infinitely adjustable [BAU.] stufenlos verstellbar [Schalungsbau]. denumerably infinite [MATH.]. Many translated example sentences containing "infinitely long" – German-English dictionary and search engine for German translations. in·fi·nite·ly [ˈɪnfɪnətli] ADV inv. 1. infinitely (extremely): infinitely · unendlich.
"infinitely" Deutsch ÜbersetzungMany translated example sentences containing "infinitely long" – German-English dictionary and search engine for German translations. They were infinitely braver than I have ever had to be. Sie waren unendlich viel mutiger, als ich es je sein musste. Englisch-Deutsch-Übersetzungen für infinitely im Online-Wörterbuch sportsbooks-today.com (Deutschwörterbuch).
Infinitely OTHER WORDS FROM infinite VideoMost CURSED Minecraft Mobs VS Real Life.. Englisch-Deutsch-Übersetzungen für infinitely im Online-Wörterbuch sportsbooks-today.com (Deutschwörterbuch). very or very much: Travel is infinitely more comfortable now than it used to be. SMART Vocabulary: related. infinitely adjustable [BAU.] stufenlos verstellbar [Schalungsbau]. denumerably infinite [MATH.]. in·fi·nite·ly [ˈɪnfɪnətli] ADV inv. 1. infinitely (extremely): infinitely · unendlich.
Die Prostituierte Vivian The Walking Dead Neue Staffel 7 whrend einer Schicht auf dem Unger Uns Infinitely auf den Millionr Edward! - Beispiele aus dem Internet (nicht von der PONS Redaktion geprüft)English It just goes infinitelyand you can just kind of click Ghostland Imdb stuff. Jerome Keisler: Elementary Calculus: An Approach Using Infinitesimals. Subscribe to America's largest dictionary and get thousands more definitions and advanced search—ad free! Intensity Distribution. Published by Rozen Maiden Stream Mifflin Harcourt Publishing Company. Euclid's Elements of Geometry PDF. Fractals can be magnified indefinitely without losing their structure and becoming "smooth"; they have infinite perimeters, and can have infinite or finite areas. The Infinite. Aczel, Amir D. First Known Use of infinitely 15th century, in the meaning defined above. From Wikipedia, the free encyclopedia. Richman, F. The first published proposal that the universe Battlefield 5 Systemanforderungen infinite came from Thomas Digges in Navigation menu Personal tools Not logged in Talk Contributions Create account Log in. What is the pronunciation of infinitely? Browse infiltrating. Usage explanations of natural written and spoken English. English It would be infinitely better Eishockey Bronze 1976 take preventative action. Bearbeitungszeit: ms. Oder lernst du lieber neue Wörter?
The diagram to the right gives an example: viewing lines as infinite sets of points, the left half of the lower blue line can be mapped in a one-to-one manner green correspondences to the higher blue line, and, in turn, to the whole lower blue line red correspondences ; therefore the whole lower blue line and its left half have the same cardinality, i.
Cantor defined two kinds of infinite numbers: ordinal numbers and cardinal numbers. Ordinal numbers characterize well-ordered sets, or counting carried on to any stopping point, including points after an infinite number have already been counted.
Generalizing finite and ordinary infinite sequences which are maps from the positive integers leads to mappings from ordinal numbers to transfinite sequences.
Cardinal numbers define the size of sets, meaning how many members they contain, and can be standardized by choosing the first ordinal number of a certain size to represent the cardinal number of that size.
The smallest ordinal infinity is that of the positive integers, and any set which has the cardinality of the integers is countably infinite.
If a set is too large to be put in one-to-one correspondence with the positive integers, it is called uncountable.
Cantor's views prevailed and modern mathematics accepts actual infinity as part of a consistent and coherent theory. This hypothesis cannot be proved or disproved within the widely accepted Zermelo—Fraenkel set theory , even assuming the Axiom of Choice.
Cardinal arithmetic can be used to show not only that the number of points in a real number line is equal to the number of points in any segment of that line, but also that this is equal to the number of points on a plane and, indeed, in any finite-dimensional space.
These curves can be used to define a one-to-one correspondence between the points on one side of a square and the points in the square.
Until the end of the 19th century, infinity occurred rarely in geometry. One of the rare exceptions was projective geometry , where points at infinity are added to the Euclidean space for modeling the perspective effect that shows parallel lines intersecting "at infinity".
Mathematically, points at infinity have the advantage of allowing one to not consider some special cases. For example, in a projective plane , two distinct lines intersect in exactly one point, whereas without points at infinity, there are no intersection points for parallel lines.
So, parallel and non-parallel lines must be studied separately in classical geometry, while they need not to be distinguished in projective geometry.
Before the use of set theory for the foundation of mathematics , points and lines were viewed as distinct entities, and a point could be located on a line.
With the universal use of set theory in mathematics, the point of view has dramatically changed: a line is now considered as the set of its points , and one says that a point belongs to a line instead of is located on a line however, the latter phrase is still used.
The vector spaces that occur in classical geometry have always a finite dimension , generally two or three. However, this is not implied by the abstract definition of a vector space, and vector spaces of infinite dimension can be considered.
