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  • | number = [[6]] ...ss completely symmetry. The higher dimensional, fractal, complex and super-complex space-time theory covering all might be constructed preliminarily. We propo
    2 KB (219 words) - 19:33, 1 January 2017
  • | keywords = [[simple harmonic oscillator]], [[complex coordinates]], [[Compton frequency]], [[Hermitian metric symmetry]], [[Herm | number = [[1]]
    1 KB (142 words) - 20:12, 1 January 2017
  • | number = [[4]] ...how the rotations in three and four dimensions can be described through a complex matrix relation or equivalently by a quaternionic formula.
    1 KB (179 words) - 10:57, 1 January 2017
  • | title = New Foundations in Mathematics: The Geometric Concept of Number ...be developed within this new framework, including modular number systems, complex and hyperbolic numbers, geometric algebra of Euclidean and pseudo-Euclidean
    2 KB (290 words) - 19:44, 1 January 2017
  • | number = [[2]] ...concept employed? Is each concept best represented by: a scalar, a complex number, a vector, a matrix, a tensor, or a new type of holor?
    778 bytes (112 words) - 10:12, 1 January 2017
  • | number = [[2]] ...fficulties. We focus our attention on the complex systems, consisting of a number of sub-systems i with the velocities ???? i u in a laboratory frame. We es
    1 KB (150 words) - 19:48, 1 January 2017
  • ...nes in this long and arduous process were the developments of the real and complex numbers which have achieved universal acceptance. Serious attempts have bee
    807 bytes (112 words) - 10:28, 1 January 2017
  • | number = [[4]] ...involves levitation and molecular disruptions. This effect resulted from a complex interaction of electrical devices, including those of Nikola Tesla and Robe
    971 bytes (119 words) - 20:03, 1 January 2017
  • | number = [[3]] ...rgently needed; first of all, interpretation of Schr?dinger's equation and complex <img width="12" height="10" src="/php/empty/Image83.gif" />-functions. Here
    1 KB (134 words) - 11:03, 1 January 2017
  • ...lel universe." Inside, the reader will also learn about a hitherto unknown number system locked within _-1. He will also discover in the infinitesimal calcul ...f the infinitesimal. While explaining his deductions and thoughts on these complex topics, he raises new questions for his readers to contemplate, such as th
    3 KB (502 words) - 06:30, 2 January 2017
  • | number = [[1]] ...ch derives from the fact that the evolution of magnetized plasmas involves complex geometries, intense self-fields, nonlinearities, and explicit time-dependen
    1 KB (133 words) - 20:01, 1 January 2017
  • | number = [[3]] ...spacing. The model, for finite mass particles, leads to an expression more complex than the popular Planck (b = &#8722;1), Landsberg (b = 0), and Ott (b = 1)
    1 KB (147 words) - 19:58, 1 January 2017
  • | number = [[82]] ...hundred years has been electricity generation with nuclear reactors. This complex technology was stamped out of the ground in a couple of decades because of
    1 KB (182 words) - 19:58, 1 January 2017
  • | number = [[4]] ...an style="FONT-FAMILY: Times New Roman">, is created utilising a system of complex linear coordinates.&nbsp; </span>This Domain is subsequently shown to posse
    2 KB (243 words) - 19:35, 1 January 2017
  • | number = [[1]] ...cattering experiments have proved that ?elementary' particles are actually complex structures. Due to deformation, such structures accumulate internal energy,
    1 KB (172 words) - 19:38, 1 January 2017
  • ...erator approach fails. The ambiguous complex representation with imaginary number i = (-1 makes it impossible to fit initial and boundary conditions. The arb
    1 KB (158 words) - 11:14, 1 January 2017
  • ...plex numbers] and [http://en.wikipedia.org/wiki/Split-complex_number split-complex numbers] as primitive types. He assigned them levels based on certain arith
    3 KB (473 words) - 06:17, 2 January 2017
  • | number = [[6]] ...a theory alternative to special relativity is a notion of the photon as a complex object with intrinsic motions whose energy has to be taken into account in
    1 KB (170 words) - 20:06, 1 January 2017
  • ...enormous number of ordinary differential equations describing an enormous number if interacting particles had to be reduced by some coarse graining of the d ...ystems and simple models with few degrees of freedom can exhibit extremely complex behavior was a shock to many scientists (also physicists), and even today t
    6 KB (899 words) - 12:57, 30 December 2016
  • | number = [[6]] ...proposed to involve the International Astronomical Union in evaluating the complex work plan and in solving the ensuing problems.
