This almost trivial example is nevertheless suggestive, for there are some elements in common between the antique fear that the days would get shorter and shorter and our present fear of war.

The nomenclature of describing the two alkyl groups and appending " ether ", e. g. " ethyl methyl ether " in the example above, is a trivial usage.

For example the ester hexyl octanoate, also known under the trivial name hexyl caprylate, has the formula CH < sub > 3 </ sub >( CH < sub > 2 </ sub >)< sub > 6 </ sub > CO < sub > 2 </ sub >( CH < sub > 2 </ sub >)< sub > 5 </ sub > CH < sub > 3 </ sub >.

The trivial example of a large image of solid color demonstrates the variable-length LZW compression used in GIF files.

For example, according to Israeli journalist Yair Sheleg, in August 2000, German historian Hans Mommsen called it " a most trivial book, which appeals to easily aroused anti-Semitic prejudices.

As a trivial example, consider the model, where is a constant and the cost.

They are trivial in the sense that their existence is relatively easy to prove, for example, from sin ( πs / 2 ) being 0 in the functional equation.

C < sub > 1 </ sub > is the trivial group containing only the identity operation, which occurs when the figure has no symmetry at all, for example the letter F. C < sub > 2 </ sub > is the symmetry group of the letter Z, C < sub > 3 </ sub > that of a triskelion, C < sub > 4 </ sub > of a swastika, and C < sub > 5 </ sub >, C < sub > 6 </ sub > etc.

Below is what would be considered a trivial example of spaghetti code in BASIC.

These subjective judgments vary not only from person to person, but also with time: for example, as a proof is simplified or better understood, a theorem that was once difficult may become trivial.

This is a trivial solution because, for example, an omnipotent being could create a boulder that the strongest human could not lift ( it needn't do that anyway since such boulders exist ) and then give itself the potency of an average human ; it would then not be able to lift the stone.

In general, cladogram generation algorithms must be implemented as computer programs, although some algorithms can be performed manually when the data sets are trivial ( for example, just a few species and a couple of characteristics ).

This is because they have zero divisors ; this means that two non-zero numbers can be multiplied to obtain a zero result: a trivial example is (< var > e </ var >< sub > 3 </ sub > + < var > e </ var >< sub > 10 </ sub >)×(< var > e </ var >< sub > 6 </ sub > − < var > e </ var >< sub > 15 </ sub >).

* A trivial example of a MAD program

The most trivial example is that an attribute declared in the DTD to be of type IDREF, requires that there be an element in the document that uses the same value for an ID attribute.

However, many of these compounds have already an established trivial name, which is endorsed by the IUPAC nomenclature, for example chloroform ( trichloromethane ) and methylene chloride ( dichloromethane ).

A trivial numerical example uses D = 0 and a C matrix with at least one row of zeros ; thus, the system is not able to produce a non-zero output along that dimension.

As this example shows, a little bit of analysis will often lead to dramatic reductions in the number of candidate solutions, and may turn an intractable problem into a trivial one.

However, the same example would benefit significantly from both inlining and use of a trivial hash function.

For example, the class group of a Dedekind domain is trivial if and only if the ring is a unique factorization domain.

* Prescribing the Symptom and Amplifying a Deviation-Very typically, Erickson would instruct his patients to actively and consciously perform the symptom that was bothering them ( see the nailbiting example under # Resistance ), usually with some minor or trivial deviation from the original symptom.

As an example, a simple fade to black is trivial in NTSC and PAL: you just reduce the signal level until it is zero.

* A constant function is a trivial example of a step function.

In mathematics, the adjective trivial is frequently used for objects ( for example, groups or topological spaces ) that have a very simple structure.

Generally, an excimer laser is designed to operate with a specific gas mixture ; therefore, changing wavelength is not a trivial matter, as the method of generating the new wavelength is completely different, and the absorption characteristics of materials change.

This trivial name is what is now known as a specific epithet ( ICN ) or specific name ( ICZN ).

The meaning of all these terms extend to all customs of proper behavior in a given society, both religious and profane, from more trivial conventional aspects of costume, etiquette or politeness-" folkways " enforced by gentle social pressure, but going beyond mere " folkways " or conventions in including moral codes and notions of justice-down to strict taboos, behavior that is unthinkable within the society in question, very commonly including incest and murder, but also the commitment of outrages specific to the individual society such as blasphemy.

Along the way, Solzhenitsyn's examination details the trivial and commonplace events of an average prisoner's life, as well as specific and noteworthy events during the history of the Gulag system, including revolts and uprisings.

