1460732635-977ad8b8-6c85-4425-913c-a49595db377d

1. A barrel spin attachment for a paintball gun to induce spin onto a paintball exiting the barrel of the paintball gun, the attachment comprising:
a structure having first and second end portions, said first portion including an aperture along a first longitudinal reference axis, where said first portion is securable over a barrel of a paintball gun;
the second portion opposite said first portion, forming an open split cylindrical cavity, wherein said split cylindrical cavity is positioned at an angle relative to a longitudinal axis of the paintball gun barrel such that a spin is imparted upon a paintball fired from said paintball gun barrel as it passes longitudinally through said split cylindrical cavity and exits there from; and
at least one adjustment pin rotatable within, and extending through the aperture, the at least one adjustment pin bent relative to the longitudinal axis of the barrel.
2. The barrel spin attachment of claim 1 wherein an inner surface of said split cylindrical cavity is constructed from a material intended to impart spin onto said paintball as it passes longitudinally along said split cylindrical cavity.
3. The barrel spin attachment of claim 1 wherein said structure is constructed from an elastomeric material.
4. A barrel spin attachment for a paintball gun for inducing a spin onto a paintball exiting a barrel of the paintball gun, the attachment comprising:
a structure having first and second end portions, said first end portion having a cylindrical cross section and an aperture along a first longitudinal reference axis, said first end portion comprising a diameter sized to fit around a paintball gun barrel;
the second end portion, opposite said first end portion, comprising an open semi-cylindrical cavity, the open semi-cylindrical cavity comprising a diameter less than the diameter of the first end portion; and
at least one adjustment pin rotatable within and extending through the aperture, the at least one adjustment pin bent relative to the longitudinal axis of the barrel.
5. The barrel spin attachment of claim 4, wherein the diameter of the open semi-cylindrical cavity is substantially equal to the diameter of a paintball.
6. The barrel spin attachment of claim 4, wherein said semi-cylindrical cavity is positioned at a slight angle relative to a longitudinal axis of the paintball gun barrel.

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. An image forming system, comprising:
a print unit to print a plurality of swaths to form an image on a media;
a media transport unit to transport the media to the print unit;
an advancement error determination unit to determine an amount of advancement error corresponding to the transport of the media; and
a swath adjustment module to dynamically adjust a swath size of a respective swath to form an adjusted swath and dynamically apply a masked out portion to the adjusted swath based on at least the determined amount of advancement error.
2. The image forming system according to claim 1, wherein the swath adjustment module dynamically adjusts the swath size of the respective swath in memory by dynamically increasing a swath height of the respective swath by forming a buffer region having a predetermined size thereto to form the adjusted swath.
3. The image forming system according to claim 2, wherein the buffer region comprises:
a lower portion of the corresponding preceding swath having the predetermined size duplicated as an upper portion of the adjusted swath in a form of a plurality of rows.
4. The image forming apparatus according to claim 2, wherein the masked out portion is based on the predetermined size of the buffer region and the determined amount of advancement error.
5. The image forming system according to claim 4, wherein when the determined amount of the advancement error is less than zero, a size of the masked out portion is greater than the predetermined size of the buffer region.
6. The image forming system according to claim 4, wherein when the determined amount of the advancement error is equal to zero, a size of the masked out portion is equal to the predetermined size of the buffer region.
7. The image forming system according to claim 4, wherein when the determined amount of the advancement error is greater than zero, a size of the masked out portion is less than the predetermined size of the buffer region.
8. The image forming system according to claim 1, wherein the print unit subsequently prints the adjusted swath on the media adjacent to and after the print unit prints a corresponding preceding swath on the media, the printed adjusted swath having an effective swath height based on at least the determined amount of advancement error.
9. The image forming system according to claim 1, wherein the advancement error determination unit comprises:
at least one media advancement sensor to detect the advancement error of the media; and
at least one error counter unit to count the amount of the advancement error.
10. The image forming system according to claim 2, wherein the memory is disposed in an application-specific integrated circuit.
11. The image forming system according to claim 1, wherein the print unit comprises:
an inkjet print head.
