Is There a Derivative for Our Own Lives?

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SUMMARY

This discussion explores the metaphorical application of calculus, specifically derivatives, to personal life experiences. Participants suggest that life can be viewed through mathematical principles such as slope, feedback loops, and regular functions. The conversation highlights the complexity of human behavior compared to mathematical functions, emphasizing that while calculus provides a framework for understanding change, real-life situations are often chaotic and unpredictable. Recommendations include the book "Psychocybernetics" by Maxwell Maltz for applying feedback principles to life.

PREREQUISITES
  • Understanding of basic calculus concepts, including derivatives and slopes.
  • Familiarity with feedback theory and its applications.
  • Knowledge of the relationship between mathematical functions and real-life scenarios.
  • Awareness of the psychological implications of self-examination and behavior adjustment.
NEXT STEPS
  • Research "Psychocybernetics" by Maxwell Maltz for insights on applying feedback principles to personal growth.
  • Explore feedback theory in depth, particularly its mathematical foundations and applications.
  • Study the concept of slope in calculus and its metaphorical implications for life satisfaction.
  • Investigate the differences between discrete and continuous functions in the context of personal experiences.
USEFUL FOR

This discussion is beneficial for psychologists, life coaches, educators, and anyone interested in applying mathematical concepts to personal development and understanding human behavior.

  • #31
This was not a troll question. It's only a General Discussion type question.

I'm sure anyone who has studied Calculus has at some point applied some of the principles to their own life, probably to relate to it and understand it better.

That's hardly controversial.
 
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  • #32
Oh there you are! Do forgive me, the question had the earmarks of a "set up" where the poster would come back and say something like "all aspects of life ultimately derive down to one constant, [deity]" Glad to see that's not the case. Though it was a good response thread...

Well then you deserve an honest answer to your question... ahem...

no. I find myself applying calculus principles all the time, but only to figure out quantifiable problems. The core of calculus requires that you know the functions, the proportionalities, of interacting variables. Although our biophysical responses in our brains could be ultimately described as functions, they'd be so complicated and inter-dependent with outside variables they'd be unpredictably chaotic. A simple task such as choosing a toothpaste would be described as the most complicated differential equation
Edward Witten has ever seen.
 
  • #33
But isn't the thread closed if it remains within its proper bounds?
 
  • #34
""I'm sure anyone who has studied Calculus has at some point applied some of the principles to their own life, probably to relate to it and understand it better. ""

Calculus is logical. Human behavior is illogical.

Life is lived forward but understood backward , so in that regard life is a feedback loop.

Math of feedback loops is its own field and i find feedback theory far more directly applicable to life than is calculus, though feedback is pretty intense in its use of calculus..

I recommend "Psychocybernetics" by Maxwell Maltz. It is a book that suggests applying feedback principles to everyday life.
https://www.amazon.com/dp/0671700758/?tag=pfamazon01-20

Also TI's introduction to feedback,
http://www.ti.com/lit/ml/sloa077/sloa077.pdf

If A describes one's behavior
and B describes self examination and adjustment of behavior

feedback theory says the result is A / (1 + A*B) which will be normally smaller than A.

so when life is undergoing wild and crazy swings, i apply some introspection and feedback.


old jim
 
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  • #35
One math principle that might apply to life is the slope. If your life is going poorly, you have a negative slope. If your life is going well, you have a positive slope.
 
  • #36
mathscience said:
One math principle that might apply to life is the slope. If your life is going poorly, you have a negative slope. If your life is going well, you have a positive slope.

what's the function who's slope is happiness? Environmental conditions?
 
  • #37
what's the function who's slope is happiness?

kindness.
it transcends, for like ex it's the same as its derivative..


"Kindness can become its own motive. We are made kind by being kind."
Eric Hoffer
 
  • #38
Please, no drinking and deriving.
 
  • #39
i toss and turn at night, because of Rolle's theorem.
 
  • #40
Saladsamurai said:
Please, no drinking and deriving.

You better not get a Randomized Breadth Test while you derive...
 
  • #41
Rolle rocks !
 
  • #42
Saladsamurai said:
Please, no drinking and deriving.
You could have a nasty accident. End up in L'Hôpital.
 
  • #43
If you want to buy some nice clothes, I heard the taylor has some new series.
 
  • #44
:smile:
 
  • #45
drizzle said:
:smile:

How dare you make a post in this thread without a math pun?? I'm going to have to infract you now.

Yes, I'm your average meanie.
 
  • #46
micromass said:
How dare you make a post in this thread without a math pun?? I'm going to have to infract you now.

Yes, I'm your average meanie.

We'll have to try harder to integrate her into PF society.
 
  • #47
:smile::cry::smile::smile:
 
  • #48
This thread is showing signs of regression. Makes me want to rise up and run away.
 
  • #49
lisab said:
This thread is showing signs of regression. Makes me want to rise up and run away.

Sines of regression??
 
  • #50
We're diverging from the original topic, I'm a-frayed.
 
  • #51
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  • #52
awesome
 
  • #53
Haha, funny. Though, I would like to know the rest of the story :p
 
  • #54
Tyrannysaurus fex ?
 
  • #55
drizzle said:
Haha, funny. Though, I would like to know the rest of the story :p

For what it's worth, \frac{\partial}{\partial x} (y^x) = y^x \ln(y).

Poor Mr. y^x would be pooped out a different size if y > 1 (although remain the same size in the special case where y = e), become mauled and eaten if y = 1, become negative and pooped out a different size if 0 < y < 1, or become complex if y < 0 (and who knows what that would be like).

[Edit: Deleted the whole y = 0 possibility. That doesn't even make any sense in the first place.]
 
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  • #56
:biggrin:
 

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