Another posts

valero definition enactor definition fortalice definition octa definition spar deck putter out artifactual definition wool combers draw on definition mollyscum contagiosum what is carnal abuse solano definition bourguignon definition bromothymol blue definition rogues gallery definition definition of floor leader define rascality enshroud synonym vindicator meaning thomas moore definition insubstantial vs unsubstantial pulled a face llew llaw gyffes antonym for undulate bad guy definition example of invective enragement definition tol lol rapid growth definition sea pidgeon a vengeance definition anti monopoly definition soon enough meaning

sound

Definitions

  • CONVOY SAILING FROM PLYMOUTH SOUND
    CONVOY SAILING FROM PLYMOUTH SOUND
  • WordNet 3.6
    • adj sound thorough "a sound thrashing"
    • adj sound (of sleep) deep and complete "a heavy sleep","fell into a profound sleep","a sound sleeper","deep wakeless sleep"
    • adj sound in excellent physical condition "good teeth","I still have one good leg","a sound mind in a sound body"
    • adj sound exercising or showing good judgment "healthy scepticism","a healthy fear of rattlesnakes","the healthy attitude of French laws","healthy relations between labor and management","an intelligent solution","a sound approach to the problem","sound advice","no sound explanation for his decision"
    • adj sound free from moral defect "a man of sound character"
    • adj sound financially secure and safe "sound investments","a sound economy"
    • adj sound in good condition; free from defect or damage or decay "a sound timber","the wall is sound","a sound foundation"
    • adj sound having legal efficacy or force "a sound title to the property"
    • adj sound logically valid "a sound argument"
    • v sound measure the depth of (a body of water) with a sounding line
    • v sound utter with vibrating vocal chords
    • v sound appear in a certain way "This sounds interesting"
    • v sound give off a certain sound or sounds "This record sounds scratchy"
    • v sound make a certain noise or sound "She went `Mmmmm'","The gun went `bang'"
    • v sound cause to sound "sound the bell","sound a certain note"
    • v sound announce by means of a sound "sound the alarm"
    • n sound the particular auditory effect produced by a given cause "the sound of rain on the roof","the beautiful sound of music"
    • n sound the subjective sensation of hearing something "he strained to hear the faint sounds"
    • n sound the audible part of a transmitted signal "they always raise the audio for commercials"
    • n sound (phonetics) an individual sound unit of speech without concern as to whether or not it is a phoneme of some language
    • n sound the sudden occurrence of an audible event "the sound awakened them"
    • n sound a large ocean inlet or deep bay "the main body of the sound ran parallel to the coast"
    • n sound a narrow channel of the sea joining two larger bodies of water
    • n sound mechanical vibrations transmitted by an elastic medium "falling trees make a sound in the forest even when no one is there to hear them"
    • ***

Additional illustrations & photos:

sleeps so soundly sleeps so soundly
"AND THEN THERE CAME A RIPPING SOUND" "AND THEN THERE CAME A RIPPING SOUND"

