- Oprah Winfrey Network (American company)
Tyler Perry: …picked up by Oprah Winfrey’s OWN channel in its third season following its cancellation by TBS. Perry created several additional television shows for OWN: the soap operas The Haves and the Have Nots (2013–21) and If Loving You Is Wrong (2014–16) as well as such comedies as Love Thy Neighbor…
- Oprah Winfrey Show, The (American television program)
Mehmet Oz: …to a television appearance on The Oprah Winfrey Show. Oz subsequently became a regular guest on that program as well as many others, earning him the nickname “America’s Doctor.” His rapport with audiences was in part due to his easygoing manner and holistic approach to health. With Roizen he continued…
- Oprichnik, The (opera by Tchaikovsky)
Pyotr Ilyich Tchaikovsky: Middle years: …1872 he finished another opera, The Oprichnik. While spending the summer at his sister’s estate in Ukraine, he began to work on his Symphony No. 2 in C Minor, later dubbed The Little Russian, which he completed later that year. The Oprichnik was first performed at the Maryinsky Theatre in…
- oprichnina (Russian history)
oprichnina, private court or household created by Tsar Ivan IV the Terrible (1565) that administered those Russian lands (also known as oprichnina) that had been separated from the rest of Muscovy and placed under the tsar’s direct control. The term also refers generally to the economic and
- Ops (Roman goddess)
Ops, Roman goddess (originally perhaps of the Earth’s fertility) with an ancient shrine in the Regia, the office of the pontifex maximus, which only he and the Vestal Virgins might enter. She was early equated with Rhea, wife of Saturn, and like her was later identified with Cybele. She also had
- Opsanus tau (fish)
paracanthopterygian: Life cycle and reproduction: Eggs of the oyster toadfish (Opsanus tau) of the western Atlantic—one of the most carefully studied batrachoidiforms—are laid in dark recesses of all sorts, including sunken tin cans and shoes. The male guards the eggs and young for about three weeks, after which the young begin life on…
- opsin (biochemistry)
coloration: Visual functions: …that consists of a protein, opsin, attached to a chromophore. The chromophore may be either retinal (vitamin A1), in which case the molecule is called rhodopsin; or 3-dehydroretinal (vitamin A2), in which case the molecule is called porphyropsin. When light enters the eye and strikes the visual biochrome, the molecule…
- opsonin (biochemistry)
immune system: Activation of the complement system: …pathogen in a process called opsonization. This makes the microorganism more attractive to phagocytic cells such as macrophages and neutrophils. The attraction occurs because receptors on the surface of phagocytes recognize and bind to the C3b molecule on the surface of the pathogen, stimulating phagocytosis. The microbe is then killed…
- opsonization (biochemistry)
immune system: Activation of the complement system: …pathogen in a process called opsonization. This makes the microorganism more attractive to phagocytic cells such as macrophages and neutrophils. The attraction occurs because receptors on the surface of phagocytes recognize and bind to the C3b molecule on the surface of the pathogen, stimulating phagocytosis. The microbe is then killed…
- opstandigen, De (work by Ammers-Küller)
Jo van Ammers-Küller: …successful novel, De opstandigen (1925; The Rebel Generation), presents the struggle of three generations of women in the Coornvelt family for equality with men and against the strictures of their Calvinist environment.
- Optatus of Milevis (Christian author)
patristic literature: The post-Nicene Latin Fathers: …the measured anti-Donatist polemic of Optatus of Milevis, writing in 366 or 367, whose line of argument anticipates Augustine’s later attack against the Donatists.
- Optelecom (American company)
Gordon Gould: …founded an optical communications company, Optelecom, in 1973. He retired from Optelecom in 1985, and he was inducted into the (U.S.) National Inventors Hall of Fame in 1991.
