The truth we seek is squarely in front of us …...

The science of rate change graph technology contains unique geometrical analytical processes that evolve sophisticated problem solving methodologies.   These structured concepts are presented and reinforced throughout the smart labs in the classroom.   How and why RCGT advances thinking processes to create new ideas is an integral activity cultivated in the training materials.    The objective of RCGT training is to allow attendees to capture the fundamentals of this skill set from the basic training module.  Upon learning two or more research topics, the attendee will obtain an intermediate working knowledge of RCGT and should be capable of defining proprietary methodologies no other has ever accomplished.   That’s because there are so many promising avenues for design, development, research and practical use. 

Currently, most of the mathematics and physics is proprietary, but to provide perspective attendees with examples of what will be learned, I have released for review the primary mathematical hypothesis of RCGT.    In its most sincere philosophy, the work at RCGT continues the work in the Einsteinian view of the universe.   From these three examples of RCGT foundations comes a world of new ideas.

Like the mathematical proofs scientist create today, RCGT provides attendees with similar proofing methods using geometrical techniques.   In RCGT, mathematical logic inherent in the structure of the expressions is an integral part of creating a solution.  For example, see if you can understand and answer this two part question. 

What are the default mathematical processes for the relationship between geometry and value in terms of change?

The solution set is this:  (1) Set value to a constant so that geometry changes as value remains the same.   (2) Solution two, set geometry to a constant so value changes as the geometry remains the same.  

For solution one the answer is:

 

a+a = 2a = a² = 4

 

In each expression value ‘a’ steps through the mathematical structures of addition, multiplication and exponency.  When the value of ‘a’ is 2, each operations result is 4 thus fulfilling the requirements to seek a geometrical default.  No other real number expression has this characteristic making the expression one-of-a-kind in the universe.   

Solution two the answer is:  A - B

As value changes the root mathematical structure stays the same.

 

                                  A  – B  when multiplied by a specific value;

 

                                  A  – B  (A + B) = A² – B² then

 

                                A² – B² (A² + B²) = A⁴ – B⁴ then

 

                                A⁴ – B⁴ (A⁴ + B⁴) = A⁸ – B⁸

 

In this solution A – B is the geometrical constant we seek regardless of the changing value of the result.  As the constant is multiplied by a specific expression, the result is the same for A and B positions within the structure of the mathematics.  In fact this premise is one of the founding methodologies of the rate change graph.  This methodology in RCGT is called the defined differential and the process is performed as followed:  Take the initial value of A, inverse the arithmetic operation on B and integrate the root using multiplication.   The process binds the separate entities into a symmetrical function.   The primary function of this process is to create new operation platforms for object oriented physics and mathematics. 

 

Rate Change Absolute Value

Another concept that should already be created, validated and assimilated during the modern mathematics era is rate change absolute value.    An extension of absolute value, this concept relates to an entity and its derivative in an absolute state or, the product of two entities in their absolute states.  Comparatively we know that a single number which is known as the base achieves absolute value by performing “| |” on a number.    Limited by real numbers, negative, zero and positive, creating an integrated absolute value entails squaring it.  Thus, a |5|2 and a |-5|2 are evaluated to +25, the same result whether the base number is -5 or 5.  To achieve rate change absolute value, a similar process is performed but with a geometrical twist.   The methodology is as followed:

Object A can change into object B if an increment of change is added or subtracted from A.  We can represent this event by stating the equation:

                                      A + k = B

Where A is the initial object and k is the increment of change; B is the final result.    To operate on rate change, we isolate change such that it is an entity in the equation;

                                      k = B – A

Using the defined differential we multiply each side by (B + A) and the result is that rate change absolute value is created;

                                  k(A + B) = B² – A²

k represents the order of change so if k = 1 then

                                 A + B = B² – A²

As an example, if the change from A to B was one unit then

A is 6 and B is 7, then

                               A + B = B² – A²

                               (6 + 7) = 72 – 62

Solving the equation;

                                13 = 49 – 36

 

                                13 = 13

In this type of rate change the value of B is always greater than A.  When the difference of the two values is greater than one then the difference is subject to rate change;

                            k(A + B) = B² – A²

When A is 8 and B is 5 then

                 k(8 + 5) = 82 – 52

                        13k = 64 – 25

                           k = 64 – 25/13

                           k = 39/13

                           k = 3

 is proofed the result determines a general rate change event value. 

There are no mathematical challenges in rate change absolute value.   It’s just an example of how concepts can get over looked.   Rate change graph fundamentals are a subset of modern mathematics and physics.     Rate Change Graph Technology is extraordinary because it is the correct philosophy that reveals the work of mother nature.   The training and certification seminar is designed to educate and prepare an intermediate working knowledge of the science.   Taking advantage of being on the leading edge of this technology is the place you want to be.  The smarter you are now the smarter you’ll be after you learn RCGT.

The Science

Basic Mathematics