翻译Suppose at each state there is a unique action that is sender optimal. Then, the sender can fully persuade the receiver if and only if t ∗ � (t ∗ a : a ∈ A), with t ∗ a(ω)¢ µ∗ (ω)I{ω ∈ Υa} for ω ∈ Ω, is feasible for the convex program (7); that is, for each a ∈ A, we have t ∗ a ∈ Conv(Pa ∪ {0}).
时间: 2024-04-03 19:31:29 浏览: 23
假设在每个状态下都有一个唯一的发送者最优行动。那么,如果对于每个a∈A,存在t ∗ a(ω)¢ µ∗ (ω)I{ω ∈ Υa},使得t ∗ � (t ∗ a : a ∈ A) 可行于凸规划(7)中,则发送者可以完全说服接收者。反之,如果不存在这样的t ∗ a,则发送者不能完全说服接收者。其中,对于每个a∈A,我们有t ∗ a ∈ Conv(Pa ∪ {0})。
相关问题
Consider the 5-bit generator, G = 10011, and suppose that D has the value1010101010. What is the value of R?
To calculate the value of R, we need to perform polynomial long division of D by G. Here are the steps:
1. Append four 0s to the end of D to create a dividend with 14 bits: 10101010100000.
2. The first 5 bits of the dividend are divided by G=10011 to get the first bit of the quotient and the remainder. The first bit of the quotient is 1 and the remainder is 1110.
3. The next bit of the dividend (which is a 0) is brought down to the remainder to create a new 5-bit sequence: 11100.
4. This new sequence is divided by G to get the next bit of the quotient and remainder. The next bit of the quotient is 0 and the remainder is 1010.
5. Steps 3 and 4 are repeated until we have a quotient of 10 bits.
6. The final remainder is R. In this case, R=1010.
Therefore, the value of R is 1010.
Consider CRC error checking approach, the four bit generator G is 1011, and suppose that the data D is 10101010, then the value of R is
To calculate the CRC value, we need to perform polynomial division. We append 3 zeros (the degree of the generator polynomial minus 1) to the data to form the dividend:
```
10101010000 | 1011
```
We perform division as follows:
```
1
-------
1011 | 10101010000
1011
------
1010
1011
----
1100
1011
----
110
```
The remainder is 110 (3 bits), which is the CRC value. We append it to the original data to form the transmitted message:
```
10101010110
```
To check for errors, we divide the received message (assuming it has been corrupted during transmission) by the generator polynomial. If the remainder is zero, there are no errors. Otherwise, there is at least one error.
Note: This example uses the standard CRC-4 generator polynomial, which is commonly used in practice. In general, the generator polynomial can be of any degree and can be chosen based on the desired error detection capabilities.