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
Tan(15deg)/(1-Tan^2(15deg)
In my solution manual this is what they did...
2/2 * Tan(15deg)/(1-Tan^2(15deg)
= 1/2Tan(30deg)
Ok first off... I noticed they multiplyed by a fraction of one (2/2) which resulted in
2*tan(15) in the numerator... ( I did...
Homework Statement
The figure here shows four penguins that are being playfully pulled along very slippery (frictionless) ice by a curator. The masses of three penguins and the tension in two of the cords are m1 = 13 kg, m3 = 17 kg, m4 = 22 kg, T2 = 112 N, and T4 = 224 N. Find the penguin...
I have the following function to differentiate:
f(x) = x^\frac{4}{5} * (x-4)^2
My derivative is:
f'(x) = x^\frac{4}{5} * 2(x-4) + (x-4)^2 * (\frac{4}{5}) * x^\frac{-1}{5}
My calculator gives me:
f'(x) = \frac{2(x-4) * (7x-8)}{5x^\frac{1}{5}}
How does my expression simplify into...
Help simplifying an equation - URGENT, PLEASE!
Hello folks,
I'm trying to simplify the following equation:
V = (a(1+a^n)-Q(1+a))/((a^n)*(1+a))
I really need to eliminate the divisor.
Thanks in advance,
Estêvão
Homework Statement
Expand and Simplify 6(x-1)(x+2)-(1-x)(2+x)
Homework Equations
The answer in the book is 7x^2+7x-14
The Attempt at a Solution
I've tried several ways, but all of them give the wrong answer.
I'm not sure what to do with the negative in the middle. I know it...
I'm not seeing how you get 1/4k = (1/2)k(1/2)k(1/2)
I understand why you can factor out the (1/2). It's in each term of the sum.
http://i111.photobucket.com/albums/n149/camarolt4z28/Untitled-2.png?t=1297227186
I haven't really looked at this crap in four years.
Homework Statement
Find all solutions using Gauss-Jordan elimination:
[ 0 0 0 1 2 -1 l 2
1 2 0 0 1 -1 l 0
1 2 2 0 -1 1 l 2]
Homework Equations
Switching rows,
able to scale any row
able to add non zero multiple to row
The Attempt at a Solution
What I did was...
Homework Statement
I'm trying to understand an example in the book. They're simplifying the following expression:
S=z \oplus (x \oplus y)
=z'(xy'+x'y)+z(xy'+x'y)'
I don't get how they go to this from the above
=z'(xy'+x'y)+z(xy+x'y')
=xy'z'+x'yz'+xyz+x'y'z
Homework Equations
DeMorgan law...
Homework Statement
\sum\limits_{j=0}^\infty \binom{j}{r} p^r (1-p)^{j-r} (1-q) q^j
where p and q are between 0 and 1, and r is a positive integer
Homework Equations
The Attempt at a Solution
since \binom{j}{r}=\binom{j}{j-r}
we can rewrite the summation as
(1-q)\sum\limits_{j=0}^\infty...
Homework Statement
[PLAIN]http://img802.imageshack.us/img802/9172/qns33.png
Simplifying the circuit?
Also find the power dissipated in the circuit?
Homework Equations
P=I^2R
V=IR
The Attempt at a Solution
I tired to simply the diagonal by making it parallel with...
Homework Statement
I am solving some convolutions, and i have come to these solutions.
a)\sum2k, summing from -\infty to -1
b)\sum2k, summing from -\infty to n , where n <=-1Homework Equations
the geometric series summation formula, from 0 to N
\sumak = 1-aN+1 / 1-a , summing from 0 to N
The...
Homework Statement
trying to simplify (using dirac notation) QM:
<E| (QH - HQ) |E>
using H|E> = E|E>
Homework Equations
The Attempt at a Solution
the textbook says that it simplifies to (E-E) <E|Q|E> = 0 but i can't see how :S
Homework Statement
Find the derivative:
F(x)= cos (x)* sin(5x^2 +7)
Homework Equations
The Attempt at a Solution
I used the power rule and the chain rule and wound up with this: but i don't know how to simplify it...
