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homotopy (in a nice way), an infinite loop space machine produces a group completion of X together with infinite loop space structure. For example, one
Infinite_loop_space_machine
Control flow construct for executing code repeatedly
program contains an infinite loop is known as the halting problem. A conditional loop (also known as an indeterminate loop) is a loop that determines whether
Loop_(statement)
American mathematician
on algebraic K-theory. His results include a proof that all infinite loop space machines are in some sense equivalent, and progress on the Quillen–Lichtenbaum
Robert_Wayne_Thomason
Mathematical concept
result of certain operations.[citation needed] In programming, an infinite loop is a loop whose exit condition is never satisfied, thus executing indefinitely
Infinity
Mathematics glossary
homotopy groups and homology groups. infinite loop space infinite loop space machine Infinite loop space machine. infinite mapping telescope intersection intersection
Glossary of algebraic topology
Glossary_of_algebraic_topology
In computer science, a loop variant is a mathematical function defined on the state space of a computer program whose value is monotonically decreased
Loop_variant
How software progresses through its implementation
met (indefinite iteration), or infinitely. A loop inside the loop body is called a nested loop. Early exit from a loop may be supported via a break statement
Control_flow
State of being limited or ended
Syntax der deutschen Sprache. Berlin: de Gruyter. "What is infinite loop (endless loop)". Archived from the original on 2019-07-15. Retrieved 2020-01-22
Finiteness
Computation model defining an abstract machine
Turing machine to go into an infinite loop which will never halt. The Turing machine was invented in 1936 by Alan Turing, who called it an "a-machine" (automatic
Turing_machine
Theory of quantum gravity merging quantum mechanics and general relativity
of quantum space. Research has evolved in two directions: the more traditional canonical loop quantum gravity, and the newer covariant loop quantum gravity
Loop_quantum_gravity
Set of all possible values of a system
the state space is not a tree since it is possible to enter a loop by moving between any 4 adjacent squares. State spaces can be either infinite or finite
State space (computer science)
State_space_(computer_science)
1996 novel by David Foster Wallace
Infinite Jest is a 1996 novel by American writer David Foster Wallace. Often considered Wallace’s magnum opus, the book has been categorized as an encyclopedic
Infinite_Jest
Topological space with only one nontrivial homotopy group
K ( Z , 1 ) {\displaystyle K(\mathbb {Z} ,1)} . The infinite-dimensional complex projective space C P ∞ {\displaystyle \mathbb {CP} ^{\infty }} is a model
Eilenberg–MacLane_space
Type of software bug
stack overflow is excessively deep or infinite recursion, in which a function calls itself so many times that the space needed to store the variables and
Stack_overflow
Conjecture that the laws of physics prevent closed timelike curves
loop; in this way the same particle or wave can make a potentially infinite number of loops through the same regions of spacetime, piling up on itself. Calculations
Chronology protection conjecture
Chronology_protection_conjecture
Both deterministic and nondeterministic machines can solve more problems given more space
machine rejects by entering an infinite (space-constrained) loop. Simply counting the number of steps taken would increase space consumption by about f (
Space_hierarchy_theorem
Condition in which spacetime itself breaks down
Since the singularity has nonzero mass in an infinitely small space, it can be thought of as having infinite density. Observers falling into a Schwarzschild
Gravitational_singularity
1995 studio album by The Smashing Pumpkins
Mellon Collie and the Infinite Sadness is the third studio album by the American alternative rock band the Smashing Pumpkins, released on October 23, 1995
Mellon Collie and the Infinite Sadness
Mellon_Collie_and_the_Infinite_Sadness
fiction Category:Time loop television series Category:Time loop television episodes Category:Video games about time loops Category:Time loop novels Matthew Jones;
List of films featuring time loops
List_of_films_featuring_time_loops
Concept in theoretical computer science
longest number of steps. Since an endlessly looping program producing infinite output or running for infinite time is easily conceived, such programs are
