
Dainis Zeps- Ph.D.Math.
- Head at University of Latvia
Dainis Zeps
- Ph.D.Math.
- Head at University of Latvia
#StandForUkraine, #StandforCanada, #StandforGreenland, #GiveTrumptToEatRussiaInPlaceOfGreenland, #RussiaDelendaEest
About
149
Publications
30,380
Reads
How we measure 'reads'
A 'read' is counted each time someone views a publication summary (such as the title, abstract, and list of authors), clicks on a figure, or views or downloads the full-text. Learn more
237
Citations
Introduction
Graph theory. Differential geometry
Current institution
Additional affiliations
Editor roles

Prespacetime Journal
Position
- Advisory Editor
Publications
Publications (149)
This paper explores the emerging role of artificial intelligence (AI) in the global struggle against authoritarianism, disinformation, and war — with a focus on Russia’s ongoing aggression against Ukraine. Framing AI not merely as a passive tool, but as a potential active force in resisting propaganda, preserving truth, and empowering democratic re...
Jau ilgāku laiku nodarbojamies ar mēģinājumie mākslīgā intelekta (MI) vidē, kādā no tā LLM, veidot sarunas, kuras mūsu iedomā varētu iemācīt to saprast, kas notiek pasaulē, kas notiek karā pret Ukrainu, kad Krievija ir iebrukusi Ukrainā, tur nogalina, grauj Ukainas pilsētas, grauj tās infrastruktūru, nerēķinoties ne pret kādu starptautisku spiedien...
Our conversation, spanning from March 1 to March 2, 2025, centers on the Ukraine-Russia war, U.S. President Donald Trump’s actions (particularly the February 28, 2025, Oval Office clash with Ukrainian President Volodymyr Zelensky), and the broader geopolitical implications for the U.S., Europe, Russia, and China. You’ve provided a rich array of doc...
Let's add an important aspect to the discussion: the Ukrainian army as the new European army andalso as NATO's army. This our initiative – let the initiative come from the new U.S. administration ifEurope is too timidly looking towards the U.S. and unable to express what it is already thinking.
Here is the first conversation of this year with AI, where we start by discussing the beginning of mobilization in Russia, which is deeply intertwined with widespread corruption on a massive scale. We also examine an interesting phenomenon in which Putin's statements in Russia are closely aligned with propaganda narratives, particularly in the cont...
Rakstā sarunā ar ChatGPT risinām jautājumu par latīņu teiciena Russia delenda est interpretāciju. Šeit piedāvājam to skatīt ne tikai Krievijas demilitarizācas kontekstā, kā to ieteicām iepriekš, bet pievienojot vēl divus jēdzienu, proti, depropagandizāciju un vēl deeskatizāciju. Ja jēdziens depropagandizācija ir intuitīvi viegli saprotams, un tā ar...
A conversation, started on September 18 of this year about Russia's aggressive war against Ukraine with LLM version gpt.4o
Here conversation with gpt4o about war in Ukrainian, it repeats partly that what in https://www.researchgate.net/publication/384423307, but part of responses of gpt4o are quite different.
"Baltazāra sapnī Daniēls skaidro 5:17 Tekēl-tu esi nosvērts svaru kausā un esi izrādījies par vieglu. Ko tas nozīmē mūsdienās AI kontekstā? Mums te svarīgi vārdi "Tu esi nosvērts". Tas, lūk, būs AI darbs, ko tas izdarīs ar katru no mums, ar katru pētnieku, ar visiem, un mēs tiksim vērtētī. Nu, par to vērtēšanu varbūt es piedomāju. Kas vērtēs, to mē...
Un nu, jautājums: vai ASV valdību nevar iesūdzēt tiesā par jaukšanos pašai savās vēlēšanās, jo viņi spiež Ukrainu izvēlēties tādas militāras akcijas, ko viņi uzskata kā sev pieļaujamas/nepieļaujamas, lai panāktu labvēlīgāku iznākumu demokrātiem vēlēšanās.
And now, the question: can the US government not be sued for meddling in its own elections, because they are forcing Ukraine to choose military actions that they consider permissible/impermissible in order to achieve a more favorable outcome for the Democrats in the elections.
