整理版numberical1(中文)

数学术语中英对照代数ALGEBRA1. 数论natural number 自然数positive number 正数negative number 负数odd integer, oddnumber 奇数even integer, even number 偶数integer, whole number 整数positivewhole number 正整数negative whole number 负整数consecutive number 连续整数realnumber, rational number 实数,有理数irrational（number）无理数inverse 倒数compositenumber 合数e.g. 4,6,8,9,10,12,14,15… prime number 质数e.g.2,3,5,7,11,13,15…reciprocal 倒数common divisor 公约数multiple 倍数(minimum) common multiple (最小)公倍数(prime) factor (质)因子common factor 公因子ordinary scale, decimalscale 十进制nonnegative 非负的tens 十位units 个位mode 众数mean平均数median中值commonratio 公比2. 基本数学概念arithmetic mean 算术平均值weighted average 加权平均值geometric mean 几何平均数exponent指数，幂base 乘幂的底数,底边cube 立方数，立方体square root 平方根cube root 立方根common logarithm常用对数digit 数字constant 常数variable 变量inverse function 反函数complementaryfunction 余函数linear 一次的，线性的factorization 因式分解absolute value 绝对值，e.g.｜-32｜=32 round off 四舍五入数学3. 基本运算add，plus 加subtract 减difference 差multiply, times 乘product 积divide 除divisible 可被整除的divided evenly 被整除dividend 被除数，红利divisor 因子，除数，公约数quotient 商remainder 余数factorial 阶乘power 乘方radical sign, root sign 根号round to 四舍五入to the nearest 四舍五入4. 代数式，方程，不等式algebraic term 代数项like terms, similar terms 同类项numerical coefficient 数字系数literal coefficient 字母系数inequality 不等式triangle inequality三角不等式range 值域original equation 原方程equivalent equation 同解方程，等价方程linear equation 线性方程(e.g.5x+6=22)5. 分数，小数proper fraction 真分数improper fraction 假分数mixed number 带分数vulgarfraction，common fraction 普通分数simple fraction 简分数complex fraction 繁分数numerator 分子denominator 分母(least) common denominator （最小）公分母quarter四分之一decimal fraction 纯小数infinite decimal 无穷小数recurring decimal 循环小数tenths unit 十分位6.集合union 并集proper subset 真子集solution set 解集7. 数列arithmetic progression(sequence) 等差数列geometric progression(sequence) 等比数列8. 其它approximate 近似(anti)clockwise (逆) 顺时针方向cardinal 基数ordinal 序数directproportion 正比distinct 不同的estimation 估计，近似parentheses 括号proportion 比例permutation 排列combination 组合table 表格trigonometric function 三角函数unit 单位,位几何GEOMETRY1. 角alternate angle 内错角corresponding angle 同位角vertical angle 对顶角central angle圆心角interior angle 内角exterior angle 外角supplementary angles 补角complementaryangle 余角adjacent angle 邻角acute angle 锐角obtuse angle 钝角right angle 直角round angle 周角straight angle 平角included angle 夹角2. 三角形equilateral triangle 等边三角形scalene triangle 不等边三角形isosceles triangle 等腰三角形right triangle 直角三角形oblique 斜三角形inscribed triangle 内接三角形3. 收敛的平面图形，除三角形外semicircle 半圆concentric circles 同心圆quadrilateral 四边形pentagon 五边形hexagon六边形heptagon 七边形octagon 八边形nonagon 九边形decagon 十边形polygon 多边形parallelogram 平行四边形equilateral 等边形plane 平面square 正方形，平方rectangle 长方形regular polygon 正多边形rhombus 菱形trapezoid 梯形4. 其它平面图形arc 弧line, straight line 直线line segment 线段parallel lines 平行线segment of acircle 弧形5. 立体图形cube 立方体，立方数rectangular solid 长方体regular solid/regular polyhedron正多面体circular cylinder 圆柱体cone 圆锥sphere 球体solid 立体的6. 图形的附属概念plane geometry 平面几何trigonometry 三角学bisect 平分circumscribe 外切inscribe内切intersect 相交perpendicular 垂直Pythagorean theorem 勾股定理（毕达哥拉斯定理）congruent全等的multilateral 多边的altitude 高depth 深度side 边长circumference, perimeter周长radian 弧度surface area 表面积volume 体积arm 直角三角形的股cross section 横截面center of a circle 圆心chord 弦diameter 直径radius 半径angle bisector 角平分线diagonal 对角线化edge 棱face of a solid 立体的面hypotenuse 斜边included side 夹边leg三角形的直角边median（三角形的）中线base 底边，底数（e.g. 2的5次方，2就是底数）opposite 直角三角形中的对边midpoint 中点endpoint 端点vertex (复数形式vertices)顶点tangent 切线的transversal 截线intercept 截距7. 坐标coordinate system 坐标系rectangular coordinate 直角坐标系origin 原点abscissa 横坐标ordinate 纵坐标number line 数轴quadrant 象限slope 斜率complex plane 复平面。

