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#18. •¥ § ¡ë¢ ©â¥ à⨪«¨ ¨ ¤à㣨¥ ®¯à¥- ¤¥«¨â¥«¨

‚л §- ¥в¥ ®¡ ав¨ª«пе a/an ¨ the, ®вбгвбв¢гой¨е ¢ агббª®¬ п§л- ª¥. •¥а¢л© ¯а¨-пв® ¯а®¨§¢®¤¨вм ®в one, ¢в®а®© | ®в that. “¤®¡-® бз¨в вм, зв® ¨¬¥¥вбп ¯гбв®© ав¨ª«м (= the zero article ¨«¨ ? article), ª®â®àë© ¯®áâ®ï--® ¨á¯®«ì§ã¥âáï ¢ àãá᪮¬ ï§ëª¥. ‚ -£«¨©áª®¬ ï§ëª¥ ¯ãá⮩ à⨪«ì, ª ª ¯à ¢¨«® (á à¥¤ç ©è¨¬¨ ¨áª«îç¥-¨ï¬¨), -¥ ¬®- ¦¥â áâ®ïâì ¯¥à¥¤ ¯¥à¥ç¨á«¨¬ë¬ áãé¥á⢨⥫ì-ë¬ ¢ ¥¤¨-á⢥--®¬ ç¨- á«¥ (¤«ï [S]-ä®à¬ë áãé¥á⢨⥫ì-®£® ⨯ [C]). ’ ª¨¬ ®¡à §®¬, äà § \Circle Is Squared" ¬®¦¥â ¯®ï¢¨âìáï à §¢¥ «¨èì ¢ £ §¥â-®¬ § £®«®¢ª¥. •ਢ¥¤•¥--®¥ ¯à ¢¨«® -¥ ®§- ç ¥â, çâ® ¢ í⮬ á«ãç ¥ -¥®¡å®¤¨¬® ¯®áâ - ¢¨âì a/an ¨«¨ the. €-£«¨©áª ï £à ¬¬ ⨪ âॡã¥â - «¨ç¨ï ª ª®£®- «¨¡® -¥¯ãá⮣® ®¯à¥¤¥«¨â¥«ï (= determiner, -¥ ¯ãâ âì á ¨§¢¥áâ-ë¬ ¢á¥¬ ¨§ ¬ ⥬ ⨪¨ determinant).

‚ áâàãªâãà-®© £à ¬¬ ⨪¥ -£«¨©áª®£® ï§ëª ª ®¯à¥¤¥«¨â¥«ï¬

®â-®áïâ:

 

articles

a/an, the, ?

possessives

my, his, her, its, our, your, their;

 

Banach's, Newton's, etc.

demonstratives

this, that, these, those

distributives

each, every, either, neither, another, other

relatives

what(ever), which(ever), whose

inde nites

any, some, no

quanti ers

all, both, half, (a) little, (a) few, less, least,

 

a lot of..., enough, much, many, more, most, several

emphasizers

such, suchlike

ordinals

rst, second,...

cardinals

zero, one, two, three,...

ˆ-®£¤ ¯®á«¥¤-¨¥ ®â-®áïâ ª postdeterminers, ¨¬¥ï ¢ ¢¨¤ã, çâ® ®-¨ á«¥¤ãîâ § ®¯à¥¤¥«¨â¥«¥¬. €- «®£¨ç-® ¢ë¤¥«ïîâ ¨ predeterminers, â. ¥. á«®¢ , ®¡ëç-® ¯à¥¤¢ àïî騥 ®¯à¥¤¥«¨â¥«ì:

predeterminers such, suchlike, what, quite, all, both,..., once, double,...; 1/3, 5/6,... (fractions)

postdeterminers rst, second, superlatives, cardinals, ordinals

(Œ¥¦¤ã ¯à®ç¨¬, ordinals should precede cardinals when in use together.)

•¥ § ¡ë¢ ©â¥ à⨪«¨ ¨ ¤à㣨¥ ®¯à¥¤¥«¨â¥«¨

41

ˆ¬¥îâáï ¨ á«®¢ á ¯®£à -¨ç-ë¬ áâ âãᮬ, ¢à®¤¥ next, last, certain, same. ‚ â® ¦¥ ¢à¥¬ï -¥ - ¤® § ¡ë¢ âì, ç⮠ᯨ᮪ ®¯à¥¤¥«¨â¥«¥© -¥ ¯®¤«¥¦¨â à áè¨à¥-¨î ¯® ‚ 襬㠯ந§¢®«ã ¨«¨ £¨¯®â¥§¥. • ¯à¨¬¥à, á«®¢® \somewhat" ¨ ¢®¢á¥ - à¥ç¨¥.

•ਢ¥¤•¥¬ â ¡«¨æã á®ç¥â ¥¬®á⨠¤«ï 㪠§ --ëå ª« áᮢ ®¯à¥¤¥«¨- ⥫¥©:

 

[C]

 

[U]

 

 

 

 

 

[S]

[P]

 

 

 

 

 

a/an

+

 

 

the

+

+

+

?

 

+

+

each, every, either, neither, another,

+

 

 

(exactly, just) one

 

 

 

many, (a) few, several, a number of...

 

+

 

much, (a) little, less, least, a (good) deal of...