Webster's Revised Unabridged Dictionary
  • Interesting fact: At 188 decibels, the whistle of the blue whale is the loudest sound produced by any animal.
    • n Sound (Zoöl) A cuttlefish.
    • n Sound (Geog) A narrow passage of water, or a strait between the mainland and an island; also, a strait connecting two seas, or connecting a sea or lake with the ocean; as, the Sound between the Baltic and the german Ocean; Long Island Sound . "The Sound of Denmark, where ships pay toll."
    • n Sound (Med) Any elongated instrument or probe, usually metallic, by which cavities of the body are sounded or explored, especially the bladder for stone, or the urethra for a stricture.
    • Sound Fig.: To ascertain, or try to ascertain, the thoughts, motives, and purposes of (a person); to examine; to try; to test; to probe. "I was in jest,
      And by that offer meant to sound your breast."
      "I've sounded my Numidians man by man."
    • Sound Firm; strong; safe. "The brasswork here, how rich it is in beams,
      And how, besides, it makes the whole house sound ."
    • Sound Founded in law; legal; valid; not defective; as, a sound title to land.
    • Sound Founded in truth or right; supported by justice; not to be overthrown on refuted; not fallacious; as, sound argument or reasoning; a sound objection; sound doctrine; sound principles. "Hold fast the form of sound words, which thou hast heard of me."
    • Sound Free from error; correct; right; honest; true; faithful; orthodox; -- said of persons; as, a sound lawyer; a sound thinker. "Do not I know you a favorer
      Of this new seat? Ye are nor sound ."
    • Sound Healthy; not diseased; not being in a morbid state; -- said of body or mind; as, a sound body; a sound constitution; a sound understanding.
    • Sound heavy; laid on with force; as, a sound beating.
    • Sound Noise without signification; empty noise; noise and nothing else. "Sense and not sound . . . must be the principle."
    • adv Sound Soundly. "So sound he slept that naught might him awake."
    • n Sound The air bladder of a fish; as, cod sounds are an esteemed article of food.
    • Sound The occasion of sound; the impulse or vibration which would occasion sound to a percipient if present with unimpaired; hence, the theory of vibrations in elastic media such cause sound; as, a treatise on sound .
    • Sound The peceived object occasioned by the impulse or vibration of a material substance affecting the ear; a sensation or perception of the mind received through the ear, and produced by the impulse or vibration of the air or other medium with which the ear is in contact; the effect of an impression made on the organs of hearing by an impulse or vibration of the air caused by a collision of bodies, or by other means; noise; report; as, the sound of a drum; the sound of the human voice; a horrid sound; a charming sound; a sharp, high, or shrill sound . "The warlike sound Of trumpets loud and clarions."
    • v. i Sound To ascertain the depth of water with a sounding line or other device. "I sound as a shipman soundeth in the sea with his plummet to know the depth of sea."
    • Sound To be conveyed in sound; to be spread or published; to convey intelligence by sound. "From you sounded out the word of the Lord."
    • Sound To cause to exit as a sound; as, to sound a note with the voice, or on an instrument.
    • Sound To cause to make a noise; to play on; as, to sound a trumpet or a horn; to sound an alarm. "A bagpipe well could he play and soun d]."
    • Sound To celebrate or honor by sounds; to cause to be reported; to publish or proclaim; as, to sound the praises of fame of a great man or a great exploit.
    • Sound To examine the condition of (anything) by causing the same to emit sounds and noting their character; as, to sound a piece of timber; to sound a vase; to sound the lungs of a patient.
    • Sound (Med) To explore, as the bladder or urethra, with a sound; to examine with a sound; also, to examine by auscultation or percussion; as, to sound a patient.
    • Sound To make a noise; to utter a voice; to make an impulse of the air that shall strike the organs of hearing with a perceptible effect. "And first taught speaking trumpets how to sound .""How silver-sweet sound lovers' tongues!"
    • Sound To make or convey a certain impression, or to have a certain import, when heard; hence, to seem; to appear; as, this reproof sounds harsh; the story sounds like an invention. "Good sir, why do you start, and seem to fear
      Things that do sound so fair?"
    • Sound To measure the depth of; to fathom; especially, to ascertain the depth of by means of a line and plummet.
    • Sound To order, direct, indicate, or proclain by a sound, or sounds; to give a signal for by a certain sound; as, to sound a retreat; to sound a parley. "The clock sounded the hour of noon."
    • Sound To signify; to import; to denote. "Soun[d]ing alway the increase of his winning."
    • Sound Undisturbed; deep; profound; as, sound sleep.
    • Sound Whole; unbroken; unharmed; free from flaw, defect, or decay; perfect of the kind; as, sound timber; sound fruit; a sound tooth; a sound ship.
