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 thenChairman 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.
This is the first time I am doing logic so the question is probably stupid, but could I just factorise (p∨t)∧[(r v¬r] or perhaps you cannot do that in Boolean algebra?
$$Re(e^{2iz}) = Re(\cos(2z)+i\sin(2z))=\cos(2z)$$$$e^{i^3} = e^{i}$$ $$\ln (\sqrt 3 + i)^3=\ln(2)+i(\dfrac {\pi}{6}+2k\pi)$$
Can't I simplify these more? Are they correct?
Final one:## (1+3i)^{\frac 1 2}##
Can I write in in term of ##\sin x## and ##\cos x## then use ##(\cos x+i\sin x)^n=\cos...
I know that ##∇(A⋅v)=(A⋅∇)⋅v+(v⋅∇)⋅A+v×(∇×A)+A×(∇×v)##
The third term ##v×(∇×A)## simplifies to ##v×B##. I'm just now sure how to "get rid" of the other terms. I tried checking for some vector identities but couldn't make any headways. Any guidance?
I'm trying to prove the statement ##n^2 + 1 < n!## for ##n \geq 4##. My proof by induction looks way too contrived. Is there a way to simplify it? Here's what I got.
For n = 4, ##n^2 + 1 = 17 < 4!##. So, the statement is true for n = 4. Now let's assume it's true for n = k, that is, ##k^2 + 1 <...
hi ! I'm having a lot of trouble simplifying my expression for one of my homework questions. I know someone asked about this homework problem already, but the answers didn't really help me figure out how to simplify it.. I really have no idea what steps to take, and I've even consulted all my...
Basically surface B is a cylinder, stretching in the y direction.
Surface C is a plane, going 45 degrees across the xy plane.
Drawing this visually it's self evident that the normal vector is
$$(1, 1, 0)/\sqrt 2$$
Using stokes we can integrate over the surface instead of the line.
$$\int A(r)...
Hi,
This is a pretty simple question, but I am new to Mathematica so I am not sure if I am missing something obvious.
Question: How do I make the expression ## e^{log(z)} ## return z?
Attempt:
I have used all of the following combinations and all of them return ## e^{log(z)}##. Are there any...
$\tiny{8.aux.27}$
Simplify the expression
$\dfrac{{\cos 2x\ }}{{\cos x{\sin x\ }\ }}
=\dfrac{{{\cos}^2 x{{\sin}^2 x\ }\ }}{{\cos x\ }{\sin x\ }}
=\dfrac{({\cos x}{\sin x})({\cos x}+{\sin x\ })}{{\cos x}{\sin x}}
=\cos x +\sin x$
ok spent an hour just to get this and still not sure
suggestions?
See attachment.
I don't understand the solution given by David Cohen. I am sure this is a shortcut explanation. I don't like shortcut explanations.
1. What in the problem indicates that x > 1?
2. What in the problem indicates that x < 2?
I don't know how to start with the factorization.
$$\frac{(1)^{2/9} + (3/2  \frac{i}{2} \sqrt{3})^{(1/3)}}{(1)^{2/9} (3/2  \frac{i}{2} \sqrt{3})^{(1/3)}}$$
Any hints would be nice. Thank you.
I'm a bit confused on the derivation above. I understand what the goal of the derivation is, as it derives Gauss's Law using the solid angle, but i was wondering if someone could kind of fill in the steps the author skipped and explain the use of the solid angle.
I tried to find logic behind how do we simplified the circuit as given for 2 hours and I unable to find any clue.
I can do it just by following rules but I am unable to get intuition.
I tried to make sense of it but how can we even make two points as one.
The following is the questions given. I solved the first one, which steps are shown below.
But I am not sure if this is how the question wants me to solve the problem. Would you tell me if the way I solved the problem is the proper way of simplifying the expression using euler's formula...
I could simplify the expressions in the numerator and denominator to (1+x^n)/(1+x) as they are in geometric series and I used the geometric sum formula to reduce it. Now for what value of n will it be a polynomial?
