From a mechanical viewpoint, up to 99 % of the energy delivered by the rider into the pedals is transmitted to the wheels, although the use of gearing mechanisms may reduce this by 10 – 15 %.

From an economics viewpoint, there is a clear trade-off between cost per copy and cost of the printer.

From the modern viewpoint, there is essentially only one Euclidean space of each dimension.

From a mathematical viewpoint, continuous-time IIR LTI filters may be described in terms of linear differential equations, and their impulse responses considered as Green's functions of the equation.

From the viewpoint of European history the Guinea Coast is associated mainly with slavery.

From a metanarrative viewpoint, Tolkien's Arda is itself a subcreation designed to honour the true stories of the real world.

From that viewpoint, she is seen as one who betrayed the indigenous people by siding with the Spaniards.

From the viewpoint of any single unaccelerated observer, mass can neither be created or destroyed, and special relativity does not change this understanding.

From this viewpoint, the A-law and μ-law algorithms ( G. 711 ) used in traditional PCM digital telephony can be seen as a very early precursor of speech encoding, requiring only 8 bits per sample but giving effectively 12 bits of resolution.

From a purely mathematical viewpoint, the Dirac delta is not strictly a function, because any extended-real function that is equal to zero everywhere but a single point must have total integral zero.

From the program developer's viewpoint, this constitutes the routine caller's portion of the contract.

From a viewpoint in the LMC, the Milky Way would be a spectacular sight.

From a philosophical viewpoint, this theory of matter-waves has contributed greatly to the ruin of the atomism of the past.

From Hitler's viewpoint, it was better to wait until the Z Plan was complete before going to war with the United States.

From this viewpoint, the null space of A is the same as the solution set to the homogeneous system.

From the viewpoint of the investor, however, the Dutch Auction would be more effective at price discovery, and potentially result in a lower offering price.

From this viewpoint there are no distances, but collinearity and ratios of distances on any line are preserved.

From the viewpoint of the ancient Chinese, the Purple Forbidden Enclosure lies in the middle of the sky and is circled by all the other stars.

From this viewpoint, Richard's paradox results from treating a construction in the metatheory ( the enumeration of all statements in the original system that define real numbers ) as if that construction could be conducted in the original system.

From a predicative viewpoint it is not valid to quantify over all real numbers in the process of generating a new real number, because this is believed to lead to a vicious-circle problem in the definitions.

From a spot near the western cliffs of the headland he saw "... the grandest and most pleasing prospects which my eyes ever surveyed, in front of a boundless Ocean ..." That viewpoint, later dubbed " Clark's Point of View ," can be accessed by a hiking trail from Indian Beach in Ecola State Park.

From a cultural viewpoint such a resident could be completely " local " and indistinguishable from citizens.

From the north viewpoint on the summit of Mount Walker, at 2804 feet, are vista views of Mount Jupiter, Buckhorn Mountain, Mount Constance, Mount Baker and the town of Quilcene.

From an economic viewpoint, Radhanite Trade dominance was being usurped by coordinated Christian and Islamic forced-conversions, and torture, compelling Jewish scholars to understand nascent economic threats.

From this action sprang the idea of somehow uniting Greek and Shakespearean drama into a new total form, capable of restoring to life the ancient moral and poetic responses.

From the Black Sea, trade could continue to Asia along the Silk Road, another ancient trade route.

From the Medieval Arabic king lists of both African states, allegedly copied from earlier lists in ancient Near Eastern languages it appears that the state founders claimed to be deportees of the Assyrian empire who had fled from Syria and Samaria after the defeat of the Egyptian-Assyrian army at Carchemish in 605 BCE.

Archaeological confirmation of Bethlehem as an Israelite city was uncovered in 2012 at the archaeological dig at the City of David in the form of a bulla ( seal impression in dried clay ) in ancient Hebrew script that reads " From the town of Bethlehem to the King ," indicating that it was used to seal the string closing a shipment of grain, wine, or other goods sent as a tax payment in the 8th or 7th century BCE.

From the ancient times until the 1800s, one goal was to reduce the expense of a classical education.

From this doctrine arose the Epicurean epitaph: Non fui, fui, non sum, non curo ( I was not ; I was ; I am not ; I do not care ) – which is inscribed on the gravestones of his followers and seen on many ancient gravestones of the Roman Empire.

From ancient times through the Middle Ages, bursts of mathematical creativity were often followed by centuries of stagnation.

From the scientific discovery which has been a silent evidence, it has pointed out that the South East Asian civilizations are a of much older civilization compared to the widely researched and well documented east Asians ' ancient civilisations Dong Son culture spread to Indonesia bringing with it techniques of wet-field rice cultivation, ritual buffalo sacrifice, bronze casting, megalithic practises, and ikat weaving methods.

From Mount Emei in Sichuan, a Daoist hermit, a nun known as a " numinous old woman " and " holy physician "— who Temple says was associated with the ' school of the ancient immortals ' and thus most likely specialized in ' internal alchemy '— introduced the technique of inoculation to the capital.

From Robertson, Madison learned mathematics, geography, and modern and ancient languages.

* Independent Religion – From the Encyclopædia Britannica Article on Jainism: "... Along with Hinduism and Buddhism, it is one of the three most ancient Indian religious traditions still in existence.

From various ancient writings, historians have gathered that a group of young women were left in Sappho's charge for their instruction or cultural edification.

From ancient texts to medieval maps, anything written down for study would have been done with manuscripts.

The 1907 Catholic Encyclopedia wrote, " From ancient times until the nineteenth century the port of Monaco was among the most important of the French Mediterranean coast, but now it has lost all commercial significance.

From the middle and late Eastern Han to the early Wei and Jin dynasties, the net growth of ancient Chinese science and technology experienced a peak ( second only to that of the Northern Song dynasty )... Han studies of the Confucian classics, which for a long time had hindered the socialization of science, were declining.

From the Arab conquest 637 CE until modern time the city of Mosul on the opposite bank of the river Tigris became the successor of ancient Nineveh.

From the earliest finds, opium has appeared to have ritual significance, and anthropologists have speculated that ancient priests may have used the drug as a proof of healing power.

From an ancient senatorial family, Gregory worked with the stern judgement and discipline typical of ancient Roman rule.

From ancient times, people around the world have recorded proverbs in visual form.

From ancient Greece to the late 19th century, it was a central part of Western education, filling the need to train public speakers and writers to move audiences to action with arguments.

From that time, scholars began to study the ancient Roman legal texts, and to teach others what they learned from their studies.

From their existing records, it is known that the ancient Egyptians recorded the names of only a few identifiable constellations and a list of thirty-six decans that were used as a star clock.

From the period of the Middle Kingdom onwards, Saluki-like animals appear on the ancient Egyptian tombs of 2134 BC.