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the zero-weight cycle problem is the problem of deciding whether a directed graph with weights on the edges (which may be positive or negative or zero) has
Zero-weight_cycle_problem
mean weight cycle is a cycle whose average weight (total weight divided by length) is smallest among all cycles in the graph. An analogous problem is the
Minimum_mean_weight_cycle
Graph with oriented edges
Directed graph with reversed edges Vertical constraint graph Zero-weight cycle problem Bang-Jensen & Gutin (2000). Bang-Jensen & Gutin (2018), Chapter
Directed_graph
Path in a graph that visits each vertex exactly once
products of the arc weights of the digraph's Hamiltonian cycles. This polynomial is not identically zero as a function in the arc weights if and only if the
Hamiltonian_path
All even-degree subgraphs of a graph
include cycles that are not faces, and some faces may not be included as cycles in the minimum weight cycle basis. There exists a minimum weight cycle basis
Cycle_space
Mathematical optimization problem
flow instance to zero, and introduce a new edge from source to sink with unit cost and capacity d {\displaystyle d} . Assignment problem. Suppose that each
Minimum-cost_flow_problem
Problem of finding the longest simple path for a given graph
the weights of its edges. In contrast to the shortest path problem, which can be solved in polynomial time in graphs without negative-weight cycles, the
Longest_path_problem
Absence of the sensation of weight
of weight, i.e., zero apparent weight. It is also termed zero g-force, or zero-g (named after the g-force) or, misleadingly, zero gravity. Weight is a
Weightlessness
Combinatorial optimization problem
size, in which the sum of weights of the edges is minimum. If the numbers of agents and tasks are equal, then the problem is called balanced assignment
Assignment_problem
Set of principles focused on waste management
Zero waste, or waste minimization, is a set of principles focused on waste prevention that encourages redesigning resource life cycles so that all products
Zero_waste
Algorithm for finding the shortest paths in graphs
edge weights are found in various applications of graphs. This is why this algorithm is useful. If a graph contains a "negative cycle" (i.e. a cycle whose
Bellman–Ford_algorithm
2015 Indian film by Prakash Kovelamudi
Simran. Sweety is devastated and joins a weight loss clinic called Size Zero as she thinks that her weight is the issue. One of her friends, Jyothi,
Size_Zero
Method to find shortest paths
directed graph. It allows some of the edge weights to be negative numbers, but no negative-weight cycles may exist. It works by using the Bellman–Ford
Johnson's_algorithm
Decision problem in computer science
that this is for the version of the problem where the target sum is not necessarily zero, as otherwise the problem would be trivial). In 2015, Koiliaris
Subset_sum_problem
Software resource tracking technique
cause problems). Weighted reference counts are a good solution for garbage collecting a distributed system. Tracing garbage collection cycles are triggered
Reference_counting
directed cycle with edges of zero weight, and inherit the outgoing edges from the original graph shifting by one vertex backwards along this cycle. The salesman
Set_TSP_problem
Mathematical proof about the permanent of matrices
sum of the weights of all cycle-covers of the graph; this is a graph-theoretic interpretation of the permanent. #SAT, a function problem related to the
♯P-completeness of 01-permanent
♯P-completeness_of_01-permanent
Hamiltonian cycle problem is computable on such graphs in polynomial time. In characteristic 2, the Hamiltonian cycle polynomial of an n×n-matrix is zero if n
Hamiltonian_cycle_polynomial
Largest independent set of paired elements
element, it is also possible to find a minimum-weight solution to the matroid parity problem, or a maximum-weight paired independent set, in linear matroids
Matroid_parity_problem
Measure of temperature relative to absolute zero
is a physical quantity that measures temperature starting from absolute zero, the point at which particles have minimal thermal motion. Thermodynamic
