منابع مشابه
Complex Integral
In this paper t denotes an element of R. The function R2 → C from R× R into C is defined as follows: (Def. 1) For every element p of R × R and for all elements a, b of R such that a = p1 and b = p2 holds (R2 → C)(〈a, b〉) = a+ b · i. Let a, b be real numbers, let x, y be partial functions from R to R, let Z be a subset of R, and let f be a partial function from C to C. The functor ∫ (f, x, y, a,...
متن کاملComplex Integral 1
In this paper t is an element of R. The function R2 → C from R× R into C is defined as follows: (Def. 1) For every element p of R × R and for all elements a, b of R such that a = p1 and b = p2 holds (R2 → C)(〈a, b〉) = a+ b · i. Let a, b be real numbers, let x, y be partial functions from R to R, let Z be a subset of R, and let f be a partial function from C to C. The functor ∫ (f, x, y, a, b, Z...
متن کاملComplex and Integral Laminated Lattices
In an earlier paper we studied real laminated lattices (or Z-modules) A„, where A, is the lattice of even integers, and A„ is obtained by stacking layers of a suitable (n — l)-dimensional lattice A„_, as densely as possible, keeping the same minimal norm. The present paper considers two generalizations: (a) complex and quaternionic lattices, obtained by replacing Z-module by /-module, where J m...
متن کاملAn “Airy” Image
A 30-year-old man presented with headache, vomiting, altered sensorium and seizures. There was no history of trauma or surgery. On examination, he was unconscious with signs of meningeal irritation and asymmetrical pupils. Computed tomography (CT) scan of brain revealed pneumocephalus. He died immediately after the CT scan. He was later found to be immunocompetent. Computed tomography scan (fig...
متن کاملSuper-Oscillating Airy Pattern
We demonstrate both theoretically and experimentally the generation of a tunable two-dimensional superoscillating optical field through the interference of multiple Airy beams. The resulting pattern exhibits self-healing properties for a set of sub-Fourier diffraction spots with decreasing dimensions. Such spatial optical fields might find applications in microscopy, particle manipulation, and ...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Nagoya Mathematical Journal
سال: 1976
ISSN: 0027-7630,2152-6842
DOI: 10.1017/s0027763000017335