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Motivating example in mathematical study
The obstacle problem is a classic motivating example in the mathematical study of variational inequalities and free boundary problems. The problem is to
Obstacle_problem
Process of achieving a goal by overcoming obstacles
Problem solving is the process of achieving a goal by overcoming obstacles, a frequent part of most activities. Problems in need of solutions range from
Problem_solving
Type of partial differential equation
an arbitrary number of phases. Another famous free-boundary problem is the obstacle problem, which bears close connections to the classical Poisson equation
Free_boundary_problem
Object that blocks one's way or prevents or hinders progress
An obstacle (also called a barrier, impediment, or stumbling block) is an object, thing, action or situation that causes an obstruction. A obstacle blocks
Obstacle
2014 book by Ryan Holiday
us to be faced with an obstacle and lose our composure. He argues that by not remaining mentally composed, we make the problem larger and heavier upon
The_Obstacle_Is_the_Way
Problem of computing shortest paths around geometric obstacles
The Euclidean shortest path problem is a problem in computational geometry: given a set of polyhedral obstacles in a Euclidean space, and two points,
Euclidean_shortest_path
Italian mathematician (born 1984)
results by Luis Caffarelli on the structure of singular points in the obstacle problem. Figalli, Alessio (2008). Optimal transportation and action-minimizing
Alessio_Figalli
Series of physical obstacles, navigated for sport
physical training, building teamwork, and evaluating problem solving skills. Typical courses involve obstacles the participants must climb over, crawl under
Obstacle_course
Catalan mathematician (born 1988)
problem. J. Amer. Math. Soc. 37, 305-389. Figalli, A.; Ros-Oton, X.; Serra, J. (2020). Generic regularity of free boundaries for the obstacle problem
Xavier_Ros-Oton
Differential calculus on function spaces
analysis Ekeland's variational principle Inverse problem for Lagrangian mechanics Obstacle problem Perturbation methods Young measure Optimal control
Calculus_of_variations
Sports discipline
Obstacle course racing (OCR) is a sport in which a competitor, traveling on foot, must overcome various physical challenges in the form of obstacles. Races
Obstacle_course_racing
Smallest convex set containing a given set
of the convex hull. However, in higher dimensions, variants of the obstacle problem of finding a minimum-energy surface above a given shape can have the
Convex_hull
In number theory, a limitation of sieve theory
sieves that make the parity problem less of an obstacle. Terence Tao gave this "rough" statement of the problem: Parity problem. If A is a set whose elements
Parity_problem
Capability in robotics
make a decision about what it has to do to avoid an obstacle when it's moving too fast. This problem is very difficult to fix and if the machine can't act
Obstacle_avoidance
Millennium Prize Problem
The Navier–Stokes existence and smoothness problem concerns the mathematical properties of solutions to the Navier–Stokes equations, a system of partial
Navier–Stokes existence and smoothness
Navier–Stokes_existence_and_smoothness
NP-hard problem in combinatorial optimization
radicals is an obstacle to proving that its decision version is in NP, and therefore NP-complete. A discretized version of the problem with distances
Travelling_salesman_problem
Agency of the Indonesian government
resolutions on any national priority programs which encounter any obstacle/problem/dispute; To manage strategic issues; To manage communication strategy
Executive Office of the President of the Republic of Indonesia
Executive_Office_of_the_President_of_the_Republic_of_Indonesia
Philosophical question
The problem of evil, also known as the problem of suffering, is the philosophical question of how to reconcile the existence of evil and suffering with
Problem_of_evil
Problem in wireless networking
an obstacle, but removal of the obstacle is another method of remedy for the hidden node problem. Another method of solving the hidden node problem is
Hidden_node_problem
Computational problem
sub-goal. Obstacle space is a space that the robot can not move to. Obstacle space is not opposite of free space. Low-dimensional problems can be solved
Motion_planning
Items jumped over by horses in some equestrian sports
the obstacle, and also allows him the time needed to assess what is being asked, so that he may better complete the combination without problem. Approaching
Horse_jumping_obstacles
rectangle of maximal size to be placed among obstacles in the plane. There are a number of variants of the problem, depending on the particularities of this
Largest_empty_rectangle
