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Mathematical question in algebraic geometry
In mathematics, the Schottky problem, named after Friedrich Schottky, is a classical question of algebraic geometry, asking for a characterisation of Jacobian
Schottky_problem
Semiconductor diode
The Schottky diode (named after the German physicist Walter H. Schottky), also known as Schottky barrier diode or hot-carrier diode, is a semiconductor
Schottky_diode
German mathematician
and Schottky's theorem. Friedrich Hermann Schottky was born in Breslau, Germany (now Wrocław, Poland). His father, Dr. Hermann Friedrich Schottky, was
Friedrich_Schottky
Form of differential geometry
the most striking applications of systoles is in the context of the Schottky problem, by P. Buser and P. Sarnak, who distinguished the Jacobians of Riemann
Systolic_geometry
Japanese mathematician
University. In 1986, he proved Novikov's conjecture about the Riemann–Schottky problem by characterization of Jacobian varieties. Shiota obtained his doctorate
Takahiro_Shiota
Friedrich Schottky finds a non-trivial condition on the theta constants for curves of genus g = 4 {\displaystyle g=4} , launching the Schottky problem. 1891
Timeline_of_abelian_varieties
Device that prevents a transistor from saturating
A Schottky transistor is a combination of a transistor and a Schottky diode that prevents the transistor from saturating by diverting the excessive input
Schottky_transistor
American mathematician
his achievements in classical algebraic geometry are his work on the Schottky problem and generalizing the Torelli theorem. He is a fellow of the American
Ron_Donagi
used to construct an intersection theory of Deligne–Mumford stacks Schottky problem Siegel modular variety Moduli stack of elliptic curves Moduli of algebraic
Moduli_of_abelian_varieties
Russian physicist (1928–1998)
by Vladimir Zakharov and Alexei Shabat [de], which helped solve the Schottky problem. Kadomtsev graduated from Moscow State University in 1951. He then
Boris_Kadomtsev
Space of complex matrices with positive definite imaginary part
{\displaystyle g\geq 4} ; determining which points arise in this way is the Schottky problem. The assignment sending a smooth projective complex curve C {\displaystyle
Siegel_upper_half-space
Type of electrical junction
external circuitry. Occasionally, however, a Schottky barrier is useful, as in Schottky diodes, Schottky transistors, and metal–semiconductor field effect
Metal–semiconductor_junction
French mathematician (born 1947)
University in 1977, with a thesis regarding Prym varieties and the Schottky problem, under supervision of Jean-Louis Verdier. He has been a professor at
Arnaud_Beauville
Term in mathematics
complex curve is determined by its Jacobian (with its polarization). The Schottky problem asks which principally polarized abelian varieties are the Jacobians
Jacobian_variety
covering of a Riemann surface, and was used by F. Schottky and H. W. E. Jung in relation with the Schottky problem, as it is now called, of characterising Jacobian
Prym_variety
French mathematician (born 1959)
Institut Universitaire de France. His areas of research include the Schottky problem, problems of Torelli type, Fano varieties, and Prym varieties. Debarre has
Olivier_Debarre
Projective variety that is also an algebraic group
principally polarised abelian varieties are Jacobians of curves; see the Schottky problem. A polarisation induces a Rosati involution on the endomorphism ring
Abelian_variety
Soviet and Russian mathematician (1938–2024)
theory of theta functions. Novikov's conjecture about the Riemann–Schottky problem (characterizing principally polarized abelian varieties that are the
Sergei Novikov (mathematician)
Sergei_Novikov_(mathematician)
physics, Strategies for sequential search and selection in real time, Schottky problems, and Logic, fields, and subanalytic sets. import numpy as np from
Robbins'_problem
Two-terminal electronic component
that of other diodes. Schottky diodes are majority carrier devices and so do not suffer from minority carrier storage problems that slow down many other
Diode
PDE to describe nonlinear wave motion
mean-field equation of Davey–Stewartson type. Novikov–Veselov equation Schottky problem Dispersionless KP equation Wazwaz, A. M. (2007). "Multiple-soliton
Kadomtsev–Petviashvili equation
