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    VOCABULARY

    accumulation (n)s tch lu

    assign to (v.p)gn cho

    assumption (n)gi thit

    express (v)din t, th hin

    extensive (adj)rng, !ao "ut

    #ield (n)l$nh vc

    #ormula (n)c%ng th&c

    #orge (y)d'n d'n (a n

    #unction (n)h)m

    generali*ed (ad)(+c hi "ut h-a

    get the s"uare root o# (v.p)l./ cn !0c hai c1a

    indicate 2v3ch4 ra5ngenious (a)t)i t6nh, h7o l7o

    in terms o# (pp)!8ng cch

    o##shoot (n)nhnhpoint out (v.p)ch4 ra

    propert/ (n)9c tnh, tnh ch.t

    "uantit/ (n)i l(+ng

    represent (v)i din cho

    scope (n )phm vi

    stand #or (v.p)tha/ th cho

    su!division (n )ph'n, ! ph0n, nhnh

    ta!ulation (n)s l0p th)nh !ng

    toss (v + n) tung l:n

    varia!le (n )!in s;

    axiom < postulate 2n3 ti:n 7appreciate (v )nh gi =ng, nh gi cao, hiu r> gi tr?

    approximation 2n3 x.p xi, g'n =ng!ehavior (n)dng iu

    alge!ra o# order (n.p)i s%@ c- c.p

    alge!ra o# Aorder (n.p)i s; c- c.p

    complement (n )ph'n !B 2c1a mt t0p h+p3

    con#usion (n )s lCn ln, nh'm lCn

    distinct (adj)hc !it

    totalit/ 2n3 tDng s;

    un!ounded 2adj3 h%ng !? ch9nvaria!le 2E3 !in s;a!scissa 2n3 ho)nh advance (n )tin !conversel/ (adv)ng(+c licoordinate 2n3 to correspond 2vF t(cmg &ng

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    curvature 2n3 congdeduce 2v3 su/ ra, lu0n rade#inite (adj)xc dinh

    ar!itraril/ (Jv)mt cch tuG H

    arroI 2#l3 mJi t:n

    attraction 2#l3 s&c h=t

    !od/ 2K3 v0t th

    characteri*ation (n )s m% t

    charge 2#l3 in tch

    direction 2#l3 ph(Lng h(Mng

    electron 2#l3 in tNO electron

    #orce 2nPv3 lc

    initial (adf)hQi 'u, g;c

    instantaneous velocit/ 2#lOp3 v0n t;c t&c thRi

    magnitude 2#l3 lMn, d)i

    mass 2#l3 h%i l(+ngnorm 2#l3 chuSn

    resistance 2#l3 in trR

    scalar 2n3 i l(+ng v% h(Mng

    scale 2n3 thang, tT l

    segment (n)on thUng

    terminal (adj)cu;i

    vector 2n3 i l(+ng c- h(Mng, v7cAtL

    alge!raic invariants (n.p)!.t !in i s;

    arra/ 2n3 mng, dV/ !ngcoe##icient 2E3 h s;

    commutative {ad])giao hon

    contri!ute (v )-ng g-p A c%ng tc

    contri!ution 2n3 s -ng g-p

    credit 2n3 s c%ng nh0n

    curve Witting 2X63 vY (Rng cong thc nghimXtheo cc imO

    determinant 2E3 ?nh th&c

    dilatation 2n3 s giVn, ph7p giVn

    elegant {adj)tao nhV 5 thanh l?ch

    explicit (adf)d(+c din t r> r)ng v) '/ 1

    collect4on 2n) t0p h+p

    conversel/ 2adv)ng(+c li

    de#ne (v )?nh ngh$a, xc ?nh

    derive 2v3 nh0n (+c tZ

    empt/ set {n.p)t0p r[ng

    enclose (v )v\/ "uanh, !ao "uanh

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    endpo4nt 2n3 im 'u m=t

    enumeration notation 2nOp3 H hiu s; m

    even num!er (n.p)s; ch]n

    handle (V)gii "u/t

    herd < #loc < school 2n3 )n, !'/

    illustrate (v)minh ho

    indicate (v )ch4 ra, cho !it, ra d.u

    intersect (v )giao, c^t

    irrational num!er 2n.p3 s; v% t4

    lieIise (conj3 t(ong t

    line segment 2n.p3 on thUng

    list (v )lit :

