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My main research focus is a tiny but long term research project: the **Transverse Mathematics** **Trial (TMT)** targeting undergraduates and applied sciences:

- Target strategy: explore transverse mathematics’ architectures relying on undergraduate mathematics to facilitate their use in applied sciences and engineering.
- The
**TMT’s**foundation is based on a sequence-centrics approach including:- cross-disciplines interfaces with sequences, linear algebra and analysis
- Using Aristotle’s potential infinite and Kronecker-like extensive use of natural integers to facilitate the reuse for computing ans applied science
- Discrete reals: constructions of all real numbers based on integers

- The methodology is to diagnose or develop cross-disciplines interfaces (finite and infinite) between Mathematics objects/theories
- With the challenging constraints:
- Keep it simple by using simple Mathematics easy to understand for scientists and Mathematics’ undergraduates.

- This means:
- Looking at the Interface between numbers and infinity:
- Proving infinity is not a number and not included in any set of numbers
- Proposal about infinity as a non-number
- While Having a look at: Kronecker’s, Hilbert’s and Broower’s finitism

- Proving infinity is not a number and not included in any set of numbers
- Introducing the interface between a set and its related sequences
- Working on half angles:
- Discovering New Sequence of Pi integral formulas based on iterated half angles (iterated half disc quadrant) by combining geometry and calculus
- Writing new PI estimation series based on nested square roots of 2 and give formal error

- Contructing real numbers with Einbu’s and modified Einbu’s bijection
- Promoting a versatile sequence theory compatible with potential infinity
- GNU Octave: applied examples for education purpose

- Looking at the Interface between numbers and infinity:
- From 2027: publishing hidden work about applied information Theory for noiseless source coding and Shannon’s entropy

A successful outcome to this project would be, by 2030, to find useful transverse mathematics applications in computing and/or VLSI circuits

Professional mathematicians interested to give a constrictive hand to the **Transverse Mathematics Trial ** : please send an email to **transverse@boldrift.com**