Love affairs

To arouse your interest in the classification of linear systems, we now discuss a simple model for the dynamics of love affairs (Strogatz 1988). The following story illustrates the idea. 

Romeo is in love with Juliet, but in our version of this story, Juliet is a fickle lover. The more Romeo loves her, the more Juliet wants to run away and hide. But when Romeo gets discouraged and backs off, Juliet begins to find him strangely attractive. Romeo, on the other hand, tends to echo her he warms up when she loves him, and grows cold when she hates him. 

R(t) = Romeo s love/hate for Juliet at time t J(t) = Juliet s love/hate for Romeo at time t, 

Positive values of R, J signify love, negative values signify hate. Then a model for their star-crossed romance is 

Now consider the fcffecast for lovers governed by the general linear system 

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Titanium has a number of unique properties. In this chapter the focus will be on the corrosion resistance of the metal, which in turn is related to one of titanium s particular properties the never-ending love affair between titanium and oxygen. 

Sasha had recently published his critically acclaimed PIHKAL, a Chemical Love Story ( Phenethylamines I Have Known and Loved. ). A lengthy book, the first part deals with his personal history and love affair with Ann. The second part is a technical compendium of the various psychedelic compounds he had developed. It includes structures, methods of synthesis and subjective effects as recorded by a group of special friends, who visited periodically to evaluate personally the latest of his psychoactive molecules. 

Images flashed before my mind s eye Nicholas Flamel and his wife, Pemelle, their legendary love affair and their unknown end. Mutus Liber ("the silent book") depicts a... 

I know only that she was young and married to an older man. Zorzi told exaggerated fairy tales of his debauchery with courtesans just to annoy his father, but he was very discreet about the others. Other one, I mean. That was a tme love affair ... 

However, not all pairs of stars will meet such a cataclysmic end. The proof stems from the existence of novas. These also arise from the tempestuous love affairs between a white dwarf and a healthy star. The difference is that their love bums in a more reasonable manner, ejecting only a small portion of then-envelope at a time (roughly 10 " Mq). These ejecta are nevertheless loaded like galleons with radioactive isotopes such as beryllium-7 and sodium-22. One day it is hoped that their signature will be detected by the great INTEGRAL observatory. 

On this art historically unique work, and also the results of a unique scientific analysis performed by the FBI stalwarts on its spermatic contents, see Bonk, 282—83. For the passionate love affair with Martins, ca. 1943—1951, see the materials unearthed in Tomkins, Duchamp, 353-67 Paysage fautif is illustrated on... 

Brakebusch, C., and Fassler, R. (2003). The integrin-actin connection, an eternal love affair. Embo. J. 22, 2324-2333. 

W. S. Johnson, A Fifty-Year Love Affair with Organic Chemistry, American Chemical Society, Washington DC, 1996 (in the series Profiles, Pathways and Dreams Autobiographies of Eminent Chemists ). 

To achieve this whilst maintaining chromatographic integrity through the LC/MS interface was likened by Arpino 6 to an improbable love affair between a goldfish, symbolising the liquid LC mobile phase, and a parrot, symbolising the gas phase in MS (Fig. 5.1). 

Historian Daniel Boorstin made the distinction between the hero and the celebrity clearly. The hero was distinguished by his achievement the celebrity by his image or trademark, he wrote. The hero created himself the celebrity is created by the media. The hero was a big man the celebrity is a big name. Too often, the media manufactures celebrities and packages them as heroes. We learn little of their contributions to society and more than we need to about their fashions or love affairs. That is not to say some celebrities are not heroes. In fact, more than a few athletes, actors, and artists have broken barriers and dedicated themselves to important humanitarian causes. Unfortunately, those actions command less attention than the latest scandal. 

Nerval also wrote several stories in which opium played a prominent part. Like Baudelaire, he was no stranger to drag abuse. His last years were spent in poverty and misery. Unable to cope ary longer after a number of tragic love affairs exacerbated his already thread-bare sanity, he hanged himself... 

In each of the following problems, predict the course of the love affair, depending on the signs and relative sizes of a and b. 

Strogatz, S. H. (1988) Love affairs and differential equations. Math. Magazine 61, 35. 

To get more concrete, melodramas on television such as ER and Chicago Hope focus on the lives of doctors and patients. Hospital bureaucracy, societal problems, love affairs, and the struggle for life are the story elements of these successful series. The characters are well defined, differentiated, and above all, very human. Hope, fear, passion, commitment, power, and powerlessness define the characters and their goals. But key to our involvement is that we in the audience know these people they are you and me. 

As they look at this event from a future location tell them this was fee start of fee time in between of happiness, total satisfaction, great sex, and fee love affair they had always dreamed of. 

Love affairs absorb you, but you re most comfortable in a committed, traditional relationship. Shyer than you appear to be, you long for someone with whom you share a soul connection. When you feel cherished and recognized, you re utterly devoted and supportive. When you feel insecure, it s another matter. Fearful of being alone and yet unwilling to engage in conflict, you hold on too tightly for too long. When a relationship falls apart, you re devastated,... 

Uranus in Leo (1956 to 1962) Assertive and freewheeling, ardent and talented, you enthusiastically throw yourself into creative endeavors. Offbeat love affairs (the more reckless the better) entice and excite you, and you approach times of change with gusto. But you can also be egotistical, imperious, and — in a word — obnoxious. 

North Node in the eleventh house/South Node in the fifth Your tendency to focus on love affairs, personal pleasures, and children limits your development. Take a larger view. Align yourself with others in pursuit of a cause Become political and develop a social conscience. 

Note that nowhere in the spatiotemporal postulate is the term transition state used. This term is not used because the transition state, for reasons just mentioned, is considered peripheral to time and distance. Perhaps the love affair that physical organic chemists are having with transition structure is overly passionate. Diffusion theory, not quantum mechanics, may be the key to future progress. 

Johnson, W.S. 1998, A fifty-year love affair with organic chemistry, American Chemical Society, Washington, DC. 

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