Kadomtsev–Petviashvili_equation
Egyptian engineer (1924–2009)
in metal–semiconductor junction and Schottky barriers resulted, as it overcame most of the fabrication problems inherent in point-contact diodes and
Mohamed_M._Atalla
British mathematician
conjecture; canonical models of moduli spaces of abelian varieties; the Schottky problem at the boundary; the relation between algebraic groups and del Pezzo
Nicholas_Shepherd-Barron
Either of two concepts in computer engineering
physicist Walter H. Schottky formulated a theory predicting the Schottky effect, which led to the Schottky diode and later Schottky transistors. For the
Logic_family
24 mathematical problems stated in 1982
Thurston's 24 questions are a set of mathematical problems in differential geometry posed by American mathematician William Thurston in his influential
Thurston's_24_questions
Emission of electrons induced by an electrostatic field
electron states close to the emitter Fermi level. (By contrast, in the Schottky emission regime, most electrons escape over the top of a field-reduced
Field_electron_emission
Topics referred to by the same term
code SBD Savings Bank of Danbury, a bank headquartered in Connecticut Schottky barrier diode Seaboard System Railroad, reporting mark SBD Secure by design
SBD
Model in solid-state physics
On theoretical grounds, the Poole–Frenkel effect is comparable to the Schottky effect, which is the lowering of the metal-insulator energy barrier due
Poole–Frenkel_effect
Solid-state electrically operated switch also used as an amplifier
commonly known as a Schottky diode. This is included in the table because some silicon power IGFETs have a parasitic reverse Schottky diode formed between
Transistor
Type of electronic noise
"The Schottky effect in low frequency circuits". Physical Review. 26 (1): 71–85. Bibcode:1925PhRv...26...71J. doi:10.1103/PhysRev.26.71. Schottky, W. (1918)
Flicker_noise
established by Yakov Frenkel, Walter Schottky and Carl Wagner, including the development of point-defect thermodynamics by Schottky and Wagner; this helped explain
Solid_state_ionics
Approach to mathematics using computation
others investigated various properties of Möbius transformation and the Schottky group using computer generated images of the groups which: furnished convincing
Experimental_mathematics
American electrical engineer and inventor (1931–2022)
include the first infrared light-emitting diode (LED), the optical isolator, Schottky clamped logic circuits, silicon metal–oxide–semiconductor read-only memory
James_R._Biard
British theoretical physicist (1905–1996)
of serious calibration problems that caused the measurements to change as the antenna tracked its targets. He solved this problem by designing a large metal
Nevill_Mott
Type of transistor
SB-FET (Schottky-barrier field-effect transistor) is a field-effect transistor with metallic source and drain contact electrodes, which create Schottky barriers
Field-effect_transistor
German computer scientist and engineer (1910–1995)
Werner von Siemens Ring in 1964 (together with Fritz Leonhardt and Walter Schottky) Harry H. Goode Memorial Award in 1965 (together with George Stibitz) Wilhelm
Konrad_Zuse
Russian mathematician (born 1950)
Noether–Enriques–Petri theorem, which later allowed him to solve a Schottky-type problem for the polarized Prym varieties, and to prove the existence of
Vyacheslav_Shokurov
Calculation technique for classical electrostatics
portal Flux Gaussian surface Image antenna Surface equivalence principle Schottky effect Griffiths, David J. (2013). Introduction to Electrodynamics (4th
Method_of_image_charges
Diode that emits light from an organic compound
development of conjugated polymers would allow others to largely eliminate these problems. His contribution has often been overlooked due to the secrecy NPL imposed
OLED
Vacuum tube used to display images
cutoff voltage becomes higher. Monochrome CRTs do not suffer from this problem. In monochrome CRTs video is fed to the gun by varying the voltage on the
Cathode_ray_tube
Signal with equal energy per octave
1017/S1464793101005607. PMID 11396846. S2CID 14973015. Johnson, J. B. (1925). "The Schottky effect in low frequency circuits". Physical Review. 26 (1): 71–85. Bibcode:1925PhRv
Pink_noise
Semiconductor light source
