The name is absent



Rectilinear Drawing          73

of a suitable Continuous7 two-parameter distribution function
/(ʃ,
φ) if and only ifʃ(ʃ, φ) exists as specified above and is
positive or zero. If such a solution exists it will be unique.

(2) A drawing with given density function F(r, 0) ≥0 can
be made by means of a continuous two-parameter continuous
distribution function /ɪ(ʃ, <ρ) ≥0, followed by a similar dis-
tribution function
f2(s, φ) of non-overlapping rectilinear
erasures, if and only if/(ʃ,
φ) exists as specified above, when
we may take

/i(ʃ, <p) = (l/(ʃ, <P) I +/(ʃ, ^))/2, Ж v) = (l/(ʃ, <P) I -/(ʃ, ^))/2
so that

/(ʃ, <P) =√i<Λ φ) “.MA φ)∙

If such a solution exists it is unique, and evidently requires
the least possible drawing and subsequent erasure.8

(3) A drawing with given continuous density function
F(r, θ) ≥0 can be made by means of a continuous two-para-
meter distribution function /(ʃ,
φ) followed by a single
uniform erasure if and only if/(ʃ, <p) exists as specified above.
If /(ʃ,
φ) is positive or zero everywhere no subsequent
erasure is of course necessary. If, however, /(ʃ,
φ) has a
negative minimum
— m, we first make the drawing with
positive density function
F(r, 0) +2τrm and corresponding
distribution function /(ʃ, ^)÷w≥0, and then make a uni-
form erasure with density 2τrm. Evidently this solution is
essentially unique, and requires the least possible uniform
erasure.

It is interesting to note that in the first problem when no
erasures are allowed, certain obvious geometrical conditions
must be satisfied if the drawing is to be possible. In order to

7That is, continuous in s and φ.

8I.e., as measured by lead put down and lead erased.



More intriguing information

1. The name is absent
2. The name is absent
3. Washington Irving and the Knickerbocker Group
4. The name is absent
5. The name is absent
6. AN ECONOMIC EVALUATION OF THE COLORADO RIVER BASIN SALINITY CONTROL PROGRAM
7. On the Desirability of Taxing Charitable Contributions
8. The name is absent
9. Dual Inflation Under the Currency Board: The Challenges of Bulgarian EU Accession
10. Individual tradable permit market and traffic congestion: An experimental study
11. The name is absent
12. Business Cycle Dynamics of a New Keynesian Overlapping Generations Model with Progressive Income Taxation
13. The name is absent
14. Altruism with Social Roots: An Emerging Literature
15. The name is absent
16. Migrant Business Networks and FDI
17. Herman Melville and the Problem of Evil
18. Estimating the Impact of Medication on Diabetics' Diet and Lifestyle Choices
19. A Duality Approach to Testing the Economic Behaviour of Dairy-Marketing Co-operatives: The Case of Ireland
20. A Pure Test for the Elasticity of Yield Spreads