Philosophical concept
if the hard problem is a genuine obstacle, it follows that physicalism must be false. Conversely, if physicalism is true, the hard problem cannot be a
Hard_problem_of_consciousness
Type of mathematical inequality
Equilibrium Problems Mathematical programming with equilibrium constraints Obstacle problem Projected dynamical system Signorini problem Unilateral contact
Variational_inequality
Polygonal region of all points visible from a given point in a plane
we can define the planar visibility polygon problem as such. Let S {\displaystyle S} be a set of obstacles (either segments, or polygons) in R 2 {\displaystyle
Visibility_polygon
2005 Japanese TV series or program
Viking: The Ultimate Obstacle Course (海筋肉王 ~バイキング~, Kaikinnikuō ~Baikingu~; literally Sea Muscle King Viking), sometimes abbreviated to Viking: TUOC, is
Viking: The Ultimate Obstacle Course
Viking:_The_Ultimate_Obstacle_Course
Graph of intervisible locations in computational geometry
and destination points and the vertices of the obstacles. Therefore, the Euclidean shortest path problem may be decomposed into two simpler subproblems:
Visibility_graph
Eight disciplines of team-oriented problem solving method
of quality – Measures of product quality Problem solving – Process of achieving a goal by overcoming obstacles Pruitt, W. Frazier (May 2019). "A Disciplined
Eight disciplines problem solving
Eight_disciplines_problem_solving
Computational problem of graph theory
a directed graph Euclidean shortest path – Problem of computing shortest paths around geometric obstacles Flow network – Directed graph where edges have
Shortest_path_problem
Mathematical abstraction of objects being "visible"
mathematical abstraction of the real-life notion of visibility. Given a set of obstacles in the Euclidean space, two points in the space are said to be visible
Visibility_(geometry)
In Euclidean space, a measure of that set's "size"
capacitary potential of E with respect to D, and it solves the obstacle problem on D with the obstacle function provided by the indicator function of E. The capacitary
Capacity_of_a_set
Failure of a horse to jump an obstacle
Physical problems Back pain, or general soreness Dental problems Lameness issues, arthritis The horse is physically unable to jump the obstacle, due to
Refusals_and_runouts
the shortest route a watchman should take to guard an entire area with obstacles given only a map of the area. The challenge is to make sure the watchman
Watchman_route_problem
Book by George Pólya
in going around an obstacle that cannot be overcome directly' Pólya 1957 p. 105, pp. 29–32, for example, Pólya discusses the problem of water flowing into
How_to_Solve_It
Problem in physics and celestial mechanics
In physics, the n-body problem is the problem of predicting the individual motions of a group of celestial objects interacting with each other gravitationally
N-body_problem
Second World War anti-tank scaffolding
also known as Obstacle Z.1, or sometimes simply as beach scaffolding or anti-tank scaffolding, was a British anti-tank and anti-boat obstacle design made
Admiralty_scaffolding
Algorithm used for pathfinding and graph traversal
but it has been shown that A* can be used to find optimal paths for any problem satisfying the conditions of a cost algebra. The original 1968 A* paper
A*_search_algorithm
Aspect of balance of power theory
encounter a fair share of obstacles, problems and criticisms. Internal balancing is subjected to a number of domestic obstacles that can impede its success
Balancing (international relations)
Balancing_(international_relations)
Meditation technique in Yoga
meditator who is successful in learning samyama vanquishes all cognitive obstacles/problems/troubles (Sanskrit: klesha). The Sutras then describe various psychic
Samyama
Five-event Olympic sport
fencing (one-touch épée followed by direct elimination), freestyle swimming, obstacle course racing, laser pistol shooting, and cross country running. The sport
Modern_pentathlon
Conjecture on zeros of the zeta function
Unsolved problem in mathematics Do all non-trivial zeros of the Riemann zeta function have a real part equal to one half? More unsolved problems in mathematics
Riemann_hypothesis
sphere problem is the problem of finding a hypersphere of largest radius in d-dimensional space whose interior does not overlap with any given obstacles. The
Largest_empty_sphere
1995 television film directed by Greg Beeman
Problem Child 3: Junior in Love (known onscreen as simply Problem Child 3) is a 1995 American children's television film directed by Greg Beeman and written
Problem Child 3: Junior in Love
Problem_Child_3:_Junior_in_Love
1103/PhysRevD.95.103504. S2CID 119076077. This problem is widely regarded as one of the major obstacles to further progress in fundamental physics [..