    mem!er < element (n)phSn tN

    natural num!er (n.p)s; t nhi:n

    notation 2XK3 H hiu

    odd num!er _nAp3 s; l`

    proper su!set (,np)t0p con thc s

    rational num!er (rip) shbu ti

    set 2#i3 t0p

    setA!uilder notation 2nOp3 H hiu th)nh phSn t0p

    signi#icant (adj)"uan trng

    su!set (rt.p) t0p con

    s/ m!oli*e (v )!iu t(+ng ho, 9c tr(ng cho

    to !e in use (v )ang trong sN dng

    abbreviate (v) vit ttaim 2v3 mc ch

    associate ()li:n t, li:n !p

    characteri*e (v )m% t tnh cch, 9c im

    constant 2adj3 h%ng [i

    constant mapping 2E3 nh x h%ng DiXnh x h8ng

    converse (adj)o, o 2n3

    domain (ri)min xc ?nh

    gumdrop (ri)fo g%m

    identit/ mapping (ri)nh x Dng nh.t

    image (ri)nh

    index (ri)ch4 s;

    index mapping 2X43 nh x ch4 s;

    into mapping (ri)nh x v)o

    map 2v3 nh x

    mapping (ri)nh x

    onto mapping (ri)nh x 4:n

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    compress (v)n/n

    corporate (a)thuc v c%ng t/corporation (n)t0n" c1n" tyalternate (adj)tha/ thapproach 2vPXi3 tip c0nargument (r');i s;

    associate to (v.p)li:n h vMi, li:n "uan n!ehavior (23)dng iu

    !ounded (adj)!? ch9n

    !/ means o# 2pOp3 !8ng cch

    constant 2n3 h8ng s;

    adding *ero tric (n.p)th1 thu0t cng th:m adopt (v)sN dngapplica!le (adj)p dng (+c

    ar!itrar/ (adj)!.t G

    criterion (n )ti7u chuSn

    drop (v )! di

    exhi!it v)d(a ra, t ra, tr(ng !)/, cho th./

    extract (V)trch, tch, gii n7n (tin)

    implicit (adj) 4n

    chain rule (n.p)"u/ t^c o h)m c1a h)m hp

    constant rule (n.p)"u/ t^c h)m h8ng

    deceptive (adj)d nh'm lCn

    densit/ (n )m0t

    derivative (n)o h)m

    di##erential (n)vi ph\n

    directional derivatives (n.p)o h)m theo h(Mngdi##erentiation (25)ph7p tnh o h)m

    di##erentia!ilit/ (n )tnh h vi

    di##erentia!le (adj)h vi

    adopt (v )ch.p nh0n

    antiAdi##erential (n.p)ngu/:n h)m

    assert (v )hUng ?nh

    assume 2vF gi ?nh

    cloud ?5 che ph1, l)m mR i

    conFecture (v )phng on, (Mc on

    dumm/ varia!le (n.p)!in gielongate 2v3 7o d)i

    em!race (v )!ao gm, !ao trBm

    evaluate (v )nh gi

    illustration (n)s minh ha

    inde#inite integral (n.p)tch ph\n !.t ?nh

    additivit/ 2n3 cng tnh

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    assign 2v3 gn

    dense 2n3 d)/ 9c

    extended real num!er (n.p)s; thc mR rng

    n dimensional space (n .p ) h%ng gian n chiu set

    #unction (n.p)h)m t0p 2h+p3

    set theoretical operations (n.p)cc ph7p ton tr:n t0p h+p

    the intuitive point o# vieI (n.p)mt cch trc "uanaccumulation 2X43 tch tapparent (adj)r> r)ngappraise 2v3 nh giassociation 2n3 hi, t h+passume 2v3 gi ?nhcategor/ 2n3 loi, phm trBconstitute 2v3 to th)nh, c.u th)nh, l0p n:ncontinuum 2n3 vD hncontradiction 2n3 m\u thuCnextent 2n3 phm vigenerali*e 2v3 tDng "ut ho

    germane (ac2j)thch h+p, phB h+pinner measure 2E3 do trongintimate (adj)gn gJilegitimate 2adj3 c- lH, logicmeasura!le 2ad#3 o (+cnonAdimensional (adj)h%ng th& ngu/:nouter measure m d o ngo)i

    persist 2v3 du/ tr6principle 2n3 ngu/:n t.ctopolog/ 2n3 tAp%vital {ad6)"uan trng, mang tnh s;ng cn*ero set _nOp3 t0p c- o

