Results 51 to 60 of about 33,042 (127)
In this Ph.D. thesis, written under the direction of D.B. Zagier and R.W. Bruggeman, we study the mock theta functions, that were introduced by Ramanujan. We show how they can be interpreted in the theory of (real-analytic) modular forms. In Chapter 1 we give results for Lerch sums (also called Appell functions, or generalized Lambert series).
openaire +2 more sources
AI Based Velocity Calibration for Cassini's Cosmic Dust Analyzer (CDA)
Abstract This paper presents a novel AI‐based velocity calibration method for the Cosmic Dust Analyzer (CDA) onboard the Cassini spacecraft, in particular for impacts on the large Impact Ionization Detector (IID). The legacy polynomial calibration function, derived from laboratory measurements at a dust accelerator facility, assigns a velocity ...
Thomas Albin, Jonas Simolka, Ralf Srama
wiley +1 more source
The Wells–Riley Model Revisited II: Parameter Uncertainty and Population Heterogeneity
ABSTRACT In this work, we revisit the Wells–Riley model, which has been widely used to estimate airborne infection risk in indoor settings. In particular, we consider a probabilistic (i.e., “stochastic”) framework of the Wells–Riley model which allows one to quantify infection risk in terms of the per‐capita probability of infection for each ...
Marcus Marshall +7 more
wiley +1 more source
Orientation reversal and the Chern-Simons natural boundary
We show that the fundamental property of preservation of relations, underlying resurgent analysis, provides a new perspective on crossing a natural boundary, an important general problem in theoretical and mathematical physics.
Griffen Adams +4 more
doaj +1 more source
Abstract The present study examined the cardiovascular, metabolic, neuromuscular and perceptual effects of low‐intensity jumping in simulated lunar gravity (∼20% bodyweight) with blood flow restriction (BFR). Fourteen healthy adults (24 ± 4 years; 1.81 ± 0.06 m; 75 ± 12 kg) completed an incremental jumping test in simulated lunar gravity (9.5° head‐up ...
Patrick Swain +6 more
wiley +1 more source
Mock Theta Functions and Related Combinatorics
In this paper we add to the literature on the combinatorial nature of the mock theta functions, a collection of curious $q$-hypergeometric series introduced by Ramanujan in his last letter to Hardy in 1920, which we now know to be important examples of mock modular forms.
Ballantine, Cristina +5 more
openaire +2 more sources
Nonlinear Response‐History Analyses of Masonry and Mixed Structures With HybriDFEM
ABSTRACT The hybrid discrete‐finite element (HybriDFEM) method, previously developed to perform static and modal analysis in discrete and coupled discrete‐finite element models, is extended to nonlinear response‐history analyses. The equations of motion for the HybriDFEM model are solved through various numerical time‐integration schemes, both explicit
Igor Bouckaert +2 more
wiley +1 more source
Black hole quantum mechanics and generalized error functions
In Type II Calabi-Yau string compactifications, S-duality predicts that suitable generating series of BPS indices counting microstates of D4-D2-D0 black holes are in general mock modular forms of higher depth.
Boris Pioline, Rishi Raj
doaj +1 more source
Microbiota profiling showed colonized critically ill patients had lower values of dominance/evenness (Simpson's index) and richness (Observed), reaching significantly lower values of information (mean difference in Shannon index = –1.18; 95% CI, –1.84 to –0.52; p < 0.001).
Andra‐Elena Goicea +2 more
wiley +1 more source
MOCK THETA FUNCTIONS AS GENERATING FUNCTIONS FOR CERTAIN PLANE PARTITIONS
This paper provides a combinatorial interpretation of mock theta functions as generating functions for certain classes of plane partitions through a uniform procedure. Keywords: Congruence, Cubic partition, 3-core partition.
E. Spreafico, Robson Tavares da Silva
semanticscholar +1 more source

