All The Claims

1.-11. (canceled)
12. A compound represented by the following structural formula:
13. A solid phase matrix represented by the general formula:
M-SP-L,

wherein M designates the matrix backbone, SP designates a spacer, and L designates a ligand represented by the following structural formulas:
14. The solid phase matrix of claim 2, wherein the matrix backbone is agarose.
15. The solid phase matrix of claim 2, wherein the spacer SP is represented by the following formula:
\u2014(O\u2014CH2CH(OH)\u2014CH2)m\u2014, wherein m is an integer from 1 to 10.
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 process for adiabatically prereforming a feedstock, said process comprising:
providing an adiabatic reactor;
providing a catalyst comprising 1 to 20 wt. % nickel and 0.4 to 5 wt. % potassium, wherein the catalyst has an overall catalyst porosity of 25 to 50%, wherein 20 to 80% of the overall catalyst porosity is contributed by pores having pore diameters of at least 500 \u212b;
providing the feedstock comprising natural gas and steam, wherein the natural gas contains an initial concentration of higher hydrocarbons, and a ratio of steam to natural gas in the feedstock is from 1.5:1 to 5:1;
preheating the feedstock to a temperature of 300 to 700\xb0 C. to provide a heated feedstock;
providing the heated feedstock to the reactor; and
producing a product comprising hydrogen, carbon monoxide, carbon dioxide, unreacted methane, and steam, wherein said product contains a reduced concentration of higher hydrocarbons less than the initial concentration of higher hydrocarbons, to prereform the feedstock:
2. The process of claim 1, further comprising feeding the product to a fired steam-methane reformer to further reform the product.
3. The process of claim 1, wherein the natural gas is desulfurized to a sulfur content of less than about 100 ppb before providing the feedstock to the reactor.
4. The process of claim 1, wherein the natural gas is desulfurized to a sulfur content of less than about 30 ppb before providing the feedstock to the reactor.
5. The process of claim 1, wherein the feedstock contains hydrogen gas.
6. The process of claim 5, wherein the feedstock contains more than about 0.2% hydrogen gas.
7. The process of claim 1, wherein the catalyst comprises 5 to 20 wt. % nickel.
8. The process of claim 1, wherein the catalyst comprises 10 to 20 wt. % nickel.
9. The process of claim 1, wherein the catalyst is supported on calcium aluminate.
10. The process of claim 1, wherein the catalyst is supported on magnesium aluminate.
11. The process of claim 1, wherein the catalyst has an overall porosity of 30 to 45%.
12. The process of claim 1, wherein 50 to 80% of the catalyst porosity is contributed by pores having pore diameters of at least 500 \u212b.
13. The process of claim 1, wherein the catalyst has a median pore diameter of 1000 \u212b to 5000 \u212b.
14. The process of claim 1, wherein the catalyst has a median pore diameter of 1500 \u212b to 3000 \u212b.
15. The process of claim 1, wherein the catalyst has a nitrogen BET surface area from 2 to 10 m2g
16. The process of claim 1, wherein the catalyst has a nitrogen BET surface area from 2 to 8 m2g.
17. The process of claim 1, wherein the catalyst contains 0.4 to 2 wt. % potassium.
18. The process of claim 1, wherein the catalyst contains 0.5 to 1.5 wt. % potassium.
19. The process of claim 1, wherein the catalyst has a particle diameter from 1 mm to 50 mm.