12. A swath adjustment method, comprising:
printing a first swath by a print unit on a media;
advancing the media with respect to the print unit;
determining an amount of advancement error corresponding to the advancement of the media;
dynamically adjusting a swath size of a second swath in memory to form an adjusted second swath; and
printing the adjusted second swath by the print unit on the media having an effective swath height based on at least the determined amount of advancement error.
13. The method according to claim 12, wherein the dynamically adjusting a swath size of a second swath in memory to form an adjusted second swath comprises:
dynamically increasing a swath height of the second swath by forming a buffer region having a predetermined size to the second swath to form the adjusted second swath; and
dynamically applying a masked out portion to the adjusted second swath.
14. The method according to claim 13, wherein the forming the buffer region comprises:
duplicating a lower portion of the first swath of the predetermined size to an upper portion of the adjusted second swath in a form of a plurality of rows.
15. The method according to claim 14, wherein the masked out portion is based on the predetermined size of the buffer region and the determined amount of advancement error.
16. The method according to claim 15, wherein when the determined amount of the advancement error is less than zero, a size of the masked out portion is greater than the predetermined size of the buffer region by an amount equal to an absolute value of the determined amount of advancement error.
17. The method according to claim 15, wherein when the determined amount of the advancement error is equal to zero, a size of the masked out portion is equal to the predetermined size of the buffer region.
18. The method according to claim 15, wherein when the determined amount of the advancement error is greater than zero, a size of the masked out portion is less than the predetermined size of the buffer region by an amount equal to the determined amount of advancement error.
19. The method according to claim 12, wherein the printing the adjusted second swath by the print unit on the media comprises:
subsequently printing the adjusted second swath on the media adjacent to and after the print unit prints the first swath on the media.
20. A computer-readable storage medium having embodied thereon a computer program to execute a method, wherein the method comprises:
printing a first swath by a print unit on a media;
advancing the media with respect to the print unit;
determining an amount of advancement error corresponding to the advancement of the media;
dynamically adjusting a swath size of a second swath in memory to form an adjusted second swath; and
printing the adjusted second swath by the print unit on the media having an effective swath height based on the determined amount of advancement error.

1460732627-296b30aa-2025-4fff-bca4-ba9a3a5cf441

1. An optical display device comprising:
an optical modulator that has a plurality of pixels having optical propagation characteristics that can be controlled independently and a luminance adjusting element that has a plurality of pixels having optical propagation characteristics that can be controlled independently, the pixels in the optical modulator and the pixels in the luminance adjusting element being arranged to optically correspond at m:n, m and n being integers and m<n or n>m, the optical display device modulating light from a light source through the optical modulator and the luminance adjusting element and displaying an image;
an average value calculating device to calculate an average value or weighted average value of color component values on a color-basis in pixel values corresponding to the n pixels based on the display image data;
a luminance selecting device to select a luminance value corresponding to each of the pixels in the optical modulator among luminance component values in the pixel values corresponding to the n pixels based on the display image data;
an optical propagation characteristic determining device to determine the optical propagation characteristic of each of the pixels in the optical modulator based on a result of calculation by the average value calculating device and a result of selection by the luminance selecting device; and
a control value determining device to determine a control value for each of the pixels in the optical modulator based on optical propagation characteristics determined by the optical propagation characteristic determining device.
2. The optical display device according to claim 1,
the luminance adjusting element being a liquid crystal display device.
