The canonical map ker: X ^ X → Con X, relates the monoid X ^ X of all functions on X and Con X. ker is surjective but not injective.

Less formally, the equivalence relation ker on X, takes each function f: X → X to its kernel ker f. Likewise, ker ( ker ) is an equivalence relation on X ^ X.

This applies to the I-indexed diagrams in the category of R-modules, with R a commutative ring ; it is not necessarily true in an arbitrary abelian category ( see Roos ' " Derived functors of inverse limits revisited " for examples of abelian categories in which lim ^ n, on diagrams indexed by a countable set, is nonzero for n > 1 ).

This is done by considering the speed of light, the quantum scale, the gravitational constant and the Boltzmann constant, giving a performance of 5. 4258 * 10 ^ 50 logical operations per second on approximately 10 ^ 31 bits.

It is well established that when this linear polarized light passes through another polarizer, also called analyzer, the transmitted light intensity could be varied depending on their relative angle θ governed by a cos ^

However, note that depending on the language and the function, NaNs can silently be removed in expressions that would give a constant result for all other floating-point values e. g. NaN ^ 0, which may be defined as 1, so in general a later test for a set INVALID flag is needed to detect all cases where NaNs are introduced ( see section Function definition below for further details ).

), Revised ^ 5 Report on the Algorithmic Language Scheme, Higher-Order and Symbolic Computation, 11 ( 1 ), September, 1998 and ACM SIGPLAN Notices, 33 ( 9 ), October, 1998.

The W ^ X, Exec Shield, and PaX mechanisms described above emulate per-page non-execute support on machines x86 processors lacking the NX bit by setting the length of the code segment, with a performance loss and a reduction in the available address space.

These had an accuracy on the order of 1 part in 10 ^ 10 to better than 1 part in 10 ^ 12 ( depending upon type, e. g., rubidium, cesium, hydrogen ), or a drift of about 1 second in 30 million years.

The first edition of Symbian, Symbian ^ 1, uses S60 5th Edition on top of Symbian OS 9. 4 as its base .</ div >

According to LINPACK benchmark, an ETA10 with a single processor achieved 52 MFLOPS on 100 ^ 2 LINPACK.

* Telecom's mobile customers find out that their privacy and security is not safe on the Telecom network, when a phreaker named ^ god releases an exploit to the media allowing access to almost anyone's voicemail.

* The shift operator on the l < sup > 2 </ sup > space of all sequences ( x < sub > 0 </ sub >, x < sub > 1 </ sub >, x < sub > 2 </ sub >...) of real numbers with < math > x_0 ^ 2 + x_1 ^ 2 + x_2 ^ 2 +

In " Hex " mode, on a less limited calculator, " 10 " " x ^ y " " 10 " "=", would produce 10000000000000000, which is the hexadecimal representation of X ' 10 ' ** X ' 10 '.

^ Reprint of New Methods of Thought and Procedure: Contributions to the Symposium on Methodologies is available at www. swemorph. com / ma. html

A technology in the OpenBSD operating system, known as W ^ X, marks writable pages by default as non-executable on processors that support that.

W ^ X makes use of the NX bit on Alpha, AMD64, HPPA, and SPARC processors.

They can be clearly picked out on Google Earth-at 22 ^ 14 ' 38 " North, 114 ^ 11 ' 26 " East, see " Repulse Bay ".

^ Sara Benetowa ( Sula Benet ), Tracing One Word Through Different Languages.

She also studied Hardanger Fiddle with Ånon Egeland in Norway from 1992 to 1993.

150, and Hundred Hardanger Tunes for Orchestra op.

* Fifty Hardanger Tunes, Op.

* A Hundred Hardanger Tunes, Op.

* A Hundred Hardanger Tunes, Op.

* A Hundred Hardanger Tunes, Op.

* A Hundred Hardanger Tunes, Op.

* Gallagher, David, ' A Hundred Hardanger Tunes, Op.

Example of modern Hardanger embroidery workHardanger embroidery or " Hardangersøm " is a form of embroidery traditionally worked with white thread on white even-weave cloth, using counted thread and drawn thread work techniques.

The traditional style of Hardanger work is very geometrical in form and based on several basic shapes such as squares, rectangles, triangles, diamonds, hearts, zig-zags and crosses.

Hardanger is still used to decorate cushions, table linen and other household items as well as items for display on a wall.

* The History of Hardangersom-more detail on the history of Hardanger work with photographic examples.

It uses techniques that are clearly distinct from reticella and traditional Italian neddlelace on the one hand and Hardanger on the other.

His most famous painting is the national romantic image of a traditional wedding on the Hardanger fjord, which he made together with Hans Gude.

* Variations on a Folk song from Hardanger, for two pianos and orchestra

A number of books on the history of bunads recount the story of how once when on holiday in Hardanger with her Danish husband the British Princess Maud of Wales thought that the Hardanger bunads worn by the women in Hardanger were so beautiful that she had one made for her.

On 18 and 19 September 1990, the Standing Committee on Transport and Communications visited the region and looked at the proposed areas of the Triangle Link, the Hardanger Bridge and the Folgefonna Tunnel.

Prime Minister Gro Harlem Brundtland of the Labour Party stated on 10 October 1995 that the government was in favor of the Triangle Link and opposed to the Hardanger Bridge.

It is worked on Hardanger or linen fabric which has a " count " of 22 to 29 threads per inch.

It showed itself in the art of storytelling, legends, fairy-tales, in a rich decorative style, " rosemaling ", woodcarving, silversmithing and folk-music, both on the Hardanger fiddle and the regular violin.

Guest appearances on the album are made by Sarah Corbisier ( viola ) and Magne Berge ( Hardanger fiddle ).

For example the same reel Rakish Paddy is notated in 2 / 2 time with an alla breve ( cut time ) Image: mensural proportion1. gif time signature in Miles Krassen, O ' Neill's Music of Ireland, New & Revisited, p. 158, ( 1976 ), whereas in 4 / 4 time in Robin Williamson, English, Welsh, Scottish & Irish Fiddle Tunes, p. 69, ( 1976 ), each measure in both cases spanning the same part of the melody.

One of the earliest albums of UK traditional music was Street Songs and Fiddle Tunes of Ireland by Margaret Barry and Michael Gorman, issued in 1958.

* Northumbrian Fiddle Tunes

* Cranford, Paul ( 1997 ), Winston Fitzgerald: A Collection of Fiddle Tunes

* Holland, Jerry ( 1988, several revised editions ), Jerry Holland's Collection of Fiddle Tunes

* Stubbert, Brenda ( 1994 ), Brenda Stubbert's Collection of Fiddle Tunes

He edited a long-playing record drawn from earlier recordings in the Archive, which was published in 1971 as American Fiddle Tunes.

Centrum presents such programs as the Festival of American Fiddle Tunes, Jazz Port Townsend, the Port Townsend Acoustic Blues Festival, and the Port Townsend Writers ' Conference.