Thermodynamic_temperature
Lowest possible energy of a quantum system or field
where zero-point cancellations occur in the low-energy universe we observe today. This discrepancy is known as the cosmological constant problem and it
Zero-point_energy
Numerical method for solving physical or engineering problems
integral of the inner product of the residual and the weight functions; then, set the integral to zero. In simple terms, it is a procedure that minimizes
Finite_element_method
Aircraft propulsion system efficient at a range of speeds higher and lower than sound's
A variable cycle engine (VCE), also referred to as adaptive cycle engine (ACE), is an aircraft jet engine that is designed to operate efficiently under
Variable_cycle_engine
Study of mathematical algorithms for optimization problems
is zero (that is, the stationary points). More generally, a zero subgradient certifies that a local minimum has been found for minimization problems with
Mathematical_optimization
Settlement without third party involvement
objective of the MLC problem is to find a compensation having the minimum weight. The authors note that a simple greedy approach of cycle compensations does
Collaborative_finance
Engine in which fuel combusts with an oxidizer
simplicity and a higher power-to-weight ratio than their 4-stroke counterparts. Despite having twice as many power strokes per cycle, less than twice the power
Internal_combustion_engine
Directed graph where edges have a capacity
if it has a bottleneck with a value equal to zero. If any augmenting path exists, its bottleneck weight will be greater than 0. In other words, if there
Flow_network
Approximation for the travelling salesman problem
travelling salesman problem. That is, G is a complete graph on the set V of vertices, and the function w assigns a nonnegative real weight to every edge of
Christofides_algorithm
Algorithm for two disjoint paths in a graph
second path. The problem of finding two disjoint paths of minimum weight can be seen as a special case of a minimum cost flow problem, where in this case
Suurballe's_algorithm
Pedal-driven two-wheel vehicle
A bicycle, also called a pedal cycle, bike, push-bike or cycle, is a human-powered or motor-assisted, pedal-driven, single-track vehicle, with two wheels
Bicycle
Rockets that use supersonic exhaust to create additional acceleration
rocket/ramjet engines, similar to a ramjet, but able to give useful thrust from zero speed, and is also able in some cases to operate outside the atmosphere,
Air-augmented_rocket
Graph with sign-labeled edges
edges in it (where zero is even). In the mathematical balance theory of Frank Harary, a signed graph is balanced when every cycle is positive. Harary
Signed_graph
Algorithm in graph theory
positive or negative edge weights (but with no negative cycles). A single execution of the algorithm will find the lengths (summed weights) of shortest paths
Floyd–Warshall_algorithm
Method for finding minimum spanning trees
the inner loop, which determines the next edge of minimum weight that does not form a cycle, can be parallelized by dividing the vertices and edges between
Prim's_algorithm
Method to maintain data backups
media is used until the end of the cycle. Then the cycle is repeated using media numbered the same as the previous cycle, but incremented by one. The lowest
Backup_rotation_scheme
Graph divided into two independent sets
realization problem is the problem of finding a simple bipartite graph with the degree sequence being two given lists of natural numbers. (Trailing zeros may
Bipartite_graph
Tree which includes all vertices of a graph
weights. However, it is not necessary to construct this graph in order to solve the optimization problem; the Euclidean minimum spanning tree problem
Spanning_tree
sink is a one-vertex closure. The closure problem is the problem of finding a closure of minimum or maximum weight. co- This prefix has various meanings usually
Glossary_of_graph_theory
Technique to compress data
implemented, finding a code in time linear to the number of input weights if these weights are sorted. However, although optimal among methods encoding symbols
Huffman_coding