 

 

+

more, most, a lot of..., plenty of..., enough

 

+

+

what(ever), which(ever), whose, no, such,

+

+

+

some, any, other

 

 

 

 

 

 

 

Žâ¬¥âìâ¥, çâ® any ¨ some ¯¥à¥¤ [C]+[S] ª¢ «¨ä¨æ¨àãîâ (¨ ¯à®¨§- -®áïâ) ª ª stressed. •¥ § ¡ë¢ ©â¥, ç⮠㤠à¥-¨ï ¢ -£«¨©áª®¬ ï§ëª¥ ¬®£ãâ -¥á⨠á¬ëá«®¢ãî - £à㧪ã.

•®«¥§- ï ¤¥â «ì | ¢ ®¡ë¤¥--®¬ ã§ãᥠmuch ª ª determiner (¨«¨ ª ª pronoun) ¨á¯®«ì§ã¥âáï ¢ negative sentences, ¢ ¯®«®¦¨â¥«ì-ëå «ãç- è¥ ã¯®âॡ«ïâì a lot of..., a good deal of..., etc. (•®«®¦¨â¥«ì-ë¥ ¯à¥¤- «®¦¥-¨ï, ®¤- ª® ¦¥, ¯à¨-¨¬ îâ so much, too much, as much.) ‘«¥¤ã¥â ¯®¤ç¥àª-ãâì, çâ® ¢ - ãç-ëå ¯¥à¥¢®¤ å - §¢ --®¥ ®£à -¨ç¥-¨¥ - much (¨ many) -¥ ¤¥©áâ¢ã¥â. Káâ ⨠᪠§ âì, ¢ ä®à¬ «ì-®¬ ⥪á⥠¯à¨-ïâ® ¨§¡¥£ âì ª¢ -â®à®¢ a lot of..., a good deal of... ¨ ¨¬ ¯®¤®¡-ëå.

42

Russian ! English in Writing. # 18

‚®â ¥é•¥ தá⢥-- ï á¥à¨ï ¯à ¢¨«:

so/as/too/how + adjective +a/an + noun such a/an + adjective + noun quite/rather + a/an + adjective + noun rather + a/an/the + noun

a quite/rather + adjective + noun

•ਠí⮬ -¥ á«¥¤ã¥â ¯¨á âì such a/an + adjective + noun, ª®£¤ ‚ë - á ¬®¬ ¤¥«¥ ¨¬¥¥â¥ ¢ ¢¨¤ã so + adjective + a/an + noun. ‡ ¬¥âì⥠⠪¦¥, çâ® such a/an + noun ¯à¥¤¯®« £ ¥â gradeability.

Œ¥¦¤ã ¯à®ç¨¬, ¯® ¬-¥-¨î •. • âਤ¦ \quite does not | in good English | means `rather'; its two standard senses being (i) `completely, wholly, entirely, to the fullest extent'... (ii) `actually, truly, positively'...."

Žâ¬¥â¨¬ §¤¥áì ¦¥ ¯®«¥§-ãî â ¡«¨æã úáâ㯥-¥© à®áâ ª®«¨ç¥á⢠û:

[C]

[U]

 

 

all/every

all

most

most

many/far more

much more

many (more)

much (more)

a lot of ...

a lot of ...

some

some

several

 

quite a few

quite a little

a few

a little

few

little

no

no

 

 

Grades of quantity.

•¥ § ¡ë¢ ©â¥ à⨪«¨ ¨ ¤à㣨¥ ®¯à¥¤¥«¨â¥«¨

43

ˆ§ á«¥¤ãî饩 â ¡«¨æë ¢¨¤-®, ª ª 㯮âॡ«ïâì predeterminer ⨯ all, both, half:

 

 

 

 

 

 

 

 

 

[C]

 

 

 

 

 

 

 

 

 

[U]

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

,!

 

an, the, my,

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

half

 

angle

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

this, that

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

,!

the, my

 

 

 

 

[S]

 

 

 

 

 

 

 

 

 

 

 

 

 

 

half

research

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

this, that

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

,!

the, my,

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

all

side

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

this, that

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

,!

 

the, my,

 

angles

 

 

 

 

 

 

 

 

 

 

 

 

half

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

these, those

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

,!

the, my,

 

 

 

[P]

 

 

 

 

 

 

 

 

 

 

 

 

 

 

all

 

progress

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

?, this, that

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

all

 

,!

the, my,

 

 

 

sides

 

 

 

 

 

 

 

 

 

 

both

 

 

 

 

 

?, these, those

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

Žâ¬¥âì⥠¤«ï ᥡï â ª¦¥ ª®-áâàãªæ¨¨ ⨯ all of us, each of them,

one of you, etc. ‚ á®ç¥â -¨ïå ¯®¤®¡-®£® த

á áãé¥á⢨⥫ì-묨 ®¡ï-

§ в¥«¥- -¥¯гбв®© ®¯а¥¤¥«¨в¥«м some of the integrals, any of Banach's theorems, most of the di culties, etc. Žвбгвбв¢¨¥ ®¯а¥¤¥«¨в¥«п, ¢®®¡- й¥ £®¢®ап, г-¨з⮦ ¥в of. …й•¥ ¤¥в «м | ¯®¬-¨в¥ ¢ а¨ -вл \all the space" ¨ \the whole space."

