All The Claims

1. A computerized derivable kinetic characterization measurement method for live cell kinetic characterization comprising the steps of:
a) Inputting kinetic recognition data for a plurality of time frames;
b) Performing single cell measurement using the kinetic recognition data for a plurality of time frames having single cell feature for a plurality of time frames output;
c) Performing kinetic measurement using the single cell feature for a plurality of time frames having kinetic feature output;
d) Performing trajectory measurement using the single cell feature for a plurality of time frames and the kinetic feature having trajectory feature output.
2. The kinetic characterization measurement method of claim 1 wherein the single cell measurement method performs cell morphological profiling measurement having cell morphological profiling feature output.
3. The kinetic characterization measurement method of claim 1 further comprises an interval measurement step using the kinetic feature having interval feature output.
4. The kinetic characterization measurement method of claim 3 further comprises a cell state classifier step using the interval feature to generate cell state output.
5. The kinetic characterization measurement method of claim 4 further comprises a state based measurement using the single cell feature, the kinetic feature and the cell state having state based feature output.
6. A computerized cell morphological profiling measurement method for live cell kinetic characterization comprising the steps of:
a) Inputting cell of interest mask;
b) Performing center determination using the cell of interest mask having cell center output;
c) Performing polar coordinate transformation using the cell center and the cell of interest mask having polar cell region output;
d) Performing polar domain morphological profiling measurement using the polar cell region having cell morphological profiling feature output.
7. The computerized cell morphological profiling measurement method of claim 6 wherein the cell morphological profiling feature is derived from a given angle range.
8. The cell morphological profiling feature derived from a given angle range of claim 7 selects feature from a set consisting of maximum radius, minimum radius, mean radius, normalized mean radius, radius standard deviation, radius coefficient of variation, processes count, mean process radius, normalized mean process radius, process radius standard deviation, process radius coefficient of variation, and rank statistics.
9. The computerized cell morphological profiling measurement method of claim 6 wherein the cell morphological profiling feature is derived from multiple angle ranges.
10. The cell morphological profiling feature derived from multiple angle ranges of claim 9 selects feature from a set consisting of mean of the features from multiple angle ranges, standard deviation of the features from multiple angle ranges, contrast of the features between two selected angle ranges, correlation of the features between multiple selected angle ranges.
11. The computerized cell morphological profiling measurement method of claim 6 further calculates change of at least one cell morphological profiling feature between a specified time interval.
12. The computerized cell morphological profiling measurement method of claim 6 further calculates trajectory feature of at least one cell morphological profiling feature for a specified time interval.
13. The computerized cell morphological profiling measurement method of claim 6 further inputs cell state and calculates state based trajectory feature of at least one cell morphological profiling feature for a specified time interval.
14. The computerized cell morphological profiling measurement method of claim 11 further inputs cell state and calculates state based feature for change of at least one cell morphological profiling feature for the specified time interval and a second specified time interval.
15. A computerized cell morphological grayscale profiling measurement method for live cell kinetic characterization comprising the steps of:
a) Inputting cell of interest mask and cell image;
b) Performing center determination using the cell of interest mask having cell center output;
c) Performing polar coordinate transformation using the cell center, the cell of interest mask and the cell image having polar cell region and polar cell image output;
d) Performing polar domain grayscale morphological profiling measurement using the polar cell region and polar cell image having cell morphological grayscale profiling feature output.
16. The cell morphological grayscale profiling feature of claim 15 is derived from a given angle range and selects feature from a set consisting of maximum intensity, minimum intensity, mean intensity, normalized mean intensity, intensity standard deviation, intensity coefficient of variation and intensity rank statistics.
17. The computerized cell morphological grayscale profiling measurement method of claim 15 wherein the cell morphological grayscale profiling feature is derived from multiple angle ranges.
18. The computerized cell morphological grayscale profiling measurement method of claim 15 further calculates change of at least one cell morphological grayscale profiling feature between a specified time interval.
19. The computerized cell morphological grayscale profiling measurement method of claim 15 further calculates trajectory feature of at least one cell morphological grayscale profiling feature for a specified time interval.
20. The computerized cell morphological grayscale profiling measurement method of claim 15 further inputs cell state and calculates state based trajectory feature of at least one cell morphological grayscale profiling feature for a specified time interval.

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 annular support for a vane, the vane having an aerofoil section with a radially inner base and a radially outer tip, the annular support comprising a gas path surface which, in use, faces an annular gas path,
wherein the annular support is locally thickened by a projection extending radially from the gas path surface, the projection at least partly defining the perimeter of an aperture for receiving the tip or base of the aerofoil section.
