In classical Greece he was the god of light and of music, but in popular religion he had a strong function to keep away evil.

In the Iliad, Apollo is the healer under the gods, but he is also the bringer of disease and death with his arrows, similar to the function of the terrible Vedic god of disease Rudra.

In Iliad, his priest prays to Apollo Smintheus, the mouse god who retains an older agricultural function as the protector from field rats.

Animals sacred to Apollo included wolves, dolphins, roe deer, swans, cicadas ( symbolizing music and song ), hawks, ravens, crows, snakes ( referencing Apollo's function as the god of prophecy ), mice and griffins, mythical eagle – lion hybrids of Eastern origin.

The Scandinavian god Heimdallr performs an analogous function: he is born first and will die last.

G. Dumézil, on the other hand, views the function of this god as associated with the legalistic aspect of the sovereign function of Jupiter.

In this conception the function of defensive fire was performed by the temple of the god Vulcanus that was situated to the South of the pomerium, sacred city wall, this location being in accord with what could be expected from the homology with the Vedic situation.

These usages point to a protective or tutelary function for the god, as well as the existence of a religious community to which the jeweller marketed his wares.

Tohil's principal function was that of a fire deity and he was also both a sun god and the god of rain.

It is at least possible, therefore, that in its origin Savitr was not an independent creation, but was an epithet of Surya, but that question is of little importance: the essential feature of the god is not his original basis, but his function as the inspirer or impeller to holy sacrifice: the ritual act is repeatedly said in the Yajurveda to be done ‘ on the instigation of the god Savitr ’.”

The idea of an association of the god to the Greek concept of Chaos though looks contrived, as the initial function of Janus suffices to explain his place at the origin of time.

Schilling and Capdeville counter that it is his function of presiding over the return to peace that gave Janus this epithet, as confirmed by his association on March 30 with Pax, Concordia and Salus, even though it is true that Janus as god of all beginnings presides also over that of war and is thus often called belliger bringer of war as well as pacificus.

Consivius sower, is an epithet that reflects the tutelary function of the god at the first instant of human life and of life in general, conception.

Owing to the versatile and far reaching character of the basic function of the god, marking beginnings and transitions, his presence was ubiquitous and fragmented.

For this reason Janus, god of gates, is concerned with his function of protector of the civil community.

Dumézil and Schilling remark that as a god of the third function Quirinus is peaceful and represents the ideal of the pax romana i. e. a peace resting on victory.

In fact it is debated whether his original function was only that of god of gates and the function of god of harbours was a later addition: Paul the Deacon writes: "... he is depicted holding a key in his hand and was thought to be the god of gates ".

This process is able to adapt complex structures from simpler beginnings, or convert complex structures from one function to another ( see spandrel ).

His work demonstrates a basic understanding of musculoskeletal structure, and the beginnings of understanding of the function of certain organs, such as the kidneys.

This function is a particular case of his function of patron of beginnings.

In other towns of ancient Latium the function of presiding on beginnings was probably performed by other deities of feminine sex, notably the Fortuna Primigenia of Praeneste.

In this sense, biosemiotics takes for granted and respects the complexity of living processes as revealed by the existing fields of biology – from molecular biology to brain science and behavioural studies – however, biosemiotics attempts to bring together separate findings of the various disciplines of biology ( including evolutionary biology ) into a new and more unified perspective on the central phenomena of the living world, including the generation of function and signification in living systems, from the ribosome to the ecosystem and from the beginnings of life to its ultimate meanings.

Today the private detective will also investigate insurance claims or handle divorce cases, but his primary function remains what it has always been, to assist those who have money in their unending struggle with those who have not.

The rocking has the ambiguous function of keeping the erotic undercurrent silent and making it present ; ;

It is, however, a disarming disguise, or perhaps a shield, for not only has Mercer proved himself to be one of the few great lyricists over the years, but also one who can function remarkably under pressure.

The responsibility for taking the initiative in generating ideas is that of every officer in the Department who has a policy function, regardless of rank.

Since Af are linearly independent functions and the exponential function has no zeros, these R functions Af, form a basis for the space of solutions.

In some neighborhood of an isolated tangent point in the f-plane, say Af, the function Af is either double-valued or has no values defined, except at the tangent point itself, where it is single-valued.

In the second category the function Af has no values defined in a neighborhood Af.

The values Af are the ordinary values at Af of a multi-valued function g{t} which has components corresponding to those of f{t}.

We first define a function b{t} as follows: given the set of squares such that each has three corners on C and vertex at t, b{t} is the corresponding set of positive parametric differences between T and the backward corner points.

It might be pointed out that the integrating function of religion, for good or ill, has often supported or been identified with other groupings -- political, nationality, language, class, racial, sociability, even economic.

To a much less full extent, the hebephrenic person's belching or flatus has a comparable communicative function ; ;

Moreover, whereas in Interstate Commerce Commission parlance `` variable cost '' means a cost deemed to vary in direct proportion to changes in rate of output, in the type of analysis now under review `` variable cost '' has been used more broadly, so as to cover costs which, while a function of some one variable ( such as output of energy, or number of customers ), are not necessarily a linear function.

271 - 307 ) indicate, that the concept of function in sociology has been built up from physiological and biological models, in which the notions of teleology, i.e., metaphysical purpose, are central.

-- On the basis of a differentiability assumption in function space, it is possible to prove that, for materials having the property that the stress is given by a functional of the history of the deformation gradients, the classical theory of infinitesimal viscoelasticity is valid when the deformation has been infinitesimal for all times in the past.

Since the removal force is a function of coating thickness, a differential transformer pickup has been incorporated into the instrument to accurately measure film thickness.

Even death, therefore, has a providential as well as a punitive function.

They differ from other related families by often being pachycauline ( i. e. with a thickened trunk, usually wider at the base, which has a water storage function ), by usually having succulent leaves, and by possessing a trimerous flower with a superior ovary and seeds with an aryl.

Thus the negation of the axiom of choice states that there exists a set of nonempty sets which has no choice function.

: For any set A, the power set of A ( with the empty set removed ) has a choice function.

: Every set has a choice function.

The statement of the axiom of choice does not specify whether the collection of nonempty sets is finite or infinite, and thus implies that every finite collection of nonempty sets has a choice function.

In the even simpler case of a collection of one set, a choice function just corresponds to an element, so this instance of the axiom of choice says that every nonempty set has an element ; this holds trivially.

( A formal proof for all finite sets would use the principle of mathematical induction to prove " for every natural number k, every family of k nonempty sets has a choice function.

") This method cannot, however, be used to show that every countable family of nonempty sets has a choice function, as is asserted by the axiom of countable choice.