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Computational problem in graph theory
maximum flow problems involve finding a feasible flow through a flow network that obtains the maximum possible flow rate. The maximum flow problem can
Maximum_flow_problem
Equivalence of optimization problems
science and optimization theory, the max-flow min-cut theorem states that in a flow network, the maximum amount of flow passing from the source to the sink
Max-flow_min-cut_theorem
Mathematical optimization problem
minimum-cost flow problem (MCFP) is an optimization and decision problem to find the cheapest possible way of sending a certain amount of flow through a flow network
Minimum-cost_flow_problem
Class of computational problems
Specific types of network flow problems include: The maximum flow problem, in which the goal is to maximize the total amount of flow out of the source terminals
Network_flow_problem
Directed graph where edges have a capacity
Commons has media related to Flow networks. Maximum Flow Problem Real graph instances Lemon C++ library with several maximum flow and minimum cost circulation
Flow_network
Computational problem in graph theory
polynomial time using a reduction to the maximum flow problem. It may be used to model various application problems of choosing an optimal subset of tasks
Closure_problem
Algorithm in mathematical optimization
(alternatively, preflow–push algorithm) is an algorithm for computing maximum flows in a flow network. The name "push–relabel" comes from the two basic operations
Push–relabel maximum flow algorithm
Push–relabel_maximum_flow_algorithm
Network flow problem (mathematics)
multi-commodity flow problem is a network flow problem with multiple commodities (flow demands) between different source and sink nodes. Given a flow network
Multi-commodity_flow_problem
Sequence of operations for a task
problem in this category, such as the popular simplex algorithm. Problems that can be solved with linear programming include the maximum flow problem
Algorithm
Generalization of network flow problems
circulation problem and its variants are a generalisation of network flow problems, with the added constraint of a lower bound on edge flows, and with flow conservation
Circulation_problem
Algorithm for maximum cardinality matching
matching problem is closely related to the augmenting paths arising in maximum flow problems, paths along which one may increase the amount of flow between
Hopcroft–Karp_algorithm
Directed graph with no directed cycles
to the same problem on the condensation of the graph. It may be solved in polynomial time using a reduction to the maximum flow problem. Some algorithms
Directed_acyclic_graph
Overview of and topical guide to algorithms
algorithm Maximum flow problem Ford–Fulkerson algorithm Edmonds–Karp algorithm Push–relabel maximum flow algorithm Minimum-cost flow problem Bipartite
Outline_of_algorithms
American mathematician (1927–2017)
in network flow problems. He was the son of mathematician Lester R. Ford Sr. Ford's paper with D. R. Fulkerson on the maximum flow problem and the Ford–Fulkerson
L._R._Ford_Jr.
Graph which remains connected when fewer than k edges are removed
would perform O ( n 2 ) {\displaystyle O(n^{2})} iterations of the Maximum flow problem, which can be solved in O ( n 3 ) {\displaystyle O(n^{3})} time.
Edge_connectivity
American mathematician
Ford–Fulkerson algorithm, one of the best-known algorithms for solving the maximum flow problem in networks. D. R. Fulkerson was born in Tamms, Illinois, the third
D._R._Fulkerson
American computer scientist and mathematician
for industrial and Applied Mathematics 1988: A new approach to the maximum-flow problem, V Goldberg, RE Tarjan, Journal of the ACM (JACM) 35 (4), 921-940
Robert_Tarjan
Polynomial-time algorithm for the assignment problem
running time. Ford and Fulkerson extended the method to general maximum flow problems in form of the Ford–Fulkerson algorithm. In this simple example
Hungarian_algorithm
Path-finding using high-weight graph edges
maximum flows. A closely related problem, the minimax path problem or bottleneck shortest path problem asks for the path that minimizes the maximum weight
Widest_path_problem
American mathematician (1914–2005)
Dantzig–Wolfe decomposition Knapsack problem Maximum flow problem Optimization (mathematics) Travelling salesman problem Shadow price Gass, Saul I. (2011)
George_Dantzig
Optimization technique
these energy minimization problems can be approximated by solving a maximum flow problem in a graph (and thus, by the max-flow min-cut theorem, define a
Graph cuts in computer vision and artificial intelligence
Graph_cuts_in_computer_vision_and_artificial_intelligence