    !ounded 2adF3 !? ch0nclosed sets 2nOp3 t0p -ngclosure o# a set (n.p)!ao -ng c1a mt t0p h+p

    cluster point 2nOp3 im tcluster point #rom the le#t 2right3 2nOp3 im t !:n tri 2phi3compact 2n3 comAp^ccompactness 2nOp3 tnh comAp^cconstitute 2v3 lp th)nh, to th)nhcover 2v3 phBcovering (n)c-i p7deleted neigh!ourhood 2nOp3 l\n c0n hDng t\m 2hu/t3dense 2adF3 trB m0tderived set (n.p)t0p diem t 2tp dCn xu.t3discrete (adj)rRi rcexterior point (n.p)im ngo)i#amil/ (n)h 2cc tp h+p3in#imum (ti)ch9n d(Mi lMn nh.tin#erior point (n.p)im trongcomplementar/ #unction (n.p) h)m !D sungcomplete primitive _nOp3 n"8y9n :% '/ 1degree o# the e"uation 2nOp3 b;c c1ap

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    normed space (n.p)h%ng gian chununi#orml/ continuous (adj)li:n tc u

    implicit #orm (n.p) d&n" 4n

    linear com!ination 2nOp3 t0 h+p t8yn t'n

    order o# the e"uation 2nOp3 c>p c7a p

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    claim 2v? "u "u/t, hUng ?nh

    sample (n)mCu

    statistic (n)m%n th;ng :

    statistics (n)m%n th;ng :, ng)nh th;ng :

    descriptive statistics (n.p)th;ng : m% t

    in#erential statistics (n.p)th;ng : su/ lu0ntag (v)!uc, g^n, dn

    Ihooping crane (rt.p)lo)i su to Q !^c m

    derive 23 su/ ra

    die A 2pl3 dice (n )consGc sc

    event (n )!in c, sH Ii*n

    de#inite event (n.p) bin c ccch^n

    null event (n.p)!in ch%ng th

    experiment (n) p/pthN ngCu nhi:n

    #lip (v)!=ng, l0t nhanh

    outcome (n)t "u, h\u "u

    #avora!le outcome (n.p)t "u thu0n l+i

    possi!le outcome (n.p)t "u c- th

    reasona!le (adj)h+p l, c- l

    roll (v)"ua/, cu;nsample space (n.p)h%ng gian mCu

    5 assert (adj)hUng ?nh

    challenge (v )thch th&c

    classic (adj) cdin

    concede 2v3 thZa nh0n l) d=ng

    den/ 2v3 tZ ch;i, h%ng thZa nh0n

    emerge 2v3 nDi l:n, hin ra

    extend 2v3 mQ rng, 7o d)i

    in#inite (adj)v% s;, v% hn

    intersect 2v3 c^t, giao nhau

    Fusti#/ 2v3 ch&ng minh l) =ng

    mechanics 2n) c=hc

    prove 2v3 ch&ng minh

    revelation 2E3 s pht hin, pht gic

    sane 2adj3 tinh to, c- lH tr

    sel#evident (adj)hin nhi:n l) =ng

    su!stitute 2v3 tha/ th term 2n3 thu0t ngbtheorem (n)?nh lH

    the outset 2nOp3 s hi 'u

    unexpected i#ldO#i !.t ngR, h%ng (+c tt%ng +i

    discourse (n )!)i ging, !)i thu/t tr6nh

    e"ualit/ (n )Ung th&c

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    #undamental (ad) c= sK, c=!n

    location (r3)v? trH

    locus (n )t0p h+p im, "u tch

    notion (n)hi nim, H nim

    notIithstanding (prep)!.t ch.p, h%ng n

    o!tain < gain 2v3 t (+c, thu (+c

    ordered pair (n.p)c9p th& t

    ordinate (n)tung

    origin (n)im g;c

    original (adj)g;c

    philosopher (n)nh) trit gia

    "uadrant (n)g-c, cung ph'n t(

    respectivel/ (adv)mt cch l'n l(+t

    slope (ri) d;c

    speci#/ 2v3 xc ?nh, ch4 r>

    totalit/ (n )tDng s;

    trace 2v3 m% t, ra, vch ra

    Ior out 2vOp3 t6m ra, pht hi:n ra

    elimination 2E3 ph7p hN

    explicitl/ (n )r> r)ng, chnh xc, hin, t(Rng minh

    exploit 2v3 sN dng, hai thc

    #amiliarit/ (t3)s hiu !it r>, s "uen !it

    impressive 2adj3 hBng v$, ngu/ nga, s\u s^c, g\/ .n t(+ng

    insights (r3)s hiu !it !n ch.t

    linear e"uation 2n.p3 ph(Lng tr6nh tu/n tnh

    linearit/ (n)tnh ch.t tu/n tnh

    linear s/stem 2n.p3 h tu/n tnh

    managea!ilit/ (n )c- th "un lH (+c

    parameter (ti)tham s;

    poIer (r3)s; mJ

    prosaic 2adF3 n%m na

    roughl/ (adv)mt cch g'n =ng, mt cch sL !

