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Field trace information


In mathematics, the field trace is a particular function defined with respect to a finite field extension L/K, which is a K-linear map from L onto K.

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Field trace

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the field trace is a particular function defined with respect to a finite field extension L/K, which is a K-linear map from L onto K. Let K be a field and...

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Trace

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Look up Trace, trace, traces, or tracing in Wiktionary, the free dictionary. Trace may refer to: Trace (Son Volt album), 1995 Trace (Died Pretty album)...

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Trace field of a representation

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In mathematics, the trace field of a linear group is the field generated by the traces of its elements. It is mostly studied for Kleinian and Fuchsian...

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Trace Adkins

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singer Trace Adkins in 1962 (age 59)... "Trace Adkins". Archived from the original on September 11, 2013. Retrieved September 11, 2013. "Trace Adkins'...

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TRACE

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Transition Region and Coronal Explorer (TRACE, or Explorer 73, SMEX-4) was a NASA heliophysics and solar observatory designed to investigate the connections...

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Requirements traceability

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iteration in any of these phases)". In the requirements engineering field, traceability is about understanding how high-level requirements – objectives,...

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Dual basis in a field extension

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context of a finite extension L/K, by using the field trace. This requires the property that the field trace TrL/K provides a non-degenerate quadratic form...

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Partial trace

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analysis, the partial trace is a generalization of the trace. Whereas the trace is a scalar valued function on operators, the partial trace is an operator-valued...

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Trace Africa

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Africa. Trace Africa has traditionally found much of its success through music broadcasting; however, it places to expand its reach into the field of sports...

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Trace heating

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cut to length in the field became available. Self-limiting thermoplastic cables were marketed in 1971. Control systems for trace heating systems developed...

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Without a Trace

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Without a Trace is an American police procedural drama television series created by Hank Steinberg that aired on CBS from September 26, 2002, to May 19...

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Field norm

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the absolute value of the norm to Q of α, for α an algebraic integer. Field trace Ideal norm Norm form Rotman 2002, p. 940 Rotman 2002, p. 943 Lidl & Niederreiter...

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Einstein field equations

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the field equations are also referred to as the vacuum field equations. By setting Tμν = 0 in the trace-reversed field equations, the vacuum field equations...

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List of mathematical abbreviations

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(Also written as tan, tg.) Thm – theorem. Tor – Tor functor. Tr – field trace. tr – trace of a matrix or linear transformation. (Also written as Sp.) undef...

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Grothendieck trace formula

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geometry, the Grothendieck trace formula expresses the number of points of a variety over a finite field in terms of the trace of the Frobenius endomorphism...

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Palestinian traditional costumes

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significant role in the lives of the region's women. Though experts in the field trace the origins of Palestinian costumes to ancient times, there are no surviving...

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Different ideal

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duality in the ring of integers of an algebraic number field K, with respect to the field trace. It then encodes the ramification data for prime ideals...

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Trace operator

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In mathematics, the trace operator extends the notion of the restriction of a function to the boundary of its domain to "generalized" functions in a Sobolev...

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Track and field

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Track and field is a sport that includes athletic contests based on running, jumping, and throwing skills. The name is derived from where the sport takes...

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Traces of Death

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Traces of Death is a 1993 Z movie mondo shockumentary that consists of various scenes of stock footage depicting death and real scenes of violence. Unlike...

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Matrix norm

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nature of the trace ( trace ⁡ ( X Y Z ) = trace ⁡ ( Y Z X ) = trace ⁡ ( Z X Y ) {\displaystyle \operatorname {trace} (XYZ)=\operatorname {trace} (YZX)=\operatorname...

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Kyshtym disaster

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contamination was termed the "East Ural Radioactive Trace" (EURT). About 270,000 people inhabited this area. Fields, pastures, reservoirs, and forests in the area...

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Trace evidence

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Trace evidence occurs when objects make contact, and material is transferred. This type of evidence is usually not visible to the naked eye and requires...

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Tensor contraction

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Tensor contraction can be seen as a generalization of the trace. Let V be a vector space over a field k. The core of the contraction operation, and the simplest...

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Chelsea Field

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Chelsea Field is an American actress. Field started her career as a Solid Gold Dancer, and one of her first television roles was on Airwolf. She also...

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Trace gas

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Trace gases are gases that are present in small amounts within an environment such as a planet's atmosphere. Trace gases in Earth's atmosphere are gases...

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