Secondary drop breakup due to shockwave disturbances was studied for the multimode breakup regime, emphasizing the tempera1 evolution of breakup. Measurements were carried out in a shock tube using pulsed shadowgraphy and holography to observe the mechanism and outcome of breakup. Test conditions involved liquid/gas density ratios greater than 500, Ohnersorge numbers less than 0.1 and Weber num...

We say that a group is almost abelian if every commutator is central and squares to the identity. Now let G be the Galois group of the algebraic closure of the field Q of rational numbers in the field C of complex numbers. Let Gab+ be the quotient of G universal for continuous homomorphisms to almost abelian profinite groups, and let Qab+ /Q be the corresponding Galois extension. We prove that ...

The patient was a 21-year-old man with a lifelong history of skin lesions (well-defined port wine stains) on the right thigh, which had exhibited progressive growth, accompanied by pain and ulceration. Physical examination revealed hypertrophy of the right lower extremity and venous varicosities, with an ischemic ulcer in the medial malleolus. There was a palpable thrill and audible murmur in t...

A fourteen month old infant was admitted for evaluation because of continuous high fever and an indurated nodular lesion at the left thigh of one month course. After admittance painful inflammatory subcutaneous nodules appeared in the face and trunk, these were accompanied by enlarged cervical lymph nodes and hepatomegaly. Histological evaluation of the skin biopsy showed destruction of subcuta...

Assignment: Each of you should write a couple of pages, identifying important comparisons between the two theorists. The comparisons should concern important analytical themes or styles of theorizing--the kinds of issues discussed in the "handouts" meant to guide your group papers and those raised in class. You may focus on one comparison or identify several. For each, try to state the issue, i...

A generalisedWeber function is wN (z) = η(z/N)/η(z) where η(z) is the Dedekind function and N is any integer (the original function corresponds to N = 2). We give the complete classification of cases where some power w N evaluated at some quadratic integer generates the ring class field associated to an order of an imaginary quadratic field. We compare the heights of our invariants by giving a ...

the sturge-weber syndrome or encephalotrigeminal angiomatosis is a rare neurological and congenital disorder with a frequency of 1 in 50,000 births. this syndrome is a nonhereditary developmental condition and is characterized by the presence of congenital capillary malformation and a hamartomatous vascular proliferation involving the face (port-wine stain or facial birthmark), sometimes skull ...

How does the physics community deal with the subsequent work of a scientist whose earlier work has been regarded as incorrect? An interesting case of this involves Joseph Weber whose claim to have observed gravitational waves was rejected by virtually all of the physics community, although Weber himself continued to defend his work until his death in 2000. In the course of this defense Weber ma...