Using the language of category theory, many areas of mathematical study can be cast into appropriate categories, such as the categories of all sets, groups, topologies, and so on.

A variety of definitions exist: F. Stuart Chapin and coauthors define it as " the application of ecological science to resource management to promote long-term sustainability of ecosystems and the delivery of essential ecosystem goods and services ", while Norman Christensen and coauthors defined it as " management driven by explicit goals, executed by policies, protocols, and practices, and made adaptable by monitoring and research based on our best understanding of the ecological interactions and processes necessary to sustain ecosystem structure and function " and Peter Brussard and colleagues defined it as " managing areas at various scales in such a way that ecosystem services and biological resources are preserved while appropriate human use and options for livelihood are sustained ".

That's what it was built for ... t some stage a rural or regional governor will be appointed and we will need to provide accommodation at Government House so it makes sense to provide appropriate living areas ".

In response to this problem, some LED lighting systems have been designed with an added heating circuit at the expense of reduced overall electrical efficiency of the system ; additionally, research has been done to develop heat sink technologies that will transfer heat produced within the junction to appropriate areas of the luminaire.

This name arguably became more appropriate following division than it had been when the territories actually extended far into Canada's north-central and northeastern areas.

This was particularly appropriate because Onsager, like Willard Gibbs, had been involved primarily in the application of mathematics to problems in physics and chemistry and, in a sense, could be considered to be continuing in the same areas Gibbs had pioneered.

This transactional view of speech acts has significant applications in many areas in which ( human ) individuals have had different roles-for instance-a patient and a physician might meet in an encounter in which the patient makes a request for treatment, the physician responds with a counter-offer involving a treatment she feels is appropriate, and the patient might respond, etc.

Sago palms are typically found in areas unsuited for other forms of agriculture, so sago cultivation is often the most ecologically appropriate form of land-use and the nutritional deficiencies of the food can often be compensated for with other readily available foods.

The economic effects persisted, in part, because of farmers ' failure to switch to more appropriate crops for highly eroded areas.

That's what it was built for ... t some stage a rural or regional governor will be appointed and we will need to provide accommodation at Government House so it makes sense to provide appropriate living areas ".

Concentrating on two tonal areas to musically depict ambiguity and conflict in the text became a hallmark of his style, resolving only when appropriate to the meaning of the song.

When provided with appropriate field settings, brush and forage the pigs do not have problems with heat stress or sunburn, manure is naturally spread over larger areas returning the nutrients to the soil and morbidity levels are far lower providing for a higher survival rate as well as better profits for small farms.

" While different countries and areas of the world have their own requirements, general services offered include free connection to the Internet, training in using the Internet, and relevant content in appropriate languages.

# Identifying and developing appropriate solutions regarding the quality and use of the built environment in urban, suburban and rural areas and making designs, plans and working drawings, specifications of work, cost estimates and time schedules.

* rainwater harvesting systems with an appropriate method of storage, especially in areas with significant dry seasons.

* Birth control is also seen as an appropriate technology, especially now, because of increasing population numbers ( overpopulating certain areas ), increasing food prices and poverty.

* International Journal for Service Learning in Engineering ( IJSLE ) – peer-reviewed, semi-annual online journal, covering appropriate and sustainable technologies and related areas.

Because of the high initial investments, many less wealthy nations cannot afford to develop or sustain appropriate infrastructure, and as a consequence people in these areas may spend a correspondingly higher fraction of their income on water.

The fund concentrates its activities in six areas that were important to Prince Sadruddin: environmental education ; natural resource management in fragile zones ; nature parks and wildlife reserves ; environmentally and culturally appropriate tourism infrastructure ; environmental health ; and research.

This can be done through employee surveys, interviews, focus groups, observation, customer surveys where appropriate, and other internal research, to further identify areas that require change.

Gameplay also incorporated item collection and inventory management, along with areas that are inaccessible until the appropriate item is found.

Thus dividing the world into two exploration and colonizing areas seemed appropriate.

The Batcave is also featured in the 2012 video game " Lego Batman 2: DC Superheroes " which features three parking ' areas ' for land, sea and air based vehicles and their appropriate exits from the cave, the batcomputer, used to replay past levels and ' warp ' to various landmarks in Gotham and other elements shown in Batman media such as a waterfall, a Lincoln Penny and an animatronic T-Rex.