Busy_beaver
Use of functions that call themselves
to progress toward a base case, the algorithm can get trapped in an infinite loop. In the factorial example, the recursive case is defined as: n ! = n
Recursion_(computer_science)
Memory space for a deterministic Turing machine
than that, then some configuration will repeat, and M will go into an infinite loop. There are also at most | C | {\displaystyle |{\mathcal {C}}|} possibilities
DSPACE
Pathological embedding of the sphere in 3D space
three-dimensional space. Together with its inside, it is a topological 3-ball, the Alexander horned ball, and so is simply connected; i.e., every loop can be shrunk
Alexander_horned_sphere
Cohomology class
interpretation of K-theory, in the operad approach one uses a machine of multiplicative infinite loop space theory. A more recent approach for finding E ∞ {\displaystyle
Highly structured ring spectrum
Highly_structured_ring_spectrum
Magma obeying the Latin square property
x) for each x, y and z in Q (a right Bol loop). A loop that is both a left and right Bol loop is a Moufang loop. This is equivalent to any one of the following
Quasigroup
Study of abstract machines and automata
communities. The earlier concept of Turing machine was also included in the discipline along with new forms of infinite-state automata, such as pushdown automata
Automata_theory
Australian mathematician
homotopy theory in the past four decades, including an approach to infinite loop spaces. He was also a pioneer of elliptic cohomology, which is related to
Graeme_Segal
Theoretical paradox resulting from time travel
exemplified by the Newcomb paradox. A causal loop, also known as a bootstrap paradox, information loop, information paradox, or ontological paradox,
Temporal_paradox
Possibility of a consistent definition of "clockwise" in a mathematical space
some loops in it, and coming back to the starting point. This means that a geometric shape, such as , that moves continuously along such a loop is changed
Orientability
Theory of quantum gauge fields on a lattice
theory calculations in continuous spacetime formally involve evaluating an infinite-dimensional path integral, which is computationally intractable. By working
Lattice_gauge_theory
World line of a particle in spacetime which returns to its starting point
affine parameter around a loop. Because of this redshift factor, the affine parameter terminates at a finite value after infinitely many revolutions because
Closed_timelike_curve
Class of algorithms for pattern analysis
machines is infinite dimensional but only requires a finite dimensional matrix from user-input according to the representer theorem. Kernel machines are
Kernel_method
Branch of engineering and mathematics
redirect targets Distributed parameter systems – System with an infinite-dimensional state-spacePages displaying short descriptions of redirect targets Fractional-order
Control_theory
Statistics and machine learning technique
statistical ensemble in statistical mechanics, which is usually infinite, a machine learning ensemble consists of only a concrete finite set of alternative
Ensemble_learning
Hewitt–Savage zero–one law Law of truly large numbers Littlewood's law Infinite monkey theorem Littlewood–Offord problem Inclusion–exclusion principle
List_of_probability_topics
Property of light sources related to black-body radiation
colors, in which "red" is "hot", and "blue" is "cold". The color of an infinitely hot blackbody. #94b1ff As the temperature of a black-body radiator approaches
Color_temperature
Software optimization technique
evaluation has the advantage of being able to create calculable infinite lists without infinite loops or size matters interfering in computation. The actual values
Lazy_evaluation
Modular space station in low Earth orbit
Pearlman, Robert Z. (23 November 2021). "'The Infinite' VR space station tour to premiere spacewalk in Houston". Space.com. Archived from the original on 10 August
International_Space_Station
Two-dimensional cellular automaton
resources permitting) or win condition. The Game of Life is played on an infinite square grid, with each cell being in one of two states: live or dead. Cells
Conway's_Game_of_Life
Monster and modular connection
Borcherds". American Mathematical Society. Roberts, Siobhan (2009), King of Infinite Space: Donald Coxeter, the Man Who Saved Geometry, Bloomsbury Publishing USA
Monstrous_moonshine
Mathematical space used to study hyperbolic geometry