2. A casing for a vane, the vane having an aerofoil section with a radially inner base and a radially outer tip, the casing comprising a radially inner casing and a radially outer casing defining an annular gas path therebetween,
wherein the radially inner casing is locally thickened by a projection extending radially outwards into the gas path, the projection at least partly defining the perimeter of an aperture for receiving the base of the aerofoil section andor the radially outer casing is locally thickened by a projection extending radially inwards into the gas path, the projection at least partly defining the perimeter of an aperture for receiving the tip of the aerofoil section.
3. A vane assembly comprising:
a vane having an aerofoil section with a radially inner base and a radially outer tip;
a radially inner casing and a radially outer casing defining an annular gas path therebetween,
wherein the radially inner casing is locally thickened by a projection extending radially outwards into the gas path, the projection at least partly defining the perimeter of an aperture which houses the base of the aerofoil section andor the radially outer casing is locally thickened by a projection extending radially inwards into the gas path, the projection at least partly defining the perimeter of an aperture which houses the tip of the aerofoil section.
4. A casing according to claim 2, wherein the radially inner casing is locally thickened by a projection extending radially outwards into the gas path, the projection at least partly defining the perimeter of an aperture which housesfor receiving the base of the aerofoil section and the radially outer casing is locally thickened by a projection extending radially inwards into the gas path, the projection at least partly defining the perimeter of an aperture which housesfor receiving the tip of the aerofoil section.
5. A support according to claim 1 wherein the or each projection has a radially extending side surface that is curved or sloped.
6. A support according to claim 1 wherein the or each aperture is at least partly lined with a liner.
7. A support according to claim 1 wherein the liner extends beyond the projection.
8. An annular support for a vane, the vane having an aerofoil section with a radially inner base and a radially outer tip, the annular support comprising:
a gas path surface which, in use, faces an annular gas path, the gas path surface having an aperture for receiving the tip or base of the aerofoil section, and
a liner lining the aperture,
wherein the liner extends from the aperture beyond the gas path surface.
9. A casing for a vane, the vane having an aerofoil section with a radially inner base and a radially outer tip, the casing comprising:
a radially inner casing having an aperture for receiving the radially inner base of the vane; and
a radially outer casing having an aperture for receiving the radially outer tip of the vane, the radially inner casing and radially outer casing defining an annular gas path therebetween; wherein the aperture in the radially inner casing is provided with a liner extending radially beyond the aperture outwards into the gas path andor the aperture in the radially outer casing is provided with a liner extending radially beyond the aperture inwards into the gas path.
10. A vane assembly comprising:
a vane having an aerofoil section with a radially inner base and a radially outer tip;
a radially inner casing having an aperture housing the radially inner base of the vane; and
a radially outer casing having an aperture housing the radially outer tip of the vane, the radially inner casing and radially outer casing defining an annular gas path therebetween;
wherein the aperture in the radially inner casing is provided with a liner extending radially beyond the aperture outwards into the gas path andor the aperture in the radially outer casing is provided with a liner extending radially beyond the aperture inwards into the gas path.
11. A support according to claim 8 wherein the portion of the or each liner extending beyond the respective aperture has a radially extending side surface which is curved or sloped.
12. (canceled)
13. (canceled)
14. An assembly according to claim 3 wherein the radially inner casing is locally thickened by a projection extending radially outwards into the gas path, the projection at least partly defining the perimeter of an aperture which housesfor receiving the base of the aerofoil section and the radially outer casing is locally thickened by a projection extending radially inwards into the gas path, the projection at least partly defining the perimeter of an aperture which housesfor receiving the tip of the aerofoil section.
15. A casing according to claim 2 wherein the or each projection has a radially extending side surface that is curved or sloped.
16. An assembly according to claim 3 wherein the or each projection has a radially extending side surface that is curved or sloped.
17. A casing according to claim 2 wherein the or each aperture is at least partly lined with a liner.
18. An assembly according to claim 3 wherein the or each aperture is at least partly lined with a liner.
19. A casing according to claim 2 wherein the liner extends beyond the projection.
20. An assembly according to claim 3 wherein the liner extends beyond the projection.
21. A casing according to claim 9 wherein the portion of the or each liner extending beyond the respective aperture has a radially extending side surface which is curved or sloped.
22. An assembly according to claim 10 wherein the portion of the or each liner extending beyond the respective aperture has a radially extending side surface which is curved or sloped.

1. A mat for use on an underlying surface including at least one of a carpeted surface and a hard floor surface, the mat comprising:
a body comprising a substantially planar upper surface, a perimeter defining an outer edge of the body, and a lower surface substantially parallel to the upper surface, and
a slip-resistant layer bonded to the lower surface of the body, the slip-resistant layer having a thickness not greater than 0.020 inches and having a static coefficient of friction of at least 0.50 to facilitate stable placement of said mat with respect to said underlying surface.