The final stage is to note which areas the route will pass through or over, and to make a note of all of the things to be done-which ATC units to contact, the appropriate frequencies, visual reporting points, and so on.

This is clear when one distinguishes the types of motion appropriate to both regions.

Independence Day is the appropriate date as a symbolical reminder of the American article of faith that governments are instituted among men to secure to them certain inalienable rights, the first of which is life, and when any government becomes subversive of that end, it is the right of the people to alter or abolish it.

She ascribed her delight with both experiences to the effect they seemed to have of temporarily removing from her the controls which she felt so compulsively necessary to maintain even when it might seem appropriate to relax these controls.

Any action is understood to create " seeds " in the mind that sprout into the appropriate results ( Pāli vipaka ) when they meet the right conditions.

Even when the statistical model is nonlinear, it can be approximated by a linear model for which an analysis of variance may be appropriate.

* 1800 – The United States Library of Congress is established when President John Adams signs legislation to appropriate $ 5, 000 USD to purchase " such books as may be necessary for the use of Congress ".

Their convenience in writing both on paper and on fabrics without causing the unwanted bleed-through of ink ( more present on lower grade of papers ) or smears on paper make them appropriate when both presentation and legibility is important, such as on medical papers and carbon based papers.

The Bronze Star Medal may be awarded by the Secretary of a military department or the Secretary of Homeland Security with regard to the Coast Guard when not operating as a service in the Navy, or by such military commanders, or other appropriate officers as the Secretary concerned may designate, to any person who, while serving in any capacity in or with the Army, Navy, Marine Corps, Air Force, or Coast Guard of the United States, after 6 December 1941, distinguishes, or has distinguished, himself by heroic or meritorious achievement or service, not involving participation in aerial flight —

In both the United Kingdom and elsewhere, a common debate centres around when it is appropriate for a monarch to use his or her political powers.

In some situations, cluster analysis is only appropriate when the clusters are approximately the same size.

This makes water the element with the greatest number of sides, which Plato regarded as appropriate because water flows out of one's hand when picked up, as if it is made of tiny little balls.

In prokaryotes and viruses, the term genophore is more appropriate when no chromatin is present.

For instance, when reporting data from a large city, it might be appropriate to give the average income for black males aged between 50 and 60.

Many of Jones ' family welcomed celebrities, animation aficionados and visitors to the new attraction when they opened the attraction in an appropriate and unconventional way.

This allows it to easily corner the monkeys when chasing them in the appropriate direction.

net cash flow to total invested capital and WACC are appropriate when valuing a company based on the market value of all invested capital.

In cases when the use of null hypotheses is not appropriate, ecologists may adopt different kinds of statistical methods, such as the Akaike information criterion, or use models that can become mathematically complex as " several competing hypotheses are simultaneously confronted with the data.

This terseness was appropriate in the early versions of Unix, when consoles were teletypes, modems were slow, and memory was precious.

Their spirits were buoyed on Christmas Eve – when they chose to camp in the lush Dercervian valley near Ephesus, they were ambushed by a Turkish detachment ; the French proceeded to slaughter this detachment and appropriate their camp.

Although success rates are not usually equal to that of epilepsy surgery, it is a reasonable alternative when the patient is reluctant to proceed with any required invasive monitoring, when appropriate presurgical evaluation fails to uncover the location of epileptic foci, or when there are multiple epileptic foci.

While falling foul of Godwin's law tends to cause the individual making the comparison to lose their argument or credibility, Godwin's law itself can be abused as a distraction, diversion or even as censorship, fallaciously miscasting an opponent's argument as hyperbole when the comparisons made by the argument are actually appropriate.

Hypoglycemia due to hormone deficiencies such as hypopituitarism or adrenal insufficiency usually ceases when the appropriate hormone is replaced.

Pope Innocent III initially had supported the Welfs, but when Otto, now sole elected monarch, moved to appropriate Sicily, Innocent changed sides and accepted young Frederick II and his ally, King Philip II of France, who defeated Otto at the 1214 Battle of Bouvines.