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1.Logic                
∃                 there exist
∀                 for all
p⇒q                 p implies q / if p, then q
p⇔q                 p if and only if q /p is equivalent to q / p and q are equivalent
2.Sets                
x¡ÊA                 x belongs to A / x is an element (or a member) of A
x∉A                 x does not belong to A / x is not an element (or a member) of A
A⊂B                 A is contained in B / A is a subset of B
A⊃B                 A contains B / B is a subset of A
A¡ÉB                 A cap B / A meet B / A intersection B
A¡ÈB                 A cup B / A join B / A union B
A\B                 A minus B / the diference between A and B
A¡ÁB                 A cross B / the cartesian product of A and B
3. Real numbers                
x+1                 x plus one
x-1                 x minus one
x¡À1                 x plus or minus one
xy                 xy / x multiplied by y
               
(x - y)(x + y)                 x minus y, x plus y
               
x y                 x over y
=                 the equals sign
x = 5                 x equals 5 / x is equal to 5
x¡Ù5                 x (is) not equal to 5
x¡Ôy                 x is equivalent to (or identical with) y
x ¡Ô y                 x is not equivalent to (or identical with) y
x > y                 x is greater than y
x¡Ýy                 x is greater than or equal to y
x < y                 x is less than y
x¡Üy                 x is less than or equal to y
0 < x < 1                 zero is less than x is less than 1
0¡Üx¡Ü1                 zero is less than or equal to x is less than or equal to 1
| x |                 mod x / modulus x
x 2                 x squared / x (raised) to the power 2
x 3                 x cubed
x 4                 x to the fourth / x to the power four
x n                 x to the nth / x to the power n
x −n                 x to the (power) minus n
x                 (square) root x / the square root of x
x 3                 cube root (of) x
x 4                 fourth root (of) x
x n                 nth root (of) x
( x+y ) 2                 x plus y all squared
( x y ) 2                 x over y all squared
n!                 n factorial
x ^                 x hat
x ¯                 x bar
x ˜                 x tilde
x i                 xi / x subscript i / x suffix i / x sub i
¡Æ i=1 n a i                 the sum from i equals one to n a i / the sum as i runs from 1 to n of the a i
4. Linear algebra                
¡¬ x ¡¬                 the norm (or modulus) of x
OA ¡ú                 OA / vector OA
OA ¯                 OA / the length of the segment OA
A T                 A transpose / the transpose of A
A −1                 A inverse / the inverse of A
5. Functions                
f( x )                 fx / f of x / the function f of x
f:S¡úT                 a function f from S to T
x¡úy                 x maps to y / x is sent (or mapped) to y
f'( x )                 f prime x / f dash x / the (first) derivative of f with respect to x
f''( x )                 f double-prime x / f double-dash x / the second derivative of f with respect to x
f'''( x )                 triple-prime x / f triple-dash x / the third derivative of f with respect to x
f (4) ( x )                 f four x / the fourth derivative of f with respect to x
∂f ∂ x 1                 the partial (derivative) of f with respect to x1
∂ 2 f ∂ x 1 2                 the second partial (derivative) of f with respect to x1
¡Ò 0 ¡Þ                 the integral from zero to infinity
lim⁡ x¡ú0                 the limit as x approaches zero
lim⁡ x¡ú 0 +                 the limit as x approaches zero from above
lim⁡ x¡ú 0 −                 the limit as x approaches zero from below
log e y                 log y to the base e / log to the base e of y / natural log (of) y
ln⁡y                 log y to the base e / log to the base e of y / natural log (of) y
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2.Óйؼ¯ºÏ

union²¢¼¯ª¤proper subsetÕæ×Ó¼¯ª¤solution set½â¼¯ª¤ª¤

3.ª±ÓйشúÊýʽ¡¢·½³ÌºÍ²»µÈʽ

algebraic term´úÊýÏlike terms,similar termsͬÀàÏ
numerical coefficientÊý×ÖϵÊýª¤literal coefficient×ÖĸϵÊýª¤ª¤inequality²»µÈʽª¤triangle inequalityÈý½Ç²»µÈʽª¤ª¤rangeÖµÓòª¤ª¤original equationÔ­·½³Ìª¤equivalent equationͬ½â·½³Ì£¬µÈ¼Û·½³Ìª¤
linear equationÏßÐÔ·½³Ì(e.g.5ª«xª«+6=22)ª¤