20. The process of claim 1, wherein the catalyst has a particle diameter from 6 mm to 50 mm.
21. The process of claim 1, wherein a mixture of nitrogen gas and hydrogen gas is provided to the reactor prior to providing the feedstock to the reactor, to reduce the catalyst inside the reactor.
22. The process of claim 21, wherein the mixture of nitrogen gas and hydrogen gas contains a concentration of hydrogen ranging from 0.5 to 50%.
23. The process of claim 1, wherein a concentration of methane in the natural gas is 85 to 99.9%.
24. The process of claim 1, wherein an initial concentration of higher hydrocarbons in the natural gas is 1 to 15%.
25. The process of claim 1, wherein a concentration of ethane in the natural gas is 0.1 to 10%, a concentration of propane in the natural gas is 0.1 to 5%, and a concentration of butane in the natural gas is 0.1 to 2%.
26. The process of claim 1, wherein the ratio of steam to natural gas in the feedstock ranges from 1.5:1 to 3:1.
27. The process of claim 1, wherein the reduced concentration of higher hydrocarbons is 70% less than the initial concentration of higher hydrocarbons.
28. The process of claim 1, wherein the reduced concentration of higher hydrocarbons is 80% less than the initial concentration of higher hydrocarbons.
29. The process of claim 1, wherein the reduced concentration of higher hydrocarbons is 90% less than the initial concentration of higher hydrocarbons.
30. The process of claim 1, wherein at least one additional prereforming catalyst is included in the reactor in addition to the catalyst of claim 1.
31. The process of claim 30, wherein the additional catalyst is placed in a top portion of the reactor, above the catalyst of claim 1, and the feedstock is preheated to a temperature of 300 to 550\xb0 C. to provide a heated feedstock.
32. The process of claim 30, wherein the catalyst of claim 1 is placed in a top portion of the reactor, above the additional catalyst, and the feedstock is preheated to a temperature of 550 to 750\xb0 C. to provide a heated feedstock.
33. An apparatus adapted to perform the process of claim 1, said apparatus comprising:
an adiabatic reactor;
a feed source containing natural gas and steam;
valves and pipes connecting the feed source and the reactor; and
a catalyst loaded in the reactor and comprising 1 to 20 wt. % nickel and 0.4 to 5 wt. % potassium, having an overall catalyst porosity of 25 to 50%, wherein 20 to 80% of the catalyst porosity is contributed by pores having pore diameters of at least 500 \u212b.
34. A catalyst for adiabatically prereforming a feedstock, said catalyst comprising 1 to 20 wt. % nickel and 0.4 to 5% potassium, on a calcium aluminate support, wherein an overall catalyst porosity is greater than 40% with greater than 70% of the overall catalyst porosity contributed by pores having pore diameters of at least 500 \u212b, a median pore diameter is greater than 2600 \u212b, and a nitrogen BET area is less than 6.5 m2g.
35. The catalyst of claim 34, wherein the catalyst comprises 5 to 20% nickel.
36. The catalyst of claim 34, wherein the catalyst comprises 10 to 20% nickel.
37. The catalyst of claim 34, wherein the catalyst comprises 0.4 to 2% potassium.
38. The catalyst of claim 34, wherein the catalyst comprises 0.5 to 1.5% potassium.
39. The catalyst of claim 34, wherein greater than 80% of an overall catalyst porosity is contributed by pores having pore diameters of at least 500 \u212b.

