Simplified Chinese characters (简化字; jiǎnhuàzì) are standardized Chinese characters used in Mainland China, Malaysia, and Singapore, as prescribed by the Table of General Standard Chinese Characters. Along with traditional Chinese characters, they are one of the two standard character sets of the contemporary Chinese written language. The government of the People's Republic of China in mainland China has promoted them for use in printing since the 1950s and 1960s to encourage literacy. They are officially used in the People's Republic of China and Singapore, while traditional Chinese characters are used in Hong Kong, Macau, the Republic of China (Taiwan) as well as South Korea to a certain extent, and occasionally in the Chinese community of Malaysia and Singapore.
Simplified Chinese characters may be referred to by their official name above or colloquially 简体字; jiǎntǐzì. In its broadest sense, the latter term refers to all characters that have undergone simplifications of character "structure" or "body", some of which have existed for millennia alongside regular, more complicated forms. On the other hand, the official name refers to the modern systematically simplified character set, which (as stated by then-Chairman Mao Zedong in 1952) includes not only structural simplification but also substantial reduction in the total number of standardized Chinese characters.Simplified character forms were created by reducing the number of strokes and simplifying the forms of a sizable proportion of Chinese characters. Some simplifications were based on popular cursive forms embodying graphic or phonetic simplifications of the traditional forms. Some characters were simplified by applying regular rules, for example, by replacing all occurrences of a certain component with a simplified version of the component. Variant characters with the same pronunciation and identical meaning were reduced to a single standardized character, usually the simplest amongst all variants in form. Finally, many characters were left untouched by simplification and are thus identical between the traditional and simplified Chinese orthographies.
A second round of simplifications was promulgated in 1977, but was later retracted in 1986 for a variety of reasons, largely due to the confusion caused and the unpopularity of the second round simplifications.In August 2009, the PRC began collecting public comments for a modified list of simplified characters. The new Table of General Standard Chinese Characters consisting of 8,105 (simplified and unchanged) characters was officially implemented for use by the State Council of the People's Republic of China on June 5, 2013.
Homework Statement
sqrt((tcost)^2+(-tsint)^2
Homework Equations
The Attempt at a Solution
pulled out the sin^2t+cos^2t
added the two t^2
took the sqrt of
t*sqrt(2)
Homework Statement
This isn't really a problem at all. Have been working on some problems in Mary L Boas' textbook with some difficulty, but I have managed to solve the majority of the questions eventually. However, I've been stumped at how to arrive at the precise answers quoted in the book...
Homework Statement
let A=B+C where B and C are nxn matrices such that C^{2} = 0 and BC=CB show that for p>0, A^{p+1} = B^{p}[B+(p+1)C]I started trying to simplify both sides,
(B+C)^{p+1} = B^{p+1} + B^{p}C(p+1)
wanted to get rid of p so multiplied both sides by C
which gives
C(B+C)^{p+1}...
Homework Statement
√8/3
Homework Equations
none but there can't be any radicals in the denominator
The Attempt at a Solution
=√8/√3=2√2/√3... what do i do now.. I can't have a radical in the denominator
I am having problems understanding this. Could someone explain how to arrive at the answer for this problem . (-5/2)(x)(x+3)^(-3/2) + (5)(x+3)^(-1/2) Thank you
It says to factor and simplify. Express the answer as a fraction without negative exponents.This is where I get to...
Homework Statement
A student throws a ball downward at a velocity of 8.0m/s from a height of 25m. How long until it hits the ground? What is the velocity of the ball as it hits the ground.
Homework Equations
What is thee formula when simplifying for T(time)?
The Attempt at a...
Fraction is:
\frac{1-e^{-x}}{1-e^{x}}
and it's meant to go to:
-e^{-x}
I can't make it look like it needs to. I tried splitting it up but that goes nowhere.
What other strategies are there for simplifying fractions like this?
Thanks for any help.
Hi, I'm new to this forum, so if there is anything wrong in this post please forgive me,
I'm not sure my post will be shown correctly, so I attached a doc file.
The question is
A lightly damped harmonic osillator, γ<<ω0, is driven at frequency ω.
1,
Find the frequency of the...
