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Finite Difference Schemes of One Variable
No full textFinite difference formulas are generated for a specified number of equally spaced nodes, a derivative node, and the order of the derivativeComponente Curricular::Educação Superior::Ciências Exatas e da Terra::Matemátic
3D Lambdoma
No full textThe 3D lambdoma frequency-ratio matrix is a tool used in harmonics-the study of ratio and proportion, quality, and quantity. This lambdoma reveals a union of arithmetic rows expanding from front to back, harmonic columns contracting from left to right, and geometric diagonals expanding from smallest center to largest top. The lambdoma is limited here to an index 16 that can grow astronomically; harmonic practice requires that any distant ratio be reduced or expanded to a lower index for comparison. The visible 1/1 diagonal separates ratios greater than 1 and less than 1. The exchange of all ratios on either side of this 1/1 diagonal produces a string length lambdoma because frequency is inversely proportional to string length. The object of this Demonstration is primarily visual, yet it may be useful to note that lambdoma frequency ratios are constructed from rows of the overtone series (1/1, 2/1, 3/1, 4/1, ...) combined with columns of the undertone series (1/1, 1/2, 1/3, 1/4, ...)Componente Curricular::Educação Superior::Ciências Exatas e da Terra::Matemátic
Potential Flow over a NACA Four-Digit Airfoil
No full textStreamlines and the surface pressure coefficient are plotted for potential flow over some members of the NACA four-digit family of airfoils. Each plot includes values for the lift coefficient and pitching moment coefficient about the leading edge. Camber and thickness of the airfoil are controlled by varying digits of the identification number. Controls are also available to digitize the airfoil for the numerical computation, and for the angle of attack the airfoil makes with the uniform onset flow. A panel method using straight-line vortex panels of linearly varying strength and external Neumann boundary conditions provides the numerical solution to the modelComponente Curricular::Educação Superior::Ciências Exata
Angles in a triangle total 180 degrees
No full textnoneNotice that the sum of the angles in a triangle is 180°, regardless of the positions of the verticesComponente Curricular::Ensino Fundamental::Séries Finais::Matemátic
Arithmetic in lambda calculus
No full textKnowlegde about Mathematical Logic and Computer ScienceShows the lambda calculus expressions for the indicated operationsComponente Curricular::Educação Superior::Ciências Exatas e da Terra::Matemátic
Proofs in multiway systems
No full textKnowlegde about Graph TheoryThis Demonstration allows the generation of "proofs" in the first axiom system shown on page 778 of A New Kind of Science, going from the initial string used there to any other ending string. The proof graphs generated (when the ending string is found within the maximum search depth) show alternative ways to go from the initial string to the ending string through the application of the string rewriting rulesComponente Curricular::Educação Superior::Ciências Exatas e da Terra::Matemátic
Gödelization
No full textMathematical LogicIn 1931 Kurt Gödel established a representation between a formal system and the set of natural numbers to prove his famous incompleteness theorem. An axiom or a proof is encoded by assigning to each symbol in the expression odd numbers as the powers of successive primes. The expression can be recovered by factoring the numberComponente Curricular::Educação Superior::Ciências Exatas e da Terra::Matemátic
The Bristol voyages
No full textIt is necessary to have some prior knowledge in EnglishThis audio presents the history of Canada, showing its people's culture, its main monumentsComponente Curricular::Ensino Médio::Língua EstrangeiraComponente Curricular::Educação Superior::Linguística, Letras e Artes::LetrasComponente Curricular::Ensino Médio::LiteraturaComponente Curricular::Ensino Fundamental::Séries Finais::Língua Estrangeir
The Arcsine Transformation of a Binomial Random Variable
No full textThe arcsine transformation converts a binomial random variable into one that is nearly normal and whose variance depends very little on the parameter p. If X is a binomial random variable with parameters n and p (so X models the number of heads in n tosses of a coin that is weighted to have probability p of landing heads), then Y=sin^(-1)(sqrt(X/n)) is the arcsine transformation of X. The distribution of Y is nearly normal with mean sin^(-1)(sqrt(p)) and variance 1/(4*n). The histogram in the image is the distribution of Y with the rectangle heights scaled so that the sum of their areas is one, and the black curve is the approximating normal density functionComponente Curricular::Educação Superior::Ciências Exatas e da Terra::Matemátic
Tangent Planes to Quadratic Surfaces
No full textFour different quadratic functions are used to define surfaces. You can vary the point of tangency.Componente Curricular::Educação Superior::Ciências Exatas e da Terra::Matemátic