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(bôl) 
n.
v., balled, ball·ing, balls. v.tr.
ball2 (bôl)
n.
n.
- A spherical object or entity: a steel ball.
- A spherical or almost spherical body: a ball of flame.
- Sports.
- Any of various rounded, movable objects used in various athletic activities and games.
- Such an object moving, thrown, hit, or kicked in a particular manner: a low ball; a fair ball.
- A game, especially baseball or basketball, played with such an object.
- A pitched baseball that does not pass through the strike zone and is not swung at by the batter.
- A solid spherical or pointed projectile, such as one shot from a cannon.
- Projectiles of this kind considered as a group.
- A rounded part or protuberance, especially of the body: the ball of the foot.
- balls Vulgar Slang.
- The testicles.
- Courage, especially when reckless.
- Great presumptuousness.
v., balled, ball·ing, balls. v.tr.
- To form into a ball.
- Vulgar Slang. To have sexual intercourse with.
- To become formed into a ball.
- Vulgar Slang. To have sexual intercourse.
ball up
- To confuse; bungle.
on the ball Informal.
- Alert, competent, or efficient: a teacher who is really on the ball.
- Relating to qualities, such as competence, skill, or knowledge, that are necessary for success: a manager who has a lot on the ball; a student who has nothing on the ball.
[Middle English bal, probably from Old English *beall.]
ball2 (bôl)
n.
- A formal gathering for social dancing.
- Informal. An extremely enjoyable time or experience: We had a ball during our vacation.
[French bal, from Old French, from baller, to dance, from Late Latin ballāre, from Greek ballizein.]
ball
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Roget's Thesaurus:
Top
ball
Idioms beginning with ball:
ball and chain
ball of fire
balloon
balloon goes up, the
ballpark figure
See also behind the eight ball; break one's balls; by the balls; carry the ball; crystal ball; drop the ball; eyeball to eyeball; get the ball rolling; have a ball; have one's eye on the ball; have someone by the balls; on the ball; play ball; put in mothballs; snowball's chance in hell; that's how the ball bounces; whole ball of wax.
n.for small arms ammunition, a solid core bullet for use against targets not requiring armor-piercing or incendiary capability.
See the Introduction, Abbreviations and Pronunciation for further details.
Word Tutor:
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ball
IN BRIEF: A round object that is hit or thrown or kicked in games.
I have learned to hit the ball where it lies.
— Unknown from www.zaadz.com.
Tutor's tip: Everyone heard him "bawl" (loud outcry) at the "ball" (formal party with dancing) when his partner stepped on his toe.
LearnThatWord.com is a free vocabulary and spelling program where you only pay for results!
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as in: an object you play with
sign description: Both clawed hands come together in front of the face.
sign description: Both clawed hands come together in front of the face.
Top
Balls can indicate everything from a game or some other form of relaxation to memories from our childhood. Balls can also have metaphorical connotations, such as being "tossed around," "the ball's in your court," "having a ball" (having a good time) and "having balls" (courage). Any of these may be helpful in determining the meaning of this dream. A deeper, more universal symbolism is that circles and balls represent completeness and wholeness.
Saunders Veterinary Dictionary:
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balling
The act of administering a bolus or a ball to horses, swine and ruminants for medicinal purposes and to ruminants for identification.
- b. gun — a device for administering a bolus to an animal. Consists of a short cylinder sufficiently large to contain the average bolus, a hollow stem containing the rod that connects the handle with the plunger in the cylinder, and the handle. The handle needs to be long enough to position the cylinder in the pharynx before the bolus is discharged by pushing the handle. Sophisticated models have a spring-loaded handle. Suitable for use in horses, cattle, sheep, goats and pigs but a mouth speculum is essential in many uncooperative animals, especially pigs.
- b. gun trauma — cellulitis in the pharynx or the cheek opposite the posterior molar teeth caused by too vigorous attempts to push the nozzle of the gun into the pharyngeal orifice.
