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An on-line potato-sack theorem

1991
*
Discrete & Computational Geometry
*

Followiag

doi:10.1007/bf02574670
fatcat:tkbjg7uz6rgkpbdaffv4pwovqe
*an*Auerbach-Banach-Mazur-Ulam problem from the well-known Scottish Book, results of this kind are called*potato*-*sack**theorems*. ... We consider*on*-*line*packing methods which work under the restriction that during the packing process we are given each succeeding "'*potato*'" only when the preceding*one*has been packed. ... From the corollary and the lemma we immediately obtain the following*on*-*line**potato*-*sack**theorem*.*Theorem*. ...##
###
Page 5716 of Mathematical Reviews Vol. , Issue 98I
[page]

1998
*
Mathematical Reviews
*

Lassak,

*On*-*line**potato*-*sack*algorithm efficient for packing into small boxes (105- 110); C. ... Sachs [Ebene isotrope Geometrie, Vieweg, Braun- schweig, 1987; MR 88j:51036],*one*is given*an*invariant absolute point F*on**an*invariant absolute*line*. ...##
###
Page 4846 of Mathematical Reviews Vol. , Issue 84m
[page]

1984
*
Mathematical Reviews
*

For example,

*one*finds here discussions of the*sack*of*potatoes**theorem*(Problem 10.1), the Riemann set of a series (Problem 28), the Eidelheit separation*theorem*(Problem 64), the ham sandwich*theorem*... by II (p. 139,*line*2), 2/3 by 2/e (p. 205,*line*20), the first} by € (p. 228,*line*13), and “tube” by “type” (p. 260,*line*19). ...##
###
ON-LINE COVERING OF THE UNIT SQUARE BY A SEQUENCE OF CONVEX BODIES

1996
*
Demonstratio Mathematica
*

The problem of

doi:10.1515/dema-1996-0119
fatcat:nusedht7dzhwjjoeytzpi3ycfy
*an**on*-*line*covering by planar convex bodies reduces to the problem of*an**on*-*line*covering by rectangles thanks to the Radziszewski's*theorem*(see [5] ) that every planar convex body P contains ... This kind of restriction has been introduced for packing by Lassak and Zhang [4] who considered the*on*-*line*version of the well known*potato*-*sack*problem of Auerbach, Banach, Mazur and Ulam [1] . ...##
###
Page 1478 of Mathematical Reviews Vol. , Issue 92c
[page]

1992
*
Mathematical Reviews
*

Blind (Stuttgart)
92¢:52029 52C17
Lassak, Marek (PL-AATB); Zhang, Jixian (1-GAIT)

*An**on*-*line**potato*-*sack**theorem*. Discrete Comput. Geom. 6 (1991), no. 1, 1-7. ... This volume is compared with that required by a known not-*on*-*line*method, which sheds light*on*the quality of the proposed*on*-*line*method. ...##
###
polyRAD: Genotype Calling with Uncertainty from Sequencing Data in Polyploids and Diploids

2019
*
G3: Genes, Genomes, Genetics
*

Genotyping error of EBG, updog, polyRAD, and rrBLUP in

doi:10.1534/g3.118.200913
pmid:30655271
pmcid:PMC6404598
fatcat:ujgomtmxrrgaxinf3he22zymrm
*an*F1 mapping population of tetraploid*potato*with 238 progeny. ...*Sacks*a The rate of self-fertilization can be specified for self-compatible plant species. | L. V. Clark, A. E. Lipka, and E. J.*Sacks*...##
###
Rookie

1997
*
Iowa Review : literary quarterly
*

Perhaps it is

doi:10.17077/0021-065x.4842
fatcat:2rfspcytbfaohbrkntubxbymbe
*an*error to explain my hesitancy through a*theorem*copied from my junior school philosophy text. ... Reaching*an*open area a few meters from the back of the*line*, Jerkinoff stopped. ...##
###
Online Sorting and Translational Packing of Convex Polygons
[article]

