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Nonlinear and Dimensionality
* A Global Geometric Framework for Nonlinear Dimensionality Reduction

Nonlinear and Methods
Nonlinear Programming: Analysis and Methods.
* Jaschke, Leonhard: Preconditioned Arnoldi Methods for Systems of Nonlinear Equations.
Nonlinear Programming: Analysis and Methods.

Nonlinear and for
The Fermi – Pasta – Ulam problem is credited not only as " the birth of experimental mathematics ", but also as inspiration for the vast field of Nonlinear Science.
In 1980, Donald Kerr, laboratory director at Los Alamos, with the strong support of Ulam and Mark Kac, founded the Center for Nonlinear Studies ( CNLS ).
* Center for Nonlinear Phenomena and Complex Systems at Université libre de Bruxelles, Belgium
* The Center for Nonlinear Studies at Los Alamos National Laboratory
A study published in 2010 and conducted by Boian S. Alexandrov and colleagues at the Center for Nonlinear Studies at Los Alamos National Laboratory in New Mexico created mathematical models predicting how terahertz radiation would interact with double-stranded DNA, showing that, even though involved forces seem to be tiny, nonlinear resonances ( although much less likely to form than less-powerful common resonances ) could allow terahertz waves to " unzip double-stranded DNA, creating bubbles in the double strand that could significantly interfere with processes such as gene expression and DNA replication ".
Nonlinear effects like the I-V-characteristic of the boundary sheath are utilized for Langmuir probe measurements but they are usually neglected for modelling of RF discharges due to their very inconvenient mathematical treatment.
* Harry L. Swinney, ' 61-Director of the Center for Nonlinear Dynamics at the University of Texas at Austin.
In the case of a Tonks – Girardeau gas ( TG ), so many properties of this one-dimensional string of bosons would be sufficiently fermion-like that the situation is often referred to as the ' fermionization ' of bosons. Tonks – Girardeau gas coincide with quantum Nonlinear Schrödinger equation for infinite repulsion, which can be efficiently analyzed by Quantum inverse scattering method.
* Nonlinear junction detector ( NLJD ) for detection of components associated with hidden eavesdropping devices.
* Jeffrey T. Spooner, Manfredi Maggiore, Raul Ord onez, and Kevin M. Passino, Stable Adaptive Control and Estimation for Nonlinear Systems: Neural and Fuzzy Approximator Techniques, John Wiley & Sons, NY ;
Some nonlinear variants of models with exogenous variables have been defined: see for example Nonlinear autoregressive exogenous model.
Nonlinear models for binary dependent variables include the probit and logit model.
Nonlinear media are essential for nonlinear optics.
The logistic map is a prominent example of the mappings that Feigenbaum studied in his noted 1978 article: Quantitative Universality for a Class of Nonlinear Transformations.
* Nonlinear Model Predictive Control Toolbox for MATLAB and Python
Pulse generators capable of generating pulses with widths under approximately 100 picoseconds are often termed " microwave pulsers ", and typically generate these ultra-short pulses using Step recovery diode ( SRD ) or Nonlinear Transmission Line ( NLTL ) methods ( see, for example, ).
* Jeffrey T. Spooner, Manfredi Maggiore, Raul Ord onez, and Kevin M. Passino, Stable Adaptive Control and Estimation for Nonlinear Systems: Neural and Fuzzy Approximator Techniques, John Wiley and Sons, NY, 2002.
Nonlinear phase shift Φ as a function of δ for different R values: ( a ) R = 0, ( b ) R = 0. 1, ( c ) R = 0. 5, and ( d ) R = 0. 9.
Nonlinear filters are sometimes used also for removing very short wavelength, but high amplitude features from data.
Avid DNxHD, which stands for " Digital Nonlinear Extensible High Definition ", is a lossy high-definition video post-production codec engineered for multi-generation compositing with reduced storage and bandwidth requirements.