4.ª±ÓйطÖÊýºÍСÊý

proper fractionÕæ·ÖÊýª¤improper fraction¼Ù·ÖÊýª¤mixed number´ø·ÖÊýª¤vulgar fraction£¬common fractionÆÕͨ·ÖÊýª¤simple fraction¼ò·ÖÊýª¤complex fraction·±·ÖÊýª¤ª¤numerator·Ö×Óª¤denominator·Öĸª¤(least)common denominator£¨×îС£©¹«·Öĸª¤quarterËÄ·ÖÖ®Ò»ª¤
decimal fraction´¿Ð¡Êýª¤infinite decimalÎÞÇîСÊýª¤
recurring decimalÑ­»·Ð¡Êýª¤tenthsunitÊ®·Ö몤ª¤

5.»ù±¾Êýѧ¸ÅÄª¤

arithmetic meanËãÊõƽ¾ùÖµª¤weighted average¼ÓȨƽ¾ùÖµª¤geometric mean¼¸ºÎƽ¾ùÊýª¤ª¤exponentÖ¸Êý£¬Ãݪ¤base³ËÃݵĵ×Êý,µ×±ßª¤cubeÁ¢·½Êý£¬Á¢·½Ì媤square rootƽ·½¸ùª¤cube rootÁ¢·½¸ùª¤ª¤common logarithm³£ÓöÔÊýª¤ª¤digitÊý×Öª¤constant³£Êýª¤variable±äÁ¿ª¤ª¤inversefunction·´º¯Êýª¤complementary functionÓຯÊýª¤linearÒ»´ÎµÄ£¬ÏßÐԵΤfactorizationÒòʽ·Ö½âª¤absolute value¾ø¶ÔÖµ£¬e.g.£ü-32£ü=32ª¤round offËÄÉáÎåÈ몤

6.ª±ÓйØÊýÂÛª¤

natural number×ÔÈ»Êýª¤positive numberÕýÊýª¤negative number¸ºÊýª¤odd integer,odd numberÆæÊýª¤even integer,even numberżÊýª¤integer,whole numberÕûÊýª¤positive whole numberÕýÕûÊýª¤negative whole number¸ºÕûÊýª¤ª¤consecutive numberÁ¬ÐøÕûÊýª¤rea lnumber,rational numberʵÊý,ÓÐÀíÊýª¤irrational£¨number£©ÎÞÀíÊýª¤ª¤inverseµ¹Êýª¤composite numberºÏÊýe.g.4,6,8,9,10,12,14,15¡­¡­ª¤prime numberÖÊÊýe.g.2,3,5,7,11,13,15¡­¡­×¢Ò⣺ËùÓеÄÖÊÊý(2³ýÍâ)¶¼ÊÇÆæÊý£¬µ«ÆæÊý²»Ò»¶¨ÊÇÖÊÊýreciprocalµ¹Êýª¤ª¤common divisor¹«Ô¼Êýª¤multiple±¶Êýª¤(least)common multiple(×îС)¹«±¶Êýª¤ª¤(prime)factor(ÖÊ)Òò×Óª¤common factor¹«Òò×Óª¤ª¤ordinaryscale,decimalscaleÊ®½øÖƪ¤nonnegative·Ç¸ºµÄª¤ª¤tensʮ몤units¸ö몤ª¤modeÖÚÊýª¤medianÖÐÊýª¤ª¤common ratio¹«±Èª¤ª¤

7.ª±ÊýÁÐ

arithmetic progression(sequence)µÈ²îÊýÁЪ¤geometric progression(sequence)µÈ±ÈÊýÁЪ¤ª¤

8.ª±ÆäËüª¤approximate½üËÆª¤(anti)clockwise(Äæ)˳ʱÕë·½Ïòª¤cardinal»ùÊýª¤ordinalÐòÊýª¤directproportionÕý±Èª¤distinct²»Í¬µÄª¤estimation¹À¼Æ£¬½üËÆª¤parenthesesÀ¨ºÅª¤proportion±ÈÀýª¤permutationÅÅÁЪ¤combination×éºÏª¤table±í¸ñª¤trigonometric functionÈý½Çº¯Êýª¤unitµ¥Î»,몤