= -sin(x)*sin(5x^2+7)+(10x)*(cos x)*(cos (5x^2+7)
Homework Statement
√(3+2√(2)) can be simplified into a fairly simple sum of two number: one is an integer and one is an irrational number . Find them and show you are correct by squaring both sides of the "equation"
Homework Equations
The Attempt at a Solution
The Attempt at a Solution
I'm attempting to solve a question with a few unknowns, and I managed to get it to the following form:
tanx(1-cosx)=0.25
I just can't seem to simplify it further and thus solve.. Any ideas?
Homework Statement
In D3, simplify f = u R u R
Homework Equations
The Attempt at a Solution
u(Ru)R=(uR)uR
u(uR^2)R=(uR)u2
uR=R
I am doing this for independent study, and the website I am using says the solution is 1=R
I just got started on dihedral...
Hey, I need some help with simplifying these fractions.
(3x-6)/(x^2-3x+2) - (x^2-1)/(x^2-4x+4)
Im not quite sure what to do with the denominators. Am I supposed to change them to special forms? What is the process of making these a single fraction?
Thanks in advance.
i have two boolean expressions that I'm simply stuck on. (any variable with the ' mark means NOT). i used http://hopper.unco.edu/KARNAUGH1.1/Function.html" to check my answers for both..apparently they are both supposed to equal 1. i have tried solving the expressions multiple times, and each...
Homework Statement
we know dV/dt = a from the definition of acceleration
multiplying by sides by V, velocity yields
V dV/dt = aV
Left side can be reduced to d/dt(V^2/2)
so to be more clear, just looking at the left side
V dV/dt = d/dt( V^2/2)
I want to know what calculus topic...
Homework Statement
Consider the following code fragment.
for i=1 to n/2 do
for j=i to n-i do
for k=1 to j do
output ‘‘foobar’’
Assume n is even. Let T(n) denote the number of times ‘foobar’ is printed as a
function of n.
(a) Express T(n) as three nested summations.
(b) Simplify the...
Homework Statement
Hey guys, having a trig brain fart here, can you point me in the direction of simplifying:
\frac{6cos\vartheta}{2sin\vartheta-3cos\vartheta}
or is it as simplified as it gets? \
Homework Equations
Thought about using double angle formula
The Attempt at a...
Homework Statement
Attached is the problem, I don't like the math editor used on this site, so its a pdf. The only real problem I have is how to is how do you square a problem like square root of x over 2x?
Homework Statement
Express in simplest form.
1/2 – 4/d divide by 1/d + 3/2d
Homework Equations
LCF
The Attempt at a Solution
I know the LCD is 2d. But would you multiply this to the equation
Homework Statement
Ok so I'm trying to simplify this
(x-5)/(x+1) which is apparently equal to 1 - 6/(x+1) but I don't see how there equal like I don't know what was done to this (x-5)/(x+1) to get that 1 - 6/(x+1). I feel kind of dumb as fel as if I should know this but I can't make...
Homework Statement
http://img96.imageshack.us/img96/9288/lagrangiansimplifcation.jpg
[PLAIN]"[URL
If you require more info in the derivation, it's on page 1:
http://www.ph.qmul.ac.uk/~phy304/Homework/HW3sol.pdf
Homework Equations
L = T - V
The Attempt at a Solution
I...
Homework Statement
F= A'C+A'B+AB'C+BC
Express the function as sum of minterms, and find the ninimal sum of products.
Homework Equations
The Attempt at a Solution
How do I do this? I really don't know. I know it is easy though. Any help is appreciated!
Ok, I have an Expression which is attached and it needs simplifying.
What I have done is got 12logx
But I don't think this is correct.
Another possible place I got to is logx4/logx1/3
Which one is it?
Homework Statement
Describe the shape of each level curve for the following function:
z= (5x^2+y^2)^.5-2x
Homework Equations
I would like to prove that the curves are elliptical by setting z as a constnat and algebraically putting the equation in standard for for an ellipse...
I'm finding the percent error in a S.R. problem and getting a really small number. How can I find the exact percentage? This is the result that needs to be simplified:
6.7x10^(-16) / (1 + 6.7x10^(-16))
If I do an order of magnitude approximation, then the bottom becomes 1, but that will...
