal operators, such as an operator which states that a particular formula is not only true, but necessarily true. Although modal logic is not often used to axiomatize mathematics, it has been used to study the properties of first-order provability and set-theoretic forcing.Intuitionist... | Wikipedia - Symbolic Logic | null | null | null |
Modal predicate logic (a combination of modal logic and predicate logic) is used as the formal method of knowledge representation. The connectives from the language model are logically true (indicated by the "L" modal operator) and connective added at the knowledge elicitation stage are possibility true (indicated by t... | Wikipedia - Logico-linguistic modeling | null | null | null |
Modal share data is usually obtained by travel surveys, which are often conducted by local governments, using different methodologies. Sampling and interviewing techniques, definitions, the extent of geographical areas and other methodological differences can influence comparability. Most typical surveys refer to the m... | Wikipedia - Modal shift | null | null | null |
Modal testing or experimental modal analysis (EMA) was already essential in verification and validation of pure mechanical systems. It is a well-established technology that has been used for many applications, such as structural dynamics, vibro-acoustics, vibration fatigue analysis, and more, often to improve finite el... | Wikipedia - Predictive engineering analytics | null | null | null |
As part of predictive engineering analytics, modal testing has to evolve, delivering results that increase simulation realism and handle the multi-physical nature of the modern, complex products. Testing has to help to define realistic model parameters, boundary conditions and loads. Besides mechanical parameters, diff... | Wikipedia - Predictive engineering analytics | null | null | null |
Modalities of necessity and possibility are called alethic modalities. They are also sometimes called special modalities, from the Latin species. Modal logic was first developed to deal with these concepts, and only afterward was extended to others. | Wikipedia - Alethic logic | null | null | null |
For this reason, or perhaps for their familiarity and simplicity, necessity and possibility are often casually treated as the subject matter of modal logic. Moreover, it is easier to make sense of relativizing necessity, e.g. to legal, physical, nomological, epistemic, and so on, than it is to make sense of relativizin... | Wikipedia - Alethic logic | null | null | null |
Intuitionistic modal logic treats possibility and necessity as not perfectly symmetric. For example, suppose that while walking to the convenience store we pass Friedrich's house, and observe that the lights are off. On the way back, we observe that they have been turned on. | Wikipedia - Alethic logic | null | null | null |
"Somebody or something turned the lights on" is necessary. "Friedrich turned the lights on", "Friedrich's roommate Max turned the lights on" and "A burglar named Adolf broke into Friedrich's house and turned the lights on" are contingent. All of the above statements are possible. | Wikipedia - Alethic logic | null | null | null |
It is impossible that Socrates (who has been dead for over two thousand years) turned the lights on. (Of course, this analogy does not apply alethic modality in a truly rigorous fashion; for it to do so, it would have to axiomatically make such statements as "human beings cannot rise from the dead", "Socrates was a hum... | Wikipedia - Alethic logic | null | null | null |
Model Actions (Compare Models, Convert Model, Merge Models, Generate Change Script) Version Control System (Apache Subversion) Naming Conventions Auto Layout Multiple Workspaces Scripting and Customization Automation Object Gallery Full Unicode Support Integration with Toad for Oracle | Wikipedia - Toad Data Modeler | null | null | null |
Model categories were defined by Quillen as an axiomatization of homotopy theory that applies to topological spaces, but also to many other categories in algebra and geometry. The example that started the subject is the category of topological spaces with Serre fibrations as fibrations and weak homotopy equivalences as... | Wikipedia - Weak equivalence (homotopy theory) | null | null | null |
For simply connected topological spaces X and Y, a map f: X → Y is a weak homotopy equivalence if and only if the induced homomorphism f*: Hn(X,Z) → Hn(Y,Z) on singular homology groups is bijective for all n. Likewise, for simply connected spaces X and Y, a map f: X → Y is a weak homotopy equivalence if and only if the... | Wikipedia - Weak equivalence (homotopy theory) | null | null | null |
