So assume ƒ is differentiable at 0, as a function of two real variables from Ω to C. This is equivalent to the existence of two complex numbers and ( which are the partial derivatives of ƒ ) such that we have the linear approximation

If one identifies C with R < sup > 2 </ sup >, then the holomorphic functions coincide with those functions of two real variables with continuous first derivatives which solve the Cauchy-Riemann equations, a set of two partial differential equations.

However, many manifestly typed languages support partial type inference ; for example, Java and C # both infer types in certain limited cases.

The single combination of pressure and temperature at which liquid water, solid ice, and water vapour can coexist in a stable equilibrium occurs at exactly 273. 16 K ( 0. 01 ° C ) and a partial vapour pressure of 611. 73 pascals ( ca.

For example, air at sea level, and saturated with water vapor at 20 ° C, has partial pressures of about 23 mbar of water, 780 mbar of nitrogen, 210 mbar of oxygen and 9 mbar of argon.

If all mixed second order partial derivatives are continuous at a point ( or on a set ), f is termed a C < sup > 2 </ sup > function at that point ( or on that set ); in this case, the partial derivatives can be exchanged by Clairaut's theorem:

He described observing a partial solar eclipse in 330 B. C.

Female genital mutilation ( FGM ), also known as female genital cutting ( FGC ), female circumcision, or female genital mutilation / cutting ( FGM / C ), refers to " all procedures involving partial or total removal of the external female genitalia or other surgery of the female genital organs whether for cultural, religious or other non-therapeutic reasons.

Figure 1: A, B, C. Obduction of an ophiolite sheet by the partial subduction of an Atlantic type continental margin.

* MXFComponentSuite is a set of components with C ++, ActiveX and DirectShow APIs configured to perform tasks like import, export, metadata update, partial restore ( subclip ) and was released in 2004. currently BlueOrder, DAVID GmbH, Harris NEXIO, PixelPower, Panvidea, VSN, Telestream FlipFactory uses this tool.

Anglican theologian O. C. Quick cautions however that this agape within human experience is " a very partial and rudimentary realization ," and that " in its pure form it is essentially divine.

) This version adds a modern C ++ parallel computing library called the Parallel Patterns Library, partial support for C ++ 11, significantly improved IntelliSense, and performance improvements to both the compiler and generated code.

The formulas are defined given a database schema S = ( D, R, h ) and a partial function type: V -> 2 < sup > C </ sup > that defines a type assignment that assigns headers to some tuple variables.

This reaction takes place at 900 ° C ( at which temperature the partial pressure of CO < sub > 2 </ sub > is 1 atmosphere ), but a temperature around 1000 ° C ( at which temperature the partial pressure of CO < sub > 2 </ sub > is 3. 8 atmospheres ) is usually used to make the reaction proceed quickly.

Due to the increasing potential for a higher water vapor partial pressure at higher air temperatures, the water content of air at sea level can get as high as 3 % by mass at 30 ° C ( 86 ° F ) compared to no more than about 0. 5 % by mass at 0 ° C ( 32 ° F ).

Let C be a positively oriented, piecewise smooth, simple closed curve in the plane < sup > 2 </ sup >, and let D be the region bounded by C. If L and M are functions of ( x, y ) defined on an open region containing D and have continuous partial derivatives there, then

* George Beall ( b. 1729 ), landowner whose partial holdings were ceded to establish Georgetown in Washington, D. C.

A partial list of DC ++ mods is given below.

* Dune ( software ), a C ++ library for the solution of partial differential equations

Ada, certain C and C ++ implementations, D, and assembly language allow at least partial control of data structure padding, which may be useful in certain special circumstances.

* StormLib high level opensource cross-platform C ++ library for manipulating MPQ archives as well as partial, encrypted and patched MPQ archives.

* Pioneer 1 ( Thor-Able 2, Pioneer I ) – Lunar orbiter, missed Moon ( third stage partial failure ) October 11, 1958

Multiple cingultomies lead to the increase in responders by 6 % and to partial responders by 11 %.

