Examples of nonlinear components that are used as mixers are vacuum tubes and transistors biased near cutoff ( class C ), and diodes.

) Solitons arise as the solutions of a widespread class of weakly nonlinear dispersive partial differential equations describing physical systems.

A Belousov – Zhabotinsky reaction, or BZ reaction, is one of a class of reactions that serve as a classical example of non-equilibrium thermodynamics, resulting in the establishment of a nonlinear chemical oscillator.

Olga Arsenievna Oleinik introduced her view of generalized solutions for nonlinear partial differential equations as functions from the space BV in the paper, and was able to construct a generalized solution of bounded variation of a first order partial differential equation in the paper: few years later, Edward D. Conway and Joel A. Smoller applied BV-functions to the study of a single nonlinear hyperbolic partial differential equation of first order in the paper, proving that the solution of the Cauchy problem for such equations is a function of bounded variation, provided the initial value belongs to the same class.

These short pulses open the new field of ultrafast optics, which is a field of nonlinear optics that gives access to a completely new class of phenomena like measurement of electron movements in an atom ( attosecond phenomena ), coherent broadband light generation ( ultrabroad lasers ) and thereby gives rise to many new applications in optical sensing ( e. g. coherent laser radar, ultrahigh resolution optical coherence tomography ), material processing and other fields like metrology ( extremely exact frequency and time measurements ).

" In awarding the 2006 Steele Prize to Gardner, Greene, Kruskal, and Miura, the American Mathematical Society stated that before their work " there was no general theory for the exact solution of any important class of nonlinear differential equations.

* Variable structure systems, a class of discontinuous nonlinear systems

While metals do become slightly more resistant at higher temperatures, this class of ceramics ( often barium titanate and lead titanate composites ) has a highly nonlinear thermal response, so that it becomes extremely resistant above a composition-dependent threshold temperature.

There is a special class of nonlinear σ models with the internal symmetry group G *.

Interior point methods ( also referred to as barrier methods ) are a certain class of algorithms to solve linear and nonlinear convex optimization problems.

These ideas were mainly developed for general nonlinear programming, but they were later abandoned due to the presence of more competitive methods for this class of problems ( e. g. sequential quadratic programming ).

And while no one expects total democracy on the academic scene, the scholar will be particularly sensitive to a line between first and second class citizenship drawn on any basis other than that of academic rank or professional achievement.

< div class =" thumbcaption "> This animation moves at 10 frames per second .</ div >

In 1826 Johnston graduated eighth of 41 cadets in his class from West Point with a commission as a brevet second lieutenant in the 2nd U. S. Infantry.

He graduated in 1842, 24th in a class of 56 cadets, and was commissioned a brevet second lieutenant in the 3rd U. S. Artillery.

Tricyclic antidepressants are the second oldest class of antidepressant drugs.

Jerome ( 347 – 420 ) relegated it to second class.

* Borough Council, a class of second tier council in the United Kingdom

Georges Dumézil in his controversial trifunctional hypothesis proposed that ancient societies had three main classes each with distinct functions: the first judicial and priestly ; the second connected with the military and war, while the third class focussed on production, agriculture, craft and commerce.

second class in classics, December 1819, and M. A.

Receiving her law degree from New York University Law School, she graduated second in the class of 1907.

There must be no second class citizens in this country.

The second development was the replacement of the torpedo boat-style turtleback foredeck by a raised forecastle for the new River class destroyers built in 1903, which provided better sea-keeping as well as more space below deck.

The second batch of the class gave the guns high-angle turrets for anti-aircraft warfare, and the oxygen-fueled ' Long Lance ' Type 93 torpedo.

Of the second class there are:

A second class of internal combustion engines use continuous combustion: gas turbines, jet engines and most rocket engines, each of which are internal combustion engines on the same principle as previously described.

In 1836 Marx became engaged to Jenny von Westphalen, a beautiful baroness of the Prussian ruling class —" the most desirable young woman in Trier " — who broke off her engagement with a young aristocratic second lieutenant to be with him.

