Every simple module is indecomposable, but the converse is in general not true.

ELIZA was able to converse on any topic by resorting to very simple rules that detected important words in the person's input.

But that is too simple, and won't hold up.

This is simple enough, but several more points of interest may be mentioned as relevant.

Thus the fictional detective is much more than a simple businessman.

Yet the attitude that the fate of the Presidency demands in such a situation is quite distinct from the simple courage that can proceed with battles to be fought, regardless of the consequences.

Its massive contours are rooted in the simple need of man, since he is always incomplete, to complete himself.

Moreover its posture of stubborn but simple resistance is doomed to failure because of the metaphysical weakness of the existent form of order, once the activation of change has reached visible proportions.

One who invites such trials of character is either foolhardy, overconfident or too simple and childlike in faith in mankind to see the danger.

Although it is constantly made to look foolish ( too simple to come in out of the rain, people say, who have found in the innocent an impediment ), it does not mind looking foolish because it is not concerned with how it looks.

Her clothes, her hair, everything about her is both graceful and simple.

In this domain the simple fact of coexistence in the same local, national, and world community is enough to guarantee that we cannot refrain from having some effect, large or small, upon Gentile-Jewish relations.

But simple involvement is not enough ; ;

Many readers of this department no doubt discount certain of my opinions for the simple reason that they can guess pretty accurately, even if they have never actually been told, what my age is.

`` Why '', he replied, `` it is perfectly simple ; ;

More important is the simple human point that all men suffer, and that it is a kind of anthropological-religious pride on the part of the Jew to believe that his suffering is more poignant than mine or anyone else's.

It is a simple task to haul a boat fifty or one hundred miles to a lake or reservoir on the new, light, strong, easy-to-operate trailers which are built to accommodate almost any kind of small boat and retail from $100 to $2,000.

This is a varmint load, pure and simple ; ;

You'll find, once your technique is perfected, that you can cook on a boat with a simple Bernz-O-Matic.

Fairing is always a tedious job but the work can be cut down considerably with a Skill planer and a simple jig.

Most of it is panelized and utilizes standard materials, and requires the use of only simple tools.

A relatively simple switching arrangement reverses the cycle so that the machine literally runs backward, and the heat is extracted from outdoor air and turned indoors.

One simple method of measuring the expansion of the heart is to tie a thin rubber tube, filled with mercury, around the heart and record the change in resistance as the tube is stretched.

He thought that if once, only once, he could talk with Simms Purdew, something about his own life, and all life, would be clear and simple.

If **ya is the multiple secant of **zg which passes through Af and **yb is the simple secant of **zg which passes through Af, and if Af are the points in which **ya meets **zg, and if Af is the image of Af on the generator **yb, it follows that the image of the line Af is Af.

The simple mechanical strain of overweight, says New York's Dr. Norman Jolliffe, can overburden and damage the heart `` for much the same reason that a Chevrolet engine in a Cadillac body would wear out sooner than if it were in a body for which it was built ''.

A simple illustration of such cause and effect is the case of experiencing the effects of what I cause: if I cause suffering, then as a natural consequence I will experience suffering ; if I cause happiness, then as a natural consequence I will experience happiness.

Note that this pressure increase is more than a simple 10: 1 compression ratio would indicate ; this is because the gas is not only compressed, but the work done to compress the gas has also heated the gas and the hotter gas will have a greater pressure even if the volume had not changed.

Often, if only one of the allophones is simple to transcribe, in the sense of not requiring diacritics, then that representation is chosen for the phoneme.

Also, while elementary particles showed predictable properties in many experiments, they became highly unpredictable in certain contexts, for example, if one attempted to measure their individual trajectories through a simple physical apparatus.

In simple terms, the Church – Turing thesis states that a function is algorithmically computable if and only if it is computable by a Turing machine.

This is because if a group has sectional 2-rank at least 5 then MacWilliams showed that its Sylow 2-subgroups are connected, and the balance theorem implies that any simple group with connected Sylow 2-subgroups is either of component type or characteristic 2 type.

If is a constant, the solution is particularly simple, and describes, e. g., if, the exponential decay of radioactive material at the macroscopic level.

Likewise, a design may be a simple repetition ( copy ) of a known preexisting solution, requiring minimal, if any, creativity or problem-solving skills from the designer.

In general, if R is a ring and S is a simple module over R, then, by Schur's lemma, the endomorphism ring of S is a division ring ; every division ring arises in this fashion from some simple module.

Galois constructed them as fractional linear transforms, and observed that they were simple except if p was 2 or 3.

* He noted the exceptional fact that PSL ( 2, p ) is simple and acts on p points if and only if p is 5, 7, or 11.

As a simple visual illustration, if the kinks and angles of these chains were straightened out, the molecule would have the shape of a capital letter E. The fatty acids would each be a horizontal line ; the glycerol " backbone " would be the vertical line that joins the horizontal lines.

" It's very simple: if you cut back the use of energy, then you cut back economic growth.

The renormalization group running of the three gauge couplings in the Standard Model has been found to nearly, but not quite, meet at the same point if the hypercharge is normalized so that it is consistent with SU ( 5 ) or SO ( 10 ) GUTs, which are precisely the GUT groups which lead to a simple fermion unification.

Whereas, throughout its history, the South has relished its grits, making them a symbol of its diet, its customs, its humor, and its hospitality, and whereas, every community in the State of South Carolina used to be the site of a grits mill and every local economy in the State used to be dependent on its product ; and whereas, grits has been a part of the life of every South Carolinian of whatever race, background, gender, and income ; and whereas, grits could very well play a vital role in the future of not only this State, but also the world, if as Charleston's The Post and Courier proclaimed in 1952, " An inexpensive, simple, and thoroughly digestible food, should be made popular throughout the world.

Nineteenth-century biologists reported that the Hydra was such a simple animal that it was possible to force one through gauze to separate it into individual cells ; if the cells were then left to themselves, they would regroup to form a hydra again.