-This is what I need to simplify.
π((14-2x)/π)2
-This is what I got.
(196+4x)/(π2)
-This is the solution.
(196-56x+4x2)/π
Really unsure of where that -56x is coming from in the solution.
Homework Statement
Sketch the graph of x ^ (4/9) * e ^ (-x)
Homework Equations
None.
The Attempt at a Solution
My y' = -x ^ (4/9) * e ^ (-x) ( 1 - 4/9x ^ 1/9). I keep on getting a reaaally long derivative for y'' and thus cannot place it on my sign table. Could someone please...
EDIT: My apologies if I started this thread in the wrong forum!
Homework Statement
Z = P.Q.R + P.R
Where
. = AND
+ = OR
~ = NOTHomework Equations
(Commutative Law)
A+B = B+A, A.B = B.A
(Associate Law)
(A+B)+C = A+(B+C), (A.B).C = A.(B.C)
(Distributive Law)
A(B+C) = AB+AC...
Homework Statement
I'll give an example.
Ex: x'=[-1/2 1; -1 -1/2]x.
Homework Equations
Assume a solution of the form x=$ert for these type of problems.
Euler's formula: ebi = cosb + isinb
The Attempt at a Solution
|A-rI|=0
---> r= -1/2 +/- i
---> x= e-t/2 ( C1(cost...
1. ex*eh+e-x*e-h -ex -e-x/ 2h
2. This should simplify to (e^x-e^-x)/2. This is lim (h--->0) so in the end the h should become 0 (I think!)
3. I have absolutely no idea what to do!
Homework Statement
Simplify (\log_a{b})(\log_b{c})(\log_c{d}) in terms of \log_x{y}
Homework Equations
The Attempt at a Solution
well , the furthest i can reach is
\frac{\log_xd}{\log_xa} , how do i express in terms of \log_x{y}
Homework Statement
(a) lim_{n\rightarrow\infty} (\sqrt{(n + a)(n + b)} - n) where a, b > 0
(b)lim _{n\rightarrow\infty} (n!)1/n2
Homework Equations
The Attempt at a Solution
I tried to use Limit theorems but nothing happened.
Homework Statement
(2 CIS (pi/6))*(3 CIS (pi/12))
Homework Equations
Also what is CIS? I believe it's Cos+i*sin but how do you use it?
The Attempt at a Solution
i simplified it to
6 CIS (pi/12)
How do i turn it into cartesian?
Hi all...not sure if this should be here, perhaps in the precalc section =S but here goes anyways...
1. So the question asks to find the derivative of y = sqrt(arctan x), then to simplify wherever possible...my issue is not with the differentiation, but rather with the simplifying...oh and we...
Could someone please expain where I went wrong with this?
expand and simplify the following:
1/8(6x - 12y) + 1/2(3x + 2y)
I expanded the brackets like this:
0.75x - 1.5y + 1.5x + y
and simplified like this:
2.25x - 0.5y
But the right answer is: 2.25x - 2.5y
I got the following 2 questions in a recent maths test. Can anyone please explain the correct way to simplify these expressions?
4u to the power of 3 v to the power of 6 / 8u to the power of 2 v to the power of 3
3x to the power of 6 y to the power of 5 z to the power of 3 / 9x to the...
Homework Statement
I have a quiz tomorrow and i know a problem like this is going to be on it and i need to figure out the process
Homework Equations
the expression is: (2x^2-3x+1)(4)(3x+2)^3(3)+(3x+2)^4(4x-3)
The Attempt at a Solution
i know the final answer(3x+2)^3(36x^2-37x+6)...
Homework Statement
See attachment!
2. The attempt at a solution
I multiplied by the LCD of (x+h-1)(x-1) and got 6h/h(x+h-1)(x-1) . I then got 6h/h^2+2hx-2h . However, my answer seems to be wrong. What is my error?
So I'm in the process of solving the following differential equation:
\frac{dy}{dx}=2y^2 +xy^2
with initial condition y(0)=1
I worked it out until I got to the following equation:
y^2 +y =x^2 -4
So now my problem is that I can't isolate y as a function of x in order to move on...