Author: claimsbot

1. A method for generating a Cartesian mesh model of an object, comprising a processor performing the steps of:
a. receiving an ordered set of data points that describe the object in CAD-based Standard Tessellation Language (STL) format, wherein the object is described by a triangular facet surface mesh, each triangular facet having three vertices (V1, V2, V3) that uniquely define a plane and three facet edges defined by lines drawn between V1 and V2, V2 and V3, and V3 and V1;
b. defining a volume domain in Cartesian coordinates (x, y, z) that encompasses said object, said volume being subdivided into small perfect cubic cells;
c. casting ray along one of the coordinate directions originating from a cell face center of a volume domain face normal to the cast ray, to determine the intersection of said ray with said triangular facet;
d. testing ray to see if it passes through said facet by applying the orientation test for the V1V2 facet edge relative to the ray coordinates given by the determinant of the orientation test matrix for the coordinate direction of the cast ray
and similarly for the V2V3 and V3V1 facet edges; if all three orientation tests are greater than zero or all three are less than zero, proceed to step e; if only one orientation tests is zero, wherein the ray intersects an edge, or only two of the orientation tests are zero, wherein the ray intersects a vertex, then jump to step h; otherwise jump to step f;
e. saving the ray-facet intersection coordinates; proceed to f;
f. testing to see if there is another facet to test with the current ray position; if yes, jump to d and apply test to next facet; if no, proceed to g;
g. testing to see if there is a next unused cell face center in said volume domain face to cast a ray; if no proceed to step i; if yes, position ray to next cell center face and jump to step c;
h. applying a tie-breaker test to determine if the said facet is unique: (1) if said ray intersects said facet edge of a starting surface and the edge has a +x component or if the x component is zero and the facet edge has a +y component, jump to step e; if false jump to step f; (2) if said ray intersects said facet edge of an ending surface and 5 the edge has a \u2212x component or if the x component is zero and the facet edge has a \u2212y component, jump to step e; if false jump to step f; (3) if said ray intersects said facet vertex of a starting surface and both edges intersecting the vertex have +x components or if one of the x components is +x and the other zero with a +y component, jump to step e; if false jump to step f; (4) if said ray intersects said facet vertex of an ending 10 surface and both edges intersecting the vertex have \u2212x components or if one of the x components is \u2212x and the other is zero with a \u2212y component, jump to step e; if false jump to step f;
i. end ray casting.
The claims below are in addition to those above.
All refrences to claim(s) which appear below refer to the numbering after this setence.

What is claimed is:

1. In an expandable stent, wherein said stent has a plurality of interconnected members, and wherein said interconnected members flex relative to each other as said stent expands, the improvement comprising:
an array of relief cut means formed in some of said interconnected members whereby said members flex more easily than without said relief cut means, and wherein each of said relief cut means is sufficiently small that the columnar compressive strength of said interconnected members is not significantly reduced by the presence of said relief cut means formed therein.
2. The apparatus of claim 1 wherein said stent is a balloon expandable stent.
3. The apparatus of claim 2 wherein said stent has distal and proximal ends and a central section, and wherein said relief cut means are formed only in said distal and proximal ends.
4. The apparatus of claim 2 wherein said stent has distal and proximal ends and a central section, and wherein said relief cut means are formed only in said central section.
5. The apparatus of claim 2 wherein said interconnected members of said stent have cross sections wherein the width is greater than the thickness.
6. The apparatus of claim 5 wherein said width is between 1.5 and 5 times as great as said thickness.
7. The apparatus of claim 1 wherein said relief cut means comprises one or more holes formed in and extending through one or more of said interconnecting members.
8. The apparatus of claim 7 wherein said holes are circular.
9. The apparatus of claim 7 wherein said holes are elliptical.
10. The apparatus of claim 7 wherein said holes are slots.
11. The apparatus of claim 1 wherein said stent is a self-expandable stent.
12. The apparatus of claim 1 wherein said relief cuts are applied to said stent in patterns to allow controlled, non-uniform expansion of said stent.
13. In an expandable stent having a plurality of cells and said stent is movable between a retracted and an expanded position, wherein said cells are formed by a plurality of flexible, interconnected members, said members flexing relative to each other as said tent expands, the improvement comprising:
an array of relief cut means formed in some of said members to cause said members to flex more easily than without said relief cut means being formed therein.
