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In functional analysis, a branch of mathematics, the distortion problem is to determine by how much one can distort the unit sphere in a given Banach space
Distortion_problem
Deviation from rectilinear projection (optics)
In geometric optics, distortion is a deviation from rectilinear projection; a projection in which straight lines in a scene remain straight in an image
Distortion_(optics)
Theory about lossy data compression
x))\,dx\,dy.} The problem can also be formulated as a distortion–rate function, where we find the infimum over achievable distortions for given rate constraint
Rate–distortion_theory
Alteration of the original shape of a signal
In signal processing, distortion is the alteration of the original shape (or other characteristic) of a signal. In communications and electronics it means
Distortion
Technique in information theory
The information bottleneck can also be viewed as a rate distortion problem, with a distortion function that measures how well Y is predicted from a compressed
Information_bottleneck_method
Measurement of the harmonic distortion present in a signal
The total harmonic distortion (THD or THDi) is a measurement of the harmonic distortion present in a signal and is defined as the ratio of the sum of the
Total_harmonic_distortion
Exaggerated or irrational thought pattern
cognitive distortion is a thought that causes a person to perceive reality inaccurately due to being exaggerated or irrational. Cognitive distortions are involved
Cognitive_distortion
Developmental or acquired neurological disorders
cause speech errors involving the distortion and substitution of consonant sounds. Those with APD may have problems relating what has been said with its
Auditory_processing_disorder
the motion vector to a higher precision. Rate-distortion optimization solves the aforementioned problem by acting as a video quality metric, measuring
Rate–distortion_optimization
Gowers' solution to Banach's hyperplane problem and the Odell–Schlumprecht solution to the distortion problem. Also, several results of Argyros et al
Tsirelson_space
Model to predict the geometry of molecules
Second-order Jahn-Teller distortion (commonly known as pseudo Jahn-Teller distortion) is a singular, general, and powerful approach rigorously based in
Second-order Jahn-Teller distortion in main-group element compounds
Second-order_Jahn-Teller_distortion_in_main-group_element_compounds
Process of mapping a continuous set to a countable set
{\displaystyle M} levels, the rate–distortion minimization problem can be reduced to distortion minimization alone. The reduced problem can be stated as follows:
Quantization (signal processing)
Quantization_(signal_processing)
Many mathematical problems have been stated but not yet solved. These problems come from many areas of mathematics, such as theoretical physics, computer
List of unsolved problems in mathematics
List_of_unsolved_problems_in_mathematics
Image distortion caused by projection
keystone effect is the apparent distortion of an image caused by projecting it onto an angled surface. It is the distortion of the image dimensions, such
Keystone_effect
Former undersea telegraph cable
Thomson's work, leading to the insight needed to mitigate the phase-distortion problem. The wires, each weighing 26 kg/km (107 pounds per nautical mile)
Transatlantic_telegraph_cable
Characteristic quality of sounds from vacuum tube amplifiers
strings produces an almost clean sound; harder playing results in distortion. Problems playing this file? See media help. Before the commercial introduction
Tube_sound
Topics referred to by the same term
disturbance or perceptual disorder may refer to: Perceptual disturbances or distortions, for instance with hallucinogenic drugs Hallucinations, for instance
Perceptual_disturbance
may be considered tax havens, and their GDP data subject to material distortion by tax-planning activities. Examples include Bermuda, the Cayman Islands
List of countries by GDP (nominal) per capita
List_of_countries_by_GDP_(nominal)_per_capita
Fluctuations in the energy spectrum of the microwave background
CMB spectral distortions are tiny departures of the average cosmic microwave background (CMB) frequency spectrum from the predictions given by a perfect
Cosmic microwave background spectral distortions
Cosmic_microwave_background_spectral_distortions
American mathematician
and topology. He is primarily known for having solved Gromov's problem on distortion of knots, for which he was awarded the 2012 Morgan Prize. He is
John_Pardon
Harmful repetitive gambling
Problem gambling (PG), also known as pathological gambling, gambling disorder, gambling addiction or ludomania, is repetitive gambling behavior despite
Problem_gambling
American singer and songwriter (born 1982)
Dance Club Songs ("Show Me", "Make It Last", "I'm Gonna Get You" and "Distortion"), becoming the only former Pussycat Dolls' member to reach the top of
Jessica_Sutta
History of the iTunes application and e-commerce platform
12, 2011). "Apple Releases iTunes 10.5.2 with iTunes Match and Audio Distortion Fixes". MacRumors. Archived from the original on August 3, 2016. Retrieved