----------------------------------------------------------共轭复数的几何意义：关于实轴对称
4. 复平面和复球面
z= 是复平面的无穷远点和复球面的极点
5. 复数序列的极限
设 zn 和 z0 分别是一个复数序列和复数，如果对于任意的 0 ，都存在一
个正整数 N ，使得当 n>N 时，有
zn z0 <
则称复数序列zn 的极限存在， z0 是zn 的极限，记为
lim
n
zn

z0
.
6. 例题
(1) 三角不等式
z1+z2 z1 + z2 -----------------------------------------------------------
复数(4/9/2019)
a jb . re j
a jb
a2
b e2
jtg1 b a
re j

r
a2 b2 , tg 1 b
a
----------------------------------------------------------a jb . re j
re j r cos jr sin a jb a r cos , b r sin
2. 复数的四则运算
a+jb c jd =a c+j b d
a+jbc jd =ac+jad+jbc+j2bd=ac bd j ad+bc
re j +pe j r cos p cos j rsin p sin

M main 主信道M master 主控M memory 存储器M mix 混频M moderate 适中的M music ⾳乐Mac manchester auto code 曼切斯特⾃动码MADI musical audio digital interface ⾳频数字接⼝Main 主要的，主线，主通道，电源MAG magnet 磁铁Magnetic tape 磁带Magnetic type recorder 磁带录⾳机Main 电源，主要的Major chord ⼤三和弦Make 接通，闭合Makeup 接通，选配Male 插头，插件MAN manual ⼿动的，⼿控Manifold technology （⾳箱）多歧管技术Manipulate 操作，键控MANP ⼿动穿插Manual ⼿动的，⼈⼯的，⼿册，说明书March 进⾏曲Margin （电平）余量Mark 标志，符号，标记Mash 压低，碾碎Masking 掩蔽Master 总⾳量控制，调⾳台，主盘，标准的，主的，总路MAR Matrix 矩阵，调⾳台矩阵（M），编组Match 匹配，适配，配对Matrix quad system 矩阵四声道⽴体声系统MAX maximum ，值MB megabytes 兆字节Mb/s megabytes per second 兆字节/秒MC manual control ⼿控，⼿动控制MCH multiple chorus 多路合唱MCR multiple cjhannel amplification reverberation多路混响增强MD mini disc 光磁盘唱机，⼩型录放唱盘MD moving coil 动圈式MDL modulation delay 调制延时MEAS measure 测量，范围，测试Measure 乐曲的，⼩节Meas edit ⼩结编辑MECH mechanism 机械装置MED medium 适中，中间（挡位）Medley 混合Mega bass 超重低⾳MEM memory 存储器，存储，记忆Member 部件，成员Menu 菜单，⽬录，表格MEQ mono equalizer 单声道均衡器Merge 合并，汇总，融合Meridian 顶点的，峰值Measure ⼩结Megaphone 喇叭筒Mel 美（⾳调单位）Menu 菜单，节⽬表Message 通信，联系Metal ⾦属（效果声）Metal tape ⾦属磁带Meter 电平表，表头，仪表Metronome 节拍器MF matched filter 匹配滤波器MF maveform 波形MF middle frequency 中频，中⾳MFL multiple flange 多层法兰（镶边）效果MFT multiplprogramming with a fixed number of tasks 任务数量固定的多通道程序设计MIC micro 微⽶MIC microphone 话筒，麦克风，传声器Michcho level 话筒混响电平Micro monitor amp 微⾳监听放⼤器MICROVERB microcomputer reverb 微处理机混响MID middle 中间的，中部的，中⾳，中频MIDI music instrument digital interface电⼦乐器数字接⼝MIN minimum 最⼩，最⼩值MIN minute 分钟MIND master integrated network device⼀体化络总装置Minitrim 微调Minitrue 微机调整Minor chord ⼩三和弦Mismatch 失配Mistermination 终端失配MIX 混合，⾳量⽐例调节Mixer 调⾳台，混⾳器MM moving magnet 动磁式MNTR monitor 监控器MNOS metallic nitrogen - oxide semiconductor⾦属氮氧化物半导体MO magneto optical 可抹可录型光盘MOC magnet oscillator circuit 主振荡电路MOD mode 状态，⽅式，模式MOD model 型号，样式，模型，典型的MOD modulation 调制Mode 状态，（乐曲的）调式Mode select ⽅式选择Mush 噪声⼲扰，分谐波Mush area 不良接收区Music ⾳乐，乐曲Music center ⾳乐中⼼，组合⾳响Music conductor ⾳乐控制器MUT mute 静⾳，哑⾳，噪声控制Muting 抑制，消除Multiple 复合的，多项的，多重的MV mean value 平均值MV multivibrator 多谐振荡器MW medium wave 中波MXE mono exciter 单声道激励器MXR mixer 混频器Name 名称，命名Natural ⾃然的，天然的，固有的Naught 零，⽆价值NC network controller 络控制器NC numberical control 数字控制NC needle chatter 唱针噪声Nazard 三倍⾳Near field 近场NEG negative 负，阴（极）NEMO 实况转播NEP noise equivalent power 噪声等效功率News ⼈声⼴播⾳响效果，新闻Next 下⼀个，唱⽚跳回下曲键NF NFB negative feedback 负反馈NG no go 不通，不⼯作NG noise generator 噪声发⽣器Ni-Cd nickel-cadmium 镍镉充电电池NICAM near instantaneous companded audio multiplex准瞬时压扩声⾳多路复⽤，电视丽⾳，数字多路伴⾳系统NIL 零点Noise 噪⾳Noise gate 噪声门，选通器Noise suppressor 噪声抑制器NOM nominal 标称的，额定的Non-direction 全向的，⽆指向性的Nonieme 九倍⾳NOP no operation ⽆操作指令NOR(NORM) normal 普通的，标准的，正常的，常规的NORM 平均值Normal frequency 简正（共振）频率Notch 触点Note 符号，注释，⾳调，⾳律，记录Notice 注意事项，简介NO number 数字，号码NR noise ratio 噪声⽐NR noise reduction 降噪，噪声消除NR number 数字，编号NAB national association of broadcasters国家⼴播⼯作者协会NTSC national television system committee（美国）国家电视系统委员会，正交平衡调幅制彩⾊电视制式Null 空位，⽆效的NV noise variance 噪声⽅差NVT network virtual terminal 络虚拟终段MODEM modulator demodulator 调制解调器Moderato 中速Modifier 调节器Modify 修改，调试，摩机，限定Modulator 调制器Module 模块，组件，因数，程序⽚MOL maximum output level 输出电平MON monitor 监听，监视器MONI 监听，调⾳师Monkey chatter 串⾳，邻频⼲扰，交叉失真Mono 单声道，单⼀Monopit 单声变调Motor cue 换机信号，切换信号MOS metal-oxide semiconductor ⾦属氧化物半导体Motor 马达，电机Movie theater 影剧院Moviola 声画剪辑机Moving-iron loudspeaker ⾆簧扬声器MPEG motion picture coding experts group活动图像编码专家组，数字声像信息压缩标准MPF master pre feed 主控前馈送MPH multiple phaser 多级移相器MPO maximum power output 输出功率MPO music power output ⾳乐输出功率MPR master pre return 主控前返回MPS main power switch 主电源开关MPS manual phase shifter ⼿控相移器MPS microphone power supply 话筒电源MPS microprocessor system 多⽤途取样系统MPX multiplex 多路传输，多次重复使⽤，多路转换，复合MPX multiplexer 多路转换器，多路调制器MPX VCO 多路解调压控振荡MQSS music quick select system 快速⾳乐选择系统MR memory read 存储器读出MS manual search ⼿动检索MS middle side ⼀种迭合录⾳技术MS(MSEC) millisecond 毫秒MSSS multi space ound system 多维空间声系统MST(MSTR) master 主控MSW microswitch 微动开关MT multi track 多轨MTD multiple delay 多次延时MTR magnetic tape redorder 磁带记录器MTR micro-wave transmission 微波传输MTR motor 电动机MTS multi-channel television sound 多声道电视伴⾳MTV music TV ⾳乐电视（节⽬）MUF maximum usable frequency 可⽤频率MULT multiplier 倍增器，光电倍增管Multi 并联的，多路系统Multidimention control 声场展宽控制，多维控制Multiband 多频段Multi-echo 多重回声Multi plex 多路传声Multitap 转接，（多插头）插座Multiple channel 多通道Multiple effects 综合效果处理装置Multiple jack 多眼插座Multisound 原始⾳⾊MUPO maximum undistorted power output不失真输出功率MUSE multiple sub-Nyquist sompling encoding多重奈奎斯特取样编码MIDI 格式⽂件MIDI 信息，全过程。

