Modal Logicians
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Modal Logicians
Modal may refer to: * Modal (textile), a textile made from spun cellulose fiber * Modal analysis, the study of the dynamic properties of structures under vibrational excitation * Modal bandwidth, in the discipline of telecommunications, refers to the signalling rate per distance unit * Modal haplotype, an ancestral haplotype derived from the DNA test results of a specific group of people * Modal jazz, jazz that uses musical modes rather than chord progressions as a harmonic framework * Modal logic, a type of formal logic that extends the standards of formal logic to include the elements of modality * Modal matrix, used in the diagonalization process involving eigenvalues and eigenvectors * Modal phenomena * Federal Transit Administration, Modal administration, used in Federal Agencies to describe sub-offices or "modes" * Mode of transport, Modal transportation, used in transit to describe multiple modes of transit available such as bus, trolley, train, ferry * Modal score, used in t ...
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Modal (textile)
Rayon is a semi-synthetic fiber, made from natural sources of regenerated cellulose fiber, cellulose, such as wood and related agricultural products. It has the same molecular structure as cellulose. It is also called viscose. Many types and grades of viscose fibers and films exist. Some imitate the feel and texture of natural fibers such as silk, wool, cotton, and linen. The types that resemble silk are often called Art silk, artificial silk. The fibre is used to make textiles for clothing and other purposes. Rayon production involves solubilizing cellulose to allow turning the fibers into required form. Three common ways to solubilize are the Cuprammonium rayon, cuprammonium process, not in use today, using ammoniacal solutions of copper salts; the viscose process, the most common today, using alkali and Carbon_disulfide, carbon sulfide; and the Lyocell process, using amine oxide. The last avoids the neurotoxic carbon sulfide of the viscose process but is also more expensive. ...
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Modal Analysis
Modal analysis is the study of the dynamic properties of systems in the frequency domain. Examples would include measuring the vibration of a car's body when it is attached to a shaker, or the noise pattern in a room when excited by a loudspeaker. Modern day experimental modal analysis systems are composed of 1) sensors such as transducers (typically accelerometers, load cells), or non contact via a Laser vibrometer, or stereophotogrammetric cameras 2) data acquisition system and an analog-to-digital converter front end (to digitize analog instrumentation signals) and 3) host PC (personal computer) to view the data and analyze it. Classically this was done with a SIMO (single-input, multiple-output) approach, that is, one excitation point, and then the response is measured at many other points. In the past a hammer survey, using a fixed accelerometer and a roving hammer as excitation, gave a MISO (multiple-input, single-output) analysis, which is mathematically identical to SI ...
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Modal Bandwidth
Modal bandwidth, in the discipline of telecommunications, refers to the maximal signaling rate for a given distance or – the other way around – the maximal distance for a given signaling rate. The signaling rate can typically be measured in MHz, and the modal bandwidth is the product of bandwidth and distance (typically expressed in MHz·km). For a cable with a certain modal bandwidth, the maximal frequency can be doubled when the distance is halved, and conversely. The modal bandwidth is derived from the modal dispersion Modal dispersion is a distortion mechanism occurring in multimode fibers and other waveguides, in which the signal is spread in time because the propagation velocity of the optical signal is not the same for all modes. Other names for this phenom ... of the fiber and the spectral linewidth of the laser: : f_\text \cdot L = \frac. Modal bandwidth is sometimes referred to as EMBc. {{DEFAULTSORT:Modal Bandwidth Telecommunication theory ...
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Modal Jazz
Modal jazz is jazz that makes use of musical modes, often modulating among them to accompany the chords instead of relying on one tonal center used across the piece. Although precedents exist, modal jazz was crystallized as a theory by composer George Russell in his 1953 book ''Lydian Chromatic Concept of Tonal Organization''. Though exerting influence to the present, modal jazz was most popular in the 1950s and 1960s, as evidenced by the success of Miles Davis's 1958 composition "Milestones" and 1959 album ''Kind of Blue'', and John Coltrane's quartet from 1960 to 1965;Henry Martin, Keith Waters (2008). ''Essential Jazz: The First 100 Years'', pp. 178-79. . both artists were directly inspired by Russell. Other performers of modal jazz include Chick Corea, Bill Evans, Herbie Hancock, Joe Henderson, Bobby Hutcherson, Pharoah Sanders, Woody Shaw, Wayne Shorter, McCoy Tyner, and Larry Young. History In bebop as well as in hard bop, musicians use chords to provide the background ...
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Modal Logic
Modal logic is a collection of formal systems developed to represent statements about necessity and possibility. It plays a major role in philosophy of language, epistemology, metaphysics, and natural language semantics. Modal logics extend other systems by adding unary operators \Diamond and \Box, representing possibility and necessity respectively. For instance the modal formula \Diamond P can be read as "possibly P" while \Box P can be read as "necessarily P". Modal logics can be used to represent different phenomena depending on what kind of necessity and possibility is under consideration. When \Box is used to represent epistemic necessity, \Box P states that P is epistemically necessary, or in other words that it is known. When \Box is used to represent deontic necessity, \Box P states that P is a moral or legal obligation. In the standard relational semantics for modal logic, formulas are assigned truth values relative to a ''possible world''. A formula's truth value at ...
