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Ioannis N. Galidakis (born 1964) is a Greek mathematician, programmer, lab spectroscopist and amateur baroque composer. In mathematics he has worked in the areas of Complex and Real analysis. In programming, he has worked both as an independent contractor and under Apple Computer in Greece localizing system software. In spectroscopy, he is known for his large data collection of spectra of elements and common light sources. Euclid, a famous Greek mathematician known as the father of geometry, is shown here in detail from The School of Athens by Raphael. ...
Complex analysis is the branch of mathematics investigating functions of complex numbers, and is of enormous practical use in many branches of mathematics, including applied mathematics. ...
Real analysis is that branch of mathematical analysis dealing with the set of real numbers and functions of real numbers. ...
Computer programming (often simply programming) is the craft of implementing one or more interrelated abstract algorithms using a particular programming language to produce a concrete computer program. ...
Apple Computer, Inc. ...
Extremely high resolution spectrum of the Sun showing thousands of elemental absorption lines (fraunhofer lines) Spectroscopy is the study of spectra, that is, the dependence of physical quantities on frequency. ...
Mathematics In mathematics, Galidakis is doing extensive research on Tetration. Early results include series expansions for the finite and infinite hyperpower function, while later results include solving the problem of determining the regions of convergence of the periodic iterated exponential, using an infinite class of complex analytic multi-valued functions which generalize Lambert's W function. The latest results generalize the convergence of the iterated exponential in the space of Quaternions, by generalizing Lambert's W function in that space. Tetration (also exponential map, hyperpower, power tower, super-exponentiation, and hyper4) is iterated exponentiation, the first hyper operator after exponentiation. ...
As the degree of the taylor series rises, it approaches the correct function. ...
Tetration (also exponential map, hyperpower, power tower, super-exponentiation, and hyper4) is iterated exponentiation, the first hyper operator after exponentiation. ...
In the absence of a more specific context, convergence denotes the approach toward a definite value, as time goes on; or to a definite point, a common view or opinion, or toward a fixed or equilibrium state. ...
In mathematics, a periodic function is a function that repeats its values after some definite period has been added to its independent variable. ...
Complex analysis is the branch of mathematics investigating functions of complex numbers. ...
This diagram does not represent a true function; because the element 3, in X, is associated with two elements b and c, in Y. In mathematics, a multivalued function is a total relation; i. ...
In mathematics, Lamberts W function, named after Johann Heinrich Lambert, also called the Omega function or product log, is the inverse function of where ew is the exponential function and w is any complex number. ...
In mathematics, the quaternions are a non-commutative extension of the complex numbers. ...
Computer Programming In programming, Galidakis has done localizing work for Apple Computer in Greece and has produced free antivirus software for the Macintosh. His latest program, Virtual Composer was concurrently created while he was working at the University of Crete, to investigate alternate musical temperaments and the advanced sequencing capabilities of QuickTime. Software localization is a process of translating software user interfaces from one language to another and adapting it to suit a foreign culture. ...
Ðntivirus software consists of computer programs that attempt to identify, thwart and eliminate computer viruses and other malicious software (malware). ...
The first Macintosh computer, introduced in 1984, upgraded to a 512K Fat Mac. ...
In music, there are two common meanings for tuning: Tuning practice The act of tuning an instrument or voice. ...
In the field of electronic music, a sequencer was originally any device that recorded and played back a sequence of control information for an electronic musical instrument. ...
QuickTime is a multimedia technology developed by Apple Computer, capable of handling various formats of digital video, sound, text, animation, music, and immersive panoramic (and sphere panoramic) images. ...
Spectroscopy In spectroscopy, Galidakis has collected a large body of spectroscopic data, mainly emission spectra from various light sources, which are used as a reference by various educational and research institutions. A materials emission spectrum is the amount of electromagnetic radiation of each frequency it emits when it is heated (or more generally when it is excited). ...
Prism splitting light Light is electromagnetic radiation with a wavelength that is visible to the eye, or in a more general sense, any electromagnetic radiation in the range from infrared to ultraviolet. ...
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