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

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 such uncertainties, that characterize ongoing work, stems the unavailability of a definition of algorithm that suits both concrete ( in some sense ) and abstract usage of the term.

From the above, it is possible to reformulate the definition to either of the following:

From 1975 to 1979, a Canadian progressive power trio, Rush, released three albums containing sidelong epics, regarded by some as concept albums ( though not actually concept albums by strict definition of the term ; that is, none of the other songs on the album have anything to do with each other or the 20-minute sidelong epic, so there is no pervasive concept or story ).

The result, div F, is a function of p. From this definition it also becomes explicitly visible that div F can be seen as the source density of the flux of F.

From his first composition to his last, he rejected the idea of musical development, in the strict definition of this term: the intertwining of different themes in a development section of a sonata form.

From earliest times, some kind of government has arguably been a vital part of every human society — though this refers only to a particularly loose definition of government.

From these three assumptions, neoclassical economists have built a structure to understand the allocation of scarce resources among alternative ends — in fact understanding such allocation is often considered the definition of economics to neoclassical theorists.

From the definition of matrix multiplication, there exists an × matrix, such that.

From the definition of the delta-function, u may also be written as

From the definition, the direction of the electric field is the same as the direction of the force it would exert on a positively-charged particle, and opposite the direction of the force on a negatively-charged particle.

From the definition of ( angular ) wavenumber ;

From the 19th century, a large portion of the Muslim peoples ( termed ' Muhacir ' under a general definition ) of the Balkans, Caucasus, Crimea and Crete took refuge in present-day Turkey and shaped that country's fundamental features.

From Aristotle onward the definition, in philosophical contexts, of the word " essence " is very close to the definition of form ( Gr. morphe ).

From this definition, it is straightforward to find an equivalent charge in SI coulombs.

From the circuit diagram to the right, according to Kirchoff's Laws and the definition of capacitance:

From the circuit in Figure 1 above, according to Kirchoff's Laws and the definition of capacitance:

From Rüssspitz to Wildspitz, from Chiem to Gottschalkenberg, one can discover many scenic highlights ; for example, the Zugerberg mountain and the Walchwilerberg Oberallmig-a ridge of fascinating depth of definition, a moor with national cachet.

From the definition of the magnetic vector potential A and the fundamental theorem of the curl the magnetic flux may also be defined as:

From this, Post was able to derive the following definition of inconsistency without the use of the notion of contradiction:

In convex geometry, a face of a polytope P is the intersection of any supporting hyperplane of P and P. From this definition it follows that the set of faces of a polytope includes the polytope itself and the empty set.

From this definition, the latent heat for a given mass of a substance is calculated by

From the Bronze Age into the Renaissance the average masses of wheat and barley grains were part of the legal definition of units of mass.

From this definition, several other properties can be deduced.