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science, the string-to-string correction problem refers to determining the minimum cost sequence of edit operations necessary to change one string into another
String-to-string correction problem
String-to-string_correction_problem
Finding strings that approximately match a pattern
The problem of approximate string matching is typically divided into two sub-problems: finding approximate substring matches inside a given string and
Approximate_string_matching
Post correspondence problem Shortest common supersequence over multiple sequences Extension of the string-to-string correction problem Bag (Corral) Battleship
List_of_NP-complete_problems
Computer science metric of string similarity
required to transform one string into the other. Edit distances find applications in natural language processing, where automatic spelling correction can determine
Edit_distance
Computer science metric for string similarity
programming, is discussed, with variants, in the 1974 article The String-to-string correction problem by Robert A. Wagner and Michael J. Fischer. This is a straightforward
Levenshtein_distance
Theory of subatomic structure
forces and forms of matter. Despite much work on these problems, it is not known to what extent string theory describes the real world or how much freedom
String_theory
German computer scientist
highly cited works on experimental software engineering, the string-to-string correction problem, software configuration management, and extreme programming
Walter_F._Tichy
Metric in computer science
Roy; Wagner, Robert A. (April 1975), "An Extension of the String-to-String Correction Problem", J ACM, 22 (2): 177–183, doi:10.1145/321879.321880, S2CID 18892193
Damerau–Levenshtein_distance
Algorithmic problem on pairs of sequences
S2CID 16120634. Wagner, Robert; Fischer, Michael (January 1974). "The string-to-string correction problem". Journal of the ACM. 21 (1): 168–173. CiteSeerX 10.1.1.367
Longest_common_subsequence
Type of software vulnerability
Originally thought harmless, format string exploits can be used to crash a program or to execute harmful code. The problem stems from the use of unchecked
Uncontrolled_format_string
Graphical representation of a morphism
error correction, see ZX-calculus Natural language processing, see DisCoCat Quantum natural language processing Proof nets, a generalisation of string diagrams
String_diagram
Emacs implementation by James Gosling
code, which used a dynamic programming technique to solve the classical string-to-string correction problem. The algorithm was quite sophisticated; that section
Gosling_Emacs
American computer scientist (born 1942)
S2CID 9034016.. Wagner, Robert A.; Fischer, Michael J. (1974). "The string-to-string correction problem". Journal of the ACM. 21 (1): 168–173. doi:10.1145/321796
Michael_J._Fischer
Unsolved problem in physics
fundamental quantity and the quantum corrections. Hierarchy problems are related to fine-tuning problems and problems of naturalness. Throughout the 2010s
Hierarchy_problem
Method for aligning biological sequences
1007/BF01074755. S2CID 123081024. Wagner RA, Fischer MJ (1974). "The string-to-string correction problem". Journal of the ACM. 21 (1): 168–173. doi:10.1145/321796
Needleman–Wunsch_algorithm
Description of gravity using discrete values
ISBN 978-981-283-426-3. S2CID 119663169. Schwarz, John H. (2007). "String Theory: Progress and Problems". Progress of Theoretical Physics Supplement. 170: 214–226
Quantum_gravity
Type of data transmission method
Control System – Version control system for source code String-to-string correction problem Xdelta: open-source delta encoder "Time-series compression
Delta_encoding
Computer algebra system
Cadabra was developed around 2001 for computing higher-derivative string theory correction to supergravity. Released under the GNU General Public License,
Cadabra_(computer_program)
Theories trying to extend known physics
completely cancels the quantum corrections. This level of fine-tuning is deemed unnatural by many theorists.[who?] The problem cannot be formulated in the
Physics beyond the Standard Model
Physics_beyond_the_Standard_Model
Theory of rapid universe expansion
field theory are thought to be invalid, as renormalization should cause large corrections that could prevent inflation. This problem has not yet been resolved
Cosmic_inflation
Hypothetical elementary particle that mediates gravity
theory of gravitons due to the unsolved mathematical problem of renormalization in general relativity. This problem is avoided in string theory, which has the
Graviton
Proof by Alan Turing
D (string of letters similar to a “program”) can be converted to an integer (base 8) and vice versa. Any number N (in base 8) can be converted to an S
Turing's_proof
Wave that remains in a constant position
