Search references for TRACE OPERATOR. Phrases containing TRACE OPERATOR
See searches and references containing TRACE OPERATOR!TRACE OPERATOR
Boundary condition for generalized functions
In mathematical analysis, the trace operator extends the notion of the restriction of a function to the boundary of its domain to "generalized" functions
Trace_operator
Sum of elements on the main diagonal
size. Thus, similar matrices have the same trace. As a consequence, one can define the trace of a linear operator mapping a finite-dimensional vector space
Trace_(linear_algebra)
Compact operator for which a finite trace can be defined
specifically functional analysis, a trace-class operator is a linear operator for which a trace may be defined, such that the trace is a finite number independent
Trace_class
Function over linear operators
partial trace is a generalization of the trace. Whereas the trace is a scalar-valued function on operators, the partial trace is an operator-valued function
Partial_trace
Concept in Hlibert spaces mathematics
matrices and linear operators on Hilbert spaces. This article covers some important operator inequalities connected with traces of matrices. Let H n
Trace_inequality
Mathematical concept
In mathematics, a weak trace class operator is a compact operator on a separable Hilbert space H with singular values the same order as the harmonic sequence
Weak_trace-class_operator
Topics referred to by the same term
Look up Trace, trace, traces, or tracing in Wiktionary, the free dictionary. Trace may refer to: Trace (Son Volt album), 1995 Trace (Died Pretty album)
Trace
Quantum algorithm in computer science
Jones polynomial. This is done by means of the Markov trace. The "Markov trace" is a trace operator defined on the Temperley–Lieb algebra T L n ( d ) {\displaystyle
Aharonov–Jones–Landau algorithm
Aharonov–Jones–Landau_algorithm
Topic in mathematics
it may be written as an integral operator of this form. The product of two Hilbert–Schmidt operators has finite trace-class norm; therefore, if A and B
Hilbert–Schmidt_operator
Mathematical theorem
Arthur–Selberg trace formula. When Γ is the fundamental group of a Riemann surface, the Selberg trace formula describes the spectrum of differential operators such
Selberg_trace_formula
Property of a thermodynamic system
{\rho }}} is a density matrix, t r {\displaystyle \mathrm {tr} } is a trace operator and ln {\displaystyle \ln } is a matrix logarithm. The density matrix
Entropy
dimension. In Hilbert spaces such operators are usually called trace class operators and one can define such things as the trace. In Banach spaces this is no
Nuclear operators between Banach spaces
Nuclear_operators_between_Banach_spaces
Vector in statistics
(\varepsilon ^{T}\Lambda \varepsilon )} . Next, by the cyclic property of the trace operator, E [ tr ( ε T Λ ε ) ] = E [ tr ( Λ ε ε T ) ] . {\displaystyle
Quadratic_form_(statistics)
p}(\partial M,N)} and that when N = R {\displaystyle N=\mathbb {R} } , the trace operator is onto. The proof of the surjectivity being based on an averaging argument
Sobolev_mapping
Norm on a vector space of matrices
which is the operator norm induced by the vector 2-norm (see above). Finally, p = 1 yields the nuclear norm (also known as the trace norm, or the Ky
Matrix_norm
Extension of Lidskii's theorem
Grothendieck trace theorem is an extension of Lidskii's theorem about the trace and the determinant of a certain class of nuclear operators on Banach spaces
Grothendieck_trace_theorem
Noncommutative geometric structure
singular trace is a trace on a space of linear operators of a separable Hilbert space that vanishes on operators of finite rank. Singular traces are a feature
Singular_trace
Class of transformations that quantum systems and processes can undergo
operator is a non-negative operator on a Hilbert space with unit trace. Mathematically, a quantum operation is a linear map Φ between spaces of trace
Quantum_operation
Generalized measurement in quantum mechanics
(\rho F_{i})} , where tr {\displaystyle \operatorname {tr} } is the trace operator. When the quantum state being measured is a pure state | ψ ⟩ {\displaystyle
POVM
Type of continuous linear operator
mathematics, a compact operator is a linear operator that behaves, in several important respects, like a finite-dimensional operator such as a matrix. In
Compact_operator
Linear operator in mathematics
