In a 3-D curved space, vectors that define points althrough x, y, z change aspect, thus its rest (or Ricci value) differs from zero... read more
My view of science
Publications made in the clearest and most synthesized way possible (numerical language is international). Choose the one you want to visit. They may contain bugs, so if you spot any, please let me know
LINE SECANT TO A CIRCLE II
Mix up between algebra and trigonometrics to solve the equation of a secant... read more
GROUP THEORY
Simply buils a square divided into files and columns to obtain all the possible combinations according to a specific operator (sum, product,...)....
CALCULUS OF VOLUMES AND HYPERVOLUMES
There is a great formula to calculate sphere volumes n>3: hypervolume. I do not demonstrete it but I recall it's usefull... read more
AREA CALCULUS OF A FIGURE STARTING WITH APOTHEM
Realyzing that an apothem is a distance between the middle of a side and the coordinates origin. Every figure does possess an apothem, and its area...
PERRON FROBENIUS OPERATOR
Algebra, vectors, matrix, canonic basis, operators, Schrödinger equation... all them joined to calculate Energy, time, wave-functions... read more
EXPONENTIAL FUNCTION
Starting with a tricky function "y", let's try to find another aspect of it by using the classical Taylor Serie. The coefficients of each y^n...
F FUNCTION EXPRESSED IN GEOMETRIC SERIE
Once again I use the Taylor Serie for a purpose: expand a function. First I calculate f^0(x), f^1(x), f^2(x)...in x=0. At the same time I expand a...
DEMONSTRATION FORMULA OF INTEGRALS BY ALEMÁN METHOD + DEMONSTRATION FORMULA OF SOLVING INTEGRAL “BY PARTS”
Is extremely easy; I only check the method to understand where it comes from... read more
CALCULUS OF SURFACES
We now deep in calculus of surfaces (this time we deal with cartesian coordinates: t, x1, x2 ) moreover the definite integral will contain 3 terms...
ARCLENGTH= CALCULUS OF DISTANCES
Using the definite integral and the "infinitessimal" Pitagores theorem we can work out the distance of a line ora curve from "a" to "b"... read...
BINOMIAL WITH FRACTIONARY EXPONENTS IV
Make a table (1: nº therm, 2: sum of coefficients, 3: sum of exponents) of the whole expansion of binomial of Newton, in order to approach a method...
TAYLOR SERIES OF TANGENT
Knowing the Sinx and Cosx series, I can expand tgx by using Taylor Series or by using the Basilea problem method of Euler... read more
CIRCULAR OUTLINE AREA
it may seem obvious and pointless but at least it's funny... read more
Mandelbrot Dimensions
Knowing that in a “euclidean” 1- dimension plane: . read more