14. The apparatus of claim 13 wherein said stent is a balloon-expandable stent.
15. The apparatus of claim 13 wherein said interconnected members have cross sections wherein the width is between 1.5 and 5 times as great as the thickness.

1. A method for forming a wiring, comprising the steps of:
supplying to a substrate a first liquid containing a first component to form a first pattern and a second liquid containing a second component to form a second pattern so as to come into contact with each other, the second component causing interfacial aggregation in a contact area with the first component when brought into contact with the first component; and
forming a wiring pattern consisting of the first pattern and the second pattern on the substrate.
2. A method for forming a wiring according to claim 1, wherein the first component is a conductive material, the first pattern is a conducting pattern, the second liquid containing the second component that causes the interfacial aggregation in the contact area when brought into contact with the conductive material further contains an insulating material, and the second pattern is an insulating pattern.
3. A method for forming a wiring according to claim 2, further comprising the step of vaporizing the second component in the insulating pattern after supplying the second liquid to the substrate to form the insulating pattern on the substrate.
4. A method for forming a wiring according to claim 3, wherein the step of vaporizing the second component is a heat treatment.
5. A method for forming a wiring according to claim 2, wherein the second component in the insulating pattern formed on the substrate by use of the second liquid is vaporized.
6. A method for forming a wiring according to claim 1, wherein the first liquid and the second liquid each contain water and are supplied to the substrate by an ink-jet system.
7. A wiring board, comprising:
a wiring pattern formed by the method for forming a wiring according to claim 1; and
the substrate.
8. An apparatus for forming a wiring, comprising:
a first liquid reservoir container for a first liquid containing a first component to form a first pattern;
a second liquid reservoir container for a second liquid containing a second component to form a second pattern, the second component causing interfacial aggregation in a contact area with the first component when brought into contact with the first component; and
means for supplying to a substrate the first liquid and the second liquid so as to come into contact with each other to form a wiring pattern consisting of the first pattern and the second pattern on the substrate.
9. An apparatus for forming a wiring according to claim 8, wherein the first component is a conductive material, the first pattern is a conducting pattern, the second liquid containing the second component that causes the interfacial aggregation in the contact area when brought into contact with the conductive material further contains an insulating material, and the second pattern is an insulating pattern.
10. An ink set, comprising:
a first liquid containing a first component to form a first pattern; and
a second liquid containing a second component to form a second pattern, the second component causing interfacial aggregation in a contact area with the first component when brought into contact with the first component.
11. An ink set according to claim 10, wherein the first component is a conductive material, the first pattern is a conducting pattern, the second liquid containing the second component that causes the interfacial aggregation in the contact area when brought into contact with the conductive material further contains an insulating material, and the second pattern is an insulating pattern.

The claims below are in addition to those above.
All refrences to claim(s) which appear below refer to the numbering after this setence.

1-6. (canceled)
7. A compound having the formula:
wherein:
Q1 is a fluorescent nucleic acid dye constituent;
Q2 is a fluorescent nucleic acid dye constituent;
Q1 and Q2 may be the same or different, wherein:
(i) each of Q1 and Q2 is independently a phenanthridium dye of Formula I:
R1 represents where BRIDGE attaches to the structure; and \u03a8 is an anion; or
(ii) each of Q1 and Q2 is independently an asymmetric cyanine dye, wherein each of Q1 and Q2 dye constituents has a structure of Formula II:
