The roots of this equation are just the ordinates of the intersections of the graph of B with a straight line of unit slope through Af in the b-plane ( the plane of the graph of b ).

`` If teeth are moved too rapidly, serious injury can be done to their roots as well as to the surrounding bone holding them in place '', explains Dr. Brodie.

In other countries where cereal grains are not among the principal crops of a region, starchy tubers or roots are processed for starch.

Algae lack the various structures that characterize land plants, such as phyllids ( leaves ) and rhizoids in nonvascular plants, or leaves, roots, and other organs that are found in tracheophytes ( vascular plants ).

Carrot, celery and parsley are true biennials that are usually grown as annual crops for their edible roots, petioles and leaves, respectively.

It includes perennial herbaceous plants which are glabrous and have short rhizomes with fibrous roots or are rhizomatous with root tubers.

* The quadratic surds ( irrational roots of a quadratic polynomial with integer coefficients,, and ) are algebraic numbers.

If the quadratic polynomial is monic then the roots are quadratic integers.

** The numbers and are algebraic since they are roots of polynomials and, respectively.

All numbers which can be obtained from the integers using a finite number of integer additions, subtractions, multiplications, divisions, and taking nth roots ( where n is a positive integer ) are algebraic.

Examples of algebraic integers are,, and ( Note, therefore, that the algebraic integers constitute a proper superset of the integers, as the latter are the roots of monic polynomials for all

Ailanthus are capable of forming thick blankets of roots and heavy shade to the extent that native species are prevented from being able to reclaim an area that has been logged or deforested, as well as areas that have been heavily developed.

Neither the crown ( fruit, mescal button ) of the Peyote cactus nor the roots of the plant Mimosa hostilis nor Psilocybe mushrooms themselves are included in Schedule 1, but only their respective principles, mescaline, DMT and psilocin.

Although modern analytical chemistry is dominated by sophisticated instrumentation, the roots of analytical chemistry and some of the principles used in modern instruments are from traditional techniques many of which are still used today.

The word aegis is identified with protection by a strong force with its roots in Greek mythology and adopted by the Romans ; there are parallels in Norse mythology and in Egyptian mythology as well, where the Greek word aegis is applied by extension.

Today, Aleut weavers continue to produce woven grass pieces of a remarkable cloth-like texture, works of modern art with roots in ancient tradition. Birch bark, puffin feathers, and baleen are also commonly used by the Aleuts in basketry.

Still extant echoes of these celebrations are found in the mid-autumn Thanksgiving holiday of the United States and Canada, and the Jewish Sukkot holiday with its roots as a full-moon harvest festival of " tabernacles " ( huts wherein the harvest was processed and which later gained religious significance ).

Being a monarchical state, with its roots invested in Colonial England, black letter law is that which is a term used to describe basic principles of law that are accepted by the majority of judges in most provinces and territories.

The religious practices of druids were syncretic and borrowed from earlier pagan traditions, with probably indo-European roots.

The word squunck is attested in New England in the 1630s, probably borrowed from Abenaki seganku or another Algonquian language, with the Proto-Algonquian form */ šeka: kwa / being a compound of the roots */ šek -/ meaning ' to urinate ' and */- a: kw / meaning ' fox '.

Although it is widely believed that the Latin praenomen Mamercus was of Oscan origin, since Mamers was a Sabine form of Mars, it is not clear to what extent the two cultures ( which sprang from the same origin ) borrowed praenomina from one another, and to what extent they shared names based on roots common to each language.

The word " quadroon " was borrowed from the Spanish cuarterón which has its roots in the Latin quartus, which means fourth.

Current estimates are that " wago " ( i. e. words attributable to the original Yaoyi language ) make up 33. 8 % of the Japanese lexicon, that " kango " ( i. e. words with roots borrowed from Chinese since the 5th century CE ) make up 49. 1 % of Japanese words ( and in addition, the Chinese ideograms used in the Japanese written language ), that foreign words called gairaigo make up 8. 8 % of Japanese words, and that 8. 3 % of Japanese words are konshugo that draw upon multiple languages.