    1 KB (189 words) - 19:47, 1 January 2017
  • | number = [[3]] ...e chances for life to originate spontaneously become a near certainty, and complex systems emerge via the path of least resistance. This unique system also ex
    2 KB (226 words) - 19:14, 1 January 2017
  • | number = [[1]] ...erms of the coupling of the magnetic fields of electrons. The structure of complex organic molecules such as DNA, proteins, carbohydrates, sugars, and bacteri
    2 KB (257 words) - 19:14, 1 January 2017
  • | number = [[S1]] ...but to its square; moreover, the usual square is used here instead of the complex conjugate product. As a result new and simpler connections between quantum
    2 KB (246 words) - 19:17, 1 January 2017
  • | number = [[3]] ...SRT, and another still missing complementary theory need to develop into a complex system.
    2 KB (281 words) - 19:32, 1 January 2017
  • ...liorated by the application of the rules of Self-Organizing Criticality in complex, open systems [SOC] as integrated with the dynamics described as Y-Bias and
    2 KB (309 words) - 20:14, 1 January 2017
  • ...ngularities impossible). I completely agree that the cyclic model solves a number of problems that plague inflationary cosmology. However, I would go further ...ical theory which will succeed inflationary cosmology must account for the complex relationship between these three types of matter, as well as explain the co
    6 KB (868 words) - 06:54, 2 January 2017
  • | number = [[2]] ...rtex filament in the ideal fluid behaves exactly as a de Broglie wave. The complex-valued algebra of quantum mechanics finds a simple mechanical interpretatio
    2 KB (361 words) - 10:41, 1 January 2017
  • ...nk between nuclear and atomic structures. The model is consistent with the complex covalent chemistry of carbon. The inverted bond is explained. A new type of ...nd covalent molecular geometry. The model explains the known geometry of a number of covalent molecules. A new type of double bond with tetrahedral carbon at
    4 KB (609 words) - 13:18, 30 December 2016
  • | number = [[2]] ...conceptually inexplicable in terms of current theory, or are so extensive, complex and convoluted that they are effectively so.
    3 KB (499 words) - 20:09, 1 January 2017
  • ...ontender for those seeking a grand theory that might explain the nature of complex systems.</div> <div>&nbsp;</div> <div>Other scientists though, criticized
    6 KB (998 words) - 13:09, 30 December 2016
  • ...books concerning a theory on eco-systems and a theory on the evolution of complex systems.
    4 KB (582 words) - 13:01, 30 December 2016
  • ...Grapsa, RFSFNS: A portable package for the numerical determination of the number and the calculation of roots of Bessel functions, 1995, Computer Physics Co ...psa, The topological degree theory for the localization and computation of complex zeros of Bessel functions, 1997, Numerical Functional Analysis and Optimiza
    10 KB (1,405 words) - 13:07, 30 December 2016
  • ...ainable without the presence of a field. The field consists of an infinite number of one-dimensional North and South poles in an incoherent state- incoherent
    4 KB (642 words) - 19:45, 1 January 2017
  • ...time and eternity on the basis of an extraordinary familiarity with a vast number of recent contributions to this issue from scientists and philosophers. The ...the nature of God. In this interesting book, Professor Craig tackles this complex set of topics in a clear way. His discussion of the interrelated scientific
    5 KB (711 words) - 06:55, 2 January 2017
  • ...<li>Some New Unifications in Supersymmetry and Higher Dimensional Complex Space. arXiv:0804. 0267.</li> <li>Extended Chaos Theory and Mul ...47-53;72.</li> <li>New Developed Pattern on Number System, New Number Field and Their Applications in Physics. arXiv:0906.3781.</li> </
    26 KB (3,145 words) - 06:28, 2 January 2017
  • ...imulation by generating galaxies for each redshift bucket, and compute the number of visible galaxies (those not covered by foreground galaxies) using an ave ...most distant primeval galaxies/).</ref> : "The teams are finding that the number of galaxies per unit of volume of space drops off smoothly with increasing
    15 KB (2,210 words) - 11:38, 30 August 2018
  • ...39433 1770505;} @list l33:level1 {mso-level-tab-stop:.25in; mso-level-number-position:left; margin-left:.25in; text-indent:-.25in;} ol {margin-bo ...to visualize a complex jigsaw puzzle that makes sense only after a large number of pieces have been assembled. In this case, some of the pieces are so str
    40 KB (4,184 words) - 06:53, 2 January 2017
  • ...elopment Project, UCI: totally<br /> rewrote a program that taught complex number theory and added a feature to<br /> Quantum that remembered each individual
    7 KB (1,011 words) - 06:21, 2 January 2017
  • ...Gravitation and the Standard Model of the Atom. It also explains our very complex solar system, including the spin of our planets on their axes, why Venus sp ...ok and Virtual Elastic String Theory. I have in fact examined a very large number of observations, experiments, and theoretical considerations in multiple br
    7 KB (1,117 words) - 06:56, 2 January 2017
  • ...ys is often neglected credit. Early texts in quantum mechanics contain any number of combinations of their initials, including WBK, BWK, WKBJ, JWKB and BWKJ. ...cancelling out the exponential terms allows one to solve for an arbitrary number of terms {{math|''S<sub>n</sub>(x)''}} in the expansion.
