A new South is emerging after the post-bellum years of hesitation, uncertainty, and lack of action from the Negro in defining his new role in the amorphously defined socio-political organizations of the white man.

A small business is defined as one which is independently owned and operated and which is not dominant in its field.

Field shifts were derived from the mean value of the resonance line, defined as the field about which the first moment is zero.

Dirt, which is here defined as particulate material which is usually inorganic and is very often extremely finely divided so as to exhibit colloidal properties.

The international unit is equipotent with the USP unit adopted in 1952, which was defined as the amount of activity present in 20 mg of the USP reference substance.

The function f{t} defined in this way is multi-valued.

In some neighborhood of an isolated tangent point in the f-plane, say Af, the function Af is either double-valued or has no values defined, except at the tangent point itself, where it is single-valued.

Suppose Af is defined in the sub-interval Af.

Where boundary maintenance describes the boundaries or limits of the group, systemic linkage is defined `` as the process whereby one or more of the elements of at least two social systems is articulated in such a manner that the two systems in some ways and on some occasions may be viewed as a single unit.

The positive Kohnstamm reactivity in Condition 1 ( ( the naive state ) is not adequately explained by such a concept as suggestibility ( if suggestibility is defined as the influence on behavior by verbal cues ).

For example, property `` used in the trade or business '' of a transferor corporation, as defined in section 1231, presumably would not retain its special status following a non-taxable reorganization if it is not so used in the business of the acquiring corporation.

Planes defined as parallel to the surface also cut through it into real space, and a depth is suggested optically which is greater than that established pictorially.

**yc is defined by the geometry of the knife ; ;

The gyro angular momentum is defined by H.

But since this is a world in which people disagree about ends and goals and concerning justice and injustice, and since, in a situation where direct action and economic pressure are called for, the justice of the matter has either not been clearly defined by law or the law is not effectively present, there has to be a morality of means applied in every case in which people take it upon themselves to use economic pressures or other forms of force.

Anarchism is generally defined as the political philosophy which holds the state to be undesirable, unnecessary, and harmful ,< ref name =" definition ">

However, it is important to trace the philosophy of the French Revolution to its sources to understand the common democratic origin of individualism and socialism and the influence of the latter on the former.

That is, there was no trace of Anglo-Saxons in Britain as early as the late third century, to which time the archaeological evidence for the erection of the Saxon Shore forts was beginning to point.

Libyan Desert silica-glass, another natural glass, is composed of nearly pure silica and has the same trace germanium content as sands in the area.

It is also important to realize that many girls are born without a hymen or at most only a tiny trace of one ; ;

Her hair was the color of those blooms which in seed catalogues are referred to as `` black '', but since no flower is actually without color contain always a hint of grape or purple or blue -- he wanted to draw the broad patina of hair through his fingers, searching it slowly for a trace of veining which might reveal its true shade beneath the darkness.

At the exact midpoint between the two pKa values, the trace amount of net negative and trace of net positive ions exactly balance, so that average net charge of all forms present is zero.

For picturesqueness the site is not equalled in Cilicia, and it is worthwhile to trace the three fine aqueducts to their sources.

Amethyst is a purple variety of quartz ( SiO < sub > 2 </ sub >) and owes its violet color to irradiation, iron impurities ( in some cases in conjunction with transition element impurities ), and the presence of trace elements, which result in complex crystal lattice substitutions.

The color of amethyst has been demonstrated to result from substitution by irradiation of trivalent iron ( Fe < sup > 3 +</ sup >) for silicon in the structure, in the presence of trace elements of large ionic radius, and, to a certain extent, the amethyst color can naturally result from displacement of transition elements even if the iron concentration is low.

His friend argues that, though it is possible to trace a cause from an effect, it is not possible to infer unseen effects from a cause thus traced.

To trace it starting arbitrarily at South America, it flows through the Drake Passage between South America and the Antarctic Peninsula and then is split by the Scotia Arc to the east, with a shallow warm branch flowing to the north in the Falkland Current and a deeper branch passing through the Arc more to the east before also turning to the north.

There is no trace of heroic monarchy and no tradition of a tyranny.

* Muntz metal is about 60 % copper, 40 % zinc and a trace of iron, used as a lining on boats.

It is also possible to examine the microstructure of brain tissue using a microscope, and to trace the pattern of connections from one brain area to another.

The evolution of baseball from older bat-and-ball games is difficult to trace with precision.

There is no evidence that any trace of the outer capsid remains associated with these cores, as has been described for reovirus.

Moreover, Frederick A. Tatford in Prophet of Edom ’ s Doom says that Obadiah ’ s prophecy is fulfilled today as there is currently no trace of anyone who may be identified as an Edomite.

Bambara is a language / dialect of the Manding language cluster, a cluster of languages whose ethnic-speakers generally trace their cultural history to the ancient city of Manding, where modern-day Kita, Mali now exists.

Particularly common law is in England where it originated in the Middle Ages, and in countries that trace their legal heritage to England as former colonies of the British Empire, including India, the United States, Pakistan, Nigeria, Bangladesh, Canada, Malaysia, Ghana, Australia, Sri Lanka, Hong Kong, Singapore, Ireland, New Zealand, Jamaica, Trinidad & Tobago, Cyprus, Barbados,

One way to trace this decline of the continuo and its figured chords is to examine the decline of the term obbligato, meaning a mandatory instrumental part in a work of chamber music.

The base of the Cambrian is defined on a complex assemblage of trace fossils known as the Treptichnus pedum assemblage.

The Latinized name " Confucius " is derived from " Kong Fuzi ", which was first coined by 16th-century Jesuit missionaries to China, most probably by Matteo Ricci.

Drawing further upon the analogy with geometric Newtonian gravity, it is natural to assume that the field equation for gravity relates this tensor and the Ricci tensor, which describes a particular class of tidal effects: the change in volume for a small cloud of test particles that are initially at rest, and then fall freely.

On the left-hand side is the Einstein tensor, a specific divergence-free combination of the Ricci tensor and the metric.

The Ricci tensor itself is related to the more general Riemann curvature tensor as

Here, R < sub > ij </ sub > is the Ricci tensor.

According to Carla Ricci, “ The place she Magdalene occupied in the list cannot be considered fortuitous ,” because over and over Mary Magdalene ’ s name is placed at the head of specifically named women, indicating her importance.

The metric is improved using the Ricci flow equations ;

where g is the metric and R its Ricci curvature,

This procedure is known as Ricci flow with surgery.

A special case of Perelman's theorems about Ricci flow with surgery is given as follows.

The first step is to deform the manifold using the Ricci flow.

The formula for the Ricci flow is an imitation of the heat equation which describes the way heat flows in a solid.

Perelman proved this note goes up as the manifold is deformed by the Ricci flow.

** Jesuit Matteo Ricci is allowed to enter the country.

* June 29 – Catherine of Ricci ( b. 1522 ) is canonized.

The difference in area of a sector of the disc is measured by the Ricci curvature.

where is the Ricci tensor, is the Ricci scalar ( the tensor contraction of the Ricci tensor ), and is the universal gravitational constant.