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Here, we propose a microfluidic paper-based analytical device (mu PAD) implemented with a near-field communication (NFC) tag as a portable, simple and fast colorimetric method for glutathione (GSH) determination. The proposed method was based on the fact that Ag+ could oxidize 3,3';,5,5'-tetramethylbenzidine (TMB) into oxidized blue TMB. Thus, the presence of GSH could cause the reduction of oxidized TMB, which resulted in a blue color fading. Based on this finding, we developed a method for the colorimetric determination of GSH using a smartphone. A mu PAD implemented with the NFC tag allowed the harvesting of energy from a smartphone to activate the LED that allows the capture of a photograph of the mu PAD by the smartphone. The integration between electronic interfaces into the hardware of digital image capture served as a means for quantitation. Importantly, this new method shows a low detection limit of 1.0 mu M. Therefore, the most important features of this non-enzymatic method are high sensitivity and a simple, fast, portable and low-cost determination of GSH in just 20 min using a colorimetric signal., BBVA Foundation, European Commission European Commission Joint Research Centre H2020-MSCA-IF-2017-794885-SELFSEN, Spanish Government PID2019-103938RB-I00 PID2020-117344RBI00, Junta de Andalucia BFQM-243-UGR18 P18-RT-2961, European Commission

In modern university practice, lecturers tend to use new technology. Mathematics lecturers are no exception. Although the opportunities are numerous, this article examines the possibilities for including the system for computer algebra MuPad in Mathematics courses at the Center of Computer Sciences and Engineering at Burgas Free University., Годишник на БСУ 2014 том XXX

Report published in the Proceedings of the National Conference on "Education and Research in the Information Society", Plovdiv, May, 2014 The article presents a study of the possibilities of the system for computing and visualization MuPAD - the part of the package for symbolic calculations Symbolic Math Toolbox of the MATLAB computer system in school from 6. to 9. grade. The classical problems are presented and solved with Mupad. The presented methodology for computer accompanied teaching mathematics is suitable for extracurricular work with students who have an interest in computer technology and systems for mathematical calculations and to organize competitions and Olympiads Computer mathematics for little students. Association for the Development of the Information Society, Institute of Mathematics and Informatics Bulgarian Academy of Sciences, Plovdiv University "Paisii Hilendarski"

Report published in the Proceedings of the National Conference on "Education in the Information Society", Plovdiv, May, 2013 The paper presents a new educational program for motivated students „Academic research in Computer mathematics” which is optional for the students from an area of higher education 02.Tehnical sciences. The program focuses on the practical use of mathematics in all fields of engineering science and practice. All of the examples show the application of mathematics in engineering science and practice and using MATLAB and MuPAD to solve them. Association for the Development of the Information Society, Institute of Mathematics and Informatics Bulgarian Academy of Sciences

The basic notions of a theory of Gröbner bases for ideals in the non-associative, noncommutative algebras KX and [\begin{displaymath}K(X)_\infty\end{displaymath}] with a unit freely generated by a set X over a field K are discussed. The monomials in this algebras can be identified with PB(X), the set of isomorphism classes of X-labelled finite, planar binary rooted trees, and PRT(X), the set of isomorphism classes of X-labelled finite, planar reduced rooted trees respectively, where X is the set of free algebra generators. The reduced Gröbner basis of the ideal J of relations in the Cayley algebra with respect to a chosen admissible order is computed. The multihomogeneous polynomials of multidegree (2,1,1) in the reduced Gröbner basis of the alternator ideal is computed. Some computations are obtained on Gröbner bases of ideals by use of computer programs Magma and MuPAD.

Notas de apoio para Teoria de Códigos, fazendo uso do MuPad.

今日,いろいろな現象をモデル化し,その現象を微分方程式などの基礎方程式で解析する研究が進められてきた.したがって,微分方程式を解いたり,積分を計算したりするなどの連続数学の問題を解くことの需要が非常に高い.コンピュータでこのような数学的問題を解くための方法として数式処理と数値計算がある.数式処理は数を任意精度で表し,かつ計算をコンピュータで記号的に扱うものであり,記号的あるいは代数的な解法が知られていない問題においては数値計算による近似的な解法を用いる必要があるが,記号的な計算が行われるために計算結果は厳密となる.本論文では複雑な数式処理及び数値計算が必要となる,ダフィング方程式の周期解のガレルキン法による近似を,コンピュータ代数システムであり,また数値計算ツールも利用できるMuPADを用いて行い,その性能を検証する., 卒業論文

We present a characteristic-free algorithm for computing minimal generating sets of invariant rings of permutation groups. We circumvent the main weaknesses of the usual approaches (using classical Gröbner basis inside the full polynomial ring, or pure linear algebra inside the invariant ring) by relying on the theory of SAGBI- Gröbner basis. This theory takes, in this special case, a strongly combinatorial flavor, which makes it particularly effective. Our algorithm does not require the computation of a Hironaka decomposition, nor even the computation of a system of parameters, and could be parallelized. Our implementation, as part of the library $permuvar$ for $mupad$, is in many cases much more efficient than the other existing software.

Colloque avec actes et comité de lecture.; Nous présentons un nouveau module de calcul formel dédié au dénombrement et à la génération aléatoire uniforme de structures combinatoires décomposables, définies dans les travaux de Flajolet/Zimmermann/Van Cutsem.

Projet EURECA; MuPAD is a general purpose computer algebra system with two programming concepts for parallel processing: {\em micro-parallelism\/} for shared-memory machines and {\em macro-parallelism\/} for distributed architectures. This article describes language instructions for both concepts, the current state of implementation, together with some examples.

Estudi de la implementació i la complexitat dels algorismes existents de generació d’estructures combinatòries: la generació determinista –unranking i ranking – i dels problemes de generació exhaustiva (generating). El llenguatge en què s’implementa aquests algorismes és MuPAD.