Submissions

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Submission Preparation Checklist

As part of the submission process, authors are required to check off their submission's compliance with all of the following items, and submissions may be returned to authors that do not adhere to these guidelines.
  • The submission has not been previously published, nor is it before another journal for consideration (or an explanation has been provided in Comments to the Editor).
  • The submission file is in OpenOffice, Microsoft Word (or LaTeX) and PDF.
  • Where available, URLs for the references have been provided.
  • The text is single-spaced; uses a 12-point font; employs italics, rather than underlining (except with URL addresses); and all illustrations, figures, and tables are placed within the text at the appropriate points, rather than at the end.
  • The text adheres to the stylistic and bibliographic requirements outlined in the Author Guidelines.

Author Guidelines

Requirements for the structure and content of the article
The requirements for the structure and content of the article comply with the provisions of the National Standard of Ukraine DSTU 7152:2020. Edition. Design of publications in journals and collections and the Recommendations of the EANR (European Association of Science Editors) for authors and translators of scientific articles in English.
Elements of the design of the article
1. UDC index.
2. Digital identifier of the publication (DOI).
3. Information about the author (authors).
4. Title of the article.
5. Abstract.
6. Keywords.
7. Main text of the article.
8. Information about the contribution of the authors.
9. Acknowledgements, sources of funding.
10. List of sources used.
11. Dates of receipt and editorial and publishing processing of the article.
UDC index. The Information and Bibliographic Department of the M. Maksimovich Scientific Library provides paid services for determining the UDC index. The service can be obtained in room 24 of the Scientific Library, or by calling: (044) 239-33-53 (33-53), or by writing to bibliograflib@gmail.com, in which you should indicate your name, surname, position, title of the article and its annotation.
The digital identifier of the publication (DOI) is assigned by the Publisher. The DOI identifier is placed on the same line as the UDC index.
Information about the author(s). The order of the authors must be determined before submitting the manuscript (see "Authorship and co-authorship"). Any changes made after the manuscript is submitted must be approved by all authors. The information about the author must include the following elements:
name, surname;
academic degree, academic title;
position;
main place of work or study at the time of the research (name of the institution or organization);
city, country;
corporate e-mail of the author(s);
unique identifier of the author of the research ORCID ID.
Authors should indicate their affiliation with a specific institution as provided on the official website of their institution. In communication with the journal editorial office, it is necessary to use their official corporate e-mail. Abbreviations in the names of scientific degrees, academic titles and positions in Ukrainian and English should be submitted in accordance with Table 1.
Abbreviations in the names of scientific degrees, academic titles and positions
In Ukrainian
In English
Dr. Sci. (Phys&Math)
Dr. Ped. Sci. (Pedagogy)
Dr. Tech. Sci. (Engin)
Prof.
Prof.
Cand. Sci. of Sciences
PhD (Phys&Math)
Assoc. Prof.
Assoc. Prof.
Senior Lecturer
Lecturer
Academician
Academician
Active Member of the National Academy of Sciences of Ukraine
Corresponding Member of the National Academy of Sciences of Ukraine
Assistant
Assistant
Prov. nauk. coop.
Leading Researcher
Scientific Collaborator
Senior Researcher
Young nauk. coop.
Junior Researcher
PhD Student
Master's Student (who is still studying) /
Master of Arts (who has received a diploma)
Student
The title of the article should be unambiguous, understandable to specialists in other fields, informative and specific: 5–9 words that correspond to the content of the article. The title cannot contain phrases such as “Research on the issue…”, “Some issues…”, “Problems…”, etc.
Abstract. The abstract should reflect the content of the article, since for many readers it will be the key source of information about your research (most databases contain only the title and abstract).
The abstract of an original research article should be structured and informative, comply with the IMRAD structure and contain the following points:
Relevance.
Aim and objectives.
Methods.
Results.
Conclusions.
See an example of the abstract format in the EAER (European Association of Scientific Editors) Recommendations for authors and translators of scientific articles in English.
The length of the abstract is at least 1,000 characters and no more than 2,500 characters (with spaces).
The abstract of a review article may be unstructured, indicative, and should highlight the main points of the review. Length – 100-150 words.
Keywords. For an original research article, four to eight keywords should be provided; for a review article – three to six. Keywords should not repeat the title of the article.
Information about the title of the article, information about the author(s), abstract, and keywords of the article in English for Ukrainian-language articles or in Ukrainian for English-language articles should be provided at the end of the article after the list of sources used.