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Modal Matrix
In linear algebra, the modal matrix is used in the diagonalization process involving eigenvalues and eigenvectors. Specifically the modal matrix M for the matrix A is the ''n'' × ''n'' matrix formed with the eigenvectors of A as columns in M. It is utilized in the similarity transformation : D = M^AM, where D is an ''n'' × ''n'' diagonal matrix with the eigenvalues of A on the main diagonal of D and zeros elsewhere. The matrix D is called the spectral matrix for A. The eigenvalues must appear left to right, top to bottom in the same order as their corresponding eigenvectors are arranged left to right in M. Example The matrix :A = \begin 3 & 2 & 0 \\ 2 & 0 & 0 \\ 1 & 0 & 2 \end has eigenvalues and corresponding eigenvectors : \lambda_1 = -1, \quad \, \mathbf b_1 = \left( -3, 6, 1 \right) , : \lambda_2 = 2, \qquad \mathbf b_2 = \left( 0, 0, 1 \right) , : \lambda_3 = 4, \qquad \mathbf b_3 = \left( 2, 1, 1 \right) . A diagonal matrix D, similar to A is :D = \begin - ...
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Modal Phenomena
Cymatics (from grc, κῦμα, translit=kyma, translation=wave) is a subset of modal vibrational phenomena. The term was coined by Hans Jenny (1904-1972), a Swiss follower of the philosophical school known as anthroposophy. Typically the surface of a plate, diaphragm, or membrane is vibrated, and regions of maximum and minimum displacement are made visible in a thin coating of particles, paste, or liquid. Different patterns emerge in the excitatory medium depending on the geometry of the plate and the driving frequency. The apparatus employed can be simple, such as the Chinese spouting bowl, in which copper handles are rubbed and cause the copper bottom elements to vibrate. Other examples include the Chladni Plate and the so-called cymascope. History On July 8, 1680, Robert Hooke was able to see the nodal patterns associated with the modes of vibration of glass plates. Hooke ran a bow along the edge of a glass plate covered with flour, and saw the nodal patterns emerge.
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Federal Transit Administration
The Federal Transit Administration (FTA) is an agency within the United States Department of Transportation (DOT) that provides financial and technical assistance to local public transportation systems. The FTA is one of ten modal administrations within the DOT. Headed by an Administrator who is appointed by the President of the United States, the FTA functions through Washington, D.C headquarters office and ten regional offices which assist transit agencies in all states, the District of Columbia, and the territories. Until 1991, it was known as the Urban Mass Transportation Administration (UMTA). Public transportation includes buses, subways, light rail, commuter rail, monorail, passenger ferry boats, trolleys, inclined railways, and people movers. The federal government, through the FTA, provides financial assistance to develop new transit systems and improve, maintain, and operate existing systems. The FTA oversees grants to state and local transit providers, primarily t ...
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Mode Of Transport
Mode of transport is a term used to distinguish between different ways of transportation or transporting people or goods. The different modes of transport are air, water, and land transport, which includes rails or railways, road and off-road transport. Other modes also exist, including pipelines, cable transport, and space transport. Human-powered transport and animal-powered transport are sometimes regarded as their own mode, but never fall into the other categories. In general, transportation is used for moving of people, animals, and other goods from one place to another. Means of transport, on the other hand, refers to the transport facilities used to carry people or cargo according to the chosen mode (animal, vehicle, car, airplane, ship, truck, train and so on and so forth). Each mode of transport has a fundamentally different technological solution, and some require a separate environment. Each mode has its own infrastructure, vehicles, transport operators and operations ...
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Modal Score
The mode is the value that appears most often in a set of data values. If is a discrete random variable, the mode is the value (i.e, ) at which the probability mass function takes its maximum value. In other words, it is the value that is most likely to be sampled. Like the statistical mean and median, the mode is a way of expressing, in a (usually) single number, important information about a random variable or a population. The numerical value of the mode is the same as that of the mean and median in a normal distribution, and it may be very different in highly skewed distributions. The mode is not necessarily unique to a given discrete distribution, since the probability mass function may take the same maximum value at several points , , etc. The most extreme case occurs in uniform distributions, where all values occur equally frequently. When the probability density function of a continuous distribution has multiple local maxima it is common to refer to all of the loca ...
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Modal Verb
A modal verb is a type of verb that contextually indicates a modality such as a ''likelihood'', ''ability'', ''permission'', ''request'', ''capacity'', ''suggestion'', ''order'', ''obligation'', or ''advice''. Modal verbs generally accompany the base (infinitive) form of another verb having semantic content. In English, the modal verbs commonly used are ''can'', ''could'', ''may'', ''might'', ''shall'', ''should'', ''will'', ''would'', ''ought to'', ''used to'', ''dare'' and ''must.'' Function A modal auxiliary verb gives information about the function of the main verb that it governs. Modals have a wide variety of communicative functions, but these functions can generally be related to a scale ranging from possibility ("may") to necessity ("must"), in terms of one of the following types of modality: *epistemic modality, concerned with the theoretical ''possibility of propositions being true or not true'' (including likelihood and certainty) *deontic modality, concerned with ''p ...
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