altered by its contact with the air and so end correction is used to place it exactly. The density of a string will affect the frequency at which harmonics
Standing_wave
Structure of a formal language
computing that determines whether a given string belongs to the language or is grammatically incorrect. To describe such parsers, formal language theory
Formal_grammar
categories of operas, piano concertos, piano sonatas, symphonies, string quartets, and string quintets. Mozart also wrote many violin sonatas; other forms
List of compositions by Wolfgang Amadeus Mozart
List_of_compositions_by_Wolfgang_Amadeus_Mozart
Set of mathematical concepts in quantum gravity
term "quantum geometry" in a slightly different fashion. String theory uses quantum geometry to describe exotic phenomena such as T-duality and other geometric
Quantum_geometry
Symmetry between bosons and fermions
corrections. The observed hierarchy between the electroweak scale and the Planck scale must be achieved with extraordinary fine tuning. This problem is
Supersymmetry
Fret in the headstock of a stringed instrument
preferred to avoid string buzz with heavy playing style. The lower fret area is therefore out of tune. A partial solution is to apply nut corrections by reducing
Zero_fret
Study of the properties of codes and their fitness
such as to reduce Internet traffic. Data compression and error correction may be studied in combination. Error correction adds useful redundancy to the data
Coding_theory
Theory of quantum gravity merging quantum mechanics and general relativity
possible solution to the problem of quantum gravity, as is string theory. There are substantial differences however. For example, string theory also addresses
Loop_quantum_gravity
Quantum algorithm
classes of functions, it tries to learn a string encoded in a function. The Bernstein–Vazirani algorithm was designed to prove an oracle separation between
Bernstein–Vazirani_algorithm
Problem in computer science
eventually halt (finish running) or continue to run forever. Alan Turing proved in 1937 that the halting problem is undecidable, meaning that no general algorithm
Halting_problem
Family of linear error-correcting codes
and correct it?'". Over the next few years, he worked on the problem of error-correction, developing an increasingly powerful array of algorithms. In
Hamming_code
Process in quantum computing
n-qubit system can be described by a binary string of length 2n, allowing classical error-correction techniques to be applied under suitable constraints. Although
Quantum_error_correction
Ten-dimensional supergravity
heterotic string theory reduces to type I supergravity with an E 8 × E 8 {\displaystyle E_{8}\times E_{8}} gauge group. There are additional corrections that
Type_I_supergravity
out. This is usually referred to as a wash-out, or words to that effect, and can occur in any part of the drill string or bottom hole assembly. Because
Driller's_depth
Number of bits that differ between two strings
substitutions required to change one string into the other, or equivalently, the minimum number of errors that could have transformed one string into the other
Hamming_distance
Set of strings with few differences
r<|x|} . The name Hamming ball comes from coding theory, where error correction codes can be defined as having disjoint Hamming balls around their codewords
Hamming_ball
Comprehensive physical model
because it solves the hierarchy problem—i.e., it stabilizes the electroweak Higgs mass against radiative corrections. Since Majorana masses of the right-handed
Grand_Unified_Theory
Ten-dimensional supergravity
terms of the string coupling and the second are string corrections terms of the Regge slope α ′ {\displaystyle \alpha '} . These corrections play an important
Type_IIB_supergravity
{\displaystyle Rep(W,P)} to output an incorrect secret string R ~ {\displaystyle {\tilde {R}}} . Robust fuzzy extractors solve this problem by allowing the reproduce
Fuzzy_extractor
Hungarian composer (1881–1945)
for Strings, Percussion and Celesta, the Concerto for Orchestra and six string quartets. Through his collection and analytical study of folk music, he
Béla_Bartók
Application of K-theory in string theory
In string theory, K-theory classification refers to a conjectured application of K-theory (in abstract algebra and algebraic topology) to superstrings
K-theory_(physics)
Profession
together. For example, if a piano string tuned to 440 Hz (vibrations per second) is played together with a string tuned to 442 Hz, the resulting tone beats
Piano_tuning
Russian global navigation satellite system
transmitted with each string; UTC leap second correction is achieved by shortening or lengthening (zero-padding) the final string of the day by one second
GLONASS
German composer and conductor
songs String quartet in F major, Op. 42 (c. 1883) String quartet in D major, Op. 61 (c. 1890) String quintet in G minor, Op. 62 (c. 1890) String sextet