Process of calculating the causal factors that produced a set of observations
An inverse problem in science is the process of calculating from a set of observations the causal factors that produced them: for example, calculating
Inverse_problem
Node ordering for directed acyclic graphs
topological ordering is possible if and only if the graph has no directed cycles, that is, if it is a directed acyclic graph (DAG). Any DAG has at least
Topological_sorting
Algorithm for finding shortest paths
negative edge weights, as long as the graph contains no negative cycle reachable from the source vertex s. The presence of such cycles means that no shortest
Dijkstra's_algorithm
last three zeros with the letter "K" or "k": for instance, writing "$30k" for $30,000 or using "Y2K" to denote the Year 2000 computer problem. A thousand
1000_(number)
Positive-displacement pump
MPa or 2900 psi) and the swash plate is driven towards zero angle (piston stroke nearly zero) and with the inherent leaks in the system allows the pump
Axial_piston_pump
System that converts heat or thermal energy to mechanical work
using different cycles can also attain maximum efficiency. Mathematically, after a full cycle, the overall change of entropy is zero: Δ S h + Δ
Heat_engine
Mathematical version of an order change
the lengths of these cycles form an integer partition of n, which is called the cycle type (or sometimes cycle structure or cycle shape) of σ {\displaystyle
Permutation
Graph representing faces of another graph
these cycles). For edge-weighted planar graphs (with sufficiently general weights that no two cycles have the same weight) the minimum-weight cycle basis
Dual_graph
Computational problem in graph theory
minimum-cost flow problem of which the maximum flow problem is a particular case. For the single-source shortest path (SSSP) problem with negative weights – another
Maximum_flow_problem
Process of producing small rectangular items of fixed dimensions
cuts have zero width. This does not lose much generality, since if each cut has a fixed width of d>0, then the problem can be reduced to the zero-width variant
Guillotine_cutting
Area of discrete mathematics
decomposition problems and similar problems that have been studied include: Arboricity, a decomposition into as few forests as possible Cycle double cover
Graph_theory
Clean air agency in California, United States
mitigation. The CARB Zero-Emission Vehicle (ZEV) program was enacted by the California government starting in 1990 to promote the use of zero emission vehicles
California Air Resources Board
California_Air_Resources_Board
Pairing where no unchosen pair prefers each other over their choice
hospitals/residents problem renders the problem NP-complete. The assignment problem seeks to find a matching in a weighted bipartite graph that has maximum weight. Maximum
Stable_matching_problem
Elastic object that stores mechanical energy
spring outer diameter Zero-length spring is a term for a specially designed coil spring that would exert zero force if it had zero length. That is, in a
Spring_(device)
Motor vehicle
pivot helped maintain wheel alignment changes at a near zero value throughout the suspension cycle. Other notable features included an independent, 4-channel
Honda_NSX_(first_generation)
Two- or three-wheeled motor vehicle
first commercial design for a self-propelled cycle was a three-wheel design called the Butler Petrol Cycle, conceived of Edward Butler in England in 1884
Motorcycle
Computational graph problem
visit every vertex of a cycle and return to the start. This differs from the shortest path problem (with strictly positive weights), where repetitions in
Canadian_traveller_problem
Simplest known jet propulsion device
known jet propulsion device. Valveless pulsejets are low in cost, light weight, powerful and easy to operate. They have all the advantages (and most of
Valveless_pulsejet
Set of edges without common vertices
the optimization problem is to find a maximum-weight matching; a dual problem is to find a minimum-weight matching. This problem is often called maximum
Matching_(graph_theory)
Type of wheel without a hub
LEGACY Light Cycle Replica". Collider. Retrieved 2022-08-09. Welsh, Jonathan (2011-02-16). "For 'Tron' Fans: Your Very Own Light Cycle". Wall Street
