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 ?
In Costa Rica, Panamerican Coffee Trading (San Jose) works with Coopetarrazu (San Marcos) to introduce producers to buyers, transparently offering direct trade that is traceable back to a community and initiates with in-country experts.
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Based on this evidence, the court held that these funds were not directly traceable to the purchases.
In examining the borrower subsidiary's purpose, the court looked through the separate entities and held that a portion of the subsidiary's debt was directly traceable to exempt obligations purchased by the parent.
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It is an outrage that these forms are totally traceable to each voter.
The tracking system will soon be extended to cover Pan European Forest Certification Council (PEFC), and other certified, traceable and sustainable wood materials.
An integrating sphere and portable spectroradiometer system that can perform NIST traceable measurements of LEDs and other small lamps has been introduced by International Light, Inc.
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.
In addition, we introduce and implement the traceable use abstraction, a new primitive providing "inventory control" over values introduced by processors in the course of an algorithm execution.