Nonlinear and with
* Nonlinear light-matter interaction with free electrons and plasmas
The term " nonlinear editing " or " non-linear editing " was formalized in 1991 with the publication of Michael Rubin's Nonlinear: A Guide to Digital Film and Video Editing ( Triad, 1991 ) -- which popularized this terminology over other language common at the time, including " real time " editing, " random-access " or " RA " editing, " virtual " editing, " electronic film " editing, and so on.
* 1964 Nonlinear Mathematics, with J. Bram, no ISBN, McGraw-Hill.
RTC North and a private company, Nonlinear Dynamics-a world leader in its field – announced a research collaboration with Northumbria University which could lead to a major breakthrough in the production of bio-fuels.
In recent years, the cognitive neuroscientist Walter Freeman proposes that Thomism is the philosophical system explaining cognition that is most compatible with neurodynamics, in a 2008 article in the journal Mind and Matter entitled " Nonlinear Brain Dynamics and Intention According to Aquinas.
* Studies of Nonlinear Femtosecond Pulse Propagation in Bulk Materials with a chapter on ultrashort pulse measurement techniques, PhD thesis ( by Hilary K. Eaton )
Nonlinear static procedures use equivalent SDOF structural models and represent seismic ground motion with response spectra.
Nonlinear dynamic analysis utilizes the combination of ground motion records with a detailed structural model, therefore is capable of producing results with relatively low uncertainty.
Nonlinear core corrections or " semicore " electron inclusion deal with situations where overlap is non-negligible.
Nonlinear least square fitting typically becomes unstable with even a small number of s. A more robust fitting scheme, especially useful for polydisperse samples, is the Maximum Entropy Method.
Nonlinear film emerged from the French avant-garde in 1929 with Luis Buñuel and Salvador Dalí's Un Chien Andalou ( English: An Andalusian Dog ).
* Nonlinear gameplay, in computer and video games, presents players with challenges that can be completed in a number of different sequences.

Dimensionality and Reduction
Diffeomorphic Dimensionality Reduction or Diffeomap learns a smooth diffeomorphic mapping which transports the data onto a lower dimensional linear subspace.
* Matlab Toolbox for Dimensionality Reduction

Reduction and for
A number of international treaties on the long range transport of atmospheric pollutants have been agreed for example, Sulphur Emissions Reduction Protocol under the Convention on Long-Range Transboundary Air Pollution.
Reduction modulo p ( which is needed for addition and multiplication ) can be executed much faster if the prime p is a pseudo-Mersenne prime that is, for example, or Compared to Barrett reduction there can be an order of magnitude speedup.
In December 2000 Guinea-Bissau qualified for almost $ 800 million in debt-service relief under the first phase of the enhanced HIPC initiative and is scheduled to submit its Poverty Reduction Strategy Paper in March 2002.
However, Cindy Fazey, former Chief of Demand Reduction for the United Nations Drug Control Programme, believes that the treaties have enough ambiguities and loopholes to allow some room to maneuver.
A popular program that has received bipartisan domestic support for over a decade is the Cooperative Threat Reduction Program ( CTR ).
* Earliest day on which International Day for Natural Disaster Reduction can fall, while October 14 is the latest ; observed on the second Wednesday of October ( Hawaii )
* International Day for Natural Disaster Reduction
In November 1992, President Bush assigned responsibility for overall training, management, leadership, coordination and support for U. S. Open Skies observation missions to the On-Site Inspection Agency ( OSIA ), now a part of the Defense Threat Reduction Agency ( DTRA ).
* Reduction ( recursion theory ), given sets A and B of natural numbers, is it possible to effectively convert a method for deciding membership in B into a method for deciding membership in A?
* Reduction of order, a technique for solving second-order ordinary differential equations
* Reduction of the structure group, for a-bundle and a map an-bundle such that the pushout is isomorphic to
* Reduction criterion, in quantum information theory, a necessary condition a mixed state must satisfy in order for it to be separable
The Protocol to the 1979 Convention on Long-Range Transboundary Air Pollution on the Reduction of Sulphur Emissions or Their Transboundary Fluxes by at Least 30 % is an agreement to provide for a 30 % reduction in sulphur emissions or transboundary fluxes by 1993.
The Protocol to the 1979 Convention on Long-Range Transboundary Air Pollution on Further Reduction of Sulphur Emissions is an agreement to provide for a further reduction in sulphur emissions or transboundary fluxes.
Other names for emissions permits are carbon credits, Kyoto units, assigned amount units, and Certified Emission Reduction units ( CER ).
** Reduction mammoplasty (" breast reduction "): removal of skin and glandular tissue, which is done to reduce back and shoulder pain in women with gigantomastia and / or for psychological benefit men with gynecomastia
On March 1, 2001, the IMF Board granted the country $ 103 million for 2001 – 03 under the Poverty Reduction and Growth Facility ( PRGR ).
Research commissioned for the Florida Department of Transportation, published in 2005, found that, in Florida, the Crash Reduction Factor ( used to estimate the expected reduction of crashes during a given period ) resulting from the installation of sidewalks averaged 74 %.
Even after the garrison inactivation, however, there were still two units in Darmstadt until new facilities had been constructed for them elsewhere: The 66th Military Intelligence Group at the Dagger Complex on Eberstädter Weg, and the Defense Threat Reduction Agency in the Nathan Hale Depot.
: See Emissions Reduction Currency System for community based initiatives aimed at emission reduction
He is a professor at the University of Western Ontario and Chair for Policy in the Institute for Catastrophic Loss Reduction.

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