Main text of the article
LENGTH OF THE MAIN TEXT. Original research article – from 3 thousand to 8 thousand words, review article – from 2 thousand to 5 thousand words.
ARTICLE STRUCTURE. An original research article should be prepared using the IMRAD structure and contain the following main elements:
Introduction
Literature Review
Methodology
Results
Discussion and Conclusions.
Detailed requirements for each of the specified structural elements of the article are given in the EANR (European Association of Science Editors) Recommendations for Authors and Translators of Scientific Articles in English).
A review article should also be prepared using the IMRAD structure without the “Methodology” section.
ILLUSTRATIONS, TABLES. All figures (schemes, graphs, diagrams, etc.) and tables must be numbered with Arabic numerals and placed directly in the text, where they should be in the content (and not at the end of the document).

Figures must be given explanatory captions (under the figure, in a separate paragraph), and tables must be given thematic titles (above the table, in a separate paragraph). Captions and titles must reflect the content of the figures and tables, be concise and informative. Each figure or table must be referenced in the main text of the article and its serial number must be indicated, for example: (Fig. 1), (Table 2).

Example:

Fig. 1. Relative frequency histogram

Table 2.

Truth table for function f

p1p2pn-1pn

f(p1,p2,…,pn-1,pn)

00…00

f(0,0,…,0,0)

00…01

f(0,0,…,0,1)

00…10

f(0,0,…,1,0)

00…11

f(0,0,…,1,1)

………

………

11…10

f(1,1,…,1,0)

11…11

f(1,1,…,1,1)

If the article is accepted, authors upload separate files of all high-resolution figures in .tif or .jpg formats. File names for infographics should be clear and match the names in the text (e.g., Figure 1, Figure 2, Figure 3, etc.). Image resolution: 1,200 dpi for line images, 600 dpi for grayscale images, and 300 dpi for color images.

Mathematical formulas in the text should be aligned "Centered". All formulas that are referenced should be numbered and should have appropriate references in parentheses, for example, formula (1). Indent before and after each formula that is written on a separate line - 1 paragraph.

DEFINITIONS, THEOREMS, LEMMAS, STATEMENTS, EXAMPLES, PROBLEMS, if there are several of them, should have separate numbering. When designing them, the type of mathematical object should be highlighted in bold and its formulation in italics. The proof of a statement (theorem, lemma) begins with the word "Proof.", which is written in italics. The end of the proof is marked with a separate line containing a black square sign (∎), aligned to the right margin.

For problems, examples, the beginning of the solution is highlighted with the word "Solution:" written in italics. Each example should end with an answer, which is written in a separate paragraph and begins with the word "Answer:", written in italics. Underlining of the text is not allowed (except in special mathematical notes and electronic addresses of references). Indentation before and after the formulations is 1 paragraph each.

Information about the contribution of the authors

Information about the contribution of the authors to the preparation of the article should be indicated in accordance with CRediT (Contributor Roles Taxonomy):

Conceptualization. Ideas; formulation or evolution of the overarching goals and objectives of the research.

Formal analysis. The application of statistical, mathematical, computational, or other formal methods to analyze or synthesize empirical research data.
Software. Programming, software development; computer program design; implementation of computer code and supporting algorithms; testing of code components.
Methodology. Development or design of methodology; creation of models.
Data validation. Verification of reproducibility of results/experiments and other research outputs.
Writing - original draft. Writing the initial version (draft) of the article.
Writing - reviewing and editing. Making significant changes, additions to the article.

For example:

First name, last name - conceptualization, methodology;

First name, last name - software, formal analysis;

First name, last name - data validation, writing - original draft;

First name, last name — writing — reviewing and editing.

Acknowledgements, sources of funding

Mention all people who made a significant contribution to the research, but are not co-authors: coordinated the implementation of the research activity, provided resources (research materials, educational and/or student teams, laboratory samples, instruments, computing resources or other analysis tools).

List all sources of funding. Recommended format: “This work was carried out with the support of the Civilian Research and Development Fund (CRDF Global) (grant number xxxx)”. If there was no specific funding, write the following sentence: “This research did not receive any grant from a financial institution in the public, commercial or non-profit sectors”. See more details on p. 3 of the EANR (European Association of Science Editors) Recommendations for Authors and Translators of Scientific Articles in English).

List of sources used

Bibliographic entries in the list of bibliographical references are given according to the bibliographic citation style APA style references (7th Edition).

Sources in the list of sources used are not numbered and are presented alphabetically.

In the article in English, ONE list of sources used is provided – References, in which the bibliographic description of sources in non-Roman script (Cyrillic, Arabic, Chinese, etc.) is given in translation into English, the source language is indicated at the end of the bibliographic description in square brackets in English: [in Ukrainian], [in Chinese], etc. and the bibliographic description in the source language is added in square brackets. For example:

Kovalenko, M. (2020). Digital transformations of modern education. Osvita. [in Ukrainian]. [Kovalenko, M. (2020). Digital transformations of modern education. Education].

