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一、Number數(shù)字106
:onemillion109:onebillion(oronethousandmillion)1012:onetrillion(oronemillionmillion)1015
:onequadrillion(oronethousandmillionmillion)1018
:onequintillion(oronemillionmillionmillion)123,456,789:onehundredandtwentythreemillion,fourhundredandfifty-sixthousand,sevenhundredandeighty-nine12,345,678,900,000:twelvetrillion,threehundredandfortyfivebillion,sixhundredandseventy-eightmillion,ninehundredthousand-18:minuseighteen二、Fractions分?jǐn)?shù)通常將分子讀為基數(shù),將分母讀為序數(shù)。1/2:a(orone)half1/3:a(orone)third1/4:aquarteroronefourth1/5:a(orone)fifth2/3:twothirds,twooverthree,ortwobythree9/10:ninetenths,nineoverten,orninebyten53/4:fiveandthreequarters15/64:fifteenover(orby)sixty-four15%:fifteenpercent4‰:fourpermill(ormil)三、Decimals小數(shù)0.4:zero(ornaught)pointfour.01:point(ordecimal)naught(oroh)one12.34:twelvepointthreefour567.809:fivehundredandsixty-sevenpointeightnaught(oroh)nine30.45:thirtypointfourfive,0.3333333…..:pointthreerepeating(orrecurring)0.3%:point(ordecimal)threepercent四、MathematicForms數(shù)學(xué)式(4-1)
Addition加法1+2=3:Oneandtwoarethree.2+3=5:Twoplusthreeequalsfive.4+0=4:Fourandnaughtisequaltofour.45+70+152=267:45,70and152addedare(ormake)267thesum(ortotal)is267.(4-2)
Subtraction減法9-4=5:Nineminusfourequals(orisequalto)five.15-7=8:Sevenfromfifteenleaveseight.23,654-8,175=15,479:8,175(takeorsubtracted)from23,654leaves15,479.Thedifference(orTheremainder)is15,479.(4-3)
Multiplication乘法1×0=0:Onemultipliedbynaughtequalsnaught.1×1=1:Onceoneisone.2×1=2:Twiceoneistwo.3×5=15:Threetimesfiveisfifteen6×0=0:Multiplysixbynothing,andtheresultisnothing.(4-4)
Division除法9÷3=3:Ninedividedbythreemakes(orisequalto)three.20÷5=4:Fiveintotwentygoesfourtimes.4567÷23=198餘13:23into4567goes198times,and13remainder.Thequotientis198,and13remainder.五、Power冪次方??
當(dāng)中,
b
被稱為底數(shù)(base),n
被稱為指數(shù)(powerorexponent)??
:the
nthpowerof
b
或
b
tothe
nthpower.??107
:
a
timestheseventhpoweroften.b
的平方:
b
squareor
b
squaredb
的立方:
b
cubeor
b
cubedb
的4次方:
b
tothefourthb
的-1次方:
b
totheminusone六、Time時(shí)間(6-1)
Hours鐘點(diǎn)2h.5'8":twohoursfiveminuteseightseconds2小時(shí)5分8秒6.18:sixeighteen6時(shí)18分8.30a.m.:eightthirtya.m.上午8時(shí)30分the6.05p.m.train:thesix(naught)fivep.m.train下午6時(shí)零5分列車又二十四小時(shí)混合制的寫法和讀法如下:0900:0ninehundred(上午)9時(shí)0910:0nineten(上午)9時(shí)10分1300:thirteenhundred13時(shí)(下午1時(shí))1525:fifteentwenty-five15時(shí)25分(下午3時(shí)25分)2000:twentyhundred20時(shí)(下午8時(shí))at5o'clock:atfiveo'clock五點(diǎn)鐘(6-2)
Date日期Oct.1:Octoberfirst10月1日Oct.1st:Octoberthefirst10月1日1stOct.1949:thefirstofOctober,nineteenforty-nine1949年10月1日3/5:[英]May(the)third5月3日;[美]Marchfifth3月5日684B.C.:Sixeighty-fourB.C.西元前684年106A.D:oneohsixA.D.西元106年1960:nineteensixty;nineteenhundredandsixty19-:nineteensomething1950's:nineteenfifties二十世紀(jì)五十年代60's:sixties本世紀(jì)60年代1770年代初期:intheearly1770's20世紀(jì)末:inthelate20thcentury11世紀(jì)中葉:inthemid11thcentury七、PhoneandRoomNumbers電話及房間號碼2303-9047:twothreezero(oroh)three,ninezero(oroh)fourseven3366-3662:threethreesixsix,threesixsixtwo或doublethreedoublesix,threedoublesixtworoom137:roomonethreeseven車牌號碼,身分證號碼,以及各種編號的讀法皆類似八、其他???(?)
