... tasks of process planning. The recent intro-
duction of parallel machines (mill-turn machining centers) can greatly reduce the total machining cycle
time required by the conventional sequential machining ... capability of activating
i
cutting tools (
I
Ն
i
Ն
1) on distinct MUs, in parallel, either for the purpose
of machining a single workpiece, or for the purpose of machining, ... operations.
3. 30 to 50% of total operations are of one machining mode [22].
Examples are randomly generated in the following manner:
Step 1: Set L ϭ maximum number of levels in the precedence...
... j1
size of the grid = number of columns and rows of the matrix P
Dx step of the grid in the x-direction
Dy the step of the grid in the y-direction
NB matrix of the nearest points
K matrix of distances
K
max
... Conservation of
an extrapolation trend.
- In the case of the Radial basis functions method the system of linear equation must be
completed and solved for each node of grid and the main advantage of ... y2
minimum and maximum of y-coordinates of points XYZ
z1 , z2
minimum and maximum of z-coordinates of points XYZ
),( yxf
interpolation / approximation function
D planar domain of
),( yxf
)(h
γ
variogram...
... maximum of y-coordinates of points XYZ
z1 , z2
minimum and maximum of z-coordinates of points XYZ
i1 , j1
size of the grid = number of columns and rows of the matrix P
P
i,j
elements of the ... 9
Number of circulations
= values of matrix K
Values of matrix NB
9 9 9 9 9
9 9 9 9 9
Ordinal index
of point XYZ
2.4.2 Shape of generated surface
One of the first aspects evaluated by the user of interpolating ... matrix P
Z vector of z-coordinates of points XYZ
DZ auxiliary vector with the same size as the vector Z
13
step of grid in x-direction
step of grid in y-direction
points XYZ
nodes of grid
Fig....
... number of boundar-
ies (b) is limited to 100.
3.8.5 Faults
NAME.ZL is the name of an ASCII file containing coordinates of initial and end points of
the line segments, at which the created surface ... name NAME.GRs. It contains the mat-
rix i1xj1 of z-coordinates in the nodes of the grid. The format of the file is compatible
with Surfer (Golden Software) grid file format:
DSAA
i1 j1
x1 x2
y1 ... it was decided to keep
primary compatibility of input / output data formats with the Surfer software (see [S2]), be-
cause the majority of related software uses Surfer data format either directly...
... display of maps
Interpolation
Digitization of map objects
Cross-section display
3D display of surface
Digitization of background
Digitization of a finite difference model grid
Determination of a ... management of projects
2. transformation of map objects coordinates
3. specification of interpolation parameters and running SURGEF.EXE
4. 2D and 3D display of surfaces, computation and display of isolines ... and display of isolines and display of
cross-sections
5. digitisation of map objects
6. mathematical operations with surfaces
7. computation of volumes between surfaces
The first requirement is...
... elevation model of mount Shasta in Northern California.
5.8 Construction of model grid
One of the most important applications of SurGe in my profession are projects of geological
models of underground ... measurement of snow surface before the
avalanche event and AVALAN.DT1 containing the measurement of snow surface after the
avalanche event.
In figure 5.5a there are two maps of snow surfaces created ... and surfaces of layers generated by SurGe. The surfaces of layers must
be specified (using the suffix convention) in order of increasing depth beginning from
the most top layer, and the top surface...
... shape of surfaces in the vicinity of their apparent
contours. We describe the real-time implementations of these algorithms for use
in tasks involving the active exploration of visible surface geometry. ... interpretation of disparities as 3D depths of the scene point. This
requires knowledge of the camera/eye geometry and the relative positions
and orientations of the viewpoints
(epipolar geometry ... descriptions of local 3D shape are developed directly from the
differential geometryof surfaces [67, 76, 122].
Consider a point P on the contour generator of a smooth, curved surface in R...
... precisely by the set of edges
GEOMETRY OF THE UNIFORM SPANNING FOREST
475
We will need the following known lemma, which is a corollary of the
main result of von Weizs¨acker (1983). Its proof is included ... allow for future applications.
