Accordingly we may speak of the Platonism peculiar to Shelley's poems or the type of Stoicism present in Henley's `` Invictus '', and we may find that describing such Platonism or such Stoicism and contrasting each with other expressions of the same attitude or mode of thought is a difficult and challenging enterprise.

The evaluation order does not affect the value of such expressions, and it can be shown that the same holds for expressions containing any number of operations .< ref > Thus, when is associative, the evaluation order can be left unspecified without causing ambiguity, by omitting the parentheses and writing simply:

Responses such as disgust show that sensory detection is linked in instinctual ways to facial expressions, and even behaviors like the gag reflex.

* By transcending such imaginative pictures, the meditant can become conscious of the meditative activity itself, which leads to experiences of expressions of soul-spiritual beings unmediated by sensory phenomena or qualities.

Per the objection, expressions such as, " An apple is red and juicy ," includes at least six concepts and would best be left as dead-end logical propositions.

The fact that in equivalent baseband models of communication systems, the signal spectrum consists of both negative and positive frequencies, can lead to confusion about bandwidth, since they are sometimes referred to only by the positive half, and one will occasionally see expressions such as, where is the total bandwidth ( i. e. the maximum passband bandwidth of the carrier-modulated RF signal and the minimum passband bandwidth of the physical passband channel ), and is the positive bandwidth ( the baseband bandwidth of the equivalent channel model ).

Note that the associative property does not hold for expressions that include non-linear operators, such as the antilinear time reversal operator in physics.

The properties of binomial coefficients have led to extending the meaning of the symbol beyond the basic case where n and k are nonnegative integers with ; such expressions are then still called binomial coefficients.

Likewise, written texts include nonverbal elements such as handwriting style, spatial arrangement of words and the use of emoticons to convey emotional expressions in pictorial form.

Hence Paul can use the term Christos with no confusion as to who it refers to, and as in and he can use expressions such as " in Christ " to refer to the followers of Jesus.

" He added that family and kinship were the perfect expressions of Gemeinschaft, but that other shared characteristics, such as place or belief, could also result in Gemeinschaft.

Certain non-standard regional and economic class-associated dialects do decline the article, either in regular speech or in slang-as in expressions such as " How do you like them apples?

Other types of notation are used in algebraic expressions when the required formatting is not available, or can not be implied, such as where only letters and symbols are available.

However, there are expressions in terms of more familiar variables such as temperature and pressure

Their use of the word " gay " represented a new unapologetic defiance — as an antonym for " straight " (' respectable sexual behaviour '), it encompassed a range of non-normative sexualities and gender expressions, such as transgender street prostitutes, and sought ultimately to free the bisexual potential in everyone, rendering obsolete the categories of homosexual and heterosexual.

The civil clock is used only as a reference point-in expressions such as: " Shabbat starts at ...".

At one time, the word, " Engine " ( from Latin, via Old French, ingenium, " ability ") meant any piece of machinery — a sense that persists in expressions such as siege engine.

He sought to apply other expressions to the Antichrist, such as " the abomination of desolation ," mentioned by Christ ( Matt.

" One does find early expressions of such perspectives in ( William ) Morris and the Socialist Party of Great Britain ( the SPGB ), then again around the events of 1905, with the growing concern at the bureaucratisation and de-radicalisation of international socialism ".

Lexemes composed of multiple morpheme also known as compound words such as idiomatic expressions and colocations are also considered part of the lexicon.

Today new expressions of Christian monasticism, many of which ecumenical, are developing in places such as the Bose Monastic Community in Italy, the Monastic Fraternities of Jerusalem throughout Europe, and the Taizé Community in France, and the mainly Evangelical Protestant New Monasticism.

Being a part of the male dress, it also has a part in the cultural expressions of the coastal rural regions of Ecuador, such as dances, horsetaming contests and skill exhibitions.

Much of the earliest development of the infinitesimal calculus by Newton and Leibniz was formulated using expressions such as infinitesimal number and vanishing quantity.

Bra-ket notation was designed to facilitate the formal manipulation of linear-algebraic expressions.

Bra-ket notation makes it particularly easy to compute the Hermitian conjugate ( also called dagger, and denoted †) of expressions.

In some cases they are used just as a compact notation for expressions that would otherwise be unwieldy to write down.

In modern notation, this is written by placing the expressions on either side of an equals sign (=), for example

To keep the notation of lambda expressions uncluttered, the following conventions are usually applied.

When Polish notation is used as a syntax for mathematical expressions by interpreters of programming languages, it is readily parsed into abstract syntax trees and can, in fact, define a one-to-one representation for the same.

As with any notation, the innermost expressions are evaluated first, but in prefix notation this " innermost-ness " can be conveyed by order rather than bracketing.

* Literal notation for arrays, hashes, regular expressions and symbols

There are other ways of producing postfix expressions from infix notation.

Although not the first writing system for sign languages ( see Stokoe notation ), SignWriting is the first to adequately represent facial expressions and shifts in posture, or to accommodate segments of speech longer than compound words and short phrases.

All expressions in Z notation are typed, thereby avoiding some of the paradoxes of naive set theory.

The standard approach to ontological commitment has been that, once a theory has been regimented and / or " paraphrased " into an agreed " canonical " version, which may indeed be in formal logical notation rather than the original language of the theory, ontological commitments can be read off straightforwardly from the presence of certain ontologically committing expressions ( e. g. bound variables of existential quantification ).

Since the meaning of the existential quantifier in formal notation is usually explained in terms of its equivalence to English expressions such as " there is " and " there exist ", and since these English expressions are not reliably ontologically committing, it comes to seem that we cannot be sure of our theory's ontological commitments even after it has been regimented into a canonical formulation.

Bézout, who did not have at his disposal modern algebraic notation for equations in several variables, gave a proof based on manipulations with cumbersome algebraic expressions.

The notation A < sup >− T </ sup > is often used to represent either of these equivalent expressions.

P < sub > ń </ sub > ( as the differences are infinitesimal ), the Leibniz notation and derivative expressions do not distinguish P to P < sub > 0 </ sub > or P < sub > ń </ sub >:

* The notation uses symbols or symbolic expressions which are intended to have a precise semantic meaning.

Today, keyboard-based notations are used for the e-mail of mathematical expressions, the Internet shorthand notation.

* Postfix notation, a way of writing algebraic and other expressions.

On the other hand, if there are two instances of the "" sign in an expression, it is impossible to tell from notation alone whether the intended interpretation is as two or four distinct expressions.

The Object Constraint Language is a precise text language that provides constraint and object query expressions on any MOF model or meta-model that cannot otherwise be expressed by diagrammatic notation.