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1.ËùÓеĽÇ

alternate angleÄÚ´í½Çª¤corresponding angleͬλ½Çª¤vertical angle¶Ô¶¥½Çª¤central angleÔ²ÐĽǪ¤interior angleÄڽǪ¤exterior angleÍâ½Çª¤supplement aryangles²¹½Çª¤complement aryangleÓà½Çª¤adjacent angleÁڽǪ¤acute angleÈñ½Çª¤obtuse angle¶Û½Çª¤right angleÖ±½Çª¤round angleÖܽǪ¤straight angleƽ½Çª¤included angle¼Ð½Çª¤ª¤

2.ª±ËùÓеÄÈý½ÇÐÎ

equilateral triangleµÈ±ßÈý½ÇÐΪ¤scalene triangle²»µÈ±ßÈý½ÇÐΪ¤isosceles triangleµÈÑüÈý½ÇÐΪ¤right triangleÖ±½ÇÈý½ÇÐΪ¤obliqueбÈý½ÇÐΪ¤inscribed triangleÄÚ½ÓÈý½ÇÐΪ¤ª¤

3.ª±ÓйØÊÕÁ²µÄÆ½ÃæÍ¼ÐΣ¬³ýÈý½ÇÐÎÍ⪤

semicircle°ëÔ²ª¤

concentric circlesͬÐÄÔ²ª¤quadrilateralËıßÐΪ¤pentagonÎå±ßÐΪ¤hexagonÁù±ßÐΪ¤heptagonÆß±ßÐΪ¤octagon°Ë±ßÐΪ¤nonagon¾Å±ßÐΪ¤decagonÊ®±ßÐΪ¤polygon¶à±ßÐΪ¤parallelogramƽÐÐËıßÐΪ¤equilateralµÈ±ßÐΪ¤planeÆ½Ãæª¤squareÕý·½ÐΣ¬Æ½·½ª¤rectangle³¤·½ÐΪ¤regular polygonÕý¶à±ßÐΪ¤rhombusÁâÐΪ¤trapezoidÌÝÐΪ¤ª¤

4.ª±ÆäËüÆ½ÃæÍ¼ÐÎ

arc»¡ª¤line,straight lineÖ±Ïߪ¤line segmentÏ߶Ϊ¤parallel linesƽÐÐÏߪ¤segment of a circle»¡ÐΪ¤ª¤

5.ª±ÓйØÁ¢ÌåͼÐÎ

cubeÁ¢·½Ì壬Á¢·½Êýª¤rectangular solid³¤·½Ì媤regular solid/regular polyhedronÕý¶àÃæÌ媤circular cylinderÔ²ÖùÌ媤coneÔ²×¶ª¤sphereÇòÌ媤solidÁ¢ÌåµÄª¤ª¤

6.ª±ÓйØÍ¼ÐÎÉϵĸ½ÊôÎï

altitude¸ßª¤depthÉî¶Èª¤side±ß³¤ª¤circumference,perimeterÖܳ¤ª¤radian»¡¶Èª¤surface area±íÃæ»ýª¤volumeÌå»ýª¤armÖ±½ÇÈý½ÇÐεĹɪ¤cros ssectionºá½ØÃ檤center of acircleÔ²ÐΤchordÏÒª¤radius°ë¾¶ª¤angle bisector½Çƽ·ÖÏߪ¤diagonal¶Ô½ÇÏߪ¤diameterÖ±¾¶ª¤edgeÀ⪤face of a solidÁ¢ÌåµÄÃæª¤hypotenuseб±ßª¤included side¼Ð±ßª¤legÈý½ÇÐεÄÖ±½Ç±ßª¤medianofatriangleÈý½ÇÐεÄÖÐÏߪ¤baseµ×±ß£¬µ×Êý£¨e.g.2µÄ5´Î·½£¬2¾ÍÊǵ×Êý£©ª¤oppositeÖ±½ÇÈý½ÇÐÎÖеĶԱߪ¤midpointÖе㪤endpoint¶Ëµãª¤vertex(¸´ÊýÐÎʽvertices)¶¥µãª¤tangentÇÐÏߵΤtransversal½ØÏߪ¤intercept½Ø¾àª¤ª¤

