Orientations with the highest Schmid factors (0.45 0.5) for twinning display twin aspect ratios greater by ∼40% and twin number densities greater by ∼10 times than orientations with maximum Schmid factors for twinning of 0.15 0.2.
As the twin number per grain (quantified by the ratio of the mean grain size to the twin boundary spacing d/λ) increases, detwinning increases the dissipated energy of fatigue cracking, leading to enhanced fatigue resistance.
It is shown that the most favored (highest Schmid factor) twin variant contributes the most to the twin number fraction; however, if the measured local stress within each grain is used for the calculation of Schmid factor, the contribution of other variants is relatively independent of Schmid factor.
Actually, the twin numbers are for Earl Monroe and Dick McGuire.
We used twin numbers used in the population based twin registry when entering the data and thereby preventing identification by the researchers but maintaining the link between the data and identity of the twins (linked but anonymous data).
Data were available for between 654 and 1082 individual twins depending on anatomical site studied (Table 1): for reasons of funding, twin numbers vary for the plain films of the hands, hips and knees.
The imbalance in the twins' numbers could create discord in their lives, but somehow it doesn't.
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Within the population of grains containing twins the number of twins per grain noticeably increases with grain area, and twin thickness is found to be rather insensitive to grain size and orientation.
In the United States, the Twin Cities' number of theater seats per capita ranks behind only New York City; with some 2.3 million theater tickets sold annually.
Some are very hard, like 'Are there infinitely many twin prime numbers?', some are of medium difficulty, like 'Are there infinitely many prime numbers?', some are easy like 'Are there prime numbers?', and some are completely trivial, like 'Are there numbers?'.