Indeed, this homotopy category is equivalent to the category of CW complexes with morphisms being homotopy classes of continuous maps. Many other model structures on the category of topological spaces have also been considered. For example, in the Strøm model structure on topological spaces, the fibrations are the Hure... | Wikipedia - Weak equivalence (homotopy theory) | null | null | null |
Model checkers can also be used for test case generation. Originally model checking was developed as a technique to check if a property of a specification is valid in a model. When used for testing, a model of the system under test, and a property to test is provided to the model checker. | Wikipedia - Model-based testing | null | null | null |
Within the procedure of proofing, if this property is valid in the model, the model checker detects witnesses and counterexamples. A witness is a path where the property is satisfied, whereas a counterexample is a path in the execution of the model where the property is violated. These paths can again be used as test c... | Wikipedia - Model-based testing | null | null | null |
Model checking and satisfiability against an LTL formula are PSPACE-complete problems. LTL synthesis and the problem of verification of games against an LTL winning condition is 2EXPTIME-complete. | Wikipedia - Linear Temporal Logic | null | null | null |
Model checking is also studied in the field of computational complexity theory. Specifically, a first-order logical formula is fixed without free variables and the following decision problem is considered: Given a finite interpretation, for instance, one described as a relational database, decide whether the interpreta... | Wikipedia - Symbolic Model Verification | null | null | null |
Model checking of finite state systems can often be translated into various operations on Büchi automata. In addition to the closure operations presented above, the following are some useful operations for the applications of Büchi automata. DeterminizationSince deterministic Büchi automata are strictly less expressive... | Wikipedia - Büchi automaton | null | null | null |
Emptiness checkingThe language recognized by a Büchi automaton is non-empty if and only if there is a final state that is both reachable from the initial state, and lies on a cycle. An effective algorithm that can check emptiness of a Büchi automaton: Consider the automaton as a directed graph and decompose it into str... | Wikipedia - Büchi automaton | null | null | null |
Check whether there is a non-trivial SCC that is reachable and contains a final state.Each of the steps of this algorithm can be done in time linear in the automaton size, hence the algorithm is clearly optimal. MinimizationMinimizing deterministic Büchi automata (i.e., given a deterministic Büchi automaton, finding a ... | Wikipedia - Büchi automaton | null | null | null |
Model criteria selection will select or model that more approximate true model. The Akaike's Information Criterion (AIC) and The Bayesian Information Criterion (BIC) are examples of asymptotically efficient criteria. | Wikipedia - Biostatistics | null | null | null |
Model is the highest level of an MDS instance. It is the primary container for specific groupings of master data. In many ways it is very similar to the idea of a database. Entities are containers created within a model. | Wikipedia - Microsoft SQL Server Master Data Services | null | null | null |
Entities provide a home for members, and are in many ways analogous to database tables. (e.g. Customer) Members are analogous to the records in a database table (Entity) e.g. Will Smith. Members are contained within entities. | Wikipedia - Microsoft SQL Server Master Data Services | null | null | null |
Each member is made up of two or more attributes. Attributes are analogous to the columns within a database table (Entity) e.g. Surname. Attributes exist within entities and help describe members (the records within the table). | Wikipedia - Microsoft SQL Server Master Data Services | null | null | null |
Name and Code attributes are created by default for each entity and serve to describe and uniquely identify leaf members. Attributes can be related to other attributes from other entities which are called 'domain-based' attributes. This is similar to the concept of a foreign key.Other attributes however, will be of typ... | Wikipedia - Microsoft SQL Server Master Data Services | null | null | null |
Attribute Groups are explicitly defined collections of particular attributes. Say you have an entity "customer" that has 50 attributes — too much information for many of your users. | Wikipedia - Microsoft SQL Server Master Data Services | null | null | null |
Attribute groups enable the creation of custom sets of hand-picked attributes that are relevant for specific audiences. (e.g. "customer - delivery details" that would include just their name and last known delivery address). | Wikipedia - Microsoft SQL Server Master Data Services | null | null | null |
