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 >.

A trivial example of the specific form of the Eliza effect, given by Douglas Hofstadter, involves an automated teller machine which displays the words " THANK YOU " at the end of a transaction.

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.

When disks were small, this was of little consequence, because the individual allocation block size was trivial, but as disks started to approach the 1 GB mark, the smallest amount of space that any file could occupy ( a single allocation block ) became excessively large, wasting significant amounts of disk space.

The Freudian slip is named after Sigmund Freud, who in his 1901 book The Psychopathology of Everyday Life, described and analyzed a large number of seemingly trivial, bizarre, or nonsensical errors and slips.

David Goulson from the University of Stirling was able to show that trivial effects due to imidacloprid in lab and greenhouse experiments can translate into large effects in the field.

Puppeteers were willing to pay large sums of hush money in order to suppress even trivial details about their homeworld.

The amount of weight required to provide neutral buoyancy to the naked diver is usually trivial, though there are some people who require several kilograms of weight to become neutral in seawater due to low average density and large size.

This weakness makes it trivial to create a hash collision, allowing large sections to be completely altered without altering the checksum.

Deductibles are typically used to deter large number of trivial claims that a consumer can be reasonably expected to bear the cost of.

In a highly cited paper, Arveson made a systematic study of commutative subspace lattices, which yield a large class of nonselfadjoint operator algebras and proved among other results, the theorem that a transitive algebra containing a masa in B ( H ) must be trivial.

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

In the former case, there is a trivial proof of impossibility — such an algorithm would need to map a finite large set of input onto a smaller set of output on a one-to-one basis.

Getting an FM station on the air is no trivial task: among other things, WDUK would need a large amount of funding, University support, an FCC license, and a place to put the transmitter.

The book puts forward a large number of interface design suggestions, from fairly trivial ones to radical ones.

Some limit the number of changes per minute or per hour to avoid storing large numbers of trivial changes.

He applied this maxim to his administration, which would be consumed by the machinations of the parliament at large, the propensity of which was to delay or hinder the government under any pretense, including the most trivial claim of a minor deputy.

Peckinpah also fired a large number of crew members for very trivial reasons throughout the shoot.

For every group G there is a natural group homomorphism G → Aut ( G ) whose image is the group Inn ( G ) of inner automorphisms and whose kernel is the center of G. Thus, if G has trivial center it can be embedded into its own automorphism group.

However, the elicited memory is devoid of personal grounding and often considered trivial, such as a random word, image, or phrase.

The standard method to construct the reciprocity homomorphism is to first construct the local reciprocity isomorphism from the multiplicative group of the completion of a global field to the Galois group of its maximal abelian extension ( this is done inside local class field theory ) and then prove that the product of all such local reciprocity maps when defined on the idele group of the global field is trivial on the image of the multiplicative group of the global field.

The six or so remarkable books he published from 1914 to 1918 — El Rastro Flea-Market, El Doctor Inverosímil Improbable Doctor, Greguerías, Senos, Pombo, El circo Circus — illustrate most of his main characteristics: his search for a new fragmentary genre of short prose poems ( giving them the arbitrary name of greguerías ), his exaltation of trivial everyday objects, his emphasis on eroticism, his exuberant self-projection and exclusive dedication to art, his playful humour, his contemplative secular mysticism, and above all his cult of the image, especially witty surprising images.

" the representation of dream thoughts in images privileged by their condensation of a number of thoughts in a single image ( condensation ), or by the transference of psychic energy from a particularly potent thought to apparently trivial things ... Althusser overdetermination of a contradiction is the reflection in it of its conditions of existence within the complex whole.

Now, since there are no 2-chains, the kernel and image of are trivial, that is.