In this paper, we explore holomorphic Segre preserving maps. First, we investigate holomorphic Segre preserving maps sending the complexificationM of a generic real analytic submanifold M ⊆ C of finite type at some point p into the complexification M′ of a generic real analytic submanifold M ′ ⊆ C ′ , finitely nondegenerate at some point p. We prove that for a fixed M and M , the germs at (p, p̄...

In recent years, the interpretation of SAR images has been significantly improved with development deep learning technology, and using conditional generative adversarial nets (CGANs) for SAR-to-optical transformation, also known as image translation, become popular. Most existing translation methods based on are modified CycleGAN pix2pix, focusing style transformation in practice. addition, opt...

it is easily seen that a motion and a homothetic transformation are both affine collineations and that an affine collineation preserves the curvature tensor. In [l ] one of the present authors proved that in a space of nonzero constant curvature a mapping preserving curvature is a motion. For an Einstein space with nonzero curvature scalar, a mapping preserving Ricci curvature is a motion; for ...

An infinite word, which is aperiodic and codes the orbit of a transformation of the exchange of three intervals is called 3iet word. Such a word is thus a natural generalization of a sturmian word to a word over 3-letter alphabet. A morphism is said to be 3iet preserving if it maps any 3iet word to another 3iet word. It is known that the monoid of morphisms preserving sturmian words is finitely...

Abstract Industry 4.0 is largely data-driven nowadays. Owners of the data, on one hand, want to get added value from data by using remote artificial intelligence tools as services, other they concern privacy their within external premises. Ideal solution for this challenge would be such anonymization which makes safe in servers and, at same time, leaves opportunity machine learning algorithms c...

With the rapid development of data mining technologies, preserving privacy in certain data becomes a challenge to data mining applications in many fields, especially in medical, financial and homeland security fields. We present a class of novel privacy-preserving data distortion methods in collaborative analysis situations based on wavelet transformation, to keep the data privacy and data stat...

We investigate second order quasilinear equations of the form fijuxixj = 0 where u is a function of n independent variables x1, ..., xn, and the coefficients fij are functions of the first order derivatives p = ux1 , ..., p n = uxn only. We demonstrate that the natural equivalence group of the problem is isomorphic to SL(n+ 1, R), which acts by projective transformations on the space P with coo...

In this paper, we demonstrate how approximation structures called sufficient semirings can provide information about measure-preserving dynamical systems. We describe the basic properties of measure-preserving dynamical systems and illustrate their connections to sufficient semirings by investigating the dyadic adding machine.

We define a theory of noncommutative general relativity for canonical noncommutative spaces. We find a subclass of general coordinate transformations acting on canonical noncommutative spacetimes to be volume-preserving transformations. Local Lorentz invariance is treated as a gauge theory with the spin connection field taken in the so(3,1) enveloping algebra. The resulting theory appears to be...

A transformation–based method of circuit synthesis is proposed. A correct circuit is synthesized as a description similar to a netlist from a specification program, which is written in an ET program consisting of ET (equivalent transformation) rules. The circuit and the specification (the initial ET program) are equivalent finite state machines. The main part of the synthesis is equivalent tran...