    • ***
Century Dictionary and Cyclopedia
  • Interesting fact: Girls tend to sleep more soundly than boys.
    • sound Healthy; not diseased; having all the organs and faculties complete and in perfect action: as, a sound mind; a sound body.
    • sound Whole; uninjured; unhurt; unmutilated; not lacerated or bruised: as, a sound limb.
    • sound Free from special defect, decay, or injury; unimpaired; not deteriorated: as, a sound ship; sound fruit; a sound constitution.
    • sound Morally healthy; honest; honorable; virtuous; blameless.
    • sound Without defect or flaw in logic; founded in truth; firm; strong; valid; that cannot be refuted or overthrown: as, a sound argument.
    • sound Right; correct; well-founded; free from error; pure: as, sound doctrine.
    • sound Reasoning accurately; logical; clear-minded; free from erroneous ideas; orthodox.
    • sound Founded in right and law; legal; not defective in law: as, a sound title; sound justice.
    • sound Unbroken and deep; undisturbed: said of sleep.
    • sound Thorough; complete; hearty.
    • sound Of financial condition, solvent; strong; not undermined by loss or waste: as, that bank is one of our soundest institutions.
    • sound Synonyms Hearty, hale, hardy, vigorous.
    • sound Entire, unbroken, undecayed.
    • sound Sane, rational, sensible.
    • n sound Safety.
    • sound To heal; make sound.
    • sound To become sound; heal.
    • sound Soundly; heartily; thoroughly; deeply: now used only of sleeping.
    • n sound A narrow passage of water not a stream, as a strait between the mainland and an isle, or a strait connecting two seas, or connecting a sea or lake with the ocean: as, Long Island Sound; the Sound (between Denmark and Sweden).
    • n sound In zoöl: The swimming-bladder or air-bladder of a fish. The sound is a hollow vesicular organ, originating from the digestive tract—in fact, a rudimentary lung, the actual homologue of the lungs of air-breathing vertebrates, though in fishes, as in other branchiates, respiration is effected by gills. (See air-bladder.) Some fishes' sounds are an esteemed article of food, as that of the cod, which when fried is something like an oyster so cooked; others are valuable as a source of isinglass.
    • n sound A cuttlefish.
    • sound To measure the depth of; fathom; try or test, as the depth of water and the quality of the ground, by sinking a plummet or lead attached to a line on which is marked the number of fathoms. Machines of various kinds are also used to indicate the depth to which the lead has descended. A cavity in the lower end of the lead is partially filled with tallow, by means of which some part of the earth, sand, gravel, shells, etc., of the bottom adhere to it and are drawn up. Numerous devices are in use for testing the nature of the bottom, as a pair of large forceps or scoops carried down by a weight, which are closed when they strike the ground, and so inclose some of the sand, shells, etc., a cup at the bottom of a long leaden weight, which is closed by a leathern cover when full, etc. See the accompanying cuts of apparatus used in sounding. Brooke's apparatus is said to be the first by which soundings of over 2,000 fathoms were made and specimens of the bottom obtained.
    • sound In surgery, to examine by means of a sound or probe, especially the bladder, in order to ascertain whether a stone is present or not.
    • sound Figuratively, to try; examine; discover, or endeavor to discover, that which is concealed in the mind of; search out the intention, opinion, will, or wish of.
    • sound To ascertain the depth of (water) in a ship's hold by lowering a sounding-rod into the pumpwell.
    • sound To make a sounding with, or carry down in sounding, as a whale the tow-line of a boat.
    • sound To use the line and lead in searching the depth of water.
    • sound To descend to the bottom; dive: said of fish and other marine animals. When a sperm-whale sounds, the fore parts are lifted a little out of water, a strong spout is given, the nose is dipped, the back and small are rounded up, the body bends on a cross-axis, the flukes are thrown up 20 or 30 feet, and the whale goes straight down head first, in less than its own length of water.
    • n sound In surgery any elongated instrument, usually metallic, by which cavities of the body are sounded or explored; a probe; specifically, an instrument used for exploring or dilating the urethra, or for searching the bladder for stone.
