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Details: I recently bought a Garmin GPS Map 441s from Seaworthy marine in Fulton Tx. I am in Corpus Christi, Tx. It shows my boat on dry land when it is sitting in the canal by my house. The canal is 70 ft. wide and th boat is shown another 20 ft on dry land. Seller says Garmin says there is nothing they can do about the fact that the map over lay is wrong. A sad day for a corporation that sells a defective product and cant correct the defect.

Defines what an experience curve really is and why.

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“People minimize their time per unit of dimension, namely d((dE/dt) / (dR/dT))/dT  = zero = 0 .

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The result is that the Log(Money)=(1/N)*Log(Volume).  Also,

Log(Price)=(1/N-1)*Log(Volume)

and other relationships that can be worked out from Money=Price*Volume=Wages*Employed=Wealth+Costs,

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and the fact that demand is frequently exponential with time.

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Which has slope of 2.

The number of dimensions m, normally being used is: Slope=1/m-1, hence in this case 1/m=2+1=3.

However, we are not infecting the virus it is the other way around.  Hence from the viruses point of view the number of dimensions is 1/m not m, and therefore=3.  It is a volumetric production rate.  Presumably the graph of deaths vs. invections will continue until the number of uninfected people is beginning to diminish, somewhere over half of the population.

The death rate per thousand infected people (the “fraction”) has been rising but recently has been diminishingas shown in:

recent-us-deaths1

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Power Point presentation “with recorded voice”.  Research as Investment

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If the rate of reaction of a chemical reaction is proportional to pressure (P) then raising pressure will lower the volume required at the same time that it will raise the thickness of the walls to contain that higher pressure.  It follows that Investment will be:

Investment=k*(1/P)^(1/3)*P

Investment =k*P^(2/3)

If the reaction is proportional to the pressure squared (2 species->one species)

Investment=k*(P)^(1-2/3)=k*(P)^(1/3)

For a 3rd order pressure dependency on the reaction rate the Investment is independent of pressure, i.e.

Investment=k*P^(1-3/3)=k

For orders higher than 3 other things like heat transfer to/from the reactants (i.e. area or order 2),  or limiting conversion to limit temperature rise, or use of diluents to control temperature rise,  may become dominant, limiting the pressure effect between P^0 to P^(1/3).

By my memory the investment for polyethylene plants scale as the 1/4th power of Pressure.

The foregoing is applicable for a fixed production rate.  However if one is in the position of building a plant where the justification of the capital is a key element then one likes to consider investment per annual pound.  Larger plants tend to give lower investments/annual lb.  Since production rate is proportional to P raised to the power of 1,2, or 3 preceding the investment per annual lb will be proportional to Pressure raised to the power of -1/3, -5/6, -6/3=-2.  That being the case plants tend to be at the highest pressure and largest scale.

Bruce Henderson in his “Perspective on Experience” alluded to learning being responsible for the experience Curve being the way that it is. However, he never did quantify the relationship between price and cumulative volume much less their relationship to learning. Henderson’s lack of understanding of the cause and effect relationships is exemplified by the many assertions of not knowing why the curves were as they were. Michael Rothschild in his Bionomics: Economy as Ecosystem asserts Henderson as writing:

“The experience curve phenomenon is as real as gravity. . . . [Its] effect can be observed and measured in any business, any industry, any cost element, anywhere. . . . The reason for the experience curve effect are not particularly important. The important fact is that the experience curve is a universally observable phenomenon.”

Clearly Henderson did not know and did not want to know the reasons behind experience curves as long as his experience curve phenomenon continued to be acknowledged.

See link for more:

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The cause and effect relationship is shown in this link (publication)

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These documents are part of the continuing dialog about what Experience Curves are and how they can be extended beyond historic data.