7.ª±ÓйØ×ø±êª¤ª¤

coordinate system×ø±êϵª¤rectangular coordinateÖ±½Ç×ø±êϵª¤originÔ­µãª¤abscissaºá×ø±êª¤ordinate×Ý×ø±êª¤numberlineÊýÖ᪤quadrantÏóÏÞª¤slopeбÂʪ¤complex plane¸´Æ½Ã檤ª¤

8.ª±ÆäËü

plane geometryÆ½Ãæ¼¸ºÎª¤trigonometryÈý½Çѧª¤bisectƽ·Öª¤circumscribeÍâÇЪ¤inscribeÄÚÇЪ¤intersectÏཻª¤perpendicular´¹Ö±ª¤pythagorean theorem¹´¹É¶¨Àíª¤congruentÈ«µÈµÄª¤multilateral¶à±ßµÄª¤

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intercalary year(leapyear)ÈòÄê(366Ìì)ª¤common yearƽÄê(365Ìì)ª¤depreciationÕ۾ɪ¤down paymentÖ±½Ó¸¶¿îª¤discount´òÕÛª¤marginÀûÈóª¤profitÀûÈóª¤interestÀûÏ¢ª¤simple interestµ¥Àûª¤compounded interest¸´Àûª¤dividendºìÀûª¤decrease to¼õÉÙµ½ª¤decrease by¼õÉÙÁ˪¤increase toÔö¼Óµ½ª¤increase byÔö¼ÓÁ˪¤denote±íʾª¤list price±ê¼Ûª¤markupÕǼ۪¤per capitaÿÈ˪¤ratio±ÈÂʪ¤retail priceÁãÊÛ¼Ûª¤tie´òƽ
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½ð³æ (ÕýʽдÊÖ)

