AI & ChatGPT searches , social queriess for NONLINEAR REALIZATION
Search references for NONLINEAR REALIZATION. Phrases containing NONLINEAR REALIZATION
See searches and references containing NONLINEAR REALIZATION!
Search references for NONLINEAR REALIZATION. Phrases containing NONLINEAR REALIZATION
See searches and references containing NONLINEAR REALIZATION!NONLINEAR REALIZATION
In mathematical physics, nonlinear realization of a Lie group G possessing a Cartan subgroup H is a particular induced representation of G. In fact, it
Nonlinear_realization
Topics referred to by the same term
objective function Nonlinear realization, a kind of induced representation of a Lie group possessing a Cartan subgroup Nonlinear system, collection of interacting
Nonlinearity_(disambiguation)
Class of quantum field theory models
subset) and is also a homogeneous space of G or in other words, a nonlinear realization of G. In many cases, G/H can be equipped with a Riemannian metric
Non-linear_sigma_model
Model of mesons in the massless quark limit
\qquad i=1,2,3.} The nonlinear terms (shifting π) on the right-hand side of the second equation underlie the nonlinear realization of SO(4). The chiral
Chiral_model
Process of extending a representation of a subgroup to the parent group
cusp forms, to the Langlands program. Restricted representation Nonlinear realization Frobenius character formula Frobenius reciprocity, an important
Induced_representation
Numerical method for solving physical or engineering problems
is more important to have accurate predictions over developing highly nonlinear phenomena, such as tropical cyclones in the atmosphere or eddies in the
Finite_element_method
Type of massless subatomic particle
up ("reduces") supermultiplet structures into the characteristic nonlinear realizations of broken supersymmetry, so that goldstinos are superpartners of
Goldstone_boson
Type of recurrent neural network with random and non-trainable internal structure
reservoir and only training the linear output layer. A large variety of nonlinear dynamical systems can serve as a reservoir that performs computations
Reservoir_computing
Nambu–Goldstone fermion
arrays. In effect, SSB of supersymmetry, by definition, implies a nonlinear realization of the supersymmetry in the Nambu−Goldstone mode, in which the goldstino
Goldstino
Unexpectedly large transient ocean surface wave
waves. Among other causes, studies of nonlinear waves such as the Peregrine soliton, and waves modeled by the nonlinear Schrödinger equation (NLS), suggest
Rogue_wave
Branch of engineering and mathematics
real-world systems because all real control systems are nonlinear. These systems are often governed by nonlinear differential equations. The few mathematical techniques
Control_theory
Mathematical model of a system in control engineering
fraction. It is important to understand that converting a state-space realization to a transfer function form may lose some internal information about
State-space_representation
Statistical proof by contradiction technique
data is a realization of a stationary linear system, whose output has been possibly measured by a monotonically increasing possibly nonlinear (but static)
Surrogate_data_testing
World spatial reference system co-rotating with the Earth in its diurnal motion in space
physical standard might be described as a set of procedures for creating a realization of that standard. The ITRS defines a geocentric system of coordinates
International Terrestrial Reference System and Frame
International_Terrestrial_Reference_System_and_Frame
American physicist
physics and especially in nonlinear optics. He is currently the Canada Excellence Research Chair Laureate in Quantum Nonlinear Optics based at the University
Robert_W._Boyd
ISSN 0370-2693. Bando, Masako; Kugo, Taichiro; Yamawaki, Koichi (1988). "Nonlinear realization and hidden local symmetries". Physics Reports. 164 (4–5). Elsevier
Vector_meson_dominance
Quantum algorithm for solving systems of linear equations
algorithm. Solving nonlinear differential equations Two groups proposed efficient algorithms for numerically integrating dissipative nonlinear ordinary differential
HHL_algorithm
Field of electrical engineering
well as nonlinear ones. The former are, for instance, passive filters, active filters, additive mixers, integrators, and delay lines. Nonlinear circuits
Signal_processing
Type of feedforward neural network
