User:Infix Operator

Infix Operator
— Wikipedian ♂ —
Born	1997
Pronouns	He/Him
Nationality	Hungarian
Country	Hungary
Current location	Budapest, Pest county
Current time	It is 2:35 PM where this user lives. (Purge)
Personality type	INTJ
Education and employment
Occupation	Medical Clerk
Userboxes
	This user is a computer scientist.
	This user somewhat understands quantum computing.
	This user survived an infection of; COVID-19.
	This user is neurodivergent.
	This user is Leibnizian.
	This user is interested in fractals.
	This user prefers logic symbols over verbal language.
3×3=10	This user likes nonary.
	This user knows 10 digits of pi.
	This user is approximately normal.
	This user understands that correlation does not imply causation.
	This user understands biological evolution and accepts it as a scientifically established fact.
	This user is interested in linguistics.
	This user knows that; Science Matters.
	This user thinks, therefore he exists.
	This user likes Gottlob Frege.
ƨbɿɒwʞɔɒd ϱniqγϯ ƨγoįnɘ ɿɘƨυ ƨiʜT	ƎЯ

Wikipedia:Babel

hu

Ennek a szerkesztőnek magyar az anyanyelve.

en-2

This user can contribute with an intermediate level of English.

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Introduction

Hello Visitor,

My nickname here is Infix Operator. In my language, in Hungarian, I'm Kristof but foreigners usually call me simply Chris. I live in Budapest, Hungary. I'm a graduated computer scientist and applied mathematician.

I'm a newbie among the registered wiki users and editors.

This is only a personal user page. Don't take it too serious like a resume, github or linkedin page.

I will extend my description with further details sooner...

Bests,
Infix Operator

Favorite wiki pages

The list of my favorite wiki pages by topic that inspired me is:

Mathematicians and scientists I respect for their work:

Newton and Leibniz for the fundamentals of the differentiation
Rózsa Péter and Wilhelm Ackermann for working on the Ackermann function and hyperoperators.
Torsten Carleman for Carleman matrices which can represent functions such that ${\textstyle M[f^{\circ \alpha }\circ g^{\circ \beta }]=M[f]^{\alpha }M[g]^{\beta }}$
Hellmuth Kneser and Pierre Fatou for the work of the functional roots of exp which was a great step to the tetration
Ernst Schröder and Niels Henrik Abel for their function equations that help to find functional roots of functions
Stephen Wolfram for his breakthrough innovations
Paul Erdős and John von Neumann who are from my country, too.

Favorite Fractals

So many popular fractals can found. I also made one for which I extended the bitwise operator XOR for real radixes. That is, not only radix 2 but a continuous extension can be seen in the following self-made artwork:

[image]

My childhood

When I was at the age of 12 years, I could say the first 10 powers of 5, I knew the complex number somewhat: with the knowledge of the multiplication rule of complex number was enough for me to determine the square root of the imaginary unit without the usage of angular for or the other formulas. At this age I also made the three formulas for calculating the area of regular polygons when only two data was given from triplet of the radius, length of side and the inner angles between the sides. I also could determine simple derivatives and calculate simple integrals. I was interested in linear algebra as well. But my favorite topic could be the tetration and general hyperoperators.

At my age of 13 years, I tried to describe one of my favorite problem I have never been solved yet: extend the hyperoperators ${\textstyle a[x]b=a[x-1](a[x](b-1))}$ for real or complex numbers, simply to say, what is between the integer-leveled operators like multiplication and exponentiation. By fixing the two operands a and b of the hyperoperator, leaving the middle variable x free, how the plot of the function could look like?

After more than a decade, I could not find or give any satisfying answer for my question. I have still not give it up, and I'm still working on this problem...

Interesting side results

During my research, I explored a lot of amazing thing. The most of them may not be interesting for the most of people but a really few of them, but I still can share some of them.

Easy practice for determining tetration, pentation and hexation, and their inverse functions with the usage of Carleman matrices
Superation of cosine
So-called operator-calculus including the operators of functional exponentiation and functional logarithm of functions, its polynomial forms
The Carleman matrices of operators
Functional series of functions
Carleman tensors which is the extension of Carleman matrices but for mutli-variable functions
A tensor algebra in which the rank of tensors are hold during the tensor products and inverses
Etc.

Sadly I'm still far from the extended hyperoperators...

Handshakes

I shook hand with

Gyula J. Obádovics at BME in 2026 whose books influenced me in my childhood
someone who shook hand with George Soros at CEU
Gábor Czédli, Tibor Csendes, Júlia Goldman, etc. at SZTE between 2018 and 2021
Ákos Jobbágy at BME, and László Szeidl, Aurél Galántai at ÓE

No physical handshakes but being proud for exchanging emails or having calls with:

Henryk Trappmann, Gottfried Helms and Dmitrii Kouznetsov who worked on the extended hyperoperators, too
István Szalay from SZTE

It also means that I am three handshakes away from the most of prominent political leaders. Think it over if you wish to shake my hand or not ;)

Universal languages

I am a fan of the following linguistic masterpieces:

the so-called universal language
the so-called Solar Hungarian by Vilmos Horváth
the Old Hungarian script
the Begriffsschrift by Gottleb Frege
the fictive Heptapod languages languages can be seen in the Arrival movie

Further things

I will write it later...

...

References