Academic literature on the topic 'Weakly (strongly) almost periodic'

Create a spot-on reference in APA, MLA, Chicago, Harvard, and other styles

Select a source type:

Consult the lists of relevant articles, books, theses, conference reports, and other scholarly sources on the topic 'Weakly (strongly) almost periodic.'

Next to every source in the list of references, there is an 'Add to bibliography' button. Press on it, and we will generate automatically the bibliographic reference to the chosen work in the citation style you need: APA, MLA, Harvard, Chicago, Vancouver, etc.

You can also download the full text of the academic publication as pdf and read online its abstract whenever available in the metadata.

Journal articles on the topic "Weakly (strongly) almost periodic"

1

Rao, Aribindi Satyanarayan. "On annth-order infinitesimal generator and time-dependent operator differential equation with a strongly almost periodic solution." International Journal of Mathematics and Mathematical Sciences 32, no. 9 (2002): 573–78. http://dx.doi.org/10.1155/s0161171202108295.

Full text
Abstract:
In a Banach space, ifuis a Stepanov almost periodic solution of a certainnth-order infinitesimal generator and time-dependent operator differential equation with a Stepanov almost periodic forcing function, thenu,u′,…,u (n−2)are all strongly almost periodic andu (n−1)is weakly almost periodic.
APA, Harvard, Vancouver, ISO, and other styles
2

Ghaffari, Ali. "Strongly and weakly almost periodic linear maps on semigroup algebras." Semigroup Forum 76, no. 1 (2007): 95–106. http://dx.doi.org/10.1007/s00233-007-9001-0.

Full text
APA, Harvard, Vancouver, ISO, and other styles
3

A.M., Aminpour, and Seilani Mehrdad. "AMENABILITY OF ap (S)." Journal of Academic and Applied Studies 3, no. 10 (2013): 46. https://doi.org/10.5281/zenodo.1059046.

Full text
Abstract:
In this paper, we present an important new theorem for amenability of ap(S). The set of all almost periodic functions on S is denoted by ap(S). We develop the fundamental theory of almost periodic function on a general semitopological semigroup. The principal result is that ap(S) is amenable if and only if ap(S) = Sap(S) ⊕ F0 [Theorem 3.1]. Mathematical society classification:2010 MSC. 18340
APA, Harvard, Vancouver, ISO, and other styles
4

Yin, Jiandong, and Zuoling Zhou. "Weakly Almost Periodic Points and Some Chaotic Properties of Dynamical Systems." International Journal of Bifurcation and Chaos 25, no. 09 (2015): 1550115. http://dx.doi.org/10.1142/s0218127415501151.

Full text
Abstract:
Let X be a compact metric space and f : X → X be a continuous map. In this paper, ergodic chaos and strongly ergodic chaos are introduced, and it is proven that f is strongly ergodically chaotic if f is transitive but not minimal and has a full measure center. In addition, some sufficient conditions for f to be Ruelle–Takens chaotic are presented. For instance, we prove that f is Ruelle–Takens chaotic if f is transitive and there exists a countable base [Formula: see text] of X such that for each i > 0, the meeting time set N(Ui, Ui) for Ui with respect to itself has lower density larger th
APA, Harvard, Vancouver, ISO, and other styles
5

Jiang, Jie, Lidong Wang, and Yingcui Zhao. "The d-Shadowing Property and Average Shadowing Property for Iterated Function Systems." Complexity 2020 (April 29, 2020): 1–9. http://dx.doi.org/10.1155/2020/4374508.

Full text
Abstract:
In this paper, we introduce the definitions of d¯-shadowing property, d¯-shadowing property, topological ergodicity, and strong ergodicity of iterated function systems IFSf0,f1. Then, we show the following: 1 if IFSf0,f1 has the d¯-shadowing property (respectively, d¯-shadowing property), then ℱk has the d¯-shadowing property (respectively, d¯-shadowing property) for any k∈Z+; 2 if ℱk has the d¯-shadowing property (respectively, d¯-shadowing property) for some k∈Z+, then IFSf0,f1 has the d¯-shadowing property (respectively, d¯-shadowing property); 3 if IFSf0,f1 has the d¯-shadowing property or
APA, Harvard, Vancouver, ISO, and other styles
6

Slunyaev, Alexey V., and Victor I. Shrira. "On the highest non-breaking wave in a group: fully nonlinear water wave breathers versus weakly nonlinear theory." Journal of Fluid Mechanics 735 (October 23, 2013): 203–48. http://dx.doi.org/10.1017/jfm.2013.498.

