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The midpoint method computes + so that the red chord is approximately parallel to the tangent line at the midpoint (the green line). In numerical analysis , a branch of applied mathematics , the midpoint method is a one-step method for numerically solving the differential equation ,
Given two points of interest, finding the midpoint of the line segment they determine can be accomplished by a compass and straightedge construction.The midpoint of a line segment, embedded in a plane, can be located by first constructing a lens using circular arcs of equal (and large enough) radii centered at the two endpoints, then connecting the cusps of the lens (the two points where the ...
In 2008 economist Andrew Naganoff (Russian: Эндрю Наганов) proposed an integral form of the equation of exchange, where on the left side of the equation is () under the integral sign, and on the right side is a sum from i=1 to .
The Curriculum Open-Access Resources in Economics Project (CORE Econ) is an organisation that creates and distributes open-access teaching material on economics. The goal is to make teaching material and reform the economics curriculum. [1] Its textbook is taught as an introductory course at almost 500 universities. [2]
The Mincer earnings function is a single-equation model that explains wage income as a function of schooling and experience. It is named after Jacob Mincer. [1] [2] Thomas Lemieux argues it is "one of the most widely used models in empirical economics". The equation has been examined on many datasets.
Under the standard assumption of neoclassical economics that goods and services are continuously divisible, the marginal rates of substitution will be the same regardless of the direction of exchange, and will correspond to the slope of an indifference curve (more precisely, to the slope multiplied by −1) passing through the consumption bundle in question, at that point: mathematically, it ...
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.
Equity premium puzzle: The equity premium puzzle is thought to be one of the most important outstanding questions in neoclassical economics. [6] It is founded on the basis that over the last one hundred years or so the average real return to stocks in the US has been substantially higher than that of bonds.
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