AI & ChatGPT searches , social queries for BIPOLAR THEOREM
Search references for BIPOLAR THEOREM. Phrases containing BIPOLAR THEOREM
See searches and references containing BIPOLAR THEOREM!
Search references for BIPOLAR THEOREM. Phrases containing BIPOLAR THEOREM
See searches and references containing BIPOLAR THEOREM!BIPOLAR THEOREM
Theorem in convex analysis
In mathematics, the bipolar theorem is a theorem in functional analysis that characterizes the bipolar (that is, the polar of the polar) of a set. In convex
Bipolar_theorem
Topics referred to by the same term
a star Bipolar coordinates, a two-dimensional orthogonal coordinate system Bipolar set, a derivative of a polar set Bipolar theorem, a theorem in convex
Bipolar
Mathematical theorem in convex analysis
{\displaystyle f^{**}\leq f} . This can be seen as a generalization of the bipolar theorem. It is used in duality theory to prove strong duality (via the perturbation
Fenchel–Moreau_theorem
Banach–Alaoglu theorem, setting τ {\displaystyle \tau } to the Weak-* topology. That 1. implies 2. is an application of the Bipolar theorem. Let M {\displaystyle
Dixmier–Ng_theorem
Dual pair of vector spaces
-closure of the convex balanced hull of A . {\displaystyle A.} The bipolar theorem: The bipolar of A , {\displaystyle A,} denoted by A ∘ ∘ , {\displaystyle A^{\circ
Dual_system
Theorem in functional analysis
and related branches of mathematics, the Banach–Alaoglu theorem (also known as Alaoglu's theorem) states that the closed unit ball of the dual space of
Banach–Alaoglu_theorem
Subset of all points that is bounded by some given point of a dual (in a dual pairing)
_{c\in C}\langle c,y\rangle .} Banach–Alaoglu theorem – Theorem in functional analysis Bipolar theorem – Theorem in convex analysis Polar cone – Concepts in
Polar_set
Concepts in convex analysis
cone C in X, the polar cone is equivalent to the polar set for C. Bipolar theorem Polar set Schaefer & Wolff 1999, pp. 215–222. Boyd, Stephen P.; Vandenberghe
Dual_cone_and_polar_cone
Mathematics of convex functions and sets
1{\text{ for all }}x\in C\}.} Under suitable closedness hypotheses, the bipolar theorem says that C {\displaystyle C} can be recovered from its polar by taking
Convex_analysis
Mathematical set closed under positive linear combinations
Cone (disambiguation) Cone (geometry) Cone (topology) Farkas' lemma Bipolar theorem Ordered vector space Boyd, Stephen; Vandenberghe, Lieven (2004-03-08)
Convex_cone
Space with topology generated by convex sets
that are compact (and thus complete) but not closed. The bipolar theorem states that the bipolar (that is, the polar of the polar) of a subset of a locally
Locally convex topological vector space
Locally_convex_topological_vector_space
only if S is an orthonormal basis; i.e., maximal orthonormal set. bipolar bipolar theorem. bounded A bounded operator is a linear operator between Banach
Glossary of functional analysis
Glossary_of_functional_analysis
∘ = H ∘ ∘ = H {\displaystyle U^{\circ }=H^{\circ \circ }=H} by the bipolar theorem, it follows that a continuous linear functional f {\displaystyle f}
Auxiliary_normed_space
Element of graph theory
orientations of complete graphs are called transitive tournaments. The bipolar orientations are a special case of the acyclic orientations in which there
Acyclic_orientation
Assigning directions to the edges of an undirected graph
acyclic orientation with a single source and a single sink is called a bipolar orientation. A transitive orientation is an orientation such that the resulting
Orientation_(graph_theory)
applied to the design of one-way road networks. According to Robbins' theorem, the graphs with strong orientations are exactly the bridgeless graphs
Strong_orientation
Mathematician (1845–1918)
more numerous than the natural numbers. Cantor's method of proof of this theorem implies the existence of an infinity of infinities. He defined the cardinal
Georg_Cantor
Process necessary for BJT amplifiers to work correctly
the setting of the DC operating point of an electronic component. For bipolar junction transistors (BJTs), the operating point is defined as the steady-state
Bipolar_transistor_biasing
Topics referred to by the same term
Burma Pharmaceutical Industry, a pharmaceutical brand name in Myanmar Bipolar I disorder Brachial plexus injury, an injury to the nerves that conduct
BPI
Missing Russian-American mathematician
Khazanov was reported missing in June 2001. He suffered from depression or bipolar disorder at the time of his disappearance. Born to Anna and Leonid Khazanov
