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Philosophical concept
problem of consciousness The problems of consciousness, Chalmers argues, are of two kinds: the easy problems and the hard problem. The easy problems are
Hard_problem_of_consciousness
Complexity class
Class of decision problems which contains the hardest problems in NP. Each NP-complete problem has to be in NP. NP-easy At most as hard as NP, but not necessarily
NP-hardness
Topics referred to by the same term
Hard problem may refer to: The Hard Problem, a 2015 play by Tom Stoppard Hard problems, in computational complexity theory Hard problem of consciousness
Hard_problem
2015 play by Tom Stoppard
The Hard Problem is a play by Tom Stoppard, first produced in 2015. The title refers to the hard problem of consciousness, which Stoppard defines as having
The_Hard_Problem
Unsolved problem in computer science
problem in NP. NP-hard problems are those at least as hard as NP problems; i.e., all NP problems can be reduced (in polynomial time) to them. NP-hard
P_versus_NP_problem
Optimization problem in computer science
lattice problems are a class of optimization problems related to mathematical objects called lattices. The conjectured intractability of such problems is central
Lattice_problem
NP-hard problem in combinatorial optimization
of attack for the NP-hard problems are the following: Devising exact algorithms, which work reasonably fast only for small problem sizes. Devising "suboptimal"
Travelling_salesman_problem
NP-complete problem in computer science
is NP-hard, but can be solved efficiently in practice. The partition problem is a special case of two related problems: In the subset sum problem, the
Partition_problem
2014 studio album by Miyuki Nakajima
Hard Problems (問題集, Mondaishū) is the 40th studio album by Japanese singer-songwriter Miyuki Nakajima, released in 2014. The album contained the single
Hard_Problems
Subfield of mathematical optimization
minimization problems) or a cost at least 1 / c {\displaystyle 1/c} of the optimal cost (for maximization problems). In Hromkovič's book Algorithms for Hard Problems
Combinatorial_optimization
Observation that perception requires more computation than reasoning
of thirty-five years of AI research is that the hard problems are easy and the easy problems are hard". By the 2020s, in accordance with Moore's law,
Moravec's_paradox
Branch of computational complexity theory
otherwise NP-hard, problems is considered unlikely, if input parameters are not fixed; all known solving algorithms for these problems require time that
Parameterized_complexity
Class of algorithms that find approximate solutions to optimization problems
algorithms that find approximate solutions to optimization problems (in particular NP-hard problems) with provable guarantees on the distance of the returned
Approximation_algorithm
This is a list of some of the major problems in philosophy. A counterfactual statement is a conditional statement with a false antecedent. For example
List of philosophical problems
List_of_philosophical_problems
View that mind is a ubiquitous feature of reality
associated with the rise of logical positivism. Recent interest in the hard problem of consciousness and developments in the fields of neuroscience, psychology
Panpsychism
Artificial intelligence (AI) program
AlphaGeometry is an artificial intelligence (AI) program that can solve hard problems in Euclidean geometry. The system comprises a data-driven large language
AlphaGeometry
Unsolved problem in computational complexity theory
Unsolved problem in computer science Can the graph isomorphism problem be solved in polynomial time? More unsolved problems in computer science The graph
Graph_isomorphism_problem
Hypothesis in computational complexity theory
quantum computers, factoring and discrete log problems are easy, but lattice problems are conjectured to be hard. This makes some lattice-based cryptosystems
Computational hardness assumption
Computational_hardness_assumption
Methodic assignment of colors to elements of a graph
Vertex coloring is often used to introduce graph coloring problems, since other coloring problems can be transformed into a vertex coloring instance. For
Graph_coloring
Philosophical position on the mind-body problem
philosophical position proposing that the hard problem of consciousness cannot be resolved by humans. The unresolvable problem is how to explain the existence of
New_mysterianism
Inherent difficulty of computational problems
the set of problems that are hard for NP is the set of NP-hard problems. If a problem X {\displaystyle X} is in C {\displaystyle C} and hard for C {\displaystyle
Computational complexity theory
Computational_complexity_theory
NP-hard problem in combinatorial optimization
The ring star problem (RSP) is a NP-hard problem in combinatorial optimization. In a complete weighted mixed graph, the ring star problem aims to find
