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Articles related to "mathematics"


The Uncertain Heavens: Christiaan Huygens’ Ideas of Extraterrestrial Life

  • One such source, as Hugh Aldersey-Williams explores, was Dutch astronomer, mathematician, and inventor Christiaan Huygens, whose earlier work on probability paved the way for his very modern evaluation of what alien life might look like.
  • It was then that Huygens began to write Cosmotheoros, a book-length speculation on the possibility of life on other planets, and the first such work to be based on recent scientific knowledge rather than philosophical conjecture or religious argument.
  • Diagram showing the orbiting moons of Earth, Jupiter, and Saturn from Huygens's The Celestial Worlds Discover'd (1722 English edition).
  • Huygens' discovery of Saturn's ring in 1656 demanded years of patient observation of the planet using a telescope of his own design (for which Christiaan and his brother Constantijn even ground the lenses themselves).

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Scientific Python With Lambda

  • In the last ten years, the Python programming language has brought itself into the minds of many in the domain of scientific computing.
  • As a result, Python’s syntax tends to differ a lot when compared with other scientific programming languages.
  • The lambda function is an anonymous function that takes a Pythonic expression as a parameter.
  • In Python, the lambda function is used to create a Pythonic expression without meta-parsing.
  • Although Python isn’t a language that was necessarily created with scientific computing in mind, it does fit the role quite well.
  • While Python’s version of this might not be as great as the Julian implementation, it goes to show that Python is a powerful and versatile language that can stand aside most others in the world of scientific computing.

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Scientific Python With Lambda

  • In the last ten years, the Python programming language has brought itself into the minds of many in the domain of scientific computing.
  • As a result, Python’s syntax tends to differ a lot when compared with other scientific programming languages.
  • The lambda function is an anonymous function that takes a Pythonic expression as a parameter.
  • In Python, the lambda function is used to create a Pythonic expression without meta-parsing.
  • Although Python isn’t a language that was necessarily created with scientific computing in mind, it does fit the role quite well.
  • While Python’s version of this might not be as great as the Julian implementation, it goes to show that Python is a powerful and versatile language that can stand aside most others in the world of scientific computing.

save | comments | report | share on


Scientific Python With Lambda

  • In the last ten years, the Python programming language has brought itself into the minds of many in the domain of scientific computing.
  • As a result, Python’s syntax tends to differ a lot when compared with other scientific programming languages.
  • The lambda function is an anonymous function that takes a Pythonic expression as a parameter.
  • In Python, the lambda function is used to create a Pythonic expression without meta-parsing.
  • Although Python isn’t a language that was necessarily created with scientific computing in mind, it does fit the role quite well.
  • While Python’s version of this might not be as great as the Julian implementation, it goes to show that Python is a powerful and versatile language that can stand aside most others in the world of scientific computing.

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The Computer Science of Human Decisions

  • When presented with this kind of problem, most people will intuitively say something to the effect that it requires some sort of balance between looking and leaping—that you must look at enough apartments to establish a standard, then take whatever satisfies the standard you’ve established.
  • Simple algorithms offer solutions not only to an apartment hunt but to all such situations in life where we confront the question of optimal stopping.
  • As Carl Sagan put it, “Science is a way of thinking much more than it is a body of knowledge.” Even in cases where life is too messy for us to expect a strict numerical analysis or a ready answer, using intuitions and concepts honed on the simpler forms of these problems offers us a way to understand the key issues and make progress.

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Finite of Sense and Infinite of Thought

  • There is nothing incidental, miraculous, surprising or “divine” in the relationship between computation, logic and algebra; rather, nothing is more creatively human than the process that led to their correlation, and while some things in mathematics are perhaps discovered, logic and algebra were invented, and rather than carrying an independent “foundational ontological force”, they were devised to describe a physical phenomenon (although I do not claim that the mathematical systems invented may not also correspond to some Truth).
  • In particular, I will show that computation, logic and algebra were studied as a single subject for most of their relevant history, related in the following way: human reason works by computation, logic is a description of the process of reasoning, and algebra is the mathematical modeling of logic.

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