Full text
Abstract:
AbstractIn nature, water waves usually propagate in groups and the open question about the characteristics of the highest possible wave in a group is of significant theoretical and practical interest. We examine the problem of the highest non-breaking wave in a wave group by direct numerical simulations of the exact Euler equations. The main aim of the study is twofold: (i) to describe the highest wave in a group in fully nonlinear setting and find its dependence on parameters; (ii) to examine correspondence between the exact breather solutions of weakly nonlinear analytic theory based on the
APA, Harvard, Vancouver, ISO, and other styles
7

Osborne, Alfred R. "Nonlinear Fourier Analysis: Rogue Waves in Numerical Modeling and Data Analysis." Journal of Marine Science and Engineering 8, no. 12 (2020): 1005. http://dx.doi.org/10.3390/jmse8121005.

Full text
Abstract:
Nonlinear Fourier Analysis (NLFA) as developed herein begins with the nonlinear Schrödinger equation in two-space and one-time dimensions (the 2+1 NLS equation). The integrability of the simpler nonlinear Schrödinger equation in one-space and one-time dimensions (1+1 NLS) is an important tool in this analysis. We demonstrate that small-time asymptotic spectral solutions of the 2+1 NLS equation can be constructed as the nonlinear superposition of many 1+1 NLS equations, each corresponding to a particular radial direction in the directional spectrum of the waves. The radial 1+1 NLS equations int
APA, Harvard, Vancouver, ISO, and other styles
8

Ellis, R., and M. Nerurkar. "Weakly almost periodic flows." Transactions of the American Mathematical Society 313, no. 1 (1989): 103. http://dx.doi.org/10.1090/s0002-9947-1989-0930084-3.

Full text
APA, Harvard, Vancouver, ISO, and other styles
9

Ruppert, W. A. F. "On weakly almost periodic sets." Semigroup Forum 32, no. 1 (1985): 267–81. http://dx.doi.org/10.1007/bf02575544.

Full text
APA, Harvard, Vancouver, ISO, and other styles
10

Lenz, Daniel, and Nicolae Strungaru. "On weakly almost periodic measures." Transactions of the American Mathematical Society 371, no. 10 (2019): 6843–81. http://dx.doi.org/10.1090/tran/7422.

Full text
APA, Harvard, Vancouver, ISO, and other styles
More sources

Dissertations / Theses on the topic "Weakly (strongly) almost periodic"

1

Bordbar, Behzad. "Weakly almost periodic functions on some discrete groups." Thesis, University of Sheffield, 1996. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.389669.

Full text
APA, Harvard, Vancouver, ISO, and other styles

Books on the topic "Weakly (strongly) almost periodic"

1

Hofmann, K. H., and J. F. Berglund. Compact Semitopological Semigroups and Weakly Almost Periodic Functions. Springer London, Limited, 2006.

Find full text
APA, Harvard, Vancouver, ISO, and other styles

Book chapters on the topic "Weakly (strongly) almost periodic"

1

Maruyama, Toru. "Almost Periodic Functions and Weakly Stationary Stochastic Processes." In Monographs in Mathematical Economics. Springer Singapore, 2018. http://dx.doi.org/10.1007/978-981-13-2730-8_9.

Full text
APA, Harvard, Vancouver, ISO, and other styles
2

Crul, Maurice. "Epilogue: Where Did Weak and Strong Ties Go Wrong?" In IMISCOE Research Series. Springer International Publishing, 2022. http://dx.doi.org/10.1007/978-3-030-94972-3_11.

Full text
Abstract:
AbstractIn this volume, both qualitative and quantitative scholars describe their findings on the networks of migrants and their descendants and explore the content of their social ties for educational and labor market success in seven European countries. Some contributions cover decades of work in this field, making this one of most comprehensive books on this topic, both theoretically and empirically. Almost without exception, the authors, although describing various ethnic groups, different geographical and professional contexts and different time periods, are critical of a number of the ma
APA, Harvard, Vancouver, ISO, and other styles
3

Bei, Caixia, and Zhanjiang Ji. "The Research of G-Almost Periodic Point." In Advances in Transdisciplinary Engineering. IOS Press, 2022. http://dx.doi.org/10.3233/atde220523.

