AKO Nula i Beskrajno

8/6/2019 AKO Nula i Beskrajno

1/15

U Neo-traktatusu (Unus Mundus broj 38 2011) Ti si, Duane, u mojoj formuli

x Rxh G

c

3

uzeo, kao jedinu promenljivu, masu bilokog objekta iju vrednost ti pruajufizika,kosmologijai astrofizika.Odlino radei deduktivno ti si jednostavno primenio moj zakon , ali ga nisiizveo.Ja u ovde kao promenljivu uzimati razdaljine objekata koje e mi davati rezultatimerenja teleskopa Hubble. Ali,najpre u da izvedem svoj zakon..

Za potpun proraun bi trebalo uzeti u obzir da astronomska godina (suneva godina)ima 365 dana, 5 sati, 48 minuta i 45 sekundi, pa je broj sekundi u godini zapravo31.556.925. U tom sluaju svetlosna godina iznosi 9.460.528.112.671.650 metara.Prvou izraunati masu i talasnu duinu Sombrerogalaksije iju je sliku poslao pomenuti teleskop a kosmolozi izraunali razdaljinu.

Kosmolozi

raunaju daljinu na vie naina .

i 1:=

h 6.626 1 027

gmcm

2

sec=

f nula,( ) 2

cm2

0 cm( )2

:=

G 6.672 1 08

cm

3

gmsec2

=

Najvanija injenica na koju ti skreem panju je u tome to ti nisiiaona kompleksnu ravan. Kompleksni brojevi omoguuju rad sa nulom ibeskrajem. Osim toga, - a to je jo vanije- kompleksna ravan je, kakoje to dokazao Riman, samo preslikavanje Rimanove sfere na povr.Ovde istiem da kompleksni brojevi imaju svoje postojanje uonostranomplatonskom svetu.

Ti si, Duane, briljatno tumaio moje rezultate kao izumemog,ljudskog duha.

Ja, medjutim ne pravim izume, ja dajem otkrovenja.Ti si u

mogunostida me prati i tumai, ali ti si intuitivist,konstruktivist, formalist (ulogikomsmislu rei) i tvoje kole iji si ti ,moda, najtalentovaniji pripadnik,ne doputajuti da skoi u platonski svet nule i beskraja.

i 1:=

h

MS c:=

f2 nula,( ) cm( )2

0 i cm( )2

+ cm2:=

cm2

( )2

0 i cm( )2

+ cm4 f2 0,( ) cm

2


2/15


3/15

Ovaj surface plot je Duane, neto sasvim novo

f3 nula ,( ) i cm 0 i cm+( ) i cm( ) :=Ovaj bar plot je Duane, takoe nova stvar

f3

cm cm

f3

f5 a b,( ) 2 i2

cm 1 i2

cm+:=

f5 a b,( ) 2 i2

c m 1 i2

cm+:=

f5

f8 nula,( ) i2

cm2

0 i2

cm2

+( ):=

f8 nula,( ) i2

cm2

0 i2

cm2

+( ):=

Duane , ovde se vidi da je Svemir lopta

8 nula,( ) i2

cm2

0 i2

cm2

+( ):=

f8 f0 a b,( ) 0 i2

:=


4/15

nula,( ) i2

cm2

0 i2

cm2

+( ):=

f8

f8 nula,( ) i2 c m

2 0 i

2 cm

2+( ):=

f8

8 nula,( ) i2

cm2

0 i2

cm2

+( ):=

f8


5/15

nula,( ) i2

cm2

0 i2

cm2

+( ):=

f8

Duane, mislim da mogu da ti kaem da ja OTKRIVAM udesa

f10 nula,( ) i2

cm2

0 i2

cm2

+:=

f10 nula,( ) i2

cm2

0 i2

cm2

+:=

10 nula,( ) i2

cm2

0 i2

cm2

+:=

f10

i2

cm2

0 i2

cm2

+ cm2


6/15

0 a b,( ) i2 0 i2:=Contour plot

f3

Data plot

cm cm

f3

i 1:=Patch plot

cm 0 cm+

f3


7/15

c3

2.694 1031

cm

3

sec3

=

c 3 1010 cm

sec:=

we equip the sphere with geographic coordinates, the longitude ( ) and the latitude (22 ) andfix that the points of the positive real axis are mapped onto the zero meridian =0 , then the polarcoordinates (argument and modulus) and r of P in the mapping (1) are connected with thegeographic coordinates of P by the equations

Rimanova sfera

90i

ilim+

90


8/15

1.111 10

70

cm=


9/15

The function y = 1/x. As x approaches 0 from the right, y approaches infinity. As x approaches 0 from the lefapproaches minus infinity (see ).In , division by zero is a term used if the divisor (denominator) is . Such a division can be


10/15

A spherical coordinate system with origin O, zenith direction Z and azimuth axis A. The point hradius r = 4, inclination = 70, and azimuth = 130.

