Search references for LP SOLVE. Phrases containing LP SOLVE
See searches and references containing LP SOLVE!LP SOLVE
Solver for linear programs
lp_solve is a free software command line utility and library for solving linear programming and mixed integer programming problems. It ships with support
Lp_solve
Method to solve optimization problems
JSTOR 171894. "lp_solve reference guide (5.5.2.5)". mit.edu. Retrieved 2023-08-10. "External Language Interfaces". Retrieved 3 December 2021. "lp_solve command"
Linear_programming
Combinatorial optimization method
method of combinatorial optimization for solving integer linear programs (ILPs), that is, linear programming (LP) problems where some or all the unknowns
Branch_and_cut
Numerical software
HiGHS is open-source software to solve linear programming (LP), mixed-integer programming (MIP), and convex quadratic programming (QP) models. Written
HiGHS_optimization_solver
File format
standard ASCII medium among most of the commercial LP solvers. Essentially all commercial LP solvers accept this format, and it is also accepted by the
MPS_(format)
Software for operations research
program. PuLP is an LP/IP modeler written in Python. It can generate MPS or LP files and call GLPK, CLP/CBC, and CPLEX, to solve linear problems. PuLP is the
COIN-OR
Java-based modelling language; the free edition includes support for lp_solve, GLPK and LP or MPS file formats. PottersWheel – parameter estimation in ordinary
List_of_optimization_software
available free with the following solvers: lp_solve, glpk, LP or MPS file formats and also supports the following commercial solvers: MOSEK, IBM ILOG CPLEX Optimization
OptimJ
Software used in mathematical applications
COIN-OR Concorde TSP Solver Couenne CPLEX CUTEr Dlib FICO Xpress Galahad library GEKKO GLPK Gurobi Optimizer HiGHS IPOPT Lp solve MIDACO MiniZinc MINOS
Mathematical_software
Algebraic modeling language
Programming Language) is an algebraic modeling language to describe and solve high-complexity problems for large-scale mathematical computing (e.g. large-scale
AMPL
Released: 1983 Label: Ralph Formats: LP Pinheads on the Move Released: 1987 Label: Cramboy Formats: CD, LP Solve et Coagula Released: 1991 Label: Cramboy
Tuxedomoon_discography
American multinational technology company
"Google Rises After Creating Holding Company Called Alphabet". Bloomberg L.P. Archived from the original on November 23, 2016. Retrieved November 22,
properties with low-dimensional linear programs and that may be solved by similar algorithms. LP-type problems include many important optimization problems
LP-type_problem
Algorithms to complete a sudoku
presolve techniques for the reduction of LP problems include the set of logical rules used by humans to solve Sudokus. A Sudoku may also be modelled as
Sudoku_solving_algorithms
Decoding method
linear programming decoding (LP decoding) is a decoding method which uses concepts from linear programming (LP) theory to solve decoding problems. This approach
Linear_programming_decoding
Domesticated species of canid
ability to perceive information, retain it as knowledge, and apply it to solve problems. Studies of two dogs suggest that dogs can learn by inference.
