有少少英中F.2Maths的問題

Accumulated erro: if the number x had an error so the other number y will also have an error, the error are accumulated so it a accumulated error.

degree of accuracy: The degree of accuracy is half a unit each side of the unit of measure (e.g. you want to measure 1cm, from 7.5 the answer will be 8.5)

relative error: Gives an indication of how good a measurement is relative to the
size of the thing being measured.

Percentage error:
show the error as a percent of the exact value ... so divide by the exact value and make it a percentage:

Maximum absolute error: The highest point over the entire domain of a function or relation.

maximum error: The maximum error of the estimate is denoted by E and is one-half the width of the confidence interval.

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以下一段打了一個小時啦((淚
Yahoo 知識都有好多關於以下topic 既野...((可能relative error 一個一段野咁
如果唔明既可以search 下既
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1.degree of accuracy:
其實姐係你成日係書個到睇到既correct to the nearest ____ (degree,1dp,hundred etc.)
for example:
12345=10000 (corr. to 1 sig. fig.) (一位有效數字)
13.56=13.6 (corr. to 1 dp) (一個小數點)
----依d我諗你會明既，因為小學都用過。-----
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2. Max. error and Max. absolute error:
2者是相同的。
中文是最大(絕對)誤差
Max. error = (1/2) * (difference between two adjacent measurement unit).
例如：一把直尺，每一格相差0.1cm (or 1mm)
姐係： Max. error=(1/2)*(1mm) =0.5mm
又或者咁講：
一支筆既長度係10cm (correct to the nearest mm)
咁姐係話Max Error=(1/2)*(1mm)=0.5mm
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3. Range of the actual value (我諗你都用到)
Lower limit 同upper limit
lower limit= measured value - max.error (Max.error就係以上個個)
Upper limit= measured value +max. error
搵反支筆做例子:
10cm既一支筆，可能你用ruler 個陣唔係真係10cm，可能係2個刻度之間
咁依支筆既長度
upper limit=100mm+0.5mm=105mm
lower limit = 100mm-0.5mm=95mm
咁有咩用既呢？
係咁既，無論支筆真實幾長都好
都係一個range入面
個range 就係 lower limit ≦x(支筆真實長度)＜upper limit
(姐係95mm<=x＜105mm) (注意符號<=及＜)
(<=為少於或等於)
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4.accumlated error:
依個係最煩既...最多Step
follow 以下step
1.find out max.error
2.find out measured value, upper and lower limit
3.upper limit - measured value
4. measured value - lower limit
5. compare the difference in step 3 and 4
because XXX(bigger one) > xxx(smaller one)
therefore, the accumulated error is XXX.
E.g. 一個邊長為5cm 既正方形 (correct to the nearest cm)
(step 1)
Max error= 1/2*(1cm)=0.5cm
(step 2)
upper limit =(measured value+max.error)^2=(5+0.5)^2=30.25cm^2
lower limit=(measured value-max.error)^2=(5-0.5)^2=20.25cm^2
measured value= 5*5=25cm^2
(step3 and 4)
upper limit - measured value=5.25
measured value - lower limit=4.75
(step5)
because 5.25>4.75
therefore the accumulated error=5.25.
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