Algorithms can perform calculation, data processing and automated reasoning tasks.In programming, algorithms perform specific functions to complete required tasks.
The concept of algorithm has existed for centuries, however, a partial formalization of what would become the modern algorithm began with attempts to solve the Entscheidungs problem (the "decision problem") posed by David Hilbert in 1928. Subsequent formalizations were framed as attempts to define "effective calculability" or "effective method" those formalizations included the Gödel–Herbrand–Kleene recursive functions of 1930, 1934 and 1935, Alonzo Church's lambda calculus of 1936, Emil Post's "Formulation 1" of 1936, and Alan Turing's Turing machines of 1936–7 and 1939. Giving a formal definition of algorithms, corresponding to the intuitive notion, remains a challenging problem.
Through the years we reached the computational complexity theory!
The last is a branch of the theory of computation in theoretical computer science that focuses on classifying computational problems according to their inherent difficulty, and relating those classes to each other. A computational problem is understood to be a task that is in principle amenable to being solved by a computer, which is equivalent to stating that the problem may be solved by mechanical application of mathematical steps, such as an algorithm.
A few days ago and during the extremely successful meeting (''Digital Orthodontics'') , that was held in Athens-Greece, at FN Orthodontics (with the great presentations by Dr Santiago Penco Isaza and SDT Stefano Negrini ) I talked about the significant meaning of the algorithms.
And in our field, is really impressive how some of these algorithms are made and work.
A robust ''algorithm machine'', a fundamental digital tool.
''Digging'' deeper to all the knowledge levels of the software, fantastic applications are revealed.
We just applied our software to a very special patient. A well ''special trained dog''. Unfortunately we have no further permission to give details for the special ID of this patient and the field of his ''activities''.
Our friend lost a tooth during... a special training.
We just did the measurements we wanted, scheduled our plan , designed the teeth and at last we ''built a new one''.
I would like to thank my friend veterinary surgeon Dr Christos Grigoropoulos for his trust to my work. The case will be presented in winter time at the next Panhellenic Congress and we all will have the opportunity to learn about a very interesting therapy.
After all these information, a question is born: ''Are there any limits in digital orthodontics''? We just have to wait, observe and understand...The future through intelligent companies promises innovating changes to our life. And as my friend Stefano says ...''Think digital''...Personally I will complete the sentence: ''And act also digital''...
Till our next article...