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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
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
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
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
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
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
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
Capability in robotics
Obstacle avoidance, in robotics, is a critical aspect of autonomous navigation and control systems. It is the capability of a robot or an autonomous system/machine
Obstacle_avoidance
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
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
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
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
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
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
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
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
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
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
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
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
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
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
Type of mathematical inequality
Equilibrium Problems Mathematical programming with equilibrium constraints Obstacle problem Projected dynamical system Signorini problem Unilateral contact
Variational_inequality
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)
Philosophical problem
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
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
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
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
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
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
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
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
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
Problem in computational geometry
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
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)
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
2017 romantic comedy novel by Kevin Kwan
Rich People Problems is a 2017 satirical romantic comedy novel by Kevin Kwan. It is the third and final novel in Kwan's "Crazy Rich..." trilogy that looks
Rich_People_Problems
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
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
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
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
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
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
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
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
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
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
American singer, songwriter, and actress (born 1993)
which both achieved international success, spawning the hit singles "Problem", "Break Free", "Bang Bang", "One Last Time", "Into You", and "Side to
Ariana_Grande
Structure to channel water past an obstacle
A culvert is a structure that channels water past an obstacle or to a subterranean waterway. Typically embedded so as to be surrounded by soil, a culvert
Culvert
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
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
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
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
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
American writer and activist (born 1987)
freedom: To hold my hand and offer support and respect throughout the obstacles and the controversy, there were Italians. There was the Italy–USA Foundation
Amanda_Knox
1945 book on problem solving by George Pólya
problem; then you may find courage to attack your original problem again. Do not forget that human superiority consists in going around an obstacle that
How_to_Solve_It
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
Temporary inflatable structure for play
rental industry that includes inflatable slides, inflatable water slides, obstacle courses, and giant games, carnival games, and more. Inflatable castles
Inflatable_castle
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
Management of the flow of resources
cross-border shipments. These combined logistics frameworks resolved the obstacles that previously restricted the international trade of the SMEs. Logistics
Logistics
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
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
Medical condition caused by receiving too little or too many nutrients
when an organism gets too few or too many nutrients, resulting in health problems. Specifically, it is a deficiency, excess, or imbalance of energy, protein
Malnutrition
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
American actor and filmmaker (born 1972)
2014. Holson, Laura (August 5, 2002). "Affleck and Damon Find Real-Life Obstacles to Their Media Venture". The New York Times. Archived from the original
Ben_Affleck
Ethnic group in the Republic of Turkey
ISBN 978-1-136-58798-6. Ibrahim, Ferhad (2000). The Kurdisch Conflict in Turkey: Obstacles and Chances for Peace and Democracy. Münster: New York, N.Y.: Lit; St
Kurds_in_Turkey
Series of autonomous robotic vacuum cleaners sold by iRobot
navigate the floor area of a home. These sensors can detect the presence of obstacles and steep drops (e.g., to avoid falling down stairs). As of 2024, iRobot
Roomba
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 actor (born 1965)
Vanity Fair that Downey managed to "shrug and bubble his way past every obstacle". Downey has described himself as an "incredibly gifted faker" who knows
Robert_Downey_Jr.
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
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
is an innate part of life itself. Therefore, religious attitudes are no obstacle to the presence of pornographic material in Japan's society. Possession
Pornography_in_Japan
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
American second generation main battle tank
upgraded engine and 2 Tzmed tandem bridge sections. XM1060 ROBAT (Robotic Obstacle Breaching Assault Tank): A former M60A3 tank without its turret configured
M60_tank
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
Inequality constraints can be incorporated, e.g., in order to handle obstacle problems. Uzawa, H. (1958). "Iterative methods for concave programming". In
Uzawa_iteration
Former population control policy in China
response to China's rapid population growth, which was viewed as a major obstacle to the country's economic and social development. This slogan encapsulated
One-child_policy
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
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
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
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
Urban accessibility concept
which makes high density housing construction illegal. NIMBYism is also an obstacle, as are parking requirements and the perceived low quality of urban schools
15-minute_city
Conservation program
other motivations, barriers still exist to engage in such programs. These obstacles can include “a lack of technical skills for planting trees, unsuccessful
Reforestation_in_Costa_Rica
Problem in formal logic
the introduction of the Yale shooting problem. While the Yale shooting problem has been considered a severe obstacle to the use of logic for formalizing
Yale_shooting_problem
Nigerian human rights activist
tormentors but took it in his strides. He saw an opportunity out of the obstacle after reading a thousand-page books on political communication in America
Gbenga_Olawepo-Hashim
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
Retrieved November 21, 2020. Prokop, Andrew (November 13, 2020). "The many obstacles to the "GOP state legislatures steal the election for Trump" scenario"
2020 United States presidential election
2020_United_States_presidential_election
Philosophical theory
tasks. Polanyi's paradox has been widely considered to identify a major obstacle in the fields of AI and automation, since programming an automated task
Polanyi's_paradox
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
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
Prejudice against, or hatred of, women
and Olga Jurasz discuss how online misogyny can lead to women facing obstacles when trying to engage in the public and political spheres of the Internet
Misogyny
Property of possessing maximal power
of two mutually exclusive alternatives; not because his power meets an obstacle, but because nonsense remains nonsense even when we talk it about God.
