The formation of a star begins with gravitational instability within a molecular cloud, caused by regions of higher density - often triggered by shock-waves from nearby supernovae (massive stellar explosions), the collision of different molecular clouds, or the collision of galaxies (as in a starburst galaxy).
According to (13), the critical value of load ( {F}_f^ ), beginning with which, the bond instability due to thermal fluctuations results in its break, is defined as: {F}_f^ge frac{F_{un}}{sqrt{1+alpha}} (14).
Much effort has been expended over the past 140 years, beginning with the seminal work of Lord Rayleigh, to predict the evolution of the instabilities and of the instability-induced mixing layers.
Beginning with the work of Lord Rayleigh in 1916, thermal and solute instabilities in homogeneous media have been studied in detail for almost a century.
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It began with the deliberate instability introduced into work life during the 70s and 80s to engender the levels of risk that players in a new kind of financial world full of slippery little suckers like options and derivatives found profitable (there's only so long you can strip a country's assets, amIrite?).
I begin with the fundamental instability of film as commodity, as framed in a Bombay High Court judgment from 1940 which declared that any attempt to predict a film's commercial viability was an act of speculation unsupportable by the empirical-rational logics of the courtroom.
The explanation of this instability begins with the existence of tiny perturbations in the stream.
The comparable period of instability that began with the 1973 oil crisis and 1974 hung parliament lasted almost a decade, and was arguably only ended by the freak event of the 1982 Falklands war, which unexpectedly secured Thatcher in power.
The vote took place after nearly two years of political instability, which began with anti-poverty protests toppling GERB's previous government in February 2013.The cabinet that followed early last year, an uneasy coalition between the Socialist party and DPS, managed to stay in power barely a year, accompanied by even larger protests against its policies.
A typical path of a single jet of polymer solution begins with a straight segment, and then a bending instability generates coils inside a cone shaped envelope.