History_of_iTunes
Map of most or all of the surface of the Earth
three-dimensional surface of the Earth. While this is true of any map, these distortions reach extremes in a world map. Many techniques have been developed to
World_map
Mechanism of spontaneous symmetry breaking
effect, sometimes also referred to as Jahn–Teller distortion, describes the geometrical distortion of molecules and ions that results from certain electron
Jahn–Teller_effect
Normed vector space that is complete
Manifold modeled on Banach spaces Banach bundle – Concept in mathematics Distortion problem Interpolation space – Vector space in mathematics Locally convex topological
Banach_space
Neo-grotesque sans-serif typeface
vertical strokes narrowed but horizontals unchanged. Because of the distortion problems, Adobe dropped Helvetica Narrow in its release of Helvetica in OpenType
Helvetica
Concept in geometric group theory
mathematics, subgroup distortion measures the extent to which an overgroup can reduce the complexity of a group's word problem. Like much of geometric
Subgroup_distortion
Failure of a lens to focus all colors on the same point
In optics, chromatic aberration (CA), also called chromatic distortion, color aberration, color fringing, or purple fringing, is a failure of a lens to
Chromatic_aberration
Class of algorithms in information theory
numerically either the information theoretic capacity of a channel, the rate-distortion function of a source or a source encoding (i.e. compression to remove
Blahut–Arimoto_algorithm
Type of audio distortion
Slew-induced distortion (SID or slew-rate induced distortion) is caused when an amplifier or transducer is required to change output (or displacement)
Slew-induced_distortion
support. Timothy Gowers originally proved the result in 1992, motivated by a problem regarding Banach spaces. The result was subsequently generalised by Bartošová
Gowers'_theorem
Inductor in a transmission line
term originated in the 19th century for inductors used to prevent signal distortion in long-distance telegraph transmission cables. The term is also used
Loading_coil
problem in mathematics Do minor-closed graph families have ℓ 1 {\displaystyle \ell _{1}} embeddings with bounded distortion? More unsolved problems in
GNRS_conjecture
Pseudocylindrical compromise map projection
in favor of the Winkel tripel projection, as the latter "reduces the distortion of land masses as they near the poles". The Robinson projection is neither
Robinson_projection
Hypothetical invisible cosmic material
Unsolved problem in physics What is dark matter? How was it generated? More unsolved problems in physics In astronomy and cosmology, dark matter is an
Dark_matter
Source of statistical bias
The modifiable areal unit problem (MAUP) is a source of statistical bias that can significantly impact the results of statistical hypothesis tests. The
Modifiable_areal_unit_problem
Propagation of information or matter faster than the speed of light
pulse while strongly attenuating the pulse maximum and everything behind (distortion), the pulse maximum is effectively shifted forward in time, while the
Faster-than-light
2025 studio album by Sub Urban
of Maisonneuve's dark alternative and rock-based production with distortion. Problems playing this file? See media help. If Nevermore is a dark pop album
If_Nevermore_(album)
Delays experienced through a linear time-invariant system
the signal's waveform experiences distortion as it passes through the system. This distortion can cause problems such as poor fidelity in analog video
Group_delay_and_phase_delay
Signal processing effect
sampling result in the identical sample. It also often refers to the distortion or artifact that results when a signal reconstructed from samples is different
Aliasing
Cylindrical conformal map projection
large-scale sheets in the equirectangular projection as a way to minimize distortion of directions. If these sheets were brought to the same scale and assembled
Mercator_projection
First production electrostatic loudspeaker
"Electroacoustics" (1954) provided the mathematical solution to the distortion problem of the ESL in various forms. He calculated that in push-pull form
Quad Electrostatic Loudspeaker
Quad_Electrostatic_Loudspeaker
Perception that only seems real
exists". A separate but related phenomenon is a visual illusion, which is a distortion of a real external stimulus. Visual hallucinations are classified as simple
Hallucination
English rock band formed in 1967
Wave to Each Other, features Peter Hammill's voice with electronic distortion. Problems playing this file? See media help. In September, the new five-piece
Van_der_Graaf_Generator
Measured time difference as explained by relativity theory
Special relativity World line Pseudo-Riemannian manifold Phenomena Kepler problem Gravitational lensing Gravitational redshift Gravitational time dilation
Time_dilation
Provisions to an import agreement
indirect non-military offsets of $60B, that is, more 1000 times the distortion problem caused by Northrop (and the Finnish Ministry of Defense) to Beloit
Offset_agreement