•®«ì§ã©â¥áì â ¡«¨çª®©:

one some any

 

each many most

 

none all several

 

the rst

+ of + the ...

the last

 

all but one

 

the rest

 

the majority

 

 

 

44 Russian ! English in Writing. # 18

Ž¡а в¨в¥ ¢-¨¬ -¨¥, зв® a/an ¨б¯®«м§г¥вбп ¯¥а¥¤ one в®«мª® ¥б«¨ ¯¥а¥¤ ¯®б«¥¤-¨¬ б«®¢®¬ ¯а¨бгвбв¢г¥в ¯а¨« £ в¥«м-®¥ (в. ¥. an interesting/good one | нв® ¢¥а-®, -® a one appeared above | б®«¥ж¨§¬). •® б宦¨¬ ¯а¨з¨- ¬ ª®-бвагªж¨п the one of ... в ª¦¥ -¥¢®§¬®¦- .

•¥à¥¢®¤ç¨ªã - ãç-ëå ⥪á⮢, ¨ ®á®¡¥--® ¬ ⥬ ⨪ã, ¯à¨ à á- áâ -®¢ª¥ ®¯à¥¤¥«¨â¥«¥©, ¨ ¯à¥¦¤¥ ¢á¥£® à⨪«¥©, ¯®«¥§-® à㪮¢®¤- á⢮¢ âìáï ¨å ¡ãª¢ «ì-ë¬ á¬ëá«®¬. ‚ ç áâ-®áâ¨, \ /an" á⮨â à á- ᬠâਢ âì ª ª ú-¥ª®â®àë©û, \the" | ª ª ú¢¯®«-¥ ®¯à¥¤¥«•¥--ë© (íâ®â)û. ‚ë ¯®¬-¨â¥, çâ® -¥®¯à¥¤¥«•¥--ë© à⨪«ì í⨬®«®£¨ á¢ï§ë- ¢ îâ á -£«®-á ªá®-᪨¬ an | c one.)

’ ª¨¬ ®¡à §®¬,

\Given a vector space X and a subspace X0 of X, arrange the factor space X=X0."

Žâ¬¥â¨¬ §¤¥áì ¦¥, çâ® ¢ ª ç¥á⢥ a substitute word \One can only replace a countable noun." (M. Swan, Practical English Usage)

•¨ª®£¤ -¥ áâ ¢ì⥠a/an ¨«¨ the ¯à¨ - «¨ç¨¨ own. ‘«®¢® own ç áâ® ®â-®áïâ ª postdeterminers. •¥à¥¤ -¨¬ ¢á¥£¤ ¤®«¦¥- ¡ëâì ®¤¨- ¨§ possessives.

•¥ § ¡ë¢ ©â¥ ® -¥®¡å®¤¨¬®¬ ¡« £®§¢ã稨 (euphony) ¯à¨ ¢ë¡®à¥ ¬¥¦¤ã a ¨ an ¢ á«ãç ¥ á¯¥æ¨ «ì-ëå â¥à¬¨-®¢. ’ ª, ‚ ¬ -ã¦-® ¯¨á âì an f-algebra, a U -boat, an R-linear map, an ANR-space, etc. Žâ¬¥âì- â¥, çâ® ã ᮪à é¥-¨© ¢á¥£¤ ¤®«¦¥- ¡ëâì -¥¯ãá⮩ ®¯à¥¤¥«¨â¥«ì, § ¨áª«îç¥-¨¥¬ ªà®-¨¬®¢ (⨯ UNESCO, NATO).

‘«¥¤ã¥â §- âì -¥®¡å®¤¨¬®¥ ¨ ¢ ¦-®¥ ¯à ¢¨«®, á¢ï§ --®¥ á ª¢ -â®- ஬ áãé¥á⢮¢ -¨ï. Š¢ -â®à (9x)'(x) ¯®¤à®¡-® ç¨â ¥âáï there exists an element x such that '(x) holds. ”®à¬ã« (9x)(9y)'(x; y) ¯®«-®áâìî ç¨â ¥âáï â ª: there exist elements x and y such that '(x; y) holds. Š®- -¥ç-®, ¢ ®¡ëç-®¬ ⥪á⥠(¨ à¥ç¨) ¬-®£®¥ §¤¥áì ®¯ã᪠¥âáï. ޤ- ª® -¥ á⮨⠧ ¡ë¢ âì, çâ® ¢ íª§¨áâ¥-æ¨ «ì-ëå ª®-áâàãªæ¨ïå § ®¡®à®â®¬ (there is ..., there appear ..., etc.) ¯® -®à¬¥ ¨á¯®«ì§ã¥âáï -¥®¯à¥¤¥«•¥--®¥ áãé¥á⢨⥫ì-®¥. €à⨪«ì the §¤¥áì § ¯à¥é•¥-! •à ¢¨«® ¢¥áì¬ áâà®- £®¥. ’ ª, (9!x)'(x) ¢ëà ¦ îâ á«®¢ ¬¨ there exists a unique x such that '(x). ‚¯à®ç¥¬, ᥪà¥âë ®¡®à®â®¢ there is/there are á⮫ì áãé¥á⢥-- -ë, çâ® ¨¬ ¡ã¤¥â 㤥«•¥- á ¬®áâ®ï⥫ì-ë© ¯ã-ªâ. Žâ¬¥âì⥠§¤¥áì ¦¥, çâ® such ¢®®¡é¥ -¥ ¨á¯®«ì§ãîâ, ¥á«¨ ã áãé¥á⢨⥫ì-®£® ¯®áâ ¢«¥- ®¯à¥¤¥«•¥--ë© à⨪«ì ¨«¨ ®¤¨- ¨§ demonstratives ¨«¨ possessives.