2021
*
arXiv
*
pre-print

,s_n, s_i∈[0,1],

arXiv:2112.03791v1
fatcat:y3z5eh6ih5bs7aqi2ke7vbsvxy
*one*by*one*. Each real must be placed in*an*array A with γ n initially empty cells without knowing the subsequent reals. ...*On*the positive side, we present*an*algorithm with competitive ratio O(n^0.59) for online translational strip packing of convex polygons. ... “A proof of*an*Auerbach-Banach-Mazur-Ulam*theorem**on*convex bodies”. In: 4 (1957), pp. 216–218. doi: 10.4064/cm-4-2-216-218. [28] Marek Lassak and Jixian Zhang. “*An**on*-*line**potato*-*sack**theorem*”. ...##
###
Page 118 of Journal of Education Vol. 9, Issue 208
[page]

1879
*
Journal of Education
*

*Potatoes*are sold by the ‘

*sack*’ of 160 Ibs., or two bushels of 80 lbs. each,—sometimes the ‘

*sack*’ contains three, four, or five bushels,—and sometimes by the bag of 140 lbs., and by the measure of 84 ...

*Ans*. “ “ by 6= t= =}.

*Ans*. “ “ aby f= T= 4h

*Ane*“ “ — 5 — 4} by 63 = ag 24.

*Ans*. Here the child has but

*one*pattern for dividing frac- tions. ...

##
###
Income, price, and yield variability for principal California crops and cropping systems

1960
*
Hilgardia
*

In

doi:10.3733/hilg.v30n06p175
fatcat:q6jp2mzhynhxdptyn4j4unhqbm
*line*with these general goals, the specific objectives of this study are: 1. ... Individual county yields or weighted average county yields (where more than*one*county is located in*an*area) were used for most crops." Prices were based*on*state series. ... Consequently, the variate difference method provides only*an*approximation to the random variance for gross income. The limit to nonresidents of California is 10 separate issues*on*a single order. ...##
###
The orthogonal convex skull problem

1988
*
Discrete & Computational Geometry
*

Under this definition

doi:10.1007/bf02187918
fatcat:hvb5tkvt5relfmrxtm2jpvbcze
*an*orthogonal polygon which is 0-concave is convex, that is, it is a rectangle, and*one*that is 1-concave is orthoconvex in the usual sense, and vice versa. ... Then we consider the problem of computing*an*orthoconvex orthogonal polygon of maximal area contained in a simple orthogonal polygon. This is the orthogonal version of the*potato*peeling problem. ... Therefore, we conclude that the following*theorem*holds.*Theorem*7.4. ...##
###
Applied nonparametric regression

1991
*
ChoiceReviews
*

The thick

doi:10.5860/choice.29-0364
fatcat:trkgzvpk7jb57ebwdy5pmipvpm
*line*corresponds to the normal theory density as given in*Theorem*9.3.1 based*on*the true b h and V (label 3). ... distribution*on*(a, b) Figure 1 . 1 : 11*Potatoes*versus net income. ...##
###
Applied Nonparametric Regression

1994
*
Biometrics
*

The thick

doi:10.2307/2533418
fatcat:3hafhlx22bbbbdrugyiwoqcpd4
*line*corresponds to the normal theory density as given in*Theorem*9.3.1 based*on*the true b h and V (label 3). ... distribution*on*(a, b) Figure 1 . 1 : 11*Potatoes*versus net income. ...##
###
Applied Nonparametric Regression

1993
*
Technometrics
*

The thick

doi:10.2307/1269674
fatcat:o7l4v2yprnardlsjsrb5ubx6zq
*line*corresponds to the normal theory density as given in*Theorem*9.3.1 based*on*the true b h and V (label 3). ... distribution*on*(a, b) Figure 1 . 1 : 11*Potatoes*versus net income. ...##
###
polyRAD: Genotype calling with uncertainty from sequencing data in polyploids and diploids
[article]

2018
*
bioRxiv
*
pre-print

Thus, important staple crops such as wheat,

doi:10.1101/380899
fatcat:oz5cfw6c6fffvetooj2643z2re
*potato*, 52 . ... population of tetraploid 304*potato*with 238 progeny. ...
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