Online vector quantization algorithm
vectors to a finite set of codewords. The problem has roots in Shannon's source coding theory and rate–distortion theory. In machine learning and information
TurboQuant
Australian former rapper and songwriter (born 1990)
Azalea several singles intended for her intended second album, Digital Distortion. However, a series of conflicts with her label, as well as personal conflicts
Iggy_Azalea
Linear model of communication
discuss redundancy as a solution to this problem: if the original message is redundant then the distortions can be detected, which makes it possible to
Shannon–Weaver_model
Electrical engineering problem
signal restoration is an inverse problem, where only the distorted signal is observed and some information about the distortion process and/or input signal
Multidimensional signal restoration
Multidimensional_signal_restoration
Swedish mathematician and concert pianist
unbounded distortion for embeddings into Euclidean spaces. Enflo considered the problem of uniform embeddability among Banach spaces, and the distortion was
Per_Enflo
Distortion of the genocide of Jews in World War II
According to the International Holocaust Remembrance Alliance, Holocaust distortion is "rhetoric, written work, or other media that excuse, minimize, or misrepresent
Holocaust_distortion
Methods to reduce sound pressure
Acoustic quieting Distortion Noise cancellation Noise control Noise measurement Noise power Noise reduction Noise temperature Phase distortion Noise in... Audio
Soundproofing
Techniques to study geometric data
fundamental issues in spatial analysis lead to numerous problems in analysis including bias, distortion and outright errors in the conclusions reached. These
Spatial_analysis
Neurological disorder that distorts perception of objects' size and distance
may also lose a sense of time, a problem similar to the lack of spatial perspective brought on by visual distortion. This condition is known as tachysensia
Alice_in_Wonderland_syndrome
Digital audio effect
A bitcrusher or bit crusher is an audio effect that produces distortion by reducing the resolution or bandwidth of digital audio data. The resulting quantized
Bitcrusher
American mathematician
1090/S0002-9939-1987-0883407-1 with Thomas Schlumprecht [1]: "The distortion problem." Acta Mathematica 173, no. 2 (1994): 259–281. doi:10.1007/BF02398436
Edward_Odell
1996 studio album by Social Distortion
White Trash is the fifth studio album by American punk rock band Social Distortion, released on September 17, 1996, by 550 Music and Epic Records. The album
White Light, White Heat, White Trash
White_Light,_White_Heat,_White_Trash
Machine for recording sound onto magnetic tape
reduction systems have been devised to ameliorate some noise and distortion problems.[citation needed] Variations in tape speed cause wow and flutter
Tape_recorder
Canadian drummer
their first EP before leaving in 1994. Most recently, he played in Social Distortion from 1996 to 1999. Biscuits has named his main influences as John Bonham
Chuck_Biscuits
Two interrelated physics theories by Albert Einstein
Simulation of the merger GW150914, showing spacetime distortion from gravity as the black holes orbit and merge
Theory_of_relativity
Set of "near" codewords in coding theory
on covering codes lists the following applications. Compression with distortion Data compression Decoding errors and erasures Broadcasting in interconnection
Covering_code
2009 studio album by Pelican
"Ephemeral" showcases the album's mixture of melody and post-metal distortion. Problems playing this file? See media help. Pelican enlisted several guest
What_We_All_Come_to_Need
Distortion effects pedal
The Boss MT-2 Metal Zone is a distortion pedal released by Boss in 1991. Designed for heavy metal guitarists, the Metal Zone is characterized by its high-gain
Boss_MT-2
Problematic excessive alcohol consumption
Alcoholism is the continued drinking of alcohol despite the problems it causes. Some definitions require evidence of dependence and withdrawal. Problematic
Alcoholism
Mathematical parameter of embeddings
of constructing low-distortion metric embeddings, are important in the theory of approximation algorithms. A major open problem in this area is the GNRS
Stretch_factor
System consisting of two black holes in close orbit around each other
settles down to a stable form, a stage called ringdown, where aspherical distortions in its shape are dissipated as additional gravitational wave radiation
Binary_black_hole
Part of graphic design that deals in the arrangement of visual elements on a page
monitors (LCD, LED, and more recently OLED) in 1997 eliminated the distortion problems caused by older CRT displays.[citation needed] As of 2016,[update]
Page_layout
Unresolved discrepancy in cosmology
In cosmology, the missing baryon problem is an observed discrepancy between the amount of baryonic matter detected from shortly after the Big Bang and
Missing_baryon_problem
Mental disorder involving hostility and defiance
failure to use verbal mediators to regulate their behavior, and cognitive distortions, such as interpreting a neutral event as an intentional hostile act.