:thelogarithmof
x????(?)
:thelogarithmof
x
tothebase
b5:3:fivetothreeA隊(duì)領(lǐng)先2分:TeamAisleading(orahead)bytwo.B隊(duì)落後2分:TeamBistrailing(ordown)bytwo.45度角:forty-fivedegreeangle二元一次方程式:linear(orsimple)equationwithtwounknowns一元二次方程式:quadraticequationwithoneunknownVol.I:Volumeone(orthefirstvolume)(chapter,page,line的讀法類似)Matt.7:12:Matthew,ChapterSeven,VerseTwelve《馬可福音》第七章第12節(jié)HamletIII1:56:HamletActThree,SceneOne,Linefifty-six《哈姆雷特》第3幕第一場第56行時(shí)頻分析第123頁第四行:Time-FrequencyAnalysis,page123,line4HenryV:HenrytheFifth亨利五世$4.25:fourdollarstwenty-fivecents四元二十五分(大小單位之間不必加and)15ft.5in:fifteenfootfive(inches)十五英尺五英寸20gal.5qt.:Twentygallonsfivequarts二十加侖五夸脫10×8feet:tenbyeightfeet十英尺長,八英尺寬5"×4×21/2:fiveinchesbyfourbytwoandahalf長五英寸,寬四英寸,高二英寸半九、符號的英文讀法(9-1)
PunctuationMarks
標(biāo)點(diǎn)符號中文英文中文英文§分節(jié)號section;
division-破折號dash。句號period/斜線virgule;
slash,逗號comma\反斜線backslash:冒號colon~波浪號tilde
(orswungdash);分號semicolon...省略號ellipsis!驚嘆號exclamation(?圓括號parentheses@at''單引號single
quotationmarks'所有格號apostrophe“”雙引號double
quotationmarks?問號question
mark《》法文引號或書名號French
quotes.點(diǎn)dot[?方括號(square)
brackets*星號asterisk
(orstar){?大括號braces→箭號arrow‖雙線號parallel(9-2)
MathematicalSymbols(I)數(shù)學(xué)符號(一)中文英文中文英文=等號is
equalto≯不大於is
notmorethan≠不等號is
notequalto%百分之per
cent(orpercent)≈約等於is
approximatelyequalto‰千分之per
mill(ormil)<小於is
lessthan≡全等號is
equivalentto>大於is
morethan≌約等於is
approximatelyequalto≤小於等於is
lessthanorequalto;
isnomorethan∝與…成比例varies
as≥大於等於is
morethanorequalto;
isnolessthan∞無限大infinity≮不小於is
notlessthan&以及and
(orampersand)(9-3)
MathematicalSymbols(II)數(shù)學(xué)符號(二)中文英文中文英文+加號
正號plus√平方根(square)
root-減號
負(fù)號minus∫積分integral
of×乘號is
multipliedby∑總和summation
of?除號is
dividedby°度degree±正負(fù)號plus
orminus′分minute∵因?yàn)閟ince;
because″秒second∴所以hence℃攝氏centigrade∠角angle°F華氏(degree)Fahrenheit⌒半圓semicirclen!n階乘the
factorialofn⊙圓circle^hat○圓周circumference|a|a的絕對值the
absolutevalueofaπ圓周率pilog?對數(shù)(common)
logarithm△三角形triangleln?自然對數(shù)natural
logarithm⊥垂直is
perpendiculartosin正弦sine∪合集union
ofcos餘弦cosine∩交集intersection
oftan正切tangent#數(shù)字numbercot餘切cotangent$美元dollarsec正割secantf(a)a的函式the
functionofacsc餘割cosecant十、數(shù)學(xué)常用字
CommonWordsinMathematics(10-1)
Science科學(xué)公理axiom推論corollary定理theorem反例counterexample定律law;
principle演繹deduct
(v);deduction(n)證明prove;
verify歸納induct
(v);induction(n)假設(shè);假說hypothesis;
