SO(p, q) = {g ∈ SLp+q(R) : g>Qg = Q} (where Q = ( 1p 0 0 −1q ) )  SU(2) −→ SO(3) SL2(R) −→ SO(2, 1) SU(2)× SU(2) −→ SO(4) SL2(C) −→ SO(3, 1) SL2(R)× SL2(R) −→ SO(2, 2) Sp∗(2, 0) −→ SO(5) Sp∗(1, 1) −→ SO(4, 1) Sp2(R) −→ SO(3, 2) SU(4) −→ SO(6) SL2(H) −→ SO(5, 1) SU(2, 2) −→ SO(4, 2) SL4(R) −→ SO(3, 3) Thus, these are small examples...

was to inflate the tunnel, as you would blow up a bladder, by corking up one end with a huge brick wall twelve feet thick and pumping in additional atmospheres. At the sea level the pressure of the atmosphere is well known to be about fifteen pounds per square inch ; but into this air-tight chamber the engineers pumped sometimes as much as an additional thirtyfive pounds to the square inch, so ...

Dr. T. IS. 13. Brown, the Principal of the Lahore Medical College, gives a short but very interesting description of maggots, in his Annual Report of the Mayo Hospital for 1872, page 5, para. 33. As to their origin he says "there can be no doubt that these animals are produced from egg3 deposited by flies in the injured parts, and that they are also sometimes developed in the nose without any s...

A $Gamma$-so-ring is a structure possessing a natural partial ordering, an infinitary partial addition and a ternary multiplication, subject to a set of axioms. The partial functions under disjoint-domain sums and functional composition is a $Gamma$-so-ring. In this paper we introduce the notions of subdirect product and $(phi,rho)$-product of $Gamma$-so-rings and study $(phi,rho)$-represen...

The game of Twenty Questions has long been used to illustrate binary source coding. Recently, a physical device has been developed that mimics the process of playing Twenty Questions, with the device supplying the questions and the user providing the answers. However, this game differs from Twenty Questions in two ways: Answers need not be only “yes” and “no,” and the device continues to ask qu...

Federico and Perez, in a recent issue of The Journal of Physiology, provide new insight into the impact of incomplete spinal cord injury (SCI) on corticospinal preparation for movement (Federico & Perez, 2017). In people with chronic incomplete cervical SCI and age-matched control subjects, they measured motor evoked potentials evoked by cortical (MEPs) or subcortical (CMEPs) stimulation and sh...

Efficient optimal prefix coding has long been accomplished via the Huffman algorithm. However, there is still room for improvement and exploration regarding variants of the Huffman problem. Length-limited Huffman coding, useful for many practical applications, is one such variant, for which codes are restricted to the set of codes in which none of the n codewords is longer than a given length, ...