In the article in Ukrainian, a list of sources used is provided in the original language (bibliographic descriptions are given in the APA style reference bibliographic citation style). Bibliographic descriptions of sources in non-Roman script (Cyrillic, Arabic, Chinese, etc.) are presented in English translation and the source language is indicated at the end of the bibliographic description in square brackets in English: [in Ukrainian], [in Chinese], etc. For example:

Kovalenko, M. (2020). Digital transformations of modern education. Osvita. [in Ukrainian].

In-text citation format

In-text citations are presented in parentheses indicating:

the author's last name (if there is only one author) or the first words of the title of the work (for publications without authors), the year of publication in a comma, and, if necessary, the pages in a comma after the abbreviation "p." (in Ukrainian) or "p." (in English. The title of the work can be abbreviated, and omitted words should be marked with an ellipsis):

(Arber, 2020), (Arber, 2020, p. 147), (Arber, 2019, pp. 60–65), (Scientific Heritage…, 2019, p. 95), (Shevchenko, 2021, pp. 194–195);

surnames of all co-authors (if there are no more than three authors), year of publication:

(Wolf, Dormus, Brown, 2018);

surnames of only the first co-author, abbreviation “et al.” or “et al.”, year of publication (if there are more than three authors):

(Grady et al., 2017), (Pisarenko et al., 2021);

author's surname and initials, year of publication (if the article contains references to works by authors with the same surname, published in the same year):

(Brown A., 2010);

author's surname, year of publication of the first work, year of publication of the next work (if the article contains references to works by the same author, published in different years, the author's surname is not duplicated):

(Hamilton, 2012, p. 121; 2015, pp. 83–88);

author's surname, year of publication, lowercase Latin letter after the year of publication (if the article contains references to works by the same author, published in the same year):

(Gibson, 2019a; 2019b; 2019c);

with the number or name (if there is no number) of the part of the electronic source (volume, part, section, etc.) after the year of publication, if the pages are not numbered.

(Brown, 2022, vol. 2).

References to several sources at the same time are given through a semicolon in alphabetical order by the first letter of the author's surname of each source or the title of the work for publications without an author. For example, researchers studied a certain problem: (Freeberg, 2019; Grady et al., 2019).

The main part of the references in the publication should be to authoritative sources from the last 5–7 years of publication. It is desirable that the list of references consists of at least 30% of articles published in rated journals indexed in the scientometric databases Scopus and/or Web of Science. Self-citations should not exceed 25% of the total number of cited sources.

Examples of formatting bibliographic records in APA style references

Book edition

Author, A. A. (year of publication). Book title. Publisher.

Agarwal R.P. (2000) Difference Equations and Inequalities: Theory, Methods, and Applications. Marcel Dekker.

For e-books or books that have electronic versions, the URL is indicated at the end of the bibliographic description, for example:

Halanay A.&Rasvan V. (2000) Stability and Stable Oscillations in Discrete Time Systems. CRC Press. https://doi.org/10.1201/9781482283280

Brück, M. (2009). Women in early British and Irish astronomy: Stars and satellites. Springer Nature. https:/doi.org/10.1007/978-90-481-2473-2.
Parasyuk I. O. (2022) Dynamical systems: a tutorial. https://mechmat.knu.ua/wp-content/uploads/2022/11/parasyuk-dynamical_systems-textbook.pdf

Journal Article

Author, A. A. (year of publication). Article Title. Journal Title, Journal Number, Pages. URL

Rohret, D., Kraft, M., & Vella, M. (2013). Functional Resilience, Functional Resonance and Threat Anticipation for Rapidly Developed Systems. Journal of Information Warfare, 12 (2), p. 50–62. https://www.jstor.org/stable/26486855

Conference Presentation

Author, A. A. (year, month, date of conference). Presentation Title [Conference Presentation]. Conference Title, Conference Venue. URL

Evans, A. C., Jr., Garbarino, J., Bocanegra, E., Kinscherff, R. T., & Márquez-Greene, N. (2019, August 8–11). Gun violence: An event on the power of community [Conference presentation]. APA 2019 Convention, Chicago, IL, United States. https://convention.apa.org/2019-video

Conference materials published in the conference proceedings

Author, A. A. (year). Title of publication. In Proceedings editors' names (ed.), Conference title: Issue. Title (pages). Publisher. URL

Otenko, I., Podorozhna, M. & Otenko, V. (2021, September 13–19) Information Support for Making Strategic Decisions on the Development of an Industrial Enterprise. CEUR Workshop Proceedings 3200, p. 281-285. https://ceur-ws.org/Vol-3200/paper41.pdf

Dissertation

Author, A. A. (year). Title of dissertation [Doctoral dissertation manuscript]. Name of university where dissertation was defended.

Harris, L. (2014). Instructional leadership perceptions and practices of elementary school leaders [Unpublished doctoral dissertation]. University of Virginia.

