พหุพับ
pá-hù-pápMeaning
1NounC2
manifold (mathematics)
A space in mathematics that, near each point, has the same basic structure as a straight line, a flat surface, or a flat space with more dimensions.
Examples
ผิวpĭuผิวpĭu1skin2surface3complexion; skin toneทรงกลมsong glomทรงกลมsong glom1spherical object; ball-like shape2spherical; round (3D)3sphere (geometry)เป็นbpenเป็นbpen1to be (identity/category/state)2to become3[to] know how; be able to (skill)4alive; living5[to] have; suffer from; be in (a condition)พหุพับpá-hù-pápพหุพับpá-hù-pápmanifold (mathematics)สองมิติsŏng mí-dtìสองมิติsŏng mí-dtìtwo-dimensional; flatเพราะpráwเพราะpráw1because2because of; due to3melodious; pleasant-soundingบริเวณbo-rí-waynบริเวณbo-rí-wayn1area; vicinity2around; in the vicinity ofเล็กlékเล็กlék1small; little2young; younger; youngest3minor; slightๆ-รอบrôpรอบrôp1around; surrounding2round; cycle; lap; turn3time slot; session4perimeter; circumference; surrounding area5classifier: rounds; laps; showings6all around; fullyแต่ละdtàe láแต่ละdtàe láeach (item considered separately)จุดjùtจุดjùt1dot; spot; speck2point (location/time)3[to] light; ignite4full stop; period5point (argument/aspect)6decimal point7point (classifier for small dots/points)สามารถsăa-mâatสามารถsăa-mâat1able; capable2talented; competentอธิบายà-tí-baaiอธิบายà-tí-baai[to] explain; clarifyด้วยdûuayด้วยdûuay1with; together with2also; too; as well3by; by means of; using4because of; due to5because; since (formal/literary)6request particle; please; tooพิกัดpí-gàtพิกัดpí-gàt1coordinates (map/math)2quota; prescribed limit3rating; specification (technical)สองsŏngสองsŏng1two; 22secondตัวdtuuaตัวdtuua1body; self; person (colloq.)2classifier: animals, garments, furniture, certain items; people (informal)3character; figureได้dâiได้dâi1okay; sure; agreed2[to] get; obtain; receive3can; [to] be able to; may4[to] manage to; succeed in5actualized-action marker
The surface of a sphere is a two-dimensional manifold because a small neighborhood around each point can be described using two coordinates.
3 more examplesShow less
แม้mɛ́ɛพหุพับpá-hù-pápจะมีjà-miiโครงสร้างkroong-sâangเฉพาะที่chà-pɔ́-tîiเหมือนmʉ̌ʉanปริภูมิยุคลิดbpà-rí-puum-yú-klítแต่dtɛ̀ɛโครงสร้างkroong-sâangโดยรวมdooi-ruuamอาจàatซับซ้อนsáp-sɔ́ɔnจนjonไม่สามารถmâi-sǎa-mâatอธิบายà-tí-baaiด้วยdûuaiระบบrá-bòpพิกัดpí-gàtเพียงpiiangชุดchútเดียวdiiao
Although a manifold locally has the structure of Euclidean space, its overall structure may be too complex to describe with a single coordinate system.
ผิวpĭuทรงกลมsong glomและláeผิวpĭuทอtorรัสrátต่างdtàangเป็นbpenพหุพับpá-hù-pápสองมิติsŏng mí-dtìแต่dtàeการมีgaan meeโครงสร้างkrohng sâangเฉพาะที่chà-pór têeแบบเดียวกันbàep diao ganไม่ได้mâi dâaiหมายความว่าmăai kwaam wâaโครงสร้างkrohng sâangโดยรวมdoi ruuamจะjàเหมือนกันmĕuuan gan
The surfaces of a sphere and a torus are both two-dimensional manifolds, but having the same local structure does not mean that their overall structures are identical.
การกำหนดgaan-gam-nòtโครงสร้างkroong-sâangเชิงอนุพันธ์chəəng-à-nú-panบนbonพหุพับpá-hù-pápต้องdtɔ̂ngอาศัยaa-sǎiระบบrá-bòpพิกัดpí-gàtเฉพาะที่chà-pɔ́-tîiซึ่งsʉ̂ngมีmiiฟังก์ชันfang-chânเปลี่ยนbplìianพิกัดpí-gàtที่tîiเรียบrîiapเพื่อให้pʉ̂ʉa-hâiนิยามní-yaamความเรียบkwaam-rîiapของkɔ̌ɔngฟังก์ชันfang-chânไม่mâiขึ้นอยู่กับkʉ̂n-yùu-gàpการเลือกgaan-lʉ̂ʉakระบบrá-bòpพิกัดpí-gàt
Defining a differentiable structure on a manifold requires local coordinate systems with smooth transition maps, so that the definition of a function's smoothness is independent of the choice of coordinates.
Tones
See how the spelling sets each syllable's tone, step by step.
Why is พหุพับ said พะ-หุ-พับ?
pá-hù-páp
The tone rules below use the spoken syllables.
3 syllables · pick one to see its rule
How the tone is decided
- Consonant classLow class
- Tone markNo tone mark
- Syllable endingDead syllableShort vowelA short vowel with no final consonant, so it is dead.
Low class consonants
คฅฆงชซฌญฑฒณทธนพฟภมยรลวฬฮ
Result
High tone
pá
Starts high and keeps climbing.
Low class + No tone mark + Dead syllable · Short vowel → High
Tone chart
Every class and spelling pattern, with this syllable outlined.
| Mid class | High class | Low class | |
|---|---|---|---|
| No mark + live | Mid | Rising | Mid |
| No mark + dead short | Low | Low | High |
| No mark + dead long | Low | Low | Falling |
| Mai ek | Low | Low | Falling |
| Mai tho | Falling | Falling | High |
| Mai tri | High | — | — |
| Mai chattawa | Rising | — | — |
Word Breakdown
พหุpá-hùพหุpá-hù1many; multiple (prefix/learned element)2plural (grammar, in compounds)many; multiple (prefix/learned element)Part 1
+
พับpápพับpáp1[to] fold; fold up; turn down2folded bolt; folded bundle (of cloth)3[to] call off; cancel (informal)4classifier: folded bolts or bundles of cloth[to] fold; fold up; turn downPart 2
พหุพับpá-hù-pápพหุพับpá-hù-pápmanifold (mathematics)manifold (mathematics)Word