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In the study of algorithms, an LP-type problem (also called a generalized linear program) is an optimization problem that shares certain properties with
LP-type_problem
Method to solve optimization problems
descriptions of redirect targets LP-type problem Mathematical programming – Study of mathematical algorithms for optimization problemsPages displaying short descriptions
Linear_programming
d {\displaystyle d} -dimensional integer linear programs form an LP-type problem of combinatorial dimension 2 d {\displaystyle 2^{d}} , and can be solved
Doignon's_theorem
Mathematical optimization problem restricted to integers
constraints is feasible; a method combining this result with algorithms for LP-type problems can be used to solve integer programs in time that is linear in m {\displaystyle
Integer_programming
Finding the smallest circle that contains all given points
Raimund Seidel. Subsequently, the smallest-circle problem was included in a general class of LP-type problems that can be solved by algorithms like Welzl's
Smallest-circle_problem
which generate all integer vectors in the cone LP-type problem Linear inequality Vertex enumeration problem — list all vertices of the feasible set Convex
List of numerical analysis topics
List_of_numerical_analysis_topics
File format
and archiving linear programming (LP) and mixed integer programming problems. The format was named after an early IBM LP product and has emerged as a de
MPS_(format)
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
Sports car produced by Lamborghini
Lamborghini Aventador LP 700-4 at the 2011 Goodwood Festival of speed Problems playing this file? See media help. The Lamborghini Aventador (Spanish pronunciation:
Lamborghini_Aventador
Function spaces generalizing finite-dimensional p norm spaces
In mathematics, the Lp spaces are function spaces defined using a natural generalization of the p-norm for finite-dimensional vector spaces. They are sometimes
Lp_space
Problem in combinatorial optimization
{\displaystyle S_{1}\cup S_{2}} provides an upper bound for the LP relaxation of the problem, one of the sets must have value at least m / 2 {\displaystyle
Knapsack_problem
Computer scientist
the smallest circle problem and for low-dimensional linear programming, and developed the combinatorial framework of LP-type problems that generalizes both
Emo_Welzl
American computer scientist
search, motion planning, and low-dimensional linear programming and LP-type problems. In 2008 Clarkson was named ACM Fellow for his "contributions to computational
Kenneth_L._Clarkson
Subfield of mathematical optimization
to convex optimization problems via simple transformations: Linear programming problems are the simplest convex programs. In LP, the objective and constraint
Convex_optimization
Australian and American mathematician (born 1975)
Thiele, among others. Similar problems were analysed by Tao in 2001 in the context of Bourgain spaces, rather than the usual Lp spaces.[T01b] Such estimates
Terence_Tao
Study of mathematical algorithms for optimization problems
generalization of linear or convex quadratic programming. Linear programming (LP), a type of convex programming, studies the case in which the objective function
Mathematical_optimization
1999 studio album by Eminem
The Slim Shady LP is the second studio album by American rapper Eminem. It was released through Aftermath Entertainment, WEB Entertainment, and Interscope
The_Slim_Shady_LP
2000 studio album by Eminem
The Marshall Mathers LP is the third studio album by the American rapper Eminem, released on May 23, 2000, by Aftermath Entertainment and Interscope Records
The_Marshall_Mathers_LP
Type of operator in Fourier analysis
for instance if it is only assumed to lie in an Lp space. See the discussion on the "boundedness problem" below. As a bare minimum, one usually requires
Multiplier_(Fourier_analysis)
Sports car produced by Lamborghini
Early models include the LP 550-2 (Coupé/Spyder), LP 560-4 (Coupé/Spyder), LP 570-4 (Superleggera/Spyder Performante). The 2013 LP 570-4 Super Trofeo is
Lamborghini_Gallardo
Shape containing unit line segments in all directions
