Here there may be an analogy with cancer: we can detect cancers by their rapidly accelerating growth, determinable only when related to the more normal rate of healthy growth.

Perhaps it is only an analogy, but one of the most obvious differences between cheap fiction and fiction of an enduring quality is the development of a theme or story with leisure and anticipation.

Although the Af calculation is obvious by analogy with that for gravitational field and osmotic pressure, it is interesting to confirm it by a method which can be generalized to include related effects.

This has an interesting analogy with the assumption stated by Philippoff that `` the deformational mechanics of elastic solids can be applied to flowing solutions ''.

The term was coined by Fanya Montalvo by analogy with NP-complete and NP-hard in complexity theory, which formally describes the most famous class of difficult problems.

It has been called the Archimedean honeycombs by analogy with the convex uniform ( non-regular ) polyhedra, commonly called Archimedean solids.

The chromatographic separation behavior was then unknown for the element 97, but was anticipated by analogy with terbium ( see elution curves ).

A common analogy explains that space itself is expanding, carrying galaxy | galaxies with it, like spots on an inflating balloon.

The analogy was completed when Hawking, in 1974, showed that quantum field theory predicts that black holes should radiate like a black body with a temperature proportional to the surface gravity of the black hole.

The analogy in the case of rotating bucket is that the element of water surface will " slide " up or down the surface unless the normal to the surface aligns with the vector resultant formed by the vector addition F < sub > g </ sub > + F < sub > Cfgl </ sub >.

On human nature, Boethius says that humans are essentially good and only when they give in to “ wickedness ” do they “ sink to the level of being an animal .” On justice, he says criminals are not to be abused, rather treated with sympathy and respect, using the analogy of doctor and patient to illustrate the ideal relationship between prosecutor and criminal.

An expanding universe generally has a cosmological horizon which, by analogy with the more familiar horizon caused by the curvature of the Earth's surface, marks the boundary of the part of the universe that an observer can see.

The magnitudes ( but, not the natures ) of these three velocities can be illustrated by an analogy with the three similar velocities associated with gases.

The term " rendering " may be by analogy with an " artist's rendering " of a scene.

The analogy with a stack of paper is apt: if a half a piece of paper is inserted in a stack of paper, the defect in the stack is only noticeable at the edge of the half sheet.

The current Dalai Lama is often called " His Holiness " ( HH ) by Westerners ( by analogy with the Pope ), although this does not translate to a Tibetan title.

Apart from the commonly cited example of water turning to steam with increased temperature, Gould and Eldredge noted another analogy in information theory, " with its jargon of equilibrium, steady state, and homeostasis maintained by negative feedback ," and " extremely rapid transitions that occur with positive feedback.

The derivation of the word " Edda " as the name of Snorri Sturluson ’ s treatise on poetry from the Latin " edo ", " I compose ( poetry )" by analogy with " kredda ", " superstition " from Latin " credo ", " creed " is now widely accepted.

When Portuguese explorers first came into contact with the Japanese ( see Nanban period ), they described Japanese conditions in analogy, likening the Emperor, with great symbolic authority but little political power, to the Pope, and the Shogun to secular European rulers, e. g. the Holy Roman Emperor.

In keeping with the analogy, they even used the term " Emperor " in reference to the shogun / regent, e. g. in the case of Toyotomi Hideyoshi, who missionaries called " Emperor Taicosama " ( from Taiko and the honorific sama ).

Kaisertum might literally be translated as " emperordom " ( on analogy with " kingdom ") or " emperor-ship "; the term denotes specifically " the territory ruled by an emperor ", and is thus somewhat more general than Reich, which in 1804 carried connotations of universal rule.

The idea of an analogy between number fields and Riemann surfaces goes back to Richard Dedekind and Heinrich M. Weber in the nineteenth century.

The more strict analogy expressed by the ' global field ' idea, in which a Riemann surface's aspect as algebraic curve is mapped to curves defined over a finite field, was built up during the 1930s, culminating in the Riemann hypothesis for local zeta-functions settled by André Weil in 1940.

Motivated by the analogy, Selberg introduced the Selberg zeta function of a Riemann surface, whose analytic properties are encoded by the Selberg trace formula.

In accordance with this analogy with self-dual Yang – Mills instantons, gravitational instantons are usually assumed to look like four dimensional Euclidean space at large distances, and to have a self-dual Riemann tensor.

These laws describe the behaviour of a black hole in close analogy to the laws of thermodynamics by relating mass to energy, area to entropy, and surface gravity to temperature.

Castles and Coltheart describe phonological and surface types of developmental dyslexia by analogy to classical subtypes of alexia ( acquired dyslexia ) which are classified according to the rate of errors in reading non-words.

By analogy, a similar graph depicting the progress of a string as time passes by can be obtained ; the string ( a one-dimensional object — a small line — by itself ) will trace out a surface ( a two-dimensional manifold ), known as the worldsheet.

Joseph Sheehan, a prominent researcher in the field, has described stuttering in terms of the well-known analogy to an iceberg, with the immediately visible and audible symptoms of stuttering above the waterline and a broader set of symptoms such as negative emotions hidden below the surface.