    • n sound The sensation produced through the ear, or organ of hearing; in the physical sense, either the vibrations of the sounding-body itself, or those of the air or other medium, which are caused by the sounding-body, and which immediately affect the ear. A musical sound, or tone, is produced by a continued and regular series of vibrations (or, in the physical sense, may be said to be these vibrations themselves); while a noise is caused either by a single impulse, as an electrical spark, or by a series of impulses following at irregular intervals, A sounding-body is a body which is in such a state of vibration as to produce a sound (see vibration). Thus, a tuning-fork, a bell, or a piano-string, if struck, will, in consequence of its elasticity, continue to vibrate for some time, producing, in the proper medium, a sound; similarly, the column of air in an organ-pipe becomes a sounding-body when a current of air is continually forced through the mouthpiece past the lip; again, an inelastic body, as a card, may become a sounding-body if it receives a series of blows at regular intervals and in sufficiently rapid succession, as from the teeth of a revolving cog-wheel. The vibrations of the sounding-body are conveyed to the ear by the intervening medium, which is usually the air, but may be any other gas, a liquid (as water), or an elastic solid. The presence of such a medium is essential, for sound is not propagated in a vacuum. The vibrations of the sounding-body, as a tuning-fork, produce in the medium a series of waves (see wave) of condensation and rarefaction, which are propagated in all directions with a velocity depending upon the nature of the medium and its temperature—for example, the velocity of sound in air is about 1,090 feet per second at 32° F. (0° C.), and increases slightly as the temperature rises; in other gases the velocity varies inversely as the square root of the density; it is consequently nearly four times as great in hydrogen. In liquids the velocity is greater than in air—for water, somewhat more than four times as great. In solids the velocity varies very widely, being relatively small in inelastic substances like wax and lead, and very great (two to three miles per second) in wood and steel. Sound-waves may differ
    • n sound A particular quality or character of tone, producing a certain effect on the hearer, or suggesting a particular cause; tone; note: as, a joyful sound; a sound of woe.
    • n sound Vocal utterance.
    • n sound Hearing-distance; ear-shot.
    • n sound Empty and unmeaning noise.
    • n sound Same as signal, 2.
    • n sound Synonyms Noise, Sound, Tone. Noise is that effect upon the ears which does not convey, and is not meant to convey, any meaning: as, the noise made by a falling chimney; street noises. Sound is a general word, covering noise and intelligible impressions upon the auditory nerves: as, the sound of cannon, of hoofs, of a trumpet of prayer. Tone is sound regarded as having a definite place on the musical scale, or as modified by feeling or physical affections, or as being the distinctive quality of sound possessed by a person or thing permanently or temporarily: as, his tones were those of anger; a piano of peculiarly rich tone. For technical distinctions, see def. 1 above, noise, and tone.
    • sound To produce vibrations affecting the ear; cause the sensation of sound; make a noise; produce a sound; also, to strike the organs of hearing with a particular effect; produce a specified audible effect: as, the wind sounds melancholy.
    • sound To cause something (as an instrument) to sound; make music.
    • sound To seem or appear when uttered; appear on narration: as, a statement that sounds like a fiction.
    • sound To be conveyed in sound; be spread or published.
    • sound To tend; incline.
    • sound To resound.
    • sound To cause to produce sound; set in audible vibration.
    • sound To utter audibly; pronounce; hence, to speak; express; repeat.
    • sound To order or direct by a sound; give a signal for by a certain sound: as, to sound a retreat.
    • sound To spread by sound or report; publish or proclaim; celebrate or honor by sounds.
    • sound To signify; import.
    • sound To examine by percussion, as a wall in order to discover hollow places or studding; specifically, in med., to examine by percussion and auscultation, in order to form a diagnosis by means of sounds heard: as, to sound the lungs.
    • sound An obsolete or dialectal contracted form of swound, swoon.
    • ***
Chambers's Twentieth Century Dictionary
  • Interesting fact: Xylophones(Greek xylon,"wood"; phone,"sound") were actually developed in South East Asia in the 14th centuary
    • adj Sound sownd safe, whole, entire: perfect: healthy, strong: profound: correct: orthodox: weighty
    • adv Sound soundly, completely fast, as in sleep
    • n Sound sownd a narrow passage of water: a strait.
    • n Sound sownd the air or swimming bladder of a fish.
    • v.i Sound sownd to make a noise: to utter a voice: to spread or be spread: to appear on narration
    • v.t Sound to cause to make a noise: to utter audibly: to direct by a sound or audible signal: to examine by percussion: to publish audibly
    • n Sound the impression produced on the ear by the vibrations of air: noise, particular quality of tone: report, hearing-distance: empty or meaningless noise
    • v.t Sound sownd to measure the depth of, esp. with a line and plummet: to probe: to try to discover a man's secret thoughts, wishes, &c.: to test: to introduce an instrument into the bladder to examine it
    • v.i Sound to use the line and lead in ascertaining the depth of water
    • n Sound a probe, an instrument to discover stone in the bladder
    • n Sound sownd (Spens.) swoon.
    • ***