wherein R1\u2032 of Formula II is H; alkyl or alkenyl having 1 carbon to 6 carbons, inclusive; a halogen; \u2014OR9; \u2014SR10; \u2014NR11R12; \u2014CN; \u2014NH(C\u2550O)R13; \u2014NHS(\u2550O)2R14; \u2014C(\u2550O)NHR15; or a substituent associated with minor groove binding; or represents where BRIDGE attaches to the structure;
when R1\u2032 of Formula II comprises at least one of R9, R10, R11, R12, R13, R14 and R15, any said one of R9, R19, R11, R12, R13, R14 and R15, independently, is H or alkyl having 1 carbon to 12 carbons, inclusive, optionally incorporating 1 to 2 nitrogen(s), inclusive, or an aryl;
when R1\u2032 of Formula II comprises R11 and R12, R11 and R12 may in combination form a 5- or 6-membered, saturated or unsaturated ring, which optionally comprises at least one hetero atom selected from N and O;
X of Formula II is selected from O and S;
n of Formula II is selected from 0, 1, and 2;
R6 of Formula II is H; alkyl or alkenyl having 1 carbon to 10 carbons, inclusive, optionally comprising at least one hetero atom selected from N, O, and S; a halogen; \u2014OR16; \u2014SR16; \u2014NR16R17; or a substituted or an unsubstituted aryl, optionally comprising 1 to 3 hetero atom(s), inclusive, selected from N, O, and S; or represents where BRIDGE attaches to the structure;
R7 of Formula II is H; alkyl or alkenyl having 1 carbon to 10 carbons, inclusive, optionally comprising an aryl and at least one hetero atom selected from N, O, and S;
or a substituted or an unsubstituted aryl optionally comprising 1 to 3 hetero atom(s), inclusive, selected from N, O, and S; or represents where BRIDGE attaches to the structure;
R8 and R8\u2032 of Formula II in combination form a fused aromatic ring, which may be further substituted 1 to 4 time(s), inclusive, independently, by C1-C2, inclusive, alkyl, C1-C2, inclusive, alkoxy, C1-C2, inclusive, alkylmercapto, or a halogen;
each of R16 and R17 independently is H; alkyl having 1 carbon to 12 carbons, inclusive, optionally incorporating 1 to 2 nitrogen(s) or an aryl; or
R16 and R17 may in combination form a 5- or 6-membered saturated or unsaturated ring, which optionally comprises at least one hetero atom selected from N and O;
only one of R1\u2032, R6, and R7 of Formula II represents where BRIDGE attaches to the structure; and
\u03a8 of Formula II is an anion; or
(iii) each of Q1 and Q2 is independently an acridine dye of Formula III:
wherein each R1 of Formula III is independently H or a C1-C2, inclusive, alkyl;
one of R2 and R3 of Formula III represents where BRIDGE attaches to the structure;
when R2 represents where BRIDGE attaches to the structure, R3 is H or \u2014CH3;
when R3 represents where BRIDGE attaches to the structure, R2 is selected from H, \u2014CH3, \u2014NH2, \u2014NHCH3, \u2014CN, and \u2014C(\u2550O)NH2;
each R6 of Formula III is independently H or a C1-C2, inclusive, alkyl;
each R7 of Formula III is independently H or a C1-C2, inclusive, alkyl;
for each pair of adjacent R6 or R7 and R1, independently, R6 or R7 and R1 may in combination form a 5- or 6-membered, saturated or unsaturated ring;
\u03a8 of Formula III is an anion; and
BRIDGE is an aliphatic linker comprising from 8 to 150 non-hydrogen atoms, inclusive, and the linker comprises no more than one positive charge.
8. The compound of claim 7, wherein BRIDGE has the formula:
-L1-A1-(CH2)\u03b1-aA2-(CH2)\u03b2-bA3-(CH2)\u03b3-cA4-(CH2)\u03b4-dA5-(CH2)\u03b5-eA6-(CH2)\u03b6-fA7-(CH2)\u03b7-gA8-(CH2)\u03b8-hA9-(CH2)\u03b9-i-A10-L2-\u2003\u2003Formula 2

wherein each of L1 and L2, independently, is a moiety comprising a single bond; a polymethylene unit having 1 carbon to 12 carbons, inclusive, optionally comprising at least one hetero atom selected from N, O and S; or an aryl optionally comprising at least one hetero atom selected from N, O and S;
each of A1, A2, A3, A4, A5, A6, A7, A8, A9, and A10, independently, is a nucleic-acid-binding-enhancing-group (NABEG); a branched alkyl optionally comprising at least one hetero atom selected from N, O and S; or at least one saturated 5- or 6-membered ring, optionally comprising at least one hetero atom selected from N, O and S; or an aryl group optionally comprising at least one hetero atom selected from halogens, N, O, and S;
each of \u03b1, \u03b2, \u03b3, \u03b4, \u03b5, \u03b6, \u03b7, and \u03b8, independently, is zero or an integer from 1 to 20, inclusive; and
each of a, b, c, d, e, f, g, h, and i, independently, is zero or an integer from 1 to 20, inclusive.