Recursive algorithm in graph theory
cut. In practice, the minimum cut problem is always discussed with the maximum flow problem, to explore the maximum capacity of a network, since the minimum
Stoer–Wagner_algorithm
Combinatorial optimization problem
dj. An integral maximum flow of minimum cost can be found in polynomial time; see network flow problem. Every integral maximum flow in this network corresponds
Assignment_problem
Least-weight tree connecting graph vertices
problem (which is equivalent in the single-terminal case to the maximum flow problem), and approximating the minimum-cost weighted perfect matching. Other
Minimum_spanning_tree
Algorithm for computing the maximal flow of a network
algorithm is a strongly polynomial algorithm for computing the maximum flow in a flow network, conceived in 1970 by Israeli (formerly Soviet) computer
Dinic's_algorithm
Integer matrices with +1 or −1 determinant; invertible over the integers. GL_n(Z)
of maximum flow and minimum cost flow problems yield a coefficient matrix with these properties (and with empty C). Thus, such network flow problems with
Unimodular_matrix
Graph theory problem: find a matching containing the most edges
algorithm solves the more general problem of computing the maximum flow. A bipartite graph (X + Y, E) can be converted to a flow network as follows. Add a source
Maximum-cardinality_matching
Method of estimating the parameters of a statistical model, given observations
In statistics, maximum likelihood estimation (MLE) is a method of estimating the parameters of an assumed probability distribution, given some observed
Maximum_likelihood_estimation
Algorithm to compute the maximum flow in a network
Ford–Fulkerson algorithm (FFA) is a greedy algorithm that computes the maximum flow in a flow network. It is sometimes called a "method" instead of an "algorithm"
Ford–Fulkerson_algorithm
Mathematical propositions in network flow theory
multi-commodity flow problems. The classic max-flow min-cut theorem states that for networks with a single type of flow (single-commodity flows), the maximum possible
Approximate max-flow min-cut theorem
Approximate_max-flow_min-cut_theorem
American mathematician
travelling salesman problem. In 1971 he co-developed with Jack Edmonds the Edmonds–Karp algorithm for solving the maximum flow problem on networks, and in
Richard_M._Karp
Class of computational problem
Flow-shop scheduling is an optimization problem in computer science and operations research. It is a variant of optimal job scheduling. In a general job-scheduling
Flow-shop_scheduling
Framework in mathematics
DTW-equivalent shortest path problem to the maximum flow problem in the dual graph, which can be solved by most max-flow algorithms. However, when the
Graphical_time_warping
Abstract computer for designing parallel algorithms
PRAM algorithm for the maximum flow problem can provide strong speedups relative to the fastest serial program for the same problem. The article Ghanim,
Parallel_RAM
Set of edges without common vertices
a largest matching in a bipartite graph can be treated as a network flow problem. Finding a largest matching in a general graph is much more difficult;
Matching_(graph_theory)
Optimization problem in mathematics
{\displaystyle R_{i,j},A_{i,j}} the above integer program is the dual of a maximum flow problem and therefore solvable in polynomial time. Not all choices for these
Rectangle_packing
Numerical analysis of electric power flow
power-flow study is a numerical analysis of the flow of electric power in an interconnected system. It is also known as power-flow analysis, load-flow study
Power-flow_study
are consistent in all respects with those given in a discussion of the maximum-flow minimum-cut theorem. Cederbaum's theorem applies to a particular type
Cederbaum's maximum flow theorem
Cederbaum's_maximum_flow_theorem
Russian mathematician (born 1947)
preflow-push based algorithms for the maximum flow problem, and the co-inventor of the Hopcroft–Karp–Karzanov algorithm for maximum matching in bipartite graphs
Alexander_V._Karzanov
American computer scientist
on the maximum flow problem[GT88][CG97][GR98] and shortest path problem,[CGR96][GH05] including the discovery of the push–relabel maximum flow algorithm
Andrew_V._Goldberg
Partition of a graph by removing fewest possible edges
weighted min-cut problem allowing both positive and negative weights can be trivially transformed into a weighted maximum cut problem by flipping the sign
Minimum_cut
Computational problem of graph theory
flow problem typically involves a directed graph where each edge represents a pipe, wire, or road, and each edge has a capacity, which is the maximum
Shortest_path_problem
