The Petronas Towers are placed on a central axis, framing a doorway to the infinite with the skybridge. |
|
His reality was becoming his dreams and vice versa in an existence that eschewed the infinite in favor of the temporal and transient. |
|
It is more complicated than the other axioms, and involves the infinite in a fundamental way. |
|
He discusses the infinite, distinguishing between the potentially infinite and the actual infinite. |
|
Vedanta allowed this sense of oneness while promoting an infinite variety and variation in religious thought. |
|
The hallway stretched out before her, an infinite tunnel of grey sterility and mechanical deprivation. |
|
In short, this bill allows the Attorney-General to appoint an almost infinite number of judges. |
|
Information technology is currently doing much to change our perceptions, and space technology holds out a prospect of infinite exploration. |
|
We will multiply and prosper such that our empire is infinite and our ingenuity boundless. |
|
Beneath your fins lies a mile or two of ocean, a bottomless, infinite space of blue, blue, and more blue. |
|
I wanted to dive deep enough into the self to regard its surface aspects from the infinite depths beneath it. |
|
Such a phenomenon, called the Meissner effect, shows that a superconductor is not a perfect conductor with infinite conductivity. |
|
An infinite world of heavenly glory awaits us every time we lift our hearts up to heaven to worship Jesus and receive his love. |
|
Perhaps Stoker shrewdly foresaw that he would need to leave open the door for an infinite number of sequels. |
|
Binah defines what is possible from the unlimited permutation of infinite creativity. |
|
Whether in sickness or in health, weakness or strength, every one is of infinite value before God and must be treated as such. |
|
If we compare our own limitations to the infinite which is unlimited, our limitations are so small and inconsequential as to be like nothing. |
|
This Source, this unlimited reservoir of infinite intelligence, creativity, joy and love is never changing. |
|
But in any standard treatment, squaring or cubing an infinite number gives the same infinite number. |
|
In the unity reached by overcoming this divorce of the finite from the infinite lies religious blessedness, perfect beauty, and moral freedom. |
|
|
And all is told with an almost prophetic Biblical tone, with infinite foreboding and dark overtones. |
|
Within the singularity, matter is infinitely compressed into a region of infinite density. |
|
Too numerous are the friends to mention here, who came to wish her excellent health, unbounded happiness and infinite prosperity. |
|
Apparently, the filmic horizons are as infinite as the limits of the sky for these amazing moviemakers and their crazy creations. |
|
Sure your roots are deep, but never forget your branches extend upwards into unconfined, infinite and limitless space. |
|
Because of this, mathematicians now refer to the infinite set of real numbers as uncountable. |
|
An example of something that is uncountably infinite would be all the real numbers. |
|
Its pastry crust speaks to a diner of infinite potential, obscuring what's within and defying conventional conceptions of identity. |
|
After inventing the skin flick with The Immoral Mr Teas, he took infinite pains in a genre where very few pains were really required. |
|
Since the universe is unlimited in size, there must also be an unlimited number of atoms and an infinite amount of void. |
|
The artist will draw it into himself as if with a deep breath from an infinite distance, exalt it, and body it forth. |
|
My piece was an attack on body fascism and a plea for tolerance of an infinite variety of body types. |
|
Connell and Gibson deeply enrich our ability to traverse this seemingly infinite scholarly terrain. |
|
But he also may be too foresighted, looking beyond the short-term violence and into the infinite of the future. |
|
The joystick-controlled drive system delivers power turns, counterrotation, and infinite speed control. |
|
He made substantial contributions to the analytical theory of numbers and worked on elliptic functions, continued fractions, and infinite series. |
|
Notice that the vertical elevation provides an infinite number of possible integer slant heights. |
|
The stark, unembellished style reflects perfectly the silence and sense of infinite time and space. |
|
But there would appear to be an infinite number of both grammatical and ungrammatical sentences. |
|
He is unimaginably offended and dishonoured through the infinite guilt and abominable wickedness of the world. |
|
|
An infinite series of contingent beings will be, to my way of thinking, as unable to cause itself as one contingent being. |
|
If you really believe that the universe is infinite than you must also accept that godlike things will exist. |
|
Brouncker's mathematical achievements includes work on continued fractions and calculating logarithms by infinite series. |
|
He found square roots of numbers by use of an infinite series leading to an early investigation into continued fractions. |
|