- Opteron (computer chip)
Advanced Micro Devices, Inc.: …2003 the company released the Opteron chip, another product that showcased the company’s ability to produce high-end chips. In 2006 AMD absorbed ATI Technologies, a manufacturer of video graphics cards for use in PCs. In 2008 AMD announced plans to split the company in two—with one part designing microprocessors and…
- optic ataxia (pathology)
optic ataxia, condition in which some or all aspects of visual guidance over reaching with the hand and arm are lost. Optic ataxia is broadly characterized by an inaccuracy of visually guided arm movements. In reaching for an object, a person with severe optic ataxia may seem to grope in the dark,
- optic atrophy (pathology)
optic atrophy, degeneration of the optic nerve (the second cranial nerve) due to direct or indirect damage to a particular type of retinal cell, called ganglion cells, whose axonal projections collectively make up the optic nerve. The function of the optic nerve is to carry visual data from the
- optic axis (crystals)
double refraction: …along the direction of its optic axis, however, the light ray will not become divided.
- optic chiasm (anatomy)
human eye: The visual pathway: The optic nerves after this point are called the optic tracts, containing nerve fibres from both retinas. The result of the partial decussation is that an object in, say, the right-hand visual field produces effects in the two eyes that are transmitted to the left-hand side…
- optic chiasma (anatomy)
human eye: The visual pathway: The optic nerves after this point are called the optic tracts, containing nerve fibres from both retinas. The result of the partial decussation is that an object in, say, the right-hand visual field produces effects in the two eyes that are transmitted to the left-hand side…
- optic cup (embryology)
animal development: The eye: …the vesicle becomes a double-walled optic cup. The thick inner layer of the optic cup gives rise to the sensory retina of the eye; the thinner outer layer becomes the pigment coat of the retina. The opening of the optic cup, wide at first, gradually becomes constricted to form the…
- optic disk (anatomy)
blind spot, small portion of the visual field of each eye that corresponds to the position of the optic disk (also known as the optic nerve head) within the retina. There are no photoreceptors (i.e., rods or cones) in the optic disk, and, therefore, there is no image detection in this area. The
- optic foramen (anatomy)
human eye: The orbit: The optic foramen, the opening through which the optic nerve runs back into the brain and the large ophthalmic artery enters the orbit, is at the nasal side of the apex; the superior orbital fissure is a larger hole through which pass large veins and nerves.…
- optic gland (anatomy)
endocrine system: Phylum Mollusca: …information detected by the so-called optic gland (located near the eye) can direct the release of the gonadotropic hormone. The gonadotropic hormones that cause egg laying in Aplysia and Lymnaea have been isolated, and they are very similar small peptides. The hermaphroditic gonad of Euhadra secretes testosterone (identical to the…
- optic glioma (disease)
glioma: …different types of gliomas include optic glioma, which affects the optic nerve in the brain; oligodendroglial tumours, which originate with oligodendrocytes, a type of neuroglia that produces myelin (the insulating sheath on the axons of nerves); and ependymomas, which originate with ependymal cells, a
- optic lobe (anatomy)
nervous system: Encephalization: The optic lobes, especially prominent in fish and birds, are a part of this area. In fish and amphibians the tectum is the major centre of the nervous system and wields the greatest influence on body activity. While this area is still significant in reptiles and…
- optic nerve (anatomy)
optic nerve, second cranial nerve, which carries sensory nerve impulses from the more than one million ganglion cells of the retina toward the visual centres in the brain. The vast majority of optic nerve fibres convey information regarding central vision. The optic nerve begins at the optic disk,
- optic nerve glioma (disease)
glioma: …different types of gliomas include optic glioma, which affects the optic nerve in the brain; oligodendroglial tumours, which originate with oligodendrocytes, a type of neuroglia that produces myelin (the insulating sheath on the axons of nerves); and ependymomas, which originate with ependymal cells, a
- optic neuritis (pathology)
optic neuritis, inflammation of the optic nerve (the second cranial nerve). The inflammation causes a fairly rapid loss of vision in the affected eye, a new blind spot (a scotoma, usually in or near the centre of the visual field), pain in the eyeball (often occurring with eye movement), abnormal
- optic tract (anatomy)
human nervous system: Optic nerve (CN II or 2): In this way the optic tracts, which extend from the chiasm to the thalamus, contain fibers conveying information from both eyes. Injury to one optic nerve therefore results in total blindness of that eye, while damage to the optic tract on one side results in partial blindness in both…
- optic vesicle (anatomy)