CC批注 [KZ1]: (800*0.9)/(1000*0.3批注 [KZ2]: (0.9-0.3)-(1.2-1.0)=0.4billions 400,000,000批注 [KZ3]: 3.5/2.1*3.5=5.83Bentrim Outsourcing – figures last year (table)DB (278*13+382*6+279*4+148*7+298*3)/(13+6+4+7+3)=271Commnet and Intercall (bar)EB3. 德国Commnet用户占Commnet和Intercall手机用户总数的百分比大约是多少？A. 10%B. 11%C. 12%D. 13%E.以上都不是4. 意大利手机用户占Commnet和Intercall手机用户总数的百分比大约是多少？A. 12%B. 14%C. 16%D. 18%E.以上都不是5. Intercall用户通话时间（以分钟计）平均是Commnet用户的两倍。

Intercall：Commnet网络交通的比例是多少？A. 1:3B. 1:2C. 2:1D. 3:1E.以上都不是Journey time Litden to Fellip (line)CBEBAGreenco Subsidiaries1F 2B 3E (3/7.2)-(1.6/4.6)=6.88%E Cannot sayB 2/20+0.2/25ADepartmental Time Usage (table)7 E 8 E 9 AEDemographic and Infrastructure Information (UK, Brazil, India)BDDCECComputer Superstore (table)Compoil SubsidiariesDEE4. Which industry Sector in which year generated the greatest Operating Profit per company?A. Exploration in 1992B. Natural gas in 1992C. Petrochemicals in 1992D. Exploration in 1998E. Natural gas in 1998F. Petrochemicals in 1998D (2.3+4.5+6.7)/(32+62+50)*1000*100000=93,750,000D (1.5/50-0.8/32)*1000*1000000=5,000,000A 2.99% 6.7*(1+r)^6=8Company Figure at the end of the current financial yearDBAEZone 5 Assembly Line – Report1. If all staff were required to work on assembly line A for cars, approximately how many cars would be produced a day if staff from other lines are only required to work their normal daily hours?A 150B 220C 290D 360E 4302. Considering the hours required in producing a vehicle, and assuming that overall production cost per hour is £240, which vehicle type proves the most profitable for the company?A CarsB VansC LGVD AgriculturalE Off-Road3. How many more workers does the assembly line which failed to produce its target amount of vehicles require to meet its target?A. 11B. 15C.19D.23E.27Yearly Income1. Other income is expected to drop by 70% in Year 3 and exceptional costs are predicted to double. If turnover changes as from Year 1 to Year 2, and cost of sales and overheads remain as for Year 2, what will the percentage change be from Year 1 to Year 3 in earnings before income tax?A. A decline of 55%B. A decline of 17%C. A decline of 7.2%D. An increase of 3.8%E. An increase of 11.3%2. If the tax bill is 35% and the trends for Year 1 to Year 2 continue into Year 3, what will the tax bill be in Year3 in millions?A. 3.42B. 3.43C. 3.61D. 3.76E. 3.943. If cost of sales, overheads, other income and earnings before income tax changed between Year 0 to Year 1 at the same rates as from Year 1 to Year 2, and if there were no exceptional costs in Year 0,what was the turnover in Year 0 in millions?A. 41.5B. 49.5C. 49.9D. 51.2E. 63.14. If overheads and earnings before income tax change by the same percentage as between Year 1 and Year 2, while all of the other costs and income remained the same as in Year 2, what will the approximate turnover be in Year 3 (in 000s)?A.51,240B.52,180C.53,380D.54,270E. 55,210World Fossil Fuel Regulation1. At the continued rate of extraction, in how many years is the coal from the Folen Mine likely to run out?A 1.5 yrsB 3 yrsC 4.5 yrsD 6 yrsE 7.5 yrs2. If there are 22.36 million homes in the UK, approximately how much money in total do UK households pay for their electricity per year? Assume 365 days in a year.A £850,000B £2.94millionC £ 8 millionD £652 millionE £2,938 million3. What is the total number of units (in millions) of electricity produced each year based on the current extraction rates of coal from all mines combined?A 1.05 millionB 4.29millionC 7.87 millionD 8.2 millionE 11.9 million4. Which mine can produce the greatest amount of units of electricity before it runs out of coal?A. FolenB. DirmeC. IltD. RykenE. All othersUK Census Report (bar & line)1 which region has the greatest concentration of individuals per house (state owned and private)?A NorthernB MidlandC SouthernD EasternE Western2. 哪个region 的annual income 最多A NorthernB MidlandC SouthernD EasternE Western3. 房价是160000，从southern开始每个增加10%，问哪个地区house的总价值最高。