Gyrogroups are a type of Bol loop. Gyrocommutative gyrogroups are equivalent to K-loops although defined differently. The terms Bruck loop and dyadic symset are
Gyrovector_space
Principle suggesting that time travel paradoxes are inherently impossible
initial trajectories of the billiard ball, there could actually be an infinite number of self-consistent solutions. Echeverria, Klinkhammer, and Thorne
Novikov self-consistency principle
Novikov_self-consistency_principle
cycle in the graph corresponds to an infinite loop in the computation. The computational graph can be of infinite size if there are no restrictions on
Configuration_graph
Computational complexity
polynomial number of configurations it can use randomness to escape an infinite loop. If we do limit it to polynomial time, we get the class RL, which is
NL_(complexity)
Deep learning generative model to encode data representation
space, rather than to a single point in that space. The decoder has the opposite function, which is to map from the latent space to the input space,
Variational_autoencoder
American hyperthymesiac author (born 1965)
2017-02-08. Retrieved 2021-07-12. Shafy, Samiha (2008-11-21). "An Infinite Loop in the Brain". The Science of Memory. Spiegel Online. Retrieved 6 December
Jill_Price
British mathematician
Boris; Ebert, Johannes; Randal-Williams, Oscar (14 February 2017). "Infinite loop spaces and positive scalar curvature". Inventiones Mathematicae. 209 (3)
Oscar_Randal-Williams
Arrowverse crossover event
"Crisis on Infinite Earths" is the sixth Arrowverse crossover event, featuring episodes of Supergirl, Batwoman, The Flash, Arrow, and Legends of Tomorrow
Crisis on Infinite Earths (Arrowverse)
Crisis_on_Infinite_Earths_(Arrowverse)
an infinite loop or a blocking system call (like sleep). This works by prompting processors affected in the attack to be stuck in an infinite loop and
Blind return-oriented programming
Blind_return-oriented_programming
Property of space that quantifies the magnetic influence at a given location
wire into a loop concentrates the magnetic field inside the loop while weakening it outside. Bending a wire into multiple closely spaced loops to form a
Magnetic_field
Description of gravity using discrete values
also affects the structure of space. The main result of loop quantum gravity is that there is a granular structure of space at the Planck length. This is
Quantum_gravity
Method in physics used to deal with infinities
compensate for effects of their self-interactions. Even if no infinities arose in loop diagrams in quantum field theory, it can be shown that it is necessary to
Renormalization
Rubik's puzzle
problem to be solved; it offers infinite possibilities of combination. It is a tool to test out ideas of shape in space. Speaking theoretically, the number
Rubik's_Snake
Metric for source code testing
have up to 2 n {\displaystyle 2^{n}} paths within it; loop constructs can result in an infinite number of paths. Many paths may also be infeasible, in
Code_coverage
Tiling of hyperbolic 3-space by uniform polyhedra
tessellation consisting of small rhombicuboctahedra , infinite order-8 triangular tilings , and infinite order-8 square tilings . The order-8 square tilings
Uniform honeycombs in hyperbolic space
Uniform_honeycombs_in_hyperbolic_space
American professor of cognitive science (born 1945)
Artists of Optical Illusion by Al Seckel, 2004. (Foreword) King of Infinite Space: Donald Coxeter, the Man Who Saved Geometry by Siobhan Roberts, Walker
Douglas_Hofstadter
Approach to controller design that explicitly deals with uncertainty
errors and disturbances is quantified via metrics on function spaces where these reside (infinite dimensional). The term robust control became almost synonymous
Robust_control
Interlinked multi-loop construction where cutting one loop frees all the others
number three or above, there are an infinite number of links with the Brunnian property containing that number of loops. Here are some relatively simple
Brunnian_link
Functions whose execution can be paused
program components such as cooperative tasks, exceptions, event loops, iterators, infinite lists and pipes. They have been described as "functions whose
Coroutine
Systems with external interactions
from some source in the surrounding environment, which can be treated as infinite for the purposes of study. One type of open system is the radiant energy
Open_system_(systems_theory)
from Infinite Jest] 1993: "The Awakening of My Interest in Annular Systems" Archived 2013-02-10 at the Wayback Machine, Harper's Excerpt from Infinite Jest