Oppositional_defiant_disorder
Mechanism that controls the exposure time in cameras
they avoid the problems associated with travelling-curtain shutters such as flash synchronisation limitations and image distortions when the object is
Focal-plane_shutter
Non-fiction book by Nick Davies
Flat Earth News: An Award-winning Reporter Exposes Falsehood, Distortion and Propaganda in the Global Media is a 2008 non-fiction book by Nick Davies in
Flat_Earth_News_(book)
Systematic representation of the surface of a sphere or ellipsoid onto a plane
distort the surface in some way. Depending on the purpose of the map, some distortions are acceptable and others are not; therefore, different map projections
Map_projection
Type of therapy to improve mental health
alleviate symptoms of the disorder. CBT is based on the belief that thought distortions and maladaptive behaviors play a role in the development and maintenance
Cognitive_behavioral_therapy
Swedish-American physicist (1889–1976)
the distortion accumulated on the line, the contribution of each section of line needed to be small. Nyquist worked on several parts of this problem. His
Harry_Nyquist
reduce the percentage of distortion, they changed that distortion from even harmonic distortion to odd, making the distortion more unpleasant in some respects
Moving_iron_speaker
Type of psychological therapy
need for cognitive restructuring may present itself. Therefore, distortion is a problem which may be solved by cognitive reframing. Yet another major distinguishing
Cognitive_reframing
Cluster analysis problem
of k between 1 and n, and computing the distortion (described below) of the resulting clustering. The distortion curve is then transformed by a negative
Determining the number of clusters in a data set
Determining_the_number_of_clusters_in_a_data_set
Disturbance in an electrical circuit due to external sources of radio waves
speaker system. Problems playing this file? See media help. EMI sound sample 2 A Wi-Fi signal interferes with a speaker system. Problems playing this file
Electromagnetic_interference
Issue concerning Gustav and Alma Mahler
The Alma Problem is an issue of concern to certain musicologists, historians and biographers who deal with the lives and works of Gustav Mahler and his
Alma_Problem
American singer and songwriter (born 1981)
Beyoncé's vocals are processed with electronic effects such as reverb, distortion, and modulation. She predominantly sings in her natural Texan accent on
Beyoncé
Multidimensional digital pre-distortion (MDDPD), often referred to as multiband digital pre-distortion (MBDPD), is a subset of digital predistortion (DPD)
Multidimensional digital pre-distortion
Multidimensional_digital_pre-distortion
Polyhedral compromise map projection
resulting map is heavily interrupted in order to reduce shape and size distortion compared to other world maps, but the interruptions are chosen to lie
Dymaxion_map
Guitar effect pedal
The Boss DS-1 Distortion is a distortion pedal manufactured by Boss since 1978. Alongside the ProCo Rat released the same year, the DS-1 helped popularize
Boss_DS-1
Fatal system error screen
addition, he also pointed out a very special mention for the worst single distortion out of any misinformations, which belonged to BGR (Boy Genius Report)
Blue_screen_of_death
Manner of solving problems
provocation techniques—wishful thinking, exaggeration, reversal, escape, distortion, or arising. The thinker creates a list of provocations and then uses
Lateral_thinking
American guitarist (1942–1970)
extensive use of tone-altering effects units in mainstream rock, such as fuzz distortion, Octavia, wah-wah, and Uni-Vibe. He was the first musician to use stereophonic
Jimi_Hendrix
American electrical engineer
by sacrificing gain for higher linearity (or in other words, smaller distortion/intermodulation). By sacrificing gain, it also has an additional effect
Harold_Stephen_Black
Radon transform in theoretical physics Penrose–Terrell effect, visual distortion according to the special theory of relativity Penrose–Ward correspondence
List of things named after Roger Penrose
List_of_things_named_after_Roger_Penrose
Hypothetical topological feature of spacetime
between the two sheets a "bridge". — A. Einstein, N. Rosen, "The Particle Problem in the General Theory of Relativity" For the combined field, gravity and
