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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 ...
The seven-year itch is a popular belief, sometimes asserted to have statistical validity, that happiness in a marriage or long-term romantic relationship declines after around seven years. [ 1 ] The phrase was used in the title of the 1952 play The Seven Year Itch by George Axelrod , and gained popularity following the 1955 film adaptation ...
Shephard's lemma is a result in microeconomics having applications in the theory of the firm and in consumer choice. [1] The lemma states that if indifference curves of the expenditure or cost function are convex , then the cost-minimizing point of a given good ( i {\displaystyle i} ) with price p i {\displaystyle p_{i}} is unique.
Econophysics is a non-orthodox (in economics) interdisciplinary research field, applying theories and methods originally developed by physicists in order to solve problems in economics, usually those including uncertainty or stochastic processes and nonlinear dynamics.
The midpoint theorem generalizes to the intercept theorem, where rather than using midpoints, both sides are partitioned in the same ratio. [1] [2] The converse of the theorem is true as well. That is if a line is drawn through the midpoint of triangle side parallel to another triangle side then the line will bisect the third side of the triangle.
The conjecture is that there is a simple way to tell whether such equations have a finite or infinite number of rational solutions. More specifically, the Millennium Prize version of the conjecture is that, if the elliptic curve E has rank r , then the L -function L ( E , s ) associated with it vanishes to order r at s = 1 .
The marginal cost of public funds (MCF) is a concept in public finance which measures the loss incurred by society in raising less revenues to finance government spending due to the distortion of resource allocation caused by taxation. [1]