A combination of methods (such as Stirling approximation, gamma function, sum of geometric series, rational integrals...) in order to enlighten...
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
FEYNMANN INTEGRAL
In this article I make a supposition: relate the integal with its derivative (for which I must add a term Ln(1/Cosx))... I do not consider if it's...
DIGAMMA FUNCTION AND EULER-MASCHERONI CTNT.
Some general equalities in gamma functions and moreover, relations between Shannon Entropy and density of probability and Euler- Mascheroni...
ANALYSIS OF AN EXPONENTIAL FUNCTION
Treatment of exponential functions in order to clarify the curves knowing values (x1,y1), (x2,y2), (x3,y3), (x4,y4)... read more
LINE THROUGH A CIRCLE
A bit study between a circle and a line secant to it (including slopes, equation of a circle...)... read more
CASE OF LAPLACE TRANSFORM
Only a little fun to reach the unknown results in an laplace method and their precise integrals... read more
GROUP THEORY
Properties of groups. Applied to elements and obbey certain rules... read more
AREA OF THE CIRCULAR CONTOUR
It's only a curiosity. Relation between a square and its interior circle... read more
HOW TO SOLVE EQUATIONS WITH CUBIC, QUARTIC, QUINTIC ROOTS III
Finally my goal is demonstrate that some equalities work to dilucidate "x" from an equation of n-order. Maybe is compulsory to fix numbers at "a, b,...
BINOMIALS WITH EXPONENT FRACTIONARY III
A last give of fractionary exponents in which I use an equality of gamma function. I make use of it to calculate factorial functions... read more
HOW TO SOLVE EQUATIONS WITH CUBIC, QUARTIC, QUINTIC ROOTS II
A deeper study of combinations in order to dilucidate some roots in ordinary equations with erxponents greater than two... read more
HOW TO SOLVE EQUATIONS WITH CUBIC, QUARTIC, QUINTIC ROOTS I
A tricky set of equalities to isolate roots of some polinomials with exponents biggers than two... read more
EXPRESSION OF THE FACTORIAL AND STIRLING
Other equalities between factorials and gamma functions. Integrals solved with particular substitutions so as to achieve unknown properties... read...
DETERMINANTS AND JACOBIAN
Let's deepen in algebra and study matrix that help us to change coordinates (ex: from carteisan to polar ones). Is useful to calculate definite...
SET THEORY + CALCULUS OF SURFACES IN THERMS OF MATRIXS
If we remember arclength, the calculus of surfaces follow the same pattern: integer the different variables and operate algebraically them toghether...