I do get the idea for some value of n the simplified numerator will contain the...
Hi all,
I'm new to Demorgan's theorem and hence am dumbfounded on how people actually simplify the equation by just looking at it. I was wondering if there are any tricks to doing so and I will appreciate it if someone can teach me.
In the example of this question, what I can only simply come...
By substitution I've solved that $$z_u = 0$$ (which is correct according to textbook)
which leads me to try find z by integrating
$$z = \int z_v \,(dv ?)$$
and I'm just stuck here. Dont know how to integrate that.
Solve the boundary value problem
Given
u_{t}=u_{xx}
u(0, t) = u(\pi ,t)=0
u(x, 0) = f(x)
f(x)=\left\{\begin{matrix}
x; 0 < x < \frac{\pi}{2}\\
\pix; \frac{\pi}{2} < x < \pi
\end{matrix}\right.
L is π  0=π
λ = α2 since 0 and α lead to trivial solutions
Let
u = XT
X{T}'={X}''T...
I see that when n is an even number, the product can be represented as ## \frac {2n} {(n+1)} ##. When n is an odd number, the denominator seems to be changing and I am not able to define an expression for it.
How should I go about solving this?
Thanks
four variables a,b,c,d
here is the equation: a+b+c+d+2(ab+ac+ad+bc+bd+cd)+4(abc+abd+acd+bcd)+8(abcd)
wondering if this can be simplified to something much smaller
f(x)=2xand g(x)=2^x
Find the composite function of fg(x)
fg(x)
=f(g(x))
=f(2^x)
=2(2^x)
I don’t understand how this in turn equals to 2^(x+1)
[Moderator's note: Moved from a technical forum and thus no template.]
Helping my daughter with her math and hit this one and not sure how to advise. All help welcome(x2y10)3 / (x4yz4)5
This one throws me off because I don't know how to deal with the z, as only on the right side of the divide
Hey, I have this chaotic system. It is a modified Hamiltonian Chaotic System and it is based on HenonHeiles chaotic system. So I have this functions (as shown below). I want to know how can I make it as a discrete function. Like, how can I know the value for x dot and y dot.
1. Prefer to know...
Homework Statement
Simplify the Boolean expression :
Homework Equations

The Attempt at a Solution
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Here is my work :
Could someone check my answer please ?
I'm trying to simplify the combination defined as : \binom{n}{\frac{n}{2}}.
I did some calculations, starting from the factorial formula \frac{n!}{(\frac{n}{2})!(\frac{n}{2})!} and i found this form :
2^{n}(1\frac{1}{n})(1\frac{1}{n2})(1\frac{1}{n4})...
but i don't know how to continue...
Problem 1:
1 / (2xy)  2 / (x+2y) = ?
The answer is:
(4y3x) / (2x^2+3xy2y^2)
Please explain.Problem 2:
f(x) = 4x/(1x) and g(x)  2/x, then f(g(x)) = ?
The answer is 8/(x2)
Please explain.Problem 3:
Square Root of a / (1+ Square Root of a) = ?
The answer is (Square Root of a  a)...
How does r∪(p∩q∩r) simplify to r∪(p∩q) ? The second expression is just the first with the "r" gone at the end. I'm not seeing how to get from the first expression to the second using any of the basic laws like distribution, de morgan, tautology, etc. What am I missing?
In the above equation for Dirac energy, is it trivial to note that given:
Principal quantum number n
Orbital angular momentum quantum number l(max) = n  1
Total angular momentum quantum number j = l + 1/2 = n  1/2
Then nr = n  j  1/2 = n  (n  1/2)  1/2 = 0 and the energy expression...
During solution of a PDE I came across following ODE
##
\frac{d \bar h}{dt} + \frac{K}{S_s} \alpha^2 \bar h = \frac{K}{S_s} \alpha H h_b(t)
##
I have to solve this ODE which I have done using integrating factor using following steps
taking integrating factor I=\exp^{\int \frac{1}{D} \alpha^2...