By 800 social and cultural security had been achieved, at least on a simple plane ; ;

By contrast, for higher frequency radiations at ultraviolet frequencies and above ( i. e., X-rays and gamma rays ) the damage to chemical materials and living cells by EMR is far larger than that done by simple heating, due to the ability of single photons in such high frequency EMR to damage individual molecules chemically.

By the late nineteenth century, however, a handful of experimental anomalies remained that could not be explained by the simple wave theory.

* By the convolution theorem, Fourier transforms turn the complicated convolution operation into simple multiplication, which means that they provide an efficient way to compute convolution-based operations such as polynomial multiplication and multiplying large numbers.

" His predisposition for benevolence is clear in the statement " We whites ... must necessarily appear to them in the nature of supernatural beings .... By the simple exercise of our will we can exert a power for good practically unbounded ".

By showing how simple unintelligent forces can ratchet up designs of extraordinary complexity without invoking outside design, Darwin showed that an intelligent designer was not the necessary conclusion to draw from complexity in nature.

By the late 1800s, Franz Reuleaux identified hundreds of machine elements ( calling them " simple machines ").

Every simple R-module is isomorphic to a quotient R / m where m is a maximal right ideal of R. By the above paragraph, any quotient R / m is a simple module.

By removing the need to load the particle with the properties of space and time, a fully deterministic, local and causal description of quantum phenomena is possible by use of a simple dynamical operator on a Universal Invariant Set.

By 1900, restaurants serving Chinese cuisine from Canton and Shanghai offered a simple ramen dish of noodles ( cut rather than hand pulled ), a few toppings, and a broth flavored with salt and pork bones.

By using a simple model for stellar atmospheres, assuming local thermal equilibrium in a plane parallel geometry and the Eddington approximation, the effective temperature of the sun can be shown to occur at an optical depth of 2 / 3.

By contrast, the simple parity code cannot correct errors, and can detect only an odd number of errors.

" By 1814 Young had completely translated the " enchorial " ( demotic, in modern terms ) text of the Rosetta Stone ( he had a list with 86 demotic words ), and then studied the hieroglyphic alphabet but initially failed to recognize that the demotic and hieroglyphic texts were paraphrases and not simple translations.

:" By May 1928, basic principles of guerilla warfare, simple in nature and suited to the conditions of the time, had already been evolved ....

By the simple but costly expedient of never turning the machine off, the engineers reduced ENIAC's tube failures to the more acceptable rate of one tube every two days.

By the 10th century such Anglo-Norse crosses were the bulk of the production in England, as the high cross seems to have been abandoned further south, although the simple and practical Dartmoor crosses, no doubt an essential aid to navigating Dartmoor, appear to have continued to be made for centuries after.

By having no utility poles inside the village for power, cable, or telephone, it is relatively simple to return power to the entire village following a storm.

By 1833, simple buildings had been erected in Carthage, and the town was platted in 1838.

By now, Puyi has become a simple gardener who lives a peasant proletarian existence.

By placing high tariffs on imports and other protectionist, inward-looking trade policies the citizens of the respected country by simple supply and demand rationale will substitute the lesser expensive good for the more expensive.

By their very nature, indices are simple, and combine many details into a generalized, overall description of the atmosphere or ocean which can be used to characterize the factors which impact the global climate system.

By placing his mechanism above the loom, Vaucanson eliminated the complicated system of weights and cords ( tail cords, simple, pulley box, etc.

By comparing the phase of the received signal with the one being broadcast omnidirectionally, the angle can be determined using simple electronics.

By the 3rd century BCE, these writers had developed a simple, concise and economical prose style that served as a model of literary form for over 2, 000 years.

By an accident, a painter misinterpreted the name and painted " Ski-Doo " on the first prototype.

By the time of his 1966 auto accident, Berry had completed two years of medical school.

By then he could not walk because of both the infection in his injured leg and an infirmity in his other from a traffic accident a decade earlier.

By the early 1990s traffic on the elevated artery was 190, 000 vehicles per day, with an accident rate four times the national average for urban interstates.

By historical accident, all Wren's large-scale secular commissions dated from after the 1680s.

By invisibly observing the crew of the Romulan vessel, Ro and La Forge soon discover that the accident, as well as the damage to the Romulan ship, is the result of a Romulan weapons test, and that the Romulans are now performing a subtle act of sabotage that will destroy the Enterprise-D the moment that ship accelerates to warp drive.

By using photographs of the accident scene including the vehicle, " lost " evidence can be recovered and accurately determined.

By contrast, a substantial minority of her cases occurred under conditions of maximum arousal, such as a rock-climbing fall, a traffic accident, or childbirth.

By this time, the band was explicit in their intent to find a major record label ; band members have said that it was no accident that the first track of Live Stages opens with the sounds of a large cheering audience.

: By wondrous accident perchance one may

There, Carter developed a number of unproduced television pilots — Cameo By Night, featuring Sela Ward ; Brand New Life, which has been described as being similar to The Brady Bunch ; Copter Cop, a science fiction series that was hampered by Tartikoff's injuries after a car accident ; and Cool Culture, influenced by Carter's passion for surfing and experience with Surfing Magazine.

By measuring the length of such marks and using dynamic analysis of the car and road conditions at the time of the accident, it may be found that a driver underestimated his or her speed.

By November 1697 he was reconciled to the court, but he suffered the loss of his son and heir, Charles, through an accident to his coach in Wales in July 1698.

By this time, Cyber-29 had already died in a playtime accident when he fell from a tree ( a cliff in the animated series ), but Von Reichter managed to transfer the dead child's brain into the body of a panther to be reborn as Data-7.

By accident, Marke discovers the grotto and sees them lying side by side.

By an accident impossible to reconstruct, he ( the small h horrified David ) survived his own crucifixion and presumably died a few weeks later.

By an accident, a painter misinterpreted the name and painted " Ski-Doo " on the first prototype.

By some ' accident ' the catch fell, the attendant had gone away and Jessop was unable to summon assistance.

By accident, she meets Takeru Kobayashi, a male competitor, in a convenience store.

By 1952, Evans had unofficially retired, then was injured in an automobile accident in Monroe, Michigan.

By 1986, only five of the original 512 locomotives had been withdrawn from service, all because of serious accident damage.

Goll once described his situation as " By fate a Jew, by an accident born in France, on paper a German.

By lucky accident he may have been the first sailor to plane his boat.

By August 2007, he had completed his goal of climbing all 54 of Colorado's-plus peaks, the final three after his accident.