in Lp norm when p ≠ 2 (this is in contrast to the one-dimensional case where such truncated integrals do converge). Analogues of the Kakeya problem include
Kakeya_set
graph, which happens when unique sink orientations are used to model LP-type problems, it is possible to find the sink using a randomized algorithm in expected
Unique_sink_orientation
Solving an optimization problem with a quadratic objective function
programming is a type of nonlinear programming. "Programming" in this context refers to a formal procedure for solving mathematical problems. This usage dates
Quadratic_programming
performance problems and improving solving time. At this time, it is available only for lp_solve. OptimJ is available for free with the following solvers lp_solve
OptimJ
2021 studio album by dodie
Build a Problem is the debut studio album by the English singer-songwriter dodie. Previously, dodie released three extended plays (EPs): Intertwined (2016)
Build_a_Problem
February 13, 2026. Garner, Emily (July 30, 2025). "Dream Nails announce third LP, You Wish: "This is a punk album about resilience"". Kerrang!. Retrieved July
List_of_2026_albums
Turbofan aircraft engine
driven by a single-stage turbine. On the LP spool a three-stage turbine drives a single-stage fan and a four-stage LP compressor. The engine made its first
Pratt_&_Whitney_PW6000
Optimization problem
minimize the makespan, the Lp norm, tardiness, maximum lateness etc. It can also be multi-objective optimization problem. Certain jobs must be completed
Job-shop_scheduling
Turbojet engine
Project designation of the JT3-8 prototype of the barrel type (meaning constant diameter LP/HP compressor case) design first run on 28 June 1949. X-184
Pratt_&_Whitney_J57
American social networking service
U.K. Court" Archived November 3, 2014, at the Wayback Machine Bloomberg L.P..com May 20, 2011 "Twitter users served with privacy injunction". Politics
X_(social_network)
American country musician
Lorie (March 27, 2026). "ERNEST Gets Into A Tropical State Of Mind On New LP 'Deep Blue'". MusicRow. Retrieved April 1, 2026. "Morgan Wallen – Chart history
Ernest_(singer)
U.S. based investment management firm
Bridgewater Associates, LP (informally known as "Bridgewater") is an American investment management firm founded by Ray Dalio in 1975. The firm serves
Bridgewater_Associates
Turbofan engine with a gearbox used to drive its fan
for the LP shaft and thus the LP compressor and turbine. At high bypass ratios (and thus also high radius ratios) the rotational speed of the LP turbine
Geared_turbofan
Concepts from statistical hypothesis testing
by the data – Problem of circular reasoning in statistics Type III error – Term in statistical hypothesis testing "Type I Error and Type II Error". explorable
Type_I_and_type_II_errors
Problem in graph theory
as large as possible. Finding such a cut is known as the max-cut problem. The problem can be stated simply as follows. One wants a subset S of the vertex
Maximum_cut
Triebel–Lizorkin space is a generalization of many standard function spaces such as Lp spaces and Sobolev spaces. It is named after Hans Triebel [de; pt] (born February
Triebel–Lizorkin_space
Open standard for financial unique identifier
structure is defined and copyrighted by the Object Management Group. Bloomberg L.P. is the Registration Authority and Certified Provider of the standard. FIGI
Financial Instrument Global Identifier
Financial_Instrument_Global_Identifier
Mathematical model for sequential decision making under uncertainty
feasible solution to the D-LP if y ( i , a ) {\displaystyle y(i,a)} is nonnative and satisfied the constraints in the D-LP problem. A feasible solution y
Markov_decision_process
File format for block-based Gzip compression
Fractal KLT LP RLE Wavelet Daubechies DWT EZW SPIHT Video Concepts Bit rate ABR CBR VBR Display resolution Frame Frame rate Frame types Interlace Video
BGZF
"Investors Pepper Peru's Money Man With Questions About His Boss". Bloomberg L.P. 23 September 2021. Archived from the original on 26 September 2021. Retrieved
Presidency_of_Pedro_Castillo
American information technology corporation
models of ProBooks and EliteBooks. HP replied that it is investigating problems. HP CEO Enrique Lores said in a press conference that the company plans
HP_Inc.