¡ï
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Ò»°ã´Ê»ã
        Êýѧ mathematics, maths(BrE), math(AmE)
        ¹«Àí axiom
        ¶¨Àí theorem
        ¼ÆËã calculation
        ÔËËã operation
        Ö¤Ã÷ prove
        ¼ÙÉè hypothesis, hypotheses(pl.)
        ÃüÌâ proposition
        ËãÊõ arithmetic
        ¼Ó plus(prep.), add(v.), addition(n.)
        ±»¼ÓÊý augend, summand
        ¼ÓÊý addend
        ºÍ sum
        ¼õ minus(prep.), subtract(v.), subtraction(n.)
        ±»¼õÊý minuend
        ¼õÊý subtrahend
        ²î remainder
        ³Ë times(prep.), multiply(v.), multiplication(n.)
        ±»³ËÊý multiplicand, faciend
        ³ËÊý multiplicator
        »ý product
        ³ý divided by(prep.), divide(v.), division(n.)
        ±»³ýÊý dividend
        ³ýÊý divisor
        ÉÌ quotient
        µÈÓÚ equals, is equal to, is equivalent to
        ´óÓÚ is greater than
        Ð¡ÓÚ is lesser than
        ´óÓÚµÈÓÚ is equal or greater than
        Ð¡ÓÚµÈÓÚ is equal or lesser than
        ÔËËã·û operator
        Êý×Ö digit
        Êý number
        ×ÔÈ»Êý natural number
        ÕûÊý integer
        Ð¡Êý decimal
        Ð¡Êýµã decimal point
        ·ÖÊý fraction
        ·Ö×Ó numerator
        ·Öĸ denominator
        ±È ratio
        Õý positive
        ¸º negative
        Áã null, zero, nought, nil
        Ê®½øÖÆ decimal system
        ¶þ½øÖÆ binary system
        Ê®Áù½øÖÆ hexadecimal system
        È¨ weight, significance
        ½øÎ» carry
        ½ØÎ² truncation
        ËÄÉáÎåÈë round
        ÏÂÉáÈë round down
        ÉÏÉáÈë round up
        ÓÐЧÊý×Ö significant digit
        ÎÞЧÊý×Ö insignificant digit
        ´úÊý algebra
        ¹«Ê½ formula, formulae(pl.)
        µ¥Ïîʽ monomial
        ¶àÏîʽ polynomial, multinomial
        ÏµÊý coefficient
        Î´ÖªÊý unknown, x-factor, y-factor, z-factor
        µÈʽ£¬·½³Ìʽ equation
        Ò»´Î·½³Ì simple equation
        ¶þ´Î·½³Ì quadratic equation
        Èý´Î·½³Ì cubic equation
        ËĴη½³Ì quartic equation
        ²»µÈʽ inequation
        ½×³Ë factorial
        ¶ÔÊý logarithm
        Ö¸Êý£¬ÃÝ exponent
        ³Ë·½ power
        ¶þ´Î·½£¬Æ½·½ square
        Èý´Î·½£¬Á¢·½ cube
        ËĴη½ the power of four, the fourth power
        n´Î·½ the power of n, the nth power
        ¿ª·½ evolution, extraction
        ¶þ´Î·½¸ù£¬Æ½·½¸ù square root
        Èý´Î·½¸ù£¬Á¢·½¸ù cube root
        ËĴη½¸ù the root of four, the fourth root
        n´Î·½¸ù the root of n, the nth root
        ¼¯ºÏ aggregate
        ÔªËØ element
        ¿Õ¼¯ void
        ×Ó¼¯ subset
        ½»¼¯ intersection
        ²¢¼¯ union
        ²¹¼¯ complement
        Ó³Éä mapping
        º¯Êý function
        ¶¨ÒåÓò domain, field of definition
        ÖµÓò range
        ³£Á¿ constant
        ±äÁ¿ variable
        µ¥µ÷ÐÔ monotonicity
        ÆæÅ¼ÐÔ parity
        ÖÜÆÚÐÔ periodicity
        Í¼Ïó image
        ÊýÁУ¬¼¶Êý series
        Î¢»ý·Ö calculus
        Î¢·Ö differential
        µ¼Êý derivative
        ¼«ÏÞ limit
        ÎÞÇî´ó infinite(a.) infinity(n.)
        ÎÞÇîС infinitesimal
        »ý·Ö integral
        ¶¨»ý·Ö definite integral
        ²»¶¨»ý·Ö indefinite integral
        ÓÐÀíÊý rational number
        ÎÞÀíÊý irrational number
        ÊµÊý real number
        ÐéÊý imaginary number
        ¸´Êý complex number
        ¾ØÕó matrix
        ÐÐÁÐʽ determinant
        ¼¸ºÎ geometry
        µã point
        Ïß line
        Ãæ plane
        Ìå solid
        Ïß¶Î segment
        ÉäÏß radial
        Æ½ÐÐ parallel
        Ïཻ intersect
        ½Ç angle
        ½Ç¶È degree
        »¡¶È radian
        Èñ½Ç acute angle