Dog
Mathematical optimization software
class. MINTO does not have a linear programming (LP) solver of its own. It can use most of the LP solvers, like CLP, CPLEX, XPRESS through the OSI interface
MINTO
Band discography
Spanish). Productores de Música de España. Retrieved 1 March 2018. "How to Solve Our Human Problems, Pt. 2 – EP by Belle and Sebastian on Apple Music". iTunes
Belle and Sebastian discography
Belle_and_Sebastian_discography
German research institute for applied mathematics and computer science
solver for the LP relaxations is not a native component of SCIP, an open LP interface is provided instead. Currently supported LP solvers are CLP, CPLEX
Zuse_Institute_Berlin
Linear programming for Combinatorial optimization
The configuration linear program (configuration-LP) is a linear programming technique used for solving combinatorial optimization problems. It was introduced
Configuration_linear_program
Suite of mathematical modeling and optimization tools
The FICO Xpress optimizer is a commercial optimization solver for linear programming (LP), mixed integer linear programming (MILP), convex quadratic programming
FICO_Xpress
Governor of California since 2019
Newsom and a group of investors created the company PlumpJack Associates L.P. on May 14, 1991. The group started the PlumpJack Winery in 1992 with the
Gavin_Newsom
American singer-songwriter (born 1985)
think of myself as a guitar player. Every song is like a puzzle you have to solve, and a good guitar can bring something out of you that can help take you
Bruno_Mars
American aviator (1902–1974)
Mississippi, 2012 Jazz Odyssey The Sound Of Harlem Volume III Original 1964 3×LP Vinyl Box Set Columbia Records C3L 33 Mono Jazz Archive Series Various Artist
Charles_Lindbergh
American politician and talk radio show host (born 1954)
for mayor. In August 2025, he criticized Mayor Eric Adams for failing to solve the city's rat problem, despite Adams having appointed a "rat czar" in 2023
Curtis_Sliwa
world game such as an RPG, an enclosed area filled with complex puzzles to solve and hostile NPCs where the player is likely to come under attack. In this
Glossary_of_video_game_terms
Mathematical combinatorial optimization method
so that the pricing problem is relatively easy to solve. If cutting planes are used to tighten LP relaxations within a branch and price algorithm, the
Branch_and_price
2010s Russian turbofan aircraft engine
6 tf (34,400 lbf), and PD-16, uprated to 17.5 tf (38,600 lbf), with more LP compressor and turbine stages, for the Yakovlev МС-21-400 stretch to 230-seat
Aviadvigatel_PD-14
2025 studio album by the Mars Volta
Adán Guevara, features a mysterious map, designed as a puzzle for fans to solve. Following the album's release, Johann Scheerer, who runs the band's label
Lucro Sucio; Los Ojos del Vacio
Lucro_Sucio;_Los_Ojos_del_Vacio
Optimization solver
Modeling in Python: PuLp, Gurobi, and CPLEX". The Opex Analytics Blog. Retrieved 2023-04-26. "Using the Gurobi Optimizer Solvers on the Eagle System".
Gurobi_Optimizer
Cigarette brand
cigarette usually marketed to women. The Leo Burnett advertising agency solved the problem by a new style of advertising that dispensed with copy and created
Marlboro
Russian mathematician (1912–1986)
examples of Kantorovich, 1939 with the OpenOffice.org Calc Solver as well as the lp_solver. Nobel prize lecture Kantorovich, Leonid, "Mathematics in Economics:
Leonid_Kantorovich
Multi-purpose stadium in Oakland, California, U.S.
2012. Draper, Kevin (September 12, 2017). "The Oakland A's Are Trying to Solve Their Stadium Problem. Still". The New York Times. Retrieved October 14
Oakland_Coliseum
Monoamine neurotransmitter
serotonin, as well as with various serotonergic psychedelics, have been solved and published by Bryan L. Roth and colleagues. Protein serotonylation refers
Serotonin
Grammar framework
difficult. The Earley Parser solves this by altering the format of an ID/LP Grammar into a Context Free Grammar (CFG), dividing the ID/LP Grammar into an Ordered
ID/LP_grammar
English artist (born 1963)
Gagosian.com. Retrieved 6 May 2016. "Mystery over 'stolen' Tracey Emin artwork solved". Kent Online. 18 July 2024. Retrieved 15 May 2026. "Tracy Emin's mitten"
Tracey_Emin
Method of data analysis
incorporates more domain-specific assumptions about the underlying structure and solves eigenvectors of a slightly different matrix. PCA is also related to canonical
Principal_component_analysis
Governor of New Jersey from 2010 to 2018
L.P. Retrieved September 10, 2014. Dopp, Terrence (April 16, 2015). "New Jersey Cut by Moody's as Christie Gets Ninth Debt Downgrade". Bloomberg L.P.
