Use ‘triangle inequality’ in a sentence | ‘triangle inequality’ example sentences
1- The last condition, 4, is called the triangle inequality .
2- The triangle inequality expresses the fact that detours aren’t shortcuts.
3- The triangle inequality then easily implies that __FORMULA__, as needed.
4- Minkowski’s inequality says the triangle inequality holds for __FORMULA__.
5- With q=N-1 the triangle inequality is maintained throughout the entire network.
6- This thesis adds an additional constraint to the system steming from the triangle inequality .
7- Pathfinder network scaling relies on the so-called triangle inequality to eliminate redundant or counter-intuitive links.
8- This enables the simple 2-approximation algorithm for TSP with triangle inequality above to operate more quickly.
9- Rosenkrantz et al. showed that the NN algorithm has the approximation factor __FORMULA__ for instances satisfying the triangle inequality .
10- The “Lp,w”-norm is not a true norm, since the triangle inequality fails to hold.
11- For example, inputs to the general Travelling salesman problem need not obey the triangle inequality , unlike real road networks.
12- In effect, the triangle inequality is modified under the conditions of rational trigonometry to the equivalent of Pythagoras’s theorem.
13- The Euclidean TSP is a particular case of the metric TSP, since distances in a plane obey the triangle inequality .
14- Let “c” be chosen to be the longest of the three sides and (otherwise there is no triangle according to the triangle inequality ).
15- Since the radius of “B” is ≤ 2−”n””R”, it is less than twice that of “C” and the conclusion “B” ⊂ 5 “C” follows from the triangle inequality as in the finite version.
16- AB is the common side extend AC to cut the polygon at X. Then by the triangle inequality the polygon perimeter > AB + AX + XB = AB + AC + CX + XB ≥ AB + AC + BC.
17- By the triangle inequality we have __FORMULA__ and therefore the imbedding is strongly isometric, in the precise sense that internal distance and ambient distance coincide.
18- Because these three surface energies form the sides of a triangle, they are constrained by the triangle inequalities , γij γjk + γik meaning that no one of the surface tensions can exceed the sum of the other two.
19- Currency is an acceptable unit for edge weight – there is no requirement for edge lengths to obey normal rules of geometry such as the triangle inequality .
20- Moreover, thanks to the triangle inequality , each skipping at Step 4 is in fact a shortcut; i.e., the length of the cycle does not increase.
21- In the TSP with triangle inequality case it is possible to prove upper bounds in terms of the minimum spanning tree and design an algorithm that has a provable upper bound on the span of the route.
22- By the equivalence of norms in finite dimensions, an equivalent metric is obtained if “N” is the taxicab norm, a p-norm, the max norm, or any other norm which is non-decreasing as the coordinates of a positive “n”-tuple increase (yielding the triangle inequality ).
23- Since the set of the centres of these balls is finite, it has finite diameter, from which it follows (using the triangle inequality ) that every totally bounded space is bounded.
24- All of the standard properties of two dimensional space therefore hold for the complex numbers, including important properties of the modulus such as non-negativity, and the triangle inequality (__FORMULA__ for all __FORMULA__ and __FORMULA__).
25- is a complete metric space, which notably includes the triangle inequality
26- __FORMULA__ (” triangle inequality “) .
27- that satisfies a number of requirements, notably the triangle inequality .
28- To check the triangle inequality , we need to know that
29- ( triangle inequality ) If , then .
30- Furthermore, we have the following generalization of the triangle inequality :
31- is a metric, “i.e.” satisfies the triangle inequality , “etc.”
32- (d)( triangle inequality )__FORMULA__.
33- and so the combined information gain does “not” obey the triangle inequality :
34- satisfies the properties of a metric ( triangle inequality , non-negativity, indiscernability and symmetry).
35- The composition morphism __FORMULA__ will be the unique morphism in __FORMULA__ given from the triangle inequality __FORMULA__
36- … the magnitude of , profoundly important in equality, triangle inequality says that the magnitude of the sum of U and V is less than or equal to the magnitude of U +… 2718 Moreover, : for any scalar 3. The triangle inequality holds.
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Related Words:
iron triangle – warning triangle – equilateral triangle – plane triangle – congruent triangle – right triangle – right-angled triangle – triangle inequality – equiangular triangle – triangle-shaped – velocity triangle – safety triangle – power triangle – triangle up – brake triangle –
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