List of unsolved problems in astronomy
List_of_unsolved_problems_in_astronomy
Method for goal setting and problem solving
Obstacle(s). Using GROW automatically breaks a problem down into these component parts. The same principles can be applied whatever goal or problem the
GROW_model
Ability to make choices voluntarily
indeterminism is functioning as a hindrance or obstacle to her realizing one of her purposes – a hindrance or obstacle in the form of resistance within her will
Free_will
Algorithmic problem of finding non-crossing drawings
algorithm may be a planar graph embedding, if the graph is planar, or an obstacle to planarity such as a Kuratowski subgraph if it is not. Planarity testing
Planarity_testing
Family of computer algorithms
field of binary random variables each representing the presence of an obstacle at that location in the environment. Occupancy grid algorithms compute
Occupancy_grid_mapping
2016 book by Ryan Holiday
about external obstacles in his book The Obstacle Is the Way, Holiday sought to answer questions about what to do when the biggest obstacle is internal.
Ego_Is_the_Enemy
Professor of mathematics
Donatella; Garofalo, Nicola; Petrosyan, Arshak (2007). "The sub-elliptic obstacle problem: C 1 , α {\displaystyle C^{1,\alpha }} regularity of the free boundary
Donatella_Danielli
Class of problems
problems for which velocity, acceleration, and force/torque bounds must be satisfied, together with kinematic constraints such as avoiding obstacles.
Kinodynamic_planning
Overview of and topical guide to thought
redirect targets Problem solving – Process of achieving a goal by overcoming obstacles Problem solving steps Problem finding – Problem discovery Process
Outline_of_thought
end of 2020) and replacing them with political loyalists if deemed an "obstacle to his agenda" within federal agencies, the United States Intelligence
2024 United States presidential election
2024_United_States_presidential_election
Management of the flow of resources
mail deliveries, public utilities, and after-sales services, logistical problems must be addressed. Logistics deals with the movement of materials or products
Logistics
Automated method for solving mazes
after Jon Pledge of Exeter) can solve this problem. The Pledge algorithm, designed to circumvent obstacles, requires an arbitrarily chosen direction to
Maze-solving_algorithm
Market failure benefitting non-paying users
agreements. The economic free-rider problem's manifestation in global politics underscores the complexities and obstacles encountered in fostering collective
Free-rider_problem
Portrayal of sexual subject matter
being shameful. Much of the Christian mythology presented sexuality as an obstacle to be surmounted in the way of salvation. The major Abrahamic religions
Pornography
Mathematical optimization problem restricted to integers
An integer programming, also known as integer optimization, problem is a mathematical optimization or feasibility program in which some or all of the
Integer_programming
American singer and actress (born 1993)
.] instrument [...] allows you to shut down every objection and every obstacle." Grande's enunciation has drawn some criticism, particularly on her earlier
Ariana_Grande
Cognitive process independent of the senses
concepts acquired through concept formation. Problem-solving aims at achieving specific goals by overcoming obstacles, while deliberation evaluates possible
Thought
Inequality constraints can be incorporated, e.g., in order to handle obstacle problems. Uzawa, H. (1958). "Iterative methods for concave programming". In
Uzawa_iteration
Problem in object-oriented programming
object which is moving to any direction can encounter obstacles. The right way to model this problem would be to have a WalkAttemptResult walkToDirection(int
