For some technical analysts, finding CYCLES is syNONymous with market analysis. There is something comforting in the idea that markets, like many natural phenomena, have a regular ebb AND flow. These technicians believe that there are regular market CYCLES, hidden by noise or irregular perturbations that drive the market’s underlying clockwork mechanism. Such “CYCLES” have proven fickle to unwary investors. Sometimes they work, sometimes they do not. There are Statistical tests to find PERIODIC AND NON PERIODIC cycle, such as spectral analysis, wavelet analysis… that some of them find only correlated noise. But these methods could not prove their ability to find CYCLES. The search for CYCLES in the market AND in the economy has proven frustrating for all concerned. Strong method to analysis CYCLES is modified rescale range analysis that based on fractal analysis. The result of this research not only show that modified rescale rang analysis has enough ability to find PERIODIC AND NON PERIODIC CYCLES but also increasing data move us from local rANDomness to global determinism.

The term PERIODIC fever AND diseases classified under PERIODIC fever have particular situation in pediatrics. PERIODICity AND fever are the hallmark of these syndromes, though there could be other symptoms AND signs in each syndrome. On the other hAND, most of these syndromes have familial pattern. Since some of these syndromes are common in north-west Iran, the understANDing AND recognition of these diseases seems to be necessary. Nowadays at least seven PERIODIC fever syndromes have been explained in pediatrics: The first one is FMF AND the last AND new one is PFAPA. The rest of them are: Hyper IgD, FCAS, Muckel- Wells, CINCA, AND TRAPS.

The alternating current electroosmotic flow of a NON-Newtonian power-law fluid is studied in a circular microchannel. A numerical method is employed to solve the NON-linear Poisson-Boltzmann AND the momentum equations. The main parameters which affect the flow field are the flow behavior index, the dimensionless zeta potential AND the dimensionless frequency. At very low dimensionless frequencies (slow oscillatory motion, small channel size, or large effective viscosity), the plug-like velocity profiles similar to steady-state electroosmotic flow are observed at nearly all times. At very high dimensionless frequencies, the flow is shown to be restricted to a thin region near the channel wall, while the bulk fluid remains essentially stationary. Velocity distributions of pseudoplastics AND dilatants may be widened at low values of the dimensionless frequency depending on the dimensionless zeta potential; at high dimensionless frequencies, however, both fluids represent enhanced velocity magnitudes with the dimensionless zeta potential. In the case of high shear rate AND/or suddenly-started flows, pseudoplastics tend to produce higher velocities than dilatants. These two kinds of fluids may produce same velocity profiles relying on the value of the dimensionless zeta potential as well as the ratio of their flow behavior indexes.

Introduction: Many internal medicine conditions may be presented to pain centers AND an interdisciplinary AND holistic approach is necessary for optimal management.Case Description: A 46 year old man presented to the interdisciplinary pain clinic at Shefa Neuroscience Research Center complaining of PERIODIC weakness, pain AND tenderness in proximal lower extremities, anxiety, irritability AND weight loss since 3 months ago. On examination AND laboratory results, hyperthyroidism AND severe hypokalemia were evident. On echocardiography, ejection fraction was 25%. He was admitted in coronary care unit for cardiac monitoring AND received propranolol AND methimazole.Results: After stabilizing the heart rate AND correction of potassium level, paralysis was completely subsided AND ejection fraction increased to 55%. He was discharged from the hospital in good situation.Conclusion: Hyperthyroid hypokalemic PERIODIC paralysis is a rare but well-known condition with episodes of muscular weakness or paralysis. It can be diagnosed by good history taking, physical examination, AND laboratory evaluation. Appropriate therapy is necessary for treatment AND prevention of paralytic episodes. Although the prognosis is usually good, in case of misdiagnosis AND maltreatment this condition may be fatal.

In this paper, the third order differential equation X''' + y(X') X" + (k2+f (x))x' + ¦( t, x)=e(t) is considered. Under certain conditions on the functions appearing in the differential equation, the existence of PERIODIC solutions is proved. Similar problems have been treated by authors in [4,6,7]. However, the method employed here is used by Reissig [1] AND the results obtained are, in fact, a generalization of those in [1-3]. The conditions imposed on the NONlinear terms do not require the ultimate boundedness of all solutions.

We considered the following system of equations d2 x /dt2 = f(x,y) + e1(t) , d2y/dt2 = g(x,y) + e2 (t) with initial conditions x (0) = x (ω) , y (0) = y (ω) (2)where the functions e1(t) AND e2(t) are PERIODIC functions of t of period ω AND furthermore: ∫ω0 e1(t)dt = 0 , i =1, 2 We used the Schauders fixed point theorem as an operator from a compact subset K of Banach space B=C[0,C[0,ω]*c[0.ω]. to K. Then by applying a number of conditions on f AND g, AND the Green function method, it is shown that the system has a PERIODIC solution with period. Afterwards, we used arithmetic methods AND draw the graphs for solution of specific examples.  We used the Schauder’s fixed point theorem as an operator from a compact subset K of Banach space B=C[0,ω]×C[0,ω]×ℜ×ℜ to K. Then by applying a number of conditions on f AND g, AND the Green function method, it is shown that the system has a PERIODIC solution with period ω. Afterwards, we used arithmetic methods AND draw the graphs for solution of specific examples.

In this paper the wave equation in some NON-classic cases has been studied. In the first case boundary conditions are NON-local AND NON- PERIODIC. At that case the associated spectral problem is a self-adjoint problem AND consequently the eigenvalues are real. But in the second case the associated spectral problem is NON-self-adjoint AND consequently the eigenvalues are complex numbers, in which two cases, the solutions of the problem are constructed by the Fourier method. By compatibility conditions AND asymptotic expansions of the Fourier coefficients, the convergence of series solutions are proved.Finally, series solutions are established AND the uniqueness of the solution is proved by a special way which has not been used in classic texts.

Ultra-short pulse is a promising technology for achieving ultrahigh data rate transmission which is required to follow the increased demAND of data transport over an optical communication system. Therefore, the propagation of such type of pulses AND the effects that it may suffer during its transmission through an optical waveguide has received a great deal of attention in the recent years. We provide an overview of recent theoretical developments in a numerical modeling of Maxwell's equations to analyze the propagation of short laser pulses in photonic structures. The process of short light pulse propagation through 2D PERIODIC AND quasi-PERIODIC photonic structures is simulated based on Finite-Difference Time-Domain calculations of Maxwell’s equations.

Please click on PDF to view the abstract.