Labyrinth weirs have not a straight crest in the perpendicular direction to the flow. The plan view of the weir consists of multiple and broken linear crests that cause the increase of its effective length. The advantages of this type of weirs are higher discharge capacity, easy aeration as well as low fluctuations of water surface at the weir upstream. This paper deals with the simulation of t...

Nevertheless, a 2 × 2 determinant would be less surprising* than a 4 × 4 determinant. What follows originates from work ([AC], see also [A3] and [C1]) done in collaboration with Alain Albouy on the symmetries of the n-body Problem and their reduction. That work generalizes Lagrange’s fundamental memoir [L] to more than three bodies. In it one understands that the above determinant is simply a m...

1 SOF Analysis Plan Submission Form Date: October 20, 2010 Investigator’s Name: Tina Hoang Clinical Center: UCSF Sponsor (if not a SOF investigator): Kristine Yaffe Telephone:415-221-4810 ext 3792 e-mail: [email protected] Other investigators who will be working on this analysis: Peggy Cawthon Analysis Plan Title: The relationship between alcohol consumption and cognitive outcomes in the oldest...

(a) The medians intersect in a point interior to the triangle, called the centroid, which divides each of the medians in the ratio 2 : 1. (b) The medians form a new triangle, called the median triangle. (c) The area of the median triangle is 3/4 of the area of the given triangle in which the medians were constructed. (d) The median triangle of the median triangle is similar to the given triangl...

Is it possible that the lengths of two sides of a primitive Heron triangle have a c ommon factor? The triangle with sides 9, 65, 70 and area 252 shows that this is possible. But notice that the common factor 5 is a prime of the form 4+1. Surprisingly, however, such a common factor cannot be a prime of the form 4 ; 1. Heron's name is familiar to anyone who has used the formula = p s(s ; a)(s ; b...