David Foster Wallace bibliography
David_Foster_Wallace_bibliography
Study of resources used by an algorithm
outer loop, j iterates from 1 to 2: the inner loop makes two passes, so running the inner loop body (step 6) consumes 2T6 time, and the inner loop test
Analysis_of_algorithms
Hypothetical approach to quantum gravity with emergent spacetime
that, like loop quantum gravity, is background independent. This means that it does not assume any pre-existing arena (dimensional space) but, rather
Causal dynamical triangulation
Causal_dynamical_triangulation
Runtime system for operating systems
program always terminates within a reasonable amount of time (no infinite loops or infinite recursion), checking that an eBPF program is not allowed to read
EBPF
Form taken by the network of interconnections of a circuit
is a loop which does not enclose any other loops. Maze. This term is another coining by Guillemin (Guillemin, p.xv). So named because the spaces in a
Circuit_topology_(electrical)
Loop that increases an initial effect
feedback, self-reinforcing feedback) is a process that occurs in a feedback loop where the outcome of a process reinforces the inciting process to build momentum
Positive_feedback
Set of methods for supervised statistical learning
formally, a support vector machine constructs a hyperplane or set of hyperplanes in a high or infinite-dimensional space, which can be used for classification
Support_vector_machine
Field of machine learning
scale well with the number of states (or scale to problems with infinite state spaces), simple exploration methods are the most practical. One such method
Reinforcement_learning
Turkish media artist and designer
mapping to transform every surface of the room into an abstract infinite moving space. A temporary immersive environment, Infinity Room was also exhibited
Refik_Anadol
Of a function, an additional effect besides returning a value
(b = 3) {} // b = 3 evaluates to 3, which then casts to true so the loop is infinite Action at a distance (computer programming) Don't-care term Effect
Side effect (computer science)
Side_effect_(computer_science)
Graphical interface allowing image scaling
Architecture Machine Group at MIT in the 1970s. Hand tracking, touchscreen, joystick, and voice control were employed to control an infinite plane of projects
Zooming_user_interface
Hypothetical object of spacetime
Schwarzschild coordinates, infalling particles take an infinite time to reach the black hole horizon infinitely far in the future, while outgoing particles that
White_hole
Complexity class
machine that tries all truth value assignments and when it finds one that satisfies the formula it halts and otherwise it goes into an infinite loop.
NP-hardness
Process of developing trajectory performance
generate a closed-loop solution in the sense of Caratheodory. If only the first step of the trajectory is executed for an infinite-horizon problem, then
Trajectory_optimization
2008 film by Kunihiko Yuyama
Giratina's ability to venture to the world of reality by trapping it in an infinite time loop. Shaymin runs into Pokémon trainers Ash Ketchum, Dawn, and Brock,
Pokémon: Giratina & the Sky Warrior
Pokémon:_Giratina_&_the_Sky_Warrior
Mathematical model of the physical space
some of their other implications for the structure of space, such as whether or not it is infinite (see below) and what its topology is. Modern, more rigorous
Euclidean_geometry
Electric and magnetic fields produced by moving charged objects
space and time, that represents the electric and magnetic influences generated by and acting upon electric charges. The field at any point in space and
Electromagnetic_field
Cellular automaton used to model universal construction
known as the von Neumann neighbourhood. The set of FSAs define a cell space of infinite size. All FSAs are identical in terms of state-transition function
Von Neumann cellular automaton
Von_Neumann_cellular_automaton
Description of physical properties at the atomic and subatomic scale
Phase-space formulation Regularization (physics) Two-state quantum system A momentum eigenstate would be a perfectly monochromatic wave of infinite extent
Quantum_mechanics
Computational problem
often be achieved by identifying a single counterexample, such as an infinite loop or an incorrect result. The formal verification and correctness analysis
Motion_planning
6th episode of the 4th season of Stargate SG-1
help of the time machine. O'Neill's experience of his son's death convinces Malikai to shut down the device before yet another new loop can start. Back