Ring_star_problem
Irish actor
National Theatre in January 2015 to play Spike in Sir Tom Stoppard's The Hard Problem, which ran until 17 May 2015 and also had a worldwide broadcast via NT
Damien_Molony
Mathematical problem in operations research
optimization problem in mathematics that arises from applications in industry. In terms of computational complexity, the problem is an NP-hard problem reducible
Cutting_stock_problem
Combinatorial optimization problem
The quadratic assignment problem (QAP) is one of the fundamental combinatorial optimization problems in the branch of optimization or operations research
Quadratic_assignment_problem
Combinatorial optimization problem
k-center problem or vertex k-center problem is a classical combinatorial optimization problem studied in theoretical computer science that is NP-hard. Given
Metric_k-center
In theoretical computer science, the closest string is an NP-hard computational problem, which tries to find the geometrical center of a set of input strings
Closest_string
mathematical problems, but on an ad-hoc constructions, in which the bits of the message are mixed to produce the hash. These are then believed to be hard to break
Security of cryptographic hash functions
Security_of_cryptographic_hash_functions
Theory within consciousness research
inevitable existence of consciousness) eventually runs into the so-called "hard problem". Rather than try to start from physical principles and arrive at consciousness
Integrated_information_theory
Problem of finding the best feasible solution
found. They can include constrained problems and multimodal problems. In the context of an optimization problem, the search space refers to the set of
Optimization_problem
Awareness of internal and external existence
understanding P-consciousness is much more challenging: he calls this the hard problem of consciousness. Some philosophers believe that Block's two types of
Consciousness
Problem that is difficult or impossible to solve
to solve one aspect of a wicked problem may reveal or create other problems. Due to their complexity, wicked problems are often characterized by organized
Wicked_problem
Water that has a high mineral content
and sulfates. Drinking hard water may have moderate health benefits due to the mineral content. It can pose critical problems in industrial settings,
Hard_water
Unrelated vertices in graphs
. The optimization problem of finding such a set is called the maximum independent set problem. It is a strongly NP-hard problem. As such, it is unlikely
Independent set (graph theory)
Independent_set_(graph_theory)
Type of computational problem
possible to define FNP-hard problems analogous to NP-hard problems: A problem R {\displaystyle R} is FNP-hard if every problem in FNP can be reduced to
Function_problem
23 mathematical problems stated in 1900
Hilbert's problems are 23 problems in mathematics published by German mathematician David Hilbert in 1900. They were all unsolved at the time, and several
Hilbert's_problems
Australian philosopher and cognitive scientist (born 1966)
distinction between "easy" problems of consciousness, such as explaining object discrimination or verbal reports, and the single hard problem, which could be stated
David_Chalmers
Process of achieving a goal by overcoming obstacles
classification of problem-solving tasks is into well-defined problems with specific obstacles and goals, and ill-defined problems in which the current
Problem_solving
Problem of communication when asking for help
(X) rather than the root problem itself (Y). The XY problem obscures the real issues and may even introduce secondary problems that lead to miscommunication
XY_problem
Thought experiment in philosophy
against forms of physicalism and in defense of the hard problem of consciousness, which is the problem of accounting in physical terms for subjective, intrinsic
Philosophical_zombie
Conscious event, perception or practical knowledge
theories. In metaphysics, experience is involved in the mind–body problem and the hard problem of consciousness, both of which try to explain the relation between
Experience
2021 book by Anil Seth
Seth's position on the hard problem of consciousness to fall in the middle between the two positions of either finding the hard problem to be meaningful or
Being You: A New Science of Consciousness
Being_You:_A_New_Science_of_Consciousness
1988 film by John McTiernan
Die Hard is a 1988 American action film directed by John McTiernan and written by Jeb Stuart and Steven E. de Souza, based on the 1979 novel Nothing Lasts
Die_Hard
Node labeling problem in graph theory
special cases of the quadratic bottleneck assignment problem. The bandwidth problem is NP-hard, even for some special cases. Regarding the existence
Graph_bandwidth
