Using The Taylor Serie to discover others paths of represent non-obvious functions such as f(x)=Ln(Sinx)... 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
TRIANGULAR AND INVERSE INEQUALITIES
Leading some information about vectors and algebra that have utility in solving "contour integrals", distances of vectors, or whatever... read more
FUNCTION WITH EXPONENTS
A pencil-made method to represent the Taylor Serie of a function: y=(e^-ax)/1-e^-ax)... read more
“NORMAL VECTOR” RESPECT TO A PLANE
"Give light to" some algebra concepts; normal vectors, unitary vectors, canonic basis... read more
TAYLOR SERIES IN PARTIAL DERIVATIVES
According to the expression of Taylor Series upon partial derivatives we can make a fusion of both to obtain elegan equalities... read more
APOTHEMAS AND AREAS OF DIFFERENT FIGURES
Curious method that bonds the volume derivative with its area (enhances all the figures I can imagine only by enrolling its apotheme in a specific...
CALCULUS OF ARCLENGTH, SURFACES…
A complex system of calculus (as usuall) in which dimensions are responsible in order to find the correct expression of Lines, Surfaces, Volumes......
FACTORIAL
Tricky equalities in the " field" of factorials. They are uncommon but mathematically true... read more
APOTEMA
How to calculate areas of closed surfaces using an "apotema's rule". It's an extract of a theorem in which Area'(s)= r.Length(s) where r= radius and...
TAYLOR AND PARTIAL DERIVATIVES
Expansion of the Taylor Serie using two variables: x , y. So the derivative of the function will be more difficult because we must use partial...
PARTIAL DERIVATIVES IN 3-D
An expansion about the knowledge of the tangent line in a 3-D surface. The different parts of the lengths give an idea of the meaning of a...
DERIVATIVES IN 3-D
A new way to comprehend the partial derivatives of a function(x,y). Either x-z or y-z are perpendicular between them and the result, if the...
BINOMIALS WITH FRACTIONAL EXPONENTS I
Tricky expressions and not common classic solutions using logical laws. I establisha new form to solve Newton Binomials with fractionary...
EQUALITY IN AREAS
There is a general law in mathematics that equals areas inscribed in polyhedrons with the same perimeter value... read more
STUDY ON VERTIGO
Analyzing the slope, the length, the highness, the speed of a person in a path and its direction (as well as the different angles), the vertigo as a...