Circle–ellipse_problem
Type of WWII landmine
and once in place this could be used to instantly create an anti-tank obstacle or to ruin a road or runway thereby denying its use by an enemy. In November
Canadian_pipe_mine
Interference phenomenon of waves
Diffraction is the deviation of waves from straight-line propagation due to an obstacle or through an aperture, without any change in their energy. Diffraction
Diffraction
Problem in computational complexity theory
Unsolved problem in computer science Is there an algorithm to solve the 3SUM problem in time O ( n 2 − ϵ ) {\displaystyle O(n^{2-\epsilon })} , for some
3SUM
Spanish mathematician (born 1997)
Latorre obtained her PhD in Mathematics on the theory of regularity in obstacle problems of the Harnack inequality, from the University of Barcelona. "Act
Clara_Torres_Latorre
Italian mathematician
behaviour of variational problems via so called Γ-convergence methods to fine properties of solutions to obstacle problems. In the last years he has
Gianni_Dal_Maso
the law. The people below the age of 18 cannot gamble. There is not any obstacle when depositing money to the foreign or local bookies. Users deposit money
Gambling_in_Angola
1955–1975 war in Southeast Asia
security council veto to block Vietnam's UN recognition three times, an obstacle to it receiving aid. By 1975, the North Vietnamese had lost influence over
Vietnam_War
British politician (born 1983)
other side", and that it caused serious problems when it came to his sexuality: "My faith was a really big obstacle to accepting myself ... I spent many
Wes_Streeting
Evasive maneuver vehicle test
performed to determine how well a certain vehicle evades a suddenly appearing obstacle. This test has been standardized in ISO 3888-2. Forms of the test have
Moose_test
Void between celestial bodies
fields. Outside a protective atmosphere and magnetic field, there are few obstacles to the passage through space of energetic subatomic particles known as
Outer_space
American skateboarder and stuntman (born 1979)
Spike TV, which showcased Margera and his friends' attempt to conquer an obstacle course race in the Tough Guy Competition, held in Staffordshire, England
Bam_Margera
Historical notion in urban planning
great horse manure crisis of 1894 is an urban myth that a significant obstacle to urban development at the turn of the 20th century was the difficulty
Great horse manure crisis of 1894
Great_horse_manure_crisis_of_1894
American businessman (born 1964)
a notoriously opportunistic CEO who operates with little concern for obstacles and externalities. During the early 2010s, Bezos solidified his reputation
Jeff_Bezos
Leader of the Soviet Union from 1924 to 1953
Mikhail Tomsky. Stalin saw Trotsky—whom he personally despised—as the main obstacle to his dominance, and during Lenin's illness had formed an unofficial triumvirate
Joseph_Stalin
Manner of solving problems
Concept in education and education reform Problem solving – Process of achieving a goal by overcoming obstacles Lateral thinking related Oblique Strategies –
Lateral_thinking
Method of problem-solving
Trial and error is a fundamental method of problem-solving characterized by repeated, varied attempts which are continued until success, or until the
Trial_and_error
American domestic terrorist (1942–2023)
psychological pressures induced by technological conditions as well as an obstacle to the formation of an effective anti-tech revolution. He defined leftists
Ted_Kaczynski
Penetrative sexual activity for reproduction or sexual pleasure
long they should wait before having sexual intercourse after a surgery. Obstacles that those with disabilities face with regard to engaging in sexual intercourse
Sexual_intercourse
Finnish mathematician
