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ON CONFIGURATIONS OF POINTS ON THE SPHERE AND APPLICATIONS TO APPROXIMATION OF HOLOMORPHIC FUNCTIONS BY LAGRANGE INTERPOLANTS

Eutocius’ Commentary to On the Sphere and the Cylinder I

Eutocius’ Commentary to On the Sphere and the Cylinder I

... and went on to discuss the expression on the same side” and its application for the definition of “concave in the same direction.” Only the diagram for 245 to t h e d e f i n i t i on s Γ N K ... that lines concave in the same direction are identified, it is possible to take, on some line, concave in the same direction, two chance points, so that the line joined to them will fall on neither ... becomes £ in Eutocius; the word order in the phrase the straight lines joining their limits” differs slightly between the two versions Point shows that Eutocius is willing to change the original...
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Eutocius’ Commentary to On the Sphere and the Cylinder II

Eutocius’ Commentary to On the Sphere and the Cylinder II

... , so the on the second;280 (3) therefore it is: as P to on P to the on K (4) But as the on P to the on K, so the on K to the on , so the ; ... )) 266 to “Therefore as P to , the on K to the on ” (1) For since it is: as P to K, K to , (2) therefore also: as the first to the second, so the on the first to the ... as the on A to the on AB, so the on B to the on BE (6) But as the on A to the on AB, so A to AE;242 (7) for as the first to the third, so the...
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On the Sphere and the Cylinder, Book I

On the Sphere and the Cylinder, Book I

... passive and active voice, and it is meaningful The active voice of Proposition signifies the real action of bisecting The passive voice of Proposition signifies the virtual action of contemplating ... propositions in this book contain partial repetitions of earlier propositions This proposition partially repeats Proposition Repetitions arise because the same argument is applied to more than a single ... of the lines of Definition This is strange, since the only function of Definition is to introduce Definition (indeed, since originally the definitions were not numbered or divided, we should think...
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On the Sphere and the Cylinder, Book II

On the Sphere and the Cylinder, Book II

... , on Z,212 (9) and the of the by H A, on A, is the of the on A, on H;213 (10) therefore that the on A, on H, has to the on , on ... again as the sphere has the axis equal to the diameter of the sphere, (7) and the circle K is greatest of to the in the sphere] ;12 (8) therefore as the on the on H , ... begun, and cases are taken with greater care The operation of “imagination:” the border between the conceptual and spatial The construction furnishes us with a new handle on the operation of imagination:...
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Tài liệu Manual on the Production and Use of Live Food for Aquaculture - Phần 1 pptx

Tài liệu Manual on the Production and Use of Live Food for Aquaculture - Phần 1 pptx

... organisms as feed for the developing larvae The aim of the present manual was therefore to review and summarise the latest developments concerning the production and use of the major live food organisms ... also the production and use of live food organisms as feed for the developing larvae The present manual describes the major production techniques currently employed for the cultivation of the ... Bijnens, Magda Vanhooren and March Verschraeghen for their assistance with the layout of the manual Lavens, P; Sorgeloos, P (eds.) Manual on the production and use of live food for aquaculture FAO Fisheries...
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Tài liệu Manual on the Production and Use of Live Food for Aquaculture - Phần 2 doc

Tài liệu Manual on the Production and Use of Live Food for Aquaculture - Phần 2 doc

... - - Urea 7.5 - 1 2- 1 5 - 1 0-1 5 Calcium superphosphate 25 15 50 - - - Clewat 32 - - - - - N:P 16 /20 fertilizer - - - 1 0-1 5 - - N:P:K 1 6 -2 0 -2 0 - - - - 1 2- 1 5 - N:P:K 1 4-1 4-1 4 - - - - - 30 2. 3.1 .2 ... 7. 92 Algal-1 4.11 32. 22 8.83 8.65 Walne 4.04 13.37 13 .22 22 .28 ES 4 .24 14.88 15.73 23 .94 F /2 4.97 13 .26 17.91 23 .67 Algal-1 8.45 18. 82 11.08 18.18 Walne 10.11 5.17 4 .28 25 .95 ES 12. 09 7 .23 5 .21 ... Malony 0.1 0.4 1 0-1 5 5-1 50 10 2- 1 05 4.103 0 .2 1 0 -2 0 5-7 5 10 4-1 07 Speirs Levy Improved Neaubouer 2. 104 0.1 2 0-4 0 (phase) 2- 3 0 10 4-1 07 Petroff Houser 2. 105 0. 02 4 0-1 00 0. 5-5 10 4-1 08 Cellular volume is...
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Tài liệu Manual on the Production and Use of Live Food for Aquaculture - Phần 3 ppt

Tài liệu Manual on the Production and Use of Live Food for Aquaculture - Phần 3 ppt

... - 150 0. 53 53 - 80 150 - 200 0.47 70 - 93 200 - 250 0.40 80 - 100 250 - 30 0 0 .37 92 - 110 30 0 - 35 0 0 .33 100 - 117 35 0 - 400 0 .30 105 - 120 400 - 450 0.27 107 - 120 450 - 500 0. 23 105 - 117 > ... Upscaling of stock cultures to starter cultures 3. 5 .3. 3 Mass production on algae 3. 5 .3. 4 Mass production on algae and yeast 3. 5 .3. 5 Mass culture on yeast 3. 5 .3. 6 Mass culture on formulated diets 3. 5 .3. 7 ... generations of offspring before they eventually die The reproduction activity of Brachionus depends on the temperature of the environment as illustrated in Table 3. 1 The life cycle of Brachionus...
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Tài liệu Manual on the Production and Use of Live Food for Aquaculture - Phần 4 pptx

