Transposition property
Direct form
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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
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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
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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
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Properties of equalities in limits||| The Phi right triangles ||| Pi and the Circumscription Theorem
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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
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Creation: Highlights||| First steps in metaphysics ||| A personal experience
Reason for the Cosmos' creation ||| The essence of life ||| Cosmic Entity: Metaphysics and Physics parameters


Direct Transposition property in equalities and equations


The direct property of transposition is a work method by which we can move terms and operations from a side of the equality to the other one in inverted way.

Given a + b = c where a = c - b. Here we pass the term +b (that is adding) to the second member in inverse operation -b.
Given a/b = c where a = c*b. Here we pass the term b (that is dividing ) to the second member that now is multiplying .
Given a^b = c where a = c^1/b. Here we pass the exponent b (in power operation) to the second member in root operation.
In the transposition method we also have to respect the priority rules of operations.
Given (a + b)/c = d
We must to transpose firstly the division by (c),
a + b = d*c
And later on, we can transpose the addition terms.
a = (d*c) - b


As we can see in the drawing, in the transposition of terms or operations we don't have to make any type of operations (addition, subtraction, multiplication, etc.) alone we move "physically" the terms to the other side of the equation, only taking its inverse value.

Principle of transposition

When any term or operation is transposed to the contrary side of the equality, the both members of the equality are increased/decreased in the same value.

Transposition: Easy and simple method

The transposition is an easy and simple method of organizing equalities and equations due to in it we don't need to make operations, alone move terms.
Contrarily, in the current method we need to make double operations and double simplification when we want to move terms.


Why the transpositions work?

In equalities and equations the both members are equivalents, and then when changing any of them we also have the change the other in the same value.
Given 25 - 8 = 17
If we eliminate the term (-8) we have to compensate the second member with the value that makes again equivalent to the equality.
And what this term is? Of course, the inverse value of -8, that is, +8, and then:
25 = 17 + 8
This occurs with any type of operations:
8*5 = 40 and then 8 = 40/5
So the transposition is moving terms between the sides of the equations in its inverse value.

Why the cross-multiplication work?

--The cross-multiplication is explained by means of the double transposition of its denominators.

--But also could be explained with the equalization of members by means mixture of the same ones.
Certainly, the cross-multiplication one members is composed by the multiplication of the bigger numerator of a fraction by the minor denominator of the other fraction, and the other member is composed by the multiplication of the minor numerator by the bigger denominator.
For instance: Given 8/4 = 6/3 ----------> 8*3 = 6*4

Procedure rules

As we see in the drawing, in the transposition of terms and operations between the members of equations and equalities, the terms (addition, subtraction) are independent and prior and should be passed directly with the contrary sign.
Contrarily operations are included and subject to terms, and so, we must to pass firstly the terms to be able the transposition of operations later.