3. An optical display device comprising:
an optical modulator that has a plurality of pixels having optical propagation characteristics that can be controlled independently and a luminance adjusting element that has a plurality of pixels having optical propagation characteristics that can be controlled independently, the pixels in the optical modulator and the pixels in the luminance adjusting element being arranged to optically correspond at m:n, m and n being integers and m<n or n>m, the optical display device modulating light from a light source through the optical modulator and the luminance adjusting element and displaying an image;
a first pixel value converting device to convert RGB values corresponding to n pixels in the luminance adjusting element corresponding to m pixels in the optical modulator into first pixel values in which the luminance component and color components of the RGB values are separated based on display image data having the pixels values including the RGB values;
an average value calculating device to calculate an average value or weighted average value of the color component values on a color-basis among the first pixel values corresponding to the n pixels;
a luminance selecting device to select luminance values corresponding to the m pixels in the optical modulator from the luminance component values among the first pixel values corresponding to the n pixels;
a second pixel value converting device to convert second pixel values into RGB values, the second pixel values including a result of calculation by the average value calculating device and a result of selecting by the luminance selecting device;
an optical propagation characteristic provisionally determining device to provisionally determine the optical propagation characteristic of each of the pixels in the luminance adjusting element;
a first optical propagation characteristic determining device to determine the optical propagation characteristic of each of the pixels in the optical modulator based on an optical propagation characteristic provisionally determined by the optical propagation characteristic provisionally determining device and the result of conversion by the second pixel value converting device;
a first control value determining device to determine a control value for each of the pixels in the optical modulator based on the optical propagation characteristic determined by the first optical propagation characteristic determining device;
a second optical propagation characteristic determining device to determine an optical propagation characteristic of each of the pixels in the luminance adjusting element based on the display image data; and
a second control value determining device to determine a control value for each of the pixels in the luminance adjusting element based on the optical propagation characteristic determined by the second optical propagation characteristic determining device.
4. The optical display device according to claim 3,
the luminance selecting device selecting one of a maximum, intermediate, and minimum values among the luminance component values in the first pixel values corresponding to the n pixels as a luminance value corresponding to each of the pixels in the optical modulator.
5. The optical display device according to claim 3,
the second optical propagation characteristic determining device determining the optical propagation characteristic of each of the pixels in the luminance adjusting element based on the display image data and the optical propagation characteristic determined by the first optical propagation characteristic determining device.
6. The optical display device according to claim 5, further comprising:
a third pixel value producing device to produce third pixel values corresponding to the n pixels in the luminance adjusting element based on the luminance component values corresponding to the n pixels in the first pixel values and the result of calculation by the average value calculating device; and
a third pixel value converting device to convert the third pixel values into RGB values, and
the second optical propagation characteristic determining device determines the optical propagation characteristic of each of the pixels in the luminance adjusting element based on a result of conversion by the third pixel value converting device and the optical propagation characteristic determined by the first optical propagation characteristic determining device.
7. The optical display device according to claim 3,
when the pixel values of the display image data corresponding to the n pixels in the luminance adjusting element are the same, the first optical propagation characteristic determining device determining the optical propagation characteristic of each of the pixels in the optical modulator based on the optical propagation characteristic provisionally determined by the optical propagation characteristic provisionally determining device and the pixel values in the display image data.
8. The optical display device, according to claim 3,
the optical modulator and the luminance adjusting element both have the pixels arranged in a matrix, the number of pixels in the luminance adjusting element is an integral multiple of the number of pixels in the optical modulator both in the row and column directions, and m pixels in the optical modulator and n pixels in the luminance adjusting element are arranged to regularly and optically correspond.
9. The optical display device according to claim 8, further comprising:
a plurality of the optical modulators corresponding to light in the RGB colors,
m pixel in each optical modulator and n pixels in the luminance adjusting element being arranged to regularly and optically correspond.
10. The optical display device according to claim 3,
the first pixel value converting device converting the RGB values into first pixel values including a Y value representing the luminance component of the pixel, a Cb value representing color difference for blue in the pixel, and a Cr value representing color difference for red in the pixel.
11. An optical display device comprising:
an optical modulator that has a plurality of pixels having optical propagation characteristics that can be controlled independently and a luminance adjusting light source that has a plurality of light sources having luminance that can be adjusted independently, the pixels in the optical modulator and the light sources in the luminance adjusting light source being arranged to optically correspond at m:n, m and n being integers and m<n or n>m, the optical display device modulating light from the luminance adjusting light source through the optical modulator and displaying an image;
an average value calculating device to calculate an average value or weighted average value of color component values on a color-basis among the pixel values corresponding to the n pixels based on the display image data;
a luminance selecting device to select a luminance value corresponding to each of the pixels in the optical modulator among luminance component values in the pixel values corresponding to the n pixels based on the display image data;
an optical propagation characteristic determining device to determine the optical propagation characteristic of each of the pixels in the optical modulator based on a result of calculation by the average value calculating device and a result of selection by the luminance selecting device; and
a control value determining device to determine a control value for each of the pixels in the optical modulator based on optical propagation characteristics determined by the optical propagation characteristic determining device.