Data structure for representing a forest
be used for the same purpose is Euler tour tree. In solving the maximum flow problem, link/cut trees can be used to improve the running time of Dinic's
Link/cut_tree
"5-flow conjecture". Open Problem Garden. Archived from the original on November 26, 2018. mdevos (March 31, 2010). "4-flow conjecture". Open Problem Garden
List of unsolved problems in mathematics
List_of_unsolved_problems_in_mathematics
Combinatorial optimization method for a family of functions of discrete variables
computing the maximum flow over the network. Given a pseudo-Boolean function f {\displaystyle f} , if it is possible to construct a flow network with positive
Graph_cut_optimization
(CGO'03), 91-104, 2003. Xue, J. and Knoop, J. A Fresh Look at PRE as a Maximum Flow Problem. International Conference on Compiler Construction (CC'06), pages
Partial-redundancy elimination
Partial-redundancy_elimination
the Fermi–Pasta–Ulam–Tsingou problem. In network theory, Ford & Fulkerson compute a solution to the maximum flow problem. Householder invents his eponymous
Timeline of computational mathematics
Timeline_of_computational_mathematics
Study of mathematical algorithms for optimization problems
on a compact set attains its maximum point or view. One of Fermat's theorems states that optima of unconstrained problems are found at stationary points
Mathematical_optimization
American mathematician (1943–2024)
were in the field of geometric flows. In 1986, Peter Li and Shing-Tung Yau discovered a new method for applying the maximum principle to control the solutions
Richard_S._Hamilton
Algebra whose elements are stable matchings
order. The closure problem can, in turn, be solved in polynomial time by transforming it into an instance of the maximum flow problem. Dan Gusfield has
Lattice_of_stable_matchings
Weighted tree representing s-t cuts of a graph
pairs in the graph. The Gomory–Hu tree can be constructed in |V| − 1 maximum flow computations. It is named for Ralph E. Gomory and T. C. Hu. Let G = (
Gomory–Hu_tree
Method of analyzing variables in software
block starts in a state with a value less than the maximum. The details depend on the data-flow problem. If the minimum element represents totally conservative
Data-flow_analysis
Method to solve optimization problems
linear programming problems. Certain special cases of linear programming, such as network flow problems and multicommodity flow problems, are considered
Linear_programming
Edges that hit all cycles in a graph
feedback arc set and its removal leaves a maximum acyclic subgraph; weighted versions of these optimization problems are also used. If a feedback arc set is
Feedback_arc_set
Fulkerson Flows in Networks. Prentice-Hall, 1962. Presents the Ford–Fulkerson algorithm for solving the maximum flow problem, along with many ideas on flow-based
List of publications in mathematics
List_of_publications_in_mathematics
Number used to indicate probability of winning tournaments
whether a team has been eliminated by use of the algorithm for the maximum flow problem. The addition of a second Wild Card team makes the reverse scenario
Magic_number_(sports)
Type of diagram
the maximum number of vehicles can pass by a point in a given time period. The flow and capacity at which this point occurs is the optimum flow and optimum
Fundamental diagram of traffic flow
Fundamental_diagram_of_traffic_flow
Algorithm in graph theory
algorithm. The algorithm is usually formulated in terms of a minimum-cost flow problem. The network simplex method works very well in practice, typically 200
Network_simplex_algorithm
Partial differential equation
geometric analysis, the Ricci flow (/ˈriːtʃi/ REE-chee, Italian: [ˈrittʃi]), sometimes also referred to as Hamilton's Ricci flow, is a certain partial differential
Ricci_flow
Branch of fluid mechanics
flow, however, the gas density and temperature also become variables. This requires two more equations in order to solve compressible-flow problems:
Compressible_flow
Algorithm to compute the maximum flow in a flow network
an implementation of the Ford–Fulkerson method for computing the maximum flow in a flow network in O ( | V | | E | 2 ) {\displaystyle O(|V||E|^{2})} time
Edmonds–Karp_algorithm
time by transforming the problem into an instance of the maximum flow problem. For unit disks with bounded ply (the maximum number of disks that have
Barrier_resilience
set problem, i.e., the dominating set problem in line graphs. NP-complete variants include the connected dominating set problem and the maximum leaf
List_of_NP-complete_problems
Motion characterized by chaotic changes in pressure and flow velocity