Centreless_wheel
Electric current that periodically reverses direction
course of one cycle (two cycle as the power) the voltage rises from zero to 325 V, the power from zero to 460 RW, and both falls through zero. Next, the
Alternating_current
Sequence of operations for a task
divide the problem into sub-problems and collect the results back together. Resource consumption in these algorithms is not only processor cycles on each
Algorithm
Launch system that only uses one rocket stage
Only when the structural factor approaches zero [very little vehicle structure weight] does the payload/weight ratio of a single-stage rocket approach that
Single-stage-to-orbit
exchange Shortest path problem Bellman–Ford algorithm: computes shortest paths in a weighted graph (where some of the edge weights may be negative) Dijkstra's
List_of_algorithms
Type of energy-storing battery
the lithium acts as a charge carrier, rather than remaining at the anode (zero excess lithium). Manufacturing a lithium anode is also complex, as this involves
Anode-free_battery
Public bicycle hire scheme in London
Santander Cycles (formerly Barclays Cycle Hire) is a public bicycle hire scheme in London in the United Kingdom. The scheme's bicycles have been popularly
Santander_Cycles
Types of quantities in financial fields
body weight over time). In Earth system science, many stock and flow problems arise, such as in the carbon cycle, the nitrogen cycle, the water cycle, and
Stock_and_flow
Hybrid-electric military motorcycle
of the MMX, an all-electric bike developed by Zero Motorcycles for the military. However, the problem with the MMX was that its battery needed to be
SilentHawk
Crimes committed either by a corporation or its representatives
occur at different points in an economic cycle and system. The specific location of an economy in the economic cycle tends to generate specific kinds of leaders
Corporate_crime
Type of helmet
interference with peripheral vision. A cycle helmet should generally be light in weight and provide ample ventilation because cycling can be an intense aerobic activity
Bicycle_helmet
Sports motorcycle
increased to a 128 hp (95 kW). This year's model finally addressed the weight problems that had plagued the GSX-R through the first half of the 90s. Other
Suzuki_GSX-R750
Guidance and navigation computer used in Apollo spacecraft
setting up the DAP cycle termination sequence in the Digital Autopilot of the lunar module. It is believed to be responsible for problems emulating the LEM
Apollo_Guidance_Computer
Binary representation for signed numbers
is the most common method of representing signed (positive, negative, and zero) integers on computers, and more generally, fixed point binary values. As
Two's_complement
Matroid with graph forests as independent sets
In the mathematical theory of matroids, a graphic matroid (also called a cycle matroid or polygon matroid) is a matroid whose independent sets are the
Graphic_matroid
Directed graph with no directed cycles
closure. The closure problem takes as input a vertex-weighted directed acyclic graph and seeks the minimum (or maximum) weight of a closure – a set of
Directed_acyclic_graph
Type of spanning tree
this tie-breaking rule is needed to prevent loops when there exist zero-length cycles. Construct the shortest-path tree using the edges between each node
Shortest-path_tree
Concept in combinatorics
this problem we use a bivariate generating function g(z, u) as described in the introduction. The value of b for a cycle not of size m is zero, and one
Random_permutation_statistics
Graph with at most one cycle per component
component has at most one cycle. That is, it is a system of vertices and edges connecting pairs of vertices, such that no two cycles of consecutive edges share
Pseudoforest
Central region of the Sun
which is responsible for most of the Sun's released energy – and the CNO cycle. The composition of the Sun varies with depth. In the photosphere, it is
Solar_core
Class of pseudorandom number generators
{ uint32_t a; } XorShift32State; // The state must be initialized to non-zero uint32_t xorshift32(XorShift32State* state) { // Algorithm "xor" from p.