mathematics, the composition operator C ϕ {\displaystyle C_{\phi }} with symbol ϕ {\displaystyle \phi } is a linear operator defined by the rule C ϕ ( f
Composition_operator
Algebraic trace
trace, introduced by Jacques Dixmier (1966), is a non-normal trace on a space of linear operators on a Hilbert space larger than the space of trace class
Dixmier_trace
Calculation rule in quantum mechanics
(\rho F_{i}),} where tr {\displaystyle \operatorname {tr} } is the trace operator. This is the POVM version of the Born rule. When the quantum state being
Born_rule
Number of vectors in any basis of the vector space
of a vector space may alternatively be characterized as the trace of the identity operator. For instance, tr id R 2 = tr ( 1 0 0 1 ) = 1 + 1 = 2
Dimension_(vector_space)
Operator generalizing the Laplacian in differential geometry
In differential geometry, the Laplace–Beltrami operator is a generalization of the Laplace operator to functions defined on submanifolds in Euclidean space
Laplace–Beltrami_operator
Vector space of functions in mathematics
theorem resolves the problem: Trace theorem—Assume Ω is bounded with Lipschitz boundary. Then there exists a bounded linear operator T : W 1 , p ( Ω ) → L p
Sobolev_space
different versions of the trace formula. The first version was the unrefined trace formula, whose terms depend on truncation operators and have the disadvantage
Arthur–Selberg_trace_formula
In mathematics, a linear operator acting on inner product space
positive trace-class operators ρ {\displaystyle \rho } on H C {\displaystyle H_{\mathbb {C} }} for which Trace ρ = 1. {\displaystyle \mathop {\text{Trace}}
Positive_operator
Complex-valued function
operator. It is defined for bounded operators on a Hilbert space which differ from the identity operator by a trace-class operator (i.e. an operator whose
Fredholm_determinant
Statistical term
{I} _{p})=p} , where Tr {\displaystyle \operatorname {Tr} } is the trace operator. Large leverage h i i {\displaystyle {h_{ii}}} corresponds to an x i
Leverage_(statistics)
Mathematical tool in quantum physics
a positive semi-definite operator, see below. A density operator is a positive semi-definite, self-adjoint operator of trace one acting on the Hilbert
Density_matrix
Hilbert space of Hilbert–Schmidt operators. Moreover, the 1st Schatten class is the space of trace class operators. (Conway 2000, p. 93) Schatten, Robert
Schatten_class_operator
*-algebra of bounded operators on a Hilbert space
bounded operators on a Hilbert space H is the Banach space of all trace class operators with the trace norm ||A||= Tr(|A|). The Banach space of trace class
Von_Neumann_algebra
}}\gamma ({\vec {u}})=0\}} , where γ {\displaystyle \gamma } is the trace operator. Furthermore, A − 1 : H → V {\displaystyle A^{-1}:H\rightarrow V} is
Stokes_operator
Identity in Itô calculus analogous to the chain rule
f w.r.t. X, HX f is the Hessian matrix of f w.r.t. X, and Tr is the trace operator. We may also define functions on discontinuous stochastic processes
Itô's_lemma
In mathematics, invariant of square matrices
for particular kinds of operators. The Fredholm determinant defines the determinant for operators known as trace class operators by an appropriate generalization
Determinant
Capability to trace something
force in 2002, making traceability compulsory for food and feed operators and requiring those businesses to implement traceability systems. The EU introduced
Traceability
Differential operator in mathematics
In mathematics, the Laplace operator or Laplacian is a differential operator given by the divergence of the gradient of a scalar function on Euclidean
Laplace_operator
Mathematical conjecture about the Riemann zeta function
of number theory as a trace formula on noncommutative geometry of Adele classes. A possible connection of Hilbert–Pólya operator with quantum mechanics
Hilbert–Pólya_conjecture
Country in northern Europe
reforms. In 1854, women won the right to inherit property. In 1863, the last trace of keeping unmarried women in the status of minors was removed. Furthermore
Norway
Fourier transform of the probability density function
} where tr ( ⋅ ) {\textstyle \operatorname {tr} (\cdot )} is the trace operator, If X is a complex random variable, then for t ∈ C φ X ( t ) = E [
Characteristic function (probability theory)
Characteristic_function_(probability_theory)
Country in Southeast Europe