turbulent flow is fluid motion exhibiting chaotic changes in pressure and flow velocity. It is in contrast to laminar flow, which occurs when a fluid flows in
Turbulence
Study of interactions between travellers and infrastructure
movement of traffic and minimal traffic congestion problems. The foundation for modern traffic flow analysis dates back to the 1920s with Frank Knight's
Traffic_flow
Flow where fluid particles follow smooth paths in layers
flow is in the smooth flow of a viscous liquid through a tube or pipe. In that case, the velocity of flow varies from zero at the walls to a maximum along
Laminar_flow
Optimization problem
The vehicle routing problem (VRP) is a combinatorial optimization and integer programming problem which asks "What is the optimal set of routes for a
Vehicle_routing_problem
Optimization algorithm
Sequential ordering problem (SOP) Job-shop scheduling problem (JSP) Open-shop scheduling problem (OSP) Permutation flow shop problem (PFSP) Single machine
Ant colony optimization algorithms
Ant_colony_optimization_algorithms
American computer scientist and educator
cut problem. He was named an ACM Fellow in 2013 for contributions to algorithms for graph partitioning and for single- and multi-commodity flows. Rao
Satish_B._Rao
Algorithm for linear programming
has a maximum value on the feasible region, then it has this value on (at least) one of the extreme points. This in itself reduces the problem to a finite
Simplex_algorithm
{\displaystyle O((n+m)^{5}\log(u_{\max })+(n+m)^{4}\log {B_{\max }})} maximum flow problems, and thus it runs in time O ( ( n + m ) 8 log ( u max ) + ( n
Fisher_market
Subfield of mathematical optimization
optimization is a subfield of mathematical optimization that studies the problem of minimizing convex functions over convex sets (or, equivalently, maximizing
Convex_optimization
On bipartite matching and vertex cover
Kőnig (1931), describes an equivalence between the maximum matching problem and the minimum vertex cover problem in bipartite graphs. It was discovered independently
Kőnig's theorem (graph theory)
Kőnig's_theorem_(graph_theory)
Partition of a graph's nodes into 2 disjoint subsets
max in the objective function. The max-flow problem is the dual of the min-cut problem. The sparsest cut problem is to bipartition the vertices so as to
Cut_(graph_theory)
Volume of fluid which passes per unit time
engineering, in particular fluid dynamics, the volumetric flow rate (also known as volume flow rate, or volume velocity) is the volume of fluid which passes
Volumetric_flow_rate
Electrical power regulating system
slack bus is crucial to a load flow problem since it will account for transmission line losses. In a load flow problem, conservation of energy results
Slack_bus
Mathematical optimization problem restricted to integers
This problem can be formulated as an integer linear program in which binary variables indicate whether a frequency is assigned to an antenna. Cash flow matching
Integer_programming
Concept in graph theory
In graph theory, a nowhere-zero flow or NZ flow is a network flow that is nowhere zero. It is intimately connected (by duality) to coloring planar graphs
Nowhere-zero_flow
System involved in supplying a product or service to a consumer
customers, while supply chain management focuses on the optimization of the flow of goods within the supply chain's distribution channels to ensure efficiency
Supply_chain
flow problems. In fact the preflow-push algorithm for max-flow can be derived by applying the original 1979 auction algorithm to the max flow problem
Auction_algorithm
Subfield of mathematical optimization
optimally Designing water distribution networks Earth science problems (e.g. reservoir flow-rates) There is a large amount of literature on polynomial-time
Combinatorial_optimization
Optimization algorithm
climbing will not necessarily find the global maximum, but may instead converge on a local maximum. This problem does not occur if the heuristic is convex
Hill_climbing
Engineering ratio
requires a turndown ratio of at least 10:1. If the meter had an advertised maximum flow of 2,000,000 m3 per day then the required turndown ratio would be 20:1
Turndown_ratio
Streamlined body for generating lift
air flow close to the upper surface rapidly becomes turbulent past the maximum thickness point, which increases the skin friction drag. A laminar flow wing
Airfoil
quantity per flush. Some of these low-flow fixtures are faucets, showerheads, and toilets. In the United States a maximum water usage of conventional plumbing
Low-flow_fixtures
Solving an optimization problem with a quadratic objective function
with G has a maximum that is function of the clique number of G. Computing the clique number of a graph is a well-known NP-hard problem; hence, solving