August_Klughardt
Theories of higher-dimensional general relativity
curvature corrections and becomes dynamically non-trivial in dimensions five and higher. These theories are studied in the context of problems in high-energy
Higher-dimensional Einstein gravity
Higher-dimensional_Einstein_gravity
Number of nonzero symbols in a string
Hamming weight of a string is the number of symbols that are different from the zero-symbol of the alphabet used. It is thus equivalent to the Hamming distance
Hamming_weight
Regular, pulsating change of pitch in music
Auld, was brought in to play the part. Many classical musicians, especially singers and string players, have a similar problem. The violinist and teacher
Vibrato
classical spacetime emerges within string theory or the AdS/CFT correspondence is still not well understood. Problem of time: In quantum mechanics, time
List of unsolved problems in physics
List_of_unsolved_problems_in_physics
Hypothesis proposing a modification of Newton's laws
Unsolved problem in physics What is the nature of dark matter? Is it a particle, or do the phenomena attributed to dark matter actually require a modification
Modified_Newtonian_dynamics
Ten-dimensional supergravity
found in all string theories, while the 3-form and 1-form fields correspond to the RR states of type IIA string theory. Corrections to the type IIA supergravity
Type_IIA_supergravity
that are typically designed and used to be a simpler way to solve a specific problem or a broad set of problems. Simply speaking, algorithms define different
List_of_algorithms
Optimization algorithms using quantum computing
solution to an optimization problem, which is often NP-hard. The approximated solution of the combinatorial optimization problem is a string z {\displaystyle
Quantum optimization algorithms
Quantum_optimization_algorithms
Gravity theories that are invariant under Weyl transformations
consider a small correction to Newtonian gravity like this (where we consider ε {\displaystyle \varepsilon } to be a small correction): ◻ Φ + ε 2 ◻ 2
Conformal_gravity
Family of numbered networking protocols
the 8-bit version of the string E$FF[$FF]C$FF[$FF], indicating "EC", or "Error correction and Compression". If error correction was supported, but compression
Microcom_Networking_Protocol
Statistical analysis phenomenon
effectively to the mundane and arbitrary example text of the 1987 United States Supreme Court decision Edwards v. Aguillard. Bonferroni correction Data dredging
Look-elsewhere_effect
Computation complexity problem
In quantum information, the hidden matching problem is a computational complexity problem that can be solved using quantum protocols: Let n {\displaystyle
Hidden_matching_problem
Solitons in Euclidean spacetime
path integral as the leading quantum corrections to the classical behavior of a system, and they can be used to study the tunneling behavior in various
Instanton
Supergravity in eleven dimensions
mid-1990s when it was found to be the low energy limit of M-theory, making it crucial for understanding various aspects of string theory. Supergravity was
Eleven-dimensional supergravity
Eleven-dimensional_supergravity
NP-hard problem in combinatorial optimization
their initial 49-city problem using a string model. They found they only needed 26 cuts to come to a solution for their 49 city problem. While this paper
Travelling_salesman_problem
Physics generalization
quantum mechanical systems. It emerges from several approaches to quantum gravity, including string theory, loop quantum gravity, and quantum geometry, and suggests
Generalized uncertainty principle
Generalized_uncertainty_principle
Procedural, imperative computer programming language
string concept was expanded to accommodate wide non-ASCII/EBCDIC strings. Time and date handling were overhauled to deal with the millennium problem,
PL/I
rather it is slightly outside the end. The difference is called an end correction. The difference is larger for wider pipes. For example, at low frequencies
Organ_flue_pipe_scaling
Approach to software development
sample in C (intended to find and copy a series of digits from a larger string) has several problems: #include <stdio.h> #include <string.h> #include <ctype
Programming_by_permutation
will the tension in the string be explained using only the observed rate of rotation. For all other observers a "correction" is required (a centrifugal
Rotating_spheres
Theory of gravitation as curved spacetime
....S, ISBN 978-0-521-45506-0 Schwarz, John H. (2007), "String Theory: Progress and Problems", Progress of Theoretical Physics Supplement, 170: 214–226
General_relativity
Monster and modular connection
Quanta Magazine. Dambeck, Manon (2024-02-20). "How String Theory Solved Math's Monstrous Moonshine Problem". Scientific American. Frenkel, Igor B.; Lepowsky
Monstrous_moonshine
Time-telling device