The function y = 1/x. As x approaches 0 from the right, y approaches infinity. As x approaches 0 from the left, approaches

i 0 i2

( )lim

undefine

2 (mod2)r=2Rtan2+4 f 0 a b,( ) 0 i

2:=

mod 2 cm,( ) =mod 2 cm,( ) mod 2 cm,( )

=

x4 6x3 + 3x2 + 26x 24 = 0x 2:=

x4

6 x3

3 x2

+ 24+ 44= i 1:=

eix = cos x + i sin x

exp i x( ) cos x( ) i sin x( )+

exp i x( ) e2i

y 1:=

cos x( ) i sin x( )+ 0.416 0.909i+=

f i( ) i33

sin x( ):=

f

f i( ) 0.909 i=

x4 6x3 + 3x2 + 26x 24 = 0x 2:=

x4

6 x3

3 x2

+ 24+ 44=i 1:=

eix = cos x + i sin x

exp i x( ) cos x( ) i sin x( )+

exp i x( ) e2i

y 1:=cos x( ) i sin x( )+ 0.416 0.909i+=

f i( ) i33

sin x( ):=

f

f i( ) 0.909 i=

n mathematics, the Riemann sphere (or extended complex plane), named after the 19th centurymathematician Bernhard Riemann, is the sphere obtained from the complex plane by adding apoint at infinity. The sphere is the geometric representation of the extended complex numbers\mathbb{C} \cup \{\infty\}, which consist of the complex numbers together with a symbol \infty\! torepresent infinity.

The extended complex numbers are useful in complex analysis because they allow for divisionby zero in some circumstances, in a way that makes expressions such as

1 / 0 = \infty

well-behaved. For example, any rational function on the complex plane can be extended to acontinuous function on the Riemann sphere, with the poles of the rational function mapping to

infinity. More generally, any meromorphic function can be thought of as a continuous functionwhose codomain is the Riemann sphere.

In geometry, the Riemann sphere is the prototypical example of a Riemann surface, and is one ofthe simplest complex manifolds. In projective geometry, the sphere can be thought of as thecomplex projective line \mathbb{CP}^1, the projective space of all complex lines in \mathbb{C}^2.As with any compact Riemann surface, the sphere may also be viewed as a projective algebraiccurve, making it a fundamental example in algebraic geometry. It also finds utility in otherdisciplines that depend on analysis and geometry, such as quantum mechanics and otherbranches of physics.Contents[hide]

* 1 Extended complex numberso 1.1 Arithmetic operationso 1.2 Rational functions

* 2 As a complex manifold* 3 As the complex projective line* 4 As a sphere* 5 Metric* 6 Automorphisms* 7 Applications* 8 See also* 9 References* 10 External links

[edit] Extended complex numbers

The extended complex numbers consist of the complex numbers \mathbb{C} together with \infty.The extended complex numbers may be written as \mathbb{C} \cup \{\infty\}, and are oftendenoted by adding some decoration to the letter \mathbb{C}, such as

\hat{\mathbb{C}},\quad\overline{\mathbb{C}},\quad\text{or}\quad\mathbb{C}_\infty.

Geometrically, the set of extended complex numbers is referred to as the Riemann sphere (orextended complex plane).[edit] Arithmetic operations

Addition of complex numbers may be extended by defining

z + \infty = \infty

for an com lex number z\! and multi lication ma be defined b


11/15

z4 64=

z1

2 2i+=

z5

128 128i=z 2 2 i+=

z2

8i=z6

512i=

z3

16 16i+=


12/15


13/15

z 2 2 i+:=

z4

64=

z1

2 2i+=

z5

128 128i=z 2 2 i+=

z2

8i=z6

512i=

z3 16 16i+=


14/15


15/15

F u n d a m e n t a l C o n s t a n t s

A s t r o n o m i c a l C o n s t a n t s

Documents

AKO Nula i Beskrajno