small amount of green light, provided by another LED, could correct the problem. Some products are RGBWW, i.e. RGBW with tunable white. A final class of
Light-emitting_diode
Electrical engineering equation
{\displaystyle I_{\text{S}}} using a recent model for 2D materials based Schottky diode. McAllister, Willy (2022-11-14). "Diode equation". Spinning Numbers
Shockley_diode_equation
Type of field-effect transistor
suppress the intrinsic noise we can replace the noisy oxide/Si interface by a Schottky junction gate. Drift of ISFET refers to the threshold voltage instability
ISFET
Area of physical and philosophical debate
Time-symmetric interpretations of quantum mechanics were first suggested by Walter Schottky in 1921. Several theories have been proposed that modify the equations
Interpretations of quantum mechanics
Interpretations_of_quantum_mechanics
Ancient royal dynasty state
"Medes – Livius". Labat 1961, p. 7. Rollinger, Robert; Wiesehöfer, Josef; Schottky, Martin (2011-12-01), "VII. Iranian Empires and their vassal states", Brill’s
Median_dynasty
Polish-German mathematician (1878–1933)
equations written under the supervision of Hermann Schwarz and Friedrich Schottky. From 1902 he worked as an electrical engineer for Siemens & Halske; then
Leon_Lichtenstein
Power supply with switching regulator
or so, ordinary silicon diodes are commonly used. For lower voltages, Schottky diodes are commonly used as the rectifier elements; they have the advantages
Switched-mode_power_supply
Electronic circuit that charges capacitors
multiple stages. A typical Schottky diode, on the other hand, might have an on state voltage of 0.3 V. A doubler using this Schottky diode will result in a
Voltage_doubler
Family of digital circuits
be made with PMOS FETs), it has several shortcomings as well. The worst problem is that there is a direct current (DC) through a PMOS logic gate when the
PMOS_logic
Semiconductor device capable of handling large amounts of electricity
strong influence on device performance: A majority carrier device (e.g., a Schottky diode, a MOSFET, etc.); this uses only one type of charge carriers. A minority
Power_semiconductor_device
Adages and sayings named after a person
is creating an algorithm that no one else can break". Schottky–Mott rule predicts the Schottky barrier height based on the vacuum work function of the
List_of_eponymous_laws
Field-effect transistor made from carbon nanotubes
in a Schottky barrier at the source and drain, which are made of metals like silver, titanium, palladium and aluminum. Even though like Schottky barrier
Carbon nanotube field-effect transistor
Carbon_nanotube_field-effect_transistor
German philosopher (1874–1945)
Philosophy under Hermann Cohen and Paul Natorp and Mathematics under Friedrich Schottky. In 1899 he graduated with a dissertation on René Descartes's analysis
Ernst_Cassirer
Failure mode in MOSFET circuits
S.; Retzler, J.P.; Messenger, G.C. (December 1978). "High Temperature Schottky TTL latch-up". IEEE Transactions on Nuclear Science. 25 (6): 1538–44. Bibcode:1978ITNS
Latch-up
diagram was invented by Charles Joseph Minard The Schottky diode was neither discovered by Schottky nor its operation correctly explained by him. The
List of examples of Stigler's law
List_of_examples_of_Stigler's_law
German physicist (1858–1947)
Walther Meissner (1882–1974) 1907 Fritz Reiche (1883–1960) 1912 Walter Schottky (1886–1976) 1914 Walther Bothe (1891–1957) Thermodynamics, also known as
Max_Planck
Electronics module
frequencies, lower losses, and smaller footprints. Hybrid modules pairing SiC Schottky barrier diodes with silicon IGBTs, and full SiC modules, demonstrate the
Power_module
Light energy absorbance and re-emission
Sometimes atoms can move from place to place within the lattice, creating Schottky defects or Frenkel defects. Other defects can occur from impurities in
Phosphorescence
Electronic component that exploits the electronic properties of semiconductor materials
Laser diode Light-emitting diode (LED) Photocell Phototransistor PIN diode Schottky diode Solar cell Transient-voltage-suppression diode Tunnel diode VCSEL
Semiconductor_device
Wide-bandgap semiconductor and abrasion-resistant ceramic
with resistance as low as 25 mΩ. Beside SiC switches and SiC Schottky diodes (also Schottky barrier diode, SBD) in the popular TO-247 and TO-220 packages
Silicon_carbide