hypotheses(pl.)經(jīng)驗(yàn)式的heuristic命題proposition演算法algorithm(10-2)
Numbers數(shù)數(shù)number十進(jìn)位decimal
system數(shù)字digit二進(jìn)位binary
system自然數(shù)natural
number十六進(jìn)位hexadecimal
system整數(shù)integer有理數(shù)rational
number小數(shù)decimal;
decimalfraction;decimal
figure無理數(shù)irrational
number小數(shù)點(diǎn)decimal
point實(shí)數(shù)real
number循環(huán)小數(shù)recurring
decimal;periodicdecimal;repeatingdecimal虛數(shù)imaginary
number無盡小數(shù)infinite
decimal複數(shù)complex
number正positive有效數(shù)字significant
digit負(fù)negative無效數(shù)字insignificant
digit零null,
zero,naught,nil因數(shù)factor無窮大infinite(a.)
infinity(n.)公因數(shù)common
factor無窮小infinitesimal倍數(shù)multiple分?jǐn)?shù)fraction公倍數(shù)common
multiple分子numerator質(zhì)數(shù)prime
number分母denominator因式分解factorization(n);factorize(v)倒數(shù)reciprocal;inverse近似值approximatevalue(10-3)
Operations(I)運(yùn)算(一)加plus(prep.);
add(v.);addition(n.)被乘數(shù)multiplicand;
faciend被加數(shù)augend;summand乘數(shù)multiplier;multiplicator加數(shù)addend積product和sum除divided
by(prep.);divide(v.);division(n.)減minus
(prep.);subtract(v.);subtraction(n.)被除數(shù)dividend被減數(shù)minuend除數(shù)divisor減數(shù)subtrahend商quotient乘times(prep.);
multiply(v.);multiplication(n.)餘數(shù)remainder(10-4)
Operations(II)運(yùn)算(二)計(jì)算calculation對數(shù)logarithm運(yùn)算operation指數(shù);冪;
乘方exponent;
power算術(shù)arithmetic二次方;
平方square運(yùn)算符operator三次方;
立方cube等於equals,
isequalto,isequivalentto四次方the
poweroffour;
thefourthpower大於is
greaterthann次方the
powerofn;
thenthpower小於is
lesserthan開方evolution;
extraction大於等於is
morethanorequalto;
isnolessthan二次方根;
平方根square
root小於等於is
lessthanorequalto;
isnomorethan三次方根;
立方根cube
root比ratio四次方根the
rootoffour;
thefourthroot進(jìn)位carryn次方根the
rootofn;thenthroot通分reductiontoacommondenominator截尾truncation約分reductionofafraction四捨五入round微積分calculus下捨入floor
(orrounddown)微分differential上捨入ceil
(orroundup)偏微分partial
differential絕對值absolutevalue;modulus導(dǎo)數(shù)derivative階乘factorial積分integral內(nèi)積inner
product定積分definite
integral加權(quán)weight,
significance不定積分indefinite
integral轉(zhuǎn)換transform差分difference旋積convolution(10-5)
AlgebrasandFunctions代數(shù)與函數(shù)代數(shù)algebra方程式equation;
function係數(shù)coefficient公式formula;
formulae(pl.)未知數(shù)unknown;
x-factor;y-factor;z-factor恆等式identity常數(shù)constant單項(xiàng)式monomial變數(shù)variable多項(xiàng)式polynomial;
multinomial函數(shù)functionn次多項(xiàng)式nthorderpolynomial定義域domain;
