Most pharmaceutical manufacturing processes include a series of crystallization processes to increase purity with the last crystallization used to produce crystals of desired size, shape, and crystal form. The fact that different crystal forms (known as polymorphs) can have vastly different characteristics has motivated efforts to understand, simulate, and control polymorphic crystallization pr...

One-dimensional maps showing chaotic intermittency with discontinuous reinjection probability density functions are studied. For these maps, the mechanism possesses two different processes. The M function methodology is applied to analyze complete and determine function. In M(x) continuous non-differentiable. Theoretical equations found for Finally, theoretical results compared numerical data f...

to date, most studies have focused on continuous aerobic training and there is not comprehensive information about the influence of discontinuous aerobic training on cardiovascular risk biomarkers. taking this into consideration, the purpose of the present study is to investigate the influence of an 8-week discontinuous aerobic training program (3×10 min) on cardiovascular risk biomarkers in in...

Recycling of greenhouse gases to produce industrially valuable products has become one the big pillars achieve circularity. This study demonstrates for first time feasibility producing ectoine with Halomonas stevensii CO 2 as added carbon source, and glucose . Initially, alone was fed continuous reactors, adding thiosulphate energy source. Maximum elimination capacities 24.2 mg L ?1 h were obta...

In this paper, we develop stability, dissipativity, and optimality notions for dynamical systems with discontinuous vector fields. Specifically, we consider dynamical systems with Lebesgue measurable and locally essentially bounded vector fields characterized by differential inclusions involving Filippov set-valued maps specifying a set of directions for the system velocity and admitting Filipp...

Using high-frequency data, we decompose the time-varying beta for stocks into beta for continuous systematic risk and beta for discontinuous systematic risk. Estimated discontinuous betas for S&P500 constituents between 2003 and 2011 generally exceed the corresponding continuous betas. We demonstrate how continuous and discontinuous betas decrease with portfolio diversification. Using an equiwe...

We prove a result on the fractional Sobolev regularity of composition paths low with functions bounded variation. The relies notion variability, proposed by us in previous article [43]. Here we work under relaxed hypotheses, formulated terms norms, and can allow discontinuous paths, which is new. applies to typical realizations certain Gaussian or Lévy processes, use it show existence Stieltjes...