Full text
Abstract:
Firstly, it is introduced that the concepts of G-almost periodic point and G-sequence shadowing property. Then, we discuss the dynamical relationship between sequence map {gk}∞k=1 and limit map g under G-strongly uniform convergence of topological group action. We can get that (1) Let sequence map {gk}∞k=1 be G-strongly uniform converge to the map g where g is equicontinuous and the point sequence {yk}∞k=1 be the G-almost periodic point of sequence map {gk}∞k=1. If limk → ∞ yk = y, then the point y is an G-almost periodic point of the map g; (2) If sequence map {gk}∞k=1 are G-strongly uniform
APA, Harvard, Vancouver, ISO, and other styles
4

Gulistan, Muhammad, and Rashid Ullah. "Regular and Intra-Regular Neutrosophic Left Almost Semihypergroups." In Handbook of Research on Emerging Applications of Fuzzy Algebraic Structures. IGI Global, 2020. http://dx.doi.org/10.4018/978-1-7998-0190-0.ch017.

Full text
Abstract:
In this chapter, the authors characterized regular and intra-regular neutrosophic LA-semihypergroups by giving some examples with different neutrosophic identities and prove a various important result about it with the help of different neutrosophic identities. The aim in this chapter is to characterize the idea of regular and intra-regular neutrosophic LA-semihypergroups, (weakly, strongly, completely) regular neutrosophic LA-semihypergroups using neutrosophuic sets. They also define different substructures of regular neutrosophic LA-semihypergroup namely (weakly, left, right, strongly, compl
APA, Harvard, Vancouver, ISO, and other styles
5

Bei, Caixia, and Zhanjiang Ji. "Topological Structure of QWG(f) Set." In Advances in Transdisciplinary Engineering. IOS Press, 2022. http://dx.doi.org/10.3233/atde220527.

Full text
Abstract:
According to the definition of quasiweak almost periodic point, we introduce the definition of QWG(f) in the paper. We studied topological structure of G-quasiweak almost periodic point set. We have the following two results: (1) Let (Y,d′) be a compact G–metric space and f : X → X be equicontinuous. Let {fn}∞n=1 be G-strongly uniform converge to the map f and xk ∈ QWG(fn). If limk → ∞ xk = x, then x ∈ QWG(f); (2) Let (Y,d′) be a compact G-metric space and f : X → X be equicontinuous. If {fn}∞n=1 is G-strongly uniform converge to f, then we have lim sup QWG(fn) ⊂ QWG(f). The conclusions result
APA, Harvard, Vancouver, ISO, and other styles
6

Kelly, S. B., and J. M. Cubitt. "Milankovitch Cyclicity In The Stratigraphic Record— A Review." In Computers in Geology - 25 Years of Progress. Oxford University Press, 1994. http://dx.doi.org/10.1093/oso/9780195085938.003.0016.

Full text
Abstract:
The Milankovitch or astronomical theory of paleoclimates relates climatic variation to the amount of solar energy available at the Earth's surface. The theory helps explain periodic, climatically related phenomena such as the Pleistocene ice ages. Identification of Milankovitch cyclicity within sediments demonstrates the influence of climate on sedimentation patterns and creates a time frame for the estimation of basin subsidence rates. Spectral analysis of deep sea and ice cores indicates periodic climatic fluctuations during Tertiary and Quaternary times. These fluctuations are strongly cycl
APA, Harvard, Vancouver, ISO, and other styles
7

Westwood, J. N. "Zeal conquers all." In Endurance and Endeavour. Oxford University PressOxford, 2002. http://dx.doi.org/10.1093/oso/9780199246175.003.0002.