since at least the Upper Palaeolithic, with permanent human settlement traced to the Neolithic cultures of Butmir, Kakanj, and Vučedol. After the arrival
Bosnia_and_Herzegovina
Search engine from Google
Search Monopoly". Tech Policy Press. Retrieved April 24, 2025. Dominguez, Trace (September 2, 2015). "How Much of the Internet Is Hidden?". Seeker. Group
Google_Search
European wide-body airliner
service with 12 operators as of May 2025[update], with Emirates being by far the largest operator with 116 A380s in its fleet. Other top operators are British
Airbus_A380
City in Florida, United States
parent company of Olive Garden and LongHorn Steakhouse, and the largest operator of casual dining restaurants in the world by revenue. In September 2009
Orlando,_Florida
Country in Central America
monolithic sculptures at the Barriles (Chiriqui) site are also important traces of these ancient isthmian cultures. Before Europeans arrived, Panama was
Panama
Matrix defined using smaller matrices called blocks
\left(A^{\mathcal {B}}\right)_{ij}=B_{ji}} . As with the conventional trace operator, the block transpose is a linear mapping such that ( A + C ) B = A B
Block_matrix
Symbol representing the word "and" (&)
people began calling the new shape "Ampère's and". The ampersand can be traced back to the 1st century CE and the old Roman cursive, in which the letters
Ampersand
Identifies the commutant of a specific von Neumann algebra
=1\otimes \delta _{1}} is a cyclic-separating trace vector. Moreover the modular conjugation operator J and commutant M ' can be explicitly identified
Commutation theorem for traces
Commutation_theorem_for_traces
Legislative capital of South Africa
equipped with infrared cameras, and can detect body heat in cold water, trace residual heat from discharged firearms, and capture the thermal signatures
Cape_Town
Island in the Mediterranean, region of Italy
pistachios, and fresh vegetables. Arab influences on Sicilian cuisine trace to the Arab domination of Sicily in the 10th and early 11th centuries, and
Sicily
factor with the canonical normalized trace τ {\displaystyle \tau } and let X {\displaystyle X} be an invertible operator in M {\displaystyle {\mathcal {M}}}
Fuglede−Kadison_determinant
Interaction of a quantum system with a classical observer
vectors comprising the basis. A density operator is a positive-semidefinite operator on the Hilbert space whose trace is equal to 1. For each measurement
Measurement in quantum mechanics
Measurement_in_quantum_mechanics
Weak topology on function spaces
trace class operators C1(H), and it generates the w*-topology on B(H), called the weak-star operator topology or σ-weak topology. The weak-operator and
Weak_operator_topology
British statesman and admiral (1900–1979)
in the face of setback or disaster rendered him the most formidable of operators. He was infinitely resourceful, quick in his reactions, always ready to
Lord_Mountbatten
1999 film by the Wachowskis
Matrix, starring in their 1996 film Bound. Marcus Chong as Tank: The "operator" of the Nebuchadnezzar and Dozer's brother; they are both "natural" (as
The_Matrix
President of the Philippines since 2022
of its territory". In 2024, Marcos banned Philippine offshore gaming operators that had proliferated under the previous administration, while Vice President
Bongbong_Marcos
differential operators". Mathematica Scandinavica. 2 (2): 267–285. doi:10.7146/math.scand.a-10414. JSTOR 24489040. Fichera, Gaetano (1965). "The trace operator. Sobolev
Ehrling's_lemma
Mathematical entity to describe the probability of each possible measurement on a system
a_{i}} are eigenkets and eigenvalues, respectively, for the operator A, and "tr" denotes trace. Two types of averaging are occurring, one (over i {\displaystyle
Quantum_state
Vector differential operator
Del, or nabla, is an operator used in mathematics (particularly in vector calculus) as a vector differential operator, usually represented by ∇ (the nabla
Del
British spy thriller TV series (2022–present)
(PDF). British Society of Cinematographers. Retrieved 14 June 2025. "The Operators Award" (PDF). British Society of Cinematographers. Retrieved 14 June 2025
Slow_Horses
Generators of the Clifford algebra for relativistic quantum mechanics
Proving the above involves the use of three main properties of the trace operator: tr ( A + B ) = tr ( A ) + tr ( B ) {\displaystyle \operatorname
Gamma_matrices
