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[154b-521] Number II Accumulative
[154b-521]

Number II

Accumulative Stock

Aborigines

The Stock of all Ages that come in upon the opening of the institution I term the Aborigines

Those that come in at any subsequent period I term Successionists

Such as are /come to be/ born in the institution - in any one of the Company's Industry Houses, I term - Indigenous

Such as come into the institution within the first year after their birth I term Quasi-Indigenous -

Such as remain under the Company's charge at the several successive years following that of their admittance I term Remanents of the 2 d year, 3 d year and so on -

Every age it is evident yields /furnishes/ Remanents /to/ for the next year, except age from 20 to 21, which by the end of the year will have discharged its complement (that is such of them as death has spared) in the way of emancipation

Age the 1 of the Aborigines will go on yielding remanets till the last year of the period, the year 1820.

Age the 2 d of the Aborigines will go on yielding Remanents till the end of the year 1819.

Age the 3 d, till the year 1818 - and so on
Similar Items
  • Title: [[154b-522] Numbers II Accumulative]
    Description: [154b-522]

    Numbers II

    Accumulative Stock

    Under the influence of the Accumulation principle the /General/ proposed Stock of the proposed Company's Apprentices for the several Years comprised within the assumed period of 21 years beginning on the l st of Jan y 1800 will consist of three very distinguishable parcels /[...?]/ component Stocks.

    1. The Indigenous Stock, composed of the Indigenous Stock of the Aborigines together with the several successive Indigenous Stocks of the Successionists of the several successive years together with their respective [...?] of Remanents for the different years.

    2. The remainder of the Aboriginal Stock composed of the several /numbers of the/ ages subsequent to the first, with their respective [...?] of Remanets as before.

    3. The Supplemental or Complemental Successionist Stock.

    Of these, they being destined to fill up the gaps made by death in the Aboriginal Stock, or Stock of the first year) there will of course be none comprized in the Stock of the first year: none of them will come in 1 Jan 1800: but a Stock of this sort will come in, the next year - the 1 st Jan: 1801: this stock will comprize a parcel for very one of the ages which furnished individuals to the institution on the first year: and this same stock will be repeated, in exactly the same numbers, /at the commencement of/ during every succeeding year of the assumed period.
  • Title: [[154b-446a] Numbers Propositions]
    Description: [154b-446a]

    Numbers

    Propositions

    The amount of the accumulated Stock of Successionists of the Ultra Indigenous Ages will at the commencement of any year of the given period after the first be equal to the sum of the Successionists of the several Ultra-Indigenous ages Year 2 multiplied by the numbers of the years classed between the Year the 2 d and the given Year, minus the sum of the Decrementalists of the several ages for the several years, - minus the sum of the Effluents by Emancipation of the several years preceding Years

    [154b-446b]

    Numbers

    Propositions

    Table [[...?]] is framed upon these suppositions: in which Table, Part 1 exhibits the Quasi-Indigenous Stock, or Stock composed purely of Influents of Age 1, impounded and preserved, in as far as Death has spared them, for the several years of which the period is composed.

    In Part 2 is exhibited the Original Stock of Year 1 for the several ages beyond Age 1 - i:e: the Quasi-Indigenous Age: a stock never replenished, but continually decreasing - /decreasing/ not only by death but by the emancipation of the several members, in proportion as they arrive at the conclusion of age 21 - the period of full age.

    Part 3: /a/ the Stock of Supplemental or Complemental Successionists for a single year viz: Year 1 st A.D. 1800: exhibiting also the numbers to which that single stock will be reduced in the course of the several successive years, partly by death, partly by emancipation, the result of superannuation, as before
  • Title: [[154b-511] Numbers Successionists]
    Description: [154b-511]

    Numbers

    Successionists

    It being thus clear, that there must be for every age short of the age of maturity - and more particularly for every age short of the compleatly self-maintaining age - and for all ages in every year, a stock of Successionists or Recruits to the Pauper Corps, what remains is to ascertain the numbers - to determine the numbers in which they may be expected to come in.

    /I [...?] [...?]/ That much we may venture to say in the first place - The number of Recruits or Successionists of age the second for the second year (1801) will be the difference between the total observed number as per observation of that same age (age 2 d) existing as per observation in the first year (1800) and the number that would have been found remaining alive of that same observed number at the end of that same first year (1800) had the institution which carried off the whole of the original stock of that as well as all other ages, not taken place: between the number that would have [...?] of the age in question alive at the commencement of the year and the number that would have been left alive at the end of that same year: for unless this were the case, the stock of all ages would not be kept up always at the same level, as by the supposition it must be assumed to be.