Full text
Abstract:
Abstract The three decades of Nicholas’s rule came to be regarded as a particularly dark period of Russian history. But even at its worst, in the last seven years of his life, most Russians accepted his way of doing things as quite appropriate for Russia. Strong tsars had always been preferred to weak tsars, and the state of the Empire was such that intensification of the autocratic system seemed just as viable a way forward as any other. But Nicholas, despite an almost maniacal attachment to the idea of duty and zeal, was only human; he insisted on having a finger in every pie but had only te
APA, Harvard, Vancouver, ISO, and other styles
8

Glazier, Douglas S. "Clutch Mass, Offspring Mass, and Clutch Size: Body Mass Scaling and Taxonomic and Environmental Variation." In Life Histories. Oxford University Press, 2018. http://dx.doi.org/10.1093/oso/9780190620271.003.0003.

Full text
Abstract:
In this chapter, I show how clutch mass, offspring (egg) mass, and clutch size relate to body mass among species of branchiopod, maxillipod, and malacostracan crustaceans, as well as how these important life history traits vary among major taxa and environments independently of body size. Clutch mass relates strongly and nearly isometrically to body mass, probably because of physical volumetric constraints. By contrast, egg mass and clutch size relate more weakly and curvilinearly to body mass and vary in inverse proportion to one another, thus indicating a fundamental trade-off, which occurs
APA, Harvard, Vancouver, ISO, and other styles
9

Ram-Mohan, L. Ramdas. "Schrodinger-Poisson self-consistency." In Finite Element and Boundary Element Applications in Quantum Mechanics. Oxford University PressOxford, 2002. http://dx.doi.org/10.1093/oso/9780198525219.003.0006.

Full text
Abstract:
Abstract In Group IV bulk semiconductors such as Si, it is possible to replace some of the atoms in the lattice by impurity atoms belonging to group V of the periodic table, such as P. The group V impurity atom has an additional electron which is not used in the covalent bonding in the crystal. Due to the effective dielectric constant of the host and its reduced effective mass the electron is weakly bound to the impurity atom forming a hydrogenic structure. In III---V compound semiconductors such as GaAs an analogous impurity doping can be accomplished by using Si which replaces a Ga atom in t
APA, Harvard, Vancouver, ISO, and other styles
10

Honda, Takashi, and Yukiko Iwata. "Markov operators on a Banach lattice and their applications." In Markov Model [Working Title]. IntechOpen, 2023. http://dx.doi.org/10.5772/intechopen.1001136.

Full text
Abstract:
We shall consider a random dynamical system. Let $S:\Real \to \Real$ be a dynamical system and define a stochastic process $\{X_n\}_{n\geq 0}$ by $X_{n+1}=S(X_n)+Y_n$, where $Y_0, Y_1, \cdots$ are independent random variables with values in $\Real$ each having the same density $g$, and $X_0$ and $\{Y_n\}_{n\geq 0}$ are independent. Then the stochastic process $\{X_n\}$ is a Markov process. Let $f_n$ be the density function of $X_n$ for each $n\geq 0$, and hence we have $f_{n+1}(x)=\int_{\Real} f_{n}(y)g(x-S(y))\mu(dy)$, where $\mu$ is the Lebesgue measure on $\Real$. This equation means that e
APA, Harvard, Vancouver, ISO, and other styles

Conference papers on the topic "Weakly (strongly) almost periodic"

1

Vakakis, Alexander. "Nonlinear Periodic Systems: Bands and Localization." In ASME 2009 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. ASMEDC, 2009. http://dx.doi.org/10.1115/detc2009-87315.

Full text
Abstract:
We consider the dynamics of nonlinear mono-coupled periodic media. When coupling dominates over nonlinearity near-field standing waves and spatially extended traveling waves exist, inside stop and pass bands, respectively, of the nonlinear system. Nonlinear standing waves are analytically studied using a nonlinear normal mode formulation, whereas nonlinear traveling waves are analyzed by the method of multiple scales. When the nonlinear effects are of the same order with the coupling ones a completely different picture emerges, since nonlinear resonance interactions are unavoidable. As a resul
APA, Harvard, Vancouver, ISO, and other styles
2

King, Melvin E., Johannes Aubrecht, and Alexander F. Vakakis. "Experimental Periodic Localized Motions in Coupled Beams With Active Nonlinearities." In ASME 1995 Design Engineering Technical Conferences collocated with the ASME 1995 15th International Computers in Engineering Conference and the ASME 1995 9th Annual Engineering Database Symposium. American Society of Mechanical Engineers, 1995. http://dx.doi.org/10.1115/detc1995-0309.

