Use "convex" in a sentence
convex example sentences
convex
1. The Dangler swung the lantern box directly above the hole in the river and instantly the cavern was filled with light, as if the abyss contained a convex mirror to reflect the candle’s orange glow back out, magnified a hundredfold
2. connected to each other by a convex ceiling
3. braced his body behind the convex surface of his shield from
4. The far wall was slightly convex
5. Andalusians are compact and impressive, having a convex head profile, a short and powerful neck, a short back, a sloping croup and a high degree of flexibility in the hind leg joints
6. He passes by all with convex and concave noses
7. concave and convex lenses, she scrambled to read the messages
8. convex surfaces often tend to be easier physically, because they're
9. turns, but the back convex part of a bump, when your tips and tails
10. ski convex rather than good old-fashioned flat
11. Supposing there is a convex curve on the one side, you will often have a concave form on the other
12. In a glassed in convex section of the veranda we were offered an array of fruit juices and
13. rejections with convex lips,
14. The thatched roofs, like fur caps drawn over eyes, reach down over about a third of the low windows, whose coarse convex glasses have knots in the middle like the bottoms of bottles
15. And the same object appears straight when looked at out of the water, and crooked when in the water; and the concave becomes convex, owing to the illusion about colours to which the sight is liable
16. [*] The knife, which is shaped like a crescent, that cuts with the convex side, falls from a less height, and that is all the difference
17. He had coarse features, a blunt nose, a convex and receding brow, tumid and protruded lips
18. he passes, struck by the stare of truculent Wellington, but in the convex mirror grin unstruck the bonham eyes and fatchuck cheekchops of Jollypoldy the rixdix doldy
19. He realized that one wall of the pit was convex and made of some hard substance
20. over eyes, reach down over about a third of the low windows, whose coarse convex glasses have knots in the middle like the bottoms of bottles
21. A very great number of streets which are now convex were then sunken causeways
22. As it was the cabin looked excitingly purposeful,with large video screens ranged over the control and guidance system panels on the concave wall, and long banks of computersset into the convex wall
23. This can be accomplished by transformation of the linear weight function into the convex function
24. Here we demonstrate the application of the simplest method of transforming the linear function into concave and convex ones
25. Let us consider an example of calculating the values of convex and concave weight functions (for n = 2 and n = 0
26. The value of the convex weight function for AAPL stock is calculated as Using the power of n = 0
27. If capital is allocated by the convex function, the weight of the AAPL combination is 0
28. Having both variants of the weight function calculated in the same manner for all of the 20 stocks, we get two ways of capital allocation—by convex and concave weight functions
29. The peculiarity of the convex function is that all its values (except for the extremes) are lower than the corresponding values of the basic linear function
30. At a relatively high level of the original function values, the increment of the convex function is higher than at low levels of the original function values
31. Besides, at high levels of the original function values, the increment of convex function values is larger than the increment of the original function itself
32. Then for the convex function the following inequalities hold:
33. Besides, at low levels of the original function values, the increment of the convex function is smaller than the increment of the original function itself
34. 8 that when capital is allocated using the convex function, four combinations with the highest indicator values have higher weights than they would have if the portfolio was created on the basis of the original weight function (these combinations are situated in the interval of high original function values, where the curve of the convex function is above the straight line of the original function)
35. For one of the combinations, the weights obtained using both the convex and the original functions are the same (this combination is situated at the intersection point of the original and the convex function)
36. The other 14 combinations have lower weights under capital allocation based on the convex function than they would have if the capital was allocated using the original weight function (these combinations are situated within the interval of low original function values, where the convex function curve is below the line of the original function)
37. Apart from that, when the convex function is used, capital allocation within the portfolio becomes more concentrated (several combinations receive the bulk of the capital)
38. Hence, portfolios created on the basis of the convex function are less diversified than portfolios constructed using the concave function
39. During the whole simulation period we had created 6,448 portfolios for the convex function and the same number for the concave function
40. When capital was allocated using the convex weight function (the left chart in Figure 4
41. This means that application of the convex function increases profit
42. This means that when adverse outcomes are realized, losses sustained by portfolios constructed using the convex function exceed losses sustained by portfolios created on the basis of the original function
43. Therefore, our conclusion that application of the convex function for the capital allocation leads to creating more aggressive portfolios (with higher profit potential and a higher risk of losses) is justified
44. Therefore, we can disregard the influence of the intercept and reckon that the profit/loss of portfolios constructed using the convex function is approximately 20% higher than performance of similar portfolios created on the basis of the original weight function (since the slope is 1
45. Regression analysis of the relationship between portfolio profit/loss realized when capital is allocated using the transformed weight function (either convex or concave function) and profit/loss realized when capital is allocated on the basis of the original weight function
46. Our study demonstrates that capital allocation on the basis of the convex function results in the construction of highly concentrated portfolios, in which the bulk of the capital is invested in a few combinations
47. Since the extent of capital concentration reflects portfolio diversification level, we can conclude that capital allocation on the basis of the convex function facilitates creation of less diversified and more aggressive portfolios, while using the concave function facilitates creation of more diversified and conservative portfolios
48. We have proposed the procedure of indicator transformation (based on the convex and concave weight functions) that leads to construction of more (or less) aggressive portfolios, depending on the preferences of the trading strategy developer
49. In this case, the relationship would have a shape of an ascending convex curve that reaches its maximum at the point corresponding to the combination with a zero profit
50. Secondly, the relationship between the differences and the position of combinations in the ordering—albeit remained nonlinear—changed its shape from convex (Figure 3
