Not surprisingly, crannogs have useful defensive properties, although there appears to be more significance to prehistoric use than simple defense as very few weapons or evidence for destruction appear in excavations of prehistoric crannogs.

Here are some simple but useful commutator identities, true for any elements s, g, h of a group G:

One useful result of this very simple approach ( without schedule models and actual cost accumulation ) is to compare EV curves of similar projects, as illustrated in Figure 5.

A simple but useful property, which can be seen from the limit definition, is:

He joined the avant-garde Bauhaus design school as their director of architecture, adopting and developing their functionalist application of simple geometric forms in the design of useful objects.

He declared simultaneity only a convenient convention which depends on the speed of light, whereby the constancy of the speed of light would be a useful postulate for making the laws of nature as simple as possible.

* " Anything that is complex is not useful and anything that is useful is simple.

To do so, it is useful to consider a very simple assembly of atoms forming a laser medium.

That reward is property, for of useful and active industry, property is the natural result .” From this simple reasoning he is able to present the conclusion that exclusive, as opposed to communal property, is to be preferred.

It is useful mainly in providing a qualitative understanding of the evolutionary processes of self-replicating macromolecules such as RNA or DNA or simple asexual organisms such as bacteria or viruses ( see also viral quasispecies ), and is helpful in explaining something of the early stages of the origin of life.

This is most useful on data that contains many such runs: for example, simple graphic images such as icons, line drawings, and animations.

The essence of silversmithing is to take a flat piece of metal and to transform it into a useful object using different hammers, stakes and other simple tools.

During the Renaissance the dynamics of the Mechanical Powers, as the simple machines were called, began to be studied from the standpoint of how much useful work they could perform, leading eventually to the new concept of mechanical work.

One particularly useful condition is that the length of the sequence is finite and each quotient module M < sub > i </ sub >/ M < sub > i + 1 </ sub > is simple.

This property, called the principle of superposition, is very useful, e. g., solutions to complex problems can be constructed by summing simple solutions.

Its combination of low raw material cost, relatively simple processing, and a useful temperature range make it currently the best compromise among the various competing materials.

A ramjet is a form of jet engine that contains no major moving parts and can be particularly useful in applications requiring a small and simple engine for high-speed use, such as with missiles.

The earliest models such as the Altair 8800 were often sold as kits to be assembled by the user, and came with as little as 256 bytes of RAM, and no input / output devices other than indicator lights and switches, useful as a proof of concept to demonstrate what such a simple device could do.

Bokonon established Bokononism with Earl McCabe, his partner in ruling the island, when all the duo's efforts to raise the standard of living on the island failed, as a means to help the poor islanders escape their miserable reality by practicing a simple, useful religion.

Handicraft, more precisely expressed as artisanal handicraft, sometimes also called artisanry, is a type of work where useful and decorative devices are made completely by hand or by using only simple tools.

Taking derivatives and solving for critical points is therefore often a simple way to find local minima or maxima, which can be useful in optimization.

During the Renaissance the dynamics of the Mechanical Powers, as the simple machines were called, began to be studied from the standpoint of how much useful work they could perform, leading eventually to the new concept of mechanical work.

In file systems lacking such naming mechanisms, drive letter assignment proved a useful, simple organizing principle.

Here again it seems that useful approximations of the size and geographical distribution of the population were obtained in this way in the late pre-war and early post-war periods.

His commentaries on Aristotle were considered so useful that he was styled, by way of pre-eminence, " the commentator " ( ὁ ἐξηγητής ).

Careful study of the different function and processes of the eyes, ears, and other organs paved the way for improved cameras, television, radio transmitters and receivers, and many other useful tools.

In most games, it is also useful to sort one's hand, rearranging the cards in a way appropriate to the game.

By 1996, other engineers had joined in, because it was clear that Cygwin would be a useful way to provide Cygnus ' embedded tools hosted on Windows systems ( the previous strategy had been to use DJGPP ).

Although the census provides a useful way of obtaining statistical information about a population, such information can sometimes lead to abuses, political or otherwise, made possible by the linking of individuals ' identities to anonymous census data.

Venter believed that shotgun sequencing was the fastest and most effective way to get useful human genome data.

A recursive definition, sometimes also called an inductive definition, is one that defines a word in terms of itself, so to speak, albeit in a useful way.

For example they are useful for organizing online encyclopedias, where users can conveniently jump in the texts, in a controlled way, by using hyperlinks.

The NCTE has endorsed this pattern as a useful way of teaching students to cope with propaganda from any source.

He regularly admitted women and slaves into his school and was one of the first Greeks to break from the god-fearing and god-worshipping tradition common at the time, even while affirming that religious activities are useful as a way to contemplate the gods and to use them as an example of the pleasant life.

In his preaching, he often emphasized the Quaker rejection of baptism by water ; this was a useful way of highlighting how the focus of Friends on inward transformation differed from what he saw as the superstition of outward ritual.

Yet Q1 has value: it contains stage directions that reveal actual stage practices in a way that Q2 and F1 do not ; it contains an entire scene ( usually labelled 4. 6 ) that does not appear in either Q2 or F1 ; and it is useful for comparison with the later editions.

The most useful of the analogies was the way the small-scale behavior could be represented with integral and differential equations, and could be thus used to solve those equations.

Structuring organizations in this way is useful partly because it can reduce the communication overhead by limiting information flow ; this is also its major limitation.

In a Dáil Éireann debate, Proinsias De Rossa was less enthusiastic: The acronym IONA is a useful way of addressing the coming together of these two islands.

For a better understanding of the liar paradox, it is useful to write it down in a more formal way.

Mach number is useful because the fluid behaves in a similar way at the same Mach number.

Online social networks work in the same way, with sites like Twitter, Facebook, and Google + being more useful the more users join.

It is another integral operator ; it is useful mainly because it converts a function on one ( temporal ) domain to a function on another ( frequency ) domain, in a way effectively invertible.

Another way of stating Rice's theorem that is more useful in computability theory follows.

Like the decomposition rank characterization, this does not give an efficient way of computing the rank, but it is useful theoretically: a single non-zero minor witnesses a lower bound ( namely its order ) for the rank of the matrix, which can be useful to prove that certain operations do not lower the rank of a matrix.

Much of statistics is non-mathematical: ensuring that data collection is undertaken in a way that allows valid conclusions to be drawn ; coding and archiving of data so that information is retained and made useful for international comparisons of official statistics ; reporting of results and summarised data ( tables and graphs ) in ways that are comprehensible to those who need to make use of them ; implementing procedures that ensure the privacy of census information.