Virasoro blocks at large exchange dimension by Carlos Cardona

“…We found a dramatically simplified solution at leading order in an inverse power expansion in large exchange conformal dimension in terms of a quasi-modular form in an Eisenstein series representation. …”
Get full text

Sustainable production of natural dyes for textile product via SUBMEX by Mimi Sakinah, A. M.

“…The membrane is assembled in a modular form with appropriate membrane surface area.…”
Get full text

APPLICATION OF MODULAR METHODOLOGY FOR LARGE PROJECTS MANAGEMENT TO EXECUTION OF INDUSTRIAL INSULATIONS by Katarzyna Marek-Kołodziej, Iwona Łapuńska

“… The purpose of the paper is to present the practical application of the modular methodology for large projects management based on the critical chain method to execution of industrial insulations in one of the Polish conventional power plants. The modular form of the methodology allowed the selection of appropriate modules for planning and implementation of the project. …”
Get full text

Quarks at the modular S 4 cusp by I. de Medeiros Varzielas, M. Levy, J. T. Penedo, S. T. Petcov

“…We focus on the case where the closeness of the modulus to the point of residual ℤ 3 ST $$ {\mathbb{Z}}_3^{ST} $$ symmetry (the cusp) plays a role in generating quark mass hierarchies and discuss the role modular form normalisations play in such constructions. …”
Get full text

Heterotic sigma models on T 8 and the Borcherds automorphic form Φ12 by Sarah M. Harrison, Shamit Kachru, Natalie M. Paquette, Roberto Volpato, Max Zimet

“…We show that the counting function for such states is intimately related to Borcherds’ automorphic form Φ12, a modular form which exhibits automorphy for O(2, 26; ℤ). …”
Get full text

Shifted convolution L-series values for elliptic curves by Ali, Asra, Mani, Nitya

“…Abstract Using explicit constructions of the Weierstrass mock modular form and Eisenstein series coefficients, we obtain closed formulas for the generating functions of values of shifted convolution L-functions associated to certain elliptic curves. …”
Get full text

K3 mirror symmetry, Legendre family and Deligne's conjecture for the Fermat quartic by Wenzhe Yang

“…In particular, we will study the relations between the Fermat quartic, which is modular with a weight-3 modular form η(4z)6, and the elliptic curve over λ=2 of the Legendre family, whose weight-2 newform is labeled as 32.2.a.a in LMFDB. …”
Get full text

Chern-Simons invariants from ensemble averages by Meer Ashwinkumar, Matthew Dodelson, Abhiram Kidambi, Jacob M. Leedom, Masahito Yamazaki

“…The resulting partition function can be written as a modular form, expressed as a sum over the partition functions of Chern-Simons theories on lens spaces. …”
Get full text

Strategies for reduction of energy consumption during ascending and descending process of modern telescopic HAPS aerostats by L. Knap, C. Graczykowski, J. Holnicki-Szulc, Z. Wołejsza

“…In this article, the authors propose and investigate a new concept of HAPS aerostat design in a modular form, which allows for sequential increasing or decreasing of the total volume, up to the desired size. …”
Get full text

Modular stormwater blocks. by Ghazali, Abdul Halim

“…The blocks can be used in modular form to suit any area and depth requirement. …”

Architectonic spacer building system. by Ibrahim, Rahinah, Jaganathan, Siva

“…Accordingly, the architectonic spacer building system for skeleton construction which used for developing design assembly for physical building components in a modular industrialised building system (IBS), characterised in that the architectonic spacer building system includes spacer having predetermined shape for use in formulate modular form of building component; wherein the spacer is a piece of physical building assembly component to integrate with various physical building components in prefabrication. …”

Protected couplings and BPS dyons in half-maximal supersymmetric string vacua by Guillaume Bossard, Charles Cosnier-Horeau, Boris Pioline

“…Each of these contributions is weighted by a Fourier coefficient of a meromorphic Siegel modular form, explaining and extending standard results for the BPS index of 1/4-BPS dyons.…”
Get full text

Development of a Multi-Layer Marking Toolkit for Layout-Printing Automation at Construction Sites by Eun Soo Park, Hee Chang Seo, An Yong Lee

“…The marking toolkit and mechanical unit with the multi-layer structure were developed in a modular form so that each module can operate independently. …”
Get full text

Mechanical design and optimal control of humanoid robot (TPinokio) by Teck Chew Wee

“…The mechanism of the TPinokio robot is designed in modular form, so that its kinematics can be modelled accurately into a multiple point-mass system, its dynamics is modelled using the single and double mass inverted pendulum model and zero-moment-point concept. …”
Get full text

An approach to BPS black hole microstate counting in an N = 2 STU model by G.L. Cardoso, S. Nampuri, D. Polini

“…In this regime, the subleading corrections point to a microstate counting formula partly based on a Siegel modular form of weight two. This is supplemented by another modular object that takes into account the dependence on Y 0, a complex scalar field belonging to one of the four off-shell vector multiplets of the underlying supergravity theory. …”
Get full text

Recommendation of Knockdown Building Design at Yogyakarta Sand Dunes (Restricted and Heritage Areas) by Adwitya Bhaskara, Fitri Nugraheni, N. Faried Hanafi

“…Output of this research is recommendation of portable building model in modular form, where the design recommendation has been adjusted with building requirement in heritage and restricted area, which is also an area prone to tsunamis and wind disasters, therefore the recommended building are; easy to remove, easy to disassemble (knockdown), forward tsunami load, efficient cost and time (using cold formed steel material and prefabricated GRC), eco friendly (zero waste), does not require many workers (less man power).…”
Get full text

Modular Rainwater Storage Design Planning in Support of the Urban Infrastructure Systems Program by Kurniawan, A., Abieza, T., Sembada, P.T.S., Jayatri, F.N.M.

“…Urban areas have limited land to support rainwater storage which has large dimensions with the shape of a tube. Therefore, a modular form was developed that can help urban communities who do not have large lands to optimize the potential for rainwater that falls and is used as clean water to supply daily needs. …”
Get full text

Heat Wave Resilient Systems Architecture for Underwater Data Centers by A. A. Periola, A. A. Alonge, K. A. Ogudo

“…Furthermore, the presented research also describes modular form factor approach for UDC development. This is being done with the aim of enhancing UDC adoption and use in capital constrained contexts. …”
Get full text

Flux vacua and modularity for $\mathbb{Z}_2$ symmetric Calabi-Yau manifolds by Philip Candelas, Xenia de la Ossa, Pyry Kuusela, Joseph McGovern

“…These factors are associated with weight-two modular forms, these manifolds being said to be weight-two modular. …”
Get full text

Magnetic Equivalent Circuit Modelling of Synchronous Reluctance Motors by Rekha Jayarajan, Nuwantha Fernando, Amin Mahmoudi, Nutkani Ullah

“…This paper focuses on modelling a generic structure of the SynRM in modular form and is then extended to a full SynRM model. …”
Get full text