‚ ¦-ë© ¢®¯à®á | ¯à¨¬¥-¥-¨¥ ®¯à¥¤¥«¨â¥«¥© ¯à¨ áá뫪 å - -ã- ¬¥à®¢ --ë¥ ¨«¨ ¨¬¥-®¢ --ë¥ «¥¬¬ë, ¯à¥¤«®¦¥-¨ï ¨ â. ¯. ‚¥à-ãî

•¥ § ¡ë¢ ©â¥ à⨪«¨ ¨ ¤à㣨¥ ®¯à¥¤¥«¨â¥«¨

45

áâà ⥣¨î «¥£ª® ¯®-ïâì - á«¥¤ãî饬 ¯à¨¬¥à¥.

…᫨ ‚ë áä®à¬ã«¨-

஢ «¨ ⥮६ã 3.5 ¨, - ª®-¥æ, ¯®á«¥ ¯à¥¤¢ à¨â¥«ì-ëå à áá㦤¥-¨© ¯¥à¥å®¤¨â¥ ª ¥•¥ ¤®ª § ⥫ìáâ¢ã, â® ¯¥à¥¤ ‚ ¬¨ ®âªàë¢ îâáï ¤¢¥ ¢®§- ¬®¦-®áâ¨. ‚ë (á ¨§¢¥áâ-®© ¨, ¢ ®¡é¥¬, -¥¤®¯ãá⨬®© ¨£à¨¢®áâìî) ¬®¦¥â¥ ᪠§ âì:

\The time has come to prove the theorem." ˆ«¨ ¦¥ ¡®«¥¥ ª ¤¥¬¨ç-®:

\We now prove Theorem 3.5."

Ž¡¥ ª®-áâàãªæ¨¨ £à ¬¬ â¨ç¥áª¨ ª®à४â-ë. ‚ ¯¥à¢®¬ á«ãç ¥ 㪠§ -¨¥ - à áᬠâਢ ¥¬ãî ⥮६㠤 ¥•â ®¯à¥¤¥«•¥--ë© à⨪«ì the. ‚® ¢â®- ஬ ¢ ਠ-⥠Theorem 3.5 ï¥âáï ¨¬¥-¥¬ ᮡá⢥--ë¬ (proper noun), ¯®¤à §ã¬¥¢ î騬 ®¤-®§- ç-ãî ®âá뫪㠪 ⥮६¥ 3.5. •ਠí⮬ à- ⨪«ì -¥ã¬¥áâ¥-.

…é•¥ ®¤- ¯®«¥§- ï â®-ª®áâì ¢ 㯮âॡ«¥-¨¨ à⨪«ï. •à ¢¨«ì-® ¯¨á âì: \the Sobolev Embedding Theorem" ¨«¨ ¦¥ \Sobolev's Embedding Theorem." Ž¡ê¥¤¨-¥-¨¥ íâ¨å ¤¢ãå ª®-áâàãªæ¨© ã§ãᮬ (¨ «¨-- £¢¨áâ ¬¨) -¥ ®¤®¡àï¥âáï. ‚¯à®ç¥¬, ¢ ਠ-â the famous Sobolev's Theorem ¢¯®«-¥ -®à¬ «¥-. Ž¡à â¨â¥ ¢-¨¬ -¨¥, çâ® âॡãîâ ®¯à¥¤¥«¨â¥«ï ¢ ਠ-âë á ¯à¨âï¦ â¥«ì-ë¬ ¯ ¤¥¦®¬, -¥ á¢ï§ --ë¥ á ᮡá⢥--묨 ¨¬¥- ¬¨ ⨯ \the author's theorem."

Žâ¬¥âì⥠⠪¦¥, çâ® ¥áâì ¢ªãá®¢ë¥ (¨«¨ ª®à¯®à ⨢-ë¥) ¤¥â «¨: - ¯à¨¬¥à, ¢ â¥å-¨ç¥áª®© «¨â¥à âãॠ¯à¨-ïâ® ¯¨á âì Eq. (5) ¨«¨ Equation (5) (á ¡®«ì让 ¡ãª¢ë), ¢ ¬ ⥬ â¨ç¥áª®© ¯¥à¨®¤¨ª¥ í⮠ᮣ« - è¥-¨¥ -¥ ¤¥©áâ¢ã¥â: ¢ -¥© ¯¨èãâ « ¯¨¤ à-® | (5).

‚®®¡é¥ £®¢®àï, ¥áâì ¯à ¢¨«® \normally one determiner is enough for a noun phrase." ‘ª ¦¥¬, ¢ ¢®¯à®á¨â¥«ì-ëå ¯à¥¤«®¦¥-¨ïå ⨯ I wonder what function acts here, áâ ¢¨âì à⨪«ì ¬¥¦¤ã what ¨ function § ¯à¥é¥-® (determiner 㦥 ¥áâì). •â® -¥ ®â¬¥â ¥â ¢®§¬®¦-®á⨠\what Green's function...." …é•¥ ®¤-® ¨áª«îç¥-¨¥ | ¯¥à¥¤ every (¢ ª ç¥á⢥ ®¯à¥¤¥«¨â¥«ï) ¬®¦¥â áâ®ïâì possessive. „«ï each ¢®§¬®¦¥- «¨èì ¢ à¨- -â each of my books ... (•ਠí⮬ my every book = each of my books. Šà®¬¥ ⮣®, ¢ ਠ-â á every of ... | í⮠᮫¥æ¨§¬.)