Window of Opportunity (Stargate SG-1)
Window_of_Opportunity_(Stargate_SG-1)
Number of independent parameters needed to define the state of a mechanical system
deformable body may be thought of as a collection of many minute particles (infinite number of DOFs), this is often approximated by a finite DOF system. When
Degrees of freedom (mechanics)
Degrees_of_freedom_(mechanics)
Software specification for avionics
faulty process. In some (theoretical) cases, this could lead to an infinite loop between the faulty process and the error handler. The error handler
ARINC_653
Mathematical model of the time dependence of a point in space
transformations; a periodic orbit is a loop in phase space and smooth deformations of the phase space cannot alter it being a loop. It is in the neighborhood of
Dynamical_system
American digital artist (born 1981)
Knowledge, Gibbes Museum of Art, Charleston, South Carolina 2026: / Infinite_Loop, NODE gallery, Palo Alto, California Winkelmann is based in North Charleston
Mike_Winkelmann
Class of artificial neural network
noted that a fully cross-coupled perceptron network is equivalent to an infinitely deep feedforward network. Similar networks were published by Kaoru Nakano
Recurrent_neural_network
Visual aid to depiction of a vector field
the endpoints of field lines. Since there are an infinite number of points in any region, an infinite number of field lines can be drawn; but only a limited
Field_line
American procedurally generated sitcom livestream
1, 2023). "An AI-generated parody of 'Seinfeld' is streaming on an infinite loop". Mashable. Archived from the original on February 1, 2023. Retrieved
Nothing,_Forever
2016 video game
Nexus 5X. The game is still set in the Stellaris universe. Star Trek: Infinite was released on October 12, 2023 by Paradox. It was described as extremely
Stellaris_(video_game)
Law of classical electromagnetism
unit vector of along the center-line of the loop (and the loop is taken to be centered at the origin). Loops such as the one described appear in devices
Biot–Savart_law
Optimization algorithm
works in spaces of any number of dimensions, even in infinite-dimensional ones. In the latter case, the search space is typically a function space, and one
Gradient_descent
2008 studio album by Steve Roach
like a big sigh," "breathing," and "infinite in its essence." Upon completion, A Deeper Silence was played back in "loop mode" for four months in Steve Roach's
A_Deeper_Silence
Branch of mathematics that studies the properties of groups
other well-known algebraic structures, such as rings, fields, and vector spaces, can all be seen as groups endowed with additional operations and axioms
Group_theory
L.C.: Death Match Love Comedy (Android) Fanatic Earth (iOS & Android) Infinite Dunamis (iOS & Android) Izumo Rei no Chousahoukokucho: Tozasareta Negai
List_of_Kemco_games
Possible future technology
tube Laser broom Laser propulsion Launch loop Lightcraft Liquid core nuclear propulsion Lunarcrete Lunar space elevator MagBeam Magnetic sail McKendree
List of hypothetical technologies
List_of_hypothetical_technologies
American businessman and inventor (1955–2011)
ISBN 978-0761-31393-9. worked as a machinist Malone, Michael S. (1999). Infinite Loop: How the World's Most Insanely Great Computer Company Went Insane. Currency/Doubleday
Steve_Jobs
American astrophysicist (born 1947)
serious discussion in physics Regular pseudopolyhedrons, infinite periodic polyhedra in 3-space "Matthew Headrick CV" (PDF). Hawking, Stephen (1992). "Chronology
J._Richard_Gott
Category of mathematical proof
machine (including itself) will become trapped in an unproductive ‘infinite loop’ (i.e. it fails to continue its computation of the diagonal number)
Proof_of_impossibility
Theory of gravitation as curved spacetime
be displayed using Penrose–Carter diagrams in which infinitely large regions of space and infinite time intervals are shrunk ("compactified") so as to
General_relativity
Bean machine Cox's theorem Equipossible Exotic probability Extractor Free probability Frequency Frequency probability Impossible event Infinite monkey
Catalog of articles in probability theory
Catalog_of_articles_in_probability_theory
INFINITE LOOP-SPACE-MACHINE
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INFINITE LOOP-SPACE-MACHINE
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INFINITE LOOP-SPACE-MACHINE
INFINITE LOOP-SPACE-MACHINE
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INFINITE LOOP-SPACE-MACHINE