    23 KB (3,543 words) - 12:57, 6 February 2018
  • ...f the [[electromagnetic potential]] with the [[Argument (complex analysis)|complex phase]] of a charged particle's [[wave function]], and the Aharonov–Bohm ...functions", in the language of [[differential geometry]], as sections in a complex line bundle with a hermitian metric and a U(1)-[[connection (mathematics)|c
    32 KB (4,621 words) - 12:59, 6 February 2018
  • ...c. The number of lobes in a leaf of a tree follows the same pattern. The number of veins in a leaf lobe also follows the same pattern which the ancient Gre ...y, Dr. Lucas developed a new mathematical technique for solving non-linear complex second order differential equations to analyze the pionic atom data. This
    27 KB (4,341 words) - 15:09, 18 June 2020
  • ...peeds much smaller than the speed of light. Lorentz transformations have a number of unintuitive features that do not appear in Galilean transformations. For ...'[[parameter]]'' of the transformation, for a given boost it is a constant number, but can take a continuous range of values. In the setup used here, positiv
    97 KB (14,188 words) - 15:44, 20 July 2017
  • ...none of my concepts have been accepted by the mainstream media, although a number of the concepts could be validated or disproved by experimental tests that ...ns are interconnected such that the design of the universe is a beautiful, complex and interdependent network of over 100 relationships of physics (May 1981,
    35 KB (5,424 words) - 13:13, 30 December 2016
  • ...ré metric]]<br> [[Rotation number]]<br> [[Betti number|Coining term 'Betti number']] <br>[[Bifurcation theory]]<br>[[Chaos theory]]<br>[[Brouwer fixed-point ...jpg|thumb|right|200px| Plaque on the birthplace of Henri Poincaré at house number 117 on the Grande Rue in the city of Nancy.]]
    73 KB (10,374 words) - 11:55, 7 July 2017
  • ...erivations|mathematical formulations]] of the theory, and it is known by a number of different [[#History|names]]. The de Broglie wave has a macroscopic anal ...is the [[momentum operator]]. Here, <math>\psi(q,t)</math> is the standard complex-valued wavefunction known from quantum theory, which evolves according to [
    112 KB (16,432 words) - 12:57, 6 February 2018
  • The production of a final combined image at each [[wavelength]] was a complex process. Bright [[pixel]]s caused by cosmic ray impacts during exposures we Another important result from the HDF was the very small number of foreground stars present. For years astronomers had been puzzling over
    33 KB (4,612 words) - 12:32, 5 February 2018
  • ...ame consisting of letters only. Command names are terminated by a space, a number or any other "non-letter". | Multiline equations <small>(must define number of columns used ({lcr}) (should not be used unless needed)</small>
    97 KB (14,107 words) - 12:12, 13 March 2018
  • : Combining SEGUE-1 and 2 reveals the complex kinematic and chemical substructure of the Galactic halo and disks, providi
    25 KB (3,589 words) - 12:34, 5 February 2018
  • By studying the bedrock Geological Map of the World (Figure 5) a number of observations can be made from an initial examination of this map. These ...larly, the continental rocks, in general, are shown to be more ancient and complex than the seafloor rocks.
    100 KB (15,176 words) - 13:13, 4 December 2018

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