From this it follows that correctness of drawing depends solely upon the principal rays ; and is independent of the sharpness or curvature of the image field.

From Okhla the canal follows the high land between the Khari-Nadi and the Yamuna and finally joins the Banganga river about below Agra.

From the commutativity of kets with ( complex ) scalars now follows that

From this it follows that the set of complements of the problems in NP is a subset of the set of complements of the problems in co-NP, i. e., co-NP is a subset of NP.

From Woodside to near Sandilands ( routes 1, 2 and 4 ) and from near Sandilands almost to Lloyd Park ( route 3 ) Tramlink follows the former Woodside and South Croydon Railway, including the Park Hill ( or Sandilands ) tunnels.

From the above rule of calculation of heat with respect to volume, there follows one with respect to pressure.

From the criterion it also follows that Carmichael numbers are cyclic .< ref > Proof sketch: If is square-free but not cyclic, for two prime factors and of.

From the east-coast of Sweden to Lake Vänern the locks are as follows:

From these two axioms, it follows that for every g in G, the function which maps x in X to g · x is a bijective map from X to X ( its inverse being the function which maps x to g < sup >− 1 </ sup >· x ).

And He is called Angel and Apostle ; for He declares whatever we ought to know, and is sent forth to declare whatever is revealed ; as our Lord Himself says, “ He that heareth Me, heareth Him that sent Me .” From the writings of Moses also this will be manifest ; for thus it is written in them, “ And the Angel of God spoke to Moses, in a flame of fire out of the bush, and said, I am that I am, the God of Abraham, the God of Isaac, the God of Jacob, the God of thy fathers ; go down into Egypt, and bring forth My people .” And if you wish to learn what follows, you can do so from the same writings ; for it is impossible to relate the whole here.

From the point of view of a passenger, latency can be described as follows.

From May to July 2006, several groups presented papers that filled in the details of Perelman's proof of the Poincaré conjecture, as follows:

From this it follows that there are three divisions of oratory-( 1 ) political, ( 2 ) forensic, and ( 3 ) the ceremonial oratory of display ".

From this, the disease activity of the patient can be classified as follows:

From the above stated equations it can be expressed as follows:

From Mars there follows a space of 4 + 24 = 28 such parts, but so far no planet was sighted there.

From outside to inside, the path to the uterus is as follows:

:: From the fact that if this match is scratched it will light, it follows that if it does not light it was not scratched.

:: From the fact that if this match is scratched it will light, it follows that if it were not to light it would not have been scratched.

From the gene-centred view follows that the more two individuals are genetically related, the more sense ( at the level of the genes ) it makes for them to behave selflessly with each other.

From here the canal follows the course of the River Bulbourne through Bourne End with the well-known swingbridge at Winkwell, and the " Port of Berkhamsted ".

From this general law, it follows that there is an inverse relationship between the wavelength of the peak of the emission of a black body and its temperature when expressed as a function of wavelength, and this less powerful consequence is often also called Wien's displacement law in many textbooks.

From these calculations follows an acceptable flood risk from the sea at 1 in 4, 000 – 10, 000 years, while it is 1 in 100 – 2, 500 years for a river flood.

From there U. S. Highway 30 which follows the Platte River is a better approximate path for those traveling the north side of the Platte.

From the back of the barn it was a simple matter to reach Black's house without using the street.

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

From this simple idea Daihachi Oguchi put together various Taiko of all different shapes, sizes, and pitches to be included in his ensemble.

From simple to advanced, these are: relying on the game's AI to control most actions, digital puppetry, recamming, and precise scripting of actions.

From his own experiences as a teacher, Webster thought the Speller should be simple and gave an orderly presentation of words and the rules of spelling and pronunciation.

That reward is property, for of useful and active industry, property is the natural result .” From this simple reasoning he is able to present the conclusion that exclusive, as opposed to communal property, is to be preferred.

From Einstein's simple postulation was born a flurry of debating, theorizing, and testing.

From the section entitled, “ General Devices for Lowering Morale and Creating Confusion ” comes the following quintessential simple sabotage advice: Act stupid.

" From the perspective of God, before constriction in Creation, these three are revealed in their source as a simple ( non-compound ) absolute Unity, as is all potential Creation from God's perspective.

From Han literary sources, it is known that wooden-trestle beam bridges, arch bridges, simple suspension bridges, and floating pontoon bridges existed in Han China.

From the 1890s to at least 1910, A. L. Burt of New York and other publishing companies published series of books aimed at young readers, using simple language to retell longer classics.

From the pinna the sound pressure waves move into the ear canal, a simple tube running through the middle ear.

From this he produced a simple formula for approximating the revenue produced by annual payments based on a person ’ s age.

From these experimental results, it was thought that the creation of a bomb was as simple as forming a critical mass of fissile material.

From this period, the earliest known artistic exercise by Turner is found, a series of simple colourings of engraved plates from Henry Boswell's Picturesque View of the Antiquities of England and Wales.

From the period and the measured distance between the pivots, the acceleration of gravity can be calculated with great precision from the periodicity equation for a simple pendulum, ( 1 ) below.

The journalist Tony Russell, in his book The Blues – From Robert Johnson to Robert Cray, stated " The vivacious rhumba-rhythmed piano blues and choked singing typical of Fess were too weird to sell millions of records ; he had to be content with siring musical offspring who were simple enough to manage that, like Fats Domino or Huey " Piano " Smith.

From then it quickly changed from a simple format using tags to a very complex object oriented persistence layer called Bento.

From the perspective of the mathematical modeller, it is an emergent behaviour arising from simple rules that are followed by individuals and does not involve any central coordination.

From the time when in about 1840 he fitted up some simple physical apparatus in his rooms in Pembroke College, mathematics and experiment ever went hand in hand, aiding and checking each other.

From a legal point of view, the Jubilee law effectively banned sale of land as fee simple, and instead land could only be leased for no more than 50 years.

A typical, yet simple, description under this system might read " From the point on the north bank of Muddy Creek one mile above the junction of Muddy and Indian Creeks, north for 400 yards, then northwest to the large standing rock, west to the large oak tree, south to Muddy Creek, then down the center of the creek to the starting point.

simple: From the Earth to the Moon

From its simple and primitive early examples of the 5th and 6th century A. D., the Arabic alphabet developed rapidly after the rise of Islam in the 7th century into a beautiful form of art.