Ability to make choices voluntarily
some, "Intricately related to the hard problem of consciousness, the hard problem of free will represents the core problem of conscious free will: Does conscious
Free_will
Optimizing objective functions that have constrained variables
under which simple problems may be solvable. If the objective function and all of the hard constraints are linear and some hard constraints are inequalities
Constrained_optimization
Model of consciousness
Elitzur's 1997 paper summarized that while GWT "does not address the 'hard problems,' namely, the very nature of consciousness, it constrains any theory
Global_workspace_theory
Intelligence of machines
Chalmers identified two problems in understanding the mind, which he named the "hard" and "easy" problems of consciousness. The easy problem is understanding
Artificial_intelligence
Combinatorial optimization problem
problem with a wide range of applications from finance and economics to machine learning. QUBO is an NP hard problem, and for many classical problems
Quadratic unconstrained binary optimization
Quadratic_unconstrained_binary_optimization
Minimum-cost tree with exactly k vertices
this tree is NP-hard, but it can be approximated to within a constant approximation ratio in polynomial time. The input to the problem consists of an undirected
K-minimum_spanning_tree
problems. Available algorithms include but are not limited to brute force, linearization, and convex reformulation. Just like other NP-hard problems,
Quadratic_knapsack_problem
Subset of a graph's vertices, including at least one endpoint of every edge
graph. In computer science, the problem of finding a minimum vertex cover is a classical optimization problem. It is NP-hard, so it cannot be solved by a
Vertex_cover
Problem in combinatorial optimization
The traveling purchaser problem (TPP) is an NP-hard problem studied in operations research and theoretical computer science. Given a list of marketplaces
Traveling_purchaser_problem
Scientific mnemonic diagram
is "Valid Facts and Theoretical Understanding Generate Solutions to Hard Problems", which gives the letter in the normal left-to-right writing direction
Thermodynamic_square
Optimization problem in mathematics
packed in a given large rectangle. The decision problem of whether such a packing exists is NP-hard. This can be proved by a reduction from 3-partition
Rectangle_packing
On domino tiling after removing two corners
Hogg, David C. (eds.), From Animals to Robots and Back: Reflections on Hard Problems in the Study of Cognition, A Collection in Honour of Aaron Sloman, Cognitive
Mutilated_chessboard_problem
Method for problem solving in optimization
heuristic method for solving computationally hard optimization problems. Local search can be used on problems that can be formulated as finding a solution
Local_search_(optimization)
(QPTASs) for various problems such as Travelling Salesman (TSP), Steiner Tree, k-Median, and Facility Location. For clustering problems such as k-Median,
Highway_dimension
Seven mathematical problems with a US$1 million prize for each solution
The Millennium Prize Problems are seven well-known complex mathematical problems selected by the Clay Mathematics Institute in 2000. The Clay Institute
Millennium_Prize_Problems
Decision problem in computer science
491. ISBN 0-321-37291-3. Goodrich, Michael. "More NP complete and NP hard problems" (PDF). Archived (PDF) from the original on 2022-10-09. Garey, Michael
Subset_sum_problem
Problem in cryptography
motivation for this problem is that many security systems use one-way functions: mathematical operations that are fast to compute, but hard to reverse. For
Diffie–Hellman_problem
of the maximum number of satisfiable clauses of φ. Because the NP-hard k-SAT problem (for k ≥ 3) is equivalent to determining if the corresponding MAXEkSAT
MAXEkSAT
Hajo (2005), "A general framework for coloring problems: old results, new results, and open problems" (PDF), Combinatorial geometry and graph theory
Radio_coloring
Open question in philosophy of how abstract minds interact with physical bodies
because consciousness has yet to be shown to be a process, and the "hard problem" of relating consciousness directly to brain activity remains elusive
Mind–body_problem
Class of metaphysical theories in the philosophy of mind
mind–body problem and the hard problem of consciousness. The mind–body problem is the problem of explaining how mind relates to matter. The hard problem is a
Neutral_monism
1982 studio album by the Who
several songs, correcting problems evident in the original mixes for "Athena" and "Eminence Front". In 1994, Daltrey said "It's Hard should never have been
It's_Hard
number of equations. This problem is closely related to the MAX-3SAT problem. It is NP-hard to approximate MAX-3LIN-EQN with ratio (1/2 + δ) for any δ > 0.