feedforward neural network consisting of fully connected neurons with nonlinear activation functions, organized in layers, notable for being able to distinguish
Multilayer_perceptron
been experimentally realized in electronic circuit implementations of nonlinear oscillators, enabling the study of high-dimensional chaotic dynamics and
Hyperchaos
Computer hardware technology that uses quantum mechanics
A quantum computer is a real or theoretical computer that exploits quantum phenomena like superposition and entanglement in an essential way. It is widely
Quantum_computing
Study of mathematical algorithms for optimization problems
ratios of two nonlinear functions. The special class of concave fractional programs can be transformed to a convex optimization problem. Nonlinear programming
Mathematical_optimization
Nonlinear partial differential equation
The sine-Gordon equation is a second-order nonlinear partial differential equation for a function φ {\displaystyle \varphi } dependent on two variables
Sine-Gordon_equation
Electronic circuit
square-law nonlinearity of the voltage-to-force transfer function of a cantilever resonator's capacitive transducer can be employed for the realization of frequency
Frequency_multiplier
Model for approximating non-linear effects, similar to a Taylor series
effects. The Taylor series can be used for approximating the response of a nonlinear system to a given input if the output of the system depends strictly on
Volterra_series
Mechanical model that exhibits chaotic dynamics
1960s. As a pedagogic tool, the Malkus waterwheel became a paradigmatic realization of a chaotic system, and is widely used in the teaching of chaos theory
Malkus_waterwheel
Equation in statistical mechanics
480 (1981) Kawasaki, K.; Gunton, J.D. (1973), "Theory of Nonlinear Transport Processes: Nonlinear Shear Viscosity and Normal Stress Effects", Phys. Rev.
Jarzynski_equality
Near-field diffraction effect
|^{2}\psi =0} , nonlinear Talbot effect of rogue waves is observed numerically. The nonlinear Talbot effect was also realized in linear, nonlinear and highly
Talbot_effect
Covariance and correlation
between the input and output of a system with nonlinear dynamics can be completely blind to certain nonlinear effects. This problem arises because some quadratic
Cross-correlation
Statistical methods to build mathematical models of dynamical systems from measured data
linear terms if the system under study is linear, and nonlinear terms if the system is nonlinear, which allows a great deal of flexibility in the identification
System_identification
Superconducting circuit element
Josephson junction is a nonlinear, dissipationless circuit element that uses the Josephson effect in superconductors to form a nonlinear inductor. It consists
Josephson_junction
Parametric oscillator that oscillates at optical frequencies
i {\displaystyle \omega _{s},\omega _{i}} ) by means of second-order nonlinear optical interaction. The sum of the output waves' frequencies is equal
Optical_parametric_oscillator
2006 young adult novel by John Green
striving to be unique, but with Lindsey's help, ends up coming to the realization that he is "not-unique in the very best way possible." Hassan Harbish
An_Abundance_of_Katherines
Signal representation used in automatic speech recognition
sound, based on a linear cosine transform of a log power spectrum on a nonlinear mel scale of frequency. Mel-frequency cepstral coefficients (MFCCs) are
Mel-frequency_cepstrum
Literary element
refer to the development, or to a beginning of an action related to self-realization. The third section is based around a turning point, change in direction
Story_structure
Numerical model of nonlinear optical systems
The numerical models of lasers and the most of nonlinear optical systems stem from Maxwell–Bloch equations (MBE). This full set of Partial Differential
Lugiato–Lefever_equation
Project in integrated circuit design
The OpenROAD Project (Open Realization of Autonomous Design) is a major open-source project that aims to provide a fully automated, end-to-end digital
OpenROAD_Project
Branch of statistics mathematics
Direct nonlinear extensions of the classical functional linear regression models (FLMs) still involve a linear predictor, but combine it with a nonlinear link
Functional_data_analysis
Device for suppressing part of a discretely-sampled signal