Bounded linear operator
… {\displaystyle k=0,1,2,\dots } . The operator norm of V is 2 / π {\displaystyle 2/\pi } . V is not trace class. V has no eigenvalues and therefore
Volterra_operator
Linear operator in functional analysis
{\displaystyle T} is then a compact operator, and one has the canonical form for compact operators. Compact operators are trace class only if the series ∑ i
Finite-rank_operator
English actor and singer (1922–2015)
Lee joined Beecham's, at first as an office clerk, then as a switchboard operator. When Beecham's moved out of London, he joined the Home Guard. In the winter
Christopher_Lee
American filmmaker, actor, comedian and songwriter (born 1926)
Replacement Training Center at Fort Sill, Oklahoma, for basic and radio operator training. Brooks was then sent back to Fort Dix for overseas assignment
Mel_Brooks
Approach used in computer vision systems
( μ ) − κ trace 2 ( μ ) . {\displaystyle H=\det(\mu )-\kappa \,\operatorname {trace} ^{2}(\mu ).} The determinant of the Hessian operator has been extended
Corner_detection
Elliptic differential operators in geometry mathematics
connection Laplacian is often called the Laplace–Beltrami operator. It is defined as the trace of the second covariant derivative: Δ T = tr ∇ 2 T , {\displaystyle
Laplace operators in differential geometry
Laplace_operators_in_differential_geometry
operators on a Hilbert space H. B(H) admits a predual B*(H), the trace class operators on H. The ultraweak topology is the weak-* topology so induced;
Ultraweak_topology
In operator theory, a Toeplitz operator is the compression of a multiplication operator on the circle to the Hardy space. Let S 1 {\displaystyle S^{1}}
Toeplitz_operator
Invariant in mathematics
a product of functions with different variables x1,..., xn, and the trace operator Tr means setting all the vectors xk equal. The zeroth transvectant is
Transvectant
Method for constructing existence proofs and calculating solutions in variational calculus
\mathbb {R} ^{m})} of functions whose trace is some fixed function g {\displaystyle g} in the image of the trace operator. This restriction allows finding
Direct method in the calculus of variations
Direct_method_in_the_calculus_of_variations
Concept in quantum chemistry
the involved orbitals, and E m n {\displaystyle E_{mn}} operators are the spin-traced operators a m α † a n α + a m β † a n β {\displaystyle a_{m\alpha
Dyall_Hamiltonian
City in Missouri, United States
Mountains. The community was named after Reuben Branson, postmaster and operator of a general store in the area in the 1880s. The population was 12,638
Branson,_Missouri
Hungarian and American mathematician and physicist (1903–1957)
elucidation of spectral theory for normal operators, the first abstract presentation of the trace of a positive operator, a generalisation of Riesz's presentation
John_von_Neumann
New York-based organized crime group
established a trade association of lunch wagon operators and taken control of the industry. Any operator who refused to join the Association and pay its
Bonanno_crime_family
1977 aviation accident in Mississippi, USA
Lynyrd Skynyrd's production company specified that Lynyrd Skynyrd was the operator and therefore was responsible for regulatory compliance (including managing
Lynyrd_Skynyrd_plane_crash
NASA satellite of the Explorer program
Transition Region and Coronal Explorer (TRACE, or Explorer 73, SMEX-4) was a NASA heliophysics and solar observatory designed to investigate the connections
TRACE
where Tr ( ⋅ ) {\displaystyle \operatorname {Tr} (\cdot )} is the trace operator and G = { ( Δ , x ) : f i ( Δ , x ) ≤ 0 , 0 ≤ i ≤ k , Δ = x x T } {\displaystyle
Chebyshev_center
American actor and comedian (born 1955)
Catholic." Researcher Henry Louis Gates Jr. found that all of Goldberg's traceable ancestors were black, that she had no known Jewish ancestry, and that
Whoopi_Goldberg
French rebel groups that fought Nazi Germany in World War II
radio operator, so radio operators in the Resistance were advised not to broadcast from the same location for long. To maintain secrecy, radio operators encrypted
French_Resistance
Quantum-mechanical simulation framework
constant integration can then be carried out analytically. where the trace operator Tr ≡ ∬ d r d r ′ {\textstyle \operatorname {Tr} \equiv \iint drdr'}
Adiabatic connection fluctuation dissipation theorem
Adiabatic_connection_fluctuation_dissipation_theorem