animal development: The eye: …of the eyes develop from optic vesicles, each of which remains connected to the brain by an eye stalk, which later serves as the pathway for the optic nerve. The optic vesicles extend laterally until they reach the skin, whereupon the outer surface caves in so that the vesicle becomes…
- Optic, Oliver (American author)
William Taylor Adams was an American teacher and author of juvenile literature, best known for his children’s magazine and the series of adventure books that he wrote under his pseudonym. Although he never graduated from college, Adams was a teacher and principal in Boston elementary schools for
- Optica (work by Ptolemy)
Ptolemy: Mathematician: …study of visual perception in Optica (“Optics”), a work that only survives in a mutilated medieval Latin translation of an Arabic translation. The extent to which Ptolemy subjected visual perception to empirical analysis is remarkable when contrasted with other Greek writers on optics. For example, Hero of Alexandria (mid-1st century…
- Optica Promota (work by Gregory)
James Gregory: …to London where he published Optica Promota (1663; “The Advance of Optics”). This work analyzed the refractive and reflective properties of lens and mirrors based on various conic sections and substantially developed Johannes Kepler’s theory of the telescope. In the epilogue, Gregory proposed a new telescope design with a secondary…
- optical activity (physics)
optical activity, the ability of a substance to rotate the plane of polarization of a beam of light that is passed through it. (In plane-polarized light, the vibrations of the electric field are confined to a single plane.) The intensity of optical activity is expressed in terms of a quantity,
- optical amplifier (communications)
laser: Laser elements: …laser would just be an optical amplifier, which can amplify light from an external source but not generate a beam internally. Elias Snitzer, a researcher at American Optical, demonstrated the first optical amplifier in 1961, but such devices were little used until the spread of communications based on fibre optics.
- optical antipode (chemistry)
enantiomer, either of a pair of objects related to each other as the right hand is to the left—that is, as mirror images that cannot be reoriented so as to appear identical. An object that has a plane of symmetry cannot be an enantiomer because the object and its mirror image are identical.
- optical art
Op art, branch of mid-20th-century geometric abstract art that deals with optical illusion. Achieved through the systematic and precise manipulation of shapes and colours, the effects of Op art can be based either on perspective illusion or on chromatic tension; in painting, the dominant medium of
- optical axis (optics)
optical axis, the straight line passing through the geometrical centre of a lens and joining the two centres of curvature of its surfaces. Sometimes the optical axis of a lens is called its principal axis. The path of a light ray along this axis is perpendicular to the surfaces and, as such, will
- optical bleach (chemical compound)
textile: Optical brightening: Optical brightening, or optical bleaches, are finishes giving the effect of great whiteness and brightness because of the way in which they reflect light. These compounds contain fluorescent colourless dyes, causing more blue light to be reflected. Changes in colour may occur as…
- optical brightener (chemical compound)
textile: Optical brightening: Optical brightening, or optical bleaches, are finishes giving the effect of great whiteness and brightness because of the way in which they reflect light. These compounds contain fluorescent colourless dyes, causing more blue light to be reflected. Changes in colour may occur as…
- optical ceramics
optical ceramics, advanced industrial materials developed for use in optical applications. Optical materials derive their utility from their response to infrared, optical, and ultraviolet light. The most obvious optical materials are glasses, which are described in the article industrial glass, but
- optical character reader
postal system: Optical character recognition: An optical character reader (OCR) can be designed to either directly sort mail or mark it with a machine-readable code so that sorting at subsequent stages can be carried out by high-speed automatic machines. In 1965 the U.S. Postal Service began experimenting with an alphanumeric OCR.…
- optical character recognition (technology)
OCR, scanning and comparison technique intended to identify printed text or numerical data. It avoids the need to retype already printed material for data entry. OCR software attempts to identify characters by comparing shapes to those stored in the software library. The software tries to identify
- optical communication (communications)
telecommunications media: Optical transmission: Optical communication employs a beam of modulated monochromatic light to carry information from transmitter to receiver. The light spectrum spans a tremendous range in the electromagnetic spectrum, extending from the region of 10 terahertz (104 gigahertz) to 1 million terahertz (109 gigahertz). This frequency range…
- optical crystallography