filter is a linear transformation of input samples; other filters are nonlinear. Linear filters satisfy the superposition principle, i.e. if an input
Digital_filter
Concept in sociolinguistics
of linguistic variation and whether or not class could be related to realizations of certain linguistic variables. One of the observed variables was the
Curvilinear_principle
Type of telecommunications engineering
process, encompassing topological design, network-synthesis, and network-realization, and is aimed at ensuring that a new telecommunications network or service
Network_planning_and_design
Altered book by Tom Phillips
Mallock's original text. From being created over many decades, it follows a nonlinear narrative, and in recent editions Phillips has rewritten pages to include
A_Humument
Finite element analysis software
Eigenvalue 111 - Modal Frequency Response 112 - Modal Transient Response 129 - Nonlinear Transient 144 - Static Aeroelastic Analysis 145 - Flutter / Aeroservoelastic
Nastran
Rotation of the plane of linearly polarized light as it travels through a chiral material
large linear optical activity in transmission and reflection, as well as nonlinear optical activity exceeding that of lithium iodate by 30 million times
Optical_rotation
Analysis and synthesis of electronic circuits
on the inputs, can be analyzed by hand using complex analysis. Simple nonlinear circuits can also be analyzed in this way. Specialized software has been
Electronic_circuit_design
Chinese science award
of backward stochastic differential equations, nonlinear Feynman-Kac formula, and the theory of nonlinear expectations." 2021 Simon Sze National Yang Ming
Future_Science_Prize
Type of topological solutions in non-linear sigma models
theory, skyrmions are homotopically non-trivial classical solutions of a nonlinear sigma model with a non-trivial target manifold topology – hence, they
Skyrmion
Technique in mathematical modeling
(Empirical) cross Gramian Krylov subspace methods Nonlinear and manifold model reduction methods derive nonlinear approximations on manifolds and so can achieve
Model_order_reduction
Probabilistic optimal control
observations of the controllers. Any deviation from the above assumptions—a nonlinear state equation, a non-quadratic objective function, noise in the multiplicative
Stochastic_control
Noninvasive type of medical imaging
the GNU GPL license. A matlab implementation of the direct nonlinear D-bar method for nonlinear EIT reconstruction is available. The Open Innovation EIT
Electrical impedance tomography
Electrical_impedance_tomography
Statistical test for causality
Deyle, Ethan R.; Sugihara, George (2011). "Generalized Theorems for Nonlinear State Space Reconstruction". PLOS ONE. 6 (3) e18295. Bibcode:2011PLoSO
Convergent_cross_mapping
Security analysis methodology
Report No. 2004-04 G. Caginalp and M. DeSantis, "Nonlinearity in the dynamics of financial markets," Nonlinear Analysis: Real World Applications, 12(2), 1140–1151
Technical_analysis
Series of novels by Robert Shea and Robert Anton Wilson
narrative often switches between third- and first-person perspectives in a nonlinear narrative. It is thematically dense, covering topics like counterculture
The_Illuminatus!_Trilogy
1998 film by Brad Silberling
relationships, experiences and feelings are what make them meaningful". Seth's realization is followed by the concluding scene in which he dives into the ocean
City_of_Angels_(film)
2010 dark fantasy novel by Joe Hill
fiction, and Gothic fiction. It employs the third-person omniscient, nonlinear narrative in telling the story of Ig Perrish, who—in the aftermath of
Horns_(novel)
theory and implementation of numerical algorithms optimal control and nonlinear programming." 1977 Walter Murray Wonham "For contributions to multivariable
List of fellows of IEEE Control Systems Society
List_of_fellows_of_IEEE_Control_Systems_Society
Ukrainian-British engineer (born 1966)
pioneering contributions to the fundamental physics and nonlinear optics, enabling the realization of high capacity, broad bandwidth, multi-wavelength, optical
Polina_Bayvel
corresponding refractive index. This effect is caused by two factors Nonlinear atom-field interaction Feedback effect of mirror Important cases that
Optical_bistability
Hypothesis about quantum and statistical mechanics
S2CID 250793219. Kaplan, L.; Heller, E. J. (April 10, 1998). "Linear and Nonlinear Theory of Eigenfunction Scars". Annals of Physics. 264 (2): 171–206.