Turbofan aircraft engine
comprises a 48 in (120 cm) diameter single-stage fan, driven by a two-stage LP turbine, and a ten-stage HP compressor (scaled from the V2500 unit) driven
Rolls-Royce_BR700
Catalog of published recordings by The Beach Boys
Beach Boys". British Phonographic Industry. Retrieved December 13, 2024. Type Beach Boys in the "Search:" field. "ARIA Charts – Accreditations – 1990 Albums"
The_Beach_Boys_discography
American musician (1962–2010)
Up on Biohazard LP". MTV. Archived from the original on July 13, 2001. Retrieved April 24, 2010. Haack, Melanie (October 2, 2003). "Type O Negative interview
Peter_Steele
Integral transform and linear operator
Hilbert in this setting, to solve a special case of the Riemann–Hilbert problem for analytic functions. The Hilbert transform of u can be thought of as
Hilbert_transform
1976 studio album by AC/DC
international LP release. "Rocker" originally appeared on the Australian T.N.T. in a slightly longer version without the fade-out. "Problem Child" was included
Dirty_Deeds_Done_Dirt_Cheap
output could be the profit obtained. An optimization problem, (in this case a minimization problem), can be represented in the following way: Given: a
List_of_optimization_software
Numerical method for solving physical or engineering problems
differential equations arising in engineering and mathematical modeling. Typical problem areas of interest include the traditional fields of structural analysis
Finite_element_method
Form of diabetes mellitus
Type 1 diabetes (T1D), or type 1 diabetes mellitus, is an autoimmune disease that occurs when the body's immune system destroys beta cells in the pancreas
Type_1_diabetes
High-thrust turbofan jet engine
duct between the high pressure (HP) turbine outlet and the low pressure (LP) turbine inlet was altered to set the operating line of the compressor, turbine
General_Electric_GE9X
Algebraic modeling language
solve high-complexity problems for large-scale mathematical computing (e.g. large-scale optimization and scheduling-type problems). It was developed by
AMPL
American alternative investment company
acquired medical biller Emdeon for $3 billion. In late 2011, Blackstone Group LP acquired Jack Wolfskin, a German camping equipment company. In 2017, the company
Blackstone_Inc.
Largest Civilian Rotorcraft Manufactured by Airbus Helicopters
H225 operators, claiming that the type had been sold in a defective state due to the flaw being "inherent". EC225 LP An improved variant of the AS332 L2
Eurocopter_EC225_Super_Puma
Disc-shaped analog sound storage medium
the Columbia 12-inch LP would be the album of choice. The first release of the 45 came in seven colors, based on the genre/type of music featured on the
Phonograph_record
Area of mathematical analysis
fractional integral operators are used to prove Sobolev-type inequalities, including embeddings between Lp spaces and spaces of weakly differentiable functions
Harmonic_analysis
Case or other packaging used to protect optical discs
spindle, hub or tray, essentially a combination of a digipak and mini LP sleeve. This type of packaging is usually handmade and is not seen very often. JakeBox
Optical_disc_packaging
Probabilistic problem-solving algorithm
use randomness to solve deterministic problems. Monte Carlo methods are mainly used in three distinct problem classes: optimization, numerical integration
Monte_Carlo_method
certifications – Dollar". British Phonographic Industry. Retrieved 18 June 2022. Type Dollar in the "Search:" field. Kent, David (1993). Australian Chart Book
Dollar_discography
Los Angeles-based girl group
June 29, 2025. Caulfield, Keith (July 6, 2025). "Morgan Wallen's 'I'm the Problem' No. 1 for Seventh Week on Billboard 200". Billboard. Archived from the
Katseye
1978 studio album by AC/DC
markets, and this practice continued with Powerage, although it was the first LP to be released nearly simultaneously in both Australian and international
Powerage
American rapper (born 1989)
Stream, Cover Art & Tracklist". HipHopDX. "The Game - Roped Off Feat. Problem & Boogie (Prod. By League Of Starz)". HotNewHipHop. May 16, 2016. Retrieved
Westside_Boogie
2001 studio album by Michael Jackson
Hiatt, Brian (December 21, 2000). "Michael Jackson Nearing Completion Of New LP". MTV. Viacom. Archived from the original on June 19, 2010. Retrieved April
Invincible (Michael Jackson album)
Invincible_(Michael_Jackson_album)
11 November 2023. Durieux, Arnaud. "AC/DC Discography: Powerage (European LP)". ac-dc.net. Archived from the original on 24 December 2016. Retrieved 11
AC/DC_discography
XXL Mag. Retrieved April 1, 2024. Keith, James (March 2024). "Skrapz's New LP, 'Reflection', Is An Essential Listen". Complex. Retrieved March 9, 2024.
