Trace (matrix) (5207 bytes)
1: ...onal from the upper left to the lower right) of ''A'', i.e.
3: ...A''_1,1 + ''A''_2,2 + ... + ''A''_''n'',''n''.
4: ...</sub> represents the (''i'',''j'')'th element of A.
5: ...ce''''' arises from the German term ''Spur'' (cognate with the English ''[[spoor]]'').
8: The trace is a [[linear operator|linear map]]. That is,

Trace (1355 bytes)
1: The word '''trace''' has several meanings:
2: ... matrix]]''' ''A'' is the sum of its [[main diagonal]] elements.
3: ...es]] of a [[Hilbert space]]. ''See'' '''[[trace class]]'''.
4: ...ry (mathematics)|field theory]], see '''[[field trace]]'''.
5: ...receiver. It exists and is analyzed on the [[neutral level]].

TRACE (841 bytes)
1: ...photosphere]] and transition region to the [[corona]].
4: ...passbands correspond to [[plasma]] emission temperatures from 4,000 [[Kelvin|K]] to 4,000,000 [[Kelvi...
7: TRACE is a [[SMEX]] or Small Explorer mission.
9: ==External links==
10: *[http://vestige.lmsal.com/TRACE/ official TRACE website]

Without a Trace (1453 bytes)
1: ...lows the investigation into one person's disappearance.
3: ...n [[2002]]. It was created by [[Hank Steinberg]], and produced by [[Jerry Bruckheimer]].
5: ...rsons cases, the person is often found at the end of the episode.
7: ...of most episodes, they show information about a real-life missing person.
8: ...motion for a suicide help line was aired in place of the missing persons report.

Trace metal (808 bytes)
1: ...nt]] cells and tissue. They are a necessary part of good [[nutrition]].
3: ...zinc]], [[copper]], [[chromium]], [[molybdenum]], and [[selenium]].
5: ... uptake of nutrients from the soil in which the plant grows.
7: ...n trace metals as additional sources for trace metals.
9: ...s trace elements, though the latter is a broader category.

Leave No Trace (4842 bytes)
1: ...presence of the practitioners of the ''Leave No Trace'' methodology.
3: ...School|NOLS]] and the [[Appalachian Mountain Club|AMC]].
5: ... occupying a back pocket, instead of a slow-to-decay eyesore.
7: ... only pictures, leave only footprints"'' (a motto of [[ecotourism]]).
9: ...hat anyone can follow to be sure to '''Leave No Trace''' when enjoying the outdoors.

Trace gas (638 bytes)
1: ...[carbon dioxide]], [[methane]], [[nitrous oxide]] and [[ozone]].
4: ==External Links==
6: ...ce_Gases.html A description of atmospheric trace gasses]

Trace Beaulieu (1094 bytes)
1: ...iff as [[TV's Frank]] in the [[Mystery Science Theater 3000]] television series.]]
2: ... remembered for his roles on [[Mystery Science Theater 3000]].
4: ... Bill Corbett took over the voicing and operation of Crow.
6: [[Category:Mystery Science Theater 3000]]

Field trace (1928 bytes)
1: ... all the [[Conjugate element (field theory)|conjugates]]
3: :''g''(&amp;alpha;)
5: ...G'' of ''L'' over ''K''. It is a ''K''-linear map of ''L'' to ''K'', written
9: ...d the theory of the [[different ideal]], in the shape
11: ... &amp;rarr; '''Tr'''_''L''/''K''(&amp;alpha;&amp;beta;).

Natchez Trace (7264 bytes)
1: ...lled with brave explorers, dastardly outlaws and daring settlers.
3: ==Origins of the Natchez Trace==
5: ...panish explorer [[Hernando_de_Soto_(explorer)|Hernando de Soto]].
7: ... Native American nations through which the trail passed.
9: ==Development and Disappearance of the Trace==

Trace class (2766 bytes)
1: ...sub>''k''</sub>}_''k'' of ''H'' the sum of positive terms
2: ...um_{k} \langle (A^*A)^{1/2} \, e_k, e_k \rangle</math>
4: In this case, the sum
5: :<math>\sum_{k} \langle A e_k, e_k \rangle</math>
6: ... called the '''trace''' of ''A'', denoted by Tr(''A'').

Signal trace (469 bytes)
1: ...s because their current carrying requirements are often much less.
3: See also:
4: * [[ground plane]]

Trace Adkins (1178 bytes)
1: ...n [[oil]] rig. He lost a finger in an industrial accident.
3: ... Adkins also pled guilty to a [[drunk driving]] charge during this period.
5: [[Category:1962 births|Adkins, Trace]]
7: [[de:Trace Adkins]]

Stack trace (1739 bytes)
1: ...rame]]s left in memory by the execution of a program.
3: ... [[computer bug|bug]] that generated the abnormal abort occurs.
5: ...] prints a stack trace with the bt (or where) command.
7: ==Example==
8: ...gram will [[segmentation fault|segfault]] (ie., crash) in the function <tt>function_2</tt>:

Trace italienne (1573 bytes)
1: ... traditional fortifications built in the [[middle ages]].
3: ...ngles. The result was the development of "star" shaped fortresses.
5: ...d throughout Europe to help build the new fortifications.
7: ...nd banquettes and counterscarps... that baroque profusion."
9: ...r designs, "most first-class fortresses could be taken in roughly six to eight weeks."

Partial trace (4396 bytes)
1: [[Category:Linear algebra]]
2: [[Category:Functional analysis]]
4: ...[relative state interpretation]] of [[quantum mechanics]].
6: == Details ==
7: ...ely.. The partial trace Tr_''V'' is a mapping

Trace fossil (8886 bytes)
1: ..., and rhizoliths or rhizocretions (fossil remains of roots).
3: ... '''neoichnology,''' the study of modern trace remains.
5: ...r ones. This can cause some confusion in interpretation unless viewed in context.
7: ...udofossil]]s are sometimes confused as being '''trace fossils.'''
9: ...provide us with a record of the activity of an organism during its lifetime.

Selberg trace formula (3917 bytes)
1: ...nerally a [[double coset]] space ''H''\''G''/&amp;Gamma;.
3: ...e generalisation of the [[Poisson summation formula]].
5: ...en as naturally described as those) of [[representation theory]].
7: ... met immediately when &amp;Gamma; is taken to be an [[arithmetic group]].
9: ...lly arithmetic cases) of the [[adele group]] approach.

Natchez Trace Trail (680 bytes)
1: ...through the states of [[Tennessee]], [[Alabama]], and [[Mississippi]].
3: ...lorers, "Kaintuck" boatmen, post riders, and military men.
7: == External link ==
8: * [http://www.nps.gov/natt/ National Park Service website]
10: [[Category:Hiking trails in North America]]

Charley's Trace (345 bytes)
1: ...s at the intersection of Watkins [[Plantation]] Road.
3: ...]], and a newer marker was dedicated on the 21st May [[1955]].

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