MAX-3LIN-EQN
1995 film by John McTiernan
John McClane. It is the sequel to Die Hard (1988) and Die Hard 2 (1990) and the third installment in the Die Hard film series. The film also stars Jeremy
Die_Hard_with_a_Vengeance
American actor (born 1978)
Records The Hard Problem By Tom Stoppard At UCLA". BroadwayWorld. Retrieved November 16, 2019. Cahill, Eddie (November 11, 2019). "The Hard Problem by Tom
Eddie_Cahill
variables is as small as possible. The problem is known to be NP-hard and even hard to approximate. A Min-RVLS problem is defined by: A binary relation R
Minimum relevant variables in linear system
Minimum_relevant_variables_in_linear_system
Cryptographic primitives that involve lattices
lattice problems, and Cynthia Dwork showed that a certain average-case lattice problem, known as short integer solutions (SIS), is at least as hard to solve
Lattice-based_cryptography
Operations research problem, paradigm of constrained scheduling problems
solutions. Solutions to the nurse scheduling problem can be applied to constrained scheduling problems in other fields. While research on computer-assisted
Nurse_scheduling_problem
Problem in computer science
Problems: Set Cover, Vertex Cover, Independent Set, and Related Problems". In Hochbaum, Dorit S. (ed.). Approximation Algorithms for NP-Hard Problems
Maximum_coverage_problem
Annual high school maths competition
contest takes place over two days, and consists of six problems (three given on each day). The problems are extremely difficult, and may include topics not
International Mathematical Olympiad
International_Mathematical_Olympiad
Type of AI with wide-ranging abilities
AGI developers before the test is administered. A problem is informally called "AI-complete" or "AI-hard" if it is believed that AGI would be needed to solve
Artificial general intelligence
Artificial_general_intelligence
Point set triangulation minimizing total length
way as to minimize the sum of the perimeters of the triangles. The problem is NP-hard for point set inputs, but may be approximated to any desired degree
Minimum-weight_triangulation
Combinatorial reconfiguration problem
transformed into each other by a sequence of steps. The proof that these problems are hard involves a reduction from quantified Boolean formulas, based on the
Nondeterministic constraint logic
Nondeterministic_constraint_logic
Complexity class
theory, NP-complete problems are the hardest of the problems to which solutions can be verified quickly. Somewhat more precisely, a problem is NP-complete
NP-completeness
Notion of the "hardest" or "most general" problem in a complexity class
many difficult-to-solve problems that arise in practice. Similarly, a problem hard for a class C is called C-hard, e.g. NP-hard. Normally, it is assumed
Complete_(complexity)
Subfield of automated reasoning and mathematical logic
many hard problems, even in models that are not fully described by any first-order theory (such as the integers). A simpler, but related, problem is proof
Automated_theorem_proving
Sequence of operations for a task
solution. Such algorithms have practical value for many hard problems. For example, the Knapsack problem, where there is a set of items, and the goal is to
Algorithm
Task of computing complete subgraphs
equally well to either problem, and some research papers do not clearly distinguish between the two problems. However, the two problems have different properties
Clique_problem
Inability to describe conscious experiences in solely physical or structural terms
explanation for experience and qualia) is known as "the hard problem". The hardness of the problem is such that mysterians believe it can never be solved
Explanatory_gap
Problem in computational complexity theory
