Event Activation Curve - Exothermic & Endothermic, Time-Evolved Systems

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Time-Measurable System Reactions

The system reaction curves are indicative of what occurs in thermal reactions of both types. In the graphically plotted examples, the system in examination is the external environment - the more convenient system to measure and manage. The graphs it possible to measure the full time-evolution of a reaction for the first instance in our history. The functions produce fractional ratios in all results - unity being the greatest, naturally.

In the 2 examples, below, a = 10 from the diagram example.

            f    =        frequency

            t     =        time ,                       time variable

     omega   =        2 * Pi rad * f

            ω    =        2 * Pi rad* f  * t ,            time evolution for one dimension/sin ( θ + ϕ)

It is ω/2 = Pi rad * f * t

for 2 dimensions or sin^2 ( 1/2 ( θ + ϕ)

Exothermic (Liberation) Reaction

f(x) ,    y,     A       =        - ( ( 1 - ( 1/a * x ) ^ 1/2 ) ^ 2 )    +    1

f(x) ,    y,     A       =        ( ( 1 -  ( 1/a ( ω/2 ) * t ) ^ 1/2 ) ^ 2 )

Endothermic (Absorption) Reaction 

f(x) ,    y,     A       =       - ( ( 1 - ( 1/a * x ) ^ 1/2 ) ^ 2 )    +    1

f(x) ,    y,     A       =        ( ( 1 - ( 1/a ( ω/2 ) * t ) ^ 1/2 ) ^ 2 )

Applications in Various Field of Research and Commercialisation

• Economic forecasting - system reactions to changes instituted by organisations and population groups

  
  

• Commerce - Engineering & IT technology diffusion rate

  
  

• Product Lifecycle - measurable curve

  
  

• Medicine

  • food or medication absorption rates

  • biochemical energy liberation in body tissue (thermal).  Use of a constant and extra-sensitive or well graded thermometer is required

    
    

• Science & Engineering

  • exothermic (heat emission) reaction

  • endothermic (heat absorption/heat induction) reaction

Economics - Fiscal/Monetary Policy

With respect to reactions outside of the domain of the science laboratory, in testing the theory, is whether the local currency exhibits a reaction similar to either the endothermic or exothermic, time evolution when currency is traded internationally on the derivatives market.

Government (Medicine Inclusive)

Government, medical and non-weaponisation research programs will be able to access and implement the two mathematical functions for a  license with no fee structure.  All private and public educational programs may access and implement the same mathematical functions for any research and educational facilitation other than social or other weapons. All commercial application is subject to the standard and world-wide-web-published pricing model.

Marketing Model

The first stage of Centreweave's distribution model will be an auction for 5 distributor/user organisations to compete for that level of exclusivity. The field of bidders will be up to 100 commercially interested organisations worldwide.

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