1460907419-5e242f4c-fead-47d8-8251-6d6d3fa637dd

1. A process for forming a macromolecule that comprises a polymer bonded at a terminus through at least one \u2014Si\u2014O-M- moiety to a polyatomic functionality that comprising multiple M atoms where M represents Si, Ti, Zr, Sn, Al, or Fe, said process comprising:
a) in an organic solvent medium, reacting a carbanionic polymer with one or more functional silanes having any of the general formulas
RfSi(OR4)4-f,
(OR4)2SiZ\u2032, and
Rf(R4O)3-fSi\u2014(CH2)m-Q\u2032-(CH2)n\u2014Si(OR4)3-gRg,
\u2003where
Q\u2032 is a divalent heteroatom or a heteroatom-containing divalent linking group that is free of active hydrogen atoms,
f and g independently are integers of from 0 to 2 inclusive,
m and n independently are integers of from 0 to about 200 inclusive,
each R4 independently is a substituted or unsubstituted alkyl, alkenyl, cycloalkyl, cycloalkenyl, aryl, allyl, aralkyl, alkaryl, or alkynyl group,
each R independently is a hydrogen atom or C1-C20 alkyl group; and
Z\u2032 and the Si atom to which is bonded constitute a cyclic group that comprises a divalent heteroaton or a heteroatom-containing divalent group in its ring structure,

\u2003thereby providing a polymer that comprises a functionality in which at least one alkoxy group is bonded to a silicon atom, said polymer having the general formula
{p}4-c-J-SiRa(OR1)b
\u2003where
each J independently is a moiety defined by one of the following general structures
SiR2Od or
{SiRe(OR1)2-e\u2014(CH2)mQ\u2032(CH2)n},
{p} represents a polymer chain,
each R1 independently is a hydrogen atom or a substituted or unsubstituted alkyl, alkenyl, cycloalkyl, cycloalkenyl, aryl, allyl, aralkyl, alkaryl, or alkynyl group,
a is an integer of from 0 to 2 inclusive, b is an integer of from 1 to 3 inclusive, and c=a+b with the proviso that c\u22663,
d is an integer of from 0 to about 42 inclusive,
e is an integer of from 0 to 2 inclusive, and
m and n independently are integers of from 0 to about 200 inclusive;

b) adding to said organic solvent medium one or more hydrolyzable compounds that comprises a M atom; and
c) hydrolyzing and condensing said polymer which comprises at least one alkoxy group bonded to a silicon atom and said one or more hydrolyzable compounds that comprises a M atom to afford said macromolecule that comprises a polymer bonded at a terminus through said at least one \u2014Si\u2014O-M- moiety to said polyatomic functionality.
2. The process of claim 1 wherein M is Si and at least one of said one or more compounds comprising a M atom has any of the following general formulas:
where
each Q independently is a multivalent heteroatom, and v is an integer of from 1 to 3 inclusive, as appropriate in view of the valence of the Q atom with which it is associated;
Q\u2033 is a divalent heteroatom or a heteroatom-containing divalent linking group;
each m and n independently is an integer of from 0 to about 42 inclusive;
w, x, y and z independently are integers of from 0 to 3 with the proviso that (y+z)\u22663;
Z is a -Q\u2033R4\u2014 group where R4 is a substituted or unsubstituted alkyl, alkenyl, cycloalkyl, cycloalkenyl, aryl, allyl, aralkyl, alkaryl, or alkynyl group, and where each of Q\u2033 and R4 is directly bonded to the Si atom;
Z\u2032 is a substituted or unsubstituted C2-C10 alkylene group that, together with the N and Si atoms to which each terminal C atom of the group is bonded, form a ring structure;

