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...be the loop [[transfer function]] and ''S'' be the [[Sensitivity (control systems)|sensitivity function]]. where <math>p_k</math> are the [[Pole (complex analysis)|poles]] of ''L'' in the right half plane (unstable poles). ...

...ntino Tosatti}}</ref><ref>{{cite book|author=Tosatti, V.|title=Geometry of Complex Monge-Ampère Equations|year=2009|url=https://cims.nyu.edu/~vt2234/ma.pdf}}< ...nections of his main research topics with algebraic geometry and dynamical systems.<ref name="CV" /> ...

...ariance|'''U'''(1)-invariant]] [[Hamiltonian system]]s, named after Soviet scientists Aleksandr Kolokolov (Александр Александрович Колоколов) and Nazib Vakhitov ...tion]]. The solution <math>u(x,t)</math> is assumed to be [[complex number|complex]]-valued. Since the equation is '''U'''(1)-invariant, by [[Noether's theore ...

...ike complex, but follow different algebraic rules. In summary, whereas for complex numbers the imaginary unit <math>i</math> satisfies <math>i^{2}=1</math>, f ...There is an advantage and a disadvantage to using dual numbers in place of complex numbers. As an advantage, the method using dual numbers to compute sensitiv ...

|fields = [[Strongly correlated material|Strongly-correlated systems]], [[condensed matter]] ...d atom|cold atoms]] and [[Strongly correlated material|strongly-correlated systems]]. In 2019, the [[European Physical Society]] awarded Morais Smith its [[Em ...

...960 under [[Heinrich Behnke]] with a dissertation on analysis in several [[complex variable]]s (construction of [[holomorphic]] hulls of unramified regions ov ...Bowen | title=Towards Verified Systems | series=Real-Time Safety Critical Systems | volume=2 |publisher=[[Elsevier]] | isbn=0-444-89901-4 | date=1994 }}</ref ...

with ''A''(''t''₁) a [[complex-valued amplitude]] to the zeroth-order solution ''Y''₀(''t'',&nb where ''c.c.'' denotes the [[complex conjugate]] of the preceding terms. The occurrence of ''secular terms'' can ...

...ne or in collaboration,<ref>F. Diacu, Near-Collision Dynamics for Particle Systems with Quasihomogeneous Potentials, [[Journal of Differential Equations]], 12 ...vel approach to the ''n''-body problem in curved space, blending dynamical systems, differential geometry, and geometric and celestial mechanics in a lucid, i ...

...2)(\mu_3-NH)2]Cl}</math>. Upon combustion, it produces a purple vapor. The complex has a [[square planar molecular geometry]] with a [[low spin]] state.<ref>{ ...n the formula proved to be incorrect but offered a fair estimate for later scientists to jump from. ...

| title = Instability of Periodic Wavetrains in Nonlinear Dispersive Systems ...stability of high-power lasers in organic solvents was observed by Russian scientists N. F. Piliptetskii and A. R. Rustamov in 1965,<ref>{{Cite journal|last1=Pil ...

|known_for = Theory of complex non-linear catalytic reactions His theory of complex [[steady-state]] and non-steady-state catalytic reactions<ref>{{cite book|l ...

...oks.google.com/books?id=EvwYxKptVmEC |title=A Practical Theory of Reactive Systems: Incremental Modeling of Dynamic Behaviors |date=2005-07-20 |publisher=Spri ...nd the negation of its dual will therefore be ¬¬(ψ*). Now, since ψ is less complex than φ, the induction hypothesis gives us that ψ = ¬(ψ*). By substitution, ...

...dentifies the most influential nodes. Since the mid 2000s, however, social scientists and network physicists have begun to question the suitability of centralit ...ear. The accuracy of a centrality measure depends on network topology, but complex networks have heterogeneous topology. Hence a centrality measure which is a ...

.... Don't give up, it takes time to learn the ropes on Wikipedia, it is more complex than it might seem. [[User:Ldm1954|Ldm1954]] ([[User talk:Ldm1954|talk]]) 0 ...s. Understanding how internal natural convection works helps engineers and scientists study and predict fluid movement in different situations. ...

...f incorrect methodologies by scientists, and of deliberate manipulation by scientists of analytical results in order to obtain statistically significant estimate Causal inference is conducted via the study of systems where the measure of one variable is suspected to affect the measure of ano ...

...ple structure of the instrumental setup, LSCI can be integrated into other systems easily.<ref name=":4">{{Cite journal|last1=Briers|first1=David|last2=Duncan ...eld changes of scatterers. E(t) is the electric field over time, E* is the complex conjugate of electric field and <math>\tau</math> is the autocorrelation de ...

...happen at depth within the Earth.<ref name=":0" /><ref name=":10" /> Thus, scientists began making proportional small-scale simulations of features in the natura ...uantitative research|quantitative approach]] was further developed by many scientists later.<ref name=":0" /> As the field of geodynamic study expanded, analogue ...

...heorem and the equation of the circle, that can generate a wide variety of complex shapes found in nature.<ref>{{Cite patent|number=7620527|title=Method and a ...ucts focus on [[Internet of things|Internet of Things]] and mmWave antenna systems.<ref>{{Cite book |last1=Theis |first1=Guilherme |last2=Smolders |first2=A. ...

...delling''' is a set of different strategies that are used by engineers and scientists to develop models capable of evaluating different [[List of thermodynamic p ...ermodynamic models that can evaluate the specific volume of gas and liquid systems as a function of pressure and temperature. To develop a cubic model, first, ...

...ry University]]. He was a specialist in [[statistical physics]], [[complex systems]] and [[Irish mythology]].<ref>{{cite web|url=http://www.complexity-coventr * [[Complex systems]] ...