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alternative and proof
The terms ' integrative ' or ' integrated medicine ' indicate combinations of conventional and alternative medical treatments that have some scientific proof of efficacy ; such practices are viewed by advocates as the best examples of complementary medicine.
An alternative method is program derivation, to " develop proof and program hand in hand ".
In 2001 the same authors announced an alternative proof, by proving the snark theorem (; ).
George Boolos has since sketched an alternative proof of the first incompleteness theorem that uses Berry's paradox rather than the liar paradox to construct a true but unprovable formula.
The alternative is formal software verification, which uses mathematical proof techniques to show the absence of bugs.
An alternative proof works by double counting.
An alternative, non-trigonometric proof utilizes two applications of Heron's triangle area formula on similar triangles.
Later, Borwein provided an alternative proof.
An alternative proof of the result that subgroup of index lowest prime p is normal, and other properties of subgroups of prime index are given in.
After his return to Australia, he set about designing a new method to bring in jointly optimized sociotechnical systems, one designed for diffusion of the concept rather than proof that there was an alternative to autocracy in the workplace.
Intuitively, this is allowed in the antecedent because we can always restrict the scope of our proof ( if all cars have wheels, then it's safe to say that all black cars have wheels ); and in the succedent because we can always allow for alternative conclusions ( if all cars have wheels, then it's safe to say that all cars have either wheels or wings ).
However, proof is lacking, and an electrical battery explosion has been offered as a possible alternative.
Due to Tudor propaganda efforts, it was long believed that they were both murdered not long afterward on Richard III's orders ; however, the lack of any conclusive proof of their fate has led to alternative scenarios being proposed, for instance that that both boys were murdered on the orders of one of Margaret Beaufort, Henry Stafford, Duke of Buckingham, John Morton or Henry VII, or that Richard survived.
An explanation involving circumstantial evidence becomes more valid as proof of a fact when the alternative explanations have been ruled out.
An alternative characterization of line graphs was proven by ( and reported earlier without proof by ).
Thus, the complementation property of perfect graphs can provide an alternative proof of Dilworth's theorem.
That attempting to cause grievous bodily harm must be an alternative verdict should the intended " victim " not die would be a strange outcome because there is no intention to cause any long-lasting and serious injury: the two attempted offences have different mens rea requirements so that proof of intent to murder would not necessarily meet the requirement for section 18 of the 1861 Act.
An alternative proof is simply obtained with the rearrangement inequality.
Colloidal silver is commonly used as an antimicrobial in alternative medicine without clear scientific proof of effectiveness.
We follow the treatment in Bressoud's book ; for an alternative combinatorial proof see the paper by Zeilberger.
For an alternative proof, consider matrix properties.
An alternative proof goes as follows, using its own diagram:

alternative and uses
Protestants have objected that this theory is not explicitly found in Scripture and the New Testament uses ' bishop ' and ' presbyter ' as alternative names for the same office.
Anthropogenic biomes provide an alternative view of the terrestrial biosphere based on global patterns of sustained direct human interaction with ecosystems, including agriculture, human settlements, urbanization, forestry and other uses of land.
An alternative process uses a hydrogen-based solution.
An alternative classification, introduced by B. Gladman, B. Marsden and C. VanLaerhoven in 2007, uses 10 million years orbit integration instead of the Tisserand parameter.
: Economics is a science which studies human behaviour as a relationship between ends and scarce means which have alternative uses.
In modern homes without chimneys he uses alternative means to enter the home.
As an alternative, moss graffiti is starting to catch on, which uses moss to create text or images.
An alternative pronunciation uses a hard " G " as in " graphics ", reflecting the expanded acronym.
An alternative to the histogram is kernel density estimation, which uses a kernel to smooth samples.
The most skilled craftsmen were especially hard hit, because there were few alternative uses for their specialised skills.
An alternative representation uses degrees and minutes, where parts of a minute are expressed in decimal notation with a fraction, thus: 23 ° 27. 500 ′ E. Degrees may also be expressed as a decimal fraction: 23. 45833 ° E. For calculations, the angular measure may be converted to radians, so longitude may also be expressed in this manner as a signed fraction of π ( pi ), or an unsigned fraction of 2π.
Revolutionary syndicalism is a type of economic system proposed as a replacement for capitalism and an alternative to state socialism, which uses federations of collectivised trade unions or industrial unions.
One of the goals of microeconomics is to analyze market mechanisms that establish relative prices amongst goods and services and allocation of limited resources amongst many alternative uses.
Others have proposed alternative uses of macros, such as anaphoric macros in macro systems that are unhygienic or allow selective unhygienic transformation.
Such devices may still understand vector languages originally designed for plotter use, because in many uses, they offer a more efficient alternative to raster data.
It is not a sequel to Quake ; it merely uses the name of the former game due to id's difficulties in coming up with alternative names.
Syndicalism is a type of economic system proposed as a replacement for capitalism and an alternative to state socialism, which uses Confederations of collectivised trade unions or industrial unions.
In the conventional form using cross products, vector calculus does not generalize to higher dimensions, while the alternative approach of geometric algebra, which uses exterior products does generalize, as discussed below.
While some of these uses have faded with access to alternative technologies, walrus meat remains an important part of local diets, and tusk carving and engraving remain a vital art form.
:: Note: In networks that are based upon the partially connected mesh topology, the data that is transmitted between nodes in the network takes many shortest paths between nodes using a technology like Shortest Path Bridging, except in the case of a failure or break in one of the links, in which case the network uses the remaining alternative paths to the destination.
This is also called asynchronous time-division multiplexing ( ATDM ), in an alternative nomenclature in which STDM designates " synchronous time-division multiplexing ", the older method that uses fixed time slots.
They are equivalent to what the factors could earn for the firm in alternative uses, either operated within the firm or rent out to other firms.
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