optical crystallography, branch of crystallography that deals with the optical properties of crystals. It is of considerable interest theoretically and has the greatest practical importance. The science of petrography is largely based on the study of the appearance of thin, transparent sections of
- optical depth (physics)
Saturn: The ring system: …is broadly described by their optical depth as a function of distance from Saturn. Optical depth is a measure of the amount of electromagnetic radiation that is absorbed in passing through a medium—e.g., a cloud, the atmosphere of a planet, or a region of particles in space. It thus serves…
- optical disc (computer technology)
information processing: Recording media: …recording and storage medium, the optical disc, became available during the early 1980s. The optical disc makes use of laser technology: digital data are recorded by burning a series of microscopic holes, or pits, with a laser beam into thin metallic film on the surface of a 434-inch (12-centimetre) plastic…
- optical double resonance (physics)
spectroscopy: Methods: In the method known as optical double resonance, optical radiation corresponding to a transition in the atom of interest is passed through the cell. If radio-frequency radiation is absorbed by the atoms in either of the levels involved, the intensity, polarization, or direction of the fluorescent light may be changed.…
- optical engineering
motion-picture technology: Principal parts: …for both still and motion-picture photography. The two major objectives have been to focus properly all the colours of the image at the film plane (i.e., to make the lens achromatic) and to focus portions of a beam coming from different portions of the lens, the centre or the edges,…
- optical fiber (technology)
materials science: Optical switching: …problem would be to introduce optics inside digital switching machines. Known as free-space photonics, this approach would involve such devices as semiconductor lasers or light-emitting diodes (LEDs), optical modulators, and photodetectors—all of which would be integrated into systems combined with electronic components.
- optical fiber channel (communications)
telecommunications media: Optical fibre channels: In contrast to wire transmission, in which an electric current flows through a copper conductor, in optical fibre transmission an electromagnetic (optical) field propagates through a fibre made of a nonconducting dielectric. Because of its high bandwidth, low attenuation, interference immunity, low…
- optical fiber communications link (communications)
telecommunications media: Optical fibre channels: An optical fibre communications link consists of the following elements: an electro-optical transmitter, which converts analog or digital information into a modulated beam of light; a light-carrying fibre, which spans the transmission path; and an optoelectronic receiver, which converts detected light into an electric current. For…
- optical fibre transmission (communications)
telecommunications media: Optical transmission: Optical communication employs a beam of modulated monochromatic light to carry information from transmitter to receiver. The light spectrum spans a tremendous range in the electromagnetic spectrum, extending from the region of 10 terahertz (104 gigahertz) to 1 million terahertz (109 gigahertz). This frequency range…
- optical frequency chain (physics)
John L. Hall: Although a procedure (the optical frequency chain) had already been developed to make such measurements, it was so complex that it could be performed in only a few laboratories. The two men focused on developing Hänsch’s idea for the optical frequency comb technique. In the technique, ultrashort pulses of…
- optical frequency comb technique (physics)
John L. Hall: …developing Hänsch’s idea for the optical frequency comb technique. In the technique, ultrashort pulses of laser light create a set of precisely spaced frequency peaks that resemble the evenly spaced teeth of a hair comb, thereby providing a practical way of obtaining optical frequency measurements to an accuracy of 15…
- optical gyroscope
gyroscope: Optical gyroscopes: Optical gyroscopes, with virtually no moving parts, are used in commercial jetliners, booster rockets, and orbiting satellites. Such devices are based on the Sagnac effect, first demonstrated by French scientist Georges Sagnac in 1913. In Sagnac’s demonstration, a beam of light was split…
- optical illusion
illusion: Optical phenomena: Numerous optical illusions are produced by the refraction (bending) of light as it passes through one substance to another in which the speed of light is significantly different. A ray of light passing from one transparent medium (air) to another (water) is bent as it emerges.…
- optical image (optics)
optical image, the apparent reproduction of an object, formed by a lens or mirror system from reflected, refracted, or diffracted light waves. There are two kinds of images, real and virtual. In a real image the light rays actually are brought to a focus at the image position, and the real image
- optical interferometer (instrument)