2024_in_hip-hop
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
Type of neurofibromatosis disease
Suarez-Kelly LP, Yu L, Kline D, Schneider EB, Agnese DM, Carson WE (2019-03-25). "Increased breast cancer risk in women with neurofibromatosis type 1: a meta-analysis
Neurofibromatosis_type_I
Partially unsolved problem in mathematics
(1976), "On the invariant subspace problem in Banach spaces", Séminaire Maurey--Schwartz (1975--1976) Espaces Lp, applications radonifiantes et géométrie
Invariant_subspace_problem
Japanese animation studio
insider knowledge of Sunrise Studio's internal affairs and structural problems. This corporate culture has served as a major lesson for the then-new anime
Sunrise_(studio)
American singer (born 1943)
2018. BPI – Certified Awards Archived July 10, 2017, at the Wayback Machine Type "Toni Basil" in search box Wikiquote has quotations related to Toni Basil
Toni_Basil
Appointments made by King Charles III
Rosanne Wiseman (Jemma Read). Global Head of Corporate Philanthropy, Bloomberg LP. For services to Philanthropy. Gillian Ann Worgan. Principal and Chief Executive
2025_Birthday_Honours
1968 studio album by the Beatles
English rock band the Beatles, released on 22 November 1968, and their first LP issued on Apple. Featuring a plain white sleeve, the cover contains no graphics
The_Beatles_(album)
Steam engine where steam is expanded in stages
two basic types, according to how HP and LP piston strokes are phased and hence whether the HP exhaust is able to pass directly from HP to LP (Woolf compounds)
Compound_steam_engine
Reconciles With Ex-Strategist Steve Bannon in Talks on Election". Bloomberg L.P. Retrieved January 15, 2021. Dawsey, Josh; Alemany, Jacqueline; Swaine, Jon;
Attempts to overturn the 2020 United States presidential election
Attempts_to_overturn_the_2020_United_States_presidential_election
2004 single by Jay-Z
unbelievable. I've got 99 problems and now Jay-Z is one." Eminem referenced the lyrics in his track "So Much Better" on The Marshall Mathers LP 2 album, with the
99_Problems
Medical condition
puncture (LP) with removal of 30–50 ml of CSF. Gait and cognitive function are typically tested just before and within 2–3 hours after the LP to assess
Normal_pressure_hydrocephalus
American rapper (born 1993)
Best Rap Album at the 59th Annual Grammy Awards, while its single "No Problem" (featuring 2 Chainz and Lil Wayne) won Best Rap Performance. His debut
Chance_the_Rapper
American football player and commentator (born 1977)
owner Robert Kraft are set for a wipeout from FTX's implosion". Bloomberg L.P. Retrieved January 10, 2023. "Tom Brady says his dog is a clone of family's
Tom_Brady
American social media company (2006–2023)
With an Adviser on Potential Twitter Bid". Bloomberg Markets. Bloomberg L.P. Archived from the original on May 4, 2017. Retrieved April 23, 2017. Roof
Twitter,_Inc.
optimization problems: General nonlinear problems (NLP), including non-convex Systems of nonlinear equations Linear problems (LP) Quadratic problems (QP/QCQP/SOCP)
Artelys_Knitro
American heavy metal band
Rat Music for Rat People 3 LP (1987, CD Presents Records, "Bound") Clerks soundtrack LP (1994, Columbia Records, "Big Problems") Nativity in Black: A Tribute
Corrosion_of_Conformity
Disorder in which muscles fail to relax
Koch MC, Beilman GJ, Harrison AR, Dalton JC, Ranum LP (February 2003). "Myotonic dystrophy type 2: molecular, diagnostic and clinical spectrum". Neurology
Myotonic_dystrophy
Topic in comparative religion
Western uses of these bowls as meditative sound instruments appears on the LP Tibetan Bells (1972) by Henry Wolff and Nancy Hennings, who combined friction-played
Western esotericism and Eastern religions
Western_esotericism_and_Eastern_religions
Galatasaray 2025–26 football season
End of contract First team 30 June 2025 1 GK Fernando Muslera Estudiantes (LP) End of contract First team 30 June 2025 10 FW Dries Mertens Retired End of
2025–26 Galatasaray S.K. season
2025–26_Galatasaray_S.K._season
Line of CPUs produced by Intel
may require cleanup to meet Wikipedia's quality standards. The specific problem is: This article should not contain full lists of every individual CPU
Intel_Core
Geared turbofan engine produced beginning 2007
MTU and FiatAvio but not Rolls-Royce, and possibly with Volvo and MHI. Its LP turbine ran at 9,160 rpm, reduced by 3:1 for a 3,250 rpm fan having a 1,050 ft/s
Pratt_&_Whitney_PW1000G
1892 music hall song by Harry Dacre
recording of "Daisy Bell" as part of his Those Lazy-Hazy-Crazy Days of Summer LP for Capitol Records in 1961. On May 3, 2014, an album was released composed
Daisy_Bell
Human sleep disorder
quality of sleep. There are two recognized forms of narcolepsy: type 1 and type 2. Narcolepsy type 1 features EDS with either cataplexy or cerebrospinal fluid
Narcolepsy
Largest city in Texas, United States
Gray, Nolan (September 4, 2017). "Houston's Zoning Wasn't the Problem". Bloomberg L.P. Retrieved March 16, 2024. @SylvesterTurner (August 30, 2017).