1989 aviation accident in the North Sea
accident flight near the flight path, as investigators had found small traces of high explosives on parts recovered from the sea bed. However, investigators
Partnair_Flight_394
President of the United States from 1929 to 1933
"undemocratic racist who saw blacks as a species of 'sub-men'". Some historians trace the disaffection of African-Americans with the Republican party to his time
Herbert_Hoover
Programming language feature
casting for why not Number trace(getQualifiedClassName(new Sprite())); // "flash.display.Sprite" Alternatively, the operator is can be used to determine
Type_introspection
2011–2013 darknet market
payment services such as PayPal and Western Union allowed law enforcement to trace payments and it was subsequently shut down by the FBI in 2012. Other sites
Silk_Road_(marketplace)
Evil supernatural being
devils: minions of the Devil. In many traditions, demons are independent operators, with different demons causing different types of evils (destructive natural
Demon
Type of state in thermal systems
problems like phase transitions, spontaneous symmetry breaking, operators that are not trace class, divergent partition functions, etc.. The complex functions
KMS_state
National airline of Australia
2024. Retrieved 2 November 2024. "Aircraft register search: Registered Operator Qantas Airways". casa.gov.au. Civil Aviation Safety Authority. Archived
Qantas
American actor (born 1967)
Richard 2001 NYPD Blue Sidney Thompson Philly Anthony 2003 Without a Trace Tom Lewis Jr. Episode: "Kam Li" A.U.S.A. Announcer Episode: "Sullivan
Phil_LaMarr
{\displaystyle R(\lambda )^{-1}} and using the cyclic property of the trace operator that the following corollary holds. Corollary: For an integrable vertex
Vertex_model
American cybercriminal founder of Silk Road (born 1984)
Silk Road server in Iceland. The identity of "Dread Pirate Roberts" was traced to Ulbricht by Gary Alford, an Internal Revenue Service investigator working
Ross_Ulbricht
Greek island in the Ionian Sea
Airlines (A3 402, 404, and 406). Seaplanes, Air Sea Lines, a Greek seaplane operator, offers scheduled flights from Corfu to Paxoi, Lefkada, Ithaki, Kefalonia
Corfu
German polymath (1646–1716)
from the manuscripts. General Leibniz rule Leibniz Association Leibniz operator List of German inventors and discoverers List of pioneers in computer science
Gottfried_Wilhelm_Leibniz
American twin-engined fighter of WWII
the pilot's canopy for the radar operator. The headroom in the rear cockpit was limited, requiring radar operators who were preferably short in stature
Lockheed_P-38_Lightning
Catholic lay religious order
order is considered a sovereign entity under international law. The Order traces its institutional continuity with the Knights Hospitaller, a chivalric order
Sovereign Military Order of Malta
Sovereign_Military_Order_of_Malta
union-intersection principle Below, t r {\displaystyle \mathrm {tr} } indicates the trace operator. (as cited by ) T 2 ∼ ν p ν − p + 1 F p , ν − p + 1 , {\displaystyle
Multivariate Behrens–Fisher problem
Multivariate_Behrens–Fisher_problem
{\boldsymbol {E}}^{q}} where tr {\displaystyle \operatorname {tr} } is the trace operator, and q ∈ { 1 , 2 , 3 , … } {\displaystyle q\in \left\{1,2,3,\dots \right\}}
Acoustoelastic_effect
normal trace τ and the standard Gelfand–Naimark–Segal action of M on H = L2(M, τ), Edward Nelson proved that the measurable affiliated operators do form
Affiliated_operator
9/11 hijacked passenger flight
Retrieved February 8, 2015. Yardley, Jim; Thomas, Jo (June 19, 2002). "Traces of Terror: The F.B.I.; For Agent in Phoenix, the Cause of Many Frustrations
American_Airlines_Flight_77
TRACE OPERATOR
TRACE OPERATOR
Female
English
Feminine variant spelling of English unisex Tracy, TRACI means "place of Thracius."
Girl/Female
American, Arabic, Australian, British, Chinese, Christian, Danish, English, French, German, Gujarati, Indian, Irish, Jamaican, Latin, Muslim, Portuguese, Swedish
Mercy; God's Favor; Grace; Grace of God; Kindness; Thanks; Love; Favour; Blessing; Charm; Good will
Boy/Male
Anglo Saxon American Latin Greek English French
Brave.
Girl/Female
Greek American French
Reaper; from Therasia.
Girl/Female
Latin American English Irish
Grace.
Girl/Female
Greek American
Reap; from Therasia.
Girl/Female
English
from Thracia.
Boy/Male
Anglo Saxon American Greek
Brave.
