Returning to one dimension for simplicity, when a is the infinitesimal quantity ε, the Gaussian initial condition, rescaled so that its integral is one:

Mahler began his Fourth in a mode of apparently childish simplicity, at which initial audiences scoffed.

Despite the simplicity of the rigging, the mast is highly tunable, enabling the Folkboat to sail well in light and heavy air well beyond initial expectations.

The general solution of this equation, taking and for simplicity, and the initial condition is,

One of the main advantages of this theory is stressed by the authors: " It theory also offers a conceptual simplicity because it proposes as causal factors for SIV adaptation to humans and initial spread the very same factors that most promote the continued spread of HIV nowadays: promiscuous sex, particularly involving sex workers, GUD, and possibly lack of circumcision.

The initial production order for this application, awarded to Burroughs in 1957, was for 1500 units.

His works include The Radio Man and its numerous sequels, chiefly interplanetary and inner-world adventure yarns in the tradition of Edgar Rice Burroughs, with whom he was friends ; Hoar also wrote a number of archetypal time-travel-paradox tales, collected in book form as The Omnibus of Time, and " The House of Ecstasy ," told in the second-person and frequently reprinted since its initial appearance in Weird Tales ( April 1938 issue ).

Since Pigeard asserts that these casualties occurred during the pursuit, it is possible that these figures do not take into account the casualties incurred during the initial actions of this battle ( one battalion of Zieten's brigade captured, plus the 2, 000 prisoners taken during Grouchy's and Nansouty's joint action against Zieten ).

And, finally, why do we seem to be unhappier now than when we began our initial pursuit for rich abundance ?” In this context, simple living is the opposite of our modern quest for affluence and, as a result, it becomes less preoccupied with quantity and more concerned about the preservation of cities, traditions and nature.

Though he manages to elude his initial pursuers, the MFP's top pursuit man, Max Rockatansky, then engages the less-skilled Nightrider in a high-speed chase, resulting in Nightrider dying in a fiery crash.

Despite opposition from his subordinates, he ordered the pursuit be continued after the initial victory.

* Evolutionary refinement over pursuit of initial perfection

The initial invasion by the North Korean People's Army had been broken by General MacArthur's amphibious landing at Inchon, and so, in what was a complicated war of manoeuvre, 3 RAR participated in the pursuit of the NKPA back across the 38th parallel.

Smith had now reached the site of the initial contact and the sound of firing continued to the front as Sharp manoeuvred his sections in pursuit of the withdrawing Viet Cong.

The Justice Department's subsequent active pursuit of the death penalty for Ted and Attorney General Janet Reno's initial refusal to accept a plea bargain in exchange for a life sentence was seen as a betrayal by David and other Kaczynski family members.

Recharged by Cyclonus, a furious Scourge co-led a team of Decepticons in pursuit of the Autobots, but after an initial victory in battle, they were soon overcome and defeated by the newly-formed Autobot Headmasters, a merging of the Autobots and a group of Nebulon rebels.

The initial police pursuit is foiled when Duck leads the truckers off the main highway and down a desert trail, causing several of the police cars to crash.

Although Elaith can be quite ruthless, even cruel, in the pursuit of his goals, he is also a tragic character who seemingly never recovered from his initial fall.

However, in spite of its initial short term success and critical reaction, as represented by a review in La Gazzetta privilegiata which stated that " A new masterwork has been added to Italian music ..... Belisario not only pleased and delighted, but also conquered, enflamed and ravished the full auditorium ", in the long run, had " Donizetti poured music of the calibre of his Lucia di Lammermoor into the score of Belisario the shortcomings of its wayward plot and dramatic structure would matter less ".

The struggles of Aylward and her family to effect her initial trip to China were skipped over in favor of a plot device of an employer " condescending to write to ' his old friend ' Jeannie Lawson ," and Aylward's dangerous, complicated travels across Russia and China were reduced to " a few rude soldiers ," after which " Hollywood's train delivered her neatly to Tsientsin.

The plot of City Lights gradually grew from this initial concept.

* The plot idea of astronauts thinking they had crashed on an unknown planet, only to discover that in fact they had been on Earth all along, would be adapted by Rod Serling in his work on the initial screenplay of Planet of The Apes.

The plea bargain was apparently reinstated in late September 2005, and the 62-year-old Krugel was sentenced to 20 years in federal detention, after an initial plea agreement based on his revealing the names of those involved in the Alex Odeh bomb plot was withdrawn.

After the stimulus is applied, the membrane potential rapidly rises to a peak potential of + 40 mV at time = 2 ms. Just as quickly, the potential then drops and overshoots to-90 mV at time = 3 ms, and finally the resting potential of-70 mV is reestablished at time = 5 ms. Bottom: a plot of an experimentally determined action potential that is very similar in appearance to the idealized plot, except that the peak is much sharper and the initial drop is to-50 mV increasing to-30 mV before dropping back to the resting potential of-70 mV.

The initial phase of ignominy and its redemption by a courageous plot of slaying the sultan are narrative ingredients which would become essential to the Serbian legend as it evolved in later times.

