Articles — Math

This is the 6th project for Calc1 at Fitchburg State. Students are walked through the steps to justify the different pieces of the Fundamental Theorem of Calculus and make connections between the two parts.

A Wilson-tétel megfordításának bizonyítása.

Algebra Linear

Our goal is to derive a formula for the volume of n-dimensional balls in Rn.

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The main aim of this paper to establish the relations between forward, backward and central finite (divided) differences (that is discrete analog of the derivative) and partial & ordinary high-order derivatives of the polynomials.

Calculating the value of Ck ∈ {1, ∞} class of smoothness real-valued function's derivative in point of R+ in radius of convergence of its Taylor polynomial (or series), applying an analog of Newton's binomial theorem and q-difference operator. (P,q)-power difference introduced in section 5. Additionally, by means of Newton's interpolation formula, the discrete analog of Taylor series, interpolation using q-difference and p,q-power difference is shown.

A sample document with some code, useful packages, resources, and sample solution writeups to help Phillips Academy math students get started with Overleaf and LaTeX.

En este artículo se muestra el proceso de solución numérica del ejercicio N°40, página 544, del libro "Cálculo de un variable'', con la finalidad de cumplir los requerimientos para el trabajo final de modelación de la asignatura Cálculo Integral. Por medio de la aplicación de integrales, se determinará la ecuación para el cálculo de la longitud de un cable telefónico y se hallará la altura a la cual debe estar conectado el cable teniendo en cuenta la altura mínima de este respecto al suelo, y la distancia de separación entre ambos postes.