Aleksandr_Khazanov
Circles in two perpendicular families
family orthogonally, and vice versa. These circles form the basis for bipolar coordinates. They were discovered by Apollonius of Perga, a renowned ancient
Apollonian_circles
Integral expressing the amount of overlap of one function as it is shifted over another
Atlas, Homma, and Marks. "An Artificial Neural Network for Spatio-Temporal Bipolar Patterns: Application to Phoneme Classification" (PDF). Neural Information
Convolution
Several sets of circles associated with Apollonius of Perga
possible circles that pass through both foci. These circles form the basis of bipolar coordinates. The circles of Apollonius of a triangle are three circles
Circles_of_Apollonius
British social scientist (1930–1973)
Gibbard–Satterthwaite theorem together with the philosopher and logician Michael Dummett. Farquharson diagnosed himself as suffering from bipolar disorder (manic
Robin_Farquharson
Two-BJT transistor digital logic
or I2L) is a class of digital circuits built with multiple collector bipolar junction transistors (BJT). When introduced it had speed comparable to
Integrated_injection_logic
communication, the field of information theory (in particular, the Shannon–Hartley theorem) motivates the need for studying the signal-to-noise ratio (SNR). In a
Stochastic geometry models of wireless networks
Stochastic_geometry_models_of_wireless_networks
2005 studio album by Strapping Young Lad
No. 35 on the Top Independent Albums chart. Townsend was diagnosed with bipolar disorder around 1998, a condition that was unknowingly exacerbated by his
Alien (Strapping Young Lad album)
Alien_(Strapping_Young_Lad_album)
Measure of directional electromagnetic energy flux
vector is used throughout electromagnetics in conjunction with Poynting's theorem, the continuity equation expressing conservation of electromagnetic energy
Poynting_vector
Representation of a signal as a rectangular wave with varying duty cycle
load. Modern semiconductor switches such as MOSFETs or insulated-gate bipolar transistors (IGBTs) are well-suited components for high-efficiency controllers
Pulse-width_modulation
Roberts, or Sedra, and especially Tuinenga. Figure 1 (top right) shows a bipolar amplifier with feedback bias resistor Rf driven by a Norton signal source
Return_ratio
Austrian mathematician and theoretical physicist (1844–1906)
His symptoms indicate he experienced what might today be diagnosed as bipolar disorder. Four months later he died by suicide on 5 September 1906, by
Ludwig_Boltzmann
All points whose relative distances to two circles are same
non-concentric circles can be aligned with the circles of a system of bipolar coordinates. In that case, the radical axis is simply the y {\displaystyle
Radical_axis
Voltage or current source dependent on another in the network
sources are useful, for example, in modeling the behavior of amplifiers. A bipolar junction transistor can be modeled as a dependent current source whose
Dependent_source
Concept in geometryPages displaying short descriptions of redirect targets Bipolar coordinates – 2-dimensional orthogonal coordinate system based on Apollonian
List_of_circle_topics
Audio amplifier with power output sufficient to drive a loudspeaker
audio amplifiers are based on solid-state transistors, especially the bipolar junction transistor (BJT) and the metal–oxide–semiconductor field-effect
Audio_power_amplifier
Plane algebraic curve
⋅ | z + c | = c 2 {\displaystyle |z-c|\cdot |z+c|=c^{2}} In two-center bipolar coordinates: r r ′ = c 2 {\displaystyle rr'=c^{2}} The determination of
Lemniscate_of_Bernoulli
Effect in electronics
vacuum tube triodes. The same analysis applies to modern devices such as bipolar junction and field-effect transistors. Consider a circuit of an ideal inverting
Miller_effect
American solar physicist (1927–2022)
magnetic reconnection, Parker limit on magnetic monopoles, and Parker theorem. In 1988, he proposed that nanoflares could explain the coronal heating
Eugene_Parker
Device performing a Boolean function
due to slower PMOS transistors. The simplest family of logic gates uses bipolar transistors, and is called resistor–transistor logic (RTL). Unlike simple
Logic_gate
Psychometric measurement scale
scale adds "slightly agree" and "slightly disagree". Likert scaling is a bipolar scaling method, measuring either positive or negative response to a statement
Likert_scale