Random House Word Menu:
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categories related to 'ball'
- Limbs and Extremities - ball: rounded portion at front of bottom of foot, behind the toes
- Firearm Parts, Accessories, and Processes - ball: any of various spherical or conical projectiles or missiles
- Events, Steps, and Dancers - ball: large, formal party featuring social dancing
- Celebrations, Observances, Rites, and Gatherings - ball: large, lavish, usu. formal dance
- General Sports Terminology
- Baseball - ball: baseball, also refers to a pitch outside the strike zone
- Sex Acts - ball: (vb) Vulgar slang. have sexual intercourse
- Shapes - ball: round or spherical shape
See crossword solutions for the clue Wikipedia on Answers.com:
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Ball (mathematics)
N-ball redirects here. For the video game, see N-ball (game).
In mathematics, a ball is the space inside a sphere. It may be a closed ball (including the boundary points) or an open ball (excluding them).
These concepts are defined not only in three-dimensional Euclidean space but also for lower and higher dimensions, and for metric spaces in general. A ball in the Euclidean plane, for example, is the same thing as a disk, the area bounded by a circle.
In mathematical contexts where ball is used, a sphere is usually assumed to be the boundary points only (namely, a spherical surface in three-dimensional space). In other contexts, such as in Euclidean geometry and informal use, sphere sometimes means ball.
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Contents
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Balls in general metric spaces
Let (M,d) be a metric space, namely a set M with a metric (distance function) d. The open (metric) ball of radius r > 0 centered at a point p in M, usually denoted by Br(p) or B(p; r), is defined by
The closed (metric) ball, which may be denoted by Br[p] or B[p; r], is defined by
![B_r[p] \triangleq \{ x \in M \mid d(x,p) \le r \}.](http://wpcontent.answcdn.com/wikipedia/en/math/6/c/0/6c0f4bbbd55282cc517c59124dd55741.png)
Note in particular that a ball (open or closed) always includes p itself, since the definition requires r > 0.
The closure of the open ball Br(p) is usually denoted 
. While it is always the case that 
and ![\overline{ B_r(p) } \subseteq B_r[p]](http://wpcontent.answcdn.com/wikipedia/en/math/0/a/6/0a665ff0f18c380962d1a773366b4a3f.png)
, it is not always the case that ![\overline{ B_r(p) } = B_r[p]](http://wpcontent.answcdn.com/wikipedia/en/math/8/9/1/8916c3cb1a4111964b0d9a25a88250cd.png)
. For example, in a metric space 
with the discrete metric, one has 
and ![B_1[p] = X](http://wpcontent.answcdn.com/wikipedia/en/math/4/e/7/4e7122a12a6dbb6c0f6b692265add2c0.png)
, for any 
.
An (open or closed) unit ball is a ball of radius 1.
A subset of a metric space is bounded if it is contained in some ball. A set is totally bounded if, given any positive radius, it is covered by finitely many balls of that radius.
The open balls of a metric space are a basis for a topological space, whose open sets are all possible unions of open balls. This space is called the topology induced by the metric d.
Balls in normed vector spaces
Any normed vector space V with norm |·| is also a metric space, with the metric d(x, y) = |x − y|. In such spaces, every ball Br(p) is a copy of the unit ball B1(0), scaled by r and translated by p.
Euclidean norm
In particular, if V is n-dimensional Euclidean space with the ordinary (Euclidean) metric, every ball is the interior of an hypersphere (a hyperball). That is a bounded interval when n = 1, the interior of a circle (a disk) when n = 2, and the interior of a sphere when n = 3.
P-norm
In Cartesian space 
with the p-norm Lp, an open ball is the set
For n=2, in particular, the balls of L1 (often called the taxicab or Manhattan metric) are squares with the diagonals parallel to the coordinate axes; those of L∞ (the Chebyshev metric) are squares with the sides parallel to the coordinate axes. For other values of p, the balls are the interiors of Lamé curves (hypoellipses or hyperellipses).
For n = 3, the balls of L1 are octahedra with axis-aligned body diagonals, those of L∞ are cubes with axis-aligned edges, and those of Lp with p > 2 are superellipsoids.