Papildināts.30.3.2024. Dainis Zeps, 2024. g. februāris, Rīga
We are talking about the world after Ukraine's victory in the war against Russia. Russia must be defeated, Ukraine must win, and the world after this victory can acquire the name New World. Why is it so important? Just about this the conversation with ChatGPT.
These words ΓΝΩΘΙ ΣΕΑΥΤΟΝ (Gnothi Seauton) are inscribed at the entrance to the Temple of Apollo at Delphi.
The paraphrase ΓΝΩΘΙ ΜΑΘΗΜΑ we use to ask some questions in addressing the main question – what is the basis of our thinking?
GPT no iekšpuses: ko var iesākt ar GPT? Matemātiķa skatījums. Mans skatījums.
Aplūkojam vienu no AI language model rīkiem, ChatGPT, ko matemātiķis var gūt no šādām AI sistēmām. Apskatām sarunas ar GPT, apskatām rekomendācijas, kādas dod gan pats GPT, gan ko izsecinām no prakses, GPT lietojot.
Diskutējam par GPT spēju pierādīt matemātiskas teorēmas.
Te jaunākā lingvistiskā saruna ar gpt, kur runājam par klasisko (biblisko) sīriešu valodu. Mēģinu ko iemācīt gpt, kad saprotu, ka viņš dara kaut ko ne tā, ko šādā situācijā varētu gaidīt no šīs valodas eksperta. Te iniciatīvu pārtveru es un mēģinu kaut ko gpt iemācīt. Vai izdodas? Tas vienmēr ir grūti. Tikai kāda situācijas imitācija, neko jau nopi...
Прослушайте стрим "Как и где началась эпидемия коронавируса" Видео № 31 - YouTube, которую записал Юрий Швец, бывший высокопоставленный чиновник КГБ, нынче живет в США.
Но Швец ничего не говорит о том, что-же происходило на Векторе, кроме взрыва и пожара 16-го сентября 2019-ого года, до того.
Noklausieties strīmu Как и где началась эпидемия коронавируса / Видео № 31-YouTube, kuru veidojis Jurijs Švecs, bijis augsta amatpersona KGB, tagad dzīvo ASV.
Bet Švecs neko nestāsta, kas tad norisinājās "Vektorā" pirms 2019. gada 16. septembra.
On physics: why nature behaves mathematically? A brief interview in Quantum Mechanics
Par fiziku: kāpēc daba uzvedas matemātiski? Īss ievadījums kvantu mehānikā
ZuRD semināra prezentācija, 11. maijā, 2018. gadā
In this educational paper we consider the Dirac magnetic monopole as a solution of
Maxwell equations in analogy of the solution for point electric charge. Vectorial
potential for the static charge free Maxwell equations would give null solution, and
we follow the Dirac solution to join the charge reference with infinite far point with
the Dirac str...
Translation of the article of Emanuels Grinbergs, ОБ ОДНОЙ ГЕОМЕТРИЧЕСКОЙ ВАРИАЦИОННОЙ ЗАДАЧЕ that is published in LVU Zinātniskie darbi, 1958.g., sējums XX, izlaidums 3, 153.-164., in Russian
https://dspace.lu.lv/dspace/handle/7/46617.
Dainis Zeps is only translator of the article of Emanuels Grinbergs
Emanuels Grinbergs, in his youth, during ten years, from 1933 until 1943, wrote three dissertations on one subject, namely, differential geometry [1, 2, 3]. We think that his work in this direction has been neglected for many years, and it is the last time to try to understand the significance of these works. Here, in this short article we touch on...
In context of Thomassen conjecture we consider UH3 graphs which spike set as graph may be divided in two-edge separable subgraphs induced by Thomassen vertices and Thomassen edges. We call such UH3 graphs special if they are critical UH3 graphs, i.e., with maximal number of non-Thomassian vertices. We observe that at odd number of vertices UH3 grap...
We color UH3 graph elements in two colors as before, but analyze how this coloring changes by splitting vertices. We find that mostly the change in coloring is local, i.e., around elements which are engaged in this split.
We use the concept of 2-coloring in analyzing UH3 graphs and building exact specifications of functions to find new UH3 graphs by Hamiltonian cycle edge extractions.
In UH3 graphs family value k is called critical if maximal number of vertices that each removed give non-Hamiltonian graph in this family is equal to k. UH3 graph that reaches critical value is called critical in the family. We establish a simple law to critical value in the family with n vertices: k=2(n-17). The law is correct for critical values...