fieldofdefinition一次方程linear
(orsimple)equation值域range二次方程quadratic
equation等式equality三次方程cubic
equation不等式inequalitym元n次
方程式nthorderequation
withmunknowns(10-6)
Properties性質(zhì)極限limit奇偶性parity正交orthogonal(a);
orthogonality(n)對稱性symmetry交換律commutativity可逆性reversibility結(jié)換律associativity單調(diào)性monotonicity分配律distributivity週期性periodicity(10-7)
SetsandLogic集合與邏輯集合set;
aggregate聯(lián)集union元素element補(bǔ)集complement子集subset充分條件sufficient
condition空集void必要條件necessary
condition交集intersection充分且必要if
andonlyif(10-8)
Geometry(I)幾何(一)幾何geometry頂點(diǎn)vertex點(diǎn)point邊side線line直角邊leg面plane斜邊hypotenuse體solid底base平行parallel高h(yuǎn)eight相交intersect三角形triangle垂直;正交perpendicular;vertical;orthogonal銳角三角形acute
triangle角angle直角三角形right
triangle角度degree鈍角三角形obtuse
triangle弧度radian不等邊三角形scalene
triangle銳角acute
angle等邊三角形equilateral
triangle直角right
angle等腰三角形isosceles
triangle鈍角obtuse
angle四邊形quadrilateral平角straight
angle長length周角perigon寬width圓circle對角線diagonal圓心centre(BrE),
center(AmE)平行四邊形parallelogram半徑radius矩形rectangle直徑diameter正方形square圓周率pi菱形rhomb;
rhombus;rhombi(pl.);diamond弧arc梯形trapezoid半圓semicircle直角梯形right
trapezoid扇形sector;
fan等腰梯形isosceles
trapezoid環(huán)ring五邊形pentagon橢圓ellipse六邊形hexagon圓周circumference七邊形heptagon面積area八邊形octagon周長perimeter九邊形enneagon畢氏定理Pythagorean
theorem十邊形decagon多邊形polygon十一邊形hendecagon正多邊形equilateral
polygon十二邊形dodecagon(10-9)
Geometry(II)幾何(二)相似similar球sphere全等congruent半球hemisphere立方體cube圓錐cone多面體polyhedron圓柱cylinder三角錐pyramid圓臺(tái)frustum
ofacone三角柱prism內(nèi)切圓inscribed
circle棱臺(tái)frustum
ofaprism外切圓circum
circle四面體tetrahedron空間space五面體pentahedron維dimension六面體hexahedronn維n-dimension平行六面體parallelepipedn度空間n-dimensional
space七面體heptahedron三角trigonometry八面體octahedron正弦sine九面體enneahedron餘弦cosine十面體decahedron正切tangent十一面體hendecahedron餘切cotangent十二面體dodecahedron正割secant二十面體icosahedron餘割cosecant底面undersurface反正弦arc
sine內(nèi)心incentre(BrE),
incenter(AmE)反餘弦arc
cosine外心excentre(BrE),
excenter(AmE)反正切arc
tangent旁心escentre(BrE),
escenter(AmE)反餘切arc
cotangent垂心orthocentre(BrE),
orthocenter(AmE)反正割arc
secant重心barycentre(BrE),
barycenter(AmE)反餘割arc
cosecant體積volume投影projection表面積surface
area旋轉(zhuǎn)rotation(10-10)
Geometry(III):LinesandCoordinates幾何(三):
線與座標(biāo)軌跡locus,
loci(pl.)向量vector座標(biāo)系coordinate象限quadrant直角座標(biāo)系Cartesiancoordinatesystem線段segment圓座標(biāo)系polar
coo
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