Since in oral languages the elements of sound are for the most part produced linearly in time ( that is, in a word like cat the a sound comes after the c sound, and the t sound comes after that ), they can generally be easily written in a linear ( one-dimensional ) writing system such as an alphabet.

It is the two-dimensional analog of the length of a curve ( a one-dimensional concept ) or the volume of a solid ( a three-dimensional concept ).

In most modern computers and many external storage devices, the memory is a one-dimensional array of words, whose indices are their addresses.

A one-dimensional array ( or single dimension array ) is a type of linear array.

Each string is a one-dimensional object, and the largest number of dimensions in which two strings will generically intersect ( and, presumably, annihilate ) is three.

The higher-dimensional chain rule is a generalization of the one-dimensional chain rule.

The Jacobian of f ∘ g is the product of these matrices, so it is, as expected from the one-dimensional chain rule.

Since the mechanism of retention on this new solid support is different from the first dimensional separation, it can be possible to separate compounds that are indistinguishable by one-dimensional chromatography.

Choosing a Cartesian coordinate system for a one-dimensional space — that is, for a straight line — means choosing a point O of the line ( the origin ), a unit of length, and an orientation for the line.

Every field is, of course, one-dimensional over its center.

The driving force for the one-dimensional diffusion is the quantity

If the network is one-dimensional, and the chain of nodes is connected to form a circular loop, the resulting topology is known as a ring.

Like weaving, knitting is a technique for producing a two-dimensional fabric made from a one-dimensional yarn or thread.

In statistics, the Kolmogorov – Smirnov test ( K – S test ) is a nonparametric test for the equality of continuous, one-dimensional probability distributions that can be used to compare a sample with a reference probability distribution ( one-sample K – S test ), or to compare two samples ( two-sample K – S test ).

Any one-dimensional Lie algebra over a field is abelian, by the antisymmetry of the Lie bracket.

It is a Lie group in its own right: specifically, a one-dimensional compact connected Lie group which is diffeomorphic to the circle.

A median is only defined on one-dimensional data, and is independent of any distance metric.

Each theory is fundamentally based on vibrating, one-dimensional strings at approximately the length of the Planck length.

The capacity for making the distinctions of which diplomacy is compact, and the facility with language which can render them into validity in the eyes of other men are the leader's means for transforming the moral intuition into moral leadership.

The purchase of compact ( economy ) cars is being made currently on a test basis.

They estimate further that with sufficient experience and when cost-data of compact cars is compiled, the break-even point may be reduced to 7,500 miles of travel per year.

Fury is upstanding and on the rangy side, and Caper is more the compact type.

Staley Hanover ( Knight Dream-Sweetmite Hanover ) is a little on the small side but a very compact colt and looks like one to stand training and many future battles with colts in his class.

These differences in turn result from the fact that my Yokuts vocabularies were built up of terms selected mainly to insure unambiguity of English meaning between illiterate informants and myself, within a compact and uniform territorial area, but that Hoijer's vocabulary is based on Swadesh's second glottochronological list which aims at eliminating all items which might be culturally or geographically determined.

In a way, we may be witnessing the same thing in the sales of automobiles today as the public no longer is willing to purchase any car coming on the market but is more insistent on compact cars free of the frills which were accepted in the Fifties.

It allows compact encoding, but is less reliable for data transmission ; an error in transmitting the shift code typically makes a long part of the transmission unreadable.

Many theorems which are provable using choice are of an elegant general character: every ideal in a ring is contained in a maximal ideal, every vector space has a basis, and every product of compact spaces is compact.

** Tychonoff's theorem stating that every product of compact topological spaces is compact.

** A uniform space is compact if and only if it is complete and totally bounded.

Its weight also makes it relatively easy to move and carry, however its shape is generally not very compact and it may be difficult to stow unless a collapsing model is used.

An even more compact representation is given by noticing that:

The Government of Burkina Faso is working closely with MCC staff to finalize its compact submission.

* Corollary If X is a Banach space, then X is reflexive if and only if X ′ is reflexive, which is the case if and only if its unit ball is compact in the weak topology.

His religiousness is intimately, or dialectically, connected with his sinfulness ; ;

The fact that sticks out in this voluminous record is that the bulk of Du Pont's production has always supplied the largest part of the requirements of the one customer in the automobile industry connected to Du Pont by a stock interest.

The main set of bars are the `` tappets '' and one tappet is connected to each lever.

Only the independent art schools, that is, those not connected with any university or college, receive severe and separate investigation before accreditation by the various regional organizations.

But Mother insisted, for it is seldom indeed that anyone remotely connected with the cinema is ever received in their exclusive midsts.

It is connected by teletype with the State Library in Albany, which will supply any book to a system that the system itself cannot provide.

The function of Apollo as a " healer " is connected with Paean ( Παιών-Παιήων ), the physician of the Gods in the Iliad, who seems to come from a more primitive religion.

Paeοn is probably connected with the Mycenean Pa-ja-wo, but the etymology is the only evidence.

The connection with Dorians and their initiation festival apellai is reinforced by the month Apellaios in northwest Greek calendars, but it can explain only the Doric type of the name, which is connected with the Ancient Macedonian word " pella " ( Pella ), stone.

A female dragon named Delphyne ( δελφύς: womb ), who is obviously connected with Delphi and Apollo Delphinios, and a male serpent Typhon ( τύφειν: smoke ), the adversary of Zeus in the Titanomachy, who the narrators confused with Python.

The old oracles in Delphi seem to be connected with a local tradition of the priesthood, and there is not clear evidence that a kind of inspiration-prophecy existed in the temple.

The earliest attested name is the Hittite Assuwa a region in central-western Anatolia which seems to be connected with the Mycenean Greek epithet a-si-wi-ja in Linear B inscriptions found at Pylos.

As one component of the interconnected global ocean, it is connected in the north to the Arctic Ocean ( which is sometimes considered a sea of the Atlantic ), to the Pacific Ocean in the southwest, the Indian Ocean in the southeast, and the Southern Ocean in the south.

In the north, it is connected to the Marmara Sea and Black Sea by the Dardanelles and Bosporus.

The main feature of the family is the composite flower type in the form of capitula surrounded by involucral bracts. The name " Asteraceae " comes from Aster, the most prominent generum in the family, that derives from the Greek ἀστήρ meaning star, and is connected with its inflorescence star form.

The legend connected with its foundation is given by Peter Damiani in his Life of St Odilo: a pilgrim returning from the Holy Land was cast by a storm on a desolate island.

Antisemitism ( also spelled anti-semitism or anti-Semitism ) is suspicion of, hatred toward, or discrimination against Jews for reasons connected to their Jewish heritage.

Furthermore, the primary testimony to the commission that connected baseball to Doubleday was that of Abner Graves, whose credibility is questionable ; a few years later, he shot his wife to death and was committed to an institution for the criminally insane for the rest of his life.

The noun is rarely used in American English to refer to people not connected to the United States.

His work in this specific field ( based on the criss-crossing between literary criticism, bibliography, and sociocultural history ) is connected to broader historiographical and methodological interests which deal with the relation between history and other disciplines: philosophy, sociology, anthropology.