Xorshift
Power supply with switching regulator
zero magnetic flux every cycle. Chopper controller: The output voltage is coupled to the input thus very tightly controlled In a quasi-resonant zero
Switched-mode_power_supply
Process of producing a flight plan
weight empty is the basic weight of the aircraft when ready for operation, including crew but excluding any payload or usable fuel. Zero fuel weight is
Flight_planning
series of registers or latches (the number of registers or latches can be zero). Each vertex has a value corresponding to the delay through the combinational
Retiming
Problem in mathematics
rational weights, and a set of directed arcs A with positive rational weights that covers each edge or arc at least once at minimal cost. The problem has been
Mixed_Chinese_postman_problem
Plug-in electric vehicles with two or three wheels
February 2020. "Zero Motorcycles". Zero Motorcycles. Retrieved 3 October 2020. Chris Neiger (15 October 2013). "Solving electric cars' quiet problem". BBC Autos
Electric motorcycles and scooters
Electric_motorcycles_and_scooters
Airbreathing jet engine designed to provide thrust by driving a fan
to be chosen independently of the gas generator cycle. The working substance of the thermodynamic cycle is the only mass accelerated to produce thrust
Turbofan
Pressurized gas or liquid in a heat engine
the maximum temperature of the cycle should not be excessive. Very high pressures lead to mechanical stress problems, and therefore, unnecessarily expensive
Working_fluid_selection
Method of partitioning data points into groups based on their similarity
correlation clustering problem in terms of non-negative edge weights and a partition of the edges into attractive and repulsive edges the problem is also formulated
Correlation_clustering
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
Vehicle propelled fully or mostly by electricity
current output versus lead-acid batteries—has revived public interest as zero-emission vehicle options. Manufacturers mostly switched to hybrids that use
Electric_vehicle
do not decrease cost is that it may cycle over assignments of the same cost. Tabu search overcomes this problem by maintaining a list of "forbidden"
Local search (constraint satisfaction)
Local_search_(constraint_satisfaction)
Graph-theoretic description of polyhedra
one more vertex v {\displaystyle v} , finding a linear function that is zero on the resulting set of k {\displaystyle k} vertices, and following the paths
Steinitz's_theorem
Theoretical engine
out of flooded salt mines. Carnot defined work as "weight lifted through a height". The Carnot cycle when acting as a heat engine consists of the following
Carnot_heat_engine
Family of related bitwise operations on machine words
ctz(2⌈log2(x)⌉) (which depends on ctz returning w for the zero input) On platforms with an efficient Hamming weight (population count) operation such as SPARC's POPC
Find_first_set
Highly refined form of kerosene used as rocket fuel
new operating cycles, in attempts to better manage leftover fuel, achieve a more-gradual cooldown, or both. This still leaves the problem of non-dissociated
RP-1
Military aircraft for air-to-air combat
as the means of propulsion, further increasing aircraft speed. Since the weight of the turbojet engine was far less than a piston engine, having two engines
Fighter_aircraft
Rocket engine that uses liquid fuels and oxidizers
the rocket suffers from uncommanded cycles of acceleration. Liquid propellants often need ullage motors in zero-gravity or during staging to avoid sucking
Liquid-propellant_rocket
Links are weighted as in the classical problem. At the beginning of the algorithm, nodes know only the weights of the links which are connected to them
Distributed minimum spanning tree
Distributed_minimum_spanning_tree
Problem in mathematical sociology
claims problem with priorities. Another variant is called a claims problem with weights. There are various rules for solving bankruptcy problems in practice
Bankruptcy_problem
Graph with tight clique-coloring relation
belong to the clique and zero in the remaining columns. The integral linear programs encoded by this matrix seek the maximum-weight independent set of the
Perfect_graph
Mechanism for regulating the speed of clocks
friction during its cycle and keep the timekeeper oscillating. The escapement is driven by force from a coiled spring or a suspended weight, transmitted through
Escapement
ZERO WEIGHT-CYCLE-PROBLEM
ZERO WEIGHT-CYCLE-PROBLEM
Surname or Lastname
English
English : variant spelling of Hight.
Boy/Male
Biblical
Root, that straitens or binds, that keeps tight.
Boy/Male
English American Anglo Saxon
Craftsman.
Male
English
English occupational surname transferred to forename use, derived from Old English wryhta/wyrhta, WRIGHT means "craftsman."
Biblical
root; that straightens or binds; that keeps tight
Girl/Female
American, Australian
Form of Leigh or Leah
Boy/Male
Arabic
Empty.
Male
Italian
 Short form of Italian Raniero, NERO means "wise warrior." Compare with another form of Nero.
Male
Finnish
Finnish form of German Erich, EERO means "ever-ruler."Â
Boy/Male
Arabic, Australian, German, Greek, Kurdish
Empty; Void
Surname or Lastname
English, Scottish, and northern Irish
English, Scottish, and northern Irish : occupational name for a maker of machinery, mostly in wood, of any of a wide range of kinds, from Old English wyrhta, wryhta ‘craftsman’ (a derivative of wyrcan ‘to work or make’). The term is found in various combinations (for example, Cartwright and Wainwright), but when used in isolation it generally referred to a builder of windmills or watermills.Common New England Americanized form of French Le Droit, a nickname for an upright person, a man of probity, from Old French droit ‘right’, in which there has been confusion between the homophones right and wright.