‚ á¢ï§¨ á ⥪ã騬 ®¡á㦤¥-¨¥¬ Genitive Case (¯à¨âï¦ â¥«ì-®- £® ¯ ¤¥¦ ) ®â¬¥âì⥠¯®«¥§-ë¥ ¤¥â «¨: Hahn{Banach's Theorem | íâ® -¥¢®§¬®¦-®¥ ®¡à §®¢ -¨¥ (祫®¢¥ª á ä ¬¨«¨¥© • -{• - å -¥ ¡ë«®). ‚ â® ¦¥ ¢à¥¬ï the Kre n Brothers' Theorem | ª®à४â-ë© ¢ ਠ-â. Ž¡®à®âë ⨯ Biot and Savart's law ¨ Hahn and Banach's Theorem áâ®«ì ¦¥ ã§ã «ì-ë. “ïá-¨â¥ â ª¦¥, çâ® å®âï ¢®§¬®¦-ë ®¡ ¢ëà ¦¥-¨ï the

46 Russian ! English in Writing. # 18

Minkowski inequality ¨ the Minkowski functional, ¤®¯ãá⨬ «¨èì ¢ à¨- -â: Minkowski's inequality (¯¨á âì Minkowski's functional -¥ á«¥¤ã¥â | ª «¨¡à®¢®ç- ï äã-ªæ¨ï -®á¨â ¨¬ï Œ¨-ª®¢áª®£®, -¥ ¯à¨- ¤«¥¦¨â Œ¨-ª®¢áª®¬ã, ¨ íâ®â ®ââ¥-®ª áãé¥á⢥-).

•ਬ¥-¥-¨¥ à⨪«¥© ¨¬¥¥â ¡®«ì讥 ª®«¨ç¥á⢮ ¤¥â «¥© ¨ â®-ª®- á⥩. „«ï ‚ 襣® ᢥ¤¥-¨ï áä®à¬ã«¨à㥬 -¥ª®â®àë¥ ¨§ -¨å, ®á®¡¥--® ¯®«¥§-ë¥ ‚ ¬ ¤«ï í¯¨§®¤¨ç¥áª¨å ¯¥à¥¢®¤®¢.

Ž¡à â¨â¥ ¢-¨¬ -¨¥, çâ® ¢ - ãç-ëå ⥪áâ å ¯®á«¥ £« £®«®¢ ú- ãç- -®£®û àï¤ (undergo, involve, maintain, present, e ect, etc.) áãé¥á⢨- ⥫ì-ë¥ ú- ãç-®£®û àï¤ (parametrization, dimension, conclusion, stability, etc.) ç á⮠㯮âॡ«ïîâ á zero article. ’ ª¦¥ -¥ áâ ¢ïâ -¥®¯à¥- ¤¥«•¥--ë© à⨪«ì ¯¥à¥¤ ú®â£« £®«ì-묨û áãé¥á⢨⥫ì-묨, ®§- - ç î騬¨ ¤¥©á⢨ï: process, advice, guidance, progress, research, information, resistance, activity, permission, admission, work, concern, value, etc. „¥â «¨ ã§ãá ‚ ¬ á«¥¤ã¥â ᢥàïâì á ®¡à §æ®¬.

€à⨪«¨ ¯à¨ ¯¥à¥ç¨á«¥-¨¨ ®¡ëç-® -¥ ¯®¢â®àïîâ: à⨪«ì (ç é¥ the) ¯¥à¥¤ ª ¦¤ë¬ á«®¢®¬ ᯨ᪠ᮧ¤ •¥â ï¢-ë© í¬ä â¨ç¥áª¨© ®ââ¥- -®ª.

Žá®¡¥--®áâì the ¢ ⮬, çâ® ¥£® ¯®áâ -®¢ª ¯¥à¥¤ ¯à¨« £ ⥫ì-ë¬ ¯à¥¢à é ¥â ¯®á«¥¤-¥¥ ¢ áãé¥á⢨⥫ì-®¥, â. ¥. the ᯮᮡ¥- ª த®- ®¡à §®¢ -¨î. (•à ¢¤ , ¢®§-¨ª î饥 áãé¥á⢨⥫ì-®¥ -¥¯®«-®æ¥--® | -¥ ¤®¯ã᪠¥â Genitive Case, ¬-®¦¥á⢥--®£® ç¨á« , ᪫®-ï¥âáï ª ª they ¨ â. ¯.)

• ¤•¥¦-®¥ ®áâ®à®¦-®¥ ¯à ¢¨«® á®á⮨⠢ ⮬, çâ®¡ë ¯¥à¥¤ same, ¯¥à¥¤ ®à¤¨- « ¬¨ ¨ ¯¥à¥¤ ¯à¨« £ ⥫ì-묨 ¢ ¯à¥¢®á室-®© á⥯¥-¨ ¢á¥£¤ áâ ¢¨âì ®¯à¥¤¥«•¥--ë© à⨪«ì. •â® ‚ ¬ -¨ª®£¤ -¥ ¯®¢à¥¤¨â.