Quotations

  • William Shakespeare
    William%20Shakespeare
    “The empty vessel makes the loudest sound.”
  • Mary Lou Retton
    Mary Lou Retton
    “As simple as it sounds, we all must try to be the best person we can: by making the best choices, by making the most of the talents we've been given.”
  • Henry Block
    Henry Block
    “We like to test things... no matter how good an idea sounds, test it first.”
  • Milan Kundera
    Milan%20Kundera
    “The sound of laughter is like the vaulted dome of a temple of happiness.”
  • Aneurin Bevan
    Aneurin%20Bevan
    “He seems determined to make a trumpet sound like a tin whistle.”
  • Bill Nye
    Bill Nye
    “Wagner's music is better than it sounds.”

Idioms

Safe and sound - If you arrive safe and sound, then nothing has harmed you on your way.
***
Sound as a bell - If something or someone is as sound as a bell, they are very healthy or in very good condition.
***
Sound as a pound - (UK) if something is as sound as a pound, it is very good or reliable.
***

Etymology

Webster's Revised Unabridged Dictionary
OE. soun, OF. son, sun, F. son, fr. L. sonus, akin to Skr. svana, sound, svan, to sound, and perh. to E. swan,. Cf. Assonant Consonant Person Sonata Sonnet Sonorous Swan

Usage

In literature:

The very spirit of battle breathes in the sound.
"Captain Desmond, V.C." by Maud Diver
It vanished to the accompaniment of loud gulping sounds.
"The Saracen: Land of the Infidel" by Robert Shea
And a new fear shook the child from the sound of his voice.
"The Rainbow" by D. H. (David Herbert) Lawrence
He heard a roaring sound and saw that from the bottom of the shining globe water was pouring.
"Shaman" by Robert Shea
Other sounds which came through the chaotic river of sound were the terrified screaming of the men and women who were doomed.
"Astounding Stories of Super-Science April 1930" by Various
Sounds incredible, doesn't it?
"The Valley of Silent Men" by James Oliver Curwood
A faint sound caught his quick ears.
"The Night Riders" by Ridgwell Cullum
Joan had started back, but at the sound of the voice she quickly recovered herself.
"The Golden Woman" by Ridgwell Cullum
It sounds very simple when recorded thus in a few brief lines.
"Astounding Stories of Super-Science, May, 1930" by Various
There was no sound between them, but of his breathing, which had become suddenly heavy.
"The One-Way Trail" by Ridgwell Cullum
So with sound; when I let the book drop, I was conscious of my thought of sound.
"Carmen Ariza" by Charles Francis Stocking
Again and again it sounded in a horrible crash of noise.
"The Pathless Trail" by Arthur O. (Arthur Olney) Friel
He strained his ears, but the sound, if sound it were, was not repeated.
"Fire Mountain" by Norman Springer
They had an official sound, a sound of adventure and desperation.
"The Bondboy" by George W. (George Washington) Ogden
That sounds mystical, but listen.
"Astounding Stories of Super-Science, December 1930" by Various
Uncle Moses caught the sound of disaster in his accent, before his words came to an end.
"When Ghost Meets Ghost" by William Frend De Morgan
He listened to another sound, too, A sound he could feel as well as hear.
"Dave Dawson at Dunkirk" by Robert Sydney Bowen
There was no sound but that of the rustling grasses stirring lazily in the early evening breeze from the east.
"Warrior of the Dawn" by Howard Carleton Browne
He saluted the laborers, and they answered him cheerfully, feeling from the sound of his voice that he greeted every stranger as a brother.
"Villa Eden:" by Berthold Auerbach
And these sounds filled the night with a sense of unknown dangers.
"Bye-Ways" by Robert Smythe Hichens
***

In poetry:

Ah what is this?
A sound of bliss
A kiss, a kiss--
Elation.
"Vitascope Pictures" by Edwin Carty Ranck
In the day and thro' the night
Sound the notes,
And its song thro' dark and bright
Ever floats.
"Singing-Bird" by Abram Joseph Ryan
Ring and swing,
Bells of joy! On morning's wing
Sound the song of praise abroad!
With a sound of broken chains
Tell the nations that He reigns,
Who alone is Lord and God!
"Laus Deo" by John Greenleaf Whittier
She saw a noble husband's fame
Grow more enduring with the years,
And in the land his honored name
Loom brighter through a mist of tears,
But the sound of muffled drum!
O the sound of muffled drum!
"Requiescat" by Edwin Carty Ranck
Brave South, 'tis but a moment's pause
E'er on that dim and distant shore,
The heroes of thy Fallen Cause
Will meet again to part no more
To the sound of muffled drum.
To the sound of muffled drum.
"Requiescat" by Edwin Carty Ranck
"They are gone! they have all pass'd by!
They in whose wars I had borne my part,
They that I lov'd with a brother's heart, They have left me here to die!
Sound again, clarion! Clarion, pour thy blast!
Sound! for the captive's dream of hope is past."
"The Captive Knight" by Felicia Dorothea Hemans

