Just because the model does not seem to help you, don't think that it does not help other people.

Analysing the mechanics of practice can really be beneficial.

When there is a period of slow progress one can remember that there will come a period of quick progress again (because he studied the mechanics of practice).

Analysing the mechanics of practice can really be beneficial.

When there is a period of slow progress one can remember that there will come a period of quick progress again (because he studied the mechanics of practice).

For the person contemplating a possible use of this theory for their doctrinal thesis, you might want to use the following assertion as a minor or major point.

If the progress of meditation is exponential, then it should also follow, mathematically, that the only thing to derive from from the progress of meditation is the progress of meditation.

And nothing else. Not fame, or fortune, or anything. For if anything other than the progress of meditation is derived from the progress of meditation, then it follows that the progress of meditation is not an exponential function.

Proof:

Let y= e^x where y = the progress of meditation

Then (dy/dx) y = e^x

Comment

Let x = the level of concentration. For if x = time, then we are assuming, rather incorrectly, that the progress of meditation increases with time, when it is more obvious that the progress of meditation increases with level of concentration. Time is of course essential but should act as a linear constant.

Also

The form of the function might resemble: be^kx, and then everything hits the fan for my assumptions, for in the progress of meditation we may also derive k. However, k must be integral to the progress of meditation. What thing is integral to the progress of meditation but remains constant even in relation to increased awareness and penetrative wisdom? Hmm. And, whatever that thing might be, in so far as it exists in the equation, what would it mean to derive that same thing from meditation in the progress of meditation? Must be uppekha. Got to be uppekha. Must be...

I suppose I'll have to meditate on that one! Blaaaaaaaaaaargh. ...ha.

-Pondera

If the progress of meditation is exponential, then it should also follow, mathematically, that the only thing to derive from from the progress of meditation is the progress of meditation.

And nothing else. Not fame, or fortune, or anything. For if anything other than the progress of meditation is derived from the progress of meditation, then it follows that the progress of meditation is not an exponential function.

Proof:

Let y= e^x where y = the progress of meditation

Then (dy/dx) y = e^x

Comment

Let x = the level of concentration. For if x = time, then we are assuming, rather incorrectly, that the progress of meditation increases with time, when it is more obvious that the progress of meditation increases with level of concentration. Time is of course essential but should act as a linear constant.

Also

The form of the function might resemble: be^kx, and then everything hits the fan for my assumptions, for in the progress of meditation we may also derive k. However, k must be integral to the progress of meditation. What thing is integral to the progress of meditation but remains constant even in relation to increased awareness and penetrative wisdom? Hmm. And, whatever that thing might be, in so far as it exists in the equation, what would it mean to derive that same thing from meditation in the progress of meditation? Must be uppekha. Got to be uppekha. Must be...

I suppose I'll have to meditate on that one! Blaaaaaaaaaaargh. ...ha.

-Pondera

I think the greatest shortcoming of the human race is the inability to add fractions....I have often remarked (not here) that the survival of civilization hinges upon the ability of people to be able to add fractions.

You probably think you can add fractions...."Hey, I can add fractions....two fourths make a half...two halfs makes a whole" you spout with enthusiasm.......but if you want to introspect then just be mindful of what arises internally when I ask you to add 13/74 with 52/111.

No decimals allowed.

chownah

You probably think you can add fractions...."Hey, I can add fractions....two fourths make a half...two halfs makes a whole" you spout with enthusiasm.......but if you want to introspect then just be mindful of what arises internally when I ask you to add 13/74 with 52/111.

No decimals allowed.

chownah

Here's what Wofram Alpha does with it. It even shows you the working if you click on the Show steps button...

http://www.wolframalpha.com/input/?i=13 ... B+52%2F111

Mike

http://www.wolframalpha.com/input/?i=13 ... B+52%2F111

Mike

Noone has to prove anything.

Everybody is free to prove everything.

There is no burden or obligation.

Everybody is free to prove everything.

There is no burden or obligation.

Bernoulli's spira mirabilis is beautiful indeed, but there's also a problem with it:

If we look at the points of the spiral on the cartesian coordinates:

x(θ) = r(θ)cosθ

y(θ) = r(θ)sinθ

The dependent variable (fruits/progress of meditation) greatly swing from negative to positive as the independent variable increases, a characteristic quite contrary to the expected behavior when there's an increase in the level of concentration..

Ok, how many models already.. Remember String theory used to have 5 competing versions until Ed Witten consolidated it into M-theory. So, we are not doing too too bad. We might have to give Ed a call though...

If we look at the points of the spiral on the cartesian coordinates:

x(θ) = r(θ)cosθ

y(θ) = r(θ)sinθ

The dependent variable (fruits/progress of meditation) greatly swing from negative to positive as the independent variable increases, a characteristic quite contrary to the expected behavior when there's an increase in the level of concentration..

Ok, how many models already.. Remember String theory used to have 5 competing versions until Ed Witten consolidated it into M-theory. So, we are not doing too too bad. We might have to give Ed a call though...

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