Houston
British rock musician and songwriter (1946–1991)
"Freddie Mercury Auction Smashes Estimates, Netting $50.4 Million". Bloomberg L.P. Archived from the original on 3 March 2024. Retrieved 28 October 2023. Blake
Freddie_Mercury
Movement disorders that appear in early childhood
countries, cerebral palsy is more prevalent. Sub-types are classified, based on the specific problems present. For example, those with stiff muscles have
Cerebral_palsy
Mass killing of protesters in Iran
"Iran's Supreme Leader Concedes Thousands Killed In Unrest". Bloomberg L.P. Retrieved 28 February 2026. "Iran warns against any US strike as judiciary
2026_Iran_massacres
Type of railroad steam engine
basic types can be defined, according to how HP and LP piston strokes are phased and hence whether the HP exhaust is able to pass directly from HP to LP (Woolf
Compound_locomotive
2026 studio album by BTS
2026. You-mee, Hwang (March 26, 2026). "BTS dominates Oricon charts with 5th LP". The Korea Herald. Retrieved April 30, 2026. Jung-joo, Lee (April 28, 2026)
Arirang_(album)
Winners of satirical science award
1111/j.1365-2133.1990.tb06265.x. PMID 2369557. S2CID 6343521. Williams Jr, LP; Newell, KW (1970). "Salmonella excretion in joy-riding pigs". American Journal
List of Ig Nobel Prize winners
List_of_Ig_Nobel_Prize_winners
Canadian narrow-body airliner family
A220-100 (formerly CS100) first flew on 16 September 2013, received an initial type certificate from Transport Canada on 18 December 2015, and entered service
Airbus_A220
Sedating antihistamine
and strongly cautioned against in children between two and six, due to problems with respiratory depression and sleep apnea. Promethazine is listed as
Promethazine
2025 studio album by Olivia Dean
September 2025 via Capitol Records and Polydor Records, issued through CD, vinyl LP, cassette, and digital formats. The album's lead single, "Nice to Each Other"
The_Art_of_Loving_(album)
Numerical software
10.0, can run its first order LP solver on NVIDIA GPUs. HiGHS is designed to solve large-scale models and exploits problem sparsity. Its performance relative
HiGHS_optimization_solver
1974 studio album by Rush
LP, catalogue number MN-100, were pressed. The promotional version of the LP has a cream-coloured label with a blue Moon Records logo and black type.
Rush_(Rush_album)
American actress and singer (born 1948)
these cast albums have won Grammy Awards. Peters's debut album in 1980 (an LP), titled Bernadette Peters contained 10 songs, including "If You Were the
Bernadette_Peters
LP TYPE-PROBLEM
LP TYPE-PROBLEM
Girl/Female
Muslim
Type of flower
Surname or Lastname
Scottish
Scottish : reduced form of McIntyre.English : variant spelling of Tyer.
Boy/Male
Hindu, Indian
Type of Liquid
Girl/Female
Danish, German, Swedish
A City in Phoenicia
Boy/Male
Biblical Latin
Strength; rock; sharp.
Male
Danish
, a female dog; or, the mad, raging.
Surname or Lastname
English (Devon)
English (Devon) : unexplained.