The existence of deeply iterated sets, including the infinite ones, is a theoretical posit, supported by the upper tier of Maddy's epistemology. |
|
They would not have been significant by using conventional statistical tests for infinite populations. |
|
This zero-degree photography embodied the opposite pole of the daguerreotype's infinite clarity. |
|
If we chop off an infinite cfe after a finite number of steps then we will create a rational approximation to the original irrational. |
|
The limit of an infinite sequence of numbers often possesses properties not shared by any member of the sequence of terms that converges to it. |
|
Since there are as many different Inuksuit as there are pebbles on the beach, it is possible to draw an infinite variety of statues. |
|
Anderson now spreads the word on the unsustainability of infinite growth in a finite world. |
|
Under his guidance she worked on integral equations studying infinite dimensional linear spaces. |
|
In other words, his life, which was open to infinite possibility, congeals into the closed shape of a Destiny. |
|
The cord symbolises the love and friendship, that binds the couple, the figure eight shape represents the infinite nature of matrimony. |
|
The first test here should be whether infinite computing power is, in principle, even possible. |
|
An almost seam free marble floor can be inlaid with tracery, borders, natural mosaics and other patterns in an infinite number of ways. |
|
Both are simple conceptually, yet infinite in the variations of play they can throw up. |
|
To inform a reading of this seemingly infinite concatenation of closed brackets, Michael Davidson writes about narrative frames. |
|
Did it ever, in your infinite pig-headedness, occur to you that it's not up to you who I go out with? |
|
As classically conceived, a real number can be thought of as an infinite decimal, a completed infinity. |
|
|
These two concepts, infinitesimals and infinite quantities, however, were stirring great philosophical dilemmas. |
|
The existence of some indemonstrable principles within a science is necessary in order to avoid an infinite regress in explanations. |
|
Either this process continues forever, creating an infinite regress of premises, or it comes to a stop at some point. |
|
It seems that every purist movement has an infinite regress of fringes upon fringes, with each seeking to be more pure than the others. |
|
God must be a first cause and a self-moved mover otherwise there will be an infinite regress to causes of causes. |
|
Construction pieces from every set can be combined in an infinite number of ways, which contributes to excitement and adventure. |
|
Would it perhaps bore you if I explained my reasons for not excluding felo de se from that infinite list of acts which are now lawful? |
|
He also studied infinite series, the gamma function and inequalities for convex functions. |
|
He moves silently in their midst with a gentle smile of infinite compassion. |
|
Nature, with her infinite variety of flora and fauna, is God's gift to humans. |
|
Marriage is the theme, in all its incomprehensibility, its difficulty and its infinite gentle understandings. |
|
Natural language is incoherent, and its underlying sensible structure is that of an infinite hierarchy of levels. |
|
Her rich, clear soprano captures infinite shadings of mock-hauteur, pertness and good humour. |
|
In valuing equation, i should be the U.S. government perpetual bond yield representing the risk free rate for an infinite time horizon. |
|
God is the Creator from all eternity, and he creates when He wills, in His infinite goodness, through His coessential Logos and Spirit. |
|
God is the being whose coessential goodness is its reason for doing infinite and eternal good. |
|
This is where any mathematical function is expressed as the sum of an infinite series of other periodic functions. |
|
Such is his infinite penitence and regret that he looks out on the world and the bereaved family through a window of tears. |
|
Temptations in the form of infinite variety of ice-creams and pastries were never resisted. |
|
No set, and in particular no infinite set, has as many members as it has subsets. |
|
|
My mother looks at Dad and raises her eyebrows at my infinite churlishness. |
|
Jinx was startled to note that the horizon of the infinite plane wobbled unsteadily for a moment. |
|
On 600s you are also allowed only a small amount of adjustments, whereas in superbikes you're allowed an infinite number. |
|
But whoever assumes this role, their supporters can at least derive succour from the infinite spirit of the Highlanders. |
|
They were pursuing a mirage of infinite wealth in private aeroplanes, high on champagne and designer drugs. |
|
Here were the main exhibits, gathered with infinite care and attention to their heraldic significance. |
|
He also expanded functions related to the integral of the kernel function as an infinite series in a set of orthonormal eigenfunctions. |
|
So, a second lasts either for no time at all or else for an infinite amount of time. |
|
In this latter book she presented a 30 page appendix on the theory of infinite cardinals and ordinals. |