These specific deficits, termed aphasias, may be defined as impairments of language production or comprehension that cannot be attributed to trivial causes such as deafness or oral paralysis.

Considering the specific case of encrypting messages in English ( i. e. ), there are a total of 286 non-trivial affine ciphers, not counting the 26 trivial Caesar ciphers.

In large productions, the development of a procedural network to solve a specific element creation challenge makes automation trivial.

Since interactions between molecules play almost no role, dilute gases form rather trivial solutions.

The explanation for the approximately 1 / f spectral form turns out to be relatively trivial, usually coming from a distribution of kinetic activation energies of the fluctuating processes.

the matrices satisfy various polynomials such as their minimal polynomials, which form a proper ideal ( because they are not all zero, in which case the result is trivial ); one might call this the characteristic ideal, by analogy with the characteristic polynomial.

His attitude towards the myths, which he claims to have preserved in their simple form ( hence probably his nickname, Old Ragwoman, or " collector of old wives ' tales ", an allusion to his fondness for trivial details ), is preferable to the rationalistic interpretation under which it had become the fashion to disguise them.

A trivial multivalued dependency X Y is one where either Y is a subset of X, or X and Y together form the whole set of attributes of the relation.

Proving that this form is, indeed, symplectic can be done by noting that being symplectic is a local property: since the cotangent bundle is locally trivial, this definition need only be checked on.

The compact form is simply connected and its outer automorphism group is the trivial group.

The compact real form of E < sub > 6 </ sub > as well as the noncompact forms EI = E < sub > 6 ( 6 )</ sub > and EIV = E < sub > 6 (- 26 )</ sub > are said to be inner or of type < sup > 1 </ sup > E < sub > 6 </ sub > meaning that their class lies in H < sup > 1 </ sup >( k, E < sub > 6, ad </ sub >) or that complex conjugation induces the trivial automorphism on the Dynkin diagram, whereas the other two real forms are said to be outer or of type < sup > 2 </ sup > E < sub > 6 </ sub >.

The form of the 1-soliton solutions can be obtained through application of a Bäcklund transform to the trivial ( constant vacuum ) solution and the integration of the resulting first-order differentials:

As more pop music critics began writing, this had the effect of " legitimating pop as an art form "; as a result, " newspaper coverage shifted towards pop as music rather than pop as social phenomenon "; as well, in the way that critics differentiate between pop music and rock, using terms like " trivial ", " fluffy ", or " formulaic " for pop ( versus " serious ", " raw ", and " sincere " for rock ), there is an implicit or even explicitly gendered dichotomy.

Once just a trivial form of entertainment, quiz shows were now the subject of investigation at the highest level of government.

In its original form, the malicious intent inherent in the commission of any crime, however trivial, was considered to apply to any consequences of that crime, however unintended.

* The compact form ( which is usually the one meant if no other information is given ), which is simply connected and has trivial outer automorphism group.

* The split form, EVIII ( or E < sub > 8 ( 8 )</ sub >), which has maximal compact subgroup Spin ( 16 )/( Z / 2Z ), fundamental group of order 2 ( implying that it has a double cover, which is a simply connected Lie real group but is not algebraic, see below ) and has trivial outer automorphism group.

The fundamental group of the ( adjoint ) complex form, compact real form, or any algebraic version of E < sub > 7 </ sub > is the cyclic group Z / 2Z, and its outer automorphism group is the trivial group.

* The compact form ( which is usually the one meant if no other information is given ), which is has fundamental group Z / 2Z and has trivial outer automorphism group.

The global sections of the trivial bundle form a one-dimensional vector space, so the n-canonical map for any n is the map to a point.

The special case where σ is the trivial representation of H was first used extensively by Hua in his work on the Szegő kernels of bounded symmetric domains in several complex variables, where the Shilov boundary has the form G / H.

If the lifted knot has a trivial Alexander polynomial, compute the torsion linking form on the pair ( C, C ) – then this gives the homeomorphism classification.

This gives us a congruence of squares of the form which can be turned into a factorization of N, This factorization might turn out to be trivial ( i. e. ), which can only happen if in which case we have to try again with a different combination of relations ; but with luck we will get a nontrivial pair of factors of N, and the algorithm will terminate.

Isotopy classes of tangles form a tensor category, where for the category structure, one can compose two tangles if the bottom end of one equals the top end of the other ( so the boundaries can be stitched together ), by stacking them – they do not literally form a category ( pointwise ) because there is no identity, since even a trivial tangle takes up vertical space, but up to isotopy they do.

x form a group, the symmetry group of the object, a subgroup of G. If the symmetry group of x is the trivial group then x is said to be asymmetric, otherwise symmetric.