scholarly journals On pairwise fuzzy almost gp-spaces

2021 ◽  
Vol 5 (2) ◽  
pp. 25-40
Author(s):  
Thangaraj G ◽  
Roseline Gladis E
Keyword(s):  
Second Category ◽  
Bitopological Spaces

In this paper, the concept of pairwise fuzzy almost GP-spaces is introduced by means of pairwise fuzzy dense and pairwise fuzzy Gδ-sets . It is shown that the pairwise fuzzy almost GP-spaces are pairwise fuzzy irresolvable spaces and pairwise fuzzy submaximal spaces are pairwise fuzzy almost GP-spaces. Also it is established that the pairwise fuzzy strongly irresolvable and pairwise fuzzy nodec spaces are pairwise fuzzy almost GP-spaces. The conditions for the fuzzy bitopological spaces to become pairwise fuzzy σ-second category spaces and pairwise fuzzy weakly Volterra spaces are also obtained.

Operations and its applications on L-fuzzy bitopological spaces: Part I

1999 ◽  
Vol 106 (2) ◽  
pp. 255-274
Author(s):  
A. Kandil ◽  
A.S. Abd-Allah ◽  
A.A. Nouh
Keyword(s):  
Bitopological Spaces

scholarly journals Mead Production Using Immobilized Cells of Saccharomyces cerevisiae: Reuse of Sodium Alginate Beads

Processes ◽  
2021 ◽  
Vol 9 (4) ◽  
pp. 724
Author(s):  
Miguel L. Sousa-Dias ◽  
Vanessa Branco Paula ◽  
Luís G. Dias ◽  
Letícia M. Estevinho
Keyword(s):  
Saccharomyces Cerevisiae ◽  
Sodium Alginate ◽  
Fermentation Process ◽  
Immobilized Cells ◽  
Alginate Beads ◽  
Production Medium ◽  
Alcohol Content ◽  
Volatile Acidity ◽  
The Matrix ◽  
Second Category

This work studied the production of mead using second category honey and the immobilized cells of Saccharomyces cerevisiae in sodium alginate, with concentrations of 2% and 4%, and their reuse in five successive fermentations. The immobilized cells with 4% alginate beads were mechanically more stable and able to allow a greater number of reuses, making the process more economical. The fermentation’s consumption of sugars with free cells (control) and immobilized cells showed a similar profile, being completed close to 72 h, while the first use of immobilized cells finished at 96 h. The immobilized cells did not significantly influence some oenological parameters, such as the yield of the consumed sugars/ethanol, the alcohol content, the pH and the total acidity. There was a slight increase in the volatile acidity and a decrease in the production of SO2. The alginate concentrations did not significantly influence either the parameters used to monitor the fermentation process or the characteristics of the mead. Mead fermentations with immobilized cells showed the release of cells into the wort due to the disintegration of the beads, indicating that the matrix used for the yeast’s immobilization should be optimized, considering the mead production medium.

scholarly journals Preimages of Residual Sets of Continuous Functions under Operation of Superposition

2005 ◽  
Vol 12 (4) ◽  
pp. 763-768
Author(s):  
Artur Wachowicz
Keyword(s):  
Banach Space ◽  
Continuous Functions ◽  
Real Functions ◽  
Second Category ◽  
Residual Sets

Abstract Let 𝐶 = 𝐶[0, 1] denote the Banach space of continuous real functions on [0, 1] with the sup norm and let 𝐶* denote the topological subspace of 𝐶 consisting of functions with values in [0, 1]. We investigate the preimages of residual sets in 𝐶 under the operation of superposition Φ : 𝐶 × 𝐶* → 𝐶, Φ(𝑓, 𝑔) = 𝑓 ○ 𝑔. Their behaviour can be different. We show examples when the preimages of residual sets are nonresidual of second category, or even nowhere dense, and examples when the preimages of nontrivial residual sets are residual.

scholarly journals Some Modifications of Pairwise Soft Sets and Some of Their Related Concepts

Mathematics ◽  
2021 ◽  
Vol 9 (15) ◽  
pp. 1781
Author(s):  
Samer Al Ghour
Keyword(s):  
Topological Space ◽  
Sufficient Conditions ◽  
Soft Sets ◽  
New Concepts ◽  
Bitopological Spaces ◽  
The Relationship ◽  
Soft Topological Space

In this paper, we first define soft u-open sets and soft s-open as two new classes of soft sets on soft bitopological spaces. We show that the class of soft p-open sets lies strictly between these classes, and we give several sufficient conditions for the equivalence between soft p-open sets and each of the soft u-open sets and soft s-open sets, respectively. In addition to these, we introduce the soft u-ω-open, soft p-ω-open, and soft s-ω-open sets as three new classes of soft sets in soft bitopological spaces, which contain soft u-open sets, soft p-open sets, and soft s-open sets, respectively. Via soft u-open sets, we define two notions of Lindelöfeness in SBTSs. We discuss the relationship between these two notions, and we characterize them via other types of soft sets. We define several types of soft local countability in soft bitopological spaces. We discuss relationships between them, and via some of them, we give two results related to the discrete soft topological space. According to our new concepts, the study deals with the correspondence between soft bitopological spaces and their generated bitopological spaces.

scholarly journals Generalized ψ∗-closed sets in bitopological spaces

2015 ◽  
Vol 23 (3) ◽  
pp. 527-534 ◽  
Author(s):  
H.M. Abu Donia ◽  
M.A. Abd Allah ◽  
A.S. Nawar
Keyword(s):  
Closed Sets ◽  
Bitopological Spaces