optical interferometer, instrument for making precise measurements for beams of light of such factors as length, surface irregularities, and index of refraction. It divides a beam of light into a number of beams that travel unequal paths and whose intensities, when reunited, add or subtract
- optical invariant (optics)
optics: Magnification: the optical invariant: It is frequently as important to determine the size of an image as it is to determine its location. To obtain an expression for the magnification—that is, the ratio of the size of an image to the size of the object—the following process…
- optical isomerism (chemistry)
chemistry: Isomerism: …type of isomerism is called optical isomerism, because the two isomers affect plane-polarized light differently. Two optical isomers are possible for every carbon atom that is bonded to four different groups. For a molecule bearing 10 such carbon atoms, the total number of possible isomers will be 210 = 1,024.…
- optical lever system (vision)
perception: Synthesis of constituent elements: An optical lever system can be so adjusted that when the eye moves the image source moves with it, and potential motion in the retinal image is eliminated. As expected, visual acuity is slightly enhanced when the retinal image is kept motionless. A remarkable, unexpected finding,…
- optical lithography
integrated circuit: Photolithography: In order to alter specific locations on a wafer, a photoresist layer is first applied (as described in the section Deposition). Photoresist, or just resist, typically dissolves in a high-pH solution after exposure to light (including ultraviolet radiation or X-rays
- optical microscope (microscopy)
microscope: History of optical microscopes: The concept of magnification has long been known. About 1267 English philosopher Roger Bacon wrote in Perspectiva, “[We] may number the smallest particles of dust and sand by reason of the greatness of the angle under which we may see them,” and in…
- optical model (nuclear physics)
optical model, in physics, description of atomic nuclei as similar to cloudy crystal balls in that, when struck by a beam of particles, they partially absorb the beam, partially scatter it, and partially transmit it in a way analogous to the behaviour of light. The nuclear optical model has proved
- optical molasses (physics)
Steven Chu: …an effect they called “optical molasses,” in which the speed of target atoms was reduced from about 4,000 km per hour to about 1 km per hour, as if the atoms were moving through thick molasses. The temperature of the slowed atoms approached absolute zero (−273.15 °C, or −459.67…
- optical observatory
astronomical observatory: …largest number of observatories are optical; i.e., they are equipped to observe in and near the region of the spectrum visible to the human eye. Some other observatories are instrumented to detect cosmic emitters of radio waves, while still others called satellite observatories are Earth satellites that carry special telescopes…
- optical path difference (optics)
optics: Seidel sums: …is generally called OPD, meaning optical path difference. It can be shown that OPD is related to x0 and y0 by five constants S1 through S5, and the quantity h′o,Each of these five terms is considered to be a separate “aberration,” the coefficients S1
- optical printer (cinematic device)
motion-picture technology: Special effects: …special effects department is the optical printer, essentially a camera and projector operating in tandem, which makes it possible to photograph a photograph. In simplest form this apparatus is little more than a contact printer with motorized controls to execute simple transitions such as fades, dissolves, and wipes. A 24-frame…
- optical printing (photography)
motion-picture technology: Film processing and printing: In optical printing, the master film is projected through a lens to expose the raw stock. In continuous printing, the master film and the raw stock both run continuously. Continuous printing is usually contact printing but can be optical, through a projected slit. In intermittent, or…
- optical pumping (physics)
optical pumping, in physics, the use of light energy to raise the atoms of a system from one energy level to another. A system may consist of atoms having a random orientation of their individual magnetic fields. When optically pumped, the atoms will undergo a realignment of individual magnetic
- optical pyrometer (instrument)
pyrometer: Optical pyrometers, for example, measure the temperature of incandescent bodies by comparing them visually with a calibrated incandescent filament that can be adjusted in temperature. In an elementary radiation pyrometer, the radiation from the hot object is focused onto a thermopile, a collection of thermocouples,…
- optical radar (optics)
laser: Surveying: Pulsed laser radar can measure distance in the same manner as microwave radar by timing how long it takes a laser pulse to bounce back from a distant object. For instance, in 1969 laser radar precisely measured the distance from the Earth to the Moon, and…
- optical range finder (instrument)
range finder: One basic type is the optical range finder modeled after a ranging device developed by the Scottish firm of Barr and Stroud in the 1880s. The optical range finder is usually classified into two kinds, coincidence and stereoscopic.
