Geometry and Number

What is on record is that Einstein was strongly opposed to the Expanding Universe models of the Russian meteorologist Alexander Friedman and of the Belgian Abbe George Lemaitre in the 1920 s 

Other biographical evidence suggests that all of these accounts could be factual. Despite the quality of his work, it therefore reflects very negatively on Einstein as an authority and his personal opinions are immaterial in the face of scientific logic. 

Einstein is by no means the only latter-day scientific authority whose stature stifles legitimate enquiry. It was stated by Murray Gell-Mann (1979) that 

There are many more, but the point has been made Although it s fair to recognize scientists for their seminal discoveries and ideas, these should constantly be re-examined and re-interpreted where necessary. 

No discipline has suffered more under the tyranny of authority than modern cosmology. Accounts without number testify to discrimination against scientists who hold alternative views or propose revolutionary new ideas. Even Gauss did not make his discovery of the principles of non-Euclidean geometry known for he feared the outcry of the Boeotians there were only a few people who could understand the essence of his discovery. In the same spirit many scientific views are withheld or suppressed in the mainstream media. In reaction the present study is not beholden to any cosmological model. There are simply too many unknowns, uncertainties and misconceptions that militate against any definitive theory. That includes the present author who stands to be corrected on many issues which may nevertheless stimulate healthy scientihc debate. 

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Both coils are constructed in the same way, geometry and number of windings are equal. A permanent sinus current flows through these coils and excites an electromagnetic field around each coils. 

Metal-promoted alkyne-insertion reactions afford another good method (see structure 12 for cluster geometry and numbering)... 

The relationship of 10 to 11 is that of the right hand to the left hand and these nonsuperimposable stereoisomers are mirror images or enantiomers (Gr. enantio-, opposite). Thus, chiral (Gr. cheir. hand) molecules are those which possess mirror images and arise when appropriate conditions of geometry and number and types of ligands are present in a system. 

These complexes are considered according to the mode of bonding of the hydrazido fragment. The known coordination types are shown in valence bond representations in Figure 15 together with the formal charge, geometry and numbers of valence electrons donated to the metal. 

Fig. 27. Molecular Geometry and Numbering Scheme for B8H12 (terminal hydrogens are numbered the same as their parent borons and the four bridges are numbered 9 through 12 starting with the 4,5-position and counting clockwise around the structure)...

THE HISTORICAL ROOTS OF ELEMENTARY MATHEMATICS, Lucas N.H. Bunt, Phillip S. Jones, and Jack D. Bedient. Fundamental underpinnings of modem arithmetic, algebra, geometry and number systems derived from ancient civilizations. 320pp. 5H x 8b. 25563-8 Pa. 7.95... 

Name Formula Geometry and number of faces (all regular) Face angles... 

A man does not tie his shoe without recognizing laws which bind the farthest regions of nature moon, planet, gas, crystal, are concrete geometry and numbers. 

Finally, the conceptual isoelectronic replacement of C-C by B-N can be applied to carba-boranes, thus leading (by appropriate synthetic routes) to azaboranes in which one or more of the cluster vertices of the borane is occupied by an N atom. So far, the following species have been characterized, the relevant cluster geometries and numbering schemes being given by the indicated structures on pp. 153-85 arachno-... 

A complex ion is described by the metal ion and the number and types of ligands attached to it. Its structure has three key characteristics—coordination number, geometry, and number of donor atoms per ligand ... 

Similar calculations performed by Galanin for a number of lattice schemes indicate that the error due to the use of the homogenization method is generally a few per cent, the actual magnitude depending strongly upon the nuclear properties of the system, as well as on the geometry and number of rods. 

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