Tài liệu Manual on the Production and Use of Live Food for Aquaculture - Phần 4 pptx

... A par Basra - - Dayala - - Mahmoodia - - Urmia Lake B A urm Schor-Gol - - Shurabil - - Athlit - - Eilat North P A par Eilat South - - Chang Dao - - Tamano - - Yamaguchi P A par - - India Madras ... specific and remain relatively constant, (i.e they have become genotypical as a result of long-term adaptations of the strain to the local conditions; see chapter 4. 1.2 .4) 4. 1.2 .4 Strain-specific ... Vedaranyam - - Veppalodai - - Pattanamaruthur - - Spic Nagar - - Thirespuram - - Karsewar Island - - Saltwater springs P A par Harbour - - India Kanyakumari Thamaraikulam P A par Iraq Abu-Graib,...
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Tài liệu Manual on the Production and Use of Live Food for Aquaculture - Phần 5 docx

Tài liệu Manual on the Production and Use of Live Food for Aquaculture - Phần 5 docx

... weeks, the use of decapsulated cysts constitutes a saving of over one third in the amount of Artemia cysts used, compared to the use of live nauplii Table 4.2.4 The proximate composition (in % of ... valorization of an otherwise inferior product The cysts have the appearance and the practical advantages of a dry feed and, in contrast to Artemia nauplii (47 0 -5 50 µm), their small particle size (20 0-2 50 ... nauplii it is converted into the more stable trans-canthaxanthin 4.2 .5 Hatching 4.2 .5. 1 Hatching conditions and equipment 4.2 .5. 2 Hatching quality and evaluation 4.2 .5. 1 Hatching conditions and equipment...
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Tài liệu Manual on the Production and Use of Live Food for Aquaculture - Phần 6 docx

Tài liệu Manual on the Production and Use of Live Food for Aquaculture - Phần 6 docx

... 2 0-2 3 3. 0-4 .3 3-1 1 5-7 2 4-2 7 1 4-1 7 7-1 0 1 7-2 0 1 0-1 5 2 8-2 9 2-5 3 0-3 4 20 1 0-1 5 1 0-1 5 3 5-3 7 20 2 0-3 0 3 8-4 1 0.05 20 3 0-4 0 Start of weaning 2 0-1 5 1 5-1 0 4 5-5 5 1 5-2 5 1 0-0 0.08 4 0-5 0 4 5-5 5 4 5-5 5 For example, ... P monodon PL-15 and the osmotic resistance of PL-10 This has recently been confirmed with the production characteristics of P monodon PL-10 and PL-20 being significantly improved when HUFA-fortified ... levels of thiamin ( 7-1 3 µg.g-1), niacin (6 8-1 08 µg.g-1), riboflavin (1 5-2 3 µg.g-1), pantothenic acid (5 6- 7 2 µg.g-1) and retinol (1 0-4 8 µg.g-1) A stable form of vitamin C (ascorbic acid 2-sulphate)...
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Tài liệu Manual on the Production and Use of Live Food for Aquaculture - Phần 7 pptx

Tài liệu Manual on the Production and Use of Live Food for Aquaculture - Phần 7 pptx

... and attractive for the predators Table 4.4.3 Artificial seawater formulations used for tank production of Artemia (ing.l-1) For the Dietrich and Kalle formulation, solutions A and B are prepared ... influence the feeding behavior of Artemia by affecting the filtration rate, ingestion rate and/ or assimilation: including the quality and quantity of the food offered, the developmental stage of the ... the food tank should be large enough to hold the highest daily food ration at a maximum concentration of 200 g food. l-1 Even at these concentrations, the food suspension is so thick that the...
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Báo cáo hóa học:

Báo cáo hóa học: " Research Article Results on the Existence and Convergence of Best Proximity Points" pot

... is a verbatim repetition of the proof of Theorem in We omit the details As an application of Theorem 2.5, we will prove a theorem on the existence and approximation of common fixed points for two ... the function ϕ satisfies either of the conditions i or ii of Lemma 2.2, then all three theorems Theorems 10, 11, and 12 of can be generalized to cyclic ϕ-contraction maps We omit the details The ... ∈ B In the authors were able to establish some existence and convergence results for these mappings Moreover, they proved the existence of a best proximity point for a cyclic contraction map...
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ON CONFIGURATIONS OF POINTS ON THE SPHERE AND APPLICATIONS TO APPROXIMATION OF HOLOMORPHIC FUNCTIONS BY LAGRANGE INTERPOLANTS

ON CONFIGURATIONS OF POINTS ON THE SPHERE AND APPLICATIONS TO APPROXIMATION OF HOLOMORPHIC FUNCTIONS BY LAGRANGE INTERPOLANTS

... Sauer and Y Xu, Regular points for Lagrange interpolation on the unit disk, Numer Algorithms., 12:287296, 1996 [18] J Siciak, On some extremal functions and their applications in the theory of analytic ... is the open ball (resp closed ball) of center z ∈ CN and radius R > Let A be a nonempty set Let An denote the class of subsets of A containing n elements C ONFIGURATIONS OF POINTS ON THE SPHERE ... N −1 On the other hand, if Vd is not N-independent, then we set hVd = By definition, hVd is independent of the ordering of the vectors in Vd In the result below, we fix an order of Vd and identify...
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