Mitchell, Joseph S. B.; O'Rourke, Joseph (July 2005), "Problem 11: 3SUM Hard Problems", The Open Problems Project, retrieved 2008-09-02{{citation}}: CS1 maint:
3SUM
English actress
centre stage again at National Theatre Live in Tom Stoppard's play The Hard Problem as Hilary. In 2015, Vinall was nominated for Best Supporting Performance
Olivia_Vinall
Computational problem used in cryptography
constant c > 0 {\displaystyle c>0} ) is hard in the worst case. Average case problems are the problems that are hard to be solved for some randomly selected
Short integer solution problem
Short_integer_solution_problem
and NP-hard problems, including the travelling salesman problem, graph coloring, maximum clique problem, and minimal vertex cover. These problems are only
Disjunctive_Datalog
Number divisible only by 1 and itself
Hromkovič, Juraj (2001). "5.5 Bibliographic Remarks". Algorithmics for Hard Problems. Texts in Theoretical Computer Science. An EATCS Series. Springer-Verlag
Prime_number
Thought experiment on artificial intelligence
such questions as the mind–body problem, the problem of other minds, the symbol grounding problem, and the hard problem of consciousness. Searle identified
Chinese_room
interpretation of dreams. Knowing the brain basis of consciousness reduces the Hard problem of consciousness in a significant way while the provision of an alternative
Dream_consciousness
Type of computational problem
In combinatorics and computer science, covering problems are computational problems that ask whether a certain combinatorial structure 'covers' another
Covering_problems
Cryptography secured against quantum computers
problems: the integer factorization problem, the discrete logarithm problem, or the elliptic-curve discrete logarithm problem. All of these problems could
Post-quantum_cryptography
Electro-mechanical data storage device
A hard disk drive (HDD), hard disk, hard drive, or fixed disk is an electro-mechanical computer data storage device that stores and retrieves digital data
Hard_disk_drive
Class of computational complexity
Unsolved problem in computer science P = ? P S P A C E {\displaystyle {\mathsf {P{\overset {?}{=}}PSPACE}}} More unsolved problems in computer science
PSPACE
Hard landscape materials in the built environment structures
through hard landscaping, coupled with hard materials that safely move water away from the property can ensure that soil movement is never a problem and that
Hardscape
Type of randomized algorithm
solution is complex. Systematic search methods for computationally hard problems, such as some variants of the Davis–Putnam algorithm for propositional
Las_Vegas_algorithm
American inventor of algorithmic probability and artificial intelligence researcher
goal in artificial intelligence: to develop a machine that could solve hard problems using probabilistic methods. Ray Solomonoff was born on July 25, 1926
Ray_Solomonoff
Many mathematical problems have been stated but not yet solved. These problems come from many areas of mathematics, such as theoretical physics, computer
List of unsolved problems in mathematics
List_of_unsolved_problems_in_mathematics
Problem in computer science
above argument is a reduction of the halting problem to PHS recognition, and in the same manner, harder problems such as halting on all inputs can also be
Halting_problem
Problem a computer might be able to solve
solving a given problem will require, and explain why some problems are intractable or undecidable. Solvable computational problems belong to complexity
Computational_problem
HARD PROBLEMS
HARD PROBLEMS
Surname or Lastname
English (chiefly Yorkshire and Northumbria), also Scottish
English (chiefly Yorkshire and Northumbria), also Scottish : variant spelling of Heard.
Surname or Lastname
English
English : from the possessive case of the personal name Hard, denoting a son or servant of someone called Hard.