12. An optical display device comprising:
an optical modulator that has a plurality of pixels having optical propagation characteristics that can be controlled independently and a luminance adjusting light source that has a plurality of light sources having luminance that can be adjusted independently, the pixels in the optical modulator and light sources in the luminance adjusting light source being arranged to optically correspond at m:n, m and n being integers and m<n or n>m, the optical display device modulating light from the luminance adjusting light source through the optical modulator and displaying an image;
a first pixel value converting device to convert RGB values corresponding to n light sources in the luminance modulating light source corresponding to m pixels in the optical modulator into first pixel values in which the luminance component and color components of the RGB values are separated based on the display image data having pixel values including RGB values;
an average value calculating device to calculate an average value or weighted average value of the color component values on a color-basis among the first pixel values corresponding to the n pixels;
a luminance selecting device to select luminance values corresponding to the m pixels in the optical modulator among the luminance component values in the first pixel values corresponding to the n pixels;
a second pixel value converting device to convert second pixel values consisting of a result of calculation by the average value calculating device and the result of selection by the luminance selecting device;
a luminance provisionally determining device to provisionally determine luminance of each of the light sources in the luminance modulating light source;
an optical propagation characteristic determining device to determine optical propagation characteristic of each of the pixels in the optical modulator based on the luminance provisionally determined by the luminance provisionally determining device and the RGB values obtained by converting by the second pixel value converting device;
a first control value determining device to determine a control value for each of the pixels in the optical modulator based on the optical propagation characteristic determined by the first optical propagation characteristic determining device;
a luminance determining device to determine luminance of each of the light sources in the luminance modulating light source based on the display image data; and
a second control value determining device to determine a control value for each of the pixels in the luminance modulating light source based on the luminance determined by the luminance determining device.
13. A computer readable medium storing a program that, when executed by a computer, is operable to control an optical display device having an optical modulator that has a plurality of pixels whose optical propagation characteristics can be controlled independently and a luminance adjusting element that has a plurality of pixels whose optical propagation characteristics can be controlled independently, the pixels in the optical modulator and the pixels in the luminance adjusting element being arranged to optically correspond at m:n, m and n being integers and m<n or n>m, the device modulating light from a light source through the optical modulator and the luminance adjusting element and displaying an image,
the program enabling the computer to carry out processing comprising:
calculating an average value or weighted average value of color component values on a color-basis in pixel values corresponding to the n pixels based on the display image data;
selecting a luminance value corresponding to each of the pixels in the optical modulator among luminance component values in the pixel values corresponding to the n pixels based on the display image data;
determining an optical propagation characteristic of each of the pixels in the optical modulator based on a result of calculation by the average value calculating and a result of selection by the luminance selecting; and
determining a control value for each of the pixels in the optical modulator based on the optical propagation characteristics determined by the optical propagation characteristic determining.
