Among all working mathematicians at the turn of the millennium who have a finite Erdős number, the numbers range up to 15, the median is 5, and the mean is 4.65 almost everyone with a finite Erdős number has a number less than 8.

Because of the restriction that the number of possible states in a finite state machine is finite, we can see that to find a language that is not regular, we must construct a language that would require an infinite number of states.

It can be interpreted as taking multiple paths of computation simultaneously through a finite number of states.

For a non relativistic system consisting of a finite number of distinguishable particles, the component systems are the individual particles.

Oil is a finite resource.

The entire procedure is a finite number of steps, since at some point the algorithm will be required for n 1.

The earliest person known to have a finite Erdős number is either Richard Dedekind (born 1831, Erdős number 7) or Ferdinand Georg Frobenius (born 1849, Erdős number 3), depending on the standard of publication eligibility.

Mathematically speaking, the simplification reduces the state space of the system to a finite dimension, and the partial differential equations (PDEs) of the continuous (infinite dimensional) time and space model of the physical system into ordinary differential equations (ODEs) with a finite number of parameters.

For example, formula_1is a finite set with five elements.

If it could not be stated in a finite way then it could not be learned through a finite, empirical method such as the way humans learn their languages.

Meanwhile, all of them will be competing for a finite number of customers, and those companies that make progress will then have to compete for scarcer scale up capital.

See also Finite element method Finite element method in structural mechanics Structural analysis Flexibility method List of finite element software packages External links Application of direct stiffness method to a 1 D Spring System Matrix Structural Analysis Animations of Stiffness Analysis Simulations References Felippa, Carlos A.

These countries already understand that water is a renewable but finite resource.

Less than half of the sphere can be projected onto a finite map.

In set theory, an infinite set is a set that is not a finite set.

It follows that it must be possible to give a theoretical semantics for any natural language which could give the meanings of an infinite number of sentences on the basis of a finite system of axioms.

Then for every integer formula_5 there is a finite decimal formula_6 such that formula_7Proof Let formula_8, where formula_9.

About 80 per cent of world primary energy is supplied from fossil fuels, a finite resource.

For the West, especially the US, every problem should have a solution within a finite period of time.

Thinley put it simply We are each finite and fragile physical beings.

In mathematics, an information source is a sequence of random variables ranging over a finite alphabet Γ, having a stationary distribution.

But fortunately there is a finite size that you can see, and that's known as the Schwarzschild radius.

Clearly, the set of even numbers is infinitely large there is no requirement that a set be finite.

For many people, sustainability is associated with finite natural resources and the environment.

The demands on the United Nations are always growing, but resources are finite.

In the case of Lampropeltis catalinensis , for example, only a single specimen exists, so classification is not necessarily finite.

Vacancy management and filling vacant posts in a timely manner are not finite activities they require constant analysis and action.

A word on an alphabet is a finite sequence of symbols from the alphabet the same symbol may be used more than once.

A set is recursive if and only if it is either the range of an increasing total recursive function or finite.

Also, in general, a push down automaton can behave just like a finite state machine, so it can decide any language which is regular.

Grant supported subsidies would remain in place for a finite period, and donors would gradually phase them out as aid programs expire.

George Glauberman (born March 3, 1941, New York City) is a mathematician at the University of Chicago who works on finite simple groups.

In sum, he proposed that it must be possible to distinguish a finite number of distinct grammatical features of a language, and for each of them explain its workings in such a way as to generate trivial (obviously correct) statements of the truth conditions of all the (infinitely many) sentences making use of that feature.

Even though it has delivered many benefits, it is based on a crazy idea the crazy idea being that we can have infinite growth on a finite planet.

Although the procedure may use only a finite amount of storage space during a successful computation, there is no bound on the amount of space that is used.

It seems that older historic figures such as Leonhard Euler (born 1707) do not (yet) have finite Erdős numbers.

It is also a idoneal number, a pentatope number, a pronic number, a Harshad number, and an untouchable number.

Degrowth therefore sees sustainable development as an oxymoron, as any development based on growth in a finite and environmentally stressed world is seen as inherently unsustainable.

First, the gold standard s central premise was a finite quantity of gold in the world more of it cannot be created or discovered, at least not quickly.

For instance, due to the existence of a fixed and finite speed of light there will always be more latency on accessing resources distant from the user.

Recently, the Copenhagen Consensus project gathered some of the world s leading economists to decide how to do the most good for the planet in a world of finite resources.

And yet the Club of Rome s basic insight that we live and work in a finite global ecosystem, with exhaustible resources and capacities has returned to challenge us again.

In the bounded coarse structure, these sets are the bounded sets, and the functions are the ones that are a finite distance from the identity in the uniform metric.

Transfinite numbers are numbers that are infinite in the sense that they are larger than all finite numbers, yet not necessarily absolutely infinite.

Round off Round off errors arise because it is impossible to represent all real numbers exactly on a machine with finite memory (which is what all practical digital computers are).