This is very similar to a database view. Hierarchies organize members into either Derived or Explicit hierarchical structures. Derived hierarchies, as the name suggests, are derived by the MDS engine based on the relationships that exist between attributes. | Wikipedia - Microsoft SQL Server Master Data Services | null | null | null |
Explicit hierarchies are created by hand using both leaf and consolidated members. Business Rules can be created and applied against model data to ensure that custom business logic is adhered to. In order to be committed into the system data must pass all business rule validations applied to them. | Wikipedia - Microsoft SQL Server Master Data Services | null | null | null |
e.g. Within the Customer Entity you may want to create a business rule that ensures all members of the 'Country' Attribute contain either the text "USA" or "Canada". The Business Rule once created and ran will then verify all the data is correct before it accepts it into the approved model. Versions provide system owne... | Wikipedia - Microsoft SQL Server Master Data Services | null | null | null |
Model live steam locomotives predominate as the most popular modelling subject in model engineering. As such they deserve special mention. Live steam refers to the use of pressurised steam, heated in the model locomotive's own boiler, to turn the wheels via miniature steam cylinders. Not all locomotives are live steam ... | Wikipedia - Model engineering | null | null | null |
The criteria however is that the model is self-propelled, hence requiring an engine to be made or motor to be installed, as opposed to the (usually much smaller) model trains that rely on an electrified track to run. Live steam (and other self-propelled) locomotives are made in a range of sizes, or scales, according to... | Wikipedia - Model engineering | null | null | null |
The larger gauges are usually found on club tracks or miniature railways, and are intended to haul the driver and passengers. Popular 'garden gauges' are '0' gauge, '1' gauge and 2½" gauge (ridable). Usual club track gauges are 3½", 5" and 7¼", and 4¾" and 7½" in North America. | Wikipedia - Model engineering | null | null | null |
Larger miniature railway gauges such as 10¼" and 15" gauge are more common in zoo and park settings or as public passenger-hauling lines such as the Romney, Hythe & Dymchurch Railway. Various gauges have existed over time. | Wikipedia - Model engineering | null | null | null |
3½" and 5" gauge were proposed in 1898 as standard model gauges, although 5" gauge only became popular after the Second World War, along with 7¼" gauge.Not all model live steam locomotive enthusiasts are model engineers (and vice versa). There are many live steam enthusiasts who prefer running the models on a track rat... | Wikipedia - Model engineering | null | null | null |
Model organism databases generate, source and collate species-specific information integratively by combining expert knowledge with literature curation and bioinformatics. Services provided to biological research communities include: Genome sequence annotations Location of genes and regulatory regions in the genome Fun... | Wikipedia - Model organism database | null | null | null |
Model organism databases provide in-depth biological data for intensively studied organisms. PomBase: the knowledgebase for the fission yeast Schizosaccharomyces pombe SubtiWiki: integrated database for the model bacterium Bacillus subtilis | Wikipedia - List of biological databases | null | null | null |
Model ships are important in the field of engineering, where analytical modeling of a new design needs to be verified. Principals of similitude are used to apply measured data from a scaled model to the full scale design. Models are often tested in special facilities known as model basins. | Wikipedia - Model ship | null | null | null |
Model theory Proof theory Set theory Type theory Recursion theory Theory of Computation List of logic symbols Second-order arithmetic is a collection of axiomatic systems that formalize the natural numbers and their subsets. Peano axioms also known as the Dedekind–Peano axioms or the Peano postulates, are axioms for th... | Wikipedia - Outline of mathematics | null | null | null |
Model theory analyzes formulae with respect to particular classes of interpretation in suitable mathematical structures. On this reading, formula is valid if all such interpretations make it true. An inference is valid if all interpretations that validate the premises validate the conclusion. This is known as semantic ... | Wikipedia - Validity (logic) | null | null | null |
Model theory generalizes the notion of algebraic extension to arbitrary theories: an embedding of M into N is called an algebraic extension if for every x in N there is a formula p with parameters in M, such that p(x) is true and the set { y ∈ N ∣ p ( y ) } {\displaystyle \left\{y\in N\mid p(y)\right\}} is finite. It t... | Wikipedia - Algebraic field extension | null | null | null |
