simple: Durand Line

Most narrowly, one may consider numbers explicitly defined in terms of polynomials, exponentials, and logarithms – this does not include algebraic numbers, but does include some simple transcendental numbers such as e or log ( 2 ).

More recent IUPAC recommendations now suggest the newer term " hydronium " be used in favor of the older accepted term " oxonium " to illustrate reaction mechanisms such as those defined in the Brønsted – Lowry and solvent system definitions more clearly, with the Arrhenius definition serving as a simple general outline of acid – base character.

All bilaterians are thought to have descended from a common ancestor that appeared early in the Cambrian period, 550 – 600 million years ago, and it has been hypothesized that this common ancestor had the shape of a simple tubeworm with a segmented body.

Between 70 K and room temperature, berkelium behaves as a Curie – Weiss paramagnetic material with an effective magnetic moment of 9. 69 Bohr magnetons ( µ < sub > B </ sub >) and a Curie temperature of 101 K. This magnetic moment is almost equal to the theoretical value of 9. 72 µ < sub > B </ sub > calculated within the simple atomic L-S coupling model.

Community building can use a wide variety of practices, ranging from simple events such as potlucks and small book clubs to larger – scale efforts such as mass festivals and construction projects that involve local participants rather than outside contractors.

The completion of these assignments – which can be as simple as a person suffering from depression attending some kind of social event – indicates a dedication to treatment compliance and a desire to change.

While this certificate has limited portability – to other corporations, for example – it is the most simple to develop.

* Nav-O-Matic – This was the name of the Cessna autopilot system, which implied the system was relatively simple.

He later recalled " a simple scheme that enabled us to pull several matches out of the fire " during the 1934 – 35 season: when the team was in trouble " the centre-half was to forsake his defensive role and go up into the attack to add weight to the five forwards.

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.

The Sylow 2-subgroups are either cyclic, which is easy to handle using the transfer map, or generalized quaternion, which are handled with the Brauer – Suzuki theorem: in particular there are no simple groups of 2-rank 1.

The first case was done by the Gorenstein – Walter theorem which showed that the only simple groups are isomorphic to L < sub > 2 </ sub >( q ) for q odd or A < sub > 7 </ sub >, the second and third cases were done by the Alperin – Brauer – Gorenstein theorem which implies that the only simple groups are isomorphic to L < sub > 3 </ sub >( q ) or U < sub > 3 </ sub >( q ) for q odd or M < sub > 11 </ sub >, and the last case was done by Lyons who showed that U < sub > 3 </ sub >( 4 ) is the only simple possibility.

The three classes are groups of GF ( 2 ) type ( classified mainly by Timmesfeld ), groups of " standard type " for some odd prime ( classified by the Gilman – Griess theorem and work by several others ), and groups of uniqueness type, where a result of Aschbacher implies that there are no simple groups.

Viewed as conjugate harmonic functions, the Cauchy – Riemann equations are a simple example of a Bäcklund transform.

If sections of the frame move in a simple manner, the compressor emits a ( slightly longer ) command that tells the decompresser to shift, rotate, lighten, or darken the copy: a longer command, but still much shorter than intraframe compression.

If adding that detail only altered things slightly then it would not have been too bad, but disaster struck when it was found that the simple correction mentioned above led to infinite probability amplitudes.

Many traditional dishes employ simple, contrasting flavours, such as the traditional dish of meatballs and gravy with tart, pungent lingonberry jam ( slightly similar in taste to cranberry sauce ).

Reviewing the band's appearance on BBC Two's The Future Just Happened in 2001, Gareth McLean of The Guardian described the band as " once dodgy and now completely rubbish " and their fans as " slightly simple folks ".

They are generally composed of simple sugars and are often slightly acidic.

This is a good example of how a simple, solvable problem can be made dramatically more difficult by slightly loosening one of the problem constraints.

Miller's experiment went slightly further by showing that basic biomolecules can be formed through simple physical processes, and that it was not impossible for the first stages of abiogenesis to have occurred on the early earth.

The design was extremely simple, with four floors, slightly increasing in size at each level by reductions in wall thickness.

Indeed, a slightly cryptic but essentially simple idiom allows this to be done by the program itself as it is running, producing self-modifying code.

The classic farm tractor is a simple open vehicle, with two very large driving wheels on an axle below and slightly behind a single seat ( the seat and steering wheel consequently are in the center ), and the engine in front of the driver, with two steerable wheels below the engine compartment.

The optimization reduces the effective depth to slightly more than half that of simple minimax if the nodes are evaluated in an optimal or near optimal order ( best choice for side on move ordered first at each node ).

Their methods put a slightly expanded 200 word lexicostatistical list to much better use than lexicostatistics ' simple cognate counting, following phylogenies of individual words and seeking best fits across the phylogenies of each of the 200 + words across all the languages under study.

