1090. The Central Point and Parameter of the Generator of a Ruled Surface

1933 ◽  
Vol 17 (226) ◽  
pp. 321
Author(s):  
E. H. Neville
Keyword(s):  
Ruled Surface ◽  
Central Point

The Curve of Striction of the Bennett Loop’s Fixed Axode

2004 ◽  
Vol 127 (4) ◽  
pp. 607-611 ◽  
Author(s):  
J. Eddie Baker
Keyword(s):  
Ruled Surface ◽  
Central Point ◽  
Algebraic Representation ◽  
Special Significance ◽  
Tangent Surface

In previous work, the algebraic representation of a fixed axode of the Bennett linkage has been revealed as extraordinarily cumbersome. In this sequel we use properties of the ruled surface to determine the central point of a typical generator of the axode and hence its curve of striction as the intersection of two comparatively simple surfaces. Because of its special significance in this case, we also obtain the equation to the central tangent surface. A feature of the investigation is the direct employment of screw vectors in dual format rather than unit line vectors.

Concept of Nabhi – A Review Study

2017 ◽  
Vol 2 (4) ◽  
Author(s):  
Kishor G. Satani ◽  
Hemang U. Raghavani ◽  
Kunjal H. Bhatt
Keyword(s):  
Contemporary Literature ◽  
Physiological Process ◽  
Central Point ◽  
Undigested Food ◽  
Review Study

The central point of body in between Amashaya (location of undigested food) and Pakvashaya (location of digested food) is termed as Nabhi. In classical texts of Ayurveda; scattered references regarding Nabhi are available like Nabhi is mentioned as a vital spot (Marma) of body. Nabhi is also included among the fifteen Koshthangas of body. In Sharirasthana of Sushruta Samhita; Acharya Sushruta mentioned that Sira and Dhamani are originated from Nabhi. Acharya Vagbhatta has quoted Nabhi as a dominant place of Pitta Dosha. Nabhi is an abode of Pranas (vital energy). Available literature and commentary on Nabhi interprets it as a Navel but practically it doesn’t make a sense to stick with this interpretation. Therefore; it is need to review classical texts of Ayurveda and contemporary literature to get clear and unambiguous meaning of the word “Nabhi” now a day. After thoroughly reading and interpreting the literature available regarding Nabhi; core of physiological process would be considered by the term Nabhi.

scholarly journals Effect of Ultrasound-Assisted Extraction Parameters on Total Polyphenols and Its Antioxidant Activity from Mango Residues (Mangifera indica L. var. Manililla)

Separations ◽  
2021 ◽  
Vol 8 (7) ◽  
pp. 94
Author(s):  
Anahí J. Borrás-Enríquez ◽  
Elizabeth Reyes-Ventura ◽  
Socorro J. Villanueva-Rodríguez ◽  
Lorena Moreno-Vilet
Keyword(s):  
Antioxidant Activity ◽  
Mangifera Indica ◽  
Central Point ◽  
Added Value ◽  
Sonication Time ◽  
Ultrasound Assisted Extraction ◽  
Extraction Technology ◽  
Total Polyphenols ◽  
Assisted Extraction ◽  
Ultrasound Assisted

Manililla is a mango variety whose residues contain bioactive compounds such as polyphenols and flavonoids, with high added value. The use of environmentally friendly extraction technology would be of great relevance; hence, this study aimed to evaluate the effect of solvent relation, sonication time and amplitude on the ultrasound-assisted extraction of total polyphenols in Manililla mango residues (peel, endocarp and kernel) and antioxidant activity. An experimental design 23 with a central point was used to evaluate the curvature behavior of the process variables. Conventional maceration was used as a control. The better conditions were obtained at the central point using 50% ethanol in water, 60% amplitude and 20 min of sonication time. We obtained values of up to 1814 mg GAE/100 g, 469 mg GAE/100 g and 672 mg GAE/100 g of total polyphenols and 1228 mg QE/100 g, 653 mg QE/100 g and 880 mg QE/100 g of total flavonoids for peel, endocarp and kernel, respectively. Mangiferin was quantified in ultrasound-assisted extraction at 150 mg/g in peel and 0.025 mg/g in the kernel, but it was not detectable in maceration. An antioxidant capacity of 87%, 14% and 83% inhibition for peel, endocarp and kernel, respectively, were obtained. Peel and kernel were the residues with higher potential as extraction material, while endocarp was not.

scholarly journals On the Bloch–Kato conjecture for Hilbert modular forms

2021 ◽  
Author(s):  
Matteo Tamiozzo
Keyword(s):  
Modular Forms ◽  
Automorphic Forms ◽  
Euler System ◽  
Central Point ◽  
Shimura Curves ◽  
Hilbert Modular Forms ◽  
Reciprocity Laws ◽  
Hilbert Modular ◽  
Special Points

AbstractThe aim of this paper is to prove inequalities towards instances of the Bloch–Kato conjecture for Hilbert modular forms of parallel weight two, when the order of vanishing of the L-function at the central point is zero or one. We achieve this implementing an inductive Euler system argument which relies on explicit reciprocity laws for cohomology classes constructed using congruences of automorphic forms and special points on several Shimura curves.

scholarly journals A Note on Parametric Surfaces in Minkowski 3-Space

2014 ◽  
Vol 2014 ◽  
pp. 1-6
Author(s):  
Esra Betul Koc Ozturk
Keyword(s):  
Linear Combination ◽  
Sufficient Conditions ◽  
Ruled Surface ◽  
Necessary And Sufficient Conditions ◽  
Frenet Frame ◽  
Parametric Surface ◽  
Parametric Surfaces ◽  
Null Curve ◽  
Necessary And Sufficient

With the help of the Frenet frame of a given pseudo null curve, a family of parametric surfaces is expressed as a linear combination of this frame. The necessary and sufficient conditions are examined for that curve to be an isoparametric and asymptotic on the parametric surface. It is shown that there is not any cylindrical and developable ruled surface as a parametric surface. Also, some interesting examples are illustrated about these surfaces.

scholarly journals A topological central point theorem

2012 ◽  
Vol 159 (3) ◽  
pp. 864-868 ◽  
Author(s):  
Roman N. Karasev
Keyword(s):  
Point Theorem ◽  
Central Point
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