‡ ¯à¥â¨â¥«ì-ë¥ § ª®-ë, à §ã¬¥¥âáï, -ã¦-® §- âì £®à §¤® ⢕¥à¦¥, 祬 úà §à¥è¨â¥«ì-ë¥û | ¨áª«îç¥-¨ï. •¥ ¨á¯®«ì§®¢ âì ª ¦¤ë© à § ᢮¨ ⥮à¥â¨ç¥áª¨¥ ¯à ¢ -¥ áâ®«ì ¯à¥¤®á㤨⥫ì-®, ª ª ¤¥©á⢮¢ âì ¢®¯à¥ª¨ § ¯à¥â ¬. Œ¥¦¤ã ⥬ -£«¨©áª¨© ï§ëª, ª ª ¨ «î¡®¥ ॠ«ì-®¥ á।á⢮ ®¡é¥-¨ï, ®âªàë¢ ¥â è¨à®ç ©è¨¥ ¯à®áâ®àë ¤«ï ᢮¡®¤-®£® á ¬®¢ëà ¦¥-¨ï. ‚®â ¤¢ ®â-®áïé¨åáï ª í⮬ã 㪠§ -¨ï ¨§ £à ¬¬ ⨪¨ R. Quirk et al.:

\Virtually all non-count nouns can be treated as count nouns when used in classi catory senses."

\Count nouns can be used as non-count in a generic sense." („¥ä¨á ¢ á«®¢¥ non-count ¢ë¤ •¥â ¢ •. Š¢•¥àª¥ -£«¨ç -¨- .)

• §¢ --л¥ ¢®§¬®¦-®бв¨ з бв® ¨б¯®«м§говбп. ’ ª, ¯®б«¥¤-¨© ¯а¨-

•¥¬ ⨯¨ç¥- ¯à¨ ¯®áâ஥-¨¨ ¯®-ï⨩: the temperature of base of rod; the

•¥ § ¡ë¢ ©â¥ à⨪«¨ ¨ ¤à㣨¥ ®¯à¥¤¥«¨â¥«¨

47

area of cross section; a eld of characteristic zero; an operator of nite rank, etc.

‚®®¡é¥ ¢ -£«¨©áª®¬ ï§ëª¥ § 䨪á¨à®¢ - â¥-¤¥-æ¨ï ¨á¯®«ì§®- ¢ âì áãé¥á⢨⥫ì-ë¥ (®¡ëç-® ⨯ [U]) ¢ âਡã⨢-ëå ¨ - à¥ç-ëå ¯à¥¤«®¦-ëå ®¡®à®â å (in attributive and adverbial prepositional phrases) ¡¥§ à⨪«ï. •ਠí⮬ â ª ï â¥-¤¥-æ¨ï á⮫ì ᨫì- , çâ® à⨪«ì ç áâ® -¥ áâ ¢ïâ ¤ ¦¥ ¯¥à¥¤ [C]-nouns, ®áãé¥á⢫ïî騬¨ ⥠¦¥ äã-ª- 樨 (- ¯à¨¬¥à, a question of principle, a statement of fact, the de nition of powerset, without apparent reason, in suitable fashion, with e ort, by induction, in di erential form). ‚ íâ® ¦¥ ¢à¥¬ï á⮨⠯®¤ç¥àª-ãâì, çâ® ¨ ¯®ï¢«¥-¨¥ -¥®¯à¥¤¥«•¥--®£® à⨪«ï ¢ ¯®¤®¡-ëå á«ãç ïå ¯à¨ [C]-noun ï¥âáï ¡¥áᯮà-®© -®à¬®© ¢ ¯®¤ ¢«ïî饬 ¡®«ìè¨-á⢥ á«ãç ¥¢.

‚ í⮩ á¢ï§¨ ®â¬¥âìâ¥, çâ® ¨á¯®«ì§ã¥¬ë¥ ¢ ᮢ६¥--ëå -£«¨©- ᪨å - ãç-ëå ⥪áâ å ®¡®§- ç¥-¨ï ¨¬¥îâ ᪫®--®áâì ¢ëáâ㯠âì ¢ ª - ç¥á⢥ ᮡá⢥--ëå ¨¬•¥-.