Wormhole
Image capture method
if it represents a single instant in time. This produces predictable distortions of fast-moving objects or rapid flashes of light, referred to as rolling
Rolling_shutter
components and systems, particularly radio systems, for intermodulation distortion. It consists of simultaneously injecting two sinusoidal signals of different
Two-tone_testing
Vacuum tube electronic amplifier that uses a single triode to produce an output
antiphase inputs to generate an output with the wanted signals added and the distortion components subtracted. Single-ended amplifiers normally operate in Class
Single-ended_triode
Optical illusion
line, they suggested that their student Marshall Segall investigate the problem. In their definitive paper of 1966, they investigated seventeen cultures
Müller-Lyer_illusion
2004 studio album by the Crystal Method
Alias and an episode of CSI: Crime Scene Investigation. "Weapons of Mass Distortion" was featured in the teaser and theatrical trailers of The Bourne Ultimatum
Legion_of_Boom_(album)
President of the United States (2017–2021; since 2025)
Riccardi, Nicholas (September 17, 2020). "AP Fact Check: Trump's big distortions on mail-in voting". AP News. Retrieved October 7, 2020. Lipton, Eric;
Donald_Trump
Analysis of facts to form a judgment
includes identification of prejudice, bias, propaganda, self-deception, distortion, misinformation, etc. Given research in cognitive psychology, some educators
Critical_thinking
Chaotic model of atmospheric convection
between the rising and falling air currents. z is proportional to the distortion of the vertical temperature profile from a linear one. The model was developed
Lorenz_system
Record of humanity's attempts to find east-west position on Earth
intersecting at right angles. For large areas this leads to unacceptable distortion, and for his map of the inhabited world, Ptolemy used projections (to
History_of_longitude
DISTORTION PROBLEM
DISTORTION PROBLEM
Boy/Male
Muslim
Problem solver
Boy/Male
Arabic, Indian, Muslim
Problem Solver
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
Girl/Female
Muslim/Islamic
Away from all Problems
Boy/Male
Hindu, Indian
Problem
Girl/Female
Bengali, Indian
Eternity; Problem Solver
DISTORTION PROBLEM
DISTORTION PROBLEM
Boy/Male
Muslim
Faculty. Power. Nature.
Boy/Male
Hindu
Eternal happiness and bliss
Male
Hebrew
Hebrew name ELIOR means "my God is light."
Girl/Female
Spanish
Star.
Girl/Female
Hindu
Boy/Male
Indian
Helpfull
Boy/Male
Gujarati, Hindu, Indian, Kannada, Malayalam, Marathi, Sindhi
Worshipper
Girl/Female
Indian, Telugu
True Treasure; Goddess Lakshmi
Boy/Male
Indian, Telugu
God Venkateswara
Girl/Female
Indian
Goodness
DISTORTION PROBLEM
DISTORTION PROBLEM
DISTORTION PROBLEM
DISTORTION PROBLEM
DISTORTION PROBLEM
n.
The state of being distorted, or twisted out of shape or out of true position; crookedness; perversion.
n.
See Intorsion.
n.
A wresting from the true meaning.
n.
A distortion bulge, bend, or kink, as in a saw blade or a plate of sheet metal.
n.
The act of wresting; a wrench; a violent twist; hence, distortion; perversion.
n.
The obtaining of property from another by an intentional active distortion of the truth.
n.
Same as Distention.
a.
Causing distortion.
v. t.
An exaggeration, or distortion by exaggeration, of parts or characteristics, as in a picture.
n.
Breadth; extent or space occupied by the thing distended.
n.
Flatulent distention of the abdomen; tympanites.
p. pr. & vb. n.
of Distort
n.
The act of distorting, or twisting out of natural or regular shape; a twisting or writhing motion; as, the distortions of the face or body.
n.
A flatulent distention of the belly; tympanites.
n.
The small distortion of an astronomical instrument caused by the weight of its parts; the amount to be added or substracted from the observed readings of the instrument to correct them for this distortion.
n.
The act of detorting, or the state of being detorted; a twisting or warping.
n.
A flatulent distention of the belly; tympany.
n.
The act of distending; the act of stretching in breadth or in all directions; the state of being Distended; as, the distention of the lungs.
n.
Same as Detortion.
n.
An unnatural deviation of shape or position of any part of the body producing visible deformity.