Of ferman: Fernando Mancebo Rodriguez--- Personal page.

You can see many of my works, in the following pages:

COSMIC and ATOMIC MODEL ||| Video: Cosmic and atomic model
Double slit and camera obscura experiments: ferman experiment ||| Type of Waves: Questions of Quantum Mechanics
The socurces of gravity. ||| In favour of the cosmos theory of ferman FCM ||| Theory of Everything: summary
Model of Cosmos. ||| Development speed of forces.||| Magnets: N-S magnetic polarity.
Stellar molecules ||| Static and Dynamic chaos||| Inversion or Left-right proof ||| Scheme approach TOE
Chart of atomic measures||| The main foundations of the Cosmos' Structure ||| Unstable particles in accelerators
Short summary atomic model ||| Positive electric charges reside in orbits.||| Mathematical cosmic model based on Pi.
Inexactness principle in observations ||| Einstein and the gravity ||| The Universal Motion ||| Atomic particles
Cosmic Geometry ||| Bipolar electronic: semiconductors ||| Multiverse or multi-worlds||| Light and photons
Quantum explanation of Gravity ||| Real physics versus virtual physics ||| The window experiment
Atomic Density ||| Linkin: Coeficients Lcf Mcf ||| Atomic nuclei structuring: Short summary
Few points about Cosmic Structuring.||| What is Time||| Simultaneity ||| The Cosmic tree ||| The Cosmic entropy
Interesting and short life of neutrons ||| Leptons field ||| Macro Microcosm, the same thing.
Fourth dimension of space.||| The way to get a unity theory||| UHECR Ultra-high-energy-cosmic-rays
Magnetic or entropy forces: types or classes||| Time observation and time emission ||| The universe expansion
Planetary Mechanics : Short summary ||| Easy explanation of the Planetary model||| State and type of Particles
Higgs boson and fields: wrong way ||| The positron proof: main types of magnetic fields ||| The gravity proof
Current state of cosmology ||| Electromagnetic charges: reason and procedure ||| Neutron: The short and interesting life of
Type of Magnetic Forces ||| The big-bang and Universe' expansion ||| Astronomical chart: Astros, asteroids and microids
Certainty Principle: easy explanation ||| Certainty Principle and the Schrodinger's Cat ||| Wave function collapse
Relativity versus QM ||| The non-curvature of space by matter ||| The Master Clock
Ferman's light analysis ||| Cosmos basic elements, summary||| Comparative numbers in double slit experiment
Stars dimensions ||| Orbital situation of electrons ||| Bright cores versus Black holes
Summary of Ferman cosmic vision and models ||| Atomic nuclei similar to stars ||| Stationary time, but not local neither relativist
Neutrinos versus background radiation ||| Saturn says no to Einstein curvature.||| Da: Average density of energy in the cosmos
Gravity versus magnetic fields of force ||| Black holes cannot exist||| Expansion of materials by energy
Particles in accelerators: almost infinite ||| Trans-dimensional or ideal loupe||| 4D of space, time and matter
5D x 6D = Universal motion x time = Cosmic energy ||| The six cosmic dimensions
Neutrinos ||| Nature of light ||| Hydrogen atom ||| Uncertainty principle: test||| Criticism to Quantum M
Invariance Principle of Time ||| Stuffing forces and heat particles||| Physical waves and imaginary waves
Higgs fields and bosons: Imaginary elements||| Higgs bosons predictions||| Exotic particles
Stars as copies of atoms ||| ERF: Energy rebalancing forces||| Big Bang reality
Radial coordinates.||| Physical and mathematical sets theory. | Algebraic product of sets.
Planar angles: Trimetry.||| Fractions: natural portions.||| Cosmic spiral ||| Inverse values of parameters and operation
Equivalence and commutive property of division. ||| Concepts and Numbers. ||| Bend coefficient of curves ||| Mathematical dimensions
Transposition property ||| Accumulated product: Powers ||| Dimensional Geometry: Reversibility
Priority Rule in powers and roots ||| The decimal counter ||| The floating point index ||| Paradoxes in mathematics
Direct formula for Pi: The Squaring Pi. ||| The pyramids of Squaring Pi. ||| Functions of Pi ||| Integration formulas Pi.
Squaring the Circle ||| Cocktail formula for Squaring Pi.||| Orbital coordinates in motion: Summary
Oscillating function: Cartesian oscillators ||| The ciclo as unit of angular speed ||| Squaring circles ruler and compass |||
Video: Squaring circles ruler and compass ||| The number Phi and the circumference.speed |||
The The extended Pi ||| Angles trisection||| Squaring the Circle regarding Phi||| Video of the two squares method
Discusion about the Pi as transcendental number|||: Not transcendental Pi||| The chained sets|||
Properties of equalities in limits||| The Phi right triangles ||| Pi and the Circumscription Theorem
Pi triangle by squaring the circle : Vedeo Pi triangle ||| Squaring Pi demonstration by circumscription Theorem LatexPdf
Doubling the cube ||| Framing the circle ||| Phi and Pi: relation formula
Squaring circle with Phi (to 0.000005 of ideal ruler and compass)||| Sbits: Static and dinamic orbital coordinates
Squaring Pi and the Floating Point
Spherical molecules. ||| Genetic Heredity. ||| Metaphysics: Spanish only. ||| Brain and Consciousness. ||| Type of Genes T and D
Certainty Principle ||| From the Schrodinger cat to the Ferman's birds ||| The meaning of Dreams
Freely economy ||| Theoricles of Alexandria ||| Rainbow table of elements.||| Satire on the Quantum Mechanics
Cancer and precocious aging ||| Hardware and software of Genetics ||| The farmer and the quantum physicist
Dreams and unconscious logical computing ||| Intelligence and logic ||| How our brain and mind work
Andalusian Roof Tile. ||| Rotary Engine. ||| Water motors: Vaporization engines.
Triangular ferman's Houses .||| Pan for frying and poaching eggs ||| The fringed forest
Summary of Hydraulic Chenge Box ||| Ferman fingernails
The Emperor's new clothes and the QM ||| Garbage Triangle: Quantum mechanics, Relativity, Standard theory
Fables and tales of the relativists clocks.||| Nuclei of galaxies.||| Particles accelerators.
Hydrocarbons, water and vital principles on the Earth. ||| Cosmos formula : Metaphysics
Ubiquity Principle of set.||| Positive electric charges reside in orbits.
Chaos Fecundity. Symbiosis: from the Chaos to the Evolution.||| Speed-Chords in galaxies.
The ancient planets Asteron and Poseidon.||| The man and the testosterone.||| Toros say ||| The essence of life
Chaos + symbiosis = evolution ||| Future Cosmology: Satire on Relativity and Quantum Mechanics
The stupid tale of the astronaut that did not age ||| Summary of Ferman cosmic vision and models
Climate due to human activity ||| Humans as herd animals
Video Universal Consciousness||| Who is God ||| Faces of God ||| Web Universal consciousness
Creation: Highlights||| First steps in metaphysics ||| A personal experience
Reason for the Cosmos' creation ||| The essence of life ||| Cosmic Entity: Metaphysics and Physics parameters