Converts light into current
transistor. A common type of phototransistor, the bipolar phototransistor, is in essence a bipolar transistor encased in a transparent case so that light
Photodiode
Overview of and topical guide to electrical engineering
diode Schottky diode Avalanche diode Laser diode DIAC Thyristor Transistor Bipolar transistor (BJT) Field effect transistor (FET) Darlington transistor IGBT
Outline of electrical engineering
Outline_of_electrical_engineering
Electric current that periodically reverses direction
high voltage, with savings in the cost of conductors and energy losses. A bipolar open-core power transformer developed by Lucien Gaulard and John Dixon
Alternating_current
Type of voltage amplifier
(also known as grounded-base) amplifier is one of three basic single-stage bipolar junction transistor (BJT) amplifier topologies, typically used as a current
Common_base
Pairs of sequences
integer sequences with complementary sets of members see Lambek–Moser theorem. In applied mathematics, complementary sequences (CS) are pairs of sequences
Complementary_sequences
Startup technique in electronics
usually over two stages. This was often necessary in the early days of bipolar transistors, which inherently have quite a low input impedance. Because
Bootstrapping_(electronics)
Digital representation of sampled analog signals
to make the DC bias always tend back to zero. Many of these codes are bipolar codes, where the pulses can be positive, negative or absent. In the typical
Pulse-code_modulation
Information sent faster than light
orthodox quantum field theory. A special case of this is the no-communication theorem, which prevents communication using the quantum entanglement of a composite
Faster-than-light communication
Faster-than-light_communication
Physicist, engineer, inventor and entrepreneur
technology, SGT was rapidly adopted worldwide, and within a decade, it rendered bipolar transistors-based integrated circuits obsolete. At Fairchild, Faggin designed
Federico_Faggin
French mathematician
jointly supervised by Rosenstiehl and Hubert de Fraysseix, concerned bipolar orientations of graphs. He has worked at CNRS since 1995, and earned a
Patrice_Ossona_de_Mendez
Compact astronomical body
that prevents the black hole from accreting. However, the formation of bipolar jets prevents super-Eddington rates. While there is a strong case for supermassive
Black_hole
Study of the properties of codes and their fitness
and redundancy of a source, and its relevance through the source coding theorem; the mutual information, and the channel capacity of a noisy channel, including
Coding_theory
Totality of psychological phenomena
circumstances and can last for long periods. For instance, people affected by bipolar disorder experience extreme mood swings between manic states of euphoria
Mind
Geometry problem about finding touching circles
of the solution circles and the given circles, now known as Descartes's theorem. Solving Apollonius's problem iteratively in this case leads to the Apollonian
Problem_of_Apollonius
English polymath (1642–1727)
generalised the binomial theorem to any real number, introduced the Puiseux series, was the first to state Bézout's theorem, classified most of the cubic
Isaac_Newton
Type of feedforward neural network
Robert Marks II (1987). "An Artificial Neural Network for Spatio-Temporal Bipolar Patterns: Application to Phoneme Classification" (PDF). Advances in Neural
Convolutional_neural_network
Class of artificial neural network
from passing information through a matrix and its transpose. Typically, bipolar encoding is preferred to binary encoding of the associative pairs. Recently
Recurrent_neural_network
List of definitions of terms and concepts used in electrical engineering and electronics
IGBT Insulated Gate Bipolar Transistor, a power semiconductor device that combines some of the advantages of field-effect and bipolar transistors. image
Glossary of electrical and electronics engineering
Glossary_of_electrical_and_electronics_engineering
Electronic amplifier circuit type
remaining is the source. This is a common-source FET circuit. The analogous bipolar junction transistor circuit may be viewed as a transconductance amplifier
Common_source
Opposition of a circuit to a current when a voltage is applied
_{V})},\\I&=|I|e^{j(\omega t+\phi _{I})}.\end{aligned}}} The impedance of a bipolar circuit is defined as the ratio of these quantities: Z = V I = | V | |
Electrical_impedance