14. A computer readable medium storing a program that, when executed by a computer, is operable in controlling an optical display device having an optical modulator that has a plurality of pixels whose optical propagation characteristics can be controlled independently and a luminance adjusting element that has a plurality of pixels whose optical propagation characteristics can be controlled independently, the pixels in the optical modulator and the pixels in the luminance adjusting element being arranged to optically correspond at m:n, m and n being integers and m<n or n>m, the optical display device modulating light from a light source through the optical modulator and the luminance adjusting element and displaying an image,
the program enabling the computer to carry out processing comprising:
converting RGB values corresponding to n pixels in the luminance adjusting element corresponding to m pixels in the optical modulator into first pixel values in which the luminance component and color components of the RGB values are separated;
calculating an average value or weighted average value of the color component values on a color-basis among the first pixel values corresponding to the n pixels;
selecting luminance values corresponding to the m pixels in the optical modulator from the luminance component values among first pixel values corresponding to the n pixels;
converting second pixel values consisting of a result of calculation by the average value calculating device and a result of selecting by the luminance selecting;
provisionally determining an optical propagation characteristic of each of the pixels in the luminance adjusting element;
determining an optical propagation characteristic of each of the pixels in the optical modulator based on the optical propagation characteristic provisionally determined by the optical propagation characteristic provisionally determining;
determining a control value for each of the pixels in the optical modulator based on the optical propagation characteristic determined by the first optical propagation characteristic determining;
determining the optical propagation characteristic of each of the pixels in the luminance adjusting element based on the display image data; and
determining a control value for each of the pixels in the luminance adjusting element based on the optical propagation characteristic determined by the second optical propagation characteristic determining.
15. A computer readable medium storing a program that, when executed by a computer, is operable for controlling an optical display device having an optical modulator that has a plurality of pixels whose optical propagation characteristics can be controlled independently and a luminance adjusting light source that has a plurality of light sources whose luminance can be adjusted independently, the pixels in the optical modulator and the light sources in the luminance adjusting light source being arranged to optically correspond at m:n, m and n being integers and m<n or n>m, the device modulating light from the luminance adjusting light source through the optical modulator and displaying an image,
the program enabling the computer to carry out processing comprising:
calculating an average value or weighted average value of color component values on a color-basis in pixel values corresponding to the n pixels based on the display image data;
selecting a luminance value corresponding to each of the pixels in the optical modulator among luminance component values in the pixel values corresponding to the n pixels based on the display image data;
determining an optical propagation characteristic of each of the pixels in the optical modulator based on a result of calculation by the average value calculating device and a result of selection by the luminance selecting; and
determining a control value for each of pixels in the optical modulator based on the optical propagation characteristics determined by the optical propagation characteristic determining.
16. A computer readable medium storing a program, that when executed by a computer, is operable for controlling an optical display device having an optical modulator that has a plurality of pixels whose optical propagation characteristics can be controlled independently and a luminance adjusting light source that has a plurality of light sources whose luminance can be adjusted independently, the pixels in the optical modulator and the light sources in the luminance adjusting light source being arranged to optically correspond at m:n, m and n being integers and m<n or n>m, the device modulating light from the luminance adjusting light source through the optical modulator and displaying an image,
the program enabling the computer to carry out processing, comprising:
converting RGB values corresponding to n pixels in the luminance adjusting light source corresponding to m pixels in the optical modulator into first pixel values in which the luminance component and color components of the RGB values are separated based on the display image data having pixel values including RGB values;
calculating an average value or weighted average value of the color component values on a color-basis among the first pixel values corresponding to the n pixels;
selecting luminance values corresponding to the m pixels in the optical modulator from the luminance component values among the first pixel values corresponding to the n pixels;
converting second pixel values into RGB values, the second pixel values including a result of calculating by the average value calculating and a result of selection by the luminance selecting;
provisionally determining the luminance of each of the light sources in the luminance modulating light source;
determining an optical propagation characteristic of each of the pixels in the optical modulator based on the luminance provisionally determined by the luminance provisionally determining and the RGB values obtained by converting by the second pixel value converting;
determining a control value for each of the pixels in the optical modulator based on the optical propagation characteristic determined by the first optical propagation characteristic determining;
determining luminance of each of the light sources in the luminance adjusting light sources based on the display image data; and
determining a control value for each of the light sources in the luminance modulating light source based on the luminance determined by the luminance determining.
