Russian Academy of Sciences

On Sidon sets with squares, cubes and quartics in short intervals

Abstract Representative examples of our results are as follows. For any positive integer $$N$$ N the equation $$x^3+y^3=z^3+t^3, \quad x,y,z,t\in \mathbb{N}, \quad \{x,y\}\not=\{z,t\}$$ x 3 + y 3 = z 3 + t 3 , x , y , z , t ∈ N , { x , y } ≠ { z , t } has no solutions satisfying...

Virome of the Russian Grapevine Germplasm: A Final Study and Summary

Ampelographic collections play an important role in the conservation of grapevine genetic resources and therefore require continuous phytosanitary monitoring. In this study, the virome of grapevines from the Magarach ampelographic collection in Russia was analyzed using total RNA...

Multiscale characterization of cortical signatures in positive and negative schizotypy:a worldwide ENIGMA study

Positive and negative schizotypy reflect distinct patterns of subclinical traits in the general population associated with neurodevelopmental and schizophrenia-spectrum pathologies. Yet, a comprehensive characterization of the unique and shared neuroanatomical signatures of these...

The Art of Printing [3D Engineering & Advanced Geometry]

There are sequences of actions that we repeat everyday. Among them is the printing action: print a numeric paper in pdf format and save it on your computer, or print it using a Xerox Machine or HP-printer. We found out we can do More: Let us Print in 3D Dimension, and investigate...

Hidden Solid-State Transformation of Darunavir in Low-Temperature Hot-Melt-Extruded Granules: Implications for Pharmacy Compounding and Routine Quality Control

Background: Hot-melt extrusion (HME) is a scalable pharmaceutical technology increasingly relevant to flexible manufacturing, including small-batch production, personalized dosage-form development, and potential use in pharmacy compounding. When translated into compounding practi...

Equivalent Numeric Approved Identity of Passport and Immigration Papers -- The Next Generation Identification Program (NGI) [A Short Introduction]

We express an interest to Equivalent Numeric Approved Identity of Passport and Immigration Papers. [We are making a submission to the Journal of Banking and Financial Technology].

Building a Stack for Systems Deployment

We are introducing few lines of methodology to start building Models & Systems for Deployment. We start first with Asana Platform and the Automated Fact-Checker [here]. More Collaboration Invitation will be sent to participate in the project.

Game Developments [Simulation and Convergence Scenarios]

There are tools to fastly simulate the Universe in Diverse Scenarios : among those tools, are mainly the Game Development tools. We will introduce few notes about them.

Unified framework for efficiently computable quantum circuits

Quantum circuits consisting of Clifford and matchgates are two classes of circuits that are known to be efficiently simulatable on a classical computer. We introduce a unified framework that shows in a transparent way the special structure that allows these circuits to be efficie...

Affidavit of Support [SponsorShip Path]

We are grateful for the Opportunity to apply to Biola University. The platform is requesting an affidavit of Support. In the Internet Guidelines, Some Institutions can offer Affidavit of Support as SponsorShip Investments.

Bank Systems

We are introducing the Axiomatization Framework of Bank Systems. Some theorems are completed about Housing, and other Assets Management.

Bank Systems

We are introducing the Axiomatization Framework of Bank Systems. Some theorems are completed about Housing, and other Assets Management.

Instability of absolute phase, envelope delay, and carrier-envelope phase induced by motions of compressor diffraction gratings

We found how absolute phase, envelope delay, and carrier-envelope phase (CEP) depend on the motion of gratings/mirrors in different types of compressors.The absolute phase depends on both the lateral and longitudinal displacements of the grating, with a characteristic scale of ch...

Building a Stack for Systems Deployment

We are introducing few lines of methodology to start building Models & Systems for Deployment. We start first with Asana Platform and the Automated Fact-Checker [here]. More Collaboration Invitation will be sent to participate in the project.

Computing Hardware Request for College or University Degree

They are important Computing Minimum Hardware Specifications to enroll and complete a program in the faculty of arts & science [data science, mathematics, and/or Statistics]. We introduce a short guideline [it is possible to submit a hardware request to some institutions and Jour...

Cataloguing & Referencing Art

In this document, we are creating a collection of objects, such as Internet Hyperlinks, Images, Quotes, etc. This activity is coherent with Mathematics Axiomatic Rules: At the beginning, there was an empty set, and the collection of objects create non-empty sets.

Cataloguing & Referencing Art

In this document, we are creating a collection of objects, such as Internet Hyperlinks, Images, Quotes, etc. This activity is coherent with Mathematics Axiomatic Rules: At the beginning, there was an empty set, and the collection of objects create non-empty sets.

Logging Activities for August, 03th, 2026 – [Mcgill University]

We are grateful for being in Mcgill University, today, August 03th, 2026. It is very crowdly and many people in groups are vis-iting Mclennan library. We save some notes here about our online activities and researches. We are wondering if a technology canstudy the influence diagr...

Independence Day: A Poetry to Liberation In Memory of Benin Independence

We would like to express few words of Gratitude to Benin, as August 1th, 2026, is their symbolic Independence day. We support this Poetry with some online quotes, and other notes.