函 meaning and stroke order

hán

Correspondence; a case, a box

Strokes8
Pinyinhán
ToneTone 2
Frequency#3,492

How to write 函, stroke by stroke

8 strokes in order. Each box adds the next stroke in red. Write top to bottom and left to right, and finish enclosing strokes last.

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  8. 8

Meaning of 函

Definitions from CC-CEDICT, grouped by pronunciation.

hánsecond tone (rising)
  1. envelope
  2. case
  3. letter
  4. variant of 函[han2]

How 函 is built

Ideographic (compound meaning) character. Letters placed in a container 凵.

Radical: 凵 (container), shared by 8 characters on this site.

How to remember 函

Picture 凵 as an open box, with the 了 shape and little marks inside as letters tucked into it. A box holding letters gives you 函 (hán), a letter or a case.

函 appears mostly in formal or written compounds about letters and correspondence, such as 公函 (gōnghán) and 邀请函 (yāoqǐnghán). It is rarely used alone in speech, where people say 信 (xìn) instead. Example: 我收到了一封邀请函。(Wǒ shōudào le yī fēng yāoqǐnghán.) I received an invitation letter.

Common mistake: Learners often confuse 函 with 涵 (hán, to contain, as in 包涵), which has the water radical 氵 and a different meaning. Also do not write the inner part as a plain 了. The small marks on both sides inside the box are easy to drop.

Common words with 函

Ordered by HSK level, then by how often they appear in everyday Chinese.

WordPinyinMeaningLevel
公函gōnghánofficial letterHSK 7-9
函授hánshòuto teach by correspondenceHSK 7-9
邀请函yāoqǐngháninvitation letter

函 in example sentences

Real sentences from the Tatoeba project, with pinyin and English.

你nǐ给gěi多duō少shǎo人rén发fā了le邀yāo请qǐng函hán?
How many people did you send invitations to?
二èr次cì函hán数shù在zài这zhè里lǐ是shì不bù可kě用yòng的de。
A quadratic function cannot be used here.
三sān角jiǎo函hán数shù满mǎn足zú各gè种zhǒng代dài数shù恒héng等děng式shì。
The trigonometric functions satisfy a wide array of notable algebraic identities.
函hán数shù f 在zài集jí合hé X 上shàng为wèi零líng。
The function f vanishes on the set X.
他tā今jīn晚wǎn将jiāng抵dǐ达dá函hán馆guǎn。
He will reach Hakodate tonight.

Characters that contain 函

Learning 函 makes these easier to recognize and write.

Questions about 函

How many strokes are in 函?

函 is written with 8 strokes. The diagrams on this page number every stroke in the order it is written, with the new stroke shown in red.

What does 函 mean?

函 (hán) means correspondence; a case, a box. A common word with it is 公函 (gōnghán), meaning "official letter".

How do you pronounce 函?

函 is pronounced hán, in the second tone (rising).

What is the radical of 函?

The radical of 函 is 凵, which carries the idea of "container". Dictionaries list 函 under this radical.

What is the traditional form of 函?

The traditional form of 函 is 圅. Traditional characters are used in Taiwan, Hong Kong and Macau; 函 is the simplified form used in mainland China and Singapore.

Is 函 on the HSK exam?

Yes. 函 is part of the HSK 7-9 character list in the HSK 3.0 standard.

What does 函数 mean?

函数 (hánshù) means function in mathematics and programming. It is one of the most common modern words with 函, so you will see it often in school and tech contexts.

Is 函 the same as 信 for a letter?

Both can mean letter, but 信 (xìn) is the everyday word. 函 sounds formal and official, so it fits business letters, invitations, and documents like 公函.

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