17. A method of controlling an optical display device having an optical modulator that has a plurality of pixels whose optical propagation characteristics can be controlled independently and a luminance adjusting element that has a plurality of pixels whose optical propagation characteristics can be controlled independently, the pixels in the optical modulator and the pixels in the luminance adjusting element being arranged to optically correspond at m:n, m and n being integers and m<n or n>m, the device modulating light from a light source through the optical modulator and the luminance adjusting element and displaying an image,
the method, comprising:
calculating an average value or weighted average value of color component values on a color-basis in pixel values corresponding to the n pixels based on the display image data;
selecting a luminance value corresponding to each of the pixels in the optical modulator among luminance component values in the pixel values corresponding to the n pixels based on the display image data;
determining an optical propagation characteristic of each of the pixels in the optical modulator based on a result of calculating in the average value calculating and a result of selection by the luminance selecting; and
determining a control value for each the pixels in the optical modulator based on the optical propagation characteristics determined in the optical propagation characteristic determining.
18. A method of controlling an optical display device having an optical modulator that has a plurality of pixels whose optical propagation characteristics can be controlled independently and a luminance adjusting element that has a plurality of pixels whose optical propagation characteristics can be controlled independently, the pixels in the optical modulator and the pixels in the luminance adjusting element being arranged to optically correspond at m:n, m and n being integers and m<n or n>m, the device modulating light from a light source through the optical modulator and the luminance adjusting element and displaying an image,
the method, comprising;
converting RGB values corresponding to n pixels in the luminance adjusting element corresponding to m pixels in the optical modulator into first pixel values in which the luminance component and color components of the RGB values are separated based on the display image data having pixel values including RGB values;
calculating an average value or weighted average value of the color component values on a color-basis among the first pixel values corresponding to the n pixels;
selecting luminance values corresponding to the m pixels in the optical modulator from the luminance component values among the first pixel values corresponding to the n pixels;
converting second pixel values into RGB values, the second pixel values including a result of calculating in the average value calculating and a result of selection in the luminance selecting;
determining provisionally an optical propagation characteristic of each of the pixels in the luminance adjusting element;
determining an optical propagation characteristic of each of the pixels in the optical modulator based on the optical propagation characteristic provisionally determined in the optical propagation characteristic provisionally determining and a result of converting in the second pixel value converting;
determining a control value for each of the pixels in the optical modulator based on the optical propagation characteristic determined in the first optical propagation characteristic determining;
determining an optical propagation characteristic of each of the pixels in the luminance adjusting element based on the display image data; and
determining a control value for each of the pixels in the luminance adjusting element based on the optical propagation characteristic determined in the second optical propagation characteristic determining.
19. A method of controlling an optical display device that has a plurality of pixels whose optical propagation characteristics can be controlled independently and a luminance adjusting light source that has a plurality of light sources whose luminance can be adjusted independently, the pixels in the optical modulator and the light sources in the luminance adjusting light source being arranged to optically correspond at m:n, m and n being integers and m<n or n>m, the device modulating light from the luminance adjusting light source through the optical modulator and displaying an image,
the method, comprising:
calculating an average value or weighted average value of color component values on a color-basis in pixel values corresponding to the n pixels based on the display image data;
selecting a luminance value corresponding to each of the pixels in the optical modulator among luminance component values in the pixel values corresponding to the n pixels based on the display image data;
determining the optical propagation characteristic of each of the pixels in the optical modulator based on a result of calculating in the average value calculating and a result of selection in the luminance selecting; and
determining a control value for each pixel in the optical modulator based on the optical propagation characteristics determined in the optical propagation characteristic determining.
20. A method of controlling an optical display device that has a plurality of pixels whose optical propagation characteristics can be controlled independently and a luminance adjusting light source that has a plurality of light sources whose luminance can be adjusted independently, the pixels in the optical modulator and the light sources in the luminance adjusting light source being arranged to optically correspond at m:n, m and n being integers and m<n or n>m, the device modulating light from the luminance adjusting light source through the optical modulator and displaying an image,
the method, comprising:
converting RGB values corresponding to n light sources in the luminance modulating light source corresponding to m pixels in the optical modulator into first pixel values in which the luminance component and color components of the RGB values are separated based on display image data having pixel values including RGB values;
calculating an average value or weighted average value of the color component values on a color-basis among the first pixel values corresponding to the n pixels;
selecting luminance values corresponding to the m pixels in the optical modulator from the luminance component values among the first pixel values corresponding to the n pixels;
converting second pixel values including a result of calculating in the average value calculating and a result of selection in the luminance selecting;
determining provisionally luminance of each of the light sources in the luminance modulating light sources;
determining an optical propagation characteristic of each of the pixels in the optical modulator based on the luminance provisionally determined in the luminance provisionally determining;
determining a control value for each of the pixels in the optical modulator based on the optical propagation characteristic determined in the first optical propagation characteristic determining;
determining luminance of each of the light sources in the luminance adjusting light source based on the display image data; and
determining a control value for each of the light sources in the luminance modulating light source based on the luminance determined by the luminance determining.

