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In economics exponential discounting is a specific form of the discount function, used in the analysis of choice over time (with or without uncertainty ). Formally, exponential discounting occurs when total utility is given by. where ct is consumption at time t, is the exponential discount factor, and u is the instantaneous utility function .
Hyperbolic discounting is mathematically described as. where g ( D) is the discount factor that multiplies the value of the reward, D is the delay in the reward, and k is a parameter governing the degree of discounting (for example, the interest rate ). This is compared with the formula for exponential discounting:
Production–possibility frontier. In microeconomics, a production–possibility frontier ( PPF ), production possibility curve ( PPC ), or production possibility boundary ( PPB) is a graphical representation showing all the possible options of output for two goods that can be produced using all factors of production, where the given resources ...
Desmos was founded by Eli Luberoff, a math and physics double major from Yale University, [ 3] and was launched as a startup at TechCrunch 's Disrupt New York conference in 2011. [ 4] As of September 2012, it had received around 1 million US dollars of funding from Kapor Capital, Learn Capital, Kindler Capital, Elm Street Ventures and Google ...
A good's price elasticity of demand ( , PED) is a measure of how sensitive the quantity demanded is to its price. When the price rises, quantity demanded falls for almost any good ( law of demand ), but it falls more for some than for others. The price elasticity gives the percentage change in quantity demanded when there is a one percent ...
A demand curve is a graph depicting the inverse demand function, [ 1] a relationship between the price of a certain commodity (the y -axis) and the quantity of that commodity that is demanded at that price (the x -axis). Demand curves can be used either for the price-quantity relationship for an individual consumer (an individual demand curve ...
Mathematical economics is the application of mathematical methods to represent theories and analyze problems in economics. Often, these applied methods are beyond simple geometry, and may include differential and integral calculus, difference and differential equations, matrix algebra, mathematical programming, or other computational methods ...
Exponential functions with bases 2 and 1/2. The exponential function is a mathematical function denoted by () = or (where the argument x is written as an exponent).Unless otherwise specified, the term generally refers to the positive-valued function of a real variable, although it can be extended to the complex numbers or generalized to other mathematical objects like matrices or Lie algebras.