# 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 . 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

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 ?
The voltage drop across a trace or via is a relatively simple calculation using Ohm's Law, V = I*R.
1970, Trace fossils: Seel House Press, Liverpool, 547 p.
Third, layout engineers also need to ensure trace lengths between lanes match to within 15 mils.
But propagation times for microstrip traces are more complicated, because the electromagnetic field is divided between the dielectric below and the air above.
Dinosaur footprints are some of the most common trace fossils.
The blue and yellow traces illustrate inconsistent screw starting positions and variations in cushion length from shot to shot.
Also, approximately once a month, the local coordinator receives a printout of the month's previous recoveries and their trace results.
Such Derridean concepts as the differance, the trace, and the breach are especially useful in understanding the characters in Jazz who, in their displacement, tend to overemphasize one or the other terms of various binary oppositions.
In an execution-based model, program executables take up much less space than dynamic traces and do not require an existing system for trace generation.
The additional capability provided by the automatic trace limits testing function allows recovery of this information.
Finally, at foundry D, well 2A had a trace of chloroform in one of four samples and a trace of 1, 1, 1-trichloroethane in three of the four.
As traces heat to relatively high temperatures, neither of these assumptions may continue to be true.

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