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Trace
(redirected from Transition Region and Coronal Explorer)

   Also found in: Dictionary/thesaurus, Medical, Legal, Acronyms, Wikipedia 0.01 sec.
trace
See autotrace, wire trace and Traceroute.
trace1
1. any line drawn by a recording instrument or a record consisting of a number of such lines
2. the postulated alteration in the cells of the nervous system that occurs as the result of any experience or learning
3. Geometry the intersection of a surface with a coordinate plane
4. Maths the sum of the diagonal entries of a square matrix
5. Meteorol an amount of precipitation that is too small to be measured

trace2
1. either of the two side straps that connect a horse's harness to the swingletree
2. Angling a length of nylon or, formerly, gut attaching a hook or fly to a line

trace [trās]
(computer science)
To provide a record of every step, or selected steps, executed by a computer program, and by extension, the record produced by this operation.
(electronics)
The visible path of a moving spot on the screen of a cathode-ray tube. Also known as line.
(engineering)
The record made by a recording device, such as a seismometer or electrocardiograph.
(geology)
The intersection of two geological surfaces.
(mathematics)
The trace of a matrix is the sum of the entries along its principal diagonal. Designated Tr. Also known as spur.
The trace of a linear transformation on a finite-dimensional vector space is the trace (in the sense of the first definition) of the matrix associated with it.
One of the curves along which a given surface cuts a coordinate plane.
A point at which a given straight line in space passes through a coordinate plane. Also known as piercing point.
The projection of a given straight line in space on a coordinate plane.
(meteorology)
A precipitation of less than 0.005 inch (0.127 millimeter).
(science and technology)
An extremely small but detectable quantity of a substance.

Trace 

The trace of a matrix is the sum of the matrix’s diagonal elements. This concept is defined only for a square matrix A Trace. The trace of A is denoted by Tr A or Sp A. The latter symbol is derived from the German word Spur, which is sometimes used to refer to a trace. It follows that

Tr A = a11 + a22 + … + ann

If the characteristic equation of A has the roots (called eigenvalues or characteristic roots) λ1, λ2,…,λn, then

Tr A = λ1 + λ2 + …. + λn



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They include TRACE - the Transition Region and Coronal Explorer solar observatory - which, since 1998, really has told us more about our local star than we had learned since Copernicus wrote in 1543 that the sun, not the Earth, lay at the center of the solar system.
The Center uses the Pillar Axiom as a NAS device, consolidating information onto one system from the successful European Space Agency's Solar and Heliospheric Observatory (SOHO) launched in 1995 and Transition Region and Coronal Explorer (TRACE) launched in 1998.
It encompasses images from the NASA Transition Region and Coronal Explorer (TRACE), the Extreme Ultraviolet Imaging Telescope (EIT), the Large Area Solar Coronal Observatory (LASCO), and the Michelson Doppler Imager (MDI) telescopes on the ESA/NASA Solar and Heliospheric Observatory (SOHO).
 
 
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