# The number is basic concept of modern mathematics R. Courant (1)

 Название The number is basic concept of modern mathematics R. Courant (1) Дата конвертации 13.10.2012 Размер 13.77 Kb. Тип Документы
 Universal constant The number is basic concept of modern mathematics – R.Courant (1). The number unit possesses very necessary properties from the point of view of mathematics. Many mathematical transformations and proofs are carried out by means of this number. But this number has no name of a universal constant. That this number defines a biological life on a planet is surprising – the biology and the Bible speaks about it. Therefore it is necessary to make attempt to prove these unusual properties of number unit. Great mathematician D.Hilbert has expressed data of all physical constants in mathematical constants. Connection of numbers from various on concepts of number of sets by means of mathematical operations yields interesting results. The number unit as diameter of a circle gives the area of such circle equal to number 0,7854 (2). As value of function is number unites set of arguments in certain limits. Drawing 1 is available an illustration of it http://i718.photobucket.com/albums/ww184/pyramy/785.jpg . The length of an arch of a circle having a corner 45° at circle radius equal to unit is number 0,7854. Circular functions define very interesting sizes of argument for this value of function. Value of number of function Sin(ψ) gives a corner in limits from 51° to 52°. The instructions of limits will be correct record at work with numbers of various sets (it is specified above). As it is known from numerous measurements the angle of slope of sides of the Great Pyramid of Giza is in limits from 51° to 52°. Further it is possible to pass confidently to a so-called point Calvin (W.Thomson). The Corner formed by dispersing waves at movement of a point on a water table, argument ≈38° (3) of circular function Tang (ψ) which value will is 0,7854. Diameters of circles having values 2,5; 5,0; 10,0 ; define sizes of lengths of circles, multiple to number 0,7854. The individual circle and the entered correct heptagon, which tops are defined by the equation Z^7 – 1 = 0, where an equation root Z = cos ψ + iSin ψ. In this case (ψ) is in limits from 51° to 52°. In the mathematician there is a definition - form factor. The factor of the form for a circle is equal 0,0795 and only this parameter at flat figures can be the figure characteristic in mathematician.The axis of rotation of the Earth has an inclination to an orbit plane on a corner from 22° to 24°. The plane of a lunar orbit has an inclination on a corner from 5° to 6° to a plane of a terrestrial orbit (a plane ekliptika) (5). Movement of a terrestrial surface concerning a plane of movement of a pendulum of Foucault occurs with a speed from 11° to 12° at an o'clock. Procedure of multiplication and division in the mathematician of Ancient Egypt represents consecutive doubling. Having changed a direction of action of procedure and having executed consecutive division of number 0,7854 on 2 results turn out: 0,3927; 0,19635; 0,0982....... These numbers as values of function Sin (ψ) define sizes of corners from 23° to 24°; from 11° to 12°; from 5° to 6°. Coincidence to astronomical parametres which are resulted above turns out. At the heart of music there is a musical tone. For music the small amount of tones is used. To these tones there corresponds certain frequency. And in this case there is a number, multiple to number 0,7854. The sum of frequency of the note C1 (262) and notes C2 (523) (4), frequency in hertz, will be equal 785 that will be multiple to number 0,7854. It is necessary to notice that value of frequencies are approximated to the whole value, but it does not deny the fact of the approached coincidence. In combinations of the specified numbers of circular functions there are various mathematical properties: inversion, a proportion "Section divina". In the table : http://i718.photobucket.com/albums/ww184/pyramy/ssm11.jpg communication of many physical parametres is resulted. Dependence of kinetic energy (E) photoelectrons from frequency of a light wave (f) for metal with "exit work" (W) probably to represent by means of the schedule. It will be results of measurements. On the schedule dependence is displayed by a straight line. The inclination of this line concerning an axis defines Planck's constant (6). And this size is defined in the table - http://i718.photobucket.com/albums/ww184/pyramy/ssm11.jpg. The numerical sets consisting of numbers, multiple to numbers 3,142 х (1/2n)x [1/(2n + 1)] { for a table format : vertical + horizontal } have remarkable properties. Inversion (A ⁭⁭ 2 = B x C ) is such remarkable property. Inversion is carried out in geometry of Evklid. Inversion is carried out in geometry no of Evklid. Inversion provides harmony (parity) in numerical sets. The physical environment is displayed on numerical sets and then physics laws coincide with laws of numbers. Mathematical transformation of many laws of physics give as a result an inversion parity (A ⁭⁭ 2 = B x C). An example: The law Newton : F = G × M1 × M2 / R ⁭ 2 ; Algebraic transformation R ⁭ 2 = (G/ F) × M1 × M2 ; transformation R ⁭ 2 = K × M1 × M2 ; transformation . Example. Corpuscular -wave dualism. The explanation to this phenomenon is physically reflected in words “ particles an essence of a wave, a wave a particle essence “ (6). This erroneous statement is available in the physicist. The executed experiments for an explanation of this phenomenon were analyzed only from one point of view. The picture of an interference of light waves through a plane with two apertures (crack) was not considered as inversion. The plane with two apertures (crack) which is used in experiment is a good example of display of inversion. Wave inversion is carried out through the limited plane (crack). The vector stream through a surface element will pass there where this stream will be positive. Contact of surfaces of the various form which is defined by material physical sizes will define occurring processes: the more frequency, the goes process (for light quantum) more intensively. Co-operating parametres of process should be comparable in the order of size – there will be in this case a mutual influence. Transformation of physical sizes at interaction will be will be defined by laws of inversion. Therefore the explanation of photo-electric effect existing now presence of a certain dualism raises huge doubts. Point movement under laws of circular function gives the objective grounds for occurrence of bats (binary digit) of the information. This movement of a point causes occurrence of two opposite events - two opposite vector sizes on a line. Further. If the circle area it will be equal 2 units the circle radius will be approximately equal 1,6. As it is known "the gold proportion" equals 1,618. Surprising coincidence. It is quite probable that other numbers connected with found number 0,7854 will be found in the subsequent also, but it only confirms variety and beauty of the mathematical world. Sergey S. Molchanov Dnepropetrovsk, Ukraine. The literature list: 1. What is Mathematics? R.Courant and H.Robbins, NY Oxford University Press, 1941, p.24. 2. Hϋtte, volume 1, dr. R.Rote, 1933, p.2, p. 46, p.36. 3. Born by a whirlwind. G.V.Smirnov, Moscow, 1982, p.82. 4. Simple scale. G.E.Nilov, Moscow, 1980, p.4. 5. Who Built The Moon ? C.Knigt and A.Butler , (In Russian), Moscow, 2007, p. 14, p.47. 6. Fundamental physics, Jay Orear, Cornell University, NY, 1967, p. 375 .

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