fracture vs repair: What's the difference?

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Which is correct: Fracture or repair

How to spell Fracture?

Fracture
Correct Spelling
repair
Correct Spelling
Fracturenoun

breaking of hard tissue such as bone

Fractureverb

fracture a bone of

Fracturenoun

(geology) a crack in the earth's crust resulting from the displacement of one side with respect to the other

Fracturenoun

the act of cracking something

Fractureverb

become fractured

Fractureverb

break (a bone)

Fractureverb

break into pieces

Fractureverb

interrupt, break, or destroy

Fractureverb

violate or abuse

repairverb

restore by replacing a part or putting together what is torn or broken

repairverb

set straight or right

repairnoun

the act of putting something in working order again

repairverb

give new life or energy to

repairverb

make amends for; pay compensation for

repairverb

move, travel, or proceed toward some place

repairnoun

a frequently visited place

repairnoun

a formal way of referring to the condition of something

Fracture Illustrations

repair Illustrations

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heuristic algorithms can compute an answer to the problem much more quickly than exact ones, however the likelihood that it is the optimal one can vary wildly between solutions. though for most use cases, it isn’t too important. as shown in \cite{rego2011427}, most modern heuristic methods can achieve a solution accuracy of between 2-3\% most of the time. this is however, still at the cost of long computation time. vs heuristic algorithms are approximate methods that aim to find near-optimal solutions to complex problems, like the traveling salesman problem (tsp), in a more computationally efficient manner compared to exact methods. although heuristic algorithms do not guarantee an optimal solution, they can often provide high-quality solutions that are sufficient for most practical applications. in the context of the tsp, heuristic algorithms have been widely studied and employed due to their effectiveness in solving large instances of the problem, where exact methods become computationally intractable. some of the most well-known heuristic algorithms for tsp include: nearest neighbor algorithm: this simple greedy algorithm starts at an initial node and repeatedly selects the closest unvisited node as the next node in the tour until all nodes have been visited. although this method is fast, it can sometimes produce suboptimal solutions. greedy insertion: this approach involves iteratively inserting nodes into an existing tour by selecting the node and insertion position that result in the smallest increase in tour length. variants of this algorithm, such as cheapest insertion and farthest insertion, use different criteria for node selection and insertion. 2-opt local search: this technique focuses on improving an existing tour by iteratively swapping pairs of edges to reduce the overall tour length. the process continues until no further improvements can be made. the 2-opt algorithm can be combined with other heuristics, like the nearest neighbor or greedy insertion, to further enhance their performance. metaheuristics: advanced heuristic algorithms, known as metaheuristics, have also been applied to the tsp. these methods, such as simulated annealing, genetic algorithms, ant colony optimization, and particle swarm optimization, employ higher-level strategies to guide the search process and avoid getting stuck in local optima. as reported in rego et al. (2011), modern heuristic methods can achieve solution accuracies of between 2-3% most of the time, making them suitable for a wide range of applications. however, it is important to note that the computational efficiency of heuristic algorithms may still be an issue for very large problem instances or when tight deadlines are imposed. in conclusion, heuristic algorithms for the tsp offer a trade-off between solution quality and computational efficiency, making them a valuable tool in practical settings where exact methods are not feasible. by carefully selecting and tuning heuristic methods, it is possible to obtain near-optimal solutions in a relatively short amount of time, satisfying the requirements of many real-world applications.
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heuristic algorithms can compute an answer to the problem much more quickly than exact ones, however the likelihood that it is the optimal one can vary wildly between solutions. though for most use cases, it isn’t too important. as shown in \cite{rego2011427}, most modern heuristic methods can achieve a solution accuracy of between 2-3\% most of the time. this is however, still at the cost of long computation time. vs heuristic algorithms are approximate methods that aim to find near-optimal solutions to complex problems, like the traveling salesman problem (tsp), in a more computationally efficient manner compared to exact methods. although heuristic algorithms do not guarantee an optimal solution, they can often provide high-quality solutions that are sufficient for most practical applications. in the context of the tsp, heuristic algorithms have been widely studied and employed due to their effectiveness in solving large instances of the problem, where exact methods become computationally intractable. some of the most well-known heuristic algorithms for tsp include: nearest neighbor algorithm: this simple greedy algorithm starts at an initial node and repeatedly selects the closest unvisited node as the next node in the tour until all nodes have been visited. although this method is fast, it can sometimes produce suboptimal solutions. greedy insertion: this approach involves iteratively inserting nodes into an existing tour by selecting the node and insertion position that result in the smallest increase in tour length. variants of this algorithm, such as cheapest insertion and farthest insertion, use different criteria for node selection and insertion. 2-opt local search: this technique focuses on improving an existing tour by iteratively swapping pairs of edges to reduce the overall tour length. the process continues until no further improvements can be made. the 2-opt algorithm can be combined with other heuristics, like the nearest neighbor or greedy insertion, to further enhance their performance. metaheuristics: advanced heuristic algorithms, known as metaheuristics, have also been applied to the tsp. these methods, such as simulated annealing, genetic algorithms, ant colony optimization, and particle swarm optimization, employ higher-level strategies to guide the search process and avoid getting stuck in local optima. as reported in rego et al. (2011), modern heuristic methods can achieve solution accuracies of between 2-3% most of the time, making them suitable for a wide range of applications. however, it is important to note that the computational efficiency of heuristic algorithms may still be an issue for very large problem instances or when tight deadlines are imposed. in conclusion, heuristic algorithms for the tsp offer a trade-off between solution quality and computational efficiency, making them a valuable tool in practical settings where exact methods are not feasible. by carefully selecting and tuning heuristic methods, it is possible to obtain near-optimal solutions in a relatively short amount of time, satisfying the requirements of many real-world applications.
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