perpendicular to its orbit. The sundial's indicated solar time thus varies from clock time by small amounts that change throughout the year. This correction—which
Sundial
Instrumental works: Symphony No. 1, D 82 String Quartet No. 4, D 46 String Quartet No. 5, D 68 String Quartet No. 6, D 74 String Quartet No. 10, D 87 Vocal music:
List of compositions by Franz Schubert (1813)
List_of_compositions_by_Franz_Schubert_(1813)
Computation model defining an abstract machine
arbitrary string s, it is generally not possible to decide whether M will eventually produce s. This is due to the fact that the halting problem is unsolvable
Turing_machine
long division of the binary message string, with a fixed number of zeroes appended, by the "generator polynomial" string except that exclusive or operations
Computation of cyclic redundancy checks
Computation_of_cyclic_redundancy_checks
Quantum Merlin Arthur
refers to a complexity class in computational complexity theory. It is the set of all formal languages that satisfy the following properties: If a string is
QMA
Property of cryptographic hash functions
competition Provably secure cryptographic hash function Error detection and correction Goldwasser, S. and Bellare, M. "Lecture Notes on Cryptography" Archived
Collision_resistance
Problem in computer science
complexity theory and quantum computing, Simon's problem is a computational problem that is proven to be solved exponentially faster on a quantum computer
Simon's_problem
Attraction of masses and energy
stationary gravitational field, general relativity reduces to Newton's equations. The corrections introduced by general relativity on Earth are on the order
Gravity
Finds likely sequence of hidden states
bioinformatics. For instance, in speech-to-text (speech recognition), the acoustic signal is the observed sequence, and a string of text is the "hidden cause" of
Viterbi_algorithm
completed) and several overtures. Schubert's chamber music includes over 20 string quartets, and several quintets, trios and duos. This article constitutes
List of compositions by Franz Schubert by genre
List_of_compositions_by_Franz_Schubert_by_genre
Category of mathematical proof
an impossibility theorem is a theorem that demonstrates a problem or general set of problems cannot be solved. These are also known as proofs of impossibility
Proof_of_impossibility
Programmable text editor
a "correction tape" describing the editing operations to be performed on the text. One would efficiently feed the source tape and the correction tape
TECO_(text_editor)
Computer bugs related to the year 2000
The term Year 2000 problem, or simply Y2K, refers to potential computer errors related to the formatting and storage of calendar data for dates in and
Year_2000_problem
Methods of mathematical approximation
keeping only the first two terms, the solution to the known problem and the 'first order' perturbation correction. Perturbation theory is used in a wide range
Perturbation_theory
Overview of computer engineering topics
transform Digital signal processing Analog-to-digital converter Parity bit Error detection and correction Cyclic redundancy check Hamming code Hamming(7
Computer engineering compendium
Computer_engineering_compendium
completed) and several overtures. Schubert's chamber music includes over 20 string quartets, and several quintets, trios and duos. Otto Erich Deutsch compiled
List of compositions by Franz Schubert
List_of_compositions_by_Franz_Schubert
Strong-weak duality in supersymmetric theories of theoretical physics
were no quantum corrections to the classical mass spectrum and the calculation of the exact masses could be obtained. The problem related to the monopole's
Montonen–Olive_duality
Instant translation of spoken phrases
boundary of spoken language, the correction of speech recognition errors and multiple optional inputs. Additionally, speech-to-speech translation also has
Speech_translation
Impossible task in computing
mathematics and computer science, the Entscheidungsproblem (German for 'decision problem'; pronounced [ɛntˈʃaɪ̯dʊŋspʁoˌbleːm]) is a challenge posed by David Hilbert
Entscheidungsproblem
Computer language processing metric
given syntax allows for error correction and, if it does, how easy that process is for the user. There is thus some merit to the argument that performance
Word_error_rate
2011 edition of the C++ programming language standard
working draft most similar to the published C++11 standard is N3337, dated 16 January 2012; it has only editorial corrections from the C++11 standard. C++11
C++11
containing just the empty string), a (where a is any character in Σ; denoting the singleton set just containing the single-character string a), r + s (where r
Induction of regular languages
Induction_of_regular_languages
Simplest supersymmetric extension to the Standard Model