|
Although now scarce in it's original form, it's ability to lend itself to interpretation is what has made the Blues so infinite and omnipresent. |
|
Massive information harvesters offer the world near infinite information at near instant speeds. |
|
The Skolem-Lowenheim theorem asserts that any first-order theory having an infinite model has other models of all smaller infinite cardinalities. |
|
Cantor conjectured that there are no infinite cardinalities between the size of the natural numbers and the size of the real numbers. |
|
You have an infinite capacity for understanding people's problems and you can sympathize with them. |
|
Clustered on the ocean floor, they seemed to watch me with an infinite and wary gaze. |
|
The problem of scattering of an obliquely incident plane acoustic wave from an infinite solid elastic clad rod is formulated. |
|
The real number system consists of all numbers that can be represented by infinite decimals. |
|
Back in our world, custom has perhaps staled Shakespeare's infinite variety a bit. |
|
There are shorter methods for summing an infinite number of terms in calculus and other branches of advanced mathematics. |
|
We may well be living in a habitable portion of an infinite and random universe whose initial state obeyed no laws of Nature at all. |
|
|
The timbre and quality of its resonance had a lingering delicate quality, which communicated nuances of infinite variety. |
|
It exists as infinite potentiality without clearly defined boundaries or parameters. |
|
Maybe they like feeling small and insignificant when compared to the infinite space above and the ominous desert around them. |
|
This book is a treatise on infinite series, summation, interpolation and quadrature. |
|
Given that expression, which represents an infinite number of decimal digits, you can compute its value to any number of decimal places. |
|
The assumption that the benefits of Global Warmist policy are infinite and the costs immaterial is simply rubbish. |
|
He also realised that there were an infinite number of non-euclidean geometries and this, Taurinus claimed, was highly significant. |
|
It's a gloriously vibrant water lily, with creamy colors and almost infinite deepness in detail and tone. |
|
The language limit has expanded from 43 languages to a seemingly infinite number of languages, from Achinese to Zuni. |
|
This muteness is unsettling, somehow pregnant with infinite meaning and utterly devoid of any at all. |
|
In the introduction he pointed out that a plane was a special case of a spherical surface, that is a sphere with infinite radius. |
|
As one might expect, multiplication of infinite decimals is more complicated than addition. |
|
For the case of a finite-dimensional real linear space these are infinite systems whose adjoint cone is topologically closed. |
|
In my infinite wisdom I decided to fill the holes in myself whilst Gary was working. |
|
A scream of pure affliction passed across her lips and infinite pain seemed to hit her, bruising her heart. |
|
In your individual life, you have infinite opportunity to act in concert with the karmic imperatives of your soul. |
|
Your mother, meanwhile, in all her infinite newfound Web wisdom, sends you a goofy e-card. |
|
It seemed that there was no breath, no alive creature in the street, just almighty wind and infinite rain. |
|
Or is it that plays are rooted in the moment and are not available for infinite replay as films are. |
|
As you get deeper into turkeys, you'll find an almost infinite number of widgets, gadgets and gimmicks for turkey hunters. |
|
|
In theory, they spread an infinite distance, and can manifest clear across the universe in the wink of an eye. |
|
In 1941 he received the degree of Doctor of Science for a dissertation Structure of isomorphic representable infinite algebras and groups. |
|
Eternal inflation may bypass the complications of extra dimensions and quantum gravity, because these are relegated to the infinite past. |
|
These generating functions are infinite power series, and Euler was a master in manipulating them. |
|
The man smiled at the young boy who seemed to have a well of infinite wonderment and enthusiasm to draw upon. |
|
Real objects are not point masses but occupy a volume of space and have an infinite variety of shapes. |
|
Could Hashem not find it within His infinite mercy to forgive Moshe's one sin? |
|
Planning law is complex, but its most notable feature is its infinite flexibility. |
|
Freud takes advantage of the almost infinite freedom oil gives to overpaint, scrape, repaint and correct. |
|
It revealed that my computer outputs sound based on an iteration involving fifteen random infinite sets derived from a distributed lava lamp. |
|
Bolzano's theories of mathematical infinity anticipated Georg Cantor's theory of infinite sets. |
|
Her eyes were dazzled with an infinite number of little pinpricks of light. |
|
That most if not all human languages are infinite is one of the central observations of modern linguistics. |
|