Full text
Abstract:
Abstract Steady-state nonlinear motion confinement is experimentally studied in a system of weakly coupled cantilever beams with active stiffness nonlinearities. Quasi-static swept-sine tests are performed by periodically forcing one of the beams at frequencies close to the first two closely-spaced modes of the coupled system, and experimental nonlinear frequency response curves for certain nonlinearity levels are generated. Of particular interest is the detection of strongly localized steady-state motions, wherein vibrational energy becomes spatially confined mainly to the directly excited be
APA, Harvard, Vancouver, ISO, and other styles
3

Tu, K. Y., and T. Tamir. "Wave diffraction by superposed gratings in the strongly scattering regime." In OSA Annual Meeting. Optica Publishing Group, 1991. http://dx.doi.org/10.1364/oam.1991.my9.

Full text
Abstract:
Volume holographic applications, such as high- capacity optical interconnects, involve media whose dielectric properties are modulated by multiple periodic variations which are viewed as many gratings superposed inside a single volume. To treat the corresponding electromagnetic problems, we have recently developed1 a multiple-scattering approach that uses a flow-graph representation of the scattered fields. This approach leads to very fast calculations of the relevant diffracted orders, but its application was restricted to obtaining transmitted fields in the presence of small-amplitude modula
APA, Harvard, Vancouver, ISO, and other styles
4

Vakakis, Alexander F., and Richard H. Rand. "Nonlinear Dynamics of a System of Coupled Oscillators With Essential Stiffness Nonlinearities." In ASME 2003 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. ASMEDC, 2003. http://dx.doi.org/10.1115/detc2003/vib-48446.

Full text
Abstract:
We study the resonant dynamics of a two-degree-of-freedom system composed a linear oscillator weakly coupled to a strongly nonlinear one, with an essential (nonlinearizable) cubic stiffness nonlinearity. For the undamped system this leads to a series of internal resonances, depending on the level of (conserved) total energy of oscillation. We study in detail the 1:1 internal resonance, and show that the undamped system possesses stable and unstable synchronous periodic motions (nonlinear normal modes — NNMs), as well as, asynchronous periodic motions (elliptic orbits — EOs). Furthermore, we sh
APA, Harvard, Vancouver, ISO, and other styles
5

Okada, Koichi, Kozo Fujii, Koji Miyaji, Akira Oyama, Taku Nonomura, and Kengo Asada. "Computational Study of the Synthetic Jet on Separated Flow Over a Backward-Facing Step." In ASME 2010 International Mechanical Engineering Congress and Exposition. ASMEDC, 2010. http://dx.doi.org/10.1115/imece2010-38767.

Full text
Abstract:
Frequency effects of the synthetic jet on the flow field over a backward facing step are investigated using numerical analysis. Three-dimensional Navier-Stokes equations are solved. Implicit large-eddy simulation using high-order compact difference scheme is conducted. The present analysis is addressed on the frequency characteristics of the synthetic jet for understanding frequency characteristics and flow filed. Three cases are analyzed; the case computing flow over backward facing step without control, the case computing flow with synthetic jet control at F+h = 0.2, and the case computing f
APA, Harvard, Vancouver, ISO, and other styles
6

Okada, Koichi, Kozo Fujii, and Koji Miyaji. "Computational Study of Frequency and Amplitude Effects on Separation Flow Control With the Synthetic Jet." In ASME 2009 International Mechanical Engineering Congress and Exposition. ASMEDC, 2009. http://dx.doi.org/10.1115/imece2009-11218.

Full text
Abstract:
In order to investigate the frequency and amplitude effects of the synthetic jet on the flow field, numerical simulation is carried out. Even though the final objective of this study is to understand mechanism of separation control for various objects, streamline and bluff bodies, the configuration of backward-facing step is chosen as the first step because of the simplicity. Three-dimensional Navier-Stokes equations are solved. Implicit large eddy simulation using high-order compact difference scheme is applied. The present analysis is addressed on the frequency characteristics of the synthet
APA, Harvard, Vancouver, ISO, and other styles
7

Simens, Mark P., and Ayse G. Gungor. "Spanwise Spectra, Reynolds Stresses and Correlations From DNS of Turbine Like APG Boundary Layers." In ASME Turbo Expo 2016: Turbomachinery Technical Conference and Exposition. American Society of Mechanical Engineers, 2016. http://dx.doi.org/10.1115/gt2016-57906.