Regulatory and legal acts, standards

Verkhovna Rada of Ukraine. (2019). On ensuring the functioning of the Ukrainian language as the state language (Law of Ukraine dated 25.04.2019 No. 2704-VIII). https://zakon.rada.gov.ua/laws/show/2704-19
Quality management (2018). Guidelines for quality management in projects (ISO Standard No. 10006:2018. https://standards.iteh.ai/catalog/standards/sist/bab83c29-9736-48f1-b4f3-6bcbe2a12461/sist-iso-10006-2018

Detailed requirements and examples of bibliographic record formatting can also be found in: Publication Manual of the American Psychological Association (APA), 7th Edition and in Examples of APA Reference Formatting (7th ed.) in the References List.

For the correct compilation of bibliographic records in the reference list, you can use specialized programs, for example: https://www.grafiati.com/uk/

Information on the dates of receipt and editorial and publishing processing of the article

At the end of the article, information is provided in the format:

Received by the journal editorial office: / Received:
Reviewed: / Received in revised form:
Approved for printing: / Accepted:

ATTENTION! Information about the title of the article, information about the author(s), abstract (at least 800 characters) and keywords of the article in English for Ukrainian-language articles or in Ukrainian for English-language articles are submitted at the end of the article after the list of sources used and the dates of editorial and publishing processing of the article.

Uncategorized

Політика розділу за замовчуванням

Theoretical and Applied Aspects of Mathematics

In the block "Theoretical and Applied Aspects of Mathematics" we publish works on the latest achievements in mathematics, innovative technologies, on the application of mathematics in various fields of natural science, engineering, and social sciences. We pay special attention to the application of mathematics in solving problems of economics and financial mathematics. We will actively promote the development of efforts aimed at forming the economic competence of young mathematicians so that they can creatively apply mathematical methods in solving complex problems of economics.

Original Results and Mathematical Modeling

One of the main tasks of the Journal is considered by the editorial board to be the development of readers' creative abilities, their involvement in active creative work. In the thematic block "Original Results and Mathematical Modeling" we publish new results of our authors in the field of mathematics and mathematical modeling.

History and Methodology of Mathematics

The thematic block "History and Methodology of Mathematics" is dedicated to the historical aspect of the development of mathematics, where famous Ukrainian mathematicians share their thoughts on mathematics, its role in the processes of cognition, its past, present and future. Here we tell about the anniversaries of outstanding Ukrainian mathematicians, introduce their works, and also publish a series of interviews with the most prominent Ukrainian mathematicians.

Modern Methods and Technologies of Mathematics Education

The thematic block "Modern Methods and Technologies of Mathematics Education" will be useful for mathematics teachers, methodologists, lecturers and students of higher education institutions, as well as for everyone who is interested in the issues of teaching mathematics. The studies in this block contain works devoted to the peculiarities of special and general mathematics teaching methods, reveal modern trends and innovations in mathematics teaching methods, and summarize the advanced pedagogical experience of practicing teachers.

Scientific discussions: problems and hypotheses

In the block "Scientific discussions: problems and hypotheses", in addition to the formulation of unsolved problems, analytical reviews of the current state of known hypotheses, the results of computer experiments indicating new mathematical regularities, as well as materials of professional discussions on priority areas of development of modern mathematics and its applications are published.

Mathematical competitions and research problems

In the thematic block "Mathematical competitions and research problems", we publish innovative results of the work of our readers. We present selections of problems that were proposed at international Olympiads and mathematical tournaments of various levels. It is at a young age that mathematical abilities are revealed and developed. The editorial board always strives to ensure that the materials of this block are interesting and accessible.

Chronicle and International Reviews

In the block "Chronicle and International Reviews" we inform our readers about the main events in the mathematical life of Ukraine and abroad, provide information about congresses, conferences, meetings on mathematical education. We plan to regularly publish articles on the state of higher and pre-higher education in different countries of the world

Creative Mathematics

In the block "Creative Mathematics" we publish innovative results of our readers' work. We invite the youngest readers of our magazine to get acquainted with the materials of this block. It is at a young age that mathematical abilities are revealed and developed. The editorial board always strives to ensure that the materials of this block are interesting and accessible.

Mathematical Olympiads

The supplements to the Journal will include thematic blocks “Mathematical Olympiads”, where we will present selections of problems that were offered at Olympiads and mathematical tournaments of various levels – from international Olympiads to open competitive competitions of individual universities and lyceums

Mathematics Circle

In the supplements to the Journal, a thematic block "Mathematics Circle" will be published, which will contain articles, each of which can be the material of one or two classes of the mathematics circle.

Our Reviews

The supplements to the Journal will include a thematic block "Our Reviews", where we inform our readers about new publications in mathematics and publish reviews of these publications by leading experts.

Privacy Statement

The names and email addresses entered in this journal site will be used exclusively for the stated purposes of this journal and will not be made available for any other purpose or to any other party.