No-broadcast theorem No-cloning theorem No-communication theorem No-go theorem No-hair theorem No-slip condition No-teleportation theorem Noah Ernest Dorsey
Index_of_physics_articles_(N)
Gravitational process studied in astronomy
gravitational force. Mathematically this is expressed using the virial theorem, which states that, to maintain equilibrium, the gravitational potential
Star_formation
Climatic cooling after the Medieval Warm Period (16th–19th centuries)
1023/a:1010736008362. ISSN 0165-0009. S2CID 130327434. Kreutz, K. J. (1997). "Bipolar Changes in Atmospheric Circulation During the Little Ice Age". Science
Little_Ice_Age
Coordinates comprising a distance and an angle
originating the polar coordinate system in its analytic form and for originating bipolar coordinates in a strict sense. In the journal Acta Eruditorum (1691), Swiss
Polar_coordinate_system
Electronic circuits that utilize digital signals
transistor at Bell Labs in 1947, followed by William Shockley inventing the bipolar junction transistor at Bell Labs in 1948. At the University of Manchester
Digital_electronics
Specialty of electronic engineering
(MOSFET)s: Power MOSFET, Laterally-diffused metal-oxide semiconductor (LDMOS) Bipolar junction transistors Baseband processors (Complementary metal–oxide–semiconductor
Radio-frequency_engineering
Vector used in astronomy
of the LRL vector can be made quantitative by way of Noether's theorem. This theorem, which is used for finding constants of motion, states that any
Laplace–Runge–Lenz_vector
Approach to controller design that explicitly deals with uncertainty
Amplifier Design, are the so-called Bode gain-phase relationship and a theorem that the integral of the log sensitivity remains positive. These are fundamental
Robust_control
Graph representing faces of another graph
two regions, the inside and outside of the cycle, by the Jordan curve theorem. However, in an n-cycle, these two regions are separated from each other
Dual_graph
Phenomena related to electric charge
Bardeen and Walter Houser Brattain at Bell Labs in 1947, followed by the bipolar junction transistor in 1948. By modern convention, the charge carried by
Electricity
Hexagonal lattice made of carbon atoms
momentum, and field-effect transistors with graphene can be made that show bipolar conduction. Charge transport is ballistic over long distances; the material
Graphene
strip Biofuel Biomass Biomedical engineering Biot–Savart law Bipolar junction transistor Bipolar transistor Black start Blocked rotor test Blu-ray Disc Bode
Index of electrical engineering articles
Index_of_electrical_engineering_articles
American mathematician and logician (1897 – 1954)
Post said in a postcard to Gödel in 1938: I would have discovered Gödel's theorem in 1921—if I had been Gödel. In 1936, Post developed, independently of
Emil_Leon_Post
Star at the centre of the Solar System
centre, releasing gravitational potential energy. According to the virial theorem, half of this released gravitational energy goes into heating, which leads
Sun
Charge transfer due to contact or sliding
1088/0959-5309/39/1/344. ISSN 0959-5309. Burgo, Thiago A. L.; Erdemir, Ali (2014). "Bipolar Tribocharging Signal During Friction Force Fluctuations at Metal–Insulator
Triboelectric_effect
Conceptual opposite of an electron
in 1929 by Rudolf Peierls, who analyzed the Hall effect using Bloch's theorem, and demonstrated that a nearly full and a nearly empty Brillouin zones
Electron_hole
Method of analysis of a patient's history and physical examination
into either diagnosis. For example, a patient who has been diagnosed with bipolar disorder may also be given a differential diagnosis of attention deficit
Differential_diagnosis
classification – Binary multiplier – Binaural recording – Bipolar junction transistor – Bipolar signal – Bit inversion – Bit pairing – Bit robbing – Bit
Index_of_electronics_articles
Extensional term for information technology
particular social contexts. Access exists in gradations rather than in a bipolar opposition. Computer and Internet use brings no automatic benefit outside
Information and communications technology
Information_and_communications_technology
Type of electronic amplifier
Fundamentally, all electronic devices that provide power gain (e.g., vacuum tubes, bipolar transistors, MOS transistors) are nonlinear. Negative feedback trades gain
Negative-feedback_amplifier
Electrical transmission without physical connection