Eigenstate thermalization hypothesis
Eigenstate_thermalization_hypothesis
Necessary condition for optimality associated with dynamic programming
Abu-Khalaf, Murad; Lewis, Frank L. (2005). "Nearly optimal control laws for nonlinear systems with saturating actuators using a neural network HJB approach"
Bellman_equation
Superconducting quantum computing (qubit implemented by the state of nonlinear resonant superconducting circuits containing Josephson junctions) Trapped
List of proposed quantum registers
List_of_proposed_quantum_registers
Quantum-mechanical many-body entangled state
PMID 17478715. S2CID 14597941. Sanders, Barry C. (1989). "Quantum dynamics of the nonlinear rotator and the effects of continual spin measurement" (PDF). Physical
NOON_state
introduced by Yang and colleagues in 2016. MSPC can be used to quantify nonlinear phase coupling between a set of base frequencies and their harmonic/intermodulation
Multi-spectral phase coherence
Multi-spectral_phase_coherence
Secure speech system
levels, with values from 0 through 5. The amplitude levels were on a nonlinear scale, with the steps between levels wide at high amplitudes and narrower
SIGSALY
Italian electrical engineer
ultrathin optical devices based on engineered materials for linear and nonlinear optics. Alù is a Fellow of the National Academy of Inventors, American
Andrea_Alù
Method to analyze non-binary inputs
fuzzy-control systems. These systems can be employed to control complex, nonlinear dynamic plants, for example, human body. The input variables in a fuzzy
Fuzzy_control_system
Regression for more than two discrete outcomes
{\displaystyle i=1,\dots ,n} of the explained variables are considered as realizations of stochastically independent, categorically distributed random variables
Multinomial logistic regression
Multinomial_logistic_regression
Materials engineered to have properties that have not yet been found in nature
some form of nonlinear media, whose properties change with the power of the incident wave. Nonlinear media are essential for nonlinear optics. Most optical
Metamaterial
Filmmaking style of Christopher Nolan
elements, temporal shifts, elliptical cutting, solipsistic perspectives, nonlinear storytelling, labyrinthine plots, genre hybridity, and the merging of
Cinematic style of Christopher Nolan
Cinematic_style_of_Christopher_Nolan
Sub-discipline of electrical engineering
equation of LTI control systems. Linearization of Nonlinear dynamical systems with state-space realizations in both frequency and time domains. Fundamental
Electronics_engineering
Quantum optical phenomenon
quantum optical phenomenon in which the presence of a single photon in a nonlinear optical system suppresses the absorption or transmission of additional
Photon_blockade
Interferometry technique
Cunjin; Zhou, Zhifan; Ou, Z. Y.; Zhang, Weiping (4 July 2011). "Realization of a nonlinear interferometer with parametric amplifiers". Applied Physics Letters
SU(1,1)_interferometry
Property of a dynamical system where solutions near an equilibrium point remain so
endeavors to develop a global approach to the analysis of the stability of nonlinear dynamical systems by comparison with the widely spread local method of
Lyapunov_stability
being as described above. However, it has since been extended to weakly nonlinear systems, time varying systems, distributed parameter systems, multi-input
Quantitative_feedback_theory
2016 video game
the player can opt not to use these abilities at all. Due to the game's nonlinear gameplay, there are a multitude of ways to complete missions, from non-lethal
Dishonored_2
Mathematical data production model with limited structure
values in A determined in this manner need to be substituted into the nonlinear model to assess improvements in the model errors. The absence of a significant
Grey_box_model
Imaging technique
Conductivity Reconstruction in Magnetic Induction Tomography Using a Nonlinear Method" (PDF). IEEE Trans Med Imaging. 25 (12): 1521–1530. doi:10.1109/TMI
Magnetic_induction_tomography
Sequence of data points over time
from linear models, as for example in nonlinear autoregressive exogenous models. Further references on nonlinear time series analysis: (Kantz and Schreiber)
Time_series
Argentine American mathematician