After all, the Internet has an infinite capacity to tuck excess verbiage away where no one need be bothered by it. |
|
It makes my head go dizzy, like when trying to imagine the universe and the concept of infinite space. |
|
For such a prospect requires that an infinite number of events must have elapsed before the present moment could arrive. |
|
This website is devoted to Jesus Christ Our Lord because of His infinite Good and Mercy. |
|
The clear African sky at night, with its infinite astral array, takes some beating as a holiday experience. |
|
I thought of the infinite possibilities as I scrubbed, focusing on the bubbles the bristles of the brush made. |
|
She held his sun-bronzed face between her hands, and gazed into his dark eyes with infinite tenderness. |
|
|
If we can understand, experienc, and practice this path, life will be filled with infinite brightness and cheer. |
|
Fourier submitted his 1807 memoir together with additional work on the cooling of infinite solids and terrestrial and radiant heat. |
|
A striking aspect of the early rock art is its drawing of tessellations, which show infinite repetition. |
|
It has a designer wood ceiling and is open 360 degrees to the infinite desert sky. |
|
For Leonardo, the human body, and especially the face, revealed an infinite capacity for expression. |
|
Certainly such a deity would not be the infinite creator God of orthodox theism. |
|
A finite sporadic simple group is a finite simple group which is not a member of one of the standard infinite families. |
|
The sad irony of it all is that God's infinite mercifulness extends to the nether limits where our present breed of politicians abound. |
|
Indeed, one can imagine the surface as the sum of an infinite number of saddles. |
|
Further, since he owed nothing and gave an infinite gift, he acquired merit and deserves a reward. |
|
Thus all infinite sequences of natural numbers have the same power, aleph zero. |
|
He conceived of the Void as a vacuum, an infinite space in which moved an infinite number of atoms that made up Being. |
|
A very interesting question about beggar my neighbor is whether there is an infinite game. |
|
He argues that this disjuncture comes from time's infinite capacity for substitution. |
|
Ultimately, El Hanani's drawings are meditations on the relationship of the macroscopic to the microscopic, the infinite to the infinitesimal. |
|
For a networker, it is a network with only one computer to be shared among an infinite number of people. |
|
Are there any bases where the Fibonacci numbers with a sum of their base B digits equal to their index numbers form an infinite series? |
|
Not surprisingly, he also discovered the infinite power series for the cosine and the tangent. |
|
You would not believe what an infinite variety of alcoholic beverages are out there. |
|
Not to mention the seemingly infinite amount of equipment and crafting skills. |
|
|
We now have the potential to produce an infinite amount of energy from this clean-burning fuel. |
|
When you start out you have no money, no work and a seemingly infinite amount of time. |
|
It has a hydroelectric motor, so it can effectively draw infinite amounts of electric power from the water. |
|
One problem with the current approach is that it implicitly assumes we can protect an infinite amount of information. |
|
In one split-second, it felt as though I had heard the words an infinite amount of times. |
|
That is, an infinite amount of energy would have to be expended, via the accelerating force, to reach the speed of light. |
|
Even though there are big surpluses, if you want this big tax cut, there's not an infinite amount of money. |
|
There are an infinite amount of universes, crossing one another like a grid. |
|
Moreover, a computer seems to have an infinite amount of patience and doesn't mind repeating lessons any number of times. |
|
As a cake, a galette is made of flour, sugar, butter, and eggs in infinite variations, or simply of puff pastry. |
|
An infinite amount of time means that all sorts of crazy things will happen. |
|
This amounts to saying the transfinite whole is not equal to the sum of its denumerably infinite parts. |
|
I have an almost infinite amount to say about this subject, but it doesn't look like I'm going to have time to say it for a few days. |
|
We live on a tiny planet in a corner of a vast galaxy starred about with infinite space. |
|
In response, Hubbard says that risk studies aren't usually based on cataclysms for which a bank would have to hold infinite amounts of capital. |
|
I would say watching a film together is fine when you have infinite time to burn. |
|
Goldbach also studied infinite sums, the theory of curves and the theory of equations. |
|
And there is an infinite amount of things to say, and reasons to apologize, and questions to ask. |
|
I guess it could be the infinite amount of raindrops that incessantly keep dropping onto me that sends me into this light bout of dizziness. |
|
When its energy runs out it is simply rewound, producing an infinite supply of power at no cost. |
|
|
They have a seemingly infinite amount of other style names here, but not that. |
|
