This paper reviews the statistical theory of conventional direct and indirect standardization of occurrence/exposure rates. The statistical properties of these methods are investigated under a ...

Abstract: Given a level set E of an arbitrary multiplicative function f, we establish, by building on the fundamental work of Frantzikinakis and Host [14, 15], a structure theorem that gives a ...

Quantum modular forms have emerged as a versatile framework that bridges classical analytic number theory with quantum topology and mathematical physics. Initially inspired by the pioneering work on ...

Reversible circuits for modular multiplication Cx%M with x M arise as components of modular exponentiation in Shor's quantum number-factoring algorithm. However, existing generic constructions focus ...

Dialog is an orchestration layer for VoIP-Agent applications. Two common VoIP-Agent models exist today: the Speech-to-Speech (S2S) model and the Speech-to-Text with Text-to-Speech (STT–TTS) model. The ...

Abstract: With the development of artificial intelligence technology, large language models have shown tremendous potential in professional document generation. However, in document generation tasks ...

Accurately modeling steady-state two-phase flow is critical for the design and operation of systems in the oil and gas industry; however, traditional models often struggle to adapt to specific field ...

When it comes to developing highly effective marketing, WARC is the most trusted source of insight and inspiration for world leading brands, agencies, media owners and academic institutions. With our ...