    simpli#/ 2v3 r=t gn, Ln gin

    setch 2v3 phc ho

    slope (adj)d;cspherical (adj)c- h6nh c'u

    s"uee*e 2v3 v^t

    visuali*e 2v3 h6nh dung, m(Rng t(+ng

    expression 2n3 !i:u thbc

    geneticist 2n3 nh) di tru/n hc

    implicit 2adj3 A in sth (n )ng.m ng'm, Sn

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    implicit/ (n )tnh Sn

    invariant (adj)!.t !in

    investigate 2v3 nghi:n c&u, iu tra

    linear trans#ormation 2n.p3 ph7p !in Di tu/n tnh

    matrix calculus {n.p)ph7p tnh ma tr0n

    mode 2n3 ph(Lng th&c, ph(Lng php, h6nh th&c

    matrix,p2 .matrices (n )ma tr0n

    originate 2n3 sng to ra, l) t.c gi c1a

    phenomena 2n3 hin t(+ng

    "uantum mechanics 2n3 cL hc l(+ng tN

    re#lection 2n3 ph7p phn chiu, s phn x, s ;i x&ng

    remain 2v3 cn li, v]n

    rotation 2n3 ph7p "ua/

    simpli#ication 2E3 s Ln gin, s r=t gnsimultaneous linear e"uations (n.p)h ph(Lng tr6nh tu/n tnh t(Lng thch

    shorthand 2n3 t;c H so#orth 2adv)v\n v\n

    s/stemati*e 2v3 h th;ng ho

    undou!tedl/ 2adv)r> r)ng ch^c ch^n

    fa%i2y ot set q h cc t;p

    #ield o# set q tr(Rng cc t0p

    #ormulate qp-t biL8

    generali*ed !oolean alge!ra 2nOp3 i s; un hi "ut h-a

    hold F v3 =ng vMi

    impose 2v3 p 9t

    induction 2tt3 ph(Lng php "u/ np

    insert 2v3 ch`n v)o

    intersection 2n3 giao 2c1a hai t0p h+p3

    ordered pair (n.p)c0p s^p th& t

    product 2n3 tch

    proFection (n)h6nh chiu

    proposition (n)mnh

    respectivel/ (adv)mt cch l'n l(+t, theo th& t, t(Lng &ng

    retain 2v3 gib liso #ar as smt concerned (a.p)trong chZng mc ai, ci g6 c- li:n "uan

    statement < proposition 2n3 mnh d

    striing (adj)nDi !t

    trivial (adj)nh nht, v0t vVnh, t'm th(Rng

    union 2n3 h+p 2cBa hai tp hp3

    universal class 2nO p3 lMp ph% dng

    universal set 2nOp3 t0p vn nng

    valid 2adF3 c- hiu lc

    rate (n)t;c , t6 l

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    reenter (v)v)o lirevenue (n )doanh thuroughl/ (adv) s=l(+csigni#icance (n )t'm "uan trngspring (n )l xostretch (v )7o cngtangent line (n.p)(Rng tip tu/n

    to !e applica!le to (v.p)c- th &ng dng (+c v)oto !e credited Iith (v.p)#

    determine 2v3 "u/t ?nh, xc ?nh

    domain 2X43 min xc ?nh

    encounter 2v3 g9p, chm trn

    explicit 2adF3 hin, t(Rng minh

    #inite _adF3 xc inh, hbu hn

    #ormulae 2n3 c%ng th&c

    #unction 2XX3 h)m s;

    give rise to 2vOp3 pht sinh, n/ sinh

    graph 2E3 th?

    identi#/ 2v3 nh0n dng

    immaterial 2adF3 h%ng "uan trng

    implicit 2adF3 Sn, ng'm

    in#inite 2adF3 v% hn

    irrational 2nPadF3 v% t4

    5n this manner 2pOp3 theo cch n)/

    ordinate set 2nOp3 t0p tung

    range o# #unction 2nOp3 min gi tr? cBa h)m s;