€ªªãà â- ï áâà ⥣¨ï á«®¢®ã¯®âॡ«¥-¨ï ¯à¥¤¯®« £ ¥â, çâ® £¤¥- â® ¢- ç «¥ ‚ë - ¯¨á «¨ \Let us consider a triangle ABC" (¨¬¥¥âáï ¢ ¢¨¤ã a triangle, say, ABC) ¨«¨ \Denote this n n-matrix by B" ¨ â. ¯. •®- á«¥ í⮣® ®¡ëç-® ¨á¯®«ì§ãîâ ¢ëà ¦¥-¨ï \the area of ABC", \the norm of B", etc. ˆ¬¥--® â ª®© ¤¥¬®ªà â¨ç¥áª¨©, « ¯¨¤ à-ë© áâ¨«ì ¯à¨-¨¬ - ¥â ¡®«ìè¨-á⢮ å®à®è¨å ¢â®à®¢ | ®-¨ ᪫®--ë ¨á¯®«ì§®¢ âì ¨¬¥- (á ¯ãáâë¬ à⨪«¥¬). •⮬㠮¡à §æã ‚ ¬, ¯® à §¬ëè«¥-¨î, 楫¥á®- ®¡à §-® ¯®á«¥¤®¢ âì. •®«-®âë à ¤¨ ®¡à â¨â¥ ¢-¨¬ -¨¥, çâ® äà §ë ¢à®¤¥ \the f; a B and an F ; for all x's", ¨áª«îç î騥 ¢§£«ï¤ - ®¡®§- - ç¥-¨ï ª ª - ¨¬¥- , â ª¦¥ ¢¥áì¬ ¨ ¢¥áì¬ -¥à¥¤ª¨. ‚ ਠ-âë \the function B, a matrix A, for all values of x" ¥áâ¥á⢥--¥¥ ¨, ¢® ¢á类¬ á«ãç ¥, ¢¯®«-¥ ª®à४â-ë. ‚®§¬®¦-®, ¨å ‚ë ¨ ¯à¥¤¯®ç╥⥠¤«ï ᥡï.

‡¤¥áì ¦¥ ¯®«¥§-® ¯®¤ç¥àª-ãâì, çâ® ¯à¨ «î¡®© «¨-¨¨ ¯®¢¥¤¥-¨ï ‚ ¬ ¤®«¦-® ®¡¥á¯¥ç¨¢ âì à §ã¬-ãî á¡ « -á¨à®¢ --®áâì ®¯à¥¤¥«¥-¨©. ‚®â ®¡à §ç¨ª¨:

A function f satisfying (3.2) is called a test function. The operator T # of Lemma 1 is the descent of T .

„«ï § ªà¥¯«¥-¨ï ‚ è¨å - ¢ëª®¢ ¯à¨¢¥¤•¥¬ ¤¢ ä®à¬ «ì-ëå ¨«- «îáâà ⨢-ëå úá㯥ନ-¨ªãàá û à ááâ -®¢ª¨ ®¯à¥¤¥«¨â¥«¥©. •¥à¢ë© ®âà ¦ ¥â ⥮à¥â¨ç¥áªãî ¢®§¬®¦-®áâì ¯®áâ஥-¨ï £à ¬¬ â¨ç¥áª¨ ¢¥à- -®£® ⥪áâ , ¨á¯®«ì§ãî饣® ¢ ª ç¥á⢥ ®¯à¥¤¥«¨â¥«¥© ¤«ï áãé¥á⢨- ⥫ì-ëå ⮫쪮 à⨪«¨.

48

Russian ! English in Writing. # 18

SUPERMINICOURSE I

For Friends of Articles

Employ only unmodi ed common nouns.

Always use one (and only one) of the articles: a, the, ?. Never leave a singular countable noun with the ? article.

Never put \the" before plural or countable nouns in writing about generalities.

There are no other rules.

‚®§¬®¦¥- ¨ ¢ ਠ-â, ¯à¨ ª®â®à®¬ à⨪«¥© -¥â ¢®¢á¥.

SUPERMINICOURSE II

For Enemies of Articles

Employ only common nouns.

Never use any of the articles: a, the, ?.

Never leave a noun phrase without a unique determiner. Your determiners are possessives and demonstratives. There are no other rules.

•।®áâ¥à¥¦¥-¨¥: ‚ë¡à ¢ ®¤¨- ¨§ ¯à¥¤«®¦¥--ëå (¨§ á®®¡à ¦¥- -¨© ¡¥§®¯ á-®á⨠| ¯®- -£«¨©áª¨) á㯥ନ-¨ªãàᮢ ¢ ª ç¥á⢥ ¯à ª- â¨ç¥áª®£® à㪮¢®¤á⢠(çâ® ¢®§¬®¦-® ⮫쪮 ¢ ¯ பᨧ¬¥ «¥-¨), ®£à - -¨ç¨¢ ©â¥ ‚ è¨ ¯¥à¥¢®¤ë ¨áª«îç¨â¥«ì-® ⥧¨á ¬¨ ᮡá⢥--ëå ¤®- ª« ¤®¢ - -¥¯à¥á⨦-ëå ª®-ä¥à¥-æ¨ïå.

•®«¥¥ £«ã¡®ª¨© - «¨§ ®á®¡¥--®á⥩ ¨á¯®«ì§®¢ -¨ï à⨪«¥© á¢ï- § - á ¢ëïá-¥-¨¥¬ ¨å äã-ªæ¨©. •¥ ¢¤ ¢ ïáì ¢® ¢á¥ ¤¥â «¨, ®â¬¥â¨¬, çâ®, - 室ïáì à冷¬ á áãé¥á⢨⥫ì-ë¬ â¨¯ [C] + [S], -¥®¯à¥¤¥«•¥--ë©

•¥ § ¡ë¢ ©â¥ à⨪«¨ ¨ ¤à㣨¥ ®¯à¥¤¥«¨â¥«¨

49

à⨪«ì ¨á¯®«-ï¥â nominating function, ¯à¨ à ᯮ«®¦¥-¨¨ ¯¥à¥¤ áã-

é¥á⢨⥫ì-ë¬ à §àï¤ á [U] | aspective function. Ž¯à¥¤¥«•¥--ë©

à-

⨪«ì ®¡« ¤ ¥â ¨-¤¨¢¨¤ã «¨§¨àãî饩, ®£à -¨ç¨¢ î饩 ¨ ®¡®¡é î- 饩 (individualizing, restrictive and generic) äã-ªæ¨ï¬¨. The zero article ¨¬¥¥â ⮫쪮 nominating function.