Chris_Christie
NZ SWI US Process Released: 3 February 2017 Label: Young Turks Format: CD, LP, digital download 7 2 28 28 35 46 38 40 34 51 BPI: Silver Lahai Released:
Sampha_discography
Operation in mathematical calculus
calculus, along with differentiation. Integration was initially used to solve problems in mathematics and physics, such as finding the area under a curve
Integral
Form of competition using video games
governments hand out cash, subsidies to encourage esports development". Bloomberg L.P. – via Los Angeles Times. Paresh Dave (7 August 2013). "Online game League
Esports
2016 studio album by Kero Kero Bonito
places". In an interview with DIY magazine, Lobban likened this challenge to solving a tiling puzzle: "You start off with a few pieces, and think 'oh that’s
Bonito_Generation
Musical by Tim Rice and Andrew Lloyd Webber
capitalising on the success of the 2006 BBC–Lloyd Webber series, How Do You Solve a Problem like Maria?. Viewers voted for Lee Mead as Joseph. Mead had previously
Joseph and the Amazing Technicolor Dreamcoat
Joseph_and_the_Amazing_Technicolor_Dreamcoat
2012 video game
mechanics and difficulty." Edge also gave 7/10, stating "Max Payne 3 might solve the problem of how you manage to reload when carrying more than one gun
Max_Payne_3
American artificial intelligence company
company OpenAI LP, the holding company OpenAI GP LLC, and the capped for-profit company OpenAI Global, LLC. The holding company OpenAI LP was owned by the
OpenAI
Antacid medication
doi:10.1128/AAC.33.12.2075. PMC 172824. PMID 2694949. Dodge AG, Wackett LP (February 2005). "Metabolism of bismuth subsalicylate and intracellular accumulation
Bismuth_subsalicylate
Japanese mathematician
and a doctorate in 1975 with dissertation "偏微分方程式の初期値問題のLP可解性及び一意性" (translation: "Lp solvability and uniqueness of the initial value problem for partial
Hitoshi_Ishii
Hallucinogenic class of psychoactive drug
cause long-term cardiac problems. Kristensen's company Lophora aims to solve that with its lead compound LPH-5, a phenylethylamine derivative with an
Psychedelic_drug
nikonimgsupport.com. 2019-04-10. Retrieved 2020-09-19. "NES Sound Format - Just Solve the File Format Problem". fileformats.archiveteam.org. Retrieved 2021-03-18
List of filename extensions (M–R)
List_of_filename_extensions_(M–R)
American post-hardcore band
November 9, 2018. Sacher, Andrew (August 7, 2018). "La Dispute rework debut LP for 10th anniversary edition". BrooklynVegan. Retrieved August 10, 2018. Marria
La_Dispute_(band)
American singer-songwriter (born 1958)
2018. Hutchings, David (November 24, 1986). "Ex-Receptionist Anita Baker's Lp Gets a Rapture-Ous Reception—at Last". People. Archived from the original
Anita_Baker
2001 studio album by System of a Down
have drug problems, they're throwing them in prison. That's not really solving anything." Tankian said that "Prison Song" also addresses "how drug money
Toxicity_(album)
Chemical compound and chemical warfare nerve agent
doi:10.1042/BJ20021862. PMC 1223469. PMID 12665427. Benschop HP, De Jong LP (1988). "Nerve agent stereoisomers: analysis, isolation and toxicology". Accounts
Sarin
engineer, mathematician, and physicist, developed mathematical techniques to solve differential equations, expressed Maxwell's equations in vector notation
List_of_autodidacts
Topics referred to by the same term
method for solving an equation Fluxion (electronic musician), real name Konstantinos Soublis Fluxion (album), the Ocean Collective's first LP Fluxon, quantum
Fluxion_(disambiguation)
linearization of the constraints in SLQP, two subproblems are solved at each step: a linear program (LP) used to determine an active set, followed by an equality-constrained
Sequential linear-quadratic programming
Sequential_linear-quadratic_programming
Mathematical optimization problem restricted to integers
layouting The naive way to solve an ILP is to simply remove the constraint that x is integer, solve the corresponding LP (called the LP relaxation of the ILP)
Integer_programming
Canadian band
with gradually more complex arrangements. In this way Moore was able to solve acoustic problems one by one. To better balance Margo's vocals against the
Cowboy_Junkies