1981 to stabilize the weak scale, solving the hierarchy problem. The Higgs boson mass of the Standard Model is unstable to quantum corrections and the
Minimal Supersymmetric Standard Model
Minimal_Supersymmetric_Standard_Model
Number, approximately 3.14
it is impossible to solve the ancient problem of squaring the circle with a compass and straightedge. The decimal digits of π appear to be evenly distributed
Pi
General-purpose programming language
multiple data types to share the same memory location User-defined enumeration types support aliasing integer values Lacks a string type but has syntax
C_(programming_language)
8-bit microprocessor from 1975
null-terminated character string from one location to another, converting upper-case letter characters to lower-case letters. The string being copied is the
MOS_Technology_6502
Type of vector space in math
the Sturm–Liouville problem arises in the study of the harmonics of waves in a violin string or a drum, and is a central problem in ordinary differential
Hilbert_space
Type of error-correcting code
this new string as defining a new problem L ′ {\displaystyle L'} on length t ′ {\displaystyle t'} inputs. If L ′ {\displaystyle L'} is easy to solve on
Locally_decodable_code
Force resulting from the quantisation of a field
oscillations has an analogue of the Casimir effect. For example, beads on a string as well as plates submerged in turbulent water or gas illustrate the Casimir
Casimir_effect
range D 13–37, and include: Instrumental works: String Quartet No. 1, D 18 String Quartet No. 2, D 32 String Quartet No. 3, D 36 Vocal music: Klaglied, D 23
List of compositions by Franz Schubert (1812)
List_of_compositions_by_Franz_Schubert_(1812)
German composer and pianist (1833–1897)
flute. For enjoyment, he played first violin in string quartets. The family moved over the years to ever better accommodation in Hamburg. Johann Jakob
Johannes_Brahms
Type of Turing machine
(1938). "On Computable Numbers, with an Application to the Entscheidungsproblem: A correction". Proceedings of the London Mathematical Society. 2. 43
Universal_Turing_machine
STRING TO-STRING-CORRECTION-PROBLEM
STRING TO-STRING-CORRECTION-PROBLEM
Boy/Male
Assamese, Indian
Sining
Female
Romanian
Feminine form of Romanian Sorin, SORINA means "sun."
Surname or Lastname
English
English : occupational name for a maker of string or bow strings, from an agent derivative of Middle English streng ‘string’. In Yorkshire, where it is still particularly common, Redmonds argues that the surname may have been connected with iron working, a stringer having operated some form of specialist hearth.
Surname or Lastname
English
English : from Middle English strong, strang ‘strong’, generally a nickname for a strong man but perhaps sometimes applied ironically to a weakling.French : translation of Trahand, a metonymic occupational name for a silkworker who drew out the thread from the cocoons (see Trahan).Translation of Ashkenazic Jewish Stark.
Surname or Lastname
German and Jewish (Ashkenazic)
German and Jewish (Ashkenazic) : from Middle High German hærinc ‘herring’, German Hering, a nickname for someone supposedly resembling a herring or a metonymic occupational name for a fish seller. In some cases the Jewish surname is ornamental.English : variant spelling of Herring.
Surname or Lastname
English
English : metonymic occupational name for a maker of strings or bow strings, from Middle English streng ‘string’, ‘cord’.
Boy/Male
Anglo, British, English
Strong
Surname or Lastname
English
English : habitational name from places in Oxfordshire and West Sussex named Goring, from Old English GÄringas ‘people of GÄra’, a short form of the various compound names with the first element gÄr ‘spear’.German (Göring) : see Goering.
Girl/Female
Indian
Lively, Entertainer, From a stream or a Spring, The Spring season, The Spring season
Surname or Lastname
English
English : variant of Spring.
Surname or Lastname
English
English : of uncertain origin. Early examples, as for example William Spring (Yorkshire 1280), all point to a personal name or nickname, perhaps going back to an Old English byname derived from the verb springan ‘to jump or leap’ (see Springer 1). Alternatively, it could be a topographic name from Middle English spring ‘young wood’, ‘spring’. Compare Springer. Reaney derives the surname from the word denoting the season, although the word is not attested in this sense until the 16th century, the usual Middle English word being lenten. Compare Lenz. The surname has also been established in Ireland (County Kerry) for several centuries.German : from Middle High German sprinc, Middle Low German sprink ‘spring’, ‘well’, hence a topographic name for someone who lived by a spring or well, or habitational name from Springe near Hannover.Jewish (Ashkenazic) : variant of Springer.John Spring emigrated from England and settled in Watertown, MA, in 1634.