•®«¥§-® ®â¬¥â¨âì, çâ® ¢ -¥ª®â®àëå á«ãç ïå [U]-noun ®¡ï§ ⥫ì-® ¯®ï¢«ï¥âáï á -¥®¯à¥¤¥«•¥--ë¬ à⨪«¥¬. ’ ª ¡ë¢ ¥â ¢ á«ãç ïå, ª®£¤ [U]-noun ¯à¥¬®¤¨ä¨æ¨à®¢ -® (â. ¥. ¬®¤¨ä¨æ¨à®¢ -® ¯®áâ ¢«¥--묨 ¯¥à¥¤ -¨¬ á«®¢ ¬¨) certain ¨«¨ particular ¨«¨ ª®£¤ íâ® áãé¥á⢨⥫ì- -®¥ ®¡ëç-® ¢ ¯à¥¤«®¦-ëå ®¡®à®â å (â®ç-¥¥, in attributive and adverbial prepositional phrases) ¯®á⬮¤¨ä¨æ¨à®¢ -® ¯à¨¤ â®ç-ë¬ ¯à¥¤«®¦¥-¨- ¥¬ (á ¯®¬®éìî ¯®á«¥¤ãî饩 § ¯¨á¨ clause). ˆ¬¥îâáï ¨ ¤à㣨¥ ¤¥â «¨ ¨á¯®«ì§®¢ -¨ï à⨪«¥©, ®¯à¥¤¥«•¥--ë¥ âà ¤¨æ¨ï¬¨ ã§ãá .

‚®®¡é¥ £®¢®àï, ¯®á⬮¤¨ä¨ª æ¨ï á¢ï§ - á ¨á¯®«ì§®¢ -¨¥¬ the ¯¥- । [C]-noun (¢ ®¡ï§ ⥫ì-®¬ ¯®à浪¥) ¨ á ¯®áâ -®¢ª®© a/an ¤«ï [U]- noun (ª ª £®¢®à¨âáï, if any). Ž¡ëç-ë¥ ¢ ਠ-âë: the operators de-ned by (5.2); according to a knowledge that stems from the earlier considerations. Žç¥-ì âॡ®¢ ⥫ì- ¯®á⬮¤¨ä¨ª æ¨ï á of-äà §®©, ª®- â®à ï ç é¥ ¢á¥£® ¢«¥ç•¥â the. Žâ¬¥â¨¬ §¤¥áì ¦¥, çâ® ª®-áâàãªæ¨¨ a kind/sort/type of operator ¨ kinds/xtypes/sorts of operators âॡãîâ ? article (¯®á«¥ of).

•г¦-® §- вм, зв® -¥®¯а¥¤¥«•¥--л© ав¨ª«м ¯а¥¤и¥бв¢г¥в [C]-noun, ¬®¤¨д¨ж¨а®¢ --®¬г б ¯®¬®ймо of-да §л, «¨им ¢ ⮬ б«гз ¥, ¥б«¨ нв® ¬®¤¨д¨ª ж¨п ®¯¨б в¥«м- п (descriptive). ˆ- з¥ £®¢®ап, ¢ of-да §¥ а¥зм ¨¤•¥в ® ª з¥бв¢¥, ª®«¨з¥бв¢¥ ¨«¨ ¨§¬¥а¥-¨пе, б®бв ¢¥, ¬ в¥а¨ «¥, б®- ¤¥а¦ -¨¨, ¢®§а бв¥, а §¬¥а¥ ¨«¨ ба ¢-¥-¨¨. ‚ ®бв «м-ле б«гз пе ofда §л п¢«повбп ®£а -¨з¨¢ ой¨¬¨ ¨ ва¥¡гов ав¨ª«п the ¯¥а¥¤ ¨б- 室-л¬ бгй¥бв¢¨в¥«м-л¬.

•®«¥§-® ®â¬¥â¨âì, çâ® -¥ª®â®àë¥ ¯à¨« £ ⥫ì-ë¥ á ¬¨ ¯® ᥡ¥ ®£à -¨ç¨¢ îâ noun, ¯®â®¬ã ¢â®¬ â¨ç¥áª¨ âॡãîâ the. • ¯à¨¬¥à, right, wrong, very, only, main, principal, central, same, following, present, former, latter, proper, opposite, so-called, usual, upper, lower ¨ -¥ª®â®àë¥ ¤à㣨¥. — áâ® â ªãî äã-ªæ¨î -¥á•¥â superlative, ¯à¥¢®á室- ï á⥯¥-ì ¯à¨« £ ⥫ì-®£®.

Šáâ ⨠᪠§ âì, ¯®á«¥ áãé¥á⢨⥫ì-®£®, ª®â®à®¥ ¯à¥¤¢ à¥-® superlative, of áâ ¢¨âì -¥«ì§ï: ã§ãá íâ® § ¯à¥é ¥â. ‘«¥¤ã¥â ¯à¨¬¥-¨âì in, among ¨«¨ ¨-®¥ ¢ í⮬ த¥.

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