William Charles Simpson
Forecast & Time

The Congruent Growth Relationship






Ea    +|*    Fg       =  Ea
    Tc             Tc           Td

(d>c)









Specific event a,
member of series of events E,
occurring during specific time interval c,
member of time interval series T;

when added or multiplied by a growth factor f sub g,
occurring during the same specific time interval c,
member of same time interval series T;

equals

congruent event a,
member of same series of events E,
occurring during later specific time interval d,
member of same time interval series T.


Where:
E = series of events
sub a = specific event of E
T = series of time intervals
sub c, d = specific intervals of T
f sub g = growth factor

Where Also:
T = major sub of E and F
a = minor sub of E
c,d = major sub of T
g = minor sub f



Explaination:

This is the primary expression which governs business, finance, investment, economic forecasting, estiment, "guesstiment", projection, and mathematical prediction processes.

No matter how simple the forecasting process is, (average growth); linear or non-linear, or the most complex to the most Great Grand Glorious Gothic Forecasting Model; sooner or later an event will have to be added or multiplied by a growth factor to get the value of the prospective future event.

This expression is not event specific. The event series or line can be any series of events to be projected upon.

This expression is for mono series of events. It is used to project upon the same series of events. This writer has worked with BI-series expressions, event line E and event line F.

In this expression the time line is a subscript of the event line. Calculation can be done on both the event line and time line together. Or the event line can be separated from the time line for purposes of separate calculation on each.

This is a beginning expression of Event-Time Mathematics.


William Charles Simpson
1st Write: Sun Mar 22 '98
Napa CA USA
1st Update: Tue Jul 15 '03
Santa Cruz CA USA

 

William
Charles
Simpson
Math & More



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