Assessment of Tandem Venturi on Enhancement of Cavitational Chemical Reaction

2008 ◽  
Vol 131 (1) ◽  
Author(s):  
Hoseyn Sayyaadi
Keyword(s):  
Chemical Reaction ◽  
Oxidation Process ◽  
Flow Characteristics ◽  
Chemical Oxidation ◽  
Cavitation Number ◽  
Cavitating Flow ◽  
Hydrodynamic Cavitation ◽  
Operating Pressure ◽  
Local Pressures ◽  
Second Category

The collapsing phenomenon of cavitation bubbles generates extremely high local pressures and temperatures that can be utilized for the chemical oxidation process. This process is carried out in cavitation reactors. A Venturi tube is one of the most common forms of hydrodynamic cavitation reactors, which is suitable for industrial scale applications. In this work, the hydraulic performance and efficiency in chemical reaction of a new form of hydrodynamic cavitation reactors, which is called “tandem Venturi,” were studied and compared with the conventional type of the single Venturi. The tandem Venturi is used for enhancement of the chemical reaction of hydrodynamic cavitating flow. The reaction enhancement is useful especially for the reaction of aqueous solutions not containing volatile organic compounds (VOCs). The operating pressure, inlet pressure, flow rate, and consequently the cavitation number were controlled and systematically varied for both single and tandem Venturis. Moreover, a specified amount of H2O2 was injected into the flow as required. The effects of operating pressure and the cavitation number on cavitating flow characteristics for single and tandem Venturis were experimentally observed and the results were compared. In addition, the performance of the tandem-Venturi reactor for degradation of non-VOC contaminants (2-chlorophenol) was studied. Its performance was compared with the performance of a conventional Venturi reactor. Two different categories were conducted for the experiments. In the first category, the effect of the net cavitating flow on degradation of non-VOC for the single and tandem Venturis was compared. In the second category, the effect of H2O2 injection into the cavitating flow on degradation of non-VOC (“cavitation-oxidation” process) was studied. The performance of the single and tandem Venturis for the cavitation-oxidation process was compared. Further investigation was performed to assess the advantage of utilizing the tandem Venturi from the viewpoint of efficiency of the oxidation process. The results of the energy efficiency were compared with the corresponding efficiency of the single Venturi. Finally, the relationship between the main parameters of cavitation reaction flow with the chemical performance was discussed.

scholarly journals A Hofmann–Mislove theorem for bitopological spaces

2008 ◽  
Vol 76 (2) ◽  
pp. 161-174 ◽  
Author(s):  
Achim Jung ◽  
M. Andrew Moshier
Keyword(s):  
Bitopological Spaces

Innovation in the Seed Market: The Role of IPRs and Commercialization Rules

2016 ◽  
Vol 14 (1) ◽  
Author(s):  
Marc Baudry ◽  
Adrien Hervouet
Keyword(s):  
Product Differentiation ◽  
Economic Consequences ◽  
Vertical Product Differentiation ◽  
Legal Rules ◽  
Sequential Innovation ◽  
Seed Market ◽  
Second Category ◽  
The Impact ◽  
Compulsory Registration

AbstractThis article deals with the impact of legal rules on incentives in the seeds sector to create new plant varieties. The first category of rules consists in intellectual property rights and is intended to address a problem of sequential innovation and R&D effort. The second category concerns commercial rules that are intended to correct a problem of adverse selection. We propose a dynamic model of market equilibrium with vertical product differentiation that enables us to take into account the economic consequences of imposing either Plant Breeders’ Rights (PBRs) or patents as IPRs and either compulsory registration in a catalog or minimum standards as commercialization rules. The main result is that the combination of catalog registration and PBRs adopted in Europe is hardly supported by the model calibrated on data for wheat in France.

Histochemical and Morphological Studies of Lipids in the Oogenesis of Pheretima posthuma

1958 ◽  
Vol s3-99 (48) ◽  
pp. 475-484
Author(s):  
VISHWA NATH ◽  
BRIJ L. GUPTA ◽  
S. L. MANOCHA
Keyword(s):  
Phase Contrast ◽  
Chemical Change ◽  
Follicular Epithelium ◽  
Cholesteryl Esters ◽  
Lipid Bodies ◽  
Interference Microscope ◽  
Phase Contrast Microscope ◽  
Morphological Studies ◽  
Contrast Microscope ◽  
Second Category

A study of the oocytes of the earthworm, Pheretima posthuma, examined fresh under the phase-contrast and interference microscopes as well as by histochemical techniques, has revealed that there are two types of lipid bodies in the cytoplasm. The lipid bodies of the first type (L1) are smaller, appear as homogeneous, dark granules under the phase-contrast microscope, and have a protein-phospholipid core surrounded by a thick sheath of phospholipids only. The lipid bodies of the second category (L2), which arise as a result of growth and chemical change in L1 bodies, have a pure phospholipid core surrounded by a thick triglyceride sheath. They give a ringed appearance under the phase-contrast microscope. The study under the interference microscope shows that this ringed appearance is an optical artifact. The lipid spheres present in the follicular epithelium contain phospholipids only. The mitochondria are in the form of minute granules. They remain unchanged throughout oogenesis. Some vacuoles devoid of any lipids, proteins, or carbohydrates have been observed. They also remain unchanged. Pure triglyceride spheres, yolk globules, nucleolar extrusions, as well as cholesterols and cholesteryl esters are absent.

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