The photolysis of 2-azido-1,4-naphthoquinone (1) in argon matrices at 8 K results in the corresponding triplet vinylnitrene 32, which was detected directly by IR spectroscopy. Vinylnitrene 32 is stable in argon matrices but forms 2-cyanoindane-1,3-dione (3) upon further irradiation. Similarly, the irradiation of azide 1 in 2-methyltetrahydrofuran (MTHF) matrices at 5 K resulted in the ESR. Median investigator-assessed progression-free survival (PFS) reached 15.1 months for those randomized to atezolizumab, as compared with 10.6 months for those assigned to placebo (HR 0.78, 95% CI 0.
- With the triplet regimen, the complete response rate was 15.7%, the partial response rate was 50.6%, and the stable disease rate was 22.7% compared with 17.1%, 48.0%, and 22.8% in the placebo arm. By 24 months, the OS rate was 76.7% with the triplet versus 76.1% in the placebo arm. The median OS with the triplet was 28.8 months (95% CI, 27.4-NE.
- The Interconnection Database.
- When This Mother Had Triplets, The Chances Of Their Birth Were One In A Million Voiceover by Scott Leffler - scottleffler.com For copyright i.
A 'Pythagorean Triple' is a set of positive integers, a, b and c that fits the rule:
a2 + b2 = c2
Example: The smallest Pythagorean Triple is 3, 4 and 5.
Let's check it:
32 + 42 = 52
Calculating this becomes:
9 + 16 = 25
Yes, it is a Pythagorean Triple!
Triangles
When a triangle's sides are a Pythagorean Triple it is a right angled triangle.
See Pythagoras' Theorem for more details.
Example: The Pythagorean Triple of 3, 4 and 5 makes a Right Angled Triangle:
Here are two more Pythagorean Triples:
5, 12, 13 | 9, 40, 41 |
52 + 122 = 132 | 92 + 402 = 412 |
25 + 144 = 169 | (try it yourself) |
And each triangle has a right angle!
![Triplet Triplet](https://sklep.arlekin.design/504-thickbox_default/opal-bialy-1312-ct.jpg)
List of the First Few
Here is a list of the first few Pythagorean Triples (not including 'scaled up' versions mentioned below):
(3, 4, 5) | (5, 12, 13) | (7, 24, 25) | (8, 15, 17) |
(9, 40, 41) | (11, 60, 61) | (12, 35, 37) | (13, 84, 85) |
(15,112,113) | (16, 63, 65) | (17,144,145) | (19,180,181) |
(20, 21, 29) | (20, 99,101) | (21,220,221) | (23,264,265) |
(24,143,145) | (25,312,313) | (27,364,365) | (28, 45, 53) |
(28,195,197) | (29,420,421) | (31,480,481) | (32,255,257) |
(33, 56, 65) | (33,544,545) | (35,612,613) | (36, 77, 85) |
(36,323,325) | (37,684,685) | ... infinitely many more ... |
Scale Them Up
The simplest way to create further Pythagorean Triples is to scale up a set of triples.
Triplet 1 0 45
Example: scale 3, 4, 5 by 2 gives 6, 8, 10
Which also fits the formula a2 + b2 = c2:
62 + 82 = 102
Triplet 1 0 49
36 + 64 = 100
Triplet 1 0 4 X 4
If you want to know more about them read Pythagorean Triples - Advanced