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Circuito bateria resistor
No full textBasic concepts of electricity such as voltage , electric current, resistance and electric powerIt shows the relationship between resistance, voltage, electrical current and heat dissipated in the resistor. It shows in a simplified way, how the atoms interact with the electrons within the resistor. In addition to showing the direction of charge inside the batteryComponente Curricular::Ensino Médio::Físic
Newton's Method
No full textExplore Newton's method of root finding for several functions. Use the zoom slider to see more detail at three different levels of zoomComponente Curricular::Educação Superior::Ciências Exatas e da Terra::Matemátic
Simple Spline Curves
No full textClick and drag each of the four control points to see the effect on the form of the spline curves. Select either Bezier or Cubic splinesComponente Curricular::Educação Superior::Ciências Exatas e da Terra::Matemátic
Interpolating Polynomial
No full textThe interpolating polynomial is the polynomial of degree n-1 that goes through all n points. Move the points-or change the number of points-and see how the polynomial changesComponente Curricular::Educação Superior::Ciências Exatas e da Terra::Matemátic
3D Multipole Shapes
No full textAxially symmetric shapes and angular distributions can be parametrized in terms of their multipole components. Change the first few multipole moments and see the effectComponente Curricular::Educação Superior::Ciências Exatas e da Terra::Matemátic
Least Squares
No full textWhen a matrix A is square with full rank, there is a vector x that satisfies the equation Ax=b for any b. However, when A is not square or does not have full rank, such an x may not exist, because b does not lie in the range of A. In this case, called the least squares problem, we seek the vector x that minimizes the length (or norm) of the residual vector r=Ax-b. The four vectors Ax, b, r, and rmin are color coded and the plane is the range of the matrix A. The plane shown is the set of all possible vectors AxComponente Curricular::Educação Superior::Ciências Exatas e da Terra::Matemátic
Flower-like parametric plots
No full textThe curve is given parametrically by (sin(ax)cos(bx), sin(ax)sin(bx)). The points looks like electrons moving around the nucleus of an atomComponente Curricular::Educação Superior::Ciências Exatas e da Terra::Matemátic
The Hydraulic Press
No full textConcepts of pressure and notion of Pascal's principleThis simulation shows a hydraulic press. This mechanism consisting of two pistons with different areas ( and ), used for applying a large lifting or compressive force. Pascal's principle states that a change in the pressure of an enclosed incompressible fluid is conveyed undiminished to every part of the fluid and to the surfaces of its containerComponente Curricular::Ensino Médio::Físic
Local behavior of a polynomial near a root
No full textAlgebra, Analytic Geometry, Calculus, PolynomialsAll properties described only hold locally near the root. For example, a locally increasing function may decrease a short distance away.
If a is a root of the polynomial p(x), then p(x) can be factored as p(x) = (x-a)^n q(x), where n is a positive integer and q(x) is another polynomial without a root at a. The number n is called the degree of the root. If the roots of the polynomial are all real, the sum of the degrees of all the roots is the degree of the polynomial.
The local behavior of a polynomial p(x) at a root depends on whether the degree of the root is even or odd; the linear term of p(x) is positive, zero, or negative; and the sign of its leading coefficient is positive or negative – a total of twelve possible cases.
The higher the degree, the flatter the function near the root.
If the degree of the root is odd, there is an inflection point at the root. If the degree of the root is even, there is a maximum or minimum at or near the root.
Suppose the coefficient of the linear term is zero, so that the function has a critical point at the root. If the degree of the root is even, there is a minimum or maximum at the root, depending on whether the sign of x^n is positive or negative. If the degree of the root is odd, there is a flat inflection point at the root, and the function is nondecreasing or nonincreasing near the root according to whether the sign of the leading coefficient of p(x) is positive or negativeComponente Curricular::Educação Superior::Ciências Exatas e da Terra::Matemátic
The heifer and the ox
No full textIt is necessary to have some prior knowledge in EnglishThis is an Aesop's short story which brings some moral. It isn't the entire fable, but just the main idea of itComponente Curricular::Ensino Fundamental::Séries Finais::Língua EstrangeiraComponente Curricular::Ensino Médio::Língua EstrangeiraComponente Curricular::Ensino Médio::LiteraturaComponente Curricular::Educação Superior::Linguística, Letras e Artes::Letra