The language has borrowed a great number of roots from the Mongolian language, Tibetan and more recently from the Russian language.

In a typical English dictionary of 80, 000 words, which corresponds very roughly to the vocabulary of an educated English speaker, about 5 % of the words are borrowed from Greek directly, and about 25 % indirectly ( if we count modern coinages from Greek roots as Greek ).

Many words were borrowed from Latin, while others were coined from Latin roots, prefixes, and suffixes, and Latin word elements freely combine with elements from all other languages including native Anglo-Saxon words.

Even though their writing systems have changed over time, Chinese is still found in the historical roots of many borrowed words.

The words concerned instead represent basic vocabulary ( pronoun roots, verbs such as ' do ', ' go ', ' give ') – unlikely to have been borrowed – or items appropriate to a Mesolithic level of culture and therefore plausible as shared terms.

Like its neighbor languages, the language has borrowed a great number of roots from the Mongolian language, as well as words from the Russian language.

Every morning early, in the summer, we searched the trunks of the trees as high as we could reach for the locust shells, carefully detached their hooked claws from the bark where they hung, and stabled them, a weird faery herd, in an angle between the high roots of the tulip tree, where no grass grew in the dense shade.

As soon as an experimental tug assures you that roots have taken over, cut it off from the mother plant.

They gathered roots, bulbs, odd ferns, leaves, and bits of resin from the rare Santa Lucia fir, which exists only on a forty-five mile strip on the westerly side of these mountains.

Tracing the blues from its African roots among the slaves who were brought to this country and the West Indies, he stressed the close relationship between the early jazz forms and the music of the Negro churches.

This was some freak, two strands of adhesive tape across his nose, like ugly roots from the mass of gauze, suddenly moist over his cheekbones.

The word Nepōhualtzintzin comes from the Nahuatl and it is formed by the roots ; Ne-personal -; pōhual or pōhualli-the account -; and tzintzin-small similar elements.

These include all quadratic surds, all rational numbers, and all numbers that can be formed from these using the basic arithmetic operations and the extraction of square roots.

The term " adiabatic " literally means impassable, coming from the Greek roots ἀ-(" not "), διὰ-(" through "), and βαῖνειν (" to pass "); this etymology corresponds here to an absence of heat transfer.

According to The American Heritage Dictionary of the English Language, Asgard is derived from Old Norse āss, god + garðr, enclosure ; from Indo-European roots ansu-spirit, demon ( see cognate ahura ) + gher-grasp, enclose ( see cognates garden and yard ).< ref >; See also ansu-and gher -< sup > 1 </ sup > in " Appendix I: Indo-European Roots " in the same work .</ ref >

Although most cultural systems of astrology share common roots in ancient philosophies that influenced each other, many have unique methodologies which differ from those developed in the West.

The style of New England cookery originated from its colonial roots, that is to say practical, frugal and willing to eat anything other than what they were used to from their British roots.

It was from these roots, of spiritual songs, work songs and field hollers, that blues, jazz and gospel developed.

The word assassin is often believed to derive from the word Hashshashin ( Persian: حش ّ اشين, ħashshāshīyīn, also Hashishin, Hashashiyyin, or Assassins ), and shares its etymological roots with hashish ( or ; from Arabic: ).

BBS which had early roots from the Colossus BBS started by the author of the popular shareware communications program Qmodem.

This is how minerals and water get from roots to other parts of the plant.

More general results from the study were that precipitation and water use lead to above-ground primary production, solar radiation and temperature lead to belowground primary production ( roots ), and temperature and water lead to cool and warm season growth habit.

Composed mainly of soldiers from southern Chad, FAT had its roots in the army recruited by France and had military traditions dating back to World War I.