We call UH3 graph critical if number of vertices which removal don't give Hamiltonian graph is maximal, or critical. In [1] we establish that critical value for UH3 graph with n vertices is equal to 2(n-17). In [1] we show that critical graphs exist up to n<25. The question is about the existence above this value, 24. Here we discuss eventual compu...
Publicējam 2009. gada burtisku projekta aprakstu. Projekta nosaukums Zinātnes paradigmu maiņa Zinātnes un Reliģijas dialoga kontekstā. Galveno ieguldījumu šī pamatojuma izveidē veica Juris Tambergs.
About delayed choice experiments in quantum mechanics inspired by ideas of J.A.Wheeler
Professor Pauls Žibeiks usually is mentioned as professor of Old Testament. In my memories P. Žibeiks takes place of the professor of ancient languages, which he taught in the theological seminary. During the period of time 1987-1992 I was in close touch with the professor, first being his student in his classes of ancient languages in the seminary...
Translation of some chapters (0.-8.) into Latvian of the book: Ernst Jenni. Lehrbuch der Hebräischen Sprache des Alten Testaments
Москальское лже-правосудие придумало понятие экстремизм и применяет его искаженно. Правильно было бы сказать, по их же логике, что: Экстремизм это попытка уничтожить законодательство собственной страны; Экстремизм это попытка уничтожить гражданственность собственной страны; Экстремизм это аннексирование другого государства как в случае Крыма; Экстр...
As an applicant for the Project Russia I feel obliged to submit my Curriculum vitae, what I am now doing. In Russian.
1] от корки до корки. Она мне и много рассказивала о своем опыте, ведь ряда лет проработала на юридическом факультете Латвийского университета и когда вдруг умер преподователь по Римскому праву[2], то ее заставили взять этот предмет. Надеюсь я что-то помню от всего этого и значит здесь поупражняюсь. Я хочу тронуть только один пункт Ринского права,...
Какая била связь мужду КГБ и Всемирной Революцией?
Propaganda in Russia, aimed at stupefying ordinary people in Russia, turned to stupefy the creators of the propaganda machine itself. In fact, these masses involved in the propaganda industry do not believe in their product and act as the saboteurs of the end product and produce a nonsense that working in the social sphere, turns into a new type of...
We explain here the term пактика, a violation of legislation in sense of producing laws against law abiding people. I derive this word from пакт. The Pact is a kind of agreement between the legislator and the law-abiding, but the пактика means a type of mockery over an agreement that you are not going to fulfill, but rather to exercise cruelty to t...
We explain here the term пактика, a violation of legislation in sense of producing laws against law abiding people. I derive this word from пакт. The Pact is a kind of agreement between the legislator and the law-abiding, but the пактика means a type of mockery over an agreement that you are not going to fulfill, but rather to exercise cruelty to t...
We explain here the term пактика, a violation of legislation in sense of producing laws against law abiding people. I derive this word from пакт. The Pact is a kind of agreement between the legislator and the law-abiding, but the пактика means a type of mockery over an agreement that you are not going to fulfill, but rather to exercise cruelty to t...
A brief recommendation on how to write satirical compositions. In Russian.
Если текста нет нажать download.
After writing a short note on Russia, in Russian, I decided to start a project named Russia
dainize@latnet.lv Что общее между генеральной уборкой и информатионной войной? Кремль занялся информатионной войной, а Навальный напротив зачинил генеральную уборку. Вам не нравится такая картина? Или, то чем занимается Мальцев, разве это война? Нет, это можно сравнить с уборкой информатионного поля, или, как они сами бы хотели это обозначать, артп...
Раздумья о мракобесии в России порожденное бесноватыми безвыходностю после разгона 30-ого ноября 2013-ого года. Изложение крайне сжато: нет упоминания псевдодемократии, псевдоправосудия, псевдовыборов, госмегакоррупции, аннексии Крыма. Рекомендую для разбора в политзанятиях в российских школах, институтах и университетах.