It is Tony's initial deception of Marlow, for a joke, which sets up the plot.

Piking up some specific values for the initial condition, we can add the plot of several solutions

The plot has some initial similarities to Captains Courageous by Rudyard Kipling in that they each have an idle, rich young man rescued from the sea and shanghaied into becoming a working sailor ; however, the two stories differ widely in plot and moral tone.

The struggles of Aylward and her family to effect her initial trip to China were skipped over in favor of a plot device of an employer " condescending to write to ' his old friend ' Jeannie Lawson ," and Aylward's dangerous, complicated travels across Russia and China were reduced to " a few rude soldiers ," after which " Hollywood's train delivered her neatly to Tsientsin.

If the initial conditions are 80 baboons and 40 cheetahs, one can plot the progression of the two species over time.

An alternative algorithm is to generate each possible sequence of functions up to a given maximum length, and then to plot the results of applying each of these sequences of functions to an initial point or shape.

In 1994, with the initial plot outline now lost, Williams claims to have had an unusually vivid dream which compelled him to start writing — resulting in the completion of the first chapter.

The initial plot for the story is Darryl Hugley, who owns his own vending machine business, moving out of a South Los Angeles ghetto to West Hills, a predominately white neighborhood within the San Fernando Valley.

With Connor ’ s initial role in plot decided, they came up with the concept of a ' teenage ' version for further appearances.

Iori is a central character to the series ' plot, and the initial enemy and eventual rival of Kyo Kusanagi.

Reverse chronology works by revealing the plot in reverse order, i. e., from final event to initial event.

Under the initial plan, a group of officers were to shoot Hitler collectively at a signal in the officers ' mess during lunch but Kluge, Commander of Army Group Center who was informed about the plot, urged Tresckow not to carry it out saying, " For heaven's sake, don't do anything today!

After the initial land swap, urban JNF land sold in future to non-Jews would include an automatic swap mechanism: the fund would transfer the land to the ILA, and in exchange would receive the purchase price plus a similar-sized plot in the Negev.

After Norby stops his initial attempt, he later resurfaces in another evil plot as Threezey the Clown.

Although the initial impetus for the show was based on alien abduction lore, the crew believed that the series would not be able to maintain its momentum for long if it did not branch out into different plot ideas.

The process stipulates that the choreographer sense the quality of the initial movement he has discovered and that he feel the rightness of the quality that is to follow it.

As I see it, if war starts and we survive the initial attack enough to be able to fight back, the nuclear weapons we now have -- at least the bombs -- can inflict all the demage that is necessary.

In the 10-year period, it is proposed that insect and disease control on the National Forest System be stepped up to a level of prevention, detection, and control of insect and disease infestations that will substantially reduce the occurrence of large infestations toward the end of the initial period.

The objective is to achieve sufficient effectiveness of control on all of the area now under treatment plus the additional acres so that after the initial period only maintenance control will be needed.

This work is progressing on schedule and we expect to make initial shipments in the fourth quarter of this year.

It is interesting to note that the present level of military electronics procurement is greater than the industry's total sales to all markets in 1950-1953, which were good years for our industry with television enjoying its initial period of rapid consumer acceptance.

Our major problem is what an enemy might accomplish in an initial attack on a target.

It has further been shown that: ( 1 ) an experimental neurosis in its initial stages is associated with a reversible shift in the central autonomic balance ; ;

In some programs, treatment is concentrated over a short period of time, while in others, after the initial contact is established, flexible spacing of interviews has been experimentally used with apparent success.

Moreover, it is too readily forgotten that in the Republic what gave the initial impetus to Plato's excursus into the construction of an imaginary commonwealth with its ruling-class communism of goods, wives, and children, was his quest for a canon for the proper ordering of the individual human psyche ; ;

The initial availability of index words and electronic switches is determined by a table which is included in the Compiler Systems Tape.

Radiation, therefore, is at an initial cost disadvantage even though only 1 to 10 per cent as much radiation energy as heat energy is required for radiopasteurization or radiosterilization.

One of Mrs. Kennedy's initial concerns as First Lady was the sad state of the furnishings in a building which is supposed to be a national shrine.

The one unifying note, if any, is sounded in the initial article entitled: `` How To Get Through The Day ''.

The study of altruism was the initial impetus behind George R. Price's development of the Price equation, which is a mathematical equation used to study genetic evolution.

The first is called the initial arraignment and must take place within 48 hours of an individual's arrest, 72 hours if the individual was arrested on the weekend and not able to go before a judge until Monday.

Devanagari is typically an abugida augmented with dedicated letters for initial vowels, though some traditions use अ as a zero consonant as the graphic base for such vowels.

Nor is, in a dictionary of English, the lexical section with initial th-reserved a place after the letter t, but is inserted between te-and ti -.

This converted to GBP £ 1, 687, 837 at the time In 2012, the capital is worth around SEK 3. 1 billion ( USD 472 million, EUR 337 million ), which is almost twice the amount of the initial capital, taking inflation into account.