Quadratic_programming
the maximum flow to at most K/2, until the maximum flow becomes 0. So there are log2K iterations, each of which runs in time O(w m). The network flow algorithms
Optimal_stable_matching
Problem optimization method
simplifying a complicated problem by breaking it down into simpler sub-problems in a recursive manner. While some decision problems cannot be taken apart
Dynamic_programming
Analysis in fluid dynamics
adjustment doesn't solve the problem, since most networks have several loops. It is okay to use this adjustment, however, because the flow changes won't alter
Pipe_network_analysis
Principle relating to fluid dynamics
pressure of the surrounding air. A third problem is that it is false to make a connection between the flow on the two sides of the paper using Bernoulli's
Bernoulli's_principle
Principle in mathematical optimization
vector (a list) of n values that achieves the maximum value for the objective function. In the dual problem, the objective function is a linear combination
Duality_(optimization)
Law describing the pressure drop in an incompressible and Newtonian fluid
zero, the original problem is recovered. Flow through pipes with an oscillating pressure gradient finds applications in blood flow through large arteries
Hagen–Poiseuille_equation
Problem in computer networking
window syndrome (SWS) is a problem in computer networking caused by poorly implemented TCP flow control. A serious problem can arise in the sliding window
Silly_window_syndrome
Experimental work reported in Caragea & Vishkin (2011) for the Maximum flow problem, and in two papers by Edwards and Vishkin (2012a, 2012b) for the
Explicit_multi-threading
Sequence of locally optimal choices
tasks which can be done between allotted time intervals, the problem is to determine the maximum number of tasks that can be done. A greedy algorithm in O
Greedy_algorithm
Type of electrochemical cell
A flow battery, or redox flow battery (after reduction–oxidation), is a type of electrochemical cell where chemical energy is provided by two chemical
Flow_battery
Global warming about 55 million years ago
thermal maximum (PETM), alternatively "Eocene thermal maximum 1 (ETM1)" and formerly known as the "Initial Eocene" or "Late Paleocene thermal maximum", was
Paleocene–Eocene thermal maximum
Paleocene–Eocene_thermal_maximum
Scheduling policy
fully utilized (is saturated) and of all the flows sharing this link, the data flow i achieves overall maximum data rate. Note that this definition is substantially
Max-min_fairness
Algorithm used to solve non-linear least squares problems
(DLS) method, is used to solve non-linear least squares problems. These minimization problems arise especially in least squares curve fitting. The LMA
Levenberg–Marquardt_algorithm
maximum of the distances multiplied by the corresponding flows. The problem is NP-hard, as it can be used to formulate the Hamiltonian cycle problem by
Quadratic bottleneck assignment problem
Quadratic_bottleneck_assignment_problem
MAXIMUM FLOW-PROBLEM
MAXIMUM FLOW-PROBLEM
Girl/Female
Native American American Latin
Arrow.
Girl/Female
Indian, Telugu
Flow
Surname or Lastname
English
English : variant of Clough.English : metonymic occupational name for a nailer, from Old French clou ‘nail’. Compare Clower.Possibly an Americanized spelling of German Klau, a habitational name for someone from Klau near Aachen or Clauen in Lower Saxony, or Glau, a nickname for an astute person, from Old High German, Low German glou, glau ‘circumspect’.
Surname or Lastname
English
English : from Middle English blowe, blaa, bloo ‘pale’, hence a nickname for someone with an exceptionally pale complexion.Americanized spelling of French Bleau.
Boy/Male
Indian, Sanskrit, Tamil, Telugu
Flow
Male
French
French form of Latin Maximus, MAXIME means "the greatest."Â
Girl/Female
Latin American
The mythological Roman goddess of flowers. Diminutive of Florence: From 'florentius' or...
Boy/Male
Latin
Greatest.
Surname or Lastname
English
English : unexplained; possibly a variant of Flew, a metonymic occupational name for a fisherman, from Middle English flue, denoting a kind of fishing net.
Girl/Female
American, German, Latin
Flowering; Flourishing; Flower; Blossom
Girl/Female
Australian, British, Christian, English, German, Latin
Goddess; Peaceful Soul; Form of Florence; Blooming; Flower; Arrow
Boy/Male
Bengali, Gujarati, Hindu, Indian, Jain, Kannada, Malayalam, Marathi, Sanskrit
Plenty; Maximum; Intelligent; Young and Dynamic; Earth
Boy/Male
Latin
Greatest.
Boy/Male
American, Australian, Chinese, French, German, Greek, Latin, Swedish
Greatest
Girl/Female
Latin Spanish
Flower.