Homework Statement
show \frac{1}{(n-1)^2} - \frac{1}{n^2} about= \frac{2}{n^3}
n >> 1
Homework Equations
The Attempt at a Solution
The first thing I tried was to put the expression all into one term.
so I got \frac{-n^2 + 3n - 1}{n^3 - 2n^2 + n}
Unfortunately, I'm not sure where to go next...
Homework Statement
find the difference quotient and simply your answer.
f(t)=1/t, [f(t)-f(1)]/t-1, t doesn't equal 1
Homework Equations
the book says the answer is -1/t, t doesn't equal 1
The Attempt at a Solution
(1/t-1)/t-1
(1/t-t/t)/t-1
(-1t/t)/t-1
-1/t-1...
I have gotten this far:
Using cos(2θ) = 1-tan2θ / 1+tan2θ From a previous question:
Let θ= arctan(x):
cos(2θ) = 1-tan2(arctan(x)) / 1+tan2(arctan(x))
=1-x2 / 1+x2
Where x2 cannot equal 0 or a negative number
Have I done this in the right way and if so is this as far as I can...
can someone show how to simplify \frac{12x+9}{x} = x+9 so that it is in the quadratic form: x^2 -3x -9 = 0
multiplying both sides by x, subtracting both sides by 9 etc. . doesn't give me the quadratic.
\frac{\beta^\alpha \Gamma(\alpha + 1)}{\Gamma (\alpha) \beta^{\alpha+ 1}}
= \frac{\alpha \Gamma (\alpha)}{ \beta \Gamma (\alpha)}
= \frac{\alpha}{ \beta}
This is the solution. In trying to get the middle expression out of the first I quickly end up with a mess. How should I approach this?
Hi.
I have done this question multiple times and come up with a different answer each time.
Q. 1.) Expand and simplify
(3x-5)^2+(x-4)^2-10(x+4)(x-1)
So far I've gotten
= -72x +1
= 1 - 72x
And some others. Any help would be great.
I have to simplify this equation and express it as a radical at the end.
16x^7 / y^4 and cube root everything.
I've tried expressing everything as exponents but it doesn't seem to get me to where i want to go. I attempted at factoring into two radicals with one containing a perfect...
I can't seem to figure out how to simplify this!
n(n+1)/2 + n+1
which they were able to get (n+1)(n+2)/2 by simplifying that
and this
n(n+1)(2n+6)/6 + (n+1)^2
and they were able to get (n+1)(n+1+1)(2(n+1)+1)/6 out of this one.
Any help is greatly appreciated.
Homework Statement
sec+csc/1+tan
The Attempt at a Solution
i tried simplifying it and the farthest i got was: 1/cos + 2/sin + cos/sin^2
im not sure that's even right
Homework Statement
I want to know the principle of weigh meter and how to make a "withdraw movement" from "pressing movement by a simple way
Homework Equations
The Attempt at a Solution
Homework Statement
Its all part of a show that question from an example paper that I'm doing. Apart from this part I have the answer. Just wondered if anyone could show me the substitution that I would have to make.
Starting from (\frac{sin3\gamma}{sin\gamma})^2, and ending up with...
Homework Statement
Simplify fully the following equation
Homework Equations
\frac{4x^{2}-6x}{4x^{2}-9}
The Attempt at a Solution
the 4x² cancel each other out and 3 goes into 6 and 9
so the answer is
\frac{-2x}{-3}
but that seems to easy for the penultinate question on a...
Homework Statement
F(A,B,C,D) = (sum of) m (2,3,5,7,11,13)
Design a two level network to implement the above sum of products:
Homework Equations
F(A,B,C,D) = (sum of) m (2,3,5,7,11,13)
The Attempt at a Solution
K-map
___Ab
CD|00..01..11..10
00|
01|1...1...1
11|1...1...1
10|
My...
Homework Statement
I need the first equation simplified, the second equation solved, and the third factored. I've been trying to solve these three forever today.
Homework Equations
1) 6+√3 ÷ 2-2√3 (those are radical signs)
2) √k+9-√k=√3 (the k+9 is all under the radical sign)
3)...