more than 10,000 transistors in a single IC. The first gallium-arsenide Schottky-gate field-effect transistor (MESFET) was made by Carver Mead and reported
History_of_the_transistor
Device without any wire leads; vertical metal faces are used instead
high-performing film resistors (PDF), Vishay Intertechnology, 2010, retrieved 2014-04-15 Sensitron MELF Schottky Diode Vishay MELF resistors Vishay MELF rectifiers
Metal_electrode_leadless_face
Theoretical Physicist
intensively used in simulations of quantum chromodynamics. Wegner won the Walter Schottky prize in 1976 for his work on phase transitions and elementary particles
Franz_Wegner
Quantum mechanical phenomenon
German term wellenmechanischer Tunneleffekt was used in 1931 by Walter Schottky. The English term tunnel effect entered the language in 1932 when it was
Quantum_tunnelling
Electrical circuit power converter
reduced by at least nVT due to the voltage drops across the switches. Schottky diodes are commonly used in Dickson multipliers for their low forward voltage
Voltage_multiplier
Ancient state in West Asia
Wisconsin Pres. ISBN 978-0-299-31090-5. Rollinger, Robert; Wiesehöfer, Josef; Schottky, Martin (2011-12-01). "VII. Iranian Empires and their vassal states". Brill's
Median_kingdom
American multinational technology company
1969, was the 3101 Schottky TTL bipolar 64-bit static random-access memory (SRAM), which was nearly twice as fast as earlier Schottky diode implementations
Intel
Ethnological origin of the Huns
Huns, as does the part of central Asia that they emerged from. Martin Schottky, however, argues that while the invasions of the "Iranian Huns" may have
Origin_of_the_Huns
Central computer component that executes instructions
significant speed advantages afforded generally outweighed the reliability problems. Most of these early synchronous CPUs ran at low clock rates compared to
Central_processing_unit
Type of electron microscope
the electron beam. Electron beam induced current (EBIC) is used to study Schottky barriers, diffused, and ion-implanted p-n junctions. Cathodoluminescence
Scanning_electron_microscope
Array of logic gates that are reprogrammable
RGB inputs; MIPI, RGB and LVDS outputs. An FPGA can be used to solve any problem that is computable. FPGAs can be used to implement a soft microprocessor
Field-programmable_gate_array
German mathematician (1882–1957)
von Reihen bei der Annäherung an die Konvergenzgrenze, was supervised by Schottky and Frobenius; he received his PhD in 1907. Knopp traveled widely in Asia
Konrad_Knopp
Early radio receiver component
a crude unstable point-contact metal–semiconductor junction, forming a Schottky barrier diode. The wire whisker is the anode, and the crystal is the cathode;
Crystal_detector
Power semiconductor through-hole package
fixed and variable linear voltage regulator integrated circuits, and for Schottky diode pairs. Russian: КТ-28-2 Russian: КТ-28-1 TO-257 is a hermetically
TO-220
Device that controls current between electrodes
the stability problems of the triode as a radio frequency amplifier due to grid-to-plate capacitance, the physicist Walter H. Schottky invented the tetrode
Vacuum_tube
German mathematician (1815–1897)
necessary condition for the existence of strong extrema of variational problems. He also helped devise the Weierstrass–Erdmann condition, which gives sufficient
Karl_Weierstrass
8-bit microprocessor
product in March 1974. It was released a month later as requiring Low-power Schottky TTL (LS TTL) devices. The 8080A fixed this flaw. Intel offered an instruction
Intel_8080
Microchip manipulating light instead of electricity
Acceleration Program (LEAP) Solutions, Adoption Factors, Impediments, Open Problems, and Scenarios. Daudlin, Stuart; et al. (21 March 2025). "Three-dimensional
Photonic_integrated_circuit
Micro-electronic component
optimizing to minimize latency is an NP-complete problem equivalent to the Boolean satisfiability problem. For tasks running on processor cores, latency
System_on_a_chip
Type of bipolar junction transistor
sides of such a thin layer. The post-alloy diffused transistor solved this problem by making the bulk semiconductor crystal the collector (instead of the
Alloy-junction_transistor
Type of semiconductor laser diode
another laser. This allows a VCSEL to be demonstrated without the additional problem of achieving good electrical performance; however such devices are not