Natural nunbers and natural portions.


"Fractions could be considered as the product of natural numbers by portions of unit."
This way, the fraction consists in a set of portions belonging to units previously divided.


We can consider portion to each part in what we have divided any unit.
To be able act mathematically with fractions, the unit has to be divided in equal parts, being each one of them equivalent to the other ones, that is, in partitions any portion will be always equal to any other one, and it will be written expressing the unit as numerator and expressing the portions in which the unit is divided as denominator, in the following way: 1/5
Where 1/5 say us that the unit has been divided in five equal portions.


Natural number and natural portion

We already know that the natural number (1, 2, 3, 4, etc.) could be the first mathematical concepts that the man understood: 1 rock, 2 eggs, 3 apples, etc.
But not much later, the man possibly took conscience that any object in turn could be divided in parts, as for example a melon in 2 portions; a deer in 4 portions, etc.
So very early, the primitive man begin to conceive of a "natural" manner that many of the around elements could be parted in portions.
Well, to the portion that can be contemplated when we part a physical element is the one that we name as natural portion, of course, by similitude y approximation to the natural numbers.
Also for differentiating from the mathematical portion, which is merely abstract or of pure mathematics, as for example 0,25; 0,74; 0,20 etc.
This way, for the existence of a natural portion is necessary to have the previous conscience of having taking a element that has been parted in portions.
A natural portion doesn't exist if previously we don't have considered a comparative and precedence unit.
For example, a fourth 1/4 where exists the comparative unit and where exists de portion.

Multiplication of natural numbers and multiplication of natural portions.

We already know the simple a easy product of the natural numbers.
For example, if we have 1 apple and we want to multiply it by 5, then we put 1*5 = 5

But besides the product of natural numbers by portions of unit also exist.
For example, if we divide a cheese in 8 portions we can express it saying that each portion is a eighth of cheese 1/8.

But later on, to these portions already divided, we can multiply them by a natural number. This way, to 1/8 we can multiply by 3, obtaining a result of 3*1/8 = 3/8.
Well, to this is to what we name fractions, to the result of multiplying a natural number (3) by a natural portion (1/8).
In this case, el numerator represent the numbers of portions that we have joined (3), and the denominator say us the numbers of portions on what the units have been divided. (8)

Sequences and their limits.

Limit of sequences of numbers

Many sequences of number can have well-defined limits.
For example:
0,9; 0,99; 0,999; 0,9999; 0,99999 .,.,.,.,.,.,.,.,.,.,.,. where its limit is 1.

Limit of sequences of digits

Many sequences of digits (that compose numbers) can also have well-defined or well-established limits.
For example:

0,9999999 ...... where its limit is 1.
0,3333333 ...... where its limit is 1/3
2,71828 ........ where its limit is e.
3,141592 ....... where its limit is Pi.

In the cases of Pi and number e, they have irrational and transcendental limits.

In any case, limits are values to which the sequences go, say, tendencies, unreachable goals, never a real consecution.
For example,

0,3333333 ....... never gets the goal of 1/3. This way 3 * 0.33333 ...... = 0,999999...... but it never gets to be 1.

Why? Because in the decimal division of 1/3 = 0.333333 ..... always last apart a infinitesimal remainder.
Then if we multiply 3 * 0.33333 ..... = 0,999999.... because we never include the remainder.
Why occur this?
Because of the decimal division is imperfect and have the problem of can't make exact divisions, and many times in partitions we lost the remainders, and so, when we proceed to the multiplication of divider by quotient, in the result lacks the remainder.
Now well, by convention and to facilitate operations, sometimes we can use the limits, but mathematically is not equal a sequence of infinite digits than its limit.

Fractions with sequence of digits

Many fractions produce sequences of digits when we proceed to the division of numerator by denominator, say, when we traduce the fraction into a decimal division.
For example, 2/3 = 0,666666 ........
In these cases, the produced sequence of digits tends to get a limit.
In the anterior example, 0,6666........... has its limit in 2/3.
So, from this circumstance we can produce a theorem.

Theorem of limits in fractions:

"Any fraction that give us as decimal result a sequence of infinite digits, is in turn the limit of this sequence of digits."