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 viewpoint of the ancient Greeks, a person's public life was not separated from their private life, and Greeks did not distinguish between the two worlds according to the modern western conception.

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 point of view the `` militant mobs '' of the past, stirred into action by one ideology or another, were all composed of `` intellectuals '' -- and this is not the level on which the essence of mankind can be discovered.

From here you can easily include a side trip to the old whaling port of Nantucket, Massachusetts, which looks just as it must have two centuries ago.

From this point, I paint in as direct a manner as possible, by flowing on the washes with as pure a color mixture as I can manage.

From the resulting data the doctor can determine lung defects with hitherto unknown accuracy and detail.

From this doctors can read heart rate, change in diameter, pressure, and effective heart power.

From the brightness of the F component of the solar corona and the brightness of the zodiacal light, an estimate of the particle sizes, concentrations, and spatial distribution can be derived for regions of space near the ecliptic plane.

From these dosage isopleths it can be seen that an area of over 34,000 square miles was covered.

From even a cursory inspection of its many aspects, however, the historian can deduce several fundamental conclusions about the progress of the Aegean world down to 800 B.C.

From the dated poems we can venture certain conclusions about Hardy's career in poetry, always remembering that conclusions based on a fraction of the whole must remain tentative.

From Fig. 6 the relationship between these parameters can readily be derived and the cutting force is Af where **yl is the shear strength of the coating and is a parameter of the coatings material, W is the width of the removed coating and T is its thickness.

From all this we can now see that two streams of development run through the history of twentieth-century American folklore.

From this follows a simple algorithm, which can be stated in a high-level description English prose, as:

From here, it can be argued that, to the extent amateurs threaten the professional industry by providing free services, the professional industry has an interest in making its counterpart amateur activity shameful.

From about 1955 he started to work on sheaf theory and homological algebra, producing the influential " Tôhoku paper " ( Sur quelques points d ' algèbre homologique, published in 1957 ) where he introduced Abelian categories and applied their theory to show that sheaf cohomology can be defined as certain derived functors in this context.

From this, knowing the viscosity of the fluid, the sizes of the particles can be calculated.

From the above equation, it can be re-arranged to show that

From basic functional analysis we know that any ket can be written as

From the formula, we can see the standard deviation is proportional to the square root of the number of rounds played, while the expected loss is proportional to the number of rounds played.

From April to September the schedule is more dense and can include several round trips within a day.

From a Memorandum of 20 October 1963 by Major Raúl Castro, it can be seen that great importance was attached to the decent behaviour of the troops, with strict instructions being given on their proper conduct during foreign interventions.

From these axioms, it can be proved that there is exactly one identity morphism for every object.

From these four, a multitude of equations, relating the thermodynamic properties of the thermodynamic system can be derived using relatively simple mathematics.

From the Golgi, membrane proteins can move to the plasma membrane, to other sub-cellular compartments, or they can be secreted from the cell.

From the source assignment of the artifact further investigations can be made into the site of manufacture.