    rational iPadF3 hbu t4

    restrict 2v3 hn ch

    signi#/ 2v3 !iu th?, !iu hi:n

    speci#/ 2v3 xc ?nh, ch4 r>

    terminate 2v3 t th=c

    monotone decreasing (n. p)Ln iu gim

    monotone increasing (n.p) #=niu tng

    monotonicit/ (n )tnh Ln iu

    oscillate (v)dao ng

    pattern (n)mCu, h6nh th&c

    poIer series (n.p)chu[i lu thZa

    recursive (adj)l9p, tru/ hDi

    series (n )chu[i

    strictl/ decreasing (a.p)gim nghi:m ng9t

    strictl/ increasing (a.p)tng nghi:m ngt

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    su!se"uence (n )dV/ con

    theorem (n)?nh lH

    triangle ine"ualit/ (n.p)!.t Ung th&c tam gic

    tric (2i)th1 php, thB thu0t

    uni"ue (adj)du/ nh.t

    di##erential calculus (n.p)ph7p tnh vi ph\n

    di##erentiate (y )tnh o h)m

    dissolution (n)ph\n rV

    higherorder derivatives (n.p)o h)m c.p cao

    increment (n)s; gia

    in#inite derivatives (n.p)o h)m v% hn

    instantaneous velocit/ (rt.p) v0n t;c t&c thRi

    mani#estation (n)s !iu th?

    marginal pro#it (n.p)l+i ch c0n !i:n

    onesided derivatives (rt.p)o h)m mt phapartial derivatives (n.p)o h)m ri:ng 2theo !in3

    poIer rule (n.p)"u/ t^c h)m lu thZa

    productX"uotient rule (n.p)"u/ t^c o h)m tchXth(Lng

    preserve 2v3 !o to)n

    tangent line (n.p)tip tu/n

    theme (n)ch1

    integra!le (ac2j)h tch

    integrand n)h)m l./ tch ph\n

    int7gration 2n3 ph7p tnh tch ph\n

    inter val 2n3 on thUng, hongintuition 2n3 trc gic

    intuitive 2adF3 mang tnh trc gic

    landmar 2n3 m;c

    loIer integral 2l$Op3 tch ph\n d(Mi

    loIer sum 2nOp3 tDng d(Mi

    partition 2n3 ph\n hoch

    proposition 2n3 mnh

    strip 2n3 di

    su!division (n )ph\n hoch

    throughout (prep)xu/:n su;t

    to !e concerned Iith (v.p)li:n "uan n, "uan tm n

    additivit/ 2#i3 cng tnh

    assign 2v3 gn

    dense in3 tr) m0t

    extended real num!er 2nOp3 s; thc mQ rng

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    n dimensional space 2XAp3 h%ng gian n chiu

    set #unction 2nOp3 h)m t0p 2h+p3

    set theoretical operations 2nOp3 cc ph7p ton tr:n t0p h+p the intuitive

    point o# vieI 2nOp3 mt cch trc "uan

    isolated point 2nOp3 im c% l0p

    midpoint 2t63 im giba

    neigh!ourhoods 2n3 l\n c0n

    nested 2adF3 lng nhau

    per#ect 2adF3 ho)n ch4nh

    point o# accumulation 2nOp3 im tch t

    real varia!le theor/ 2nOp3 lH thu/t !in thc

    se"uences o# closed sets 2nOp3 dV/ cc t0p -ng

    su!#amil/ 2n3 h con

    supremum 2n3 chn tr:n nh nh.t

    the !oundar/ o# a set 2nOp3 !i:n c1a t0p h+p

    the interior, the exterior o# a set 2nOp3 ph'n trong, ngo)i

    come into !eing 2vOp3 !^t Su tn ti

    condense 2v3 l)m c% ng

    contaminate 2v3 l)m % nhi:m

    discrete 2adF3 rRi rc

    endangered species 2nOp3 lo)i v0t c- ngu/ cL tit ch1ng

    gather 2v3 thu th0p, t0p h+p

    giant panda 2nOp3 g.u tr=c

    in more general sense 2prepOp3 Q ngh$a hi "ut hLn

    involve 2v3 !ao h)m managea!le 2adF3 c- th "un l (+cmeasurements 2n3 ph7p o, h th;ng o

    misuse 2v3 lm dng

    monogam/ 2n3 ch mt v+ mt chng

    name !ut a #eI 2vOp3 ch4 mt s;

    o!servation 2n3 s "uan st

    o!tain 2v3 gi)nh (+c, c- (+c

    parameter 2n3 tham s;, th%ng s;

    population 2n3 "u\n th

    procedure 2n3 !in php

    "ualitative data 2nOp3 db liu ?nh tnh"uantitative data 2nOp3 dZ liu dinh l(+ng

    radon 2n3 h4 ph-ng x do s phn gii c1a ra di

    roughl/ speaing 2nOp3 nDi nm na