trace

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trace

1
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

trace

2
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

 

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

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

trace
The line appearing on the face of a cathoderay tube when the visible dot repeatedly sweeps across the face of the tube as a result of deflections of the electrons. The path of the dot from the end of one sweep to the start of the next sweep is called a retrace. If more than one trace is shown on the same scope, the traces may be called an A-trace, B-trace, etc.
References in periodicals archive ?
DEMANDNFU President Peter Kendall says consumers want UK-produced, traceable food
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Based on this evidence, the court held that these funds were not directly traceable to the purchases.
The Microtrace Microtaggant technology is the most robust, traceable, anti-counterfeit technology available.
Under these rules, dealers must allocate their nondirectly traceable interest expense to exempt obligations held in the general course of business in addition to allocating directly traceable interest expense under the rules described above.
beef purchases traceable from farm to table by the end of this year, a company official told Reuters.
It is an outrage that these forms are totally traceable to each voter.
With the advanced technology and operation, the permeability meter is quipped to perform AFS standard permeability tests, and calibration is traceable to the standards set by the National Institute of Science and Technology.
Van Larebeke and colleagues sorted the food samples into three categories: those traceable to farms that used contaminated feed, those traceable to farms that did not use contaminated feed, and those for which a link with the contamination incident could not be clearly established.
Of the 54 cluster events at which raspberries were or may have been served, well-documented traceback data as to the source were uncovered for 29; of these, 21 were definitely traceable to raspberries imported from Guatemala, and an additional eight may have originated there.
nonvolume costs that are traceable to individual product lines.
a global leader in signal transmission solutions for mission-critical applications, releases traceable Bonded-Pair patch cords to meet the ever growing need to quickly and easily identify and trace network connections in today's high-density and mission-critical infrastructure environments.