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Ender0183
ellipsis said:micromass: log? What are you, some kind of engineer?
A lumberjack ratherellipsis said:micromass: log? What are you, some kind of engineer?
Both e and pi are mathematical constants that play a crucial role in many mathematical equations and concepts. E is the base of the natural logarithm, while pi is the ratio of a circle's circumference to its diameter.
There are many reasons why e is considered to be a more useful constant than pi. Some of the top reasons include e's role in exponential growth and decay, its use in calculating compound interest, and its relationship to the derivative function in calculus.
E is used in the formula for calculating compound interest, which is a type of interest that is calculated on both the initial principal and the accumulated interest from previous periods. This is because e is the base of the natural logarithm, which is used to calculate continuous compounding.
E is used in the formula for calculating exponential growth and decay, which describes the rate at which a quantity changes over time. This is because e is the base of the exponential function, which is used to model this type of growth and decay.
The derivative function, which measures the instantaneous rate of change of a function, is closely linked to e. In fact, the derivative of e^x is e^x, making e a fundamental constant in the study of calculus and its applications.