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  2. Midpoint method - Wikipedia

    en.wikipedia.org/wiki/Midpoint_method

    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 ,

  3. Numerical methods for ordinary differential equations

    en.wikipedia.org/wiki/Numerical_methods_for...

    Ordinary differential equations occur in many scientific disciplines, including physics, chemistry, biology, and economics. [1] In addition, some methods in numerical partial differential equations convert the partial differential equation into an ordinary differential equation, which must then be solved.

  4. Shephard's lemma - Wikipedia

    en.wikipedia.org/wiki/Shephard's_lemma

    Shephard's lemma is a major 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.

  5. List of Runge–Kutta methods - Wikipedia

    en.wikipedia.org/wiki/List_of_Runge–Kutta_methods

    On Padé approximations to the exponential function and A-stable methods for the numerical solution of initial value problems (PDF) (Thesis). Hairer, Ernst; Nørsett, Syvert Paul; Wanner, Gerhard (1993), Solving ordinary differential equations I: Nonstiff problems , Berlin, New York: Springer-Verlag , ISBN 978-3-540-56670-0 .

  6. Reduced form - Wikipedia

    en.wikipedia.org/wiki/Reduced_form

    In econometrics, the equations of a structural form model are estimated in their theoretically given form, while an alternative approach to estimation is to first solve the theoretical equations for the endogenous variables to obtain reduced form equations, and then to estimate the reduced form equations.

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    The claim: Donald Trump can't travel to Canada because he is a convicted felon. A Dec. 3 Threads post (direct link, archive link) offers a theory as to why Canadian Prime Minister Justin Trudeau ...

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    It's on sale for $130 and provides a reading experience similar to paperback books. When it comes to Cyber Monday deals under $100, Amazon's got the market covered there, too.

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    A new study found that Americans 40 and older could live over five years longer if they exercised as much as the top 25% of the population. Here's what to know.

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