General convex norm
More generally, given any centrally symmetric, bounded, open, and convex subset X of Rn, one can define a norm on Rn where the balls are all translated and uniformly scaled copies of X. Note this theorem does not hold if "open" subset is replaced by "closed" subset, because the origin point qualifies but does not define a norm on Rn.
Topological balls
One may talk about balls in any topological space X, not necessarily induced by a metric. An (open or closed) n-dimensional topological ball of X is any subset of X which is homeomorphic to an (open or closed) Euclidean n-ball. Topological n-balls are important in combinatorial topology, as the building blocks of cell complexes.
Any open topological n-ball is homeomorphic to the Cartesian space Rn and to the open unit n-cube 
. Any closed topological n-ball is homeomorphic to the closed n-cube [0, 1]n.
An n-ball is homeomorphic to an m-ball if and only if n = m. The homeomorphisms between an open n-ball B and Rn can be classified in two classes, that can be identified with the two possible topological orientations of B.
A topological n-ball need not be smooth; if it is smooth, it need not be diffeomorphic to a Euclidean n-ball.
See also
- Ball - ordinary meaning
- Disk (mathematics)
- Neighborhood (mathematics)
- 3-sphere
- n-sphere, or hypersphere
- Alexander horned sphere
- Manifold
References
- D. J. Smith and M. K. Vamanamurthy, "How small is a unit ball?", Mathematics Magazine, 62 (1989) 101–107.
- "Robin conditions on the Euclidean ball", J. S. Dowker [1]
- "Isometries of the space of convex bodies contained in a Euclidean ball", Peter M. Gruber[2]
![[icon]](http://en.wikipedia.org/wiki/File:Wiki_letter_w_cropped.svg){kind=small} |
This section requires expansion. |
This entry is from Wikipedia, the leading user-contributed encyclopedia. It may not have been reviewed by professional editors (see full disclaimer)
Translations:
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Ball
Dansk (Danish)
1.
n. - bold, kugle
v. tr. - forme til kugle
v. intr. - klumpe sammen
idioms:
- a ball and chain fodlænke
- ball and socket kugleled
- ball bearing kugleleje
- ball boy bolddreng
- ball cock svømmerhane
- ball game boldspil
- ball girl boldpige
- ball lightning kuglelyn
- ball printer kuglehovedprinter
- ball race kuglering, kugleskål
- ball up kludre i, blande sammen
- ball valve kugleventil, svømmerventil
- be behind the eight ball være i en dårlig position
- different ball game en helt anden sag
- keep balls in the air holde bolde i luften, have bolde i spil
- new ball game en helt anden sag
- on the ball kvik, med på den, på bolden
- set the ball rolling sætte noget i gang
- the ball is in someone's court det er op til nogen, det er nogens udspil
- the whole ball of wax hele den forkromede plan
2.
n. - bal
idioms:
- have a ball more sig kosteligt, have det sjovt
Nederlands (Dutch)
bal, bol, kogel, pil, worp, pret, balspel, kluwen, prop, vrijen, pret maken, (zich) ballen, (vast) klonteren, samendrommen in de problemen zijn, blut zijn
Français (French)
1.
n. - balle, ballon, bille, boule, (lit, fig) boulet, pelote, peloton, (Culin) boulette, croquette, (Tech) bille de roulement, (Anat) partie antérieure (de la plante du pied), partie charnue (du pouce), globe oculaire, couilles (npl) (vulg), (GB) conneries (npl), courage (npl) (vulg)
v. tr. - mettre en pelote, pelotonner
v. intr. - s'agglomérer
idioms:
- ball and chain boulet
- ball and socket (joint) à rotule
- ball bearing roulement à billes
- ball boy ramasseur de balles (tennis)
- ball cock robinet à flotteur
- ball game jeu de balle/de ballon, (US) match de base-ball
- ball girl (Sport) ramasseuse de balles
- ball lightning globe de feu, éclair en boule, (fig) (être) débordant d'activité
- ball printer imprimante à boules
- ball race (Tech) roulement à billes, bille de roulement
- ball up semer la pagaille
- ball valve valve de ballon
- behind the eight ball être un mystère pour, se demander
- different ball game (être) une autre paire de manches
- keep balls in the air continuer à faire
- new ball game (être) une autre paire de manches
- on the ball (être) à la hauteur de la situation, ouvrir l'¯il (fam)
- set the ball rolling lancer la conversation, débuter quelque chose, démarrer une affaire
- the ball is in someone's court (fig) être à qn de jouer, (fig) la balle est dans le camp de qn
- the whole ball of wax tout le plan/le projet, toute la chose (etc)
2.
