Following the same procedure ( i. e. subtract from both sides, and then divide by ), the general solution is given by

Unlike DLP systems ( where it is possible to use the same procedure for squaring and multiplication ) the EC addition is significantly different for doubling () and general addition () depending on the coordinate system used.

Bladder distension ( a procedure which stretches the bladder capacity, done under general anaesthesia ) has shown some success in reducing urinary frequency and giving pain relief to patients.

When new minerals are discovered, a standard procedure of scientific analysis is followed, including measures to identify a mineral's formula, its crystallographic data, its optical data, as well as the general physical attributes determined and listed.

With the aid of French session musicians Barney Wilen, Pierre Michelot, and René Urtreger, and American drummer Kenny Clarke, he recorded the entire soundtrack with an innovative procedure, without relying on written material: starting from sparse indication of the harmony and a general feel of a given piece, the group played by watching the movie on a screen in front of them and improvising.

Flow diagram outlining the general procedure for RNA detection by northern blotting.

A general blotting procedure starts with extraction of total RNA from a homogenized tissue sample or from cells.

:" We were justified intuitionistically in using the classical 2-valued logic, when we were using the connectives in building primitive and general recursive predicates, since there is a decision procedure for each general recursive predicate ; i. e. the law of the excluded middle is proved intuitionistically to apply to general recursive predicates.

For example, in his design for the new CCTV headquarters in Beijing ( 2009 ), Koolhaas did not opt for the stereotypical skyscraper, often used to symbolise and landmark such government enterprises, but instead designed a series of volumes which not only tie together the numerous departments onto the nebulous site, but also introduced routes ( again, the concept of cross-programming ) for the general public through the site, allowing them some degree of access to the production procedure.

One option for oral surgery is to manipulate the jaw under general anaesthetic and wash out the joint with a saline and anti-inflammatory solution in a procedure known as arthrocentesis.

Kagan suggests that such a procedure might be justified on the grounds that, “ a general requirement to promote the good would lack the motivational underpinning necessary for genuine moral requirements ” and, secondly, that personal independence is necessary for the existence of commitments and close personal relations and that “ the value of such commitments yields a positive reason for preserving within moral theory at least some moral independence for the personal point of view .”

ELA is performed as an outpatient procedure and does not require the use of an operating theatre, nor does the patient need a general anaesthetic.

Some persons receiving ECT die during the procedure ( ECT is performed under a general anaesthetic, which always carries a risk ).

It provided general purpose network communications, internetwork routing and packet delivery, including higher level functions such as a reliable stream, and remote procedure calls.

As a general rule, a procedure is considered surgical when it involves cutting of a patient's tissues or closure of a previously sustained wound.

Based on the procedure, anesthesia may be provided locally or as general anesthesia.

During the post-operative period, the patient's general function is assessed, the outcome of the procedure is assessed, and the surgical site is checked for signs of infection.

The German Federal Act on the Public Service provides that any inferior has to consult and support any superiors, that he or she – only – has to follow “ general guidelines " of the superiors, and that he or she would have to be fully responsible for any own act in office, and would have to follow a specific, formal complaint procedure if in doubt of the legality of an order.

While the procedure, initially termed a leucotomy, has been controversial since its inception in 1935, it was a mainstream procedure for more than two decades, prescribed for psychiatric ( and occasionally other ) conditions — this despite general recognition of frequent and serious side-effects.

* The Second Housing Allowance Law of December 1970, which simplified the administration of housing allowances and extended entitlements, increased the income limit to 9, 600 DM per year plus 2, 400 DM for each family member, raised the general deduction on income to determine reckonable income from 15 % to 20 %, allowance rates listed in tales replacing complicated calculation procedure based on “ bearable rent burdens .”

* " In decision theory, a quite general method for proving admissibility consists in exhibiting a procedure as a unique Bayes solution.

Brahmagupta created a general way to solve Pell's equation known as the chakravala method.

The general method for solving the Pell equation given by Bhaskara II in 1150, namely the chakravala ( cyclic ) method, was also based on this identity.

* cyclic ( general formula, n > 2 ) wherein the carbon backbone is linked so as to form a loop.

Saturated hydrocarbons can also combine any of the linear, cyclic ( e. g., polycyclic ) and branching structures, and they are still alkanes ( no general formula ) as long as they are acyclic ( i. e., having no loops ). They also have single covalent bonds between their carbons.

Note that, in general, the corresponding graphs may be cyclic graphs: preorders may have cycles in them.

For general groups, Cauchy's theorem guarantees the existence of an element, and hence of a cyclic subgroup, of order any prime dividing the group order ; Sylow's theorem extends this to the existence of a subgroup of order equal to the maximal power of any prime dividing the group order.

The same argument can be performed in general, and it shows that the fundamental group of SO ( 3 ) is cyclic group of order 2.

Surface fatigue is a process by which the surface of a material is weakened by cyclic loading, which is one type of general material fatigue.

In mathematics, specifically in harmonic analysis and the theory of topological groups, Pontryagin duality explains the general properties of the Fourier transform on locally compact groups, such as R, the circle or finite cyclic groups.

Thus, in Euclidean geometry three non-collinear points determine a circle ( as the circumcircle of the triangle they define ), but four points in general do not ( they do so only for cyclic quadrilaterals ), so the notion of " general position with respect to circles ", namely " no four points lie on a circle " makes sense.

The same argument can be performed in general, and it shows that the fundamental group of SO ( 3 ) is cyclic group of order 2.

The general definition is as follows: a cyclic order on a set is a relation, written, that satisfies the following axioms:

Kummer theory is basic, for example, in class field theory and in general in understanding abelian extensions ; it says that in the presence of enough roots of unity, cyclic extensions can be understood in terms of extracting roots.

Polymyxins are antibiotics, with a general structure consisting of a cyclic

However this is not fully general since some noncommutative logics do not support such an order, such as Yetter's cyclic linear logic.

The truth of suffering ( in cyclic existence in general, including the favourable rebirths )

More generally, any finite abelian group is a direct sum of finite cyclic groups ( by the fundamental theorem of finitely generated abelian groups, though the decomposition is not unique in general ), and thus the representation theory of finite abelian groups is completely described by that of finite cyclic groups, that is, by the discrete Fourier transform.

The theorem is no longer true in general if the extension is abelian but not cyclic.

The simplest cyclic silenes, with only one double bond and no other functional groups, form a homologous series of hydrosilicons with the general formula.

Diarrhoea resulting from cyclic or diarrhoea-predominant IBS may not be optimally treated with diphenoxylate or difenoxin, and may not respond to a meaningful degree to loperamide ; thus, diarrhoea and cramping which does not respond to belladonna derivatives and non-centrally-acting soothing and / or stool-desiccating agents are often treated with conservative doses of codeine, especially where paregoric and / or laudanum are not currently in general use.

All triangles are cyclic, i. e. every triangle has a circumscribed circle .< ref group =" nb "> This can be proven on the grounds that the general equation for a circle with center ( a, b ) and radius r in the Cartesian coordinate system is

* Partita ( Parthia, Parthie, Partia, Feldpartita ): In general a composition with a cyclic suite structure ( also variation structure ).

In particular, in d dimensions, every d + 3 points in general position have a subset of d + 2 points that form the vertices of a cyclic polytope.