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 polypropylene-based resin composition comprising:
(X) 5 to 99% by weight of a polypropylene resin having a structure with long chain branches, and
(Y) 1 to 95% by weight of a propylene-based block copolymer produced by sequential polymerization, which comprises:
(Y-1) a propylene (co)polymer, and
(Y-2) a propylene-ethylene copolymer,

wherein the resin (X) has the following properties (X-i) to (X-iv):
(X-i): MFR of 0.1 to 30.0 g10 minutes,
(X-ii): a molecular weight distribution MwMn of 3.0 to 10.0 measured by GPC and MzMw of 2.5 to 10.0,
(X-iii): a melt tension (MT) (unit: g) satisfying the relationship:
log(MT)\u2267\u22120.9\xd7log(MFR)+0.7, or
MT\u226715,
(X-iv): a content of p-xylene soluble components (CXS) at 25\xb0 C. of less than 5% by weight based on a total amount of the resin (X), and

the block copolymer (Y) has the following properties (Y-i) to (Y-v):
(Y-i): ratios of the amounts of the (Y-1) and (Y-2) of 50 to 99% by weight and 1 to 50% by weight, respectively, with the proviso that each ratio is calculated based on a total of 100% by weight of the block copolymer (Y),
(Y-ii): MFR of the block copolymer (Y) of 0.1 to 200.0 g10 minutes,
(Y-iii): melting point of the block copolymer (Y) of more than 155\xb0 C.,
(Y-iv): an ethylene content of the (Y-2) of 11.0 to 38.0% by weight, with the proviso that the ethylene content is calculated based on a total of 100% by weight of monomers constructing the (Y-2), and
(Y-v): an intrinsic viscosity \u03b7 (unit: dlg) of the (Y-2) measured at 135\xb0 C. in decalin of 5.3 or more.
2. The composition of claim 1, wherein the resin (X) further has the following property (X-v):
(X-v): a branching index g\u2032 of 0.30 or more and less than 1.00 at an absolute molecular weight Mabs of 1,000,000.
3. The composition of claim 2, wherein the resin (X) further has the following property (X-vi):
(X-vi): mm fraction of 95% or more in the propylene unit triads measured by 13C-NMR.
4. A polypropylene-based resin composition comprising:
100 parts by weight of the composition of claim 1, and
0.05 to 6.0 parts by weight of a blowing agent.
5. A polypropylene-based resin foamed sheet obtained by a process comprising subjecting the composition of claim 4 to extrusion.
6. A polypropylene-based resin multi-layer foamed sheet obtained by a process comprising subjecting the foamed sheet of claim 5 and a non-foamed layer comprising a thermoplastic resin composition to co-extrusion.
7. The multi-layer foamed sheet of claim 6, wherein the thermoplastic resin composition comprises:
100 parts by weight of a thermoplastic resin, and
50 parts by weight or less of an inorganic filler.
8. A molded article obtained by a process comprising subjecting the foamed sheet of claim 5 to thermoforming.
9. A molded article obtained by a process comprising subjecting the composition of claim 1 to injection molding, thermoforming, extrusion, blow molding or bead expansion molding.
10. A propylene-based resin composition comprising:
100 parts by weight of the composition of claim 1, and
(Z) more than 0 part by weight and 1000 parts by weight or less of another resin having none of the properties (X-i) to (X-iv) and (Y-i) to (Y-v).
11. The composition of claim 10, wherein the resin (Z) is a polypropylene-based resin.