- optical resonator
laser: Laser elements: An optical resonator is needed to build up the light energy in the beam. The resonator is formed by placing a pair of mirrors facing each other so that light emitted along the line between the mirrors is reflected back and forth. When a population inversion…
- optical rotation (physics)
optical activity, the ability of a substance to rotate the plane of polarization of a beam of light that is passed through it. (In plane-polarized light, the vibrations of the electric field are confined to a single plane.) The intensity of optical activity is expressed in terms of a quantity,
- optical separation
mineral processing: Optical separation: This process is used for the concentration of particles that have sufficiently different colours (the best contrast being black and white) to be detected by the naked eye. In addition, electro-optic detectors collect data on the responses of minerals when exposed to infrared,…
- optical sound recording
optical sound recording, use of an optical system for registering sound on photographic film; it is a technique widely used in making the sound track (q.v.) of motion
- optical spectroscopy (physics)
spectroscopy: Survey of optical spectroscopy: Electromagnetic radiation is composed of oscillating electric and magnetic fields that have the
- optical spectrum (physics)
light, electromagnetic radiation that can be detected by the human eye. Electromagnetic radiation occurs over an extremely wide range of wavelengths, from gamma rays with wavelengths less than about 1 × 10−11 metre to radio waves measured in metres. Within that broad spectrum the wavelengths
- optical storage (technology)
optical storage, electronic storage medium that uses low-power laser beams to record and retrieve digital (binary) data. In optical-storage technology, a laser beam encodes digital data onto an optical, or laser, disk in the form of tiny pits arranged in a spiral track on the disk’s surface. A
- optical system
optics: Optical systems: An optical system consists of a succession of elements, which may include lenses, mirrors, light sources, detectors, projection screens, reflecting prisms, dispersing devices, filters and thin films, and fibre-optics bundles.
- optical transmission (communications)
telecommunications media: Optical transmission: Optical communication employs a beam of modulated monochromatic light to carry information from transmitter to receiver. The light spectrum spans a tremendous range in the electromagnetic spectrum, extending from the region of 10 terahertz (104 gigahertz) to 1 million terahertz (109 gigahertz). This frequency range…
- optical tweezers (physics)
Bell Laboratories:
- optical waveguide (physics)
industrial glass: Properties: Optical waveguides (OWGs), which transmit information signals in the form of pulses of light, consist of a core glass fibre clad by glass of a lower refractive index. As is explained in Properties of glass: Optical properties: Refraction and reflection of light, when light passing…
- optical-mechanical scanner (instrument)
Earth exploration: Remote sensing: …energy is detected by an optical-mechanical scanner. The detector is cooled by a liquid-nitrogen (or liquid-helium) jacket that encloses it, making the instrument sensitive at long wavelengths and isolating it from heat radiation from the immediate surroundings. A rotating mirror directs radiation coming from various directions onto the sensor. An…
- optical-pumping magnetometer (instrument)
Earth exploration: Magnetic methods: …are made with proton-precession or optical-pumping magnetometers, which are appreciably more accurate. The proton magnetometer measures a radio-frequency voltage induced in a coil by the reorientation (precession) of magnetically polarized protons in a container of ordinary water. The optical-pumping magnetometer makes use of the principles of nuclear resonance and cesium…
- optically variable device
polymer banknote: Origin: … led a team that combined optically variable devices (OVDs) with a thin polymer base. OVDs are features that change with light or movement, such as holograms that appear as three-dimensional images and pictures that change color. The thin polymer base on which they chose to print the money is resistant…
- optician (eye care specialist)
optometry: The optician, another optical specialist, makes, fits, and sells optical devices, particularly the corrective lenses prescribed by optometrists and ophthalmologists.