In news:

Whitney Balliett's definition of jazz as "the sound of surprise" has become a tired cliché by now, but the remark is no less true.
Sounds like an impossible mission.
Use it to revitalize the sound of your long-in-the-tooth CD player or the DVD player that you never thought sounded as good playing...
At the beginning of the summer, Creative Labs announced its latest Sound Blaster product, the Sound BlasterAxx.
The theory was to build a better sound reinforcement speaker, one whose coverage and sound pressure level completely matched each facility.
1 SOUND GUYS SOUND OFF – JAS & Christie Maconnell.
" The director "was looking for a better way to record sound for his movies," Cashin recalls of his start in film and sound technology.
Our daughter was messing around with our PC trying to add sound to a PowerPoint presentation and somehow messed up the sound completely.
Cloud computing sounds fluffy, it sounds cool, ...
HOBE SOUND — Veteran actor Burt Reynolds, a longtime Hobe Sound resident, is facing a foreclosure lawsuit that seeks to collect about $1.2 million for a mortgage on his nearly 4-acre Indian Hills estate on the Intracoastal Waterway.
Why "flat" sound is good sound.
He sounds just like Serj sounds.
With " Penthouse ", Luna expanded their sound adding cellos, vibraphones and keyboards in with their trademark fuzzy guitar sound.
Explore the sounds of a piano 's insides on this New Sounds program.
The US Environmental Protection Agency is making $3.5 million in grants available to Puget Sound -area tribes to implement high priority environmental projects that benefit the Sound.
***

In science:

At the experimental level this means that in High-Tc superconductor exists the nonlinear sound waves.
A String Approximation for Cooper Pair in High-T$_{\bf c}$ superconductivity
This means that the corresponding sound wave is a nonlinear wave.
A String Approximation for Cooper Pair in High-T$_{\bf c}$ superconductivity
It will be shown below that the values of normal sound velocity at temperatures higher than those of second order phase transition -point) are lower than the most probable thermal velocities of the atoms of these liquids.
Hierarchic Models of Turbulence, Superfluidity and Superconductivity
Felleisen. A syntactic approach to type soundness.
From Syntactic Theories to Interpreters: A Specification Language and Its Compilation
F, and εs = 2mv 2 s, where vs is the sound velocity (see the Table I in Appendix).
Coherent description of electrical and thermal impurity-and-phonon limited transport in simple metals
The coefficient which determines the dimension and the order of the magnitude of the phonon scattering matrix depends on the effective electron mass, m, the volume of the primitive cell, V, its total mass, M, the sound velocity vs, the phonon wave vector cutoff, qD, and the deformation potential constant, E1 .
Coherent description of electrical and thermal impurity-and-phonon limited transport in simple metals
At low momenta Eq. (16) instead gives the phonon dispersion ω = cq, where c = [gn/m]1/2 is the sound velocity.
Helium nanodroplets and trapped Bose-Einstein condensates as prototypes of finite quantum fluids
The velocity of this sound wave has been measured in, finding good agreement with the prediction of Bogoliubov theory.
Helium nanodroplets and trapped Bose-Einstein condensates as prototypes of finite quantum fluids
This is a physically sound approximation in case of weak nonlinear coupling of optical fields.
Quantum, classical and semiclassical analyses of photon statistics in harmonic generation
This type of exactness has its price: a statistically sound solution is achieved only after a very large number of trial steps.
Coil-Globule Transition for Regular, Random and Specially Designed Copolymers: Monte Carlo Simulation and Self-Consistent Field Theory
This sounds definitely better than gamblers ;-).
The temporal calculus of conditional objects and conditional events
So the DOS is Debye-like, but with a very large prefactor, basically unrelated to the speed of sound.
Vibrations in glasses and Euclidean Random Matrix theory
If Z F C is arithmetical ly sound, then Z F C can determine the value of only finitely many bits of ΩU .
Incompleteness, Complexity, Randomness and Beyond
We can effectively construct a universal Chaitin machine US olovay such that Z F C, if arithmetical ly sound, cannot determine any single bit of ΩUS olovay .
Incompleteness, Complexity, Randomness and Beyond
An “equivariant mapping cylinder neighborhood” of a G-invariant subset of M is just what it sounds like: a mapping cylinder structure invariant under the action of G.
Lectures on controlled topology: mapping cylinder neighborhoods
***