Homework Statement
Simplify and Solve the Following Trigonometric Equation
Homework Equations
\cos^2 x - 3\cos x - 2\sin x +2 =0
The Attempt at a Solution
I've changed the expression, but it doesn't seem any better...
I've got \frac{\cot x \cdot (\cos (x) -3)}{2}=1 - \csc x...
I was given the problem: "What minimum force is required to drag a carton of books across the floor if the force is applied at an angle of 45 degrees to the horizontal? Take the mass of the carton as 40 kg and the coefficient of friction as 0.60.
Free Body Diagram (Given by physics teacher)...
hey just wonderin if any1 could give me a hint as to the best method to prove the following trigonometric indentity:
sin^4x-cos^4x = 1 - 2cos^2x
i tried the side more complicated first...but can't seem to hav any luck...other then maing it more complicated!
umm the x's are meant to be...
I have a problem where I got the final answer:
1 1
- --------- - --------
(u - 1)^2 (u + 1)^2
which is correct, but the book further simplifies it to:
2(1 + u^2)
- -------------
(u^2 - 1)^2
I tried and tried, but couldn't figure out how to...
If you wanted to model a filter in an airflow using CFD, how would you go about it? I imagine that an exact model of a filter would be way too complex to model and take vast amounts of time to solve, so there must be some kind of simplification? I was thinking that maybe some known properties of...
I'm just looking through some work I did a while back and trying to simplify an expression,
epsilon_{0}epsilon_{r}=epsilon
is there an expression for
mu_{0}mu_{r}?
I have three math problems that I am unsure of how to do. could someone please help thanks.
\sqrt[3]{-8x^3y^3z^3}
({4xy^-1}/{16xy^2})
\sqrt{98}+\sqrt{2}
I have no formal training in set theory, and I need to simplify the following:
(A\cup B - A\cap B)\cup C - (A\cup B - A\cap B)\cap C
Preferably, it should somehow end up as:
A\cup (B\cup C - B\cap C) - A\cap (B\cup C - B\cap C)
I'm not getting this. Can someone show me how they got from this:
- T cos ( \theta ) + (T + \Delta T ) cos ( \theta + \Delta \theta ) =0
to below by dividing by \Delta x
\frac { d (T cos\theta)}{dx} = 0
Im just not getting it for some reason... The first term would be...
I have to find out how to make this simplification
2\pi \sqrt{ \frac {Ml^2+2Mr^2/5+m(l-r)^2/3} {(Ml+m(l-r)/2)g}} \approx 2\pi \sqrt{\frac{l}{g}(1+\frac{2r}{5l}-\frac{1m}{6M})}.
This is for a project I have to do, but I have never done any such simplifications before. I don't know which...
I have a function here...
r(t) ={6Sqrt[2]t, 3Exp[2t], 3Exp[-2t]}
I needed to find the norm of r'[t]... yet when Mathematica tries to simplify it, it can't do it with simplify, powerexpand[simplify[]], fullsimplify... and this function IS suppose to be able to simplify. I then started...
Ok I got an equation here...
2\sqrt {\frac{{(1 + 2t^4 )^2 }}{{t^6 }}}
is the equation (sorry for misleading title but its the same concept).
Now I was always under the assumption that the top square could be removed as long as you reduce the bottom to t^3 since t^3 squared is t^6 and that you...
Beyond the basics (mean, variance, distributions, simple test, regression, ...) statistics looks like a huge mess -to me- .
Any method has typically 10 variants and can be 'colored' in 10 flavors,
not to mention technicalities like missing data handling, binary data, ... and people's names...
hello
i have to simplify this :
sin(a)sin(b-c) + sin(b)sin(c-a) + sin(c)sin(a-b)
I did simplify it and I got it equal to zero. But my problem is, I did too many steps in order to do that. Does anyone have a shorter way to simplify that ??
thx!
(sin120+tan120) / (sin150+tan150)
I tried to simplify this, but it only gets more complicated. I converted the sin120 to sin 60, the sin150 to sin30. How can I make the tan 120 simpler, the rule sinQ/cosQ=tanQ is not useful because you end up with an angle for cos which is greater than 90 and...