In its general interpretation, a pseudosphere of radius R is any surface of curvature − 1 / R < sup > 2 </ sup > ( precisely, a complete, simply connected surface of that curvature ), by analogy with the sphere of radius R, which is a surface of curvature 1 / R < sup > 2 </ sup >.

In more advanced physics, the field line analogy is dropped and the magnetic flux is properly defined as the component of the magnetic field passing through a surface.

Translating this analogy into space, then, a " stationary " observer sees a planet moving left at speed U and a spaceship moving right at speed v. If the spaceship has the proper trajectory, it will pass close to the planet, moving at speed U + v relative to the planet's surface because the planet is moving in the opposite direction at speed U. When the spaceship leaves orbit, it is still moving at U + v relative to the planet's surface but in the opposite direction ( to the left ).

An analogy is to crumple a newspaper into a ball and stick a needle straight through, the needle will make widely spaced holes in the two-dimensional surface of the paper.

An analogy may be made with an iceberg-it always floats with a certain proportion of its mass below the surface of the water.

In analogy to eukaryotic cytokines, they interfere with host cell functions and change the morphology of monocytes, inducing the expression of the surface marker protein CD11b, phagocytic activity, as well as cell adherence, which are indicative of monocyte differentiation into macrophages.

The name comes from an analogy to diving, where decompression refers to a period of time spent by deep sea divers either in decompression chambers or at various depths on their way to the surface henceforth, gradually adjust to surface pressure in order to avoid the bends.

Tom Noddy ( who featured in the second episode of Marcus du Sautoy's The Code ) gave the analogy of looking at a contour map of the bubbles ' surface.

An analogy is the impossibility of representing the surface of the earth without distortion on a flat surface ( map ).

The term first past the post ( abbreviated FPTP or FPP ) was coined as an analogy to horse racing, where the winner of the race is the first to pass a particular point ( the " post ") on the track ( in this case a plurality of votes ), after which all other runners automatically and completely lose ( that is, the payoff is " winner-takes-all ").

They proposed – among others – that in a fully competitive economic environment ( as they thought was the case of ecosystems ) the most potent individuals would thrive and in turn society would prosper ( in analogy to the observed biodiversity and abundance of life on earth ).

In this case, the analogy applies both to the form of the words and to their meaning: in each pair, the first word means " one of X ", while the second " two or more of X ", and the difference is always the plural form-s affixed to the second word, signaling the key distinction between singular and plural entities.

Some places may allow a hand such as 10-9-8-7-A to play as a straight ( by analogy to a wheel ) in the 32-card game, the A playing low and skipping over the removed ranks ( although this is not the case in Manila ).

Mr. Pitt's case in ' 84 is the nearest analogy ; but then the people only confirmed the Sovereign's choice ; here every Conservative candidate professed himself in plain words to be Sir Robert Peel's man, and on that ground was elected.

In keeping with the analogy, they even used the term " emperor " in reference to the shogun / regent, e. g. in the case of Toyotomi Hideyoshi, whom missionaries called " Emperor Taicosama " ( from Taiko and the honorific sama )

The argument from analogy has faced scrutiny from the likes of Norman Malcolm who have issues with the ' one case ' nature of the argument.

These differences could mean that the bacterial and archaella could be a classic case of biological analogy, or convergent evolution, rather than homology.

But in an ergative – absolutive language like Dyirbal, " I " in the transitive I hug him would take the ergative case, but the " I " in I was hugged would take the absolutive, and so by analogy the antipassive construction more closely resembles * was hugged me.

According to the Gemara, they demonstrated their wisdom by raising their case in a timely fashion, just as Moses was expounding the law of levirate marriage, or yibbum, and they argued for their inheritance by analogy to that law.

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.

A mechanical analogy in the K = 1 case with magnetic field energy ( 1 / 2 ) Li < sup > 2 </ sup > is a body with mass M, velocity u and kinetic energy ( 1 / 2 ) Mu < sup > 2 </ sup >.

To see this consider the case of a supersingular elliptic curve over a finite field of characteristic p. The endomorphism ring of this is an order in a quaternion algebra over the rationals, and should act on the first cohomology group, which should be a 2 dimensional vector space over the coefficient field by analogy with the case of a complex elliptic curve.

He proved that, in analogy with the spherical case, every building of affine type and rank at least four arises from a group.

By analogy with the case when the θ < sub > U </ sub > came from coordinate systems, condition 3 means that φ < sub > U </ sub > is related to φ < sub > V </ sub > by h.

Beyond this point the analogy breaks down ; in the case of elevators the potential energy is gravitational but with the quantum number it is electromagnetic.

The term trigonometric polynomial for the real-valued case can be seen as using the analogy: the functions sin ( nx ) and cos ( nx ) are similar to the monomial basis for polynomials.

It can be seen as an analogy to creating a concept car to test new technology for future products, but in this case the work is directly used for the next product generation.

The term " corner case " comes about by physical analogy with " edge case ".

The " dead " parts are the tools, materials and equipment worked with, which are the results of past labour ( this analogy becomes dubious e. g. in the case of agriculture and biotechnologies ).