- Opticks (work by Newton)
color wheel: …first in his 1704 book Opticks: or, A Treatise of the Reflexions, Refractions, Inflexions, and Colours of Light. During his famed prism experiments, Newton discovered that by refracting sunlight onto a wall, white light was made of seven visible colors: red, orange, yellow, green, blue, indigo, and violet. He then…
- Optics (work by Euclid)
Euclid: Other writings: …Euclid’s extant works are the Optics, the first Greek treatise on perspective, and the Phaenomena, an introduction to mathematical astronomy. Those works are part of a corpus known as “the Little Astronomy” that also includes the Moving Sphere by Autolycus of Pitane.
- optics
optics, science concerned with the genesis and propagation of light, the changes that it undergoes and produces, and other phenomena closely associated with it. There are two major branches of optics, physical and geometrical. Physical optics deals primarily with the nature and properties of light
- optics, X-ray (physics)
spectroscopy: X-ray optics: X-rays are strongly absorbed by solid matter so that the optics used in the visible and near-infrared portions of the electromagnetic spectrum cannot be used to focus or reflect the radiation. Over a fairly wide range of X-ray energies, however, radiation hitting a…
- optimal allocation (economics)
economics: Theory of allocation: …combination is called the “optimal” or “efficient” combination. As a rule, the optimal allocation equalizes the returns of the marginal (or last) unit to be transferred between all the possible uses. In the theory of the firm, an optimum allocation of outlays among the factors is the same for…
- optimal control problem (mathematics)
control theory: Principles of control: …state vector; (2) determining an optimal control law and mechanizing it by substituting into it the estimate of the state vector obtained in step 1.
- Optimal control theory (mathematics)
control theory, field of applied mathematics that is relevant to the control of certain physical processes and systems. Although control theory has deep connections with classical areas of mathematics, such as the calculus of variations and the theory of differential equations, it did not become a
- optimal filter (mathematics)
dead reckoning: …reckoning is also embedded in Kalman filtering techniques, which mathematically combine a sequence of navigation solutions to obtain the best estimate of the navigator’s current position, velocity, attitude angles, and so forth.
- optimal linear predictor (mathematics)
probability theory: Conditional expectation and least squares prediction: …â + b̂X denote the optimal linear predictor. The mean square error of prediction is E{(Y − Ŷ)2} = Var(Y) − [Cov(X, Y)]2/Var(X).
- optimal mean square predictor (mathematics)
probability theory: Conditional expectation and least squares prediction: …important case in which the optimal mean square predictor actually is the same as the optimal linear predictor. If X and Y are jointly normally distributed, the conditional expectation of Y given X is just a linear function of X, and hence the optimal predictor and the optimal linear predictor…
- optimal strategy (logic)
game theory: Games of perfect information: …can deduce strategies that are optimal, which makes the outcome preordained (strictly determined). In chess, for example, exactly one of three outcomes must occur if the players make optimal choices: (1) White wins (has a strategy that wins against any strategy of Black); (2) Black wins; or (3) White and…
- optimality model (biology)
animal behaviour: Adaptive design: …of the attractions of using optimality models to test hypotheses about functional design is that these models yield quantitative predictions that can be easily tested. If a model’s predictions regarding the form of a behaviour do not match reality, one knows immediately that the hypothesis expressed in the model is…