        Ö±½Ç right angle
        ¶Û½Ç obtuse angle
        Æ½½Ç straight angle
        ÖÜ½Ç perigon
        µ× base
        ±ß side
        ¸ß height
        Èý½ÇÐÎ triangle
        Èñ½ÇÈý½ÇÐÎ acute triangle
        Ö±½ÇÈý½ÇÐÎ right triangle
        Ö±½Ç±ß leg
        Ð±±ß hypotenuse
        ¹´¹É¶¨Àí Pythagorean theorem
        ¶Û½ÇÈý½ÇÐÎ obtuse triangle
        ²»µÈ±ßÈý½ÇÐÎ scalene triangle
        µÈÑüÈý½ÇÐÎ isosceles triangle
        µÈ±ßÈý½ÇÐÎ equilateral triangle
        ËıßÐÎ quadrilateral
        Æ½ÐÐËıßÐÎ parallelogram
        ¾ØÐÎ rectangle
        ³¤ length
        ¿í width
        ÁâÐÎ rhomb, rhombus, rhombi(pl.), diamond
        Õý·½ÐÎ square
        ÌÝÐÎ trapezoid
        Ö±½ÇÌÝÐÎ right trapezoid
        µÈÑüÌÝÐÎ isosceles trapezoid
        Îå±ßÐÎ pentagon
        Áù±ßÐÎ hexagon
        Æß±ßÐÎ heptagon
        °Ë±ßÐÎ octagon
        ¾Å±ßÐÎ enneagon
        Ê®±ßÐÎ decagon
        Ê®Ò»±ßÐÎ hendecagon
        Ê®¶þ±ßÐÎ dodecagon
        ¶à±ßÐÎ polygon
        Õý¶à±ßÐÎ equilateral polygon
        Ô² circle
        Ô²ÐÄ centre(BrE), center(AmE)
        °ë¾¶ radius
        Ö±¾¶ diameter
        Ô²ÖÜÂÊ pi
        »¡ arc
        °ëÔ² semicircle
        ÉÈÐÎ sector
        »· ring
        ÍÖÔ² ellipse
        Ô²ÖÜ circumference
        Öܳ¤ perimeter
        Ãæ»ý area
        ¹ì¼£ locus, loca(pl.)
        ÏàËÆ similar
        È«µÈ congruent
        ËÄÃæÌå tetrahedron
        ÎåÃæÌå pentahedron
        ÁùÃæÌå hexahedron
        Æ½ÐÐÁùÃæÌå parallelepiped
        Á¢·½Ìå cube
        ÆßÃæÌå heptahedron
        °ËÃæÌå octahedron
        ¾ÅÃæÌå enneahedron
        Ê®ÃæÌå decahedron
        Ê®Ò»ÃæÌå hendecahedron
        Ê®¶þÃæÌå dodecahedron
        ¶þÊ®ÃæÌå icosahedron
        ¶àÃæÌå polyhedron
        Àâ×¶ pyramid
        ÀâÖù prism
        Àą̂ frustum of a prism
        Ðýת rotation
        Öá axis
        Ô²×¶ cone
        Ô²Öù cylinder
        Ô²Ì¨ frustum of a cone
        Çò sphere
        °ëÇò hemisphere
        µ×Ãæ undersurface
        ±íÃæ»ý surface area
        Ìå»ý volume
        ¿Õ¼ä space
        ×ø±êϵ coordinates
        ×ø±êÖá x-axis, y-axis, z-axis
        ºá×ø±ê x-coordinate
        ×Ý×ø±ê y-coordinate
        Ô­µã origin
        Ë«ÇúÏß hyperbola
        Å×ÎïÏß parabola
        Èý½Ç trigonometry
        ÕýÏÒ sine
        ÓàÏÒ cosine
        ÕýÇÐ tangent
        ÓàÇÐ cotangent
        Õý¸î secant
        Óà¸î cosecant
        ·´ÕýÏÒ arc sine
        ·´ÓàÏÒ arc cosine
        ·´ÕýÇÐ arc tangent
        ·´ÓàÇÐ arc cotangent
        ·´Õý¸î arc secant
        ·´Óà¸î arc cosecant
        Ïàλ phase
        ÖÜÆÚ period
        Õñ·ù amplitude
        ÄÚÐÄ incentre(BrE), incenter(AmE)
        ÍâÐÄ excentre(BrE), excenter(AmE)
        ÅÔÐÄ escentre(BrE), escenter(AmE)
        ´¹ÐÄ orthocentre(BrE), orthocenter(AmE)
        ÖØÐÄ barycentre(BrE), barycenter(AmE)
        ÄÚÇÐÔ² inscribed circle
        ÍâÇÐÔ² circumcircle
        Í³¼Æ statistics
        Æ½¾ùÊý average
        ¼ÓȨƽ¾ùÊý weighted average
        ·½²î variance
        ±ê×¼²î root-mean-square deviation, standard deviation
        ±ÈÀý propotion
        °Ù·Ö±È percent
        °Ù·Öµã percentage
        °Ù·ÖλÊý percentile
        ÅÅÁÐ permutation
        ×éºÏ combination
        ¸ÅÂÊ£¬»òÈ»ÂÊ probability
        ·Ö²¼ distribution
        Õý̬·Ö²¼ normal distribution
        ·ÇÕý̬·Ö²¼ abnormal distribution
        Í¼±í graph
        ÌõÐÎͳ¼ÆÍ¼ bar graph
        ÖùÐÎͳ¼ÆÍ¼ histogram
        ÕÛÏßͳ¼ÆÍ¼ broken line graph
        ÇúÏßͳ¼ÆÍ¼ curve diagram
        ÉÈÐÎͳ¼ÆÍ¼ pie diagram
2Â¥2006-09-19 14:00:26
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