Networks, Neural Computing Surveys, Control-Theory and Advanced Technology, Nonlinear Analysis: Hybrid Systems, and Control, Optimization and the Calculus of
Eduardo_D._Sontag
Quickly growing function
and programming. Wiernik, Ady; Sharir, Micha (1988). "Planar realizations of nonlinear Davenport–Schinzel sequences by segments". Discrete & Computational
Ackermann_function
Process in quantum computing
(2019-06-12). "Pair-cat codes: autonomous error-correction with low-order nonlinearity". Quantum Science and Technology. 4 (3): 035007. arXiv:1801.05897. Bibcode:2019QS&T
Quantum_error_correction
artificial-lattice structured materials, termed metamaterials, has led to the realization of phenomena that cannot be obtained with natural materials. This is
Terahertz_metamaterial
1983 film by Bob Fosse
mother. Working under the delusion that he is Dorothy's only path to realization, Paul attempts to run her life, uncovering a possessive streak in the
Star_80
Statistical method for handling multiple comparisons
{\displaystyle Q'={\frac {E[V]}{R}}} . This is a mixture of expectations and realizations, and has the problem of control for m 0 = m {\displaystyle m_{0}=m}
False_discovery_rate
Quality of an individual or group influencing or guiding others
Dean K. (1985). "Intelligence and personal influence in groups: Four nonlinear models". Psychological Review. 92 (4): 532–547. doi:10.1037/0033-295x
Leadership
Computer that uses photons or light waves
components of the computer's central processing unit (CPU). These will be nonlinear optical crystals used to manipulate light beams into controlling other
Optical_computing
2015 Indian film by Imtiaz Ali
9-year-old child, a 19-year-old adolescent and a 30-year-old adult in a nonlinear narrative. Tamasha was released on 27 November 2015 to mixed reviews from
Tamasha_(2015_film)
Quantum variations of random walks
Childs, L. J. Schulman, and U. V. Vazirani, Quantum algorithms for hidden nonlinear structures, Proc. 48th IEEE Symposium on Foundations of Computer Science
Quantum_walk
Spanish theoretical physicist, author, and academic
1103/PhysRevB.69.020505. S2CID 119077666 – via APS. Sierra, Germán (1996). "The nonlinear sigma model and spin ladders". Journal of Physics A: Mathematical and
Germán_Sierra
Topics referred to by the same term
centrally symmetric partially ordered set with a unique origin symmetric realization up to linear transformations Linear pair of angles, two adjacent angles
Linear_(disambiguation)
American drama television series (2021–2022)
Coleman died during surgery. She notifies Joe, who is distraught over the realization that his bullet killed Coleman. 4 "Shooting Star" Chris Koch Simran Baidwan
Ordinary_Joe
for the Advancement of Science (1999) Predrag Cvitanović (Ph.D. 1973) – nonlinear dynamics theoretical physicist; fellow of the American Physical Society
List of Cornell University alumni (natural sciences)
List_of_Cornell_University_alumni_(natural_sciences)
Concept in statistical mechanics
1975-1976 Feigenbaum, M. J. (1983). "Universal behavior in nonlinear systems". Physica D: Nonlinear Phenomena. 7 (1–3): 16–39. Bibcode:1983PhyD....7...16F
Universality (dynamical systems)
Universality_(dynamical_systems)
(Kyiv). V. A. Varyuhin, S. A. Kas'yanyuk, “On a certain method for solving nonlinear systems of a special type”, Zh. Vychisl. Mat. Mat. Fiz., 6:2 (1966), 347–352;
Vladimir_Varyukhin
2015 novel by Hanya Yanagihara
descriptions of how Jude does it and how he feels while doing so. Harold's realization is excruciatingly painful[clarification needed], more so than the news
A_Little_Life
Stable type of wave in physics
solutions have been reported within a quantum mechanical framework in optics. Nonlinear X-wave Droplet-shaped wave Bowlan, Pamela; Valtna-Lukner, Heli; et al
X-wave
Israeli physicist (1952–2015)
Langer, J. S., Schon, G., Physica D (1984) ^"Pattern Propagation in Nonlinear Dissipative Systems". Ben-Jacob, E., Brand, H., Dee, G., Kramer, L., Langer
Eshel_Ben-Jacob
Method of interpolation
of which only one realization is known – the set z ( x i ) {\displaystyle z(x_{i})} of observed data. With only one realization of each random variable
Kriging
Novel by Hiroko Oyamada
they briefly compare experiences at the factory. Furufue comes to the realization that he has had no lasting impact on the factory and that his job has
The_Factory_(novel)
Stock character whose flaws cause their downfall