Female
English
English name derived from the vocabulary word, from Latin delectare, DELIGHT means "to allure, delight."Â
Surname or Lastname
English
English : variant spelling of Waite.
Female
Greek
(ἩÏá½¼) Greek name derived form the word hÄ“rÅs, HERO means "hero." In mythology, this is the name of the lover of Leandros (Latin Leander).
Boy/Male
Anglo, Australian, British, Christian, English
Craftsman; Carpenter
Girl/Female
Latin
Mother of Asopus.
Surname or Lastname
English
English : topographic name for someone who lived at the top of a hill (see Hight).
Male
Finnish
Short form of Finnish Antero, TERO means "man; warrior."
Surname or Lastname
English
English : variant of Wight.
Male
Spanish
Spanish name derived from Latin juniperus, JUNÃPERO means "juniper tree."
ZERO WEIGHT-CYCLE-PROBLEM
ZERO WEIGHT-CYCLE-PROBLEM
Girl/Female
Muslim
Voice, Call
Male
Arthurian
, (strong); a king of Britain.
Biblical
observant
Girl/Female
Hindu, Indian
Hindu Goddess
Boy/Male
Teutonic
Resolute defender.
Boy/Male
Tamil
Deekshin | திகà¯à®·à¯€à®¨
Initiated, Consecrated
Male
Russian
(ФаддеÌй) Russian form of Greek Thaddaios, FADDEI means "courageous."
Girl/Female
Tamil
Friend
Girl/Female
Arabic, Muslim
Happy; Honey
Male
Scottish
Modern contracted form of Scottish Gaelic Muiredach, MUIREACH means "sea warrior."
ZERO WEIGHT-CYCLE-PROBLEM
ZERO WEIGHT-CYCLE-PROBLEM
ZERO WEIGHT-CYCLE-PROBLEM
ZERO WEIGHT-CYCLE-PROBLEM
ZERO WEIGHT-CYCLE-PROBLEM
n.
Fig.: The lowest point; the point of exhaustion; as, his patience had nearly reached zero.
pl.
of Zero
n.
A bicycle or tricycle, or other light velocipede.
imp. & p. p.
of Cycle
v. t.
To assign a weight to; to express by a number the probable accuracy of, as an observation. See Weight of observations, under Weight.
superl.
Having weight; heavy; ponderous; as, a weighty body.
n.
An interval of time in which a certain succession of events or phenomena is completed, and then returns again and again, uniformly and continually in the same order; a periodical space of time marked by the recurrence of something peculiar; as, the cycle of the seasons, or of the year.
n.
The quotient of a unit divided by eight; one of eight equal parts; an eighth part.
v. t.
A definite mass of iron, lead, brass, or other metal, to be used for ascertaining the weight of other bodies; as, an ounce weight.
n.
One entire round in a circle or a spire; as, a cycle or set of leaves.
v. t.
To load with a weight or weights; to load down; to make heavy; to attach weights to; as, to weight a horse or a jockey at a race; to weight a whip handle.
p. pr. & vb. n.
of Cycle
a.
Of or pertaining to a cycle or circle; moving in cycles; as, cyclical time.
n.
Weight.
v. t.
A ponderous mass; something heavy; as, a clock weight; a paper weight.
n.
The sum of eight times ten; eighty units or objects.
v. i.
To ride a bicycle, tricycle, or other form of cycle.
v. t.
A scale, or graduated standard, of heaviness; a mode of estimating weight; as, avoirdupois weight; troy weight; apothecaries' weight.
v. t.
Hence, pressure; burden; as, the weight of care or business.
v. i.
To pass through a cycle of changes; to recur in cycles.