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A (a=1, b=2, c=3)
then,
B (a=1.5, b=3, c=4.5)
C (a=3, b=6, c=9)
D (a=0.5, b=1, c=1.5)

As above, based on the amounts of the elements in group A, the elements of B, C, and D were changed (increased or decreased) by multiplying A by 1.5, 3, and 0.5, respectively.

How can I express these changes to B, C and D collectively?

So far I have these options:

  1. The amount of each element in each group of B,C and D was increased or decreased at a specific rate as compared to A
  2. The amount of each element in each group of B,C and D was changed with a specific fold increase or decrease as compared to A
  3. The amount of each element in each group of B,C and D was changed by a specific ratio in relation to A

Or any better answers?

  • 1
    None of these. For starters, "the amount" makes no sense at all. It should be "the values". Also, "B,C" is not English. English would be "B, C". – RegDwigнt Aug 12 '15 at 8:53
  • a : b : c was held constant in each ordered triple. – Edwin Ashworth Aug 12 '15 at 9:47
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I would use:

Groups B, C and D are constant multiples of Group A

Which would imply that each element in the set has been multiplied by the same number.

If your groups are vectors (or matrices) then you should rather use the term scalar multiple

And if a, b and c form a coordinate system then B would be a scaling of A.

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Say that each of a,b, and c were multiplied by a certain factor in each instance, to yield the next row (B, C, D).

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