If a distinction is drawn, then it is that Yang – Mills theories occur on a flat space-time, whereas Kaluza – Klein treats the more general case of curved spacetime.

If one rows with poor technique, especially rowing with a curved rather than straight back, other injuries may surface, including back pains.

If the relative motion of a pair determines a curved arc of an orbit, or if the relative motion is small compared to the common proper motion of both stars, it may be concluded that the pair is in mutual orbit as a binary star.

If the curvature of a surface of a lens is C and the index of refraction is n, the optical power is φ = ( n − 1 ) C. If both surfaces of the lens are curved, consider their curvatures as positive toward the lens and add them.

If a spacecraft gets close to the Schwarzschild radius of a black hole ( the ultimate gravity well ), space becomes so curved that slingshot orbits require more energy to escape than the energy that could be added by the black hole's motion.

If M is a non-compact complete non-negatively curved n-dimensional Riemannian manifold, then M contains a compact, totally geodesic submanifold S such that M is diffeomorphic to the normal bundle of S ( S is called the soul of M .) In particular, if M has strictly positive curvature everywhere, then it is diffeomorphic to R < sup > n </ sup >.

If a curved surface is developed upon any other surface whatever, the measure of curvature in each point remains unchanged.

If the curved electrode is positive with respect to the flat electrode we say we have a positive corona, if negative we say we have a negative corona.

; Doubling of curved strokes: If ter, der, ture, ther, dher comes in the word the preceding stroke is written double the size ( matter, nature, mother ).

If the air stream strikes a curved " D " shaped lip, there will be slight turbulence created at the voicing mouth.

If the filament is discharging into a fixed object ( like a hand ) on the side of the globe, it will begin to deform into a curved path between the central electrode and the object.

If steps are gradual, then the design will appear to be curved.

If it is curved like a " cowcatcher ", then obstacles may be thrown safely off to one side.

If this forms part of a rotating assembly, the sandwich may be curved.

If, as an alternative, these piles were so arranged as to rise towards the centre, instead of a level a slightly curved surface might be obtained, and the term unequal steps would apply to them.

If Niccolò Zucchi's claim of exploring the idea of a reflecting telescope in 1616 was true, then it would be the earliest known description of the idea of using a curved mirror as an image forming objective, predating Galileo Galilei and Giovanni Francesco Sagredo's discussions of the same idea in the 1620s.

If the simple bracket system was already in use under the Goguryeo kingdom ( 37 BCE – 668 CE )— in palaces in Pyongyang, for instance — a curved version, with brackets placed only on the column heads of the building, was elaborated during the early Koryo dynasty ( 918 – 1392 ).

If there is no matter and no non-gravitational fields present other than the electromagnetic field, this means that we must simultaneously solve the Einstein field equation and the ( curved spacetime, source-free ) Maxwell field equations.

If two leaves are used they have curved edges to create a roughly circular aperture.

If competing in a dog show, some physical characteristics that judges would look for would be a slightly domed skull, long, large ears, large eyes, straight muzzle, well laid-back shoulders, a moderately long back, fox-like feet, and a slightly curved tail.

If the audience stays relatively close to the projector, a curved screen may be used instead without visible distortion in the image geometry.

If we adopt Cartesian coordinates with line element with corresponding wave operator on the flat background, or Minkowski spacetime, so that the line element of the curved spacetime is, then the Ricci scalar of this curved spacetime is just

If we manage to keep track of a Bombus queen after she has left her feeding place, we may discover the snug little hideout which she has fixed up for herself when she woke up from her winter sleep.

If laying ties on a railroad track, which he once did for $1 an hour, paid more than playing right field for the Yankees, Maris would lay ties on a railroad track.

If the originating mail program doesn't add a message ID, a server handling the message later on probably will, since a number of programs ( both clients and servers ) want every message to have one to keep track of them.

If all of these plans will be approved, the 1, 500 kilometres of track may take until 2030 to complete at a cost of around 25 billion dirhams ($ 3. 37 billion ).

If all sectors and their headers are always written in one go, such bleeding is only an issue at the end of the track ( which still must not bleed back into its beginning ), so that only one gap per track is needed.

If it only defines rules and regulations for Internet Assigned Numbers Authority ( IANA ) registries it is less clear ; most of these documents are BCPs, but some are on the standards track.

If a player goes outside the path, they next start where their pencil left the track.

If a skater passes inside the track, he or she is disqualified.

Twain had further hits from the album, including the title track which peaked at No. 14 and three additional No. 1 hits: "( If You're Not in it for Love ) I'm Outta Here!

If a player runs out of army pieces during the game, another color may be used to substitute, or another symbolic token to help keep track of armies.

If kennel owners violate these contract clauses, they stand to lose their track privileges and even their racing licenses.

If the flash controller does not track the total number of reads across the whole storage device and rewrite the surrounding data periodically as a precaution, a read disturb error will likely occur, with data loss as a result.

If there is no video signal to the VCR input, most VCRs will record black video as well as generate a control track while the audio is being recorded.

If you keep track of the constants, the spacing is, so the angular momentum should be an integer multiple of

If a horse is purchased, a track official tags it after the race, and it goes to its new owner.

* If you also work on a Wikipedia in another language, you might want to keep track of new pages there and check for English articles on the same subjects, so you can add a link there from here.

If a CD is read and ripped perfectly to FLAC files, the CUE file allows later burning of an audio CD that is identical in audio data to the original CD, including track order, pregaps, and CD-Text.

If we do not hear from him this year, let us write him a letter ", secure communication systems, emails and mobile telephones can track down and instruct the most reclusive head of mission.

If an athlete is unhappy with track conditions after the " on your marks " command is given, the athlete must raise a hand before the " set " command and provide the Start referee with a reason.

According to Norman, the record company dropped several Christian songs, including " Butterfly ," " If God Is My Father ," " Kulderachna ", and " I Hope I'll See You In Heaven ", in favor of more lightweight love songs like " Fly, Fly, Fly ," the album's opening track ", and " Christmastime ', both previously released as singles.

Melissa Auf der Maur also embarked on a solo career, and released her self-titled debut album in 2004, which also included Erlandson on lead guitar on the track, " Would If I Could.

If the position line shows one to be more than a few miles from the estimated position, one may take more observations to restart the dead-reckoning track.

If the right point is connected, the right wheel's flange will be guided along the rail of that point, and the train will continue along the straight track.