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# JB/157/007/002

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Numbers Brouillon

The rate of
mortality in the
bosom of the new
institution

If the observed
numbers of If Age 1 comprized
all the
ages within the
compass of a
year, the observation
must
of course have
been made at
the end of the
year: and therefore
must have
comprized the
persons remaining
when at the end
of a year out
of the whole number
born within
the compass of
a year.

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The numbers
just a expendable of the Pauper
Community can
be taken only
from observed
numbers in existence:
it can
not be taken from
births, since
births of Paupers
are not
distinguished from
other births.

In the case of
a year's an influx from
an year age
having one rate
of mortality into
an age having
a different rate
of mortality, the
mortality of half
the number of days will
be according to
the one rate, that
of the remainder
according to the other
rate.

Thus the 365
days old with
is

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Age 2

Observed Nos

NB 46
Observed
of that age are the Remanets of
that age

Therefore the
Influents into
Age 2 are
equal to 46
+ the Decrementalists

From the decline
The Influ Observed Numbers
of Age 2 are to
the observed Nos
of Age 1 as 46
to
67

That is the Remanets
of Age 2
+ the Decrementalists
of Age 2 are equal
to the 67+ the
Decrementalists of
Age 1

Gain

The Remanets of Age 2= 46
Remanets of Age 1 67
Remanets of Age 2 + the
Decrementalists of Age 2 are
Required such a number for
the Influents into Age 1 (i:e:
the Remanets + the Decrementalists.)
as shall be equal to the Remanets
(viz: by) as the difference between
the ratio 67:46 and the
ratio 1000:855

Required a number (N which shall
exceed 67 as much as the difference
between ratio of 67 to 46
exceeds the ratio of 1000 to 855

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Identifier: | JB/157/007/002
"JB/" can not be assigned to a declared number type with value 157.

157

poor plan

007

numbers brouillon

002

rudiments sheet (brouillon)

2

recto

jeremy bentham

tw 1794

francis hall

1794

53377