Female
English
English variant spelling of French Fleur, or perhaps just a short form of Latin Flora, both FLOR means "flower."
Male
Russian
(МакÑим) Variant spelling of Russian Maksim, MAXIM means "the greatest." Compare with another form of Maxim.
Surname or Lastname
English and Scottish
English and Scottish : topographic name for someone who lived near a tumulus, mound or hill, Middle English lowe, from Old English hlÄw (see Law 2).Scottish and English : nickname for a short man, from Middle English lah, lowe (Old Norse lágr; the word was adopted first into the northern dialects of Middle English, where Scandinavian influence was strong, and then spread south, with regular alteration of the vowel quality).English and Scottish (of Norman origin) : nickname for a violent or dangerous person, from Anglo-Norman French lou, leu ‘wolf’ (Latin lupus). Wolves were relatively common in Britain at the time when most surnames were formed, as there still existed large tracts of uncleared forest.Scottish : from a pet form of Lawrence. Compare Lowry 1.Americanized spelling of Jewish Lowe.
Surname or Lastname
English
English : see Flow.
Boy/Male
British, English
Laurel
MAXIMUM FLOW-PROBLEM
MAXIMUM FLOW-PROBLEM
Boy/Male
Indian
Lord Shiva; God Hanuman
Boy/Male
Hindu
Lotus flower
Surname or Lastname
English
English : habitational name from a place in Seacroft, West Yorkshire, most probably named from an Old Norse personal name Killing + Old Norse bekkr ‘stream’.
Boy/Male
Afghan, African, Arabic, Australian, French, Indian, Iranian, Muslim, Parsi
One who Praises; Thankful; A Praiser
Girl/Female
American, Anglo, Australian, British, Chinese, Danish, English, Finnish, French, German, Hebrew, Latin, Swedish
Female Version of Michael; Who; Who is Like God
Male
Greek
(Πάν) Greek name derived from the word pa-on, PAN means "herdsman." In mythology, this is the name of a god of shepherds and flocks, who had the horns, hindquarters and legs of a goat.
Girl/Female
Latin
Star.
Male
English
English surname transferred to forename use, TRENTON means "Trent's settlement."
Boy/Male
Arabic, Australian
Prophet Mohamed
Male
Romanian
Romanian pet form of Slavic Dragomir, DRAGOÅž means "precious peace."Â
MAXIMUM FLOW-PROBLEM
MAXIMUM FLOW-PROBLEM
MAXIMUM FLOW-PROBLEM
MAXIMUM FLOW-PROBLEM
MAXIMUM FLOW-PROBLEM
v. t.
To render slow; to slacken the speed of; to retard; to delay; as, to slow a steamer.
pl.
of Maximum
v. t.
To put out of breath; to cause to blow from fatigue; as, to blow a horse.
n.
The tidal setting in of the water from the ocean to the shore. See Ebb and flow, under Ebb.
v. i.
To proceed; to issue forth; as, wealth flows from industry and economy.
n.
A low-lying piece of watery land; -- called also flow moss and flow bog.
n.
A stream of water or other fluid; a current; as, a flow of water; a flow of blood.
pl.
of Flo
v. i.
To rise, as the tide; -- opposed to ebb; as, the tide flows twice in twenty-four hours.
n. pl.
See Flo.
v. i.
To have or be in abundance; to abound; to full, so as to run or flow over; to be copious.
superl.
Not ready; not prompt or quick; dilatory; sluggish; as, slow of speech, and slow of tongue.
n.
In a curve referred to polar coordinates, any point for which the radius vector is a maximum or minimum.
n.
A self-registering thermometer, especially one that registers the maximum and minimum during long periods.
a.
Greatest in quantity or highest in degree attainable or attained; as, a maximum consumption of fuel; maximum pressure; maximum heat.
n.
The least quantity assignable, admissible, or possible, in a given case; hence, a thing of small consequence; -- opposed to maximum.
n.
The greatest quantity or value attainable in a given case; or, the greatest value attained by a quantity which first increases and then begins to decrease; the highest point or degree; -- opposed to minimum.
n.
A continuous movement of something abundant; as, a flow of words.
v. t.
To form by inflation; to swell by injecting air; as, to blow bubbles; to blow glass.
v. i.
To move with a continual change of place among the particles or parts, as a fluid; to change place or circulate, as a liquid; as, rivers flow from springs and lakes; tears flow from the eyes.