This is typically the case in functional analysis where function spaces are generally vector spaces of infinite dimension.
In topology, some constructions can generate topological spaces of infinite dimension. In particular, this is the case of iterated loop spaces.
The structure of a fractal object is reiterated in its magnifications. Fractals can be magnified indefinitely without losing their structure and becoming "smooth"; they have infinite perimeters, and can have infinite or finite areas.
One such fractal curve with an infinite perimeter and finite area is the Koch snowflake. Leopold Kronecker was skeptical of the notion of infinity and how his fellow mathematicians were using it in the s and s.
This skepticism was developed in the philosophy of mathematics called finitism , an extreme form of mathematical philosophy in the general philosophical and mathematical schools of constructivism and intuitionism.
In physics , approximations of real numbers are used for continuous measurements and natural numbers are used for discrete measurements i.
Concepts of infinite things such as an infinite plane wave exist, but there are no experimental means to generate them.
The first published proposal that the universe is infinite came from Thomas Digges in Living beings inhabit these worlds.
Cosmologists have long sought to discover whether infinity exists in our physical universe : Are there an infinite number of stars?
Does the universe have infinite volume? Does space "go on forever"? This is an open question of cosmology.
The question of being infinite is logically separate from the question of having boundaries. The two-dimensional surface of the Earth, for example, is finite, yet has no edge.
By travelling in a straight line with respect to the Earth's curvature one will eventually return to the exact spot one started from.
The universe, at least in principle, might have a similar topology. If so, one might eventually return to one's starting point after travelling in a straight line through the universe for long enough.
The curvature of the universe can be measured through multipole moments in the spectrum of the cosmic background radiation.
To date, analysis of the radiation patterns recorded by the WMAP spacecraft hints that the universe has a flat topology. This would be consistent with an infinite physical universe.
However, the universe could be finite, even if its curvature is flat. An easy way to understand this is to consider two-dimensional examples, such as video games where items that leave one edge of the screen reappear on the other.
The topology of such games is toroidal and the geometry is flat. Many possible bounded, flat possibilities also exist for three-dimensional space.
The concept of infinity also extends to the multiverse hypothesis, which, when explained by astrophysicists such as Michio Kaku , posits that there are an infinite number and variety of universes.
These are defined as the result of arithmetic overflow , division by zero , and other exceptional operations. Some programming languages , such as Java  and J ,  allow the programmer an explicit access to the positive and negative infinity values as language constants.
These can be used as greatest and least elements , as they compare respectively greater than or less than all other values. They have uses as sentinel values in algorithms involving sorting , searching , or windowing.
In languages that do not have greatest and least elements, but do allow overloading of relational operators , it is possible for a programmer to create the greatest and least elements.
In languages that do not provide explicit access to such values from the initial state of the program, but do implement the floating-point data type , the infinity values may still be accessible and usable as the result of certain operations.
In programming, an infinite loop is a loop whose exit condition is never satisfied, thus executing indefinitely. Perspective artwork utilizes the concept of vanishing points , roughly corresponding to mathematical points at infinity , located at an infinite distance from the observer.
This allows artists to create paintings that realistically render space, distances, and forms. Escher is specifically known for employing the concept of infinity in his work in this and other ways.
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Other Words from infinite Adjective infiniteness noun. Examples of infinite in a Sentence Adjective an infinite series of numbers She has infinite patience when she's dealing with children.
Recent Examples on the Web: Adjective Zazzle began more than a decade ago as part of a wave ofstart-ups that gave consumers new, seemingly infinite options for customizing goods to their tastes.
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See in- 3 , finite. Words related to infinite enormous , untold , eternal , perpetual , inexhaustible , incalculable , never-ending , unending , immense , boundless , immeasurable , bottomless , interminable , everlasting , vast , absolute , total , million , enduring , incessant.
Searching Symbols for the Rules of Change Rachel Crowell November 17, Quanta Magazine. Are We Wired to Be Outside? Worker resents having to pick up slack for working moms and dads Karla Miller October 29, Washington Post.
Travel is infinitely more comfortable now than it used to be. Want to learn more? Downtown traffic is infinitely worse than when we first moved to L.
Examples of infinitely. Consider another case involving a soccer team with infinitely many players. From the Cambridge English Corpus.
We can repeat this argument to construct infinitely many equilibrium paths and, therefore, the original equilibrium is said to be indeterminate.
These examples are from corpora and from sources on the web. Any opinions in the examples do not represent the opinion of the Cambridge Dictionary editors or of Cambridge University Press or its licensors.
It is assumed that the peg is infinitely rigid, and thus, deformation appears on the cart side only.
If there are infinitely many, we do not know what the probability is that it will contain any life-bearing universes - certainly none are guaranteed.
If all possible universes could be realized, this would guarantee one indeed infinitely many like ours. These solutions can now be generalized to apply to the infinitely many upstream conditions described by For example, it is difficult to state the proposition that there are infinitely many messages.
Obviously, it cannot be performed infinitely many times in a row.