X is a halogen atom;
each R2 and R3 independently is a hydrogen atom or a substituted or unsubstituted alkyl, alkenyl, cycloalkyl, cycloalkenyl, aryl, allyl, aralkyl, alkaryl, or alkynyl group;
R5 is a divalent organic group;
each of R6 and R7 independently is a non-Zerewitinoff monovalent organic group or a hydrolyzable protecting group; and
each of R8 and R9 independently is X or a monovalent organic group.
3. The process of claim 2 wherein at least one of said one or more compounds comprising a M atom has the general formula {HvQ-(CH2)m}y\u2014SiR3z(OR2)4-y-z where y is 1, z is 0, R2 is an alkyl group, and m is an integer of from 1 to 6.
4. The process of claim 2 wherein at least one of said one or more compounds comprising a M atom further comprises at least one of an amine, mercapto, phosphino, and phosphate group.
5. The process of claim 2 wherein each of said one or more compounds comprising a M atom is added in stoichiometric excess.
6. The process of claim 5 wherein from 5 to 100 equivalents of said one or more compounds that comprises a M atom are utilized for each equivalent of polymer that comprises a functionality in which at least one alkoxy group is bonded to a silicon atom.
7. The process of claim 1 wherein M is Ti and at least one of said one or more compounds comprising a M atom is a titanium (IV) alkoxide.
8. The process of any of claims 1 or 2 to 7 wherein said polyatomic functionality has an average diameter of no more than about 100 nm.
9. The process of any of claims 1, 2 to 5 or 7 wherein from 5 to about 500 equivalents of said one or more compounds comprising a M atom are utilized for each equivalent of polymer.
10. The process of any of claims 1, 2 to 7, or 8 to 9 further comprising blending said macromolecule with ingredients that comprise one or more types of particulate filler so as to form a composition.
11. The process of claim 10 further comprising vulcanizing said composition.