This peer to peer, infinite disk space, share and share alike world keeps getting more interesting. |
|
A tiny bit of soul is apparently of greater significance to the Almighty than infinite amounts of mindless body. |
|
This idea of refinement carried to an infinite degree then began to be extended to liquids. |
|
Mathematicians divide infinite sets into two categories, countable and uncountable sets. |
|
When I got back to London I seemed to find an almost infinite amount of ways to avoid coming back to my flat. |
|
Trust me, an infinite amount of people ask me what camera I use, and the advertising is surely worth more money than a measly 300 bucks or so. |
|
Mathematicians have established that there is an infinite number of such solutions of the Riemann equation. |
|
The surprising answer is that there is an infinite number of Fibonacci numbers with any chosen number as a factor! |
|
This way of reasoning is also present in finite and denumerably infinite collections. |
|
At the same time, there was an exhilarating account of the infinite in Georg Cantor's set theory. |
|
In the case of sib-mating, the sire's gametes are imagined to be combined with an infinite number of full sisters. |
|
Aristotle famously rejects the infinite in mathematics and in physics, with some notable exceptions. |
|
A livelier scientific curiosity, one is inclined to think, might lead not to infinite regress but to progress toward the infinite. |
|
The geocentric, geostatic cosmos of Aristotle having been quite exploded, all that remained was an infinite and intricate concatenation of causes and effects. |
|
If we were told that there was a watch without a mainspring, we would hardly be reassured by the further information that it had, however, an infinite train of gear-wheels. |
|
The arrival times given are those of the centre of the first main pulse after midnight at infinite frequency at the barycentre of the solar system, in seconds. |
|
I think that his mind is capable of almost infinite self-deception. |
|
Keynes understood that the long run is simply an infinite parade of short runs. |
|
He said there was an infinite amount of hope but not for us. |
|
|
Since there's a near infinite number of possible exercises, Amiigo doesn't bother trying to categorize them ahead of time. |
|
In such an argument there would always be matter for answers, rejoinders, replications, triplications, quadruplications, and that infinite web of disputes. |
|
I crave snow-topped mountains, dreary wastes, and the cruel Northern sea with its hard horizons at the edge of the world where infinite space begins. |
|
We compare the radiant blues and greens of our fragile planet to the blackness of the cosmos, and recognize the infinite preciousness of our lonely home. |
|
At its most complex, it is an irrational number that cannot be expressed as the ratio of two whole numbers and has an apparently random decimal string of infinite length. |
|
Such problem arise when one asks whether an equation involving only whole numbers has an infinite number of whole-number solutions, a finite number, or none at all. |
|
Others are preserving digital data for infinite periods of time, realizing that the physical media will change many times during the lifetime of data. |
|
They are a plain looking, solid sort of shoe with a chunky heel, quite rigid support and come in an infinite range of colours and limited editions. |
|
Investigators must have long views, deep pockets, and infinite patience to try and try again. |
|
The powers, in their infinite wisdom, have been part-funding a project to build satellite-controlled speed regulators that stop cars exceeding the limit. |
|
The infinity Stones are six magical stones that, when inserted into the infinity Gauntlet, grant the wearer infinite power. |
|
The most powerful image of this infinite mercilessness is also the first. |
|
In fact there are fascinating glimpses of the Babylonians coming to terms with the fact that division by 7 would lead to an infinite sexagesimal fraction. |
|
This dazzling conceit betokens the director's fascination with surface, a fascination which, on closer examination, reveals infinite depths of feeling. |
|
Since there's not an infinite amount of money, we have to choose. |
|
But even with an infinite amount of money, aging could not be conquered. |
|
Now, being able to look at my toes while standing upright will have absolutely no use of course, but it will give me an infinite amount of satisfaction. |
|
She had made it clear that she was more than capable of being happy without him having to offer a helping hand, and that bothered him to an infinite degree. |
|
There is one bank and a pyramid about 2 feet tall held together by an infinite amount of splinters and you will be taking some home with you whether you like it or not. |
|
The person I bumped into, who apparently had an infinite amount more grace than I did, managed to stay standing, and offered a hand to me to help me up. |
|
|
Given the infinite amount of stuff out there it's pointless to pretend that you can experience it all, but I think it's wrong to not be bothered and just ignore it all. |
