Quantifying Life: A Symbiosis of Computation, Mathematics, by Dmitry A. Kondrashov

By Dmitry A. Kondrashov

Since the time of Isaac Newton, physicists have used arithmetic to explain the habit of topic of all sizes, from subatomic debris to galaxies. long ago 3 a long time, as advances in molecular biology have produced an avalanche of information, computational and mathematical ideas have additionally develop into invaluable instruments within the arsenal of biologists. yet whereas quantitative methods are actually delivering basic insights into organic structures, the school curriculum for biologists has now not stuck up, and so much biology majors are by no means uncovered to the computational and probabilistic mathematical techniques that dominate in organic research.

With Quantifying Life, Dmitry A. Kondrashov bargains an available advent to the breadth of mathematical modeling utilized in biology this day. Assuming just a beginning in highschool arithmetic, Quantifying Life takes an leading edge computational method of constructing mathematical abilities and instinct. via classes illustrated with copious examples, mathematical and programming workouts, literature dialogue questions, and computational tasks of varied levels of trouble, scholars construct and research versions in response to present examine papers and learn how to enforce them within the R programming language. This interaction of mathematical principles, systematically built programming abilities, and a extensive choice of organic learn issues makes Quantifying Life a useful advisor for pro existence scientists and the following iteration of biologists alike.

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The value of a quantity depends on the units of measurement, but its essential dimensionality does not. One can convert a measurement in meters to that in light-years or cubits, but one cannot convert a measurement in number of sheep to seconds—that conversion has no meaning. This leads us to the fundamental rule of mathematical modeling: terms that are added or subtracted must have the same dimension. This gives mathematical modelers a useful tool called dimensional analysis, which involves replacing the quantities in an equation with their dimensions.

001, and keep making them closer to each other, until R returns a difference of zero. Report at what value of the actual difference this happens. 2 variable assignment Variables in programming languages are used to store and access numerical or other information. After assigning it a value for the first time (initializing), a variable name can be used to represent the value assigned to it. Invoking the name of variable recalls the stored value from the computer’s memory. There are a few rules about naming variables: a name cannot be a number or an arithmetic operator like +; in fact, it cannot contain symbols for operators or spaces inside the name, or else confusion would reign.

Use the scientific notation to multiply four billion by π. 3. , 10100, 10500) to find out what happens when you give R a number that is too large for it to handle. At approximately what order of magnitude does R produce an overflow error? 4. In the same fashion, find out what happens when you give R a number that is too small for it to handle. At approximately what order of magnitude does R produce an underflow error? 5. How close can two numbers be before R treats them as identical? 001, and keep making them closer to each other, until R returns a difference of zero.

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