A little exercise in the compositions. In Russian
In laudem novae scholae, habita Noribergae in corona doctiss. virorum, et totius ferme Senatus. M.D.XXVI Filipa Melanhtona galvas runa slavinājums jaunaklājamai skolai, turēta Noribergā vismācītāko vīru un gandrīz visa Senāta priekšā. 1529. No latīņu valodas tulkojis Dainis Zeps Quod vobis et liberis vestris, et universae Reipub. faustum foelixque...
Title of article: On maps and finite fields. About bundles from cubic functions.
We published a short preprint, Mathematica math.note, written in November 2016 in Latvian.
The numbers, 5,6,10,11, ... that give permutations mentioned in the note I called trimes, as opposed to primes, https://oeis.org/A074243
Here we publish a short note written in November 2016. Ghys theorem mentioned here is actually Tait-Kneser theorem, see Osculating curves: around the Tait-Kneser Theorem, https://www.math.psu.edu/tabachni/prints/GTT2.pdf.
We need this short reference to show that we have come here somehow very close to the subject in differential geometry consider...
Ievads Latviešu valodā ieviesusies tradīcija atveidot ἀπόστολος Παῦλος kā apustulis Pāvils. Nereti tiek lietots arī dabiskākais atveidojums Pauls, bet tradīcija stingri dod priekšroku pirmajam. Cik pamatota ir tradīcijas uzturētā paulīniskā fenomena centrālās personas dēvēšana par Pāvilu latviešu valodā? Šo jautājumu nedaudz aplūkosim šajā rakstā....
Translated into Latvian by Dainis Zeps
Translated into Latvian by Dainis Zeps
This work Commentary to the Epistle to Romans by Aadreas Knopken is translated into Latvian by Dainis Zeps.
I would like to thank Artūrs Hansons and Līva Bodniece both for their help, and severe criticism in the translation of this work.
Problems around teaching ancient languages are discussed. It is suggested to assume that learning and teaching of languages require some superhuman effort. Author’s experience of teaching ancient languages and producing electronic educational tools both for text version and for Internet in Faculty of Theology in University of Latvia is described. P...
In this article we consider combinatorial maps approach to graphs on
surfaces, and how between them can be establish terminological uniformity in
favor of combinatorial maps in way rotations are set as base structural
elements and all other notions are derived from them. We set this approach as
rotational prevalence principle. We consider simplest...
Grinbergs' construction of 3-connected 1-H-graphs is considered. Graph with 18 vertices and 29 edges is built.
We build unbounded classes of plane and projective plane multiwheels that are
4-critical that are received summing odd wheels as edge sums modulo two. These
classes can be considered as ascending from single common graph that can be
received as edge sum modulo two of the octahedron graph O and the minimal wheel
W3. All graphs of these classes belon...
4-critical wheel graphs of higher order are considered concerning their
belonging to free-planar or free-Hadwiger classes.
Quanta mathematica instrumentalis, from Latin, might mean How much mathematics for physical applications. But we try to give this expression another meaning. We discuss how mathematics and its instrumental nature could serve as paradigm for other human activities and science in general. We introduce notions of higher observer and field of informati...
Prezentācija LU bibliotekas seminārā par OA repozitorijiem.
We consider combinatorial maps with fixed combinatorial knot numbered with augmenting numeration called normalized knot. We show that knot's normalization doesn't affect combinatorial map what concerns its generality. Knot's normalization leads to more concise numeration of corners in maps, e.g., odd or even corners allow easy to follow distinguish...
We consider ornamental sign language of first order where principles of sieve displacement, of asymmetric building blocks as base of ornament symmetry, color exchangeability and side equivalence principles work. The generic aspects of sieve and genesis of ornamental pattern and ornament sign in it are discussed. The hemiolia principle for ornamenta...
Questions
Questions (2)
I'm a mathematician, a physicist by education. But I'm fond of modern theoretical physics. I head a group of scientists called "Dialogue on Science and Religion". We analyze different topics and directions in the sciences, including how it relates to religious issues. I develop myself in what I call productive thinking. I try to teach my colleagues this, and I learn from them too.
So why this project about Russia?
First of all, I have a heartache about what is happening in Russia, about people in Russia.
Secondly. I do not want to be a typical blogger, I'm not a politician or a political science expert, I want to remain a mathematician and a physicist, to use what I call productive thinking, exercise my imagination, generate ideas that can be useful to smarter people who can be armed with various necessary knowledge to address the issues that I am about to touch.