1884 John Henry Poynting defined the Poynting vector and gave Poynting's theorem, which describe the flow of power across an area within electromagnetic
Wireless_power_transfer
Phase of clinical research in medicine
ISSN 1469-5111. PMID 23672957. Tohen M (1 February 2017). "Treatment Guidelines in Bipolar Disorders and the Importance of Proper Clinical Trial Design". The International
Clinical_trial
Scientific methodology
'Big Data' approaches for the characterization and prevention of bipolar disorder". Bipolar Disorders. 16 (5): 531–547. doi:10.1111/bdi.12162. PMID 24330342
Discovery_science
Electric circuit with two pairs of terminals
reciprocal lossless networks all the zmn are purely imaginary. Figure 3 shows a bipolar current mirror with emitter resistors to increase its output resistance
Two-port_network
Galaxy in the constellation Ursa Major
least obscured starburst clusters from our vantage point. M82's unique bipolar outflow (or 'superwind') appears to be concentrated on clumps A and C,
Messier_82
Region of England
Thomas Bayes was an important statistician from Tunbridge Wells; his theorem (of probability theory) is used for spam filters and Google's search. Sir
South_East_England
Physical implementation of an artificial neural network with optical components
by Cahng et al., employs a 4F system that is based on the convolution theorem to perform convolution operations. This system uses two lenses to execute
Optical_neural_network
are therefore slight evidence against rather than for HIV, per Bayes' theorem. A strong immune defense reduces the number of viral particles in the bloodstream
Signs and symptoms of HIV/AIDS
Signs_and_symptoms_of_HIV/AIDS
Symbols for constants, special functions
called "betas" as well) the ratio of collector current to base current in a bipolar junction transistor (BJT) in electronics (current gain) the false negative
Greek letters used in mathematics, science, and engineering
Greek_letters_used_in_mathematics,_science,_and_engineering
American engineer and intelligent design advocate (born 1950)
time-frequency distribution in the field of signal processing, the Cheung–Marks theorem in Shannon sampling theory and the Papoulis-Marks-Cheung (PMC) approach
Robert_J._Marks_II
Continuous band of stars that appears on plots of stellar color versus brightness
mass and radius can be deduced. This became known as the Vogt–Russell theorem; named after Heinrich Vogt and Henry Norris Russell. It was subsequently
Main_sequence
Object with trapped electrical charge
dielectric's volume (a space charge) Space charge electrets with internal bipolar charges known as ferroelectrets. Oriented-dipole electrets contain oriented
Electret
Electronic circuit element implementing a filter
continuous-time circuits. Aliasing Charge pump Nyquist–Shannon sampling theorem Switched-mode power supply Thyristor-switched capacitor (TSC) Switched
Switched_capacitor
Passive electronic component providing electrical resistance
resistance of the resistor, and is predicted by the fluctuation–dissipation theorem. Using a larger value of resistance produces a larger voltage noise, whereas
Resistor
Device measuring ionizing radiation
can be measured in an outer circuit, as described by the Shockley-Ramo theorem. The holes travel in the opposite direction and can also be measured. As
Semiconductor_detector
Black hole formed by a collapsed star
explosions, but other formation mechanisms may operate. By the no-hair theorem, a black hole can only have three fundamental properties: mass, electric
Stellar_black_hole
– psychiatrist and neuroscientist focusing in schizophrenia, psychotic bipolar disorder, and schizoaffective disorder, National Academy of Medicine fellow
List of Vanderbilt University people
List_of_Vanderbilt_University_people
principle of balance (see Archimedes Palimpsest § The Method of Mechanical Theorems) to calculate mathematical problems, such as the number of grains of sand
History_of_computing
Astronomical phenomenon
the gas in this region to become less dense, and cooler. Von Zeipel's theorem states that the radiation from a star is proportional to the local effective
Gravity_darkening
BIND—Berkeley Internet Name Domain BIOS—Basic Input Output System BJT—Bipolar Junction Transistor bit—binary digit BLISS—Bimodal Lattice Signature Scheme
List of computing and IT abbreviations
List_of_computing_and_IT_abbreviations
BIPOLAR THEOREM
BIPOLAR THEOREM
BIPOLAR THEOREM
BIPOLAR THEOREM
BIPOLAR THEOREM
BIPOLAR THEOREM
BIPOLAR THEOREM
BIPOLAR THEOREM
BIPOLAR THEOREM