Vertical-cavity surface-emitting laser
Vertical-cavity_surface-emitting_laser
Extinct nomadic people in Eurasia (4th–6th centuries)
Wright 2011, p. 60; Thompson 1996, p. 1; Schottky 2004; Sinor 1990, p. 178; Heather 2005, pp. 148–149. Schottky 2004; Sinor 1990, p. 200. Pohl 1999, pp
Huns
adjustable arm. The resulting crude semiconductor junction functioned as a Schottky barrier diode, conducting in only one direction. Only particular sites
History_of_radio_receivers
Type of field-effect transistor
However, their structure failed to show the anticipated effects due to the problem of surface states: traps on the semiconductor surface that hold electrons
MOSFET
Device that converts heat flux into electrical energy
operational principle is now understood to have been a very simple form of Schottky junction. The typical efficiency of TEGs is around 5–8%, although it can
Thermoelectric_generator
Integrated circuit customized for a specific task
tools to complete the implementation of their designs. A solution to this problem, which also yielded a much higher density device, was the implementation
Application-specific integrated circuit
Application-specific_integrated_circuit
Microprocessor I/O port controller IC
totem pole IRQ output that must be isolated from a wired-OR circuit by a Schottky diode, due to the fact that the totem pole output actively drives the IRQ
MOS_Technology_6522
Electrical circuit detecting phase difference
with the phase detector characteristic. A mixer-based detector (e.g., a Schottky diode-based double-balanced mixer) provides "the ultimate in phase noise
Phase_detector
Observation on the growth of integrated circuit capacity
Chau, R. (2009). "Logic performance evaluation and transport physics of Schottky-gate III–V compound semiconductor quantum well field effect transistors
Moore's_law
light spot. Various semiconductor structures, including p-n junctions, Schottky barriers, and metal-oxide-semiconductor structures have been utilized in
Position_sensitive_device
Type of natural semiconductor with thicknesses on the atomic scale
One issue regarding graphene is its lack of a band gap, which poses a problem in particular with digital electronics because it is unable to switch off
Two-dimensional_semiconductor
Type of radio receiver
disclosure about seven months before Armstrong's. German inventor Walter H. Schottky also filed a related patent in 1918. At first the United States recognized
Superheterodyne_receiver
Electronic circuits that utilize digital signals
parasitic inductances and capacitances. Bad designs have intermittent problems such as glitches, vanishingly fast pulses that may trigger some logic but
Digital_electronics
Vacuum tube used for amplifying radio waves
20–23 dB versus 35–40 dB for a klystron. The lower gain is usually not a problem because at 20 dB the requirements for drive power (1% of output power)
Inductive_output_tube
Cascade of electronic components
Microwaves may be point contact diodes, Schottky diodes, Gallium Arsenide or p-n junction devices. Of these, Schottky diodes and junction diodes require biassing
RF_chain
German chemist (1901–1977)
he first became acquainted with Walter H. Schottky who asked him to co-author a book on thermodynamic problems. Together with Hermann Ulich they published
Carl_Wagner
German philosopher (1762–1814)
und die hermetische Demokratie der Freimaurer." In: Hammacher, Klaus, Schottky, Richard, Schrader, Wolfgang H. and Daniel Breazeale (eds.). Sozialphilosophie
Johann_Gottlieb_Fichte
Device for generating microwaves
from pulse to pulse, a more difficult problem for a wider array of radar systems. Neither of these present a problem for continuous-wave radars, nor for
Cavity_magnetron
Type of solid-state switch
superior switching characteristics like power MOSFETs or IGBTs. One major problem associated with SCRs is that they are not fully controllable switches.
Thyristor
SCHOTTKY PROBLEM
SCHOTTKY PROBLEM
Girl/Female
Muslim/Islamic
Away from all Problems
Boy/Male
American, Australian, British, Christian, English, Scottish
From Scotland; Diminutive of Scott; A Gael
Boy/Male
Arabic, Indian, Muslim
Problem Solver
Boy/Male
English Scottish American
From Scotland; a Gael.
Girl/Female
Bengali, Indian
Eternity; Problem Solver
Male
English
Variant spelling of English Scottie, SCOTTY means "Scotsman."