Kilpeläinen, Tero (1988). "On the Wiener criterion and quasilinear obstacle problems". Transactions of the American Mathematical Society. 310: 239. doi:10
Juha_Heinonen
Country in Eastern Europe and North Asia
Gardiner, Beth (23 March 2021). "Will Russia's Forests Be an Asset or an Obstacle in Climate Fight?". Yale University. Archived from the original on 11 December
Russia
Country in Southeast Asia and Oceania
jobs, and businesses face infrastructure, regulatory, and governance obstacles. The archipelago's geography affects where economic activity takes place
Indonesia
Cast of neo-Western crime media franchise
21, 2008). "For teen star of 'Breaking Bad,' real-life disability is no obstacle". USA Today. Archived from the original on October 17, 2019. Retrieved
List of characters in the Breaking Bad franchise
List_of_characters_in_the_Breaking_Bad_franchise
Country in Central America
Santa Fe de Bogotá (the modern capital of Colombia) proved a greater obstacle than the Spanish crown anticipated as the authority of New Granada was
Panama
Country in West Africa
has one of the most developed tourist industries in Africa. The main obstacles to the economic development of the country are its great corruption with
Senegal
Country in North Africa
between Algeria and Morocco in relation to the Western Sahara have been an obstacle to tightening the Arab Maghreb Union, nominally established in 1989, but
Algeria
Subspecies of mammal
reinforced border wall which began in 2017, has also exacerbated this problem. Living in open areas, pronghorns in general must rely on their eyesight
Sonoran_pronghorn
4x4 trail near Sacramento, California
been closed. This obstacle had a moderately difficult bypass (the original trail), which is now the only route open. The next obstacle is Arnold's Rock
Rubicon_Trail
Theory
immediately applicable solution to it.” Constraint Recognition: perceived obstacles in a problem-solving task that reduce one's ability to do anything about the
Situational theory of problem solving
Situational_theory_of_problem_solving
Italian media tycoon and politician (1936–2023)
settlements in the occupied West Bank was a "mistake" and "could be an obstacle to peace". While Berlusconi was in office, Israel and Italy negotiated
Silvio_Berlusconi
2000 Chinese film
was plagued with censorship problems, A Lingering Face's production and release was relatively free of problems or obstacles. A Lingering Face follows an
A_Lingering_Face
Hindu god of new beginnings, wisdom and luck
four arms. He is widely revered, more specifically, as the remover of obstacles and bringer of good luck; the patron of arts and sciences; and the deva
Ganesha
Persons exposed to nuclear test fallout
and onsite participants are eligible for $75,000. There are particular obstacles to receiving needed health care and compensation faced by many widows
Downwinders
Disputed Russian republic in eastern Ukraine
Church, and Protestantism, as all being anti-Russian and see them as obstacles in the path of the separatist goal of uniting the region with Russia.
Donetsk_People's_Republic
Search algorithm
about the unknown part of the terrain (for example: that it contains no obstacles) and finds a shortest path from its current coordinates to the goal coordinates
D*
Pattern in storytelling
adventure, where he must undergo "the ordeal" where he overcomes the main obstacle or enemy, undergoing "apotheosis" and gaining his reward (a treasure or
Hero's_journey
British statesman and writer (1874–1965)
onto the shore", the Allied force had become a "stranded whale". The big obstacle was Monte Cassino and it was not until May 1944 when it was finally overcome
Winston_Churchill
English rock band (1960–1970)
responsible for the delay, although in 2008, McCartney stated that the main obstacle to making the Beatles' catalogue available online was that EMI "want[s]
The_Beatles