injuries that ultimately lead to their misfortune, often followed by tragic realization of the true nature of events that led to this destiny. This means the
Tragic_hero
NONLINEAR REALIZATION
NONLINEAR REALIZATION
Boy/Male
Hindu
The scriptures, Vedic method of self realization, Knower of the Vedas, One who knows all, Hindu philosophy or ultimate wisdom, King of all
Boy/Male
Tamil
The scriptures, Vedic method of self realization, Knower of the Vedas, One who knows all, Hindu philosophy or ultimate wisdom, King of all
Boy/Male
Hindu
The scriptures, Vedic method of self realization, Knower of the Vedas, One who knows all, Hindu philosophy or ultimate wisdom, King of all
Girl/Female
Tamil
Samaarasya | ஸமாராஸà¯à®¯à®¾
Where all things become one in a unity of blissful realization
Samaarasya | ஸமாராஸà¯à®¯à®¾
Boy/Male
Hindu
The scriptures, Vedic method of self realization, Knower of the Vedas, One who knows all, Hindu philosophy or ultimate wisdom, King of all
Boy/Male
Tamil
Thirugnanam | தீரà¯à®•à¯à®¨à®¾à®¨à®®
Wise, Knowledgeable, Attained realization
Thirugnanam | தீரà¯à®•à¯à®¨à®¾à®¨à®®
Girl/Female
Tamil
Prachiti | பà¯à®°à®šà¯€à®¤à¯€
Experience & realization
Prachiti | பà¯à®°à®šà¯€à®¤à¯€
Boy/Male
Hindu
Wise, Knowledgeable, Attained realization
Boy/Male
Hindu
The scriptures, Vedic method of self realization, Knower of the Vedas, One who knows all, Hindu philosophy or ultimate wisdom, King of all
Boy/Male
Hindu
The scriptures, Vedic method of self realization, Knower of the Vedas, One who knows all, Hindu philosophy or ultimate wisdom, King of all
Girl/Female
Hindu
Experience & realization
Boy/Male
Tamil
Thiru Murugan | திர௠மà¯à®°à¯à®•à®¨
Wise, Knowledgeable, Attained realization
Thiru Murugan | திர௠மà¯à®°à¯à®•à®¨
Boy/Male
Tamil
The scriptures, Vedic method of self realization, Knower of the Vedas, One who knows all, Hindu philosophy or ultimate wisdom, King of all
Boy/Male
Hindu
The scriptures, Vedic method of self realization, Knower of the Vedas, One who knows all, Hindu philosophy or ultimate wisdom, King of all
Boy/Male
Tamil
The scriptures, Vedic method of self realization, Knower of the Vedas, One who knows all, Hindu philosophy or ultimate wisdom, King of all
Boy/Male
Tamil
The scriptures, Vedic method of self realization, Knower of the Vedas, One who knows all, Hindu philosophy or ultimate wisdom, King of all
Boy/Male
Tamil
The scriptures, Vedic method of self realization, Knower of the Vedas, One who knows all, Hindu philosophy or ultimate wisdom, King of all
Boy/Male
Hindu
The scriptures, Vedic method of self realization, Knower of the Vedas, One who knows all, Hindu philosophy or ultimate wisdom, King of all
Boy/Male
Tamil
The scriptures, Vedic method of self realization, Knower of the Vedas, One who knows all, Hindu philosophy or ultimate wisdom, King of all
Boy/Male
Tamil
Vedhanth | வேதாநà¯à®¤
The scriptures, Vedic method of self realization, Knower of the Vedas, One who knows all, Hindu philosophy or ultimate wisdom, King of all
NONLINEAR REALIZATION
NONLINEAR REALIZATION
Boy/Male
Australian, French, German, Greek, Italian, Latin, Swiss
Form of George; Farmer; Earth Worker
Girl/Female
Tamil
Gaganadipika | ககநதீபிகா
The lamp of the Sky
Boy/Male
Latin American Anglo Saxon French English
Red haired.
Girl/Female
Biblical
City of those who watch.
Girl/Female
Tamil
Lakshmi, The Goddess of wealth, Memorable, Celebrated
Boy/Male
Indian
Person sitting at a high place
Boy/Male
Hindu, Indian
Good Person
Surname or Lastname
English (mainly Nottinghamshire)
English (mainly Nottinghamshire) : habitational name from any of various places, for example in Nottinghamshire, Bedfordshire, Norfolk, Shropshire, and Staffordshire, which are named from Old English scylf ‘shelf’ + tūn ‘enclosure’, ‘settlement’.
Boy/Male
Indian, Sanskrit
Beneficial
Boy/Male
Welsh
Lame.
NONLINEAR REALIZATION
NONLINEAR REALIZATION
NONLINEAR REALIZATION
NONLINEAR REALIZATION
NONLINEAR REALIZATION
n.
The realization of an inventive or decorative plan; esp., a work of decorative art considered as a new creation; conception or plan shown in completed work; as, this carved panel is a fine design, or of a fine design.
n.
The act of realizing, or the state of being realized.
n.
Execution; performance; realization; operation; as, the law goes into effect in May.
n.
State of being complete; fulfillment; accomplishment; realization.