Omnipotence
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
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
OBSTACLE PROBLEM
OBSTACLE PROBLEM
Girl/Female
Hindu
Obstacle
Boy/Male
Hindu
No obstacles, Calm
Boy/Male
Tamil
Remover of obstacles
Boy/Male
Sikh
Winner over obstacles
Boy/Male
Tamil
Avingha | அவிநà¯à®•à®¾Â
Remover of obstacles
Avingha | அவிநà¯à®•à®¾Â
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
No obstacles, Calm
Boy/Male
Hindu
Remover of obstacles
Boy/Male
Hindu
Remover of obstacles
Boy/Male
Indian, Sanskrit
Obstacle
Boy/Male
Tamil
Winner over obstacles
Girl/Female
Tamil
Vignya | விகà¯à®¨à¯à®¯
Obstacle
Vignya | விகà¯à®¨à¯à®¯
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
Gujarati, Hindu, Indian, Kannada, Malayalam, Marathi, Punjabi, Sikh
Winner over Obstacles
Boy/Male
Hindu, Indian, Kannada
Remover of Obstacles
Girl/Female
Gujarati, Hindu, Indian, Malayalam, Marathi, Sanskrit, Telugu
Without Obstacles
Boy/Male
Hindu, Indian, Punjabi, Sikh
Winner over Obstacles
Girl/Female
Tamil
Avigna | அவிகà¯à®¨à®¾
No obstacles
Avigna | அவிகà¯à®¨à®¾
Boy/Male
Bengali, Hindu, Indian, Kannada
Demolisher of Obstacles
OBSTACLE PROBLEM
OBSTACLE PROBLEM
Girl/Female
Muslim
A flower, Sweet smile
Girl/Female
Russian
Pure.
Female
French
Feminine form of French Honoré, HONORÉE means "honor, valor."
Boy/Male
Hindu, Indian, Kannada
Independent Nature
Boy/Male
Tamil
Pure
Boy/Male
Hindu, Indian, Jain, Kannada, Telugu
Moon
Girl/Female
Indian
Praiseworthy, Praiser of Allah
Surname or Lastname
Scottish and English
Scottish and English : from a pet form of Dennis.English : habitational name from a place in Cambridgeshire, most probably named with Old English Dene ‘Dane’ + ēg ‘island’.Scottish : habitational name from Denny in Stirlingshire.Irish : reduced Anglicized form of Gaelic Ó Duibhne (see Deeney).Irish (Cork) : less frequently, a reduced Anglicization of Gaelic Ó Duineachdha (see Dennehy).
Boy/Male
Australian, Gaelic, Irish
Brave; Hero; Man of Courage
Female
Greek
(ἈÏάχνη) Greek myth name of a young girl who was turned into a spider by Athena, ARACHNE means "spider."
OBSTACLE PROBLEM
OBSTACLE PROBLEM
OBSTACLE PROBLEM
OBSTACLE PROBLEM
OBSTACLE PROBLEM
v. i.
To be prevented from going farther; to stop by reason of some obstacle; to be stayed.
n.
A catch; anything that holds, as a hook; an impediment; an obstacle; an entanglement.
v. t.
To oppose or check by some obstacle; to check by a return check.
a.
Tending to obstruct; presenting obstacles; hindering; causing impediment.
v. i.
To move forward against an obstacle, as a vessel against a current.
a.
Incapable of being conquered, overcome, or subdued; unconquerable; insuperable; as, an invincible army, or obstacle.
a.
Incapable of being passed over, surmounted, or overcome; insuperable; as, insurmountable difficulty or obstacle.
v. i.
To conquer; to overcome; as, to surmount difficulties or obstacles.
v. i.
To interpose obstacles or impediments; to be a hindrance.
n.
Delay; obstacle; hindrance.
a.
Not capable of self-fertilization; -- said of hermaphrodite flowers in which some structural obstacle forbids autogamy.
n.
Check; hindrance; restraint; obstacle.
n.
That which stops, impedes, or obstructs; as obstacle; an impediment; an obstruction.
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.
v.
That which stands in the way, or opposes; anything that hinders progress; a hindrance; an obstruction, physical or moral.
n.
An obstacle formed by turning an ordinary harrow upside down, the frame being buried.
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.
That which retards; an obstacle; an obstruction.
n.
That which obstructs or impedes; an obstacle; an impediment; a hindrance.