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. A picture coding device that performs intra prediction coding of a picture signal including a luma signal and a chroma signal in units of blocks and codes information relating to an intra prediction mode, the picture coding device comprising:
a luma intra prediction mode derivation unit that is configured to derive a value of a luma intra prediction mode; and
an intra prediction mode derivation unit that is configured to derive a value of a chroma intra prediction mode from a conversion table representing a value of the chroma intra prediction mode having a chroma format of 4:2:2 based on a value of the luma intra prediction mode of a prediction block located at a same position as the position of a prediction block of the chroma signal, which is derived by the luma intra prediction mode derivation unit, in a case where the chroma format is 4:2:2 and derive a value of the chroma intra prediction mode based on a value of the luma intra prediction mode of a prediction block located at a same position as the position of a prediction block of the chroma signal without using the conversion table in a case where the chroma format is not 4:2:2.
2. A picture decoding device that performs intra prediction decoding of a picture signal including a luma signal and a chroma signal in units of blocks by decoding information relating to an intra prediction mode, the picture decoding device comprising:
a luma intra prediction mode derivation unit that is configured to derive a value of a luma intra prediction mode; and
an intra prediction mode derivation unit that is configured to derive a value of a chroma intra prediction mode from a conversion table representing a value of the chroma intra prediction mode having a chroma format of 4:2:2 based on a value of the luma intra prediction mode of a prediction block located at a same position as the position of a prediction block of the chroma signal, which is derived by the luma intra prediction mode derivation unit, in a case where the chroma format is 4:2:2 and derive a value of the chroma intra prediction mode based on a value of the luma intra prediction mode of a prediction block located at a same position as the position of a prediction block of the chroma signal without using the conversion table in a case where the chroma format is not 4:2:2.
3. A picture decoding method for performing intra prediction decoding of a picture signal including a luma signal and a chroma signal in units of blocks by decoding information relating to an intra prediction mode, the picture decoding method comprising:
deriving a value of a luma intra prediction mode; and
deriving a value of a chroma intra prediction mode from a conversion table representing a value of the chroma intra prediction mode having a chroma format of 4:2:2 based on a value of the luma intra prediction mode of a prediction block located at a same position as the position of a prediction block of the chroma signal, which is derived in the deriving of a value of the luma intra prediction mode, in a case where the chroma format is 4:2:2 and deriving a value of the chroma intra prediction mode based on a value of the luma intra prediction mode of a prediction block located at a same position as the position of a prediction block of the chroma signal without using the conversion table in a case where the chroma format is not 4:2:2.
4. A recording medium in which a picture decoding program causing a computer to execute performing intra prediction decoding of a picture signal including a luma signal and a chroma signal in units of blocks by decoding information relating to an intra prediction mode is stored, the picture decoding program causing the computer to execute:
deriving a value of a luma intra prediction mode; and
deriving a value of a chroma intra prediction mode from a conversion table representing a value of the chroma intra prediction mode having a chroma format of 4:2:2 based on a value of the luma intra prediction mode of a prediction block located at a same position as the position of a prediction block of the chroma signal, which is derived in the deriving of a value of the luma intra prediction mode, in a case where the chroma format is 4:2:2 and deriving a value of the chroma intra prediction mode based on a value of the luma intra prediction mode of a prediction block located at a same position as the position of a prediction block of the chroma signal without using the conversion table in a case where the chroma format is not 4:2:2.
5. A transmitting device comprising:
a packet processing unit that is configured to derive a bitstream by packetizing a bitstream coded by using a picture coding method in which intra prediction coding of a picture signal including a luma signal and a chroma signal is performed in units of blocks, and information relating to an intra prediction mode is coded; and
a transmitting unit that is configured to transmit the packetized bitstream,
wherein the picture coding method comprising:
deriving a value of a luma intra prediction mode; and
deriving a value of a chroma intra prediction mode from a conversion table representing a value of the chroma intra prediction mode having a chroma format of 4:2:2 based on a value of the luma intra prediction mode of a prediction block located at a same position as the position of a prediction block of the chroma signal, which is derived in the deriving of a value of the luma intra prediction mode, in a case where the chroma format is 4:2:2 and deriving a value of the chroma intra prediction mode based on a value of the luma intra prediction mode of a prediction block located at a same position as the position of a prediction block of the chroma signal without using the conversion table in a case where the chroma format is not 4:2:2.
6. A transmitting method comprising:
deriving a bitstream by packetizing a bitstream coded by using a picture coding method in which intra prediction coding of a picture signal including a luma signal and a chroma signal is performed in units of blocks, and information relating to an intra prediction mode is coded; and
transmitting the packetized bitstream,
wherein the picture coding method comprising:
deriving a value of a luma intra prediction mode; and
deriving a value of a chroma intra prediction mode from a conversion table representing a value of the chroma intra prediction mode having a chroma format of 4:2:2 based on a value of the luma intra prediction mode of a prediction block located at a same position as the position of a prediction block of the chroma signal, which is derived in the deriving of a value of the luma intra prediction mode, in a case where the chroma format is 4:2:2 and deriving a value of the chroma intra prediction mode based on a value of the luma intra prediction mode of a prediction block located at a same position as the position of a prediction block of the chroma signal without using the conversion table in a case where the chroma format is not 4:2:2.
7. A receiving device that performs intra prediction decoding of a picture signal including a luma signal and a chroma signal in units of blocks by decoding information relating to an intra prediction mode based on a bitstream, the receiving device comprising:
a receiving unit that is configured to receive coding data in which a picture is coded;
a packet processing unit that is configured to construct the bitstream by performing a packetizing process of the bitstream;
a luma intra prediction mode derivation unit that is configured to derive a value of the luma intra prediction mode based on the bitstream; and
a chroma intra prediction mode derivation unit that is configured to derive a value of a chroma intra prediction mode from a conversion table representing a value of the chroma intra prediction mode having a chroma format of 4:2:2 based on a value of the luma intra prediction mode of a prediction block located at a same position as the position of a prediction block of the chroma signal, which is derived by the luma intra prediction mode derivation unit, in a case where the chroma format is 4:2:2 and derive a value of the chroma intra prediction mode based on a value of the luma intra prediction mode of a prediction block located at a same position as the position of a prediction block of the chroma signal without using the conversion table in a case where the chroma format is not 4:2:2.