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favourite function


gwnn

What is your favourite mathematical function  

42 members have voted

  1. 1. What is your favourite mathematical function

    • 0
      3
    • constant
      0
    • linear
      3
    • polynomial
      2
    • sine
      2
    • cosine
      2
    • other trigonometric/inverse trigonometric
      0
    • hyperbolic
      3
    • some set of orthogonal polynomials
      1
    • other special functions
      5
    • weierstrass function
      2
    • something else
      7
    • WTF gwnn?
      12


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Alright, exponential function is right up there in second place, but it was not on the list???

of course not, albert bartlett said the greatest shortcoming of humankind is its inability to undertand the exponetial function

 

no one likes it :)

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http://www.kurzweilai.net/articles/art0134.html?printable=1

 

 

 

An analysis of the history of technology shows that technological change is exponential, contrary to the common-sense "intuitive linear" view.

 

 

So we won't experience 100 years of progress in the 21st century -- it will be more like 20,000 years of progress (at today's rate). The "returns," such as chip speed and cost-effectiveness, also increase exponentially.

 

 

 

Within a few decades, machine intelligence will surpass human intelligence, leading to The Singularity -- technological change so rapid and profound it represents a rupture in the fabric of human history. The implications include the merger of biological and nonbiological intelligence, immortal software-based humans, and ultra-high levels of intelligence that expand outward in the universe at the speed of light.

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http://www.kurzweilai.net/articles/art0134.html?printable=1

 

 

 

An analysis of the history of technology shows that technological change is exponential, contrary to the common-sense "intuitive linear" view.

 

 

So we won't experience 100 years of progress in the 21st century -- it will be more like 20,000 years of progress (at today's rate). The "returns," such as chip speed and cost-effectiveness, also increase exponentially.

 

 

 

Within a few decades, machine intelligence will surpass human intelligence, leading to The Singularity -- technological change so rapid and profound it represents a rupture in the fabric of human history. The implications include the merger of biological and nonbiological intelligence, immortal software-based humans, and ultra-high levels of intelligence that expand outward in the universe at the speed of light.

you've been reading a lot of Vernor Vinge's works I see :D

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