December 2016). U.S. Navy Diving Manual Revision 7 SS521-AG-PRO-010 0910-LP-115-1921 (PDF). Washington, DC.: US Naval Sea Systems Command. Archived (PDF)
Pressure_measurement
Theory in banking and finance
crisis] has a single lesson, it is that the too-big-to-fail problem must be solved." Bernanke cited several risks with too-big-to-fail institutions: These
Too_big_to_fail
Subfield of mathematical optimization
all optimal points is called the optimal set; and the problem is called solvable. If f {\displaystyle f} is unbounded below over C {\displaystyle C} , or
Convex_optimization
Excel plug-in
(or simulation) model using a modelling language such as PuLP, AMPL, GAMS or Julia/JuMP. SolverStudio also provides a tool for naming data on a spreadsheet
SolverStudio
American animated television character
Yogi's Ark, which resembles Noah's Ark with a helicopter propeller added, solving problems including Mr. Waste's pollution, Mr. Bigot's bigotry, and other
Huckleberry_Hound
Method for solving certain optimization problems
The method of iteratively reweighted least squares (IRLS) is used to solve certain optimization problems with objective functions of the form of a p-norm
Iteratively reweighted least squares
Iteratively_reweighted_least_squares
Open source software suite by Google
free and open-source software suite developed by Google for solving linear programming (LP), mixed integer programming (MIP), constraint programming (CP)
OR-Tools
DNA molecule containing genetic material of a cell
humans having an XX/XY system. New techniques were needed to definitively solve the problem: Using cells in culture Arresting mitosis in metaphase by a
Chromosome
Decade of the Gregorian calendar (2000–2009)
"Polanski wins Palme d'Or". CNN.com. Cannes, France: Cable News Network LP, LLLP. May 27, 2002. Archived from the original on August 12, 2017. Retrieved
2000s
Concepts in theoretical computer science
To differ from a safety property, a liveness property L P {\displaystyle LP} cannot rule out any finite prefix α ∈ S ∗ {\displaystyle \alpha \in S^{*}}
Safety and liveness properties
Safety_and_liveness_properties
Converting waste materials into new products
percent of plastic is recycled. The concept of sustainable design aims to solve this problem, and was laid out in the 2002 book Cradle to Cradle: Remaking
Recycling
Former baseball stadium in the Bronx, New York
unpredictable carom. This problem, dubbed the "bloody angle" by the players, was solved prior to the 1924 season by moving the infield some ten feet toward center
Yankee_Stadium_(1923)
1967 EP/soundtrack and LP by the Beatles
the Beatles that was released as a double EP in the United Kingdom and an LP in the United States. It includes the soundtrack to the 1967 television film
Magical_Mystery_Tour
Optimization method
) {\displaystyle (n+2)(n+1)/2\in O(n^{2})} times the run-time of the LP solver. In some cases, the run-time of the saturation algorithm can be improved
Lexicographic max-min optimization
Lexicographic_max-min_optimization
Subfield of information theory and computer science
to computable variants of AC and AP, and universal "Levin" search (US) solves all inversion problems in optimal time (apart from some unrealistically
Algorithmic information theory
Algorithmic_information_theory
Mathematical optimization concept
program (LP) is another LP that is derived from the original (the primal) LP in the following schematic way: Each variable in the primal LP becomes a
Dual_linear_program
Set of related approximation algorithms for the bin packing problem
LP now has only m variables, but a huge number of constraints. Even listing all the constraints is infeasible. Fortunately, it is possible to solve the
Karmarkar–Karp bin packing algorithms
Karmarkar–Karp_bin_packing_algorithms
Skyscraper complex in Manhattan, New York
World Trade Center Retail Stake". Bloomberg Personal Finance. Bloomberg L.P. Retrieved December 15, 2013. Rosenfield, Karissa (November 26, 2013). "Elevated
World Trade Center (2001–present)
World_Trade_Center_(2001–present)
2012). "Intel Haswell ULT Processors Power Saving Features and Lynx Point-LP Chipset Detailed". "5th-gen-core-family-platform-i-o-datasheet" (PDF). "Intel's
List_of_Intel_chipsets
Baseball (MLB) stadium in Baltimore, Maryland, U.S.
