An equation relating two complex variables z and w gives a transformation of a point P representing z in one Argand diagram to a point Q representing w in another Argand diagram. Example If zw+2w+z−2=0, show that as z moves along the imaginary axis,w describes the unit circle, i....
Lecture Notes Springer, n° 1028, (1983), p. 125–162. MathSciNet Google Scholar C.O.KISELMAN: The growth of restrictions of plurisubhasmonic functions (preprint). Google Scholar P.LELCNG: Sur les valeurs lacunaires d’une relation à deux variables. Bull. Sc. Math., t. 56, p....
Mathematics - Complex VariablesWe introduce the exciting field of complex dynamics at an undergraduate level while reviewing, reinforcing, and extending the ideas learned in an typical first course on complex analysis. Julia sets and the famous Mandelbrot set will be introduced and interesting ...
LePage, W.R.: Complex variables and the Laplace transform for engineers. Dover Publications (1980) Mahmoud, M.Y., Aravantinos, V., Tahar, S.: Formalization of infinite dimension linear spaces with application to quantum theory. In: Brat, G., Rungta, N., Venet, A. (eds.) NFM 2013...
student is exposed to some calculus of two variables, though, strictly speaking this is not necessary. I hope that as the course proceeds, the student acquires more and more sophistication. This book is the outcome of the lecture notes for the courses that I have taught at ...
We introduce a structural approach to study Lagrangian submanifolds of the complex hyperquadric in arbitrary dimension by using its family of non-integrable almost product structures. In particular, we define local angle functions encoding the geometry of the Lagrangian submanifold at hand. We prove th...
Using Adam to optimize directly on complex variables makes sense for problems which do have a genuinely complex structure, but I think it's going to be key to note in the docs that (1) lots of historical work is done by separately optimizing on the real and imaginary parts, and (2) op...
A strategist develops opinions on the future direction of a company and its brand, based on existing and predicted conditions, other known variables, intuition and research. –David Lyall, Creative Strategist A strategist uses big-picture thinking, storytelling, insights, criteria development tools and...
• Complexanalysis is a coresubject in pureand appl ied mathematics, aswel l asthe physical and engineering sciences.Whi le it is true that physical phenomena are given in terms of real numbers and real variables, it is often too di,cult and sometimes not possible, to solve the algebraic...
variables. As examples, we study the influence of the individual behaviour of animals in competition and predator-prey models. The animals are assumed to do many activities all day long such as searching for food of different types. The degree of competition as well as the predation pressure ...