n. - bal, (du) bon temps (arg)
idioms:
- have a ball s'amuser comme des fous, se marrer
Deutsch (German)
1.
n. - Kugel, Ball, Knäuel, Bausch
v. - zusammenballen, knüllen
idioms:
- ball and chain Hindernis, Klotz am Bein
- ball and socket Kugelzapfen
- ball bearing Kugellager
- ball boy Balljunge
- ball cock Schwimmerventil
- ball game Ballspiel
- ball girl Ballmädchen
- ball lightning Kugelblitz
- ball printer Balldrucker
- ball race Führungsring
- ball up vermasseln
- ball valve Kugelventil
- behind the eight ball unter großem Druck stehen
- different ball game eine andere Sache
- keep balls in the air etwas in Gang halten
- new ball game eine andere Sache
- on the ball auf Zack sein
- set the ball rolling den Anfang machen
- the ball is in someone's court jetzt ist jmd. am Zug
- the whole ball of wax der ganze Plan
2.
n. - Ball
idioms:
- have a ball sich riesig amüsieren
Ελληνική (Greek)
n. - σφαίρα, μπάλα, τόπι, βλήμα, μπαλιά, μπαλάκι, μπίλια, κουβάρι, χορός, διασκέδαση, ξεφάντωμα, αρχίδι, σαχλαμάρες, κουράγιο
v. - πηδώ (γυναίκα)
idioms:
- a ball and chain σιδερένια μπάλα (δεμένη στο πόδι καταδίκου), ασήκωτο βάρος
- ball and socket σφαιρική άρθρωση
- ball bearing ένσφαιρος τριβέας, ρουλεμάν
- ball boy αγόρι που μαζεύει τα μπαλάκια στο τένις
- ball cock ρουμπινέτο μπίλιας ή πλωτήρα (φλοτέρ)
- ball game παιχνίδι με μπάλα, κατάσταση πραγμάτων
- ball girl κορίτσι που μαζεύει τα μπαλάκια του τένις
- ball lightning αστραπή σαν πύρινη σφαίρα
- ball printer εκτυπωτής με μπαλάκι
- ball race δακτύλιος ρουλεμάν
- ball up κάνω μαντάρα
- ball valve ένσφαιρη βαλβίδα
- be behind the eight ball έχω στριμωχτεί, βρίσκομαι σε δύσκολη θέση
- different ball game άλλου παπά ευαγγέλιο
- have a ball διασκεδάζω φοβερά
- keep balls in the air περί πολλά τυρβάζω, διατηρώ τις ισορροπίες
- new ball game διαφορετική κατάσταση πραγμάτων
- on the ball ξύπνιος, μέσα στα πράγματα
- pick up the ball and run αναλαμβάνω πρωτοβουλία
- set the ball rolling ξεκινώ μια διαδικασία/συζήτηση
- the ball is in someone's court είναι η σειρά του (να κάνει παιχνίδι, να αναλάβει πρωτοβουλία)
- the whole ball of wax όλα τα σχετικά
Italiano (Italian)
palla, globo, sfera, pallottola, ballo, lancio, gomitolo, palla di carta straccia
idioms:
- a ball and chain palla al piede
- a crystal ball sfera di cristallo
- ball and socket articolazione sferica
- ball bearing cuscinetto a sfere
- ball boy raccattapalle
- ball cock valvola a galleggiante
- ball game gioco di palla
- ball girl ragazza raccattapalle
- ball lightning fuoco di Sant'Elmo
- ball up confondersi
- ball valve valvola sferica
- be behind the eight ball esitare, essere di fronte ad un enigma
- fancydress ball ballo in maschera
- have a ball divertirsi da matti
- keep balls in the air non concludere nulla
- masked ball ballo in maschera
- new/different ball game un altro paio di maniche
- on the ball in gamba
- school ball festa di scuola
- set/start the ball rolling mettere in moto
- take/pick up the ball and run prendi la palla al balzo
- the ball is in someone's court ora sta a...
