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Sliding scale fees are variable prices for products, services, or taxes based on a customer's ability to pay. Such fees are thereby reduced for those who have lower incomes, or alternatively, less money to spare after their personal expenses, regardless of income. [1] Sliding scale fees are a form of price discrimination or differential pricing.
The Fuller calculator, sometimes called Fuller's cylindrical slide rule, is a cylindrical slide rule with a helical main scale taking 50 turns around the cylinder. This creates an instrument of considerable precision – it is equivalent to a traditional slide rule 25.40 metres (1,000 inches) long.
A slide rule scale is a line with graduated markings inscribed along the length of a slide rule used for mathematical calculations. The earliest such device had a single logarithmic scale for performing multiplication and division, but soon an improved technique was developed which involved two such scales sliding alongside each other.
For example, aligning the rightmost 1 on the C scale with 2 on the LL2 scale, 3 on the C scale lines up with 8 on the LL3 scale. To extract a cube root using a slide rule with only C/D and A/B scales, align 1 on the B cursor with the base number on the A scale (taking care as always to distinguish between the lower and upper halves of the A scale).
Coggeshall first described this apparatus in a paper he released in London titled, "Timber-measure by a line of more ease, dispatch and exactness, then any other way now in use, by a double scale : after the countrey-measure, by the length and quarter of the circumference in round timber, and by the length and side of the square in squared ...
The economic concept of sliding scale at its most basic: people pay as they are able to for services, events and items. Those with access to more resources pay more and thus provide the cushion for those with less access to pay less, creating a sustainable economic underpinning for said services, events and items.
In 2024, federal income tax rates remain at 10%, 12%, 22%, 24%, 32%, 35%, and 37%. While these rates stay the same for 2025, the income thresholds for each bracket will adjust for inflation.
So for a vernier with a constant of 0.1, each mark on the vernier is spaced 9/10 of those on the main scale. If you put the two scales together with zero points aligned, the first mark on the vernier scale is 1/10 short of the first main scale mark, the second is 2/10 short, and so on up to the ninth mark, which is misaligned by 9/10.