Surname or Lastname
English (Kent)
English (Kent) : perhaps a variant of Treece.Altered spelling of German Treis, a topographic name for someone who lived by or owned an uncultivated piece of land used as pasture, from Middle Low German drīsch ‘fallow land’, or a habitational name from a place named with this word (in Hessian dialect treis), in Hesse or on the Mosel river. Alternatively, in some instances it may be from a short form of the personal name Andreas (see Andrew).
Girl/Female
English American
from Thracia.
Boy/Male
Anglo Saxon American English French
Brave.
Surname or Lastname
English
English : nickname from Middle English, Old French grace ‘charm’, ‘pleasantness’ (Latin gratia).English : from the female personal name Grace, which was popular in the Middle Ages. This seems in the first instance to have been from a Germanic element grīs ‘gray’ (see Grice 1), but was soon associated by folk etymology with the Latin word meaning ‘charm’.
Female
English
Feminine variant spelling of English unisex Tracy, TRACIE means "place of Thracius."
Male
English
English surname transferred to unisex forename use, from a Norman baronial name TRACY means "place of Thracius."
Male
English
Variant spelling of English unisex Tracy, TRACEY means "place of Thracius."
Boy/Male
American, Anglo, Australian, British, Chinese, English, French
Fighter; Brave
Surname or Lastname
English
English : probably from Middle English, Old French brace ‘arm’, also denoting a piece of armor covering the arm. In most cases it is probably a metonymic occupational name for a maker or seller of armor, specifically armor designed to protect the upper arms, but it could also have been a nickname for someone with strong arms (compare Armstrong) or a deformed or otherwise noticeable arm.
Male
English
Short form of English unisex Tracy, TRACE means "place of Thracius."
Female
English
Feminine variant spelling of English unisex Tracy, TRACEE means "place of Thracius."
Surname or Lastname
English
English : perhaps a variant of Treece.
TRACE OPERATOR
TRACE OPERATOR
Boy/Male
Muslim
The reckoner
Boy/Male
Tamil
To merge
Male
French
Variant spelling of French Adrien, ANDRION means "from Hadria." This form of the name can be found in An Index to the Given Names in the 1292 Census of Paris, by Colm Dubh.Â
Female
Babylonian
, the sister wife of Assoros.
Boy/Male
Scottish
From the narrow glen.
Boy/Male
Tamil
Yogadeva | யோகதேவா
Lord of Yoga
Boy/Male
Scottish
Follower of Saint Columba.
Girl/Female
Hindu, Indian, Marathi, Telugu
Rarest of the Rare; Extremely Beautiful
Girl/Female
Hindu
Boy/Male
Gujarati, Hindu, Indian, Kannada, Punjabi, Sikh, Sindhi
Only
TRACE OPERATOR
TRACE OPERATOR
TRACE OPERATOR
TRACE OPERATOR
TRACE OPERATOR
n.
A tract or area, as of land.
v. t.
To supply with heavenly grace.
v. t.
Hence, to follow the trace or track of.
n.
Course; way; as, the track of a comet.
v. t.
To trace out; to track; also, to draw out; to protact.
v.
Continuity or extension of anything; as, the tract of speech.
v. t.
To add grace notes, cadenzas, etc., to.
v.
Track; trace.
v.
The trade winds.
v.
A company of men engaged in the same occupation; thus, booksellers and publishers speak of the customs of the trade, and are collectively designated as the trade.
v. t.
To cause to contend in a race; to drive at high speed; as, to race horses.
v. t.
To run a race with.
v. t.
To trace by scent; to track; -- a hunting term.
n.
A mark or impression left by the foot, either of man or beast; trace; vestige; footprint.
imp. & p. p.
of Trace
v. t.
To follow the tracks or traces of; to pursue by following the marks of the feet; to trace; to trail; as, to track a deer in the snow.
v. t.
To mark out; to draw or delineate with marks; especially, to copy, as a drawing or engraving, by following the lines and marking them on a sheet superimposed, through which they appear; as, to trace a figure or an outline; a traced drawing.
n.
One who, or that which, traces.
v. t.
A mark left by anything passing; a track; a path; a course; a footprint; a vestige; as, the trace of a carriage or sled; the trace of a deer; a sinuous trace.
n.
A mark left by something that has passed along; as, the track, or wake, of a ship; the track of a meteor; the track of a sled or a wheel.