Surname or Lastname
English
English : variant of Herd.Respelling of Swedish HÃ¥rd (see Hard 2).
Surname or Lastname
English and North German
English and North German : from a personal name or nickname meaning ‘stag’, Middle English hert, Middle Low German hërte, harte.German : variant spelling of Hardt 1 and 2.Jewish (Ashkenazic) : ornamental name or a nickname from German and Yiddish hart ‘hard’.Irish : Anglicized form of Gaelic Ó hAirt ‘descendant of Art’, a byname meaning ‘bear’, ‘hero’. The English name became established in Ireland in the 17th century.French : from an Old French word meaning ‘rope’, hence possibly a metonymic occupational name for a rope maker or a hangman.Dutch : nickname from Middle Dutch hart, hert ‘hard’, ‘strong’, ‘ruthless’, ‘unruly’.This name was brought independently to New England by many bearers from the 17th century onward. Stephen Hart was one of the founders of Hartford, CT, (coming from Cambridge, MA, with Thomas Hooker) in 1635.
Surname or Lastname
English and German
English and German : nickname for someone with a deformed hand or who had lost one hand, from Middle English hand, Middle High German hant, found in such appellations as Liebhard mit der Hand (Augsburg 1383).Jewish (Ashkenazic) : nickname from German Hand ‘hand’ (see 1).Irish : Anglicized form of Gaelic Ó Flaithimh (see Guthrie), resulting from an erroneous association of the Gaelic name with the Gaelic word lámh ‘hand’. It is used as an English equivalent for several other names of Gaelic origin too, e.g. Claffey, Glavin, and McClave.Dutch : from a variant of hont ‘dog’, ‘hound’, either a derogatory nickname, or a habitational name for someone living at a house distinguished by the sign of a dog.
Male
German
Short form of German Harman, HARM means "bold/hardy man." In use by the Dutch.
Surname or Lastname
English
English : habitational name from Chard or South Chard in Somerset, recorded in Domesday Book as Cerdren, possibly from Old English ceart ‘rough heathland’ + ærn ‘building’, ‘dwelling’. In some instances the surname may have arisen simply as a topographic name from ceart.French : from the personal name Chard, a short form of Richard;French : habitational name for someone from Chard in the department of Creuse.
Surname or Lastname
English, Scottish, and French
English, Scottish, and French : nickname for a brave or
foolhardy man, from Old French, Middle English hardi ‘bold’,
‘courageous’ (of Germanic origin; compare Hard 1).Irish : in addition to being an importation of the English name,
this is also found as an Anglicized form (by partial translation) of
Gaelic Mac Giolla Deacair ‘son of the hard lad’.Scottish : variant spelling of Hardie 2.Bearers of the surname Hardy from Anjou and Normandy, France, are documented
in Quebec City in 1669. The secondary surnames Châtillon,
Male
English
 English occupational surname transferred to forename use, derived from Old English weard, WARD means "guard, watchman."Â
Surname or Lastname
English
English : from the Old English personal name Heard or a Norman cognate Hard(on), also of Germanic origin. This was a byname meaning ‘hardy’, ‘brave’, ‘strong’, but it also seems to have been used as a short form of the various compound names containing this as a first element. Occasionally this may also be a variant of Hardy.English, German, Dutch, and Swedish (Hård) : nickname for a stern or severe man, from Middle English, Middle Low German hard, Middle Dutch hart, hert, Swedish hård ‘hard’, ‘inflexible’. The Swedish name was probably originally a soldier’s name.English : topographic name for someone who lived on a patch of particularly hard ground or one that was difficult to farm. Compare Hardacre.Dutch : occupational name from Middle Dutch harde, herde ‘herder’.
Boy/Male
Hindu, Indian
Hearts Feelings
Boy/Male
Hindu
Hearts feeling, Main, Meaning
Male
Hindi/Indian
(हरि) Hindi name HARI means "he who takes away." In Hindu mythology, this is a name borne by Vishnu.