Model theory studies the models of various formal theories. Here a theory is a set of formulas in a particular formal logic and signature, while a model is a structure that gives a concrete interpretation of the theory. Model theory is closely related to universal algebra and algebraic geometry, although the methods of... | Wikipedia - Symbolic Logic | null | null | null |
The method of quantifier elimination can be used to show that definable sets in particular theories cannot be too complicated. Tarski established quantifier elimination for real-closed fields, a result which also shows the theory of the field of real numbers is decidable. | Wikipedia - Symbolic Logic | null | null | null |
He also noted that his methods were equally applicable to algebraically closed fields of arbitrary characteristic. A modern subfield developing from this is concerned with o-minimal structures. Morley's categoricity theorem, proved by Michael D. Morley, states that if a first-order theory in a countable language is cat... | Wikipedia - Symbolic Logic | null | null | null |
A trivial consequence of the continuum hypothesis is that a complete theory with less than continuum many nonisomorphic countable models can have only countably many. Vaught's conjecture, named after Robert Lawson Vaught, says that this is true even independently of the continuum hypothesis. Many special cases of this ... | Wikipedia - Symbolic Logic | null | null | null |
Model theory – The study of interpretation of formal systems. Interpretation (logic) Logical validity Non-standard model Normal model Model Semantic consequence Truth value | Wikipedia - Outline of logic | null | null | null |
Model-based systems engineering (MBSE) is the formalised application of modelling to support system requirements, design, analysis, verification and validation activities beginning in the conceptual design phase and continuing throughout development and later lifecycle phases. It is also possible to take a model-based ... | Wikipedia - Software requirements | null | null | null |
Model-checking tools face a combinatorial blow up of the state-space, commonly known as the state explosion problem, that must be addressed to solve most real-world problems. There are several approaches to combat this problem. Symbolic algorithms avoid ever explicitly constructing the graph for the finite state machin... | Wikipedia - Model checkers | null | null | null |
The use of binary decision diagrams (BDDs) was made popular by the work of Ken McMillan and the development of open-source BDD manipulation libraries such as CUDD and BuDDy. Bounded model-checking algorithms unroll the FSM for a fixed number of steps, k {\displaystyle k} , and check whether a property violation can occ... | Wikipedia - Model checkers | null | null | null |
The process can be repeated with larger and larger values of k {\displaystyle k} until all possible violations have been ruled out (cf. Iterative deepening depth-first search). Abstraction attempts to prove properties of a system by first simplifying it. The simplified system usually does not satisfy exactly the same p... | Wikipedia - Model checkers | null | null | null |
Generally, one requires the abstraction to be sound (the properties proved on the abstraction are true of the original system); however, sometimes the abstraction is not complete (not all true properties of the original system are true of the abstraction). An example of abstraction is to ignore the values of non-boolea... | Wikipedia - Model checkers | null | null | null |
When a violation (i.e. counterexample) is found, the tool analyzes it for feasibility (i.e., is the violation genuine or the result of an incomplete abstraction?). If the violation is feasible, it is reported to the user. If it is not, the proof of infeasibility is used to refine the abstraction and checking begins aga... | Wikipedia - Model checkers | null | null | null |
Model-free techniques provide a complement to model-based methods, which employ reductionist strategies of reality-simplification. The former combine, evolve, ensemble and train algorithms dynamically adapting to the contextual affinities of a process and learning the intrinsic characteristics of the observations.For e... | Wikipedia - Inductive statistics | null | null | null |
Modeled in part on the ATBI concept, the Hawaii Biological Survey began in 1992 with the aim of "developing a complete inventory of plants, animals and other organisms within the State of Hawaii.” The Hawaii Biological Survey is differentiated from an ATBI in that it places more emphasis on developing inventories from ... | Wikipedia - All-taxa biodiversity inventory | null | null | null |