Swahili folktale from East Africa
the bottles they pilfered from the castle, each bottle creating a magic obstacle to hinder their pursuers: the creeper bottle releases a forest of creeper
Kibaraka
OBSTACLE PROBLEM
OBSTACLE PROBLEM
Boy/Male
Tamil
Avingha | அவிநà¯à®•ாÂ
Remover of obstacles
Avingha | அவிநà¯à®•ாÂ
Girl/Female
Tamil
Avigna | அவிகà¯à®¨à®¾
No obstacles
Avigna | அவிகà¯à®¨à®¾
Boy/Male
Hindu
Remover of obstacles
Boy/Male
Hindu
Remover of obstacles
Girl/Female
Tamil
Vignya | விகà¯à®¨à¯à®¯
Obstacle
Vignya | விகà¯à®¨à¯à®¯
Girl/Female
Hindu
Obstacle
Boy/Male
Tamil
Vighnahara | விகà¯à®¨à®¾à®¹à®°à®¾Â
Remover of obstacles
Vighnahara | விகà¯à®¨à®¾à®¹à®°à®¾Â
Girl/Female
Indian
No obstacles
Boy/Male
Tamil
Remover of obstacles
Boy/Male
Gujarati, Hindu, Indian, Kannada, Malayalam, Marathi, Punjabi, Sikh
Winner over Obstacles
Boy/Male
Tamil
No obstacles, Calm
Boy/Male
Sikh
Winner over obstacles
Boy/Male
Hindu, Indian, Kannada
Remover of Obstacles
Boy/Male
Tamil
Vignaharta | விகà¯à®¨à®¾à®¹à®¾à®°à®¤à®¾Â
Demolisher of obstacles
Vignaharta | விகà¯à®¨à®¾à®¹à®¾à®°à®¤à®¾Â
Boy/Male
Bengali, Hindu, Indian, Kannada
Demolisher of Obstacles
Boy/Male
Hindu
No obstacles, Calm
Boy/Male
Indian, Sanskrit
Obstacle
Boy/Male
Hindu, Indian, Punjabi, Sikh
Winner over Obstacles
Girl/Female
Gujarati, Hindu, Indian, Malayalam, Marathi, Sanskrit, Telugu
Without Obstacles
Boy/Male
Tamil
Winner over obstacles
OBSTACLE PROBLEM
OBSTACLE PROBLEM
Girl/Female
Arabic, Australian, Muslim
Emotion
Girl/Female
Hindu
Blue, Durga, Pupil if the eye
Girl/Female
Arabic, Iranian, Muslim, Parsi
Sun
Girl/Female
Muslim/Islamic
To recite
Boy/Male
Greek
Reborn.
Girl/Female
Danish, German, Greek, Swedish
Pure
Boy/Male
Shakespearean French English
King Henry IV, 1' Earl of March. 'King Henry VI, III' Edmund, Earl of Rutland and son to Richard...
Boy/Male
Indian, Sanskrit
Look; Sight; Radiance; A Teacher
Boy/Male
Indian
Gold water
Girl/Female
Latin
Feminine of Emeliano.
OBSTACLE PROBLEM
OBSTACLE PROBLEM
OBSTACLE PROBLEM
OBSTACLE PROBLEM
OBSTACLE PROBLEM
v. i.
To conquer; to overcome; as, to surmount difficulties or obstacles.
v. i.
To move forward against an obstacle, as a vessel against a current.
v. i.
To be prevented from going farther; to stop by reason of some obstacle; to be stayed.
v. i.
To interpose obstacles or impediments; to be a hindrance.
n.
That which retards; an obstacle; an obstruction.
n.
That which stops, impedes, or obstructs; as obstacle; an impediment; an obstruction.
a.
Tending to obstruct; presenting obstacles; hindering; causing impediment.
a.
Incapable of being passed over, surmounted, or overcome; insuperable; as, insurmountable difficulty or obstacle.
v.
That which stands in the way, or opposes; anything that hinders progress; a hindrance; an obstruction, physical or moral.
n.
Delay; obstacle; hindrance.
v. t.
To oppose or check by some obstacle; to check by a return check.
v. t.
To block up; to stop up or close, as a way or passage; to place an obstacle in, or fill with obstacles or impediments that prevent or hinder passing; as, to obstruct a street; to obstruct the channels of the body.
n.
Check; hindrance; restraint; obstacle.
a.
Not capable of self-fertilization; -- said of hermaphrodite flowers in which some structural obstacle forbids autogamy.
n.
An obstacle formed by turning an ordinary harrow upside down, the frame being buried.
n.
That which obstructs or impedes; an obstacle; an impediment; a hindrance.
a.
Incapable of being conquered, overcome, or subdued; unconquerable; insuperable; as, an invincible army, or obstacle.
v. t.
Hence, anything that retards; a clog; an obstacle to progress or enjoyment.
n.
Whatever arrests progress, or limits action; an obstacle, guard, restraint, or rebuff.
n.
A catch; anything that holds, as a hook; an impediment; an obstacle; an entanglement.