|
The infinite noun functions as nominative and as indefinite. |
|
Eventually, exception to the actual infinite became exception to the idea that the infinite could be a legitimate object of mathematical study at all. |
|
You can see this brush of the infinite on the faces of anyone's who's mourning, even on the face of one who considers himself an agnostic, or an atheist. |
|
Turing's approach was to image a machine that would automatically perform mathematical functions in binary on a paper tape of infinite length divided into squares. |
|
There is an infinite number of solutions for the binomial equation. |
|
In an age of infinite data, the irony is that we are not suffering from overload, but underload. |
|
In my infinite naivety and itsy-bitsy experience, I like squirrels. |
|
With the willing but wholly inept assistance of Mark the Squaddie, with infinite effort, the little bleeders were successfully returned to Stalag Sheep. |
|
Carrey's body, like the film, is a hive of infinite possibilities. |
|
Viruses are free to mutate into an infinite variety of functionally equivalent forms, whereas the process of establishing their equivalence is undecidable. |
|
There are infinite possible versions of each world in the multiverse, and many of these have different states of human life and technology on them. |
|
It could be the old chestnut that we live in a multiverse of infinite possibility, where every sliding door decision is a decision that was made both ways. |
|
The multiverse contains an infinite number of recombinations. |
|
You can get bog roll in an infinite variety of colours and patterns. |
|
In the case of an infinite lattice the cluster size distribution is unimodal if the population is homogeneous and bimodal when the population is inhomogeneous. |
|
So all that is infinite is unlimited and must be the cause of all things. |
|
By the end of the novel, humanity has discovered an infinite number of universes bordering ours via nanoscopic wormholes whose mouths form subatomic particles. |
|
The broad, blue river flowed past with infinite patience and slow, deep inevitability, and the thought of that much water in one place was daunting. |
|
The constituents of matter are elements infinite in number and always in motion, with an infinite variety of shapes, completely solid in composition. |
|
|
The atomists held that there are smallest indivisible bodies from which everything else is composed, and that these move about in an infinite void space. |
|
The infinite and inexorable movement of the earth's crust is calculably liable to shift the nuclear waste, when it will disperse in aquifers or on the surface. |
|
Her desire to further her potential led her to explore the neglected art of calligraphy and she soon mastered the infinite possibilities of the Devanagri script. |
|
He rejects the infinite hierarchy of meta-languages underlying English in favor of one formal object language having an infinite hierarchy of partial interpretations. |
|
The result for Milne's cosmology was a stationary universe with an infinite past age which, of course, acted as a precursor to the steady-state theory. |
|
Climbing the stairs to the upper room you are confronted with The Great Outdoors, a painting with a brave composition of a figure offset to one side of an infinite blue sky. |
|
In 1929 he published a mathematics paper in which he constructed an infinite sequence of 0's and 1's with no three identical consecutive subsequences of any length. |
|
Each of these objections, rebuttals, rejoinders, and surrejoinders is in itself admirable, and does infinite credit to the acuteness and candour of the author. |
|
Ryan and the Bavarian orchestra produce an infinite variety of shades and hues, and this is important, because timbre is everything in Feldman's music. |
|
Classically, a particle trapped in a one-dimensional infinite potential well of length L would have an equal probability of being detected anywhere in the well. |
|
Using energy arguments similar to the one above, the team derived a scaling law for the contact stiffness of a thin cylinder of infinite length undergoing local indentation. |
|
It filled his soul again with inexpressible joy and pleasure, as if everything else seemed dark by comparison with that infinite brilliance and radiant light-for it was night. |
|
It is not difficult to see that this leads to an infinite regress. |
|
Moreover, the causality condition appears to threaten an infinite regress. |
|
On the theory of real distinction, this view leads to an infinite regress. |
|
A friend of mine goes with the theory that there is no self, rather that he is a configuration of infinite diverse elements in a state of constant change. |
|
Beyond the infinite number of troubles caused by getting away with pure talk, the contemporary politicians also will not confront the real problems. |
|
There is no doubt that in health there is infinite demand and finite resources, and each scarce health dollar must be put to the best possible use. |
|
A good axiom, he felt, should help mathematicians settle not only the continuum hypothesis but also many other questions about Cantor's hierarchy of infinite sets. |