Português (Portuguese)
n. - bola (f), corpo (m) celeste, jogo (m) de bola, projétil (m) (Mil.), novela (f), fardo (m), baile (m), disparate (m) (fig.)
v. - enovelar, arredondar, aglomerar-se
idioms:
- a ball and chain grilhões, impedimento (fig.), esposa (gír.)
- a crystal ball bola (f) de cristal
- ball and socket articulado (Mec.)
- ball bearing rolamento (m) de esferas (Mec.)
- ball boy apanhador de bolas em jogos com tênis
- ball cock válvula (f) com bóia (Mec.)
- ball game partida (f) de beisebol (Esp.)
- ball girl apanhadora de bolas em jogos como tênis
- ball race partida (f)
- ball up confundir
- ball valve válvula (f) de esfera (Mec.)
- be behind the eight ball estar pela bola sete (coloq.)
- fancy dress ball baile (m) à fantasia
- have a ball divertir-se muito
- keep balls in the air não deixar a peteca cair (coloq.)
- masked ball baile (m) de máscaras
- new/different ball game experiência ou coisa muito diferente da anterior
- on the ball atento, competente
- play ball entrar no jogo
- school ball baile da escola
- set/start the ball rolling dar o pontapé inicial (coloq.)
- take/pick up the ball and run pegar a bola e correr
- the ball is in someone's court é a vez de outra pessoa agir
Русский (Russian)
шар, шарик, мяч, бал
idioms:
- a ball and chain кандалы
- a crystal ball хрустальный шар гадалки
- ball and socket шарнирное соединение
- ball bearing шарикоподшипник
- ball boy мальчик подбирающий мячи с теннисной площадки
- ball cock поплавковый кран, шаровой кран
- ball game игра в мяч, матч
- ball girl девочка подбирающая мячи с теннисной площадке
- ball lightning шаровая молния
- ball race гонка с мячом
- ball up заморочить голову, облажаться, завалить
- ball valve шаровой клапан
- be behind the eight ball находиться в трудном положении
- fancy dress ball бал-маскарад
- have a ball веселиться до упаду
- keep balls in the air одновременно иметь несколько дел
- masked ball бал-маскарад
- new/different ball game совсем другое дело
- on the ball сообразительный, толковый
- play ball играть с кем-либо, помогать кому-либо
- school ball школьный бал
- set/start the ball rolling начать какое-либо дело, заговорить
- take/pick up the ball and run пуститься в ход
- the ball is in someone's court ты решай
Español (Spanish)
1.
n. - globo, bola, pelota, esfera, bala, balón, ovillo, madeja, bolita de papel
v. tr. - ovillar, apelotonar
v. intr. - ovillarse, apelotonarse, hacerse un ovillo
idioms:
- ball and chain una pesada bola de metal ajustada al cuerpo por medio de una cadena, bola de hierro y cadena con que se amarraba a los presidiarios
- ball and socket articulación de rótula, articulación universal
- ball bearing cojinete de bolas, rodamiento de bolas
- ball boy recogepelotas
- ball cock llave de bola, grifo de flotador
- ball game partido de béisbol, cualquier juego de pelota, situación
- ball girl recogepelotas
- ball lightning rayo en bola, relámpago en bola
- ball printer impresora de bola
- ball race anilla de metal de un ruleman donde se colocan los cojinetes
- ball up echar a perder, estropear, embrollar
- ball valve válvula de flotador
- behind the eight ball en posición de desventaja, en dificultades, en una situación problemática
- different ball game ahora todo cambia
- keep balls in the air tener que ocuparse de varias cosas simultáneamente
- new ball game ahora todo cambia
- on the ball estar atento, ser espabilado o despierto
- set the ball rolling poner las cosas en marcha
- the ball is in someone's court ahora le toca jugar a él
- the whole ball of wax el total, la totalidad
2.