Modeling and analysis of transport phenomena is essential for many industrial applications. Transport phenomena involve fluid dynamics, heat transfer and mass transfer, which are governed mainly by momentum transfer, energy transfer and transport of chemical species, respectively. Models often involve separate consider... | Wikipedia - Chemical Technology | null | null | null |
Modeling inputs is necessary to come up with a meaningful description of a chemical's pharmacokinetics. The following examples show how to write the corresponding equations. | Wikipedia - Physiologically based pharmacokinetic modelling | null | null | null |
Modeling is a general technique for abstracting a real-world problem into a framework or paradigm that assists with solution. | Wikipedia - Algorithmic technique | null | null | null |
Modeling of actual finish time, while feasible, is computationally intensive. The model needs to be substantially recomputed every time a packet is selected for transmission and every time a new packet arrives into any queue. To reduce computational load, the concept of virtual time is introduced. Finish time for each ... | Wikipedia - Fair scheduling | null | null | null |
While virtual time does not accurately model the time packets complete their transmissions, it does accurately model the order in which the transmissions must occur to meet the objectives of the full-featured model. Using virtual time, it is unnecessary to recompute the finish time for previously queued packets. Althou... | Wikipedia - Fair scheduling | null | null | null |
The virtual finish time for a newly queued packet is given by the sum of the virtual start time plus the packet's size. The virtual start time is the maximum between the previous virtual finish time of the same queue and the current instant. With a virtual finishing time of all candidate packets (i.e., the packets at t... | Wikipedia - Fair scheduling | null | null | null |
Modeling or participation in technological training are also found to be significant predictors of technological self efficacy. Although different types of training interventions have been associated with different gains; in general, research supports that seeing other individuals successfully perform the task at hand ... | Wikipedia - Technological self-efficacy | null | null | null |
Modelling Cancer Growth and DevelopmentMathematical modeling can provide useful context for the rational design, validation and prioritization of novel cancer drug targets and their combinations. Network-based modeling and multi-scale modeling have begun to show promise in facilitating the process of effective cancer d... | Wikipedia - Cancer systems biology | null | null | null |
ErbB3 was found to be the most sensitive node, leading to Akt activation; Akt regulates many biological processes, such as proliferation, apoptosis and growth, which are all relevant to tumor progression. This target driven modelling has paved way for first of its kind clinical trials. Bekkal et al. presented a nonline... | Wikipedia - Cancer systems biology | null | null | null |
The proliferative phase represents the complete cell cycle (G (1)-S-G (2)-M) of a population committed to divide at its end. The asymptotic behavior of solutions of the nonlinear model is analysed in two cases, exhibiting tissue homeostasis or tumor exponential growth. The model is simulated and its analytic prediction... | Wikipedia - Cancer systems biology | null | null | null |
Furthermore, advances in hardware and software have enabled the realization of clinically feasible, quantitative multimodality imaging of tissue pathophysiology. Earlier efforts relating to multimodality imaging of cancer have focused on the integration of anatomical and functional characteristics, such as PET-CT and s... | Wikipedia - Cancer systems biology | null | null | null |
Although important technical optimization and improved biological interpretation of multimodality imaging findings are needed, this approach can already be applied informatively in clinical trials of cancer therapeutics using existing tools. Cancer Genomics Statistical and mechanistic modelling of cancer progression an... | Wikipedia - Cancer systems biology | null | null | null |
Modelling is far from the only possible way to illustrate mathematical concepts. Giotto's Stefaneschi Triptych, 1320, illustrates recursion in the form of mise en abyme; the central panel of the triptych contains, lower left, the kneeling figure of Cardinal Stefaneschi, holding up the triptych as an offering. Giorgio d... | Wikipedia - Mathematical art | null | null | null |
Similarly, Escher's Print Gallery (1956) is a print which depicts a distorted city which contains a gallery which recursively contains the picture, and so ad infinitum. Magritte made use of spheres and cuboids to distort reality in a different way, painting them alongside an assortment of houses in his 1931 Mental Arit... | Wikipedia - Mathematical art | null | null | null |
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