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...

In linear algebra, the trace of a square matrix A, denoted tr(A), is defined to be the sum of elements on the main diagonal (from the upper left to the...

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)...

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...

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

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

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

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...

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...

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

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...

Arthur–Selberg trace formula is a generalization of the Selberg trace formula from the group SL2 to arbitrary reductive groups over global fields, developed...

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...

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...

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...

consisting of all the p-th roots of unity other than 1. For a field K contained in it, the field trace can be used to construct such a basis in K also (see the...

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...

(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...

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...

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...

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...

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

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...

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...

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...

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

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...

The dimension of a vector space may alternatively be characterized as the trace of the identity operator. For instance, tr ⁡   id R 2 = tr ⁡ ( 1 0 0 1 )...

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...

depth of field, motion blur, caustics, ambient occlusion and dispersion phenomena (such as chromatic aberration). It can also be used to trace the path...