It may appear in several variants: as a simple geometrical lightning-bolt shape ( x16px ); with the top part curved rightward, evoking to some degree the original uncial form ( x16px ); in a characteristic shape with a shorter top arm slightly curved to the left, resembling a Hebrew letter Lamedh ( x16px ); or with the same lamedh shape turned upside down ( x16px ).

In a simple wooden wheel, a load on the hub causes the wheel rim to flatten slightly against the ground as the lowermost wooden spoke shortens and compresses.

The fruit is a small nut about 3 – 6 mm long, held in a leafy bract ; the bract may be either trilobed or simple oval, and is slightly asymmetrical.

The game has a simple storyline ( though slightly differing scripts among the Japanese, European, and North American releases ) conveyed through intermission screens and dialogue interruptions, with character portraits and captions, triggered by approaching objects in normal play.

It is slightly better to be simple than correct.

A design is allowed to be slightly less simple and less complete to avoid inconsistency.

By this point, the whole of Beaujolais wine had developed a negative reputation among consumers who associated Gamay based wines with the slightly sweet, simple light bodied wines that characterized Beaujolais Nouveau.

In a simple laser, each of these modes will oscillate independently, with no fixed relationship between each other, in essence like a set of independent lasers all emitting light at slightly different frequencies.

Because they use a slightly modified Parallel ATA ( PATA ) interface, a simple adapter is all that is needed to connect CF cards to function as an PATA or PC Card hard disk.

A slightly different variety, cooked in a simple baking dish, is associated with northern US cuisine ; it tends to be sweeter and lighter than southern-style cornbread ; the batter for northern-style cornbread is very similar to and sometimes interchangeable with that of a corn muffin.

The Deming regression is only slightly more difficult to compute compared to the simple linear regression.

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.

Because the responsibility for resolving the issue lay with the President, rather than with his doctors, nothing raises more surely for us the difficulties simple goodness faces in dealing with complex moral problems under political pressure.

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.

No one could be more devoted than he to the American Congress as an institution and more aware of its historical significance in the political history of the world, and I shall never forget his moving talks, delivered in simple yet eloquent words, upon the meaning of our jobs as Representatives in the operation of representative government and their importance in the context of today's assault upon popular government.

In considering roleplaying for analysis we enter a more complex area, since we are now no longer dealing with a simple over-all decision but rather with the examination and evaluation of many elements seen in dynamic functioning.

The paper has a certain value as a comparatively easy introduction to this approach, particularly since it treats a fairly simple and straightforward phenomenon where it is possible to compare it with a more traditional ( though not structural ) statement.

The simple passage of an additional eleven months' time makes the second 3% boost more acceptable.

If, on the other hand, they opted for representation, it had to be representation per se -- representation as image pure and simple, without connotations ( at least, without more than schematic ones ) of the three-dimensional space in which the objects represented originally existed.

It goes from the basics, the analysis of simple terms in the Categories, the analysis of propositions and their elementary relations in On Interpretation, to the study of more complex forms, namely, syllogisms ( in the Analytics ) and dialectics ( in the Topics and Sophistical Refutations ).

Although specialized and experienced amateur astronomers tend to acquire more specialized and more powerful equipment over time, relatively simple equipment is often preferred for certain tasks.

Agrarianism concentrates on the fundamental goods of the earth, communities of more limited economic and political scale than in modern society, and on simple living — even when this shift involves questioning the " progressive " character of some recent social and economic developments.

Formulas for the surface areas of simple shapes were computed by the ancient Greeks, but computing the surface area of a more complicated shape usually requires multivariable calculus.

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.

In more ordinary cases Tsar Alexander III could be at once kind, simple, and even almost homely.

No Logo, the book by the Canadian journalist Naomi Klein who criticized the production practices of multinational corporations and the omnipresence of brand-driven marketing in popular culture, has become " manifesto " of the movement, presenting in a simple way themes more accurately developed in other works.

For example, eliminating dependence on the electrical grid is relatively simple but growing all necessary food is a more demanding and time-consuming proposition.

Also known as the toggle-head spear, it was about the same size as the simple harpoon and used to hunt the same animals, however, this harpoon provided a more efficient and lethal weapon.

One hundred and fifty more occur with the prefix ge-( reckoning a few found only in the past-participle ), but of these one hundred occur also as simple verbs, and the prefix is employed to render a shade of meaning which was perfectly known and thoroughly familiar except in the latest Anglo-Saxon period.

Seven hundred of them, including those formed with prefixes, of which fifty ( or considerably more than half ) have ge -, are simple nouns.

The relatively recent novel vector has facilitated a far more rapid spread than the simple expansion of habitats North through global warming.

Using these tools, one can write a more complex text editor, and a simple compiler for a higher-level language and so on, until one can have a graphical IDE and an extremely high-level programming language.