Various equivalent notions of compactness, including sequential compactness and limit point compactness, can be developed in general metric spaces.

Various types of early intervention or equivalent programs can help a child reach full developmental potential.

Various equivalent formulations to the above definition exist.

Various equivalent characterizations of these modules appear below.

Various historical German states have used an equivalent title, Reichskommissar ( a compound of Reich and the German Kommissar ), for several administrators who held responsibility over a territory or area of government.

Various labour-saving devices were utilised to produce a simple, standard and effective design, able to produce equivalent power to some of the " Pacifics " that were still available as legacies of the Big Four.

Various General Synods of the United Church of Christ have regarded the human pre-embryo as due great respect not regarded the pre-embryo as the equivalent of a person.

Various model theoretic ideas are related to quantifier elimination, and there are various equivalent conditions.

Various neutron interferometry experiments demonstrate the subtlety of the notions of duality and complementarity.

Various definitions of compactness may apply, depending on the level of generality.

Various international treaties attempt to reduce pollution caused by environmental threats such as oil spills, marine debris, and the incineration of toxic wastes at sea.

# Various basic foodstuffs such as rice, sugar, wheat, cooking oil and butter ( the Salex Group enjoys a de facto monopoly on imports of wheat, sugar, flour, butter and cooking oil.

Various manufacturers started producing PCI busboards for the A1200 and A4000, allowing standard Amiga computers to use PCI cards such as Voodoo graphic cards, Sound Blaster sound cards, 10 / 100 Ethernet cards, and TV tuner cards.

Various historical sources such as Martin Ewans, E. J.

Various historical sources such as Martin Ewans, E. J.

Various smaller communities, such as the Old Catholic and Independent Catholic Churches, include the word Catholic in their title, and share much in common with Roman Catholicism but are no longer in communion with the See of Rome.

Various cults and religions, such as Danza del Cordon and Afro-Cuban religion, incorporate Taíno spiritual practices.

Various examples include personal finance authors and writers such as Robert Kiyosaki, Suze Orman, Jean Chatzky, and Jim Cramer as well as fitness personalities such as Richard Simmons, Jane Fonda, Suzanne Somers, and Tamilee Webb.

Various pastors and other religious figures and activists such as Rick Warren, Al Sharpton and Jesse Jackson campaigned for various social and political causes have achieved celebrity status in mainstream media as well.

Various results in probability theory about expected values, such as the strong law of large numbers, will not work in such cases.

Various conventions of the detective genre were standardized during the Golden Age, and in 1929 some of them were codified by writer Ronald Knox in his ' Decalogue ' of rules for detective fiction, among them to avoid supernatural elements, all of which were meant to guarantee that, in Knox's words, a detective story " must have as its main interest the unravelling of a mystery ; a mystery whose elements are clearly presented to the reader at an early stage in the proceedings, and whose nature is such as to arouse curiosity, a curiosity which is gratified at the end.

Various attempts have been made to address this problem, many of them gathering under banners such as post-relational or NoSQL.

Various concepts based on length, such as the arc length of curves, area of plane regions, and volume of solids all possess natural analogues in Riemannian geometry.

Various modern compiler static code analysis techniques ( such as elimination of dead code: for example, code which uses the processor but produces internal results which are not used or output ) make the use and design of synthetic benchmarks more difficult.

Various styles dictate the curve of the fingers and thumb, as do the style of piece ; a more pronounced curve and lighter hold on the bow is used for virtuoso or more delicate pieces, while a flatter curve and sturdier grip on the bow sacrifices some power for easier control in strokes such as detaché, spiccato, and staccato.

Various collections of such recipes have been published in book form in Esperanto, e. g. Internacie kuiri (“ Cooking Internationally ”) by Maria Becker-Meisberger, published by FEL ( Flemish Esperanto League ), Antwerp 1989, ISBN 90-71205-34-7, Manĝoj el sanigaj plantoj (“ Healthy Vegetable Dishes ”) by Zlata Nanić, published by BIO-ZRNO, Zagreb 2002, ISBN 953-97664-5-1.

Various internet laws generally regard any message or post that threatens, harasses, or degrades another user as cyber harassment and as such can be considered criminal in some jurisdictions.

Various reasons have been suggested for the resistance to the Celsius system in the U. S., including the larger size of each degree Celsius ( resulting in the need for decimals where integer Fahrenheit degrees were adequate for much non-technical work ), the lower zero point in the Fahrenheit system ( which reduces the number of negative signs when measurements such as weather data were averaged ), and the more intuitive alignment of its 0-100 scale to the ordinary range of outdoor temperatures seen in most of the U. S. ( e. g., 0 ° F

Various tangibles and intangibles such as national or international advertising, training and other support services are commonly made available by the franchisor.

Various political Muslim leaders since have styled themselves Caliph and served as dynastic heads of state, sometimes in addition to another title, such as the Ottoman Sultan.

Various factors such as low pH, high CO < sub > 2 </ sub > and high 2, 3 BPG at the level of the tissues favor the taut form, which has low oxygen affinity and releases oxygen in the tissues.

Various scholars on early Wiccan history, such as Ronald Hutton, Philip Heselton, and Leo Ruickbie concur that witchcraft's early rituals, as devised by Gardner, contained much from Crowley's writings such as the Gnostic Mass.

Various naval conferences were held during the period between the First and Second World Wars to limit the number and size of major warships of the five great naval powers.

Various factors limit the escalation of aggression, including communicative displays, conventions and routines.

Various techniques used by source coding schemes try to achieve the limit of Entropy of the source.

Various other ways to define limit ordinal are:

Various pathologies and anomalies cause conditions such as diffusion limitation, ventilation / perfusion mismatch, and pulmonary shunts that can limit oxygenation of the blood and therefore oxygen distribution.

After relocating the government to Taiwan, where many cities considered to be insignificant had large populations, the Republic of China government raised the limit to 500, 000 in 1981 in the Scheme on the Local Rules in Various Counties and Cities of Taiwan Province ( 臺灣省各縣市實施地方自治綱要 ).

Various sanctions were introduced to limit cultural activities that were deemed anti-Soviet.

Various constraints are often applied to help ensure that the desired properties expected at the theoretical limit of infinite block size occur at a finite block size.

Various " Special Limit " hands exist which, if obtained ( which is unlikely ), give the holder the maximum permitted amount ( the limit ) of points for his hand.

Various measures to mitigate the impact on the public service obligations of the institution were contemplated by Parliament, and a compromise was agreed to limit the impact of the deficit, the main component of which was the authorization of the sale of DR's concert hall into private ownership.