Select Maker 0.97 Beta 8

June 16, 2022

By the way, when I use matlab to view the given matrix it shows me all the values as NAN.

As noted in the comments, the $r^k$ in the answer by @FangfangLu is not M(r); it’s $Q(r^k)$. Since the function $Q(r)$ is a polynomial, once you write the evaluation in terms of $r$, you can’t keep the terms linear. The linearization reduces the degree of the polynomial by one.
When $r$ is small, the fourth degree term will be large relative to the linear term and the rest of the terms, so we simplify to the cubic expression and use the same notation (so that it’s clear why $r^k$ is in the formula) and we get
$$
M(r) = 4r^3 – 3\bar{r}^4 + \frac{1}{20}\left[-5r^5 + 3\bar{r}^6 + 24\bar{r}^2r^3 – 3\bar{r}^5\bar{r} + 6\bar{r}r^5\bar{r} – 18\bar{r}^3r^4 – 21\bar{r}^4r^2 + 12r^5r^3 – 6\bar{r}^3r^3\bar{r}^2\right].
$$

of the evidence and inferences, credibility determinations, or the weight of the evidence. Smith v. Heckler, 735 F.2d 327, 332 (4th Cir.1984); Russell v. Chater, 54 F.3d 370, 372 (8th Cir.1995).

12
We conclude that the Secretary’s decision is supported by substantial evidence. The doctor who examined Mr. Henry in February 1990 found that his mental condition had deteriorated. At the time, his speech was “unintelligible” and his thought processes “somewhat scattered.” Because mental status examinations are “generally considered to be the best indicator of mental capacity,” Campbell v. Shalala, 988 F.2d 741, 744 (7th Cir.1993), and because no one testified to contradict Dr. Bailey’s observations, we cannot say that the ALJ er

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