n. - baile, fiesta social
idioms:
- have a ball divertirse, pasarla bien
Svenska (Swedish)
n. - boll, kula, klot, nystan, bal, dans
v. - forma till en boll
中文（简体）(Chinese (Simplified))
1. 球, 人体的球状部位, 球状体, 眼球, 使成球形, 呈球状
idioms:
- a ball and chain 锁链, 妻子, 拖累
- ball and socket 球窝
- ball bearing 滚珠, 滚球轴承, 球轴承
- ball boy 球僮
- ball cock 浮球阀
- ball game 球赛
- ball girl 女球僮
- ball lightning 球状闪电
- ball printer 球式打印机
- ball race 球式打印机
- ball up 混乱
- ball valve 球阀, 弹子阀
- be behind the eight ball 受挫, 处于不利地位
- different ball game 完全不一样的情况
- keep balls in the air 同时进行好几个事情
- new ball game 完全是一种新情况
- on the ball 机灵, 勤奋, 留心
- set the ball rolling 开始活动
- the ball is in someone's court 敦促某人作出反应采取行动
- the whole ball of wax 所有的东西, 全部情况
2. 舞会, 快乐的时光
idioms:
- have a ball 狂欢
中文（繁體）(Chinese (Traditional))
1.
n. - 球, 人體的球狀部位, 球狀體, 眼球
v. tr. - 使成球形
v. intr. - 呈球狀
idioms:
- a ball and chain 鎖鏈, 妻子, 拖累
- ball and socket 球窩
- ball bearing 滾珠, 滾球軸承, 球軸承
- ball boy 球僮
- ball cock 浮球閥
- ball game 球賽
- ball girl 女球僮
- ball lightning 球狀閃電
- ball printer 球式列表機
- ball race 球式列表機
- ball up 混亂
- ball valve 球閥, 彈子閥
- be behind the eight ball 受挫, 處於不利地位
- different ball game 完全不一樣的情況
- keep balls in the air 同時進行好幾個事情
- new ball game 完全是一種新情況
- on the ball 機靈, 勤奮, 留心
- set the ball rolling 開始活動
- the ball is in someone's court 敦促某人作出反應採取行動
- the whole ball of wax 所有的東西, 全部情況
2.
n. - 舞會, 快樂的時光
idioms:
- have a ball 狂歡
한국어 (Korean)
1.
n. - 공, 탄환, 야구
v. tr. - ~을 둥글게 하다
v. intr. - 덩어리가 되다
idioms:
- a ball and chain 사슬에 쇠뭉치가 달린 족쇄, 구속, 아내
- ball up 뒤범벅을 만들다, 혼란케 하다
- be behind the eight ball 위험한 위치에서
- keep balls in the air 잘 진행시키다
- the ball is in someone's court ~의 책임이다
- the whole ball of wax 전체계획[일]
2.
n. - 무도회, 즐거운 한 때
idioms:
- have a ball 멋진 시간을 갖다
日本語 (Japanese)
n. - 球, ボール, 球状のもの, 投球, 球技, 弾丸, 舞踏会
v. - 球になる, 球の形にする
idioms:
- a ball and chain 束縛するもの
- ball and socket 玉継ぎ
- ball bearing ボールベアリング
- ball boy ボールボーイ
- ball cock 浮玉弁
- ball game 野球の試合, 球技, 野球, 状況
- ball girl ボールガール
- ball lightning 球電
- ball race レース
- ball up 混乱する
- ball valve ボール弁
- have a ball 楽しく過ごす
- new/different ball game 新しい環境
- on the ball 油断がない, 能力がある
- set/start the ball rolling 始める
- take/pick up the ball and run 話を受け継ぐ
- the ball is in someone's court 次は～の番だ
- wrecking ball 建物解体用の鉄球
العربيه (Arabic)
(الاسم) كرة, حفله راقصه (فعل) كور في وضع خاسر
עברית (Hebrew)
n. - כדור, כדור משחק, ביצה (אשך)
v. tr. - עיגל, כידר
v. intr. - התעגל, התכדר
n. - נשף ריקודים
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