Boy/Male
British, English
Spike of Grain
Surname or Lastname
English
English : perhaps be a nickname from Middle English daring ‘trembling’, ‘crouching or transfixed with fear’.
Female
English
English variant spelling of Latin Serena, SERINA means "serene, tranquil."
Boy/Male
American, Australian, British, English
Powerful
Female
English
Variant spelling of English Serena, SARINA means "serene, tranquil."
Female
English
English name derived from the season name, "spring," (Mar. 21 thru Jun. 21), derived from the verb spring, "to burst forth," from Proto-Indo-European *sprengh-, SPRING means "rapid movement."Â
Surname or Lastname
English
English : unexplained.
Girl/Female
American, Australian, Bengali, British, Christian, English, Indian
Springtime; Spring Season; Rapid Movement
Girl/Female
Hindu, Indian
Strong; Caring
STRING TO-STRING-CORRECTION-PROBLEM
STRING TO-STRING-CORRECTION-PROBLEM
Surname or Lastname
Dutch and French
Dutch and French : from a variant of the personal name Mathias (see Matthew).English : patronymic from a pet form of Matthew.
Biblical
muddy; eggs; fine linen or silk
Boy/Male
Hindu, Indian, Punjabi
God of Yoga; Source of Knowledge; Lord Krishna; Lord Shiva
Female
English
Variant spelling of English Kaylyn, KALYN means "girl."
Girl/Female
English
Elf counselor.
Boy/Male
English
Meadow with a cross.
Surname or Lastname
English
English : unexplained.Romanian : occupational name for a merchant (Late Latin negotiator, from negotiari ‘to trade, deal’, a derivative of negotium ‘business’, ‘affair’).
Girl/Female
Biblical
Disposed, prepared.
Girl/Female
Australian, Greek
Flower Name
Girl/Female
Assamese, Gujarati, Hindu, Indian, Kannada, Malayalam, Marathi, Sanskrit, Tamil, Telugu
One who can Concentrate
STRING TO-STRING-CORRECTION-PROBLEM
STRING TO-STRING-CORRECTION-PROBLEM
STRING TO-STRING-CORRECTION-PROBLEM
STRING TO-STRING-CORRECTION-PROBLEM
STRING TO-STRING-CORRECTION-PROBLEM
superl.
Solid; nourishing; as, strong meat.
n.
A small cord, a line, a twine, or a slender strip of leather, or other substance, used for binding together, fastening, or tying things; a cord, larger than a thread and smaller than a rope; as, a shoe string; a bonnet string; a silken string.
imp.
of String
superl.
Affecting any sense powerfully; as, strong light, colors, etc.; a strong flavor of onions; a strong scent.
superl.
Well established; firm; not easily overthrown or altered; as, a strong custom; a strong belief.
v. t.
To put on a string; to file; as, to string beads.
v. t.
To cause to close suddenly, as the parts of a trap operated by a spring; as, to spring a trap.
superl.
Solid; tough; not easily broken or injured; able to withstand violence; able to sustain attacks; not easily subdued or taken; as, a strong beam; a strong rock; a strong fortress or town.
a.
Strong.
n.
A thread or cord on which a number of objects or parts are strung or arranged in close and orderly succession; hence, a line or series of things arranged on a thread, or as if so arranged; a succession; a concatenation; a chain; as, a string of shells or beads; a string of dried apples; a string of houses; a string of arguments.
v. t.
To cause to explode; as, to spring a mine.
v. t.
To furnish with strings; as, to string a violin.
a.
Consisting of strings, or small threads; fibrous; filamentous; as, a stringy root.
v. t.
To deprive of strings; to strip the strings from; as, to string beans. See String, n., 9.
superl.
Adapted to make a deep or effectual impression on the mind or imagination; striking or superior of the kind; powerful; forcible; cogent; as, a strong argument; strong reasons; strong evidence; a strong example; strong language.
superl.
Ardent; eager; zealous; earnestly engaged; as, a strong partisan; a strong Whig or Tory.
p. p.
of String
v. t.
To put in tune the strings of, as a stringed instrument, in order to play upon it.