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Henry Bushby Transcription pages

VM533B94v4-p262.jpg

Revision as of Jun 2, 2014, 6:10:53 AM
edited by JLee
Revision as of Jun 2, 2014, 6:11:39 AM
edited by JLee
Line 14: Line 14:
 
nos. ^<i>except 5</i> up to & including 1 [Sideways U] y. This will <br>
 
nos. ^<i>except 5</i> up to & including 1 [Sideways U] y. This will <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>
 
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 to y-1 (i.e. y) excluding 2. This gives <sup>y-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 <s>as yet ascented in the "not" series.</s><br>
<s>as yet ascented in the "not" series.</s><br>
+
to y-1 (i.e. y) excluding 2. This gives <sup>y-3</sup>/<sub>2</sub> knots.<br>

Revision as of Jun 2, 2014, 6:11:39 AM

I2 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) As y is odd these are no fresh knots ^ with. r.k. y join 1 not to all even nos. up as yet ascented in the "not" series.

to y-1 (i.e. y) excluding 2. This gives y-3/2 knots.