9. The compound of claim 8, wherein BRIDGE has the formula:
\u2014(CH2)x\u2014C(\u2550O)NH\u2014(CH2)\u03b1\u2014O\u2014(CH2)\u03b2b\u2014O\u2014(CH2)\u03b3c\u2014NH(O\u2550C)\u2014(CH2)x\u2014\u2003\u2003Formula 2

wherein each x, independently, is an integer selected from 1 to 11, inclusive; \u03b1 is an integer selected from 2 to 20, inclusive; each of \u03b2 and \u03b3, independently, is 2 or 3; b is zero or an integer from 1 to 20, inclusive; and c is zero or 1.
10. The compound of claim 7, wherein each of Q1 and Q2 is a phenanthridium dye of Formula I:
R1 represents where BRIDGE attaches to the structure; and \u03a8 is an anion; and
BRIDGE has the formula:
\u2014(CH2)x\u2014C(\u2550O)NH\u2014(CH2)\u03b1\u2014O\u2014(CH2)\u03b2b\u2014O\u2014(CH2)\u03b3c\u2014NH(O\u2550C)\u2014(CH2)x\u2014
wherein each x, independently, is an integer selected from 1 to 11, inclusive; \u03b1 is an integer selected from 2 to 20, inclusive; each of \u03b2 and \u03b3, independently, is 2 or 3; b is zero or an integer from 1 to 20, inclusive; and c is zero or 1.
11. The compound of claim 10, wherein x is 5; \u03b1 and \u03b3 are the same and are 2 or 3; \u03b2 is 2; and b is 0, 1, 2, or 3.
12. The compound of claim 10, wherein the compound has the structure:
wherein \u03a8 is I\u2212 or Cl\u2212.
13. The compound of claim 7, wherein each of Q1 and Q2 is an asymmetric cyanine dye, and wherein each of Q1 and Q2 dye constituents independently has a structure of Formula II:
wherein R1\u2032 of Formula II is H; alkyl or alkenyl having 1 carbon to 6 carbons, inclusive; a halogen; \u2014OR9; \u2014SR10; \u2014NR11R12; \u2014CN; \u2014NH(C\u2550O)R13; \u2014NHS(\u2550O)2R14; \u2014C(\u2550O)NHR15; or a substituent associated with minor groove binding; or represents where BRIDGE attaches to the structure;
when R1\u2032 of Formula II comprises at least one of R9, R10, R11, R12, R13, R14 and R15, any said one of R9, R10, R11, R12, R13, R14 and R15, independently, is H or alkyl having 1 carbon to 12 carbons, inclusive, optionally incorporating 1 to 2 nitrogen(s), inclusive, or an aryl;
when R1\u2032 of Formula II comprises R11 and R12, R11 and R12 may in combination form a 5- or 6-membered, saturated or unsaturated ring, which optionally comprises at least one hetero atom selected from N and O;
X of Formula II is selected from O and S;
n of Formula II is selected from 0, 1, and 2;
R6 of Formula II is H; alkyl or alkenyl having 1 carbon to 10 carbons, inclusive, optionally comprising at least one hetero atom selected from N, O, and S; a halogen; \u2014OR16; \u2014SR16; \u2014NR16R17; or a substituted or an unsubstituted aryl, optionally comprising 1 to 3 hetero atom(s), inclusive, selected from N, O, and S; or represents where BRIDGE attaches to the structure;
R7 of Formula II is H; alkyl or alkenyl having 1 carbon to 10 carbons, inclusive, optionally comprising an aryl and at least one hetero atom selected from N, O, and S;
or a substituted or an unsubstituted aryl optionally comprising 1 to 3 hetero atom(s), inclusive, selected from N, O, and S; or represents where BRIDGE attaches to the structure;
R8 and R8\u2032 of Formula II in combination form a fused aromatic ring, which may be further substituted 1 to 4 time(s), inclusive, independently, by C1-C2, inclusive, alkyl, C1-C2, inclusive, alkoxy, C1-C2, inclusive, alkylmercapto, or a halogen;
each of R16 and R17 independently is H; alkyl having 1 carbon to 12 carbons, inclusive, optionally incorporating 1 to 2 nitrogen(s) or an aryl; or
R16 and R17 may in combination form a 5- or 6-membered saturated or unsaturated ring, which optionally comprises at least one hetero atom selected from N and O;
only one of R1\u2032, R6, and R7 of Formula II represents where BRIDGE attaches to the structure; and
\u03a8 of Formula II is an anion; and BRIDGE has the formula:
\u2014(CH2)x\u2014C(\u2550O)NH\u2014(CH2)\u03b1\u2014O\u2014(CH2)\u03b2b\u2014O\u2014(CH2)\u03b3c\u2014NH(O\u2550C)\u2014(CH2)x\u2014
wherein each x, independently, is an integer selected from 1 to 11, inclusive; \u03b1 is an integer selected from 2 to 20, inclusive; each of \u03b2 and \u03b3, independently, is 2 or 3; b is zero or an integer from 1 to 20, inclusive; and c is zero or 1.
