* As a regulatory agency, LAFCo is charged with “ discouraging urban sprawl and encouraging the orderly formation and development of local agencies ” based on “ local circumstances and conditions .” LAFCo's regulatory responsibilities include reviewing, approving or denying proposals to annex land to cities or special districts.

The inverse limit and the natural projections satisfy a universal property described in the next section.

The product R, together with the projections p < sub > i </ sub >, has the following universal property:

Orthographic projections have the property that all parallel lines in 3-space will remain parallel in the 2-D representation.

On February 7, 2000, the DCA Board developed the requested information, including detailed financial projections, and sent it to all Duck property owners and registered voters.

Another good property would be that the projections of x < sub > n </ sub > on a lower-dimensional face of I < sup > s </ sup > leave very few holes as well.

The projection ’ s equal-area property follows from the fact that its source projections are themselves both equal-area.

In the early 1980s, financial projections of the Social Security Administration indicated near-term revenue from payroll taxes would not be sufficient to fully fund near-term benefits ( thus raising the possibility of benefit cuts ).

According to the projections of the Social Security Administration, the Trust Fund will continue to show net growth until 2022 because the interest generated by its bonds and the revenue from payroll taxes exceeds the amount needed to pay benefits.

She gave her last public speech, on May 25, 2011, at the Canadian Club of Ottawa, entitled Serving Parliament Through a Decade of Change, where she warned the government faces long-term fiscal pressures that will mean " very hard choices " between raising taxes or cutting programs and encouraged the government to publicize its long-term fiscal projections because " without them, we cannot begin to understand the scale and complexity of our financial challenges and the implication of policy choices .".

Thus the Af are projections which correspond to some direct-sum decomposition of the space V.

If Af are the projections associated with the primary decomposition of T, then each Af is a polynomial in T, and accordingly if a linear operator U commutes with T then U commutes with each of the Af, i.e., each subspace Af is invariant under U.

Such projections, however, appear highly speculative and the capacities involved are far beyond those foreseen for food-preservation facilities.

The coordinates of the vector are equal to the projections of the vector ( yellow ) onto the x-component basis vector ( green )-using the dot product ( a special case of an inner product, see below ).

The coordinates of the vector are equal to the projections of the vector ( yellow ) onto the x-component basis vector ( green )-using the inner product ( see below ).

Unlike with geographical maps, where many famous projections are known ( such as the Mercator projection ), the calendar projection is a matter of such triviality that no names for these exist in common circulation.

They are used for a variety of purposes from study of the dynamics of the weather and climate system to projections of future climate.

Dendrites ( from Greek δένδρον déndron, " tree ") are the branched projections of a neuron that act to conduct the electrochemical stimulation received from other neural cells to the cell body, or soma, of the neuron from which the dendrites project.

Financial losses are usually simple to quantify but in complex cases which involve loss of pension entitlements and future loss projections, the instructing solicitor will usually employ a specialist expert actuary or accountant to assist with the quantification of the loss.

The earnings estimates and growth rate projections published widely by Thomson Reuters and others can be considered either ' fundamental ' ( they are facts ) or ' technical ' ( they are investor sentiment ) based on your perception of their validity.

In linear algebra, projections are idempotent.

In fact, the projections of a vector space are exactly the idempotent elements of the ring of linear transformations of the vector space.

There are six auxiliary latitudes that have applications to special problems in geodesy, geophysics and the theory of map projections:

they are used only as intermediate constructs in map projections of the reference ellipsoid to the plane: their numerical values are not of interest.

The expressions below give the auxiliary latitudes in terms of the geodetic latitude, the semi-major axis, a, and the eccentricity, e. The forms given are, apart from notational variants, those in the standard reference for map projections, namely " Map projections — a working manual " by J. P. Snyder.

* Azimuthal or Gnomonic map projections are often used in planning air routes due to their ability to represent great circles as straight lines.

Furthermore, there are projections from the brain to the spinal cord that are capable of enhancing or inhibiting the reflex.

Alternatively, the objects are called the first and second coordinates, or the left and right projections of the ordered pair.

Where rocks are exposed, latitudes can often be determined from the orientation of preserved magnetic fields ( see paleomagnetism ) but longitudes are based on projections that are increasingly uncertain as one gets further from the present.

Maps based on scientific principles had been made since the time of Eratosthenes ( 3rd century BC ), but Ptolemy improved projections.

In 2009, according to a preliminary report from the Environmental Protection Agency published in November 2009, which is based on 2009 pre-model year production projections provided by automakers, Hyundai, at an average of, is the second most fuel-efficient automaker in America, after Honda's combined U. S. fleet of Honda and Acura models at an average of.

World population from 500CE to 2150, based on UN 2004 projections ( red, orange, green ) and US Census Bureau historical estimates ( black ).

Physically based general circulation models are often used in theoretical approaches to match past climate data, make future projections, and link causes and effects in climate change.

In a proposed Participatory Economy, key information relevant to converging on an economic plan would be made available by Iteration Facilitation Boards ( IFBs ), which, based on proposals from worker / consumer councils and economic data, present indicative prices and economic projections at each round of the planning process.

These announcements were based on projections from Peru's top polling firms, which base their numbers on exit polls.

The prominent pollsters quickly modified projections based on samples of actual vote counts from selected polling places, better known as the " quick count ".

However, a Phelps-Dodge spokesman recently remarked that " based on current economic projections, our properties in New Mexico will not be operating in 25 years ".

Naturalists once classified these iguanas as a separate subspecies ( Iguana iguana rhinolopha ); however, this classification has been found to be invalid based on mitochondrial DNA and iguanas with similar nose projections appear randomly in other populations and interbreed freely with those that do not share this trait.

IBC is not an " estimate " of total civilian deaths based on projections or other forms of extrapolation.

The most recent classification ( Sirenko 2006 ) is based not only on shell morphology, as usual, but also other important features including aesthetes, girdle, radula, gills, glands, egg hull projections and spermatozoids.

CT is based on the same principles as X-Ray projections but in this case, the patient is enclosed in a surrounding ring of detectors assigned with 500-1000 scintillation detectors ( fourth-generation X-Ray CT scanner geometry ).

Since the allocations must inherently be made based on expectations of future events, the mechanism for allocation must provide for prospective adjustments where prior projections of events have proved incorrect.

In the event, the projections of advertising revenue on which TVS had based its massive bid turned out to be correct.

The argument for a new town was based on projections indicating population increases over the following decades that would require large scale house building.

It also emerged that the population projections for Northern Ireland upon which the project was based were wildly inaccurate, with the result that the planned development was redundant.

Wilson pointed out frequently that defense policy should be long-term and not based on short-range projections of Soviet-American relations.

By contrast, dynamic scoring refers to projections based on historical response of population to the effect of economic policy changes such as tax increases or cuts.

The beings may be rational, that is to say, their interests may be carefully selected based on future projections, but this is not compulsory ; here, the definition of " party " extends to all sentient beings, even those living solely in the present.

) is a tool postal management uses to redistribute and eliminate overtime costs, based on consultation with the Carrier about his / her estimated workload for the day and mail volume projections from the DOIS ( Delivery Operations Information System ) computer program.

In February 2008, USGS scientists published a projected range map for the US, based on average climate data of the snake's home range and global warming projections, which predicted that by the end of the 21st century these snakes could migrate to and flourish in as much as a third of the continental United States, including all three coasts.

::* Directs the Secretary to develop and maintain for the Nation, State, and local areas, current employment data by occupation and industry, based on the occupational employment statistics program, including selected sample surveys, and projections by the Bureau of Labor Statistics of employment and openings by occupation.