I found an error in the solution manual to HW1(a)(i). There, I argued that A is not closed since it is open, but it is an insufficient argument. That we can take a convergent sequence to b which is not in A is the reason that it is not closed.
I might have made some other such mistakes...
Regards,
Kohei
2009年4月28日火曜日
2009年4月27日月曜日
Correction for Solution Manual to HW2
As is mentioned in the last TA session, I made some mistake in solving HW2 5(a)(iii).
I uploaded the revised version in the course web site, so please refer to it.
Thanks Igarashi for letting me know.
Regards,
Kohei
I uploaded the revised version in the course web site, so please refer to it.
Thanks Igarashi for letting me know.
Regards,
Kohei
2009年4月26日日曜日
Correction for HW3
Found the following typos in HW3.
Problem 4: "... if X is finite ..." should be replaced to "... if |X| is finite ...",
where |X| represents a cardinality of X.
Thanks to Kobayashi and Kubota for pointing it out.
Problem 4: "... if X is finite ..." should be replaced to "... if |X| is finite ...",
where |X| represents a cardinality of X.
Thanks to Kobayashi and Kubota for pointing it out.
2009年4月15日水曜日
Correction for HW2
Found ambiguous description in HW2, so correct it as follows:
3. (b)
Wrong: "you can show that the constraints never bind with equality in this optimization problem"
↓
Correct: "you can show that the constraints c_t, c_t+1, s_t >= 0 never bind with equality at the optimum point in this optimization problem"
Kohei
3. (b)
Wrong: "you can show that the constraints never bind with equality in this optimization problem"
↓
Correct: "you can show that the constraints c_t, c_t+1, s_t >= 0 never bind with equality at the optimum point in this optimization problem"
Kohei
2009年4月13日月曜日
Correction for HW1
We found another mistake in HW1.
3.(a)(iii)
wrong: Is this open in R2? Is this closed in R2?
↓
correct: Let define A={x in R2 | a < x1 < b, x2=0} Is this open in R2? Is this closed in R2?
Thanks Kubota, Takashima, and Fukuda for letting me know.
For precise description, please refer to this.
Kohei
3.(a)(iii)
wrong: Is this open in R2? Is this closed in R2?
↓
correct: Let define A={x in R2 | a < x1 < b, x2=0} Is this open in R2? Is this closed in R2?
Thanks Kubota, Takashima, and Fukuda for letting me know.
For precise description, please refer to this.
Kohei
2009年4月9日木曜日
Correction for HW1
Found the following typos in HW1.
Thanks Kanazawa and Ino for pointing it out.
Kohei
- 1. (a) (iii) wrong: "less than three"→correct: "equal or less than"
- 2. (d) (iii) (T2') wrong: "A_1∩A_2"→correct: "A_1∪A_2"
Thanks Kanazawa and Ino for pointing it out.
Kohei
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