Index NUMBER THEORY, The Theory of Numbers by Kevin John Trinder

Welcome to Kevin John Trinder's work in progress
for the self-publishing of:

NUMBER THEORY
an unqualified demonstration June 1996

(Kevin John Trinder's reconciliation and research of,
"the theory of numbers")

ISBN 0-646-28727-3
by Author and Copyright © Kevin John Trinder

Index
(in progress)

Authors note (October 2006): stopage of reasearch/reconciliations goals

to say/express thanks, Thank You

A

Actuarial studies

Atomic clocks

Notional: Atomic Unit of Permittivity value "A"

Notional: Atomic Unit of Permittivity value "B"

Notional: Atomic Unit of Permittivity value "A" and Positive Muon Magnetic Moment

Notional: Atomic Unit of Length and Planck Mass

Notional: Astronomical Unit Earth-Sun value "B"

Notional: Astronomical Unit Earth-Sun value "A"

B

Bending of light factor 1.61 and 1.609624

C

Current number theory web posts

Notional: Characteristic Impedance of Vacuum

D

Demography

Geometric drawings by Kevin John Trinder:

Pi curve quadrature

Quadrature of a Plane Figure ( circle )

Kevin's Phi equation φ: 1.61803 and its inverse .618033.

Authors Note: Exhaustion "perfect circle" and E=mc^2

Observing right angle triangles about the circumference of a circle.

E

E=mc²

NB, for a given latent Energy (E) and Mass (m):

Velocity² = [ 2* ( (sqrt ( (4*E) /m ) ) /4) ]²

Electron Magnetic Moment

Electron Magnetic Moment Anomaly

Equations, Infinite and Sequential

Notional: Electric constant

Notional: Electron Volts (Rydberg constant)

Notional: Electronic Charge (EC)

Notional: Electron Volts

Notional: Electronic Charge (EC) times Planck Constant (h)

F

Notional: Fine-structure constant September 2000

Notional: Notional fine-structure constant and latent Energy (E)

G

Geometric drawings by Kevin John Trinder:

Pi curve quadrature

Quadrature of a Plane Figure ( circle )

Kevin's Phi equation φ: 1.61803 and its inverse .618033.

Authors Note: Exhaustion "perfect circle" and E=mc^2

Observing right angle triangles about the circumference of a circle.

Geology/simulation of seismic waves

Golden angle

Notional: Gravitational constant

Notional: Gravitational Constant values "A"

Notional: Gravitational Constant values "A" and "B"

August 2006

Newton, Isaac - Einstein, Albert - Trinder, Kevin John

"Gracitational Constant" (G_T):

G_T = 6.6741921959969401686147.*10^-11

Eeinstein, Albert and Trinder, Kevin John

Constants (G_t), (E_t) and (E_T):

G_t = 6.6680118561094412201327.*10^-11

E_t = 1.86463923050949686250452.*10^-26

E_T = 1.86636749741435463426108.*10^-26

H

Harmonic numbers

Listing Harmonic Numbers

Even Based Harmonic Numbers

Odd Based Harmonic Numbers

Harmonics number equations

Multiples of twenty-four outcomes {24, 48, 72, 96, 120, 144...}

Notional: Hertz (Rydberg constant)

I

Inverse input/output equation for positive numbers

J

j-invariant and the discriminant

K

L

Notional: Magnetic Flux Quantum

Notional: Positive Muon Magnetic Moment

Notional: Muon - Neutron/Proton Mass Ratio

M

Mensuration

Multiples of twenty-four outcomes {24, 48, 72, 96, 120, 144...}

N

Notional: Natural unit of action

Notional: inverse Neutron Mass Ratio

Number theory or The Theory of Numbers:

Theory of Numbers and Integers

O

P

Pi

Pierre de Fermat's Last Theorem, Page 36

Phi

Prime Number Working List Initial Patterns for Groups Of four Primes (consecutive pairs of twin primes)

Building Odd Non-prime Number Lists

Primitive Triples ( Consecutive)

Notional: Permittivity (value "A")

Notional: Permittivity value "B"

Notional: Planck constant

Notional: Planck (Mp), Planck (Rpc)

Notional: Planck - Reduced constant

Notional: Planck Mass and Atomic Unit of Length

Notional: Reduced Planck Constant and Planck Mass

Notional: Positive Muon Magnetic Moment

Notional: Planck Constant (Electron Volts)

Notional: Electronic Charge (EC) times Planck Constant (h)

Prime numbers:

29

Q

Kevin Trinder's view of the "quadradic" equation

and the notion of:

E=mc², a=pi*r² and (pi*d²)/4

R

Recurring Didgits

Reductio Ad Absurdum

Refractive index of air

Notional: Reduced Planck Constant

Notional: Reduced Planck Constant and Atomic Unit of Length

Notional: Reduced Planck Constant (Electron Volts)

Notional: Rydberg constant (R)

Notional: Rydberg constant (Electron Volts)

Notional: Rydberg (R), Rydberg (Hertz)

Notional: Rydberg Constant and Electronic Charge (EC)

S

Simulation of seismic waves

Solar Constant

Notional: Speed of Light and unit of permittivity

Notional: The Speed of Light and Electric constant

Sphere stacking

Pi,The Square Root of Three (√3), The Square Root of Two (√2)

Notional: Standard Atmosphere

String Theory

Superstring thresholds

T

Thermodynamics: Change of Phase (triple point of water)

Three, four, five right angle triangle: 3, 4, 5 right angle triangle

Transcendental Number Theroy:

Notional Transcendental Equations for
Pi and Universal/Physical Constants

Notional Transcendental Equations for
Phi and Universal/Physical Constants

The Theory of Numbers or Number theory:

Theory of Numbers and Integers

U

Notional: Universal constants Gravitational constant, Planck Mass, Speed of Light

V

Notional: Volts (Electron Volts - Rydberg constant)

W

Wholeness without limitation

X

Y

Z

Numbers (Positive):

.03937007 inches.

.0450703

.618033 and its inverse 1.61803

.9482

.948252

.987654320987654320987654320

.9969273

1.0011596521933749649504.

1.0030821

1.0545

1.054571

1.1596521933749649504.

1.3483

1.61

1.61803 and its inverse .618033.

1.645

1.644934

2.431708

2.446721

1.282

1.282549

3, 4, 5 right angle triangle: Three, four, five right angle triangle

3.030693

3.11744

3.160493

4.005

6.626

6.626

6.6261

6.62607

6.62607062

22.187539

24

29

41.79798 and 41.8

74.048

101.82337

128.09

137.0360017611.

137.51

144 and mensuration

360.5627

phi and 666

744

1367.034

1728

2773

3233

82944

82944, 48 times 1728

101.82337 and mensuration

1728

196884

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