T he four-color theorem [1, 2] is one of the most well-known results in graph theory. Originating from the question of coloring a world map, posed in the middle of the nineteenth century, it has since fascinated hundreds of researchers and motivated a lot of beautiful mathematics. It states that every planar graph (that is, a graph that can be drawn in the plane without crossings) can be proper...

In the field of English literature, William Butler Yeats is greatest poet and connection between nineteenth twentieth centuries. He a multifaceted person who lyric poet, shaman, mythologist, romantic. with political agenda (to small extent); prophetic outlook mystic philosophy; expertise dramaturgy experiments. The aim this paper to investigate impact India Hinduism on his poetry. It claims tha...

~~'he t hermal conductivity of CO 2 has been m.easured in a coaxia l cyl inder cell as a fu nctIO n of pressure over a range of t emperatures from 3.66 to 75.26 °C. P ar Licular attention was given to t he measurement s from 1 to 9 deg C above t he cri tical t emperature at pressures closely spaced to i nclude t he crit ical density. The t hermal co ndu ctivity of CO2(0) near t he cri tical poi...

Mass spectra of C(CI-I3)" Si(CI-I3)" Ge(CI-I3)" Sn(CI-I3)" and Pb (CI-Ia), were obtained with a Consolidated 21103 mass spectrometer. I sotopic abundan ces of carbon , si licon , germanium, tin, and lead were obtained from t he observed spectra and used to calculate the monoisotopic spectra. The mass spectra of t he Group IV tetramethyls a re qualitatively similar. The principal ion in each cas...

For t he discussion below t he following definit ions are helpful. A semito-talistic CA rule is a rul e for a cellular aut omaton (CA) where (a) we tally t he living neighbors t o a cell without regard to their orient atio n wit h respect t o th at cell, and (b) t he ru le applied t o a cell may depend upon its current status. A lifelike rule (LFR rul e) is a semit otalist ic CA rul e where (1)...

Ralph Bernal was one of the most eminent collectors his age, distinguished ‘by perfection taste, as well extent knowledge’. He also owned three Jamaican plantations and enslaved over 500 people. This article will interrogate complex ways that enslavement, race, culture taste were intertwined in nineteenth-century Britain. It argue we should not uncritically celebrate ‘the connoisseur’ without i...

The spectral absorption of th in fi lms of cellulose acetate, regenerated cellulose, t he a ce tate and regenerated cellulose after oxid ation with nitrogen d ioxide gas, a nd t he regenerated cell ulose after oxida tion with periodic acid followed by chlorous aci d, a re recorded fo r the infra red from 2 to 15 mi Cl'Ons and the ultraviolet from 215 to 400 mill imicrons. T he regenerated cellu...

The present a rt icle deals with t he calculation of t he electric field strength at t h e ground p lane near electrically small top-loaded a ntenn as having a known current distribution, with s pecial reference to Land T-a ntennas . The formulas a nd numerical values obtained here fo), t his component may be used in calculating t he contribu t ion to t he ground losses around a n a ntenna of t...