Full text
Abstract:
It is becoming more apparent that to be able to fully understand the adverse pressure gradient boundary flow in general or downstream of reattachment it is needed to understand the relation between the upstream flow structures and the downstream flow structures. In this work the results for three different direct numerical simulations (DNS) of adverse pressure gradient (APG) flows are presented. The three cases have the same overall characteristics with respect to the imposed APG and the Reynolds number Reδ099 at the inlet. However, the first case has no additional perturbations imposed, in th
APA, Harvard, Vancouver, ISO, and other styles
8

Arko, A. J. "High Resolution Photoelectron Spectroscopy: Emphasis on Actinides." In Free-Electron Laser Applications in the Ultraviolet. Optica Publishing Group, 1988. http://dx.doi.org/10.1364/fel.1988.wb1.

Full text
Abstract:
Photoelectron Spectroscopy (PES) covers a very broad range of measurements, disciplines, and interests. The present emphasis will be on actinide materials but the same arguments can apply to any part of the periodic table and indeed to other disciplines such as surface, atomic, and molecular studies. Almost the entire spectrum of PES measurements will benefit greatly from the development of the XUV-FEL. As the next generation light source, the FEL will result in improvements over the undulator that are larger than the undulater improvements over bending magnets. The combination of high flux an
APA, Harvard, Vancouver, ISO, and other styles
9

ČESONIENĖ, Laima, Daiva ŠILEIKIENĖ, and Laura EIGIRDAITĖ. "CHANGE OF ECOLOGIC FARM AREAS AND CULTIVATED CULTURES WITHIN THE TERRITORY OF LITHUANIA IN 2010–2014." In Rural Development 2015. Aleksandras Stulginskis University, 2015. http://dx.doi.org/10.15544/rd.2015.075.

Full text
Abstract:
Research objective is to evaluate the change of ecological farm areas and cultivated cultures within the territory of Lithuania within the period from 2010 to 2014. In 2010–2014 the data from certification institutions (databases) were used for the purpose of evaluation of change of ecological farm areas, which provide all ecological farm areas declared and certified in Lithuania within the whole reported period and agricultural plants cultivated on the areas within the set period. ArcGIS software was used for demonstration of layout of ecological farm areas within the territory of Lithuania.
APA, Harvard, Vancouver, ISO, and other styles
10

Silva, Tarcisio, David Tan, Carlos De Marqui, and Alper Erturk. "Suppression of Nonlinear Bifurcations in Flexible Structures Using Nonlinear Switching Shunt Damping Circuits." In ASME 2016 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. American Society of Mechanical Engineers, 2016. http://dx.doi.org/10.1115/detc2016-60572.

Full text
Abstract:
We explore the suppression of geometrically nonlinear vibrations of a flexible structure by using nonlinear switching shunt damping circuits, namely the Synchronized Switch Damping on Short (SSDS) circuit and the Synchronized Switch Damping on Inductor (SSDI) circuit. Following the early research on linear shunt circuits, the use of nonlinear switching shunts was explored for damping of linear resonance behavior of flexible structures in the early 2000s. However, such flexible structures can easily undergo undesired bifurcations and exhibit large-amplitude nonlinear oscillations that coexist w
APA, Harvard, Vancouver, ISO, and other styles

Reports on the topic "Weakly (strongly) almost periodic"

1

Lucas, Brian. Lessons Learned about Political Inclusion of Refugees. Institute of Development Studies, 2022. http://dx.doi.org/10.19088/k4d.2022.114.

Full text
Abstract:
Most refugees and other migrants have limited opportunities to participate in politics to inform and influence the policies that affect them daily; they have limited voting rights and generally lack effective alternative forms of representation such as consultative bodies (Solano & Huddleston, 2020a, p. 33). Political participation is ‘absent (or almost absent) from integration strategies’ in Eastern European countries, while refugees and other migrants in Western Europe do enjoy significant local voting rights, stronger consultative bodies, more funding for immigrant organisations and gre
APA, Harvard, Vancouver, ISO, and other styles
We offer discounts on all premium plans for authors whose works are included in thematic literature selections. Contact us to get a unique promo code!