Tank and vehicle production was a constant problem for Germany ; indeed, late in the war many panzer " divisions " had no more than a few dozen tanks.

As the system in Czech repeatedly produces very weak governments ( a specific problem is that about 15 % of the electorate support the Communists, who are shunned by all the other parties ) there is constant talk about changing it but without much chance of really pushing the reform through.

Because many outstanding problems in number theory, such as Goldbach's conjecture are equivalent to solving the halting problem for special programs ( which would basically search for counter-examples and halt if one is found ), knowing enough bits of Chaitin's constant would also imply knowing the answer to these problems.

But as the halting problem is not generally solvable, and therefore calculating any but the first few bits of Chaitin's constant is not possible, this just reduces hard problems to impossible ones, much like trying to build an oracle machine for the halting problem would be.

That those hooks that survive cannot be used is the constant problem in archaeology: what was commonly used may have been usually worn out and didn't survive.

While every computable number is definable, the converse is not true: the numeric representations of the Halting problem, Chaitin's constant, the truth set of first order arithmetic, and 0 < sup >#</ sup > are examples of numbers that are definable but not computable.

Derrida would argue there about the problem he found in the constant appeal to " normality " in the analytical tradition from which Austin and Searle were only paradigmatic examples.

The Whites ' bridgehead south of the River Vuoksi at Antrea on the Karelian Isthmus was a constant problem to the Reds, as it threatened the railway connection Viipuri-Petrograd.

A 1995 article in Science describes the value of number theory problems in discovering computer bugs and gives the mathematical background and history of Brun's constant, the problem Nicely was working on when he discovered the bug.

However, it is a long-standing ( since 1975 ) open problem to improve the Christofides approximation factor of 1. 5 for general metric TSP to a smaller constant.

A problem arises with inclusion of the cosmological constant in the standard model: i. e., the appearance of solutions with regions of discontinuities ( see classification of discontinuities at typical matter density ).

This is the cosmological constant problem, the worst problem of fine-tuning in physics: there is no known natural way to derive the tiny cosmological constant used in cosmology from particle physics.

( 1999 ) partly solves the cosmological constant problem.

To be precise, for every constant r there is an instance of the traveling salesman problem such that the length of the tour length computed by the nearest neighbour algorithm is greater than r times the length of the optimal tour.

Political posturing and infighting between imperial relatives and eunuch officials was a constant problem in Chinese government at the time.

The constant k must be determined to allow a non-trivial v to satisfy the boundary condition on C. Such values of k < sup > 2 </ sup > are called the eigenvalues of the Laplacian in D, and the associated solutions are the eigenfunctions of the Laplacian in D. The Sturm – Liouville theory may be extended to this elliptic eigenvalue problem ( Jost, 2002 ).

He would also argument about the problem he found in the constant appeal to " normality " in the analytical tradition of which Austin and Searle were only paradigmatic examples.

The constant problem to be overcome was diaper rash and infection.

Mechanical and electrical failures were a constant problem throughout filming, and caused several of special effects leader Tom Savini's props to fail during the filming.

Lorre became trapped between the constant pain and addiction to morphine to ease the problem.

Marc Davis and Claude Coats, two of the mansion's main designers, were in a constant argument over whether the ride should be scary or funny.

It is under constant development by a community of open source developers led by Paul Davis ( who won an Open Source Award in 2004 for this work ) and has been a key piece of infrastructure and the de-facto standard for professional audio software on Linux since its inception in 2002.

He was in constant pain, but was in the race for a batting title along with Roberto Clemente, Dick Groat and Tommy Davis, eventually finishing fifth.

From 1998 to 2003, the band's lineup of Furler, bassist Phil Joel, guitarist Jody Davis, keyboardist Jeff Frankenstein, and Phillips stayed constant.

* Sigmartyr – A dark science fiction action comic created by Nick Davis, that is set in a gritty world devastated by a constant conflict between the League Alliance and the Omega Coalition.

His guides are a cranky, anti-semitic grandfather ( played by Boris Leskin ); his deranged Border collie named Sammy Davis Jr. Jr .; and his over-enthusiastic grandson, Alex ( played by Eugene Hutz ), whose fractured command of English, passion for American pop culture, and constant chatter threaten to make the worst of every situation.

In any case, Miss Millay's sweet-throated bitterness, her variations on the theme that the world was not only well lost for love but even well lost for lost love, her constant and wonderfully tragic posture, so unlike that of Fitzgerald since it required no scenery or props, drew from the me that I was when I fell upon her verses an overwhelming yea.

The theory predicts a linear dependence of Af on Af, where J is the experimentally determined Curie-Weiss constant.

There remains a residue of total costs, or total `` revenue requirements '' which, since it is found to behave as if it were constant over substantial variations in traffic density, is strictly unallocable on a cost-finding basis.

) In a mobile society, congregational health depends on a constant process of recruitment ; ;

With the definitions used before 2012, the astronomical unit was dependent on the heliocentric gravitational constant, that is the product of the gravitational constant G and the solar mass M < sub >☉</ sub >.

In particular, time intervals measured on the surface of the Earth ( terrestrial time, TT ) are not constant when compared to the motions of the planets: the terrestrial second ( TT ) appears to be longer in Northern Hemisphere winter and shorter in Northern Hemisphere summer when compared to the " planetary second " ( conventionally measured in barycentric dynamical time, TDB ).

As the meter is defined in terms of the second, and the speed of light is constant for all observers, the terrestrial meter appears to change in length compared to the " planetary meter " on a periodic basis.

For an ideal gas, the temperature remains constant because the internal energy only depends on temperature in that case.

An adiabat is a curve of constant entropy on the P-V diagram.

# If adiabats and isotherms are graphed severally at regular changes of entropy and temperature, respectively ( like altitude on a contour map ), then as the eye moves towards the axes ( towards the south-west ), it sees the density of isotherms stay constant, but it sees the density of adiabats grow.

Theorem: If K < sub > 1 </ sub > and K < sub > 2 </ sub > are the complexity functions relative to description languages L < sub > 1 </ sub > and L < sub > 2 </ sub >, then there is a constant c – which depends only on the languages L < sub > 1 </ sub > and L < sub > 2 </ sub > chosen – such that

This algorithm, for all strings, allows codes as short as allowed by any other algorithm up to an additive constant that depends on the algorithms, but not on the strings themselves.

He is immediately at a loss, and knows not what to answer ... a Pyrrhonian cannot expect, that his philosophy will have any constant influence on the mind: or if it had, that its influence would be beneficial to society.

The principle it works on, the constant of simultaneity, is analogous in some ways to gravity ... One point has to be fixed, on a planet of certain mass, but the other end is portable.

When the effects of compressibility on the solution are small, the aerodynamicist may choose to assume that density is constant.

If F is an antiderivative of f, and the function f is defined on some interval, then every other antiderivative G of f differs from F by a constant: there exists a number C such that G ( x ) = F ( x ) + C for all x.

If the net force on some body is directed always toward some fixed point, the center, then there is no torque on the body with respect to the center, and so the angular momentum of the body about the center is constant.

For any system, the following restrictions on measurement results apply, where is the reduced Planck constant and is any direction vector such as x, y, or z:

Detailed analysis shows that the complexity class is unchanged by allowing error as high as 1 / 2 − n < sup >− c </ sup > on the one hand, or requiring error as small as 2 < sup >− n < sup > c </ sup ></ sup > on the other hand, where c is any positive constant, and n is the length of input.