|
The question was to determine the exact value of the convergent infinite series obtained by summing the reciprocals of the squares of the positive integers. |
|
|
If that were so, it would be a shocking injustice to a flannelled gentleman who, by all accounts, played his cricket with immeasurable grace and infinite style. |
|
We use a Markovian approach to calculate the probabilities of identity by descent iteratively from one generation to the next, assuming an infinite allele model. |
|
They stare into an infinite chasm that opens up in the face of using a limited amount of notes that fluctuate from serene moments to bawling noise storms. |
|
The second version occurs as Corollary 2 to Proposition 7 and was thought of as a method of expanding solutions of fluxional equations in infinite series. |
|
The formalists hoped to express the mathematics of infinite sets in such a system, and to establish the consistency of that system by finite methods. |
|
The theoretic Bessel function is characterized by an infinite number of oscillations and corresponds to the model form factor of infinitely long and thin hollow columns. |
|
In the centre, an ornamental pond displays more fountains and more light, water reflecting off water to create an infinite array of mirror image distortion. |
|
A line is considered a circle with infinite radius and zero curvature. |
|
Nevertheless, our very procedure, in deriving therefrom a lawlike description of the infinite modes, presupposes the possibility of a deductive science. |
|
We are further informed that scientific theories fail at a singularity, which is an event involving infinite mass, density, pressure and temperature. |
|
Parker represents a univocal aesthetic that ignores beauty's infinite horizon. |
|
The subfractals will consist of points associated with infinite strings from a subshift of finite type or sofic subshift on the symbolic space. |
|
If, out of that infinite multitude of antecedent generations, we should subduce ten. |
|
Perhaps all those super hackers who so regularly produce infinite lives etc. could produce pokes to be used by 128K users. |
|
The structure is designed to give rise to and experience low levels of stress, and has an infinite fatigue life without testing. |
|
In a dream, you can cheat architecture into impossible shapes. That lets you create closed loops, like the Penrose Steps. The infinite staircase. |
|
Fifty years ago, the common perception was that water was an infinite resource. |
|
If not and if there is no infinite regress, then the argument at once comes to a standstill. |
|
He begins his proof by explaining that there are two angles we must take in arguing for the existence of an actually infinite being. |
|
All through we have orchestration of infinite delicacy, tunes of alarming simplicity, but never a tinge of vulgarity. |
|
|
We extended this formulation to the multidifferential ones, and consider their infinite order jet prolongation. |
|
When they reach the singularity, they are crushed to infinite density and their mass is added to the total of the black hole. |
|
In some cases, Maxwell's equations are solved through infinite space, and boundary conditions are given as asymptotic limits at infinity. |
|
Gravity has an infinite range, although its effects become increasingly weaker on farther objects. |
|
In particular, Johnson emphasises God's infinite love and shows that happiness can be attained through virtuous action. |
|
Instead, full recompense could only be made by God, which His infinite mercy inclines Him to provide. |
|
Further, God's infinite justice demands infinite restitution for the impairment of his infinite dignity. |
|
Calculus provides tools, especially the limit and the infinite series, which resolve the paradoxes. |
|
The sea had jeeringly kept his finite body up, but drowned the infinite of his soul. |
|
The potentials and electric fields due to the infinite plane and line charges and point multipoles are analyzed. |
|
There are several recursion theorems for large sets, such that a single new halving results in several new infinite families of halvings. |
|
We... labor to find our identity in the infinite in spite of our encumberment in finity. |
|
Sitting close beside it, taking the air with an infinite sadness of mien, like some disconsolate prisoner, Utterson saw Dr. Jekyll. |
|
And this was the first testimony of the infinite dilection of God towards man. |
|
You hold that every sin is an infinite evil, demeriting endless punishment. |
|
Proposition 1.5.6. Any subgroup of an infinite cyclic group is also an infinite cyclic group. |
|
Co-recursive algorithms allow infinite large objects to be used without necessarily running out of memory. |
|
Programming languages with lazy evaluation support corecursion so that the programmer can refer to infinite objects. |
|
The convex hull of a compact subset of an infinite dimensional topological vector space need not be a compact set. |
|
He's a snob of the first water and views the lower orders with infinite condescension. |
|