From a geometric perspective, a function f is holomorphic at z < sub > 0 </ sub > if and only if its exterior derivative df in a neighborhood U of z < sub > 0 </ sub > is equal to f ′( z ) dz for some continuous function f ′.

From 1925 to 1930 Bayer designed a geometric sans-serif Proposal for a Universal Typeface that existed only as a design and was never actually cast into real type.

From a geometric point of view, all points on a sphere are equivalent – one could select any arbitrary point on the Earth, and create a paper map that covers the Earth with strips that come together at that point and the antipodal point.

From the differential geometric point of view, a parameterized Hamiltonian is considered as a function defined on the parameter manifold that maps each particular set of parameters to an Hermitian operator that acts on the Hilbert space.

From geometric precision to expressionism, the monochrome has proved to be a durable idiom in Contemporary art.

From about the 8th century, Byzantine art began again to use much thinner wire more freely to allow much more complex designs to be used, with larger and less geometric compartments, which was only possible using enamel.

From a technical standpoint, the string playing is good, but the Pro Arte people fail to enter into the spirit of things here.

) From the technical standpoint, records differ from live music to the degree that they fail to convey the true color, texture, complexity, range, intensity, pulse, and pitch of the original.

From the volume standpoint, the total market represented by the sign industry is impressive.

From the standpoint of the army of duffers, however, this was easily the most heartening exhibition they had had since Ben Hogan fell upon evil ways during his heyday and scored an 11 in the Texas open.

From a baroque standpoint it is a moment of divine intervention in the affairs of man.

From an engineering and service standpoint, the Phoenix could be said to be a notable success.

From a monetary standpoint, governments control just how much money is in circulation worldwide, which plays an immense role on how money is spent in one's own country.

From the standpoint of an observer in an inertial frame, the effects can be explained as results of inertia without invoking the centrifugal force.

From a qualitative standpoint, the path can be approximated by an arc of a circle for a limited time, and for the limited time a particular radius of curvature applies, the centrifugal and Euler forces can be analyzed on the basis of circular motion with that radius.

From a rigorous theoretical standpoint, the expected value is the integral of the random variable with respect to its probability measure.

From a psychological standpoint, the ELIZA effect is the result of a subtle cognitive dissonance between the user's awareness of programming limitations and their behavior towards the output of the program.

Eppig, Fincher, and Thornhill ( 2009 ) argue that " From an energetics standpoint, a developing human will have difficulty building a brain and fighting off infectious diseases at the same time, as both are very metabolically costly tasks " and that " the Flynn effect may be caused in part by the decrease in the intensity of infectious diseases as nations develop.

From the standpoint of group theory, isomorphic groups have the same properties and need not be distinguished.

From a political standpoint, the Whig Party had been in decline in the South because of the effectiveness with which the Democrats had hammered Whigs over slavery issues.

From the Mings ' standpoint, the Portuguese were ultimately responsible for the massacre, since it was they who provoked the Chinese through " rapaciousness ".

From a geological standpoint, the Ohio River is young.

From Stroessner's standpoint, there were ominous similarities between Somoza and himself.

From this standpoint, Pantheism is the view that everything is part of an all-encompassing, immanent God.

From the standpoint of radiation protection, radiation is often separated into two categories, ionizing and non-ionizing, to denote the level of danger posed to humans.

From a diagnostic standpoint, organic disorders were those held to be caused by physical illness affecting the brain ( that is, psychiatric disorders secondary to other conditions ), while functional disorders were considered to be disorders of the functioning of the mind in the absence of physical disorders ( that is, primary psychological or psychiatric disorders ).

From the standpoint of the doctrine of the Trinity — one Divine Being existing in three Persons — patripassianism is considered heretical because it denies the distinct personhood of the Members of the Trinity.

" From his standpoint, he could now threaten the entire Crusader coast.

From a military standpoint, historian John Keegan notes exaggerations and myths that surround Shaka, but nevertheless maintains:

For them, ' primitive ' denotes irrational use of resources and absence of the intellectual and moral standards of ' civilised ' human societies .... From the standpoint of anthropological knowledge, both these views are equally one-sided and simplistic.

From a rhetorician's standpoint, an effective scheme of omission that Poe employs is diazeugma, or using many verbs for one subject ; it omits pronouns.

From 1613 on, if the lists exist, they contain between twenty to thirty names.

From listening to their recordings, one had difficulty determining if the Crickets, the name of Buddy's band, were white or black singers.

From a theoretical perspective, both tao and dao transliterations if pronounced according to English spelling conventions are equally close to, or far from, the Standard Chinese pronunciation of 道.

From the above properties an important feature arises: Looking at two triangles ABD and BCD with the common edge BD ( see figures ), if the sum of the angles α and γ is less than or equal to 180 °, the triangles meet the Delaunay condition.

From the eigenvalues and the eigenvectors of A it is possible to determine if an initial point will converge or diverge to the equilibrium point at the origin.

From the Eastern Orthodox perspective, a council is accepted as being ecumenical if it is accepted by the Eastern Orthodox church at large – clergy, monks and assembly of believers.

From these hypotheses, it is also possible to prove that there is only one God in each world by Leibniz's law, the identity of indiscernibles: two or more objects are identical ( are one and the same ) if they have all their properties in common, and so, there would only be one object in each world that possesses property G. Gödel did not attempt to do so however, as he purposely limited his proof to the issue of existence, rather than uniqueness.

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 British point of view, it was regarded as highly desirable to keep Romania and its oil out of German hands ; since Germany had hardly any natural supplies of oil, the ability of the Royal Navy to successfully impose a blockade represented a British trump card both to deter war, and if necessary, win a war.

From time to time Lord Rayleigh participated in the House of Lords ; however, he spoke up only if politics attempted to become involved in science.

From this the sum of the interior angles can be easily confirmed, even if some interior angles are more than 180 °: going clockwise around, it means that one sometime turns left instead of right, which is counted as turning a negative amount.

From this we learn that, although Pius's defenders still say that he paid a golden ransom in a vain effort to save Rome's Jews from transportation to the death camps, the most he did was indicate a willingness to chip in if the Jews could not raise the sum demanded.

From this time, there was a growing acceptance of the position of Prime Minister and the title was more commonly used, if only unofficially.

From licenses MR and upward there is also a " B " Condition which may apply to your license if you do your testing in a Synchromesh or Automatic Transmission Vehicle.

From the 1830s until the 1940s, mechanical calculating machines such as adders and multipliers were built and improved, but they could not perform an " if / goto " and therefore are not true computers.

:: 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 an investor's point of view, shares offer the potential for higher returns and capital gains if the company does well.

From him we learn that the Sudovians lived secluded from the Samlandish, would marry within their own tribe and did not allow intermarriage with the neighbouring Prussian population " even if begged ".

From version 3. 9. 2, the holder of the copyright, the University of Washington, changed the license so that even if the source code was still available, they did not allow modifications and changes to Pine to be distributed by anyone other than themselves.

From their superficially tadpole-like forms, leaf or paddle-shaped tails, and various degrees of streamlining, it is assumed that all vetulicolians discovered thus far were swimming animals that spent much, if not all, of their time living in the water column.