There is evidence of human habitation in the caves at Cheddar Gorge 10, 000 – 11, 000 years BC, during a partial thaw in the ice age.

# Say that 26 cannot be divided by 11 ; division becomes a partial function.

Prader – Willi syndrome (; abbreviated PWS ) is a rare genetic disorder in which seven genes ( or some subset thereof ) on chromosome 15 ( q 11 – 13 ) are deleted or unexpressed ( chromosome 15q partial deletion ) on the paternal chromosome.

Between 1929 and 1937, 15 partial craniums, 11 lower jaws, many teeth, some skeletal bones and large numbers of stone tools were discovered in the Lower Cave at Locality 1 of the Peking Man site at Zhoukoudian, near Beijing, in China.

During the past 11, 000 years, Nevado del Ruiz passed through at least 12 eruption stages, which included multiple slope failures ( rock avalanches ), pyroclastic flows and lahars leading to partial destruction of the summit domes.

There are 11 types of elements, which consist of full and partial ( only 2 or 3 sides complete ) squares.

Within Jaworzno's boundaries there are 41 plant species under strict protection and 11 under partial protection.

One of the occasions when the Brigade did undertake an operation on its own, Le Mesnil-Patry / Rots on 11 June 1944, ended with only a partial success and severe losses to the Canadians.

One of the occasions when the Brigade did undertake an operation on its own, Le Mesnil-Patry / Rots on 11 June 1944, ended with only a partial success and severe losses to the Canadians.

During her lifetime, she was the beneficiary of Forbes family trusts, which her son John Kerry is now the partial beneficiary ; as Rosemary was one of 11 children, there is not much that remained.

The holotype specimen, IGM 100 / 11, consists of a partial skeleton including the skull and lower jaws.

These included 5 more complete calvaria, 9 large cranial fragments, 6 facial fragments, 14 partial mandibles, 147 isolated teeth, and 11 postcranial elements — estimated to represent as least 40 individuals.

Factor XII does play an important role in clot formation during in vitro measurements of the partial thromboplastin time, which causes these measurements to be markedly prolonged in patients with factor XII deficiency, usually well beyond even what is seen in hemophilia A, hemophilia B, or factor 11 deficiency.

In May 1976, despite a then-recent Court of Appeal decision ( 11 December 1975 ) not to overturn Davis's criminal conviction, the Home Secretary, Roy Jenkins, on partial completion of a police review of the case, agreed to recommend the release of Davis without further referral back to the Court of Appeal.

The holotype ( IPHG 1922 X46 ), of an individual estimated to be about 11 m ( 36 ft ) long and weighing about 2. 8 tons, consisted of a partial skull ( including a maxilla lacking nasal process, a nasal, and a parietal ), teeth, cervical and caudal vertebrae, a manual ungual, an ilium, a pubis (> 800 mm ), a 1. 26 m ( 4. 1 ft ) long femur, and a fibula ( 880 mm ).

Poor financial results followed by a spell under Chapter 11 bankruptcy protection necessitated a partial reversal of this strategy and resulted in the resumption of limited charter services from bases in the US the following year.

A partial femur from another individual belongs to an animal estimated as 11 m ( 36 ft ) long.

In reality, some of those triangles are partially or fully nonexistent due to supports and doors ; there are actually only 11, 324 silvered facets, with 954 partial or full flat triangular panels.

An CA $ 11 million overpass and partial interchange of the freeway was built and opened on October 18, 1987 over the objections of many area residents on concerns over increased traffic volume.

In 2004, Borowski suffered from a partial tear in his right rotator cuff which limited him to just 22 games, in which he struggled, going 2-4 with an 8. 02 ERA and recording 9 saves in 11 opportunities.

* A partial ( 7: 11 ) audio recording of the original parade can be found on the CD Disneyland / Walt Disney World Music Vacation.