Boy/Male
Muslim
Problem solver
Boy/Male
Hindu, Indian
Problem
Girl/Female
Indian, Telugu
Destroyer of Problems
Boy/Male
Indian, Tamil
People with this Name are Preferably Intelligent and Very Generous; Highly Knowledgeable in Problem Solving Skills
SCHOTTKY PROBLEM
SCHOTTKY PROBLEM
Girl/Female
Christian & English(British/American/Australian)
Feminine of Daniel
Boy/Male
Indian, Punjabi, Sikh
Religious Holy Virtues
Surname or Lastname
Dutch and French
Dutch and French : from a variant of the personal name Mathias (see Matthew).English : patronymic from a pet form of Matthew.
Girl/Female
Hindu
Full of Honey, Sweet person
Boy/Male
Tamil
Deepamshu | திபமà¯à®·à¯à®‚Â
Part of light
Boy/Male
Hindu, Indian, Punjabi, Sanskrit, Sikh
Divine Light
Surname or Lastname
English, French, German, and Dutch
English, French, German, and Dutch : from a Germanic personal name
composed of the elements rīc ‘power(ful)’ + hard
‘hardy’, ‘brave’, ‘strong’.A Richard from Normandy is documented in Quebec City in 1669, with
the secondary surname
Surname or Lastname
English and Jewish (Ashkenazic)
English and Jewish (Ashkenazic) : occupational name for a flax grower or dealer or for someone who processed it for weaving (see Flax).Probably a respelling of German Flachsmann, of the same meaning as 1, from Middle High German vlahs ‘flax’ + man ‘man’.
Boy/Male
Hindu, Indian, Malayalam, Marathi
Strong Armed
Boy/Male
Arabic, Muslim
More Reliable; Steadier; A Narrator of Hadith
SCHOTTKY PROBLEM
SCHOTTKY PROBLEM
SCHOTTKY PROBLEM
SCHOTTKY PROBLEM
SCHOTTKY PROBLEM
a.
Questionable; equivocal; indefinite; problematical.
a.
Liable to question; subject to be doubted or called in question; problematical; doubtful; suspicious.
n.
The act of solving, or the state of being solved; the disentanglement of any intricate problem or difficult question; explanation; clearing up; -- used especially in mathematics, either of the process of solving an equation or problem, or the result of the process.
a.
Alt. of Problematical
a.
Single; not complex; not infolded or entangled; uncombined; not compounded; not blended with something else; not complicated; as, a simple substance; a simple idea; a simple sound; a simple machine; a simple problem; simple tasks.
n.
The quality or state of being solvable; as, the solvability of a difficulty; the solvability of a problem.
v. t.
To propose problems.
n.
A problem of more than usual difficulty added to another on an examination paper.
n.
A problem to be solved, or an example to be wrought out.
n.
A certain function relating to a system of forces and their points of application, -- first used by Clausius in the investigation of problems in molecular physics.
n.
The quality, condition, or degree of being soluble or solvable; as, the solubility of a salt; the solubility of a problem or intricate difficulty.
a.
Susceptible of being solved; as, a soluble algebraic problem; susceptible of being disentangled, unraveled, or explained; as, the mystery is perhaps soluble.
n.
To begin to deal with; as, to tackle the problem.
v. i.
To work, as at a puzzle; as, to puzzle over a problem.
n.
To cause to stick; to bring to a stand; to pose; to puzzle; as, to stick one with a hard problem.
v. t.
To explain; to resolve; to unfold; to clear up (what is obscure or difficult to be understood); to work out to a result or conclusion; as, to solve a doubt; to solve difficulties; to solve a problem.
a.
Having the nature of a problem; not shown in fact; questionable; uncertain; unsettled; doubtful.
n.
An instrument of the ancients for finding two mean proportionals between two given lines, required in solving the problem of the duplication of the cube.
n.
One who proposes problems.
v. t.
To have just and adequate ideas of; to apprehended the meaning or intention of; to have knowledge of; to comprehend; to know; as, to understand a problem in Euclid; to understand a proposition or a declaration; the court understands the advocate or his argument; to understand the sacred oracles; to understand a nod or a wink.