数学公式的英文表达
<P>数学公式的英文表达<BR>Pronunciation of mathematical expressions<BR>The pronunciations of the most common mathematical expressions are given in the list<BR>below. In general, the shortest versions are preferred (unless greater precision is necessary).<BR>1. Logic<BR>9 there exists<BR>8 for all<BR>p ) q p implies q / if p, then q<BR>p , q p if and only if q /p is equivalent to q / p and q are equivalent<BR>2. Sets<BR>x 2 A x belongs to A / x is an element (or a member) of A<BR>x =2 A x does not belong to A / x is not an element (or a member) of A<BR>A ½ B A is contained in B / A is a subset of B<BR>A æ B A contains B / B is a subset of A<BR>A \ B A cap B / A meet B / A intersection B<BR>A [ B A cup B / A join B / A union B<BR>A n B A minus B / the diÆerence between A and B<BR>A £ B A cross B / the cartesian product of A and B<BR>3. Real numbers<BR>x + 1 x plus one<BR>x ° 1 x minus one<BR>x ß 1 x plus or minus one<BR>xy xy / x multiplied by y<BR>(x ° y)(x + y) x minus y, x plus y<BR>x<BR>y<BR>x over y<BR>= the equals sign<BR>x = 5 x equals 5 / x is equal to 5<BR>x 6= 5 x (is) not equal to 5<BR>1<BR>x ¥ y x is equivalent to (or identical with) y<BR>x 6¥ y x is not equivalent to (or identical with) y<BR>x > y x is greater than y<BR>x ¸ y x is greater than or equal to y<BR>x < y x is less than y<BR>x · y x is less than or equal to y<BR>0 < x < 1 zero is less than x is less than 1<BR>0 · x · 1 zero is less than or equal to x is less than or equal to 1<BR>jxj mod x / modulus x<BR>x2 x squared / x (raised) to the power 2<BR>x3 x cubed<BR>x4 x to the fourth / x to the power four<BR>xn x to the nth / x to the power n<BR>x°n x to the (power) minus n<BR>px (square) root x / the square root of x<BR>3 px cube root (of) x<BR>4 px fourth root (of) x<BR>npx nth root (of) x<BR>(x + y)2 x plus y all squared<BR>³x<BR>y ¥2<BR>x over y all squared<BR>n! n factorial<BR>^x x hat<BR>¹x x bar<BR>~x x tilde<BR>xi xi / x subscript i / x su±x i / x sub i<BR>n Xi=1<BR>ai the sum from i equals one to n ai / the sum as i runs from 1 to n of the ai<BR>4. Linear algebra<BR>kxk the norm (or modulus) of x<BR>°°! OA OA / vector OA<BR>OA OA / the length of the segment OA<BR>AT A transpose / the transpose of A<BR>A°1 A inverse / the inverse of A<BR>2<BR>5. Functions<BR>f(x) fx / f of x / the function f of x<BR>f : S ! T a function f from S to T<BR>x 7! y x maps to y / x is sent (or mapped) to y<BR>f0(x) f prime x / f dash x / the (Ørst) derivative of f with respect to x<BR>f00(x) f double{prime x / f double{dash x / the second derivative of f with<BR>respect to x<BR>f000(x) f triple{prime x / f triple{dash x / the third derivative of f with respect<BR>to x<BR>f(4)(x) f four x / the fourth derivative of f with respect to x<BR>@f<BR>@x1<BR>the partial (derivative) of f with respect to x1<BR>@2f<BR>@x2<BR>1<BR>the second partial (derivative) of f with respect to x1<BR>Z 1<BR>0<BR>the integral from zero to inØnity<BR>lim<BR>x!0<BR>the limit as x approaches zero<BR>lim<BR>x!+0<BR>the limit as x approaches zero from above<BR>lim<BR>x!°0<BR>the limit as x approaches zero from below<BR>loge y log y to the base e / log to the base e of y / natural log (of) y<BR>ln y log y to the base e / log to the base e of y / natural log (of) y<BR>Individual mathematicians often have their own way of pronouncing mathematical expressions<BR>and in many cases there is no generally accepted \correct" pronunciation.<BR>Distinctions made in writing are often not made explicit in speech; thus the sounds fx may<BR>be interpreted as any of: fx, f(x), fx, FX, FX, °°! FX . The diÆerence is usually made clear<BR>by the context; it is only when confusion may occur, or where he/she wishes to emphasise<BR>the point, that the mathematician will use the longer forms: f multiplied by x, the function<BR>f of x, f subscript x, line FX, the length of the segment FX, vector FX.<BR>Similarly, a mathematician is unlikely to make any distinction in speech (except sometimes<BR>a diÆerence in intonation or length of pauses) between pairs such as the following:<BR>x + (y + z) and (x + y) + z<BR>pax + b and pax + b<BR>an ° 1 and an°1<BR>The primary reference has been David Hall with Tim Bowyer, Nucleus, English for Science<BR>and Technology, Mathematics, Longman 1980. Glen Anderson and Matti Vuorinen have<BR>given good comments and supplements.<BR></P> <P>好东西!谢谢!</P> 优秀 优秀 最早是我发的,嘿 谢谢! 谢谢分享! 好东西,借鉴了,谢谢这么有用的东西,谢谢了 这个不错啊 非常好。。。。。。。。。。。。。。。。。。。。
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