The bulk of the paper is devoted to the proof of the upper bound on
max N(x, y) in (1.1). We now present an overview of this proof. Let U
(n)
be
the relation N(x, y) ... then
dim
S
(LR) = min{dim
S
(L) + dim
S
(R),d} .
GEOMETRY OF THE UNIFORM SPANNING FOREST
483
event has positive probability), is the union of E
1
with the set of edges of a
UST on the graph obtained from...
... multidegree of X equals
the sum of multidegrees of components of Y that happen also to be compo-
nents of X. By hypothesis, the multidegrees of X and Y coincide, so the sum
of multidegrees of the ... formulae for the multidegrees of ladder determi-
nantal rings.
The proofs of the main theorems introduce the technique of “Bruhat in-
duction”, consisting of a collection of geometric, algebraic, ... closure
Bw
T
B
+
of the B × B
+
orbit on M
n
through the permutation matrix w
T
. Thus
X
w
is irreducible of dimension n
2
− length(w), and w
T
is a smooth point of it.
Proof. The stability of
X
w
under...
... of potential pollution ofsurface waters as
E. coli applied in slurry. We explored three of the major
factors that in¯uence the risk of E. coli pollution from these
two sources: input loads of ... the effects of soil and plant properties on
surface runoff. Journal of Agricultural Engineering Research 73,
395±401.
Edberg SC Allen MJ Smith DB & Kriz NJ 1990. Enumeration of total
coliforms ... Replicate Drainage Runoff Total % of total input
Slurry 8/3±26/4/99,
a
1 6.7 Q 10
10
No runoff 6.7 Q 10
10
3.6
drainage = 74 mm, 2 1.2 Q 10
11
No runoff 1.2 Q 10
11
6.4
runoff = 0 mean 9.3 Q 10
10
9.3...
... or
partial blocking of the surface transport in the presence
of slowly diffu sing additives at the surface; (2) appearance
of the surface flux anisotropy and transfer to the mode of
sub-diffusion, ... fragment of a
ARTICLE IN PRESS
Fig. 2. Results of MC simulation of the mass transfer at the catalyst particle surface. (a) The dependence of a normalized effective diffusion coefficient on
the surface ... given region of the surface
(due to the surface transport), per one MC time step and per
unit of the boundary length.
The surface transport ceases coping with the flux that
comes to the surface already...
... in
which the ratio ofsurface energy to the distance from the centre
of crystal to the surface is constant. Assuming that nanowire facets
during the growth consist of clean surface, we have obtained ... struc-
ture of stable NWs. In the case of NWs which possess nanowire fac-
ets without H atom, as shown in Fig. 3a–c, surface related
1
For the flat Si(111) surfaces, the validity ofsurface separation ... been checked
by using slab geometry with 7–12 Å thick vacuum region. We found that the surface
energy and positions ofsurface atoms of Si(111)-(2 Â 1)
p
-bonded chain surface are
identical within...
... upon
internalization of labeled toxin, the biotin linked to surface-
bound toxin was cleaved off in some of the wells by the
cell-impermeable reducing agent MESNa, thereby prevent-
ing detection of the still surface- bound ... stimulation of endocyto-
sis. However, the requirement for the A-subunit
could be mediated via an effect of the B-moiety.
This illustrates the importance of detailed studies of
the role of the different ... Endocytosis of Stx was
measured upon addition of increasing amounts of
unlabeled Stx2 (0–20 nm), and as shown in Fig. 3A,
only at very high concentrations of Stx2 was a slight
stimulation of Stx uptake...
... Dembitsky
1
1
Department of Medicinal Chemistry and Natural Products, School of Pharmacy, PO Box 12065, The Hebrew University of
Jerusalem, 91120, Israel;
2
Division of Environmental Sciences, Graduate School of Applied ... The Hebrew University of
Jerusalem, Israel;
3
Department of Plant Pathology, ARO, Ministry of Agriculture, Bet Dagan, Israel
Surface alkanes and fatty acids from the thalli of the lichen
Xanthoria ... Bromo-containing fatty
acids of Acorospora gobiensis lichen. Phytochemistry 50, 97–99.
Fig. 2. The part of gas chromatogram (full run is 162 min) of C
18
family
methyl ester of fatty acids of lichen X. parietina,...