An Equestrian ( Latin, from eques " horseman ", from equus " horse ") was a member of the second highest social class in the Roman Republic and early Roman Empire.

With an apparent brightness of 0. 03m, this is the second brightest star of the northern hemisphere ( after Arcturus ) and the fifth brightest star in all ; its spectral class is A0 V and it lies at a distance of only 25. 3 ly.

Foodservice establishments with names ending with the Chinese character tang (), or tang zihao (), are similar to foodservice establishments with names ending with the Chinese character zhuang, but the business of these second class foodservice establishments were generally evenly divided among onsite banquet hosting and catering ( at customers ’ homes ).

These were only the second class to graduate from the academy, which is modeled after the United States Military Academy at West Point.

The second daughter of a middle class family, she revealed a talent for acting as a girl.

The Sergeant Matej Kocak Class, the second class of MPS ships chartered by MSC, also gained 157 feet ( 48 m ) amidships and a helicopter deck after conversion.

He earned the Iron Cross ( second class ) and reached the rank of vizefeldwebel.

According to the estimates of Jacques Necker in 1788, the capitation tax was so riddled in practice, that the privileged classes ( nobles and clergy and towns ) were largely exempt, while the lower classes were heavily crushed: the lowest peasant class, originally assessed to pay 3 livres, were now paying 24, the second lowest, assessed at 10 livres, were now paying 60 and the third-lowest assessed at 30 were paying 180.

The second prong of the test is whether the type of harm was in the class of expected harms.

It was in order to avoid the stuffy routine of middle class life that Holmes became a detective in the first place.

The same restrictions apply after local sunset in the case of class 3, stations operating on regional channels, which after that time are required to operate under nighttime restrictions in order to protect each other.

The congruence of its secants is therefore of order Af and class Af.

Therefore, the congruence of its secants, that is the image of a general plane field of lines, is of order Af and class Af.

Finally, the image of a general bundle of lines is a congruence whose order is the order of the congruence of invariant lines, namely Af and whose class is the order of the image congruence of a general plane field of lines, namely Af.

in conducting the Membership Preparation-Inquirers' Class, the pastor should plan a variety of teaching techniques in order to develop greater interest on the part of the class.

The systematic position of the order Agnostida within the class Trilobita remains uncertain, and there has been continuing debate whether they are trilobites or a stem group.

Antigens can be classified in order of their class.

It is best known from the Cronquist system, of 1981, which placed this order in subclass Zingiberidae, of class Liliopsida.

The Engler system, in its update of 1964, placed the order in class Monocotyledoneae.

* Captain Foulenough: archetypal cad and gatecrasher who impersonates the upper class in order to wreck their social events.

The still older Cronquist system of 1981, which was not based on molecular data, placed the order in subclass Commelinidae of class Liliopsida and included the families Commelinaceae, Mayacaceae, Rapateaceae and Xyridaceae.

A typical class is worth 9 academic units and given the extensive core curriculum requirements in addition to individual options ' degree requirements, students need to take an average of 40. 5 units per term ( more than four classes ) in order to graduate in four years.

Except for nautiloids ( represented by the modern order Nautilida ) and coleoids ( which had already diverged into modern octopodes, squids, and cuttlefish ) all other species of the molluscan class Cephalopoda became extinct at the K – T boundary.

According to American circus expert Hovey Burgess, they are ( in order of class ):

It reflected the attitudes of a rural land owning class, and championed the institutions of the monarchy, the Anglican Church, the family, and property as the best defence of the social order.

In some cases class certification may require discovery in order to determine its size and if the proposed class meets the standard for class certification.

Coupon settlements may be scrutinized by an independent expert before judicial approval in order to ensure that the settlement will be of value to the class members ( 28 U. S. C. A.

In order to be confirmed over their objection the plan must not discriminate against that class of creditors, and the plan must be found fair and equitable to that class.

The Cronquist system, of 1981, did not recognise such an order, but placed most such plants in order Liliales in subclass Liliidae in class Liliopsida ( monocotyledons ) of division Magnoliophyta ( angiosperms ).