Surname or Lastname
English (chiefly Midlands)
English (chiefly Midlands) : variant spelling of Heard.
Male
English
Pet name for longer English names containing Hard- or Hart-, HARDY means "brave, hardy, strong."Â
Male
Japanese
(1-晴, 2-春, 3-陽) Japanese unisex name HARU means 1) "clear up," 2) "spring," or 3) "sun, sunlight." Compare with another form of Haru.
Surname or Lastname
English
English : variant of Heard.
Boy/Male
British, Danish, Dutch, English, Swedish
Hard Strength; Firm; Brave; Hardy; Strong
Female
Japanese
(1-晴, 2-春, 3-陽) Japanese unisex name HARU means 1) "clear up," 2) "spring," or 3) "sun, sunlight."
Boy/Male
American, Anglo, Arabic, Australian, British, Christian, English, German, Irish, Jamaican, Teutonic
Bard; Surname; Guardian; Watchman
HARD PROBLEMS
HARD PROBLEMS
Girl/Female
Tamil
Youthful, Spirited, Young
Girl/Female
Gujarati, Hindu, Indian
Warrior Arjuna
Boy/Male
Tamil
Most courageous among men, Most courageous among men
Biblical
the moon; month; smelling sweet
Boy/Male
Hindu, Indian, Marathi
The Moon
Boy/Male
Tamil
Musical
Boy/Male
Irish
Victory.
Girl/Female
Tamil
Panyasree | பநà¯à®¯à®·à¯à®°à¯€Â  Â
Beauty & goodness of the Moon
Male
Esperanto
Pet form of Esperanto Antono, possibly ANCHJO means "invaluable."Â
Boy/Male
Hindu, Indian
Lord of Money; Lord Kuber
HARD PROBLEMS
HARD PROBLEMS
HARD PROBLEMS
HARD PROBLEMS
HARD PROBLEMS
superl.
Not easily penetrated, cut, or separated into parts; not yielding to pressure; firm; solid; compact; -- applied to material bodies, and opposed to soft; as, hard wood; hard flesh; a hard apple.
superl.
Difficult to please or influence; stern; unyielding; obdurate; unsympathetic; unfeeling; cruel; as, a hard master; a hard heart; hard words; a hard character.
a.
Having hard hands, as a manual laborer.
superl.
Difficult to bear or endure; not easy to put up with or consent to; hence, severe; rigorous; oppressive; distressing; unjust; grasping; as, a hard lot; hard times; hard fare; a hard winter; hard conditions or terms.
adv.
With tension or strain of the powers; violently; with force; tempestuously; vehemently; vigorously; energetically; as, to press, to blow, to rain hard; hence, rapidly; as, to run hard.
a.
Of a harsh or stern countenance; hard-featured.
adv.
With difficulty; as, the vehicle moves hard.
superl.
Difficult to accomplish; full of obstacles; laborious; fatiguing; arduous; as, a hard task; a disease hard to cure.
superl.
Wanting softness or smoothness of utterance; harsh; as, a hard tone.
n.
The hard wing case of a beetle.
a.
Having hard or strong hands; as, a hard-fisted laborer.
v. t.
To confine (cattle) to the yard; to shut up, or keep, in a yard; as, to yard cows.
a. Vigorously
contested; as, a hard-fought battle.
v. t.
To harden; to make hard.
superl.
Rough; acid; sour, as liquors; as, hard cider.
a.
Hard-featured; ill-looking; as, Vulcan was hard-favored.
superl.
Difficult, mentally or judicially; not easily apprehended, decided, or resolved; as a hard problem.
n.
A plant; chard.
v. t.
To comb with a card; to cleanse or disentangle by carding; as, to card wool; to card a horse.
superl.
Not easy or agreeable to the taste; stiff; rigid; ungraceful; repelling; as, a hard style.