# 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 ?
Inventing or inflating available narratives then, defeats the purpose of a transparent model that is as open about what is traceable as what is not.
Ask your retailers where the food they are selling comes from and look out for the Red Tractor logo carrying the Union flag to know the food is produced to good standards and traceable from farm to pack.
We are delighted to be the first company to be certified and able to offer segregated sustainable and traceable palm oil and bakery shortenings to the food manufacturing and catering sectors," says Gary Lewis, commercial manager at Nortech Foods.
The trading statement said: "We are confident that the refinery will attract similar end users who value the attributes of refined traceable palm oil that is produced sustainably and certified accordingly.
1 (The Traceability Conjecture (TC)) For k [greater than or equal to] 2, every k-traceable oriented graph of order at least 2k - 1 is traceable.
The 7-Day Traceable [R] Controller will turn equipment on and off in intervals as short as one minute or as long as 168 hours.
Each kit contains the standard operating procedures, documentation, materials and bespoke software required for data analyses to produce traceable results against user defined pass/fail criteria.
Nevertheless, the need to place traceable marks on uncured extruded rubber continued to grow.
Since the government failed to prove the debt was incurred to purchase the stock as required by the first test, it argued that the borrowed funds were directly traceable to the stock purchase as required by the second.
The new Traceable One-Shot conductivity standards are single-use standards used to calibrate all conductivity meters and probes for maximum accuracy.
XSYS Print Solutions and Microtrace LLC announced a partnership to deliver a traceable, anti-counterfeit ink technology to the narrow web tag and label industry.

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