1.-20. (canceled)
21. An image forming apparatus comprising:
a belt member effecting a circular movement;
a supporting member for supporting said belt member;
a tension member for giving a tension to said belt member;
a drive receiving member for receiving a force by the circular movement of said belt member; and
a drive converting member for mechanically converting the force input to said drive receiving member into a force to change an angle of said supporting member,
wherein the force that arises from the circular movement is transmitted by bringing said belt member into contact with said drive receiving member, and
wherein said belt member bears a toner image or a transferring material.
22. An image forming apparatus according to claim 21, wherein said supporting member has a roller shape, and the angle of said supporting member is an angle of a center axis of said supporting member.
23. An image forming apparatus according to claim 21, wherein said belt member has a rib member, and said drive receiving member receive the force by bringing the rib member into contact with said drive receiving member.

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. In a computer-based system having a display and a controller device for interfacing with an interactive program, a method for determining the position of the controller device, the method comprising:
(a) initializing the computer-based system to establish a starting position of the controller device relative to the display, the initializing including,
(i) capturing an image of the display using a camera integrated in the controller device;
(ii) capturing, at the controller device, an image of a radiation pattern projected by the controller device; and
(iii) analyzing the captured image of the display and the image of the radiation pattern projected by the controller device to determine a size of the display in the captured image at a distance of the controller device as determined by the image of the projected radiation pattern;
(b) capturing successive images of the display at the controller device;
(c) determining a position of the controller device relative to the display based on a perspective distortion of the display in the captured successive images of the display;
(d) providing the determined position of the controller to the computer-based system to interface with the interactive program to cause an action by the interactive program.
2. The method of claim 1, further comprising,
determining an orientation of the controller device based on a location and orientation of the display in the captured image of the display.
3. The method of claim 2, wherein the orientation of the controller device is selected from the group consisting of pitch, roll, and yaw.
4. The method of claim 1, further comprising,
determining movement of the controller device by tracking the position of the controller at the time of each captured successive image.
5. The method of claim 1, wherein the radiation pattern projected by the controller is generated by an IR projector.
6. The method of claim 1,
wherein the capturing successive images of the display and the determining a position of the controller device relative to the display are performed when the controller device is oriented so as to enable capture of images of the display; and
wherein when the controller device is oriented so as not to enable capture of images of the display and consequently the position of the controller device cannot be determined based on the captured successive images of the display, then performing the following operations:
projecting the radiation pattern from the controller device;
capturing successive images of the radiation pattern at the controller device; and
estimating the position of the controller device based on the captured successive images of the radiation pattern.
7. The method of claim 1, wherein the operation of capturing an image of the display includes capturing an image of a portion of the display sufficient to enable determination of the size of the display.
8. The method of claim 1, wherein the operation of capturing successive images of the display includes capturing successive images of a portion of the display sufficient to enable determination of the position of the controller device.
9. A system for interfacing with an interactive program, comprising:
a display for displaying the interactive program;
a controller device for interfacing with the interactive program, the controller device including,
a projector for projecting a radiation pattern,
a first camera for capturing an image of the projected radiation pattern,
a second camera for capturing images of the display;
initialization logic for initializing the system to establish a starting position of the controller device relative to the display, the initialization logic configured to,
(i) capture an image of the display using the second camera,
(ii) capture an image of a radiation pattern projected by the projector using the first camera, and
(iii) analyzing the captured image of the display and the image of the radiation pattern to determine a size of the display in the captured image at a distance of the controller device as determined by the image of the projected radiation pattern;
position determination logic for determining the position of the controller device relative to the display, the position determination logic configured to,
(i) capture successive images of the display at the controller device using the second camera,
(ii) determine a position of the controller device relative to the display based on a perspective distortion of the display in the captured successive images of the display;

communication logic for providing the determined position of the controller to the computer-based system to interface with the interactive program.
10. The system of claim 9, further comprising,
orientation determination logic for determining an orientation of the controller device based on a location and orientation of the display in the captured successive images of the display.
11. The system of claim 10, wherein the orientation of the controller device is selected from the group consisting of pitch, roll, and yaw.
12. The system of claim 9, further comprising,
movement determination logic for determining movement of the controller device by tracking the position of the controller at the time of each captured successive image.
13. The system of claim 9, wherein the capture of an image of the display includes capture of an image of a portion of the display sufficient to enable determination of the size of the display.
14. The system of claim 9, wherein the capture of successive images of the display includes capture of successive images of a portion of the display sufficient to enable determination of the position of the controller device.
15. The system of claim 9, further comprising,
auxiliary position determination logic configured to perform the following operations when the position of the controller device cannot be determined based on the captured successive images of the display:
projecting the radiation pattern from the controller device;
capturing successive images of the radiation pattern at the controller device; and
estimating the position of the controller device based on the captured successive images of the radiation pattern.