### Recent Submissions

• #### Numerical Aspects of Multilateration for Volumetric Error Calculation ﻿

(MDPI, 2022-09-21)
We discuss two approaches to multilateration with a particular focus on numerical aspects for a given dataset. More precisely, we calculate the volumetric errors of the MCV 754 milling machine from the data measured by a ...
• #### Probing the Density Fine Structuring of the Solar Corona with Comet Lovejoy ﻿

(IOP Publishing, 2022-10-01)
The passage of sungrazing comets in the solar corona can be a powerful tool to probe the local plasma properties. Here, we carry out a study of the striae pattern appearing in the tail of sungrazing Comet Lovejoy, as ...
• #### Experimental analysis of microhardness changes of subsurface areas affected by WEDM ﻿

(Sage Publications, 2022-03-30)
The influence of the surface area by the impact of high temperatures after wire electric discharge machining (WEDM) is a known fact. However, the affected parameters also include a change in microhardness. In order to ...
• #### Production of precision slots in copper foil using micro EDM ﻿

(Springer Nature, 2022-03-23)
Elektroerozivní hloubení (EDM) je nekonvenční technologie obrábění. Umožňuje obrábět všechny alespoň minimálně elektricky vodivé materiály. Trend miniaturizace průmyslových výrobků je zřejmý. Je však třeba udržet požadovanou ...
• #### Physico-Chemical and Melissopalynological Characterization of Czech Honey ﻿

(MDPI, 2021-05-28)
Geographical and botanical origin of honeys can be characterized on the basis of physico-chemical composition, sensory properties and on the basis of melissopalynological analysis. No comprehensive description of the ...
• #### Identification of pollen taxa by different microscopy techniques ﻿

(PLOS, 2021-09-01)
Melissopalynology is an important analytical method to identify botanical origin of honey. Pollen grain recognition is commonly performed by visual inspection by a trained person. An alternative method for visual inspection ...
• #### Mathematical Principles of Object 3D Reconstruction by Shape-from-Focus Methods ﻿

(MDPI, 2021-09-01)
Shape-from-Focus (SFF) methods have been developed for about twenty years. They able to obtain the shape of 3D objects from a series of partially focused images. The plane to which the microscope or camera is focused ...
• #### Best response dynamics in waste-to-energy plants' price setting problem ﻿

(IOP Publishing, 2021-10-31)
This paper deals with the task of waste energy recovery and effective price setting of waste-to-energy plants. Its main contribution is the invention of a new approach to pricing of waste disposal in a particular waste ...
• #### Quartic polynomials with a given discriminant ﻿

(De Gruyter, 2022-02-21)
Let $0\ne D \in \Bbb Z$ and let $Q_D$ be the set of all monic quartic polynomials $x^4 +ax^3 +bx^2 + cx + d \in \Bbb Z[x]$ with the discriminant equal to $D$. In this paper we will devise a method for determining the set ...
• #### On jet like bundles of vector bundles ﻿

(Mathematical Society of Serbia, 2021-11-01)
We describe completely the so called jet like functors of a vector bundle E over an m-dimensional manifold M, i.e. bundles FE over M canonically depending on E such that F(E-1 x(M) E-2) = FE1 x(M) FE2 for any vector bundles ...
• #### Maxwell Points of Dynamical Control Systems Based on Vertical Rolling Disc-Numerical Solutions ﻿

(MDPI, 2021-07-12)
We study two nilpotent affine control systems derived from the dynamic and control of a vertical rolling disc that is a simplification of a differential drive wheeled mobile robot. For both systems, their controllable Lie ...
• #### Connections in control strategy ﻿

We present an infinitesimal interpretation of the control theory, particularly of the part concerning dynamic systems. We use the original concept of a bundle connection, which lies in the idea of fibre transportation along ...
• #### Multi-Scale Gaussian Normalization for Solar Image Processing ﻿

(Springer, 2014-08-01)
Extreme ultra-violet images of the corona contain information over a wide range of spatial scales, and different structures such as active regions, quiet Sun, and filament channels contain information at very different ...
• #### Existence and exact multiplicity of positive periodic solutions to forced non-autonomous Duffing type differential equations ﻿

(Bolyai Institute, University of Szeged, 2021-09-08)
The paper studies the existence, exact multiplicity, and a structure of the set of positive solutions to the periodic problem u''=p(t)u+q(t,u)u+f (t); u(0)=u(\omega), u'(0)=u'(\omega), where p, f\in L([0,\omega]) and q : ...
• #### Discrete Riccati matrix equation and the order preserving property ﻿

(Elsevier, 2021-02-03)
It is known that if a symmetric matrix differential equation has the order preserving property and the matrix dimension is at least 2, then this equation is the Riccati matrix differential equation (see A.N. Stokes, A ...
• #### Cube-root-subgroups of SL_2 over imaginary quadratic integers ﻿

(Vladimir Andrunakievich Institute of Mathematics and Computer Science, 2021-09-01)
All cube roots of the identity in the special linear group of $2\times 2$-matrices with entries in the ring of integers in $\mathbb Q[\sqrt{d}]$ are described. These matrices generate subgroups of the third order; it is ...
• #### Identifying the Coronal Source Regions of Solar Wind Streams from Total Solar Eclipse Observations and in situ Measurements Extending over a Solar Cycle ﻿

(IOP PUBLISHING LTD, 2021-04-12)
This letter capitalizes on a unique set of total solar eclipse observations acquired between 2006 and 2020 in white light, Fe xi 789.2 nm (T-fexi = 1.2 0.1 MK), and Fe xiv 530.3 nm (T-fexiv = 1.8 0.1 MK) emission complemented ...