was filmed at Camden Yards. In these scenes, the detectives must hurry to solve a murder at Camden Yards before a game between the Orioles and the New York
Oriole_Park_at_Camden_Yards
Approximation for nonlinear optimization
sequential quadratic programming methods. While solving a QP subproblem takes more time than solving an LP one, the overall decrease in the number of iterations
Successive_linear_programming
Allotropes of carbon with a cylindrical nanostructure
Finally Ready". Semiconductor Engineering. Retrieved 13 November 2022. Zanello LP, Zhao B, Hu H, Haddon RC (March 2006). "Bone cell proliferation on carbon
Carbon_nanotube
Classification problem where multiple labels may be assigned to each instance
multiple hot encoded labels of sample i {\displaystyle i} . The label powerset (LP) transformation creates one binary classifier for every label combination
Multi-label_classification
2014 studio album by Mobb Deep
later admitted it was him, as he saw Twitter as an inadequate place to solve a conflict. He also stated he had a Prodigy diss track recorded. In January
The_Infamous_Mobb_Deep
3D combination puzzle
to later recollections, it took him about a month of trial and error to solve his own creation, during which time he became aware of the Cube's combinatorial
Rubik's_Cube
113th edition of Major League Baseball's championship series
November 1, 2017. Gurnick, Ken and Brian McTaggart (November 1, 2017). "LA solves JV! Dodgers find O to set up WS G7". Major League Baseball. Archived from
2017_World_Series
Linear regression model with a single explanatory variable
{\displaystyle {\widehat {\alpha }}} and β ^ {\displaystyle {\widehat {\beta }}} solve the following minimization problem: ( α ^ , β ^ ) = argmin ( Q ( α , β
Simple_linear_regression
French-American animated series
television series created by Robby London and co-produced by DIC Productions, L.P., Les Studios Tex SARL, Milimetros, M6 and Telcima. Both the series and the
The_Wacky_World_of_Tex_Avery
City in Massachusetts, United States
behavior and danger to pedestrians. The City of Northampton is attempting to solve this long-time problem by redesigning problematic intersections and installing
Northampton,_Massachusetts
Model for generating observable data in probability and statistics
argued that the approximation makes more assumptions than are necessary to solve the problem at hand. In such cases, it can be more accurate to model the
Generative_model
1973 studio album by Willie Nelson
president of Atlantic Records, who was interested in his music. Reshen solved the problems with RCA and signed Nelson with Atlantic as their first country
Shotgun_Willie
Graph coloring where graph elements are assigned sets of colors
the problem of fractionally coloring the edges of a graph, which can be solved in polynomial time. This is a straightforward consequence of Edmonds' matching
Fractional_coloring
1989 Indian film
November 2022. Retrieved 6 May 2024. "Vaikkozhuppu and En Kanavar Tamil Film LP Vinyl Record". Mossymart. Archived from the original on 8 February 2023. Retrieved
Vaai_Kozhuppu
Instruction for x86 microprocessors
detection routines. Archived on 14 Mar 2023. "CPUID, EAX=4 - Strange results (Solved)". Software.intel.com. Retrieved 2014-07-10. @InstLatX64 (February 28, 2019)
CPUID
Ukrainian nationalist Insurgency against the Soviet Union
1944-1945 Москва. РОССПЭН 2012 Стр. 567-568 (Russian)(tr. "Report B.C. Ryasnoy L.P. Beria about the arrest of the commander of the northwestern united group
Anti-Soviet resistance by the Ukrainian Insurgent Army
Anti-Soviet_resistance_by_the_Ukrainian_Insurgent_Army
(MIT) Yin Tat Lee (MIT) "Path-Finding Methods for Linear Programming : Solving Linear Programs in Õ(√rank) Iterations and Faster Algorithms for Maximum
Machtey_Award
Death of children under the age of 1
health strategies and helps evaluate their success. The use of IMR helps solve the inadequacies of other vital statistic systems for global health as most
Infant_mortality
Works based on Charles Dickens's 1843 novella
ghosts are coming. The gang agrees to solve the mystery, but Velma wonders if she has more potential than just solving mysteries. Family Guy "Don't Be A Dickens
Adaptations of A Christmas Carol
Adaptations_of_A_Christmas_Carol
2013 video game
LP Recharge, also known as Linkin Park Recharge, is a 2013 free-to-play action-puzzle game, developed by Swiss studio Kuuluu Interactive Entertainment
LP_Recharge
house's rear ell with a porte cochere to gain access to the back yard and solve the parking problem. 17–05 "The Salem House - 5" November 4, 1995 (1995-11-04)
List of This Old House episodes (seasons 11–20)
List_of_This_Old_House_episodes_(seasons_11–20)
Method of solving linear programming problems
In operations research, the Big M method is a method of solving linear programming problems using the simplex algorithm. The Big M method extends the
Big_M_method
Portable apparatus to recycle breathing gas
December 2016). U.S. Navy Diving Manual Revision 7 SS521-AG-PRO-010 0910-LP-115-1921 (PDF). Washington, DC.: US Naval Sea Systems Command. Chapter 15
Rebreather
LP SOLVE
LP SOLVE
Girl/Female
Bengali, Indian
Eternity; Problem Solver
Boy/Male
Muslim
Problem solver
Boy/Male
Arabic, French, Hindu, Indian, Marathi, Muslim, Sindhi
Joy; Solved; Based
Girl/Female
Norse Swedish
House woman.