14. The compound of claim 13, wherein each of Q1 and Q2 has the structure:
wherein R7 represents where BRIDGE attaches to the structure.
15. The compound of claim 13, wherein the compound has the structure:
16. The compound of claim 7, wherein each of Q1 and Q2 is independently an acridine dye of Formula III:
wherein each R1 of Formula III is independently H or a C1-C2, inclusive, alkyl;
one of R2 and R3 of Formula III represents where BRIDGE attaches to the structure;
when R2 represents where BRIDGE attaches to the structure, R3 is H or \u2014CH3;
when R3 represents where BRIDGE attaches to the structure, R2 is selected from H, \u2014CH3, \u2014NH2, \u2014NHCH3, \u2014CN, and \u2014C(\u2550O)NH2;
each R6 of Formula III is independently H or a C1-C2, inclusive, alkyl;
each R7 of Formula III is independently H or a C1-C2, inclusive, alkyl;
for each pair of adjacent R6 or R7 and R1, independently, R6 or R7 and R1 may in combination form a 5- or 6-membered, saturated or unsaturated ring;
\u03a8 of Formula III is an anion; and
BRIDGE has the formula:
\u2014(CH2)x\u2014C(\u2550O)NH\u2014(CH2)\u03b1\u2014O\u2014(CH2)\u03b2b\u2014O\u2014(CH2)\u03b3c\u2014NH(O\u2550C)\u2014(CH2)x\u2014
wherein each x, independently, is an integer selected from 1 to 11, inclusive; \u03b1 is an integer selected from 2 to 20, inclusive; each of \u03b2 and \u03b3, independently, is 2 or 3; b is zero or an integer from 1 to 20, inclusive; and c is zero or 1.
17. The compound of claim 10, wherein each R1 is H; R2 is H; R3 represents where BRIDGE attaches to the structure; each R6 is \u2014CH3; and each R7 is \u2014CH3.
18. The compound of claim 17, wherein the compound has the structure:
19. The compound of any one of claims 7-18, wherein \u03a8 is I\u2212 or Cl\u2212.
20. A kit for determining presence or absence of nucleic acid in a sample, the kit comprising: a compound according to any one of claims 7-19; optionally, a buffer; and information concerning use of the kit.
21. The compound of claim 8, wherein the Bridge comprises a weakly basic constituent.
22. The compound of claim 21, wherein the Bridge comprises an aryl group comprising at least one Nitrogen atom.
23. The compound of claim 22, wherein the Bridge comprises a pyridine group, pyrazine group, triazole group, or tetrazole group.
24. The compound of claim 8, wherein at least one of A1, A2, A3, A4, A5, A6, A7, A8, A9, and A10 independently comprises an aryl group; the aryl group optionally comprising at least one hetero atom selected from halo, N, O, and S.
25. The compound of claim 24, wherein at least one of A1, A2, A3, A4, A5, A6, A7, A8, A9, and A10 independently comprises an aryl group; the aryl group comprising at least one Nitrogen atom.
26. The compound of claim 25, wherein at least one of A1, A2, A3, A4, A5, A6, A7, A8, A9, and A10 independently comprises a pyridine group, a pyrazine group, a triazole group, or a tetrazole group.
27. The compound of claim 26, wherein at least one of A1, A2, A3, A4, A5, A6, A7, A8, A9, and A10 independently comprises a triazole group.
28. The compound of claim 27, wherein at least one of A1, A2, A3, A4, A5, A6, A7, A8, A9, and A10, independently comprises a 1,2,3-triazole group.