Log in to Scripto | Recent changes | View item | View file | Transcribe page | View history

## Henry Bushby Transcription pages

### VM533B94v4-p262.jpg

Revision as of Jun 2, 2014, 6:17:25 AM edited by JLee |
Revision as of Jun 2, 2014, 6:23:26 AM edited by JLee |
||
---|---|---|---|

Line 15: | Line 15: | ||

give <s><sup>y-3</sup>/<sub>2</sub> of y crossings.</s> <s><u>y-3</u></s> <sup>4-3</sup>/<sub>2</sub> knots. <br> | give <s><sup>y-3</sup>/<sub>2</sub> of y crossings.</s> <s><u>y-3</u></s> <sup>4-3</sup>/<sub>2</sub> knots. <br> | ||

(iii) <s> As y is odd these are no fresh knots</s> ^<i> With. r.k. y join 1 <u>not </u> to all even nos. up </i><s>as yet ascented in the "not" series.</s>^<i><s>by</s> to y-1 (i.e. y) excluding 2. This gives <sup>y-3</sup>/<sub>2</sub> knots.</i><br> | (iii) <s> As y is odd these are no fresh knots</s> ^<i> With. r.k. y join 1 <u>not </u> to all even nos. up </i><s>as yet ascented in the "not" series.</s>^<i><s>by</s> to y-1 (i.e. y) excluding 2. This gives <sup>y-3</sup>/<sub>2</sub> knots.</i><br> | ||

+ | <u>B</u>. Suppose y is even.<br> | ||

+ | <s>(i)</s> <u>[Oro?]</u>:- y , c can be derived from <br> | ||

+ | r.k y-2 & r.k y-1.<br> | ||

+ | (i) With r.k. (y-2) join 1 to all even nos. <u>[Oro.]</u><br> | ||

+ | to y-2.<br><s>as in <u>A</u>.i.</s> This gives <sup>u-2</sup>/<sub>2</sub> <s>4</s> knots. |

## Revision as of Jun 2, 2014, 6:23:26 AM

I_{2} Only

(5) odd c gives c-1 knots ^{c-1}/_{2} of (c+1)^{c-1}/_{2} of (c+2)}[bracket with line above]__[Oro?]__

odd c give ~~same~~ ^*c-1 knots* for __not.__

But some will be repetitions.

(6) Required: knots with y.c. Proceed

as follows:-

__A.__ Suppose y is odd.

(i)__[Oro?]__: - y c can be derived from

r.k. y-2, & r.k y-1.

(ii) With r.k.(y-2) join 1 to all even nos.

"__[Oro?]__" up to & including 1 [Sideways U] y-2. This will give

^{y-3}/_{2} knots of y crossings.

Then with r.k (y-1) join 1 ^* [Oro?]* to all odd

nos. ^

*except 5*up to & including 1 [Sideways U] y. This will

give

^{y-3}/

_{2}of y crossings.

__y-3__

^{4-3}/

_{2}knots.

(iii)

*With. r.k. y join 1*

__not__to all even nos. up~~by~~ to y-1 (i.e. y) excluding 2. This gives

^{y-3}/_{2}knots.__B__. Suppose y is even.

__[Oro?]__:- y , c can be derived from

r.k y-2 & r.k y-1.

(i) With r.k. (y-2) join 1 to all even nos.

__[Oro.]__

to y-2.

__A__.i.

^{u-2}/

_{2}