Boy/Male
Arabic, Muslim
He who Solves Difficulties
Female
Swedish
Swedish form of Old Norse Solveig, SOLVIG means "strong house."
Girl/Female
Arabic, Australian, Bengali, Indian, Muslim
Solver; Cleanliness; Intelligent; Pure
Female
Norse
Old Norse name composed of the elements salr "house" and veig "strength," hence "strong house."
Boy/Male
Arabic, Indian, Muslim
Problem Solver
Boy/Male
Muslim/Islamic
Joy solved
Female
Icelandic
Icelandic form of Old Norse Solveig, SALVEIG means "strong house."
Boy/Male
Indian, Marathi
All Solve
Girl/Female
Australian, Danish, Dutch, Finnish, French, German, Norse, Scandinavian, Swedish
House of Power; Hall; Strength; House Woman; Woman of the House; House
Female
Danish
, Sun-way.
Boy/Male
Afghan, Arabic, Indian, Muslim, Sindhi
The One who Opens; One who Solves Difficulties; One of the Ninety-nine Names of God; One who Attains Victory
Female
Norwegian
Norwegian form of Old Norse Solveig, SOLAUG means "strong house."
LP SOLVE
LP SOLVE
Girl/Female
Tamil
Immense Joy, God is gracious
Boy/Male
Gujarati, Hindu, Indian, Kannada, Malayalam, Marathi, Telugu, Traditional
A Jain Saint
Surname or Lastname
English
English : status name for a servant or nobleman who was under the protection of a king or powerful lord, Middle English, Old French vassal (Late Latin vazallus). In the U.S. this is a mainly southern name.
Boy/Male
Indian
One who does much prostrations
Boy/Male
Arabic
Wise
Male
Greek
(ΔημήτÏιος) Greek name derived from the name of the goddess Demeter ("earth mother"), DEMETRIOS means "loves the earth" or "follower of Demeter."
Boy/Male
Arabic, Islamic, Muslim, Pakistani, Urdu
A Star
Girl/Female
Hindu, Indian, Marathi, Sanskrit
Extremely Distinguished
Girl/Female
Hindu
Black, Dark blue
Girl/Female
Hindu
A name of river
LP SOLVE
LP SOLVE
LP SOLVE
LP SOLVE
LP SOLVE
n.
One who, or that which, solves.
n.
A substance to be dissolved.
v. t. & i.
To read the riddle of; to solve or explain; as, to unriddle an enigma or a mystery.
v. t.
To explain; to solve; to unriddle.
p. pr. & vb. n.
of Solve
n.
A solution; an explanation.
a.
Having the power of dissolving; dissolving; as, a solvent fluid.
v. t.
To loose; to open; to take to piece; to unfasten; to untie; hence, to unravel; to solve; as, to undo a knot; to undo a puzzling question; to undo a riddle.
n.
That which resolves; as, a solvent of mystery.
a.
Able to pay one's debts; solvent.
v. t.
Hence, to clear from complication or difficulty; to unfold; to solve; as, to unravel a plot.
v. t.
To solve, to clear up; as, to soyl all other texts.
n.
The finer and more volatile parts of a substance, separated by a solvent; an extract of a part of the substance of a body communicated to the solvent.
v. t.
To explain; to resolve; to unfold; to clear up (what is obscure or difficult to be understood); to work out to a result or conclusion; as, to solve a doubt; to solve difficulties; to solve a problem.
n.
A problem to be solved, or an example to be wrought out.
a.
Able or sufficient to pay all just debts; as, a solvent merchant; the estate is solvent.
imp. & p. p.
of Solve
n.
A substance (usually liquid) suitable for, or employed in, solution, or in dissolving something; as, water is the appropriate solvent of most salts, alcohol of resins, ether of fats, and mercury or acids of metals, etc.
n.
The quality or state of being solvent.
n.
Something proposed to be solved by guessing or conjecture; a puzzling question; an ambiguous proposition; an enigma; hence, anything ambiguous or puzzling.