Surname or Lastname
English (mainly East Anglia)
English (mainly East Anglia) : topographic name for someone who lived by a common pasture, Middle English tye (Old English tēag).North German : from a short form, Tide, of the personal name Dietrich.
Male
English
English surname transferred to forename use, derived from the Middle English word tye, TYE means "pasture."
Boy/Male
Sikh
Ok type person
Girl/Female
Indian
Type of flower
Girl/Female
Christian & English(British/American/Australian)
River
Girl/Female
American, British, English, Jamaican
A River in England; River
Girl/Female
English
River.
Girl/Female
Tamil
Anemone | அநேமோநே
Type of flower
Anemone | அநேமோநே
Girl/Female
Arabic, Muslim, Pashtun
Type of Flower
Boy/Male
English French
Fiery.
Male
Danish
, a female dog; or, the mad, raging.
Girl/Female
Indian, Telugu
Type of Music
Surname or Lastname
Irish
Irish : reduced Anglicized form of Gaelic Ó Teimhin ‘descendant of Teimhean’, from teimhean ‘dark’, an adjective from teimhe ‘dusk’, ‘darkness’.English : probably a habitational name for someone from Tyneside in northeast England.
LP TYPE-PROBLEM
LP TYPE-PROBLEM
Male
Hebrew
(×’Ö¼Ö´× Ö¼Ö¸×”) Hebrew unisex name GINA means "garden." Compare with strictly feminine forms of Gina.
Boy/Male
Biblical
Pure, clean, just.
Female
Egyptian
, Hathor-set-dsjatho.
Boy/Male
Hindu
Dark blue, Black, A name of Lord Krishna
Boy/Male
Indian, Tamil
Calling Himself
Girl/Female
English
The flower.
Boy/Male
Hindu, Indian, Sanskrit
Son of Dharma; Another Name for Yudhisthira
Girl/Female
Arabic, Muslim
Feminine Form of Rizwan
Boy/Male
Muslim
Beloved, A prophets name David
Female
Egyptian
, a royal priestess.
LP TYPE-PROBLEM
LP TYPE-PROBLEM
LP TYPE-PROBLEM
LP TYPE-PROBLEM
LP TYPE-PROBLEM
n.
Form or character impressed; style; semblance.
n.
Such letters or characters, in general, or the whole quantity of them used in printing, spoken of collectively; any number or mass of such letters or characters, however disposed.
v. t.
To furnish an expression or copy of; to represent; to typify.
n.
A tapeline; also, a metallic ribbon so marked as to serve as a tapeline; as, a steel tape.
n.
That which possesses or exemplifies characteristic qualities; the representative.
n.
The original object, or class of objects, scene, face, or conception, which becomes the subject of a copy; esp., the design on the face of a medal or a coin.
n.
A single type; type, collectively; a style of type.
a.
Relating to a type or types; belonging to types; serving as a type; typical.
n.
A combining form signifying impressed form; stamp; print; type; typical form; representative; as in stereotype phototype, ferrotype, monotype.
v. t.
To represent by a type, model, or symbol beforehand; to prefigure.
n.
In the antler of a stag, the third tyne above the base. This tyne appears in the third year. In those deer in which the brow tyne does not divide, the tres-tyne is the second tyne above the base. See Illust. under Rucervine, and under Rusine.
n.
A raised letter, figure, accent, or other character, cast in metal or cut in wood, used in printing.
n.
The mark or impression of something; stamp; impressed sign; emblem.
v. t.
To arrange (types) in a composing stick in order for printing; to set (type).
n.
A simple compound, used as a mode or pattern to which other compounds are conveniently regarded as being related, and from which they may be actually or theoretically derived.
n.
A narrow fillet or band of cotton or linen; a narrow woven fabric used for strings and the like; as, curtains tied with tape.
n.
A general form or structure common to a number of individuals; hence, the ideal representation of a species, genus, or other group, combining the essential characteristics; an animal or plant possessing or exemplifying the essential characteristics of a species, genus, or other group. Also, a group or division of animals having a certain typical or characteristic structure of body maintained within the group.
imp. & p. p.
of Type
n.
A grove or clump of trees; as, a toddy tope.
n.
A figure or representation of something to come; a token; a sign; a symbol; -- correlative to antitype.