2. The mat of claim 1, wherein the body of the mat further comprises at least one of polyvinyl chloride (PVC), polypropylene, high density polyethylene, polyester copolymers, or polycarbonate.
3. The mat of claim 1, wherein the slip-resistant layer further comprises at least one of ethylene vinyl acetate or polyurethane.
4. The mat of claim 1, wherein the slip-resistant layer has a static coefficient of friction of at least 0.60.
5. The mat of claim 1, wherein the slip-resistant layer is in the form of a series of strips.
6. The mat of claim 5, wherein the series of strips longitudinally extend along the body to form a layer that includes voids between the strips.
7. The mat of claim 1, wherein the slip-resistant layer is coextensive with the mat body.
8. A mat comprising:
a body formed with a predetermined thickness between a first planar surface of the body formed opposite to a second planar surface of the body; and
a slip-resistant layer formed with a predetermined thickness that is less than the predetermined thickness of the body, the slip-resistant layer contiguously coupled in parallel with only one of the first planar surface and the second planar surface such that the body and the slip-resistant layer form a single unitary member for use on an underlying floor comprising at least one of a carpeted floor surface or a hard floor surface;
the slip-resistant layer alignable with the underlying floor to create a static coefficient of friction between the slip resistant layer and the underlying floor of at least 0.50.
9. The mat of claim 8, wherein the body and the slip-resistance layer are coupled by an extrusion process.
10. The mat of claim 8, wherein the body and the slip-resistance layer are coupled by a lamination process.
11. The mat of claim 8, wherein the slip resistant layer comprises a high coefficient of friction polymeric material.
12. The mat of claim 11, where the polymeric material comprises at least one of a polyurethane or a poly vinyl acetate.
13. The mat of claim 8, wherein the static coefficient of friction between the slip-resistant layer and the underlying floor is higher than the static coefficient of friction between the body and the underlying floor.
14. The mat of claim 8, wherein the slip resistant layer separates the body from the underlying floor.
15. The mat of claim 8, wherein the slip resistant layer separates only a portion of the body from the underlying floor.
16. A mat comprising:
a slip-resistant layer formed to include a first planar surface and a second planar surface that is parallel and opposite the first planar surface; and
a body coupled with only the first planar surface of the slip-resistant layer such that the body and the slip-resistant layer are layers formed as a single unitary structure having a thickness, in which a first portion of the thickness is the body and a second portion of the thickness is the slip-resistant layer, the first portion being greater than the second portion; and
wherein the single unitary structure is alignable with an underlying floor to create a static coefficient of friction between second planar surface of the slip-resistant layer and the underlying floor of greater than 0.50.
17. The mat of claim 16, wherein the body comprises at least one of polyvinyl chloride (PVC), polypropylene, high density polyethylene, polyester copolymers, or polycarbonate, and the slip resistant layer comprises at least one of ethylene vinyl acetate or polyurethane.
18. The mat of claim 16, wherein any form of adhesive substance is absent from the second planar surface.
19. The mat of claim 16, wherein the slip-resistant layer is bonded to a lower surface of the body by extrusion of the slip-resistant layer and the body.
20. The mat of claim 16, wherein a thickness between the first planar surface and the second planar surface is not greater than 0.020 inches.

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 system for providing assured recovery and replication, comprising:
a master data source configured to store application data;
a replica data source configured to replicate the application data stored in the master data source;
a volume snapshot service configured to create a master snapshot associated with the master data source, wherein the master snapshot copies the application data stored in the master data source; and
a replication server in communication with the master data source and the replica data source, wherein the replication server includes one or more processors configured to:
confirm that the master data source can be recovered from the replica data source in response to validating that the application data copied in the master snapshot and the application data replicated in the replica data source have a consistent state;
create a replica snapshot associated with the replica data source in response to a request to recover the master data source from the replica data source, wherein the replica snapshot copies the application data replicated in the replica data source;
assign an identity associated with the master data source to the replica data source to transfer control over storing the application data from the master data source to the replica data source;
resume replicating the application data on a virtual machine disk file associated with the replica snapshot.
2. The system of claim 1, wherein the volume snapshot service records a bookmark associated with the master snapshot to distinguish the master snapshot from one or more additional master snapshots created with the volume snapshot service.
3. The system of claim 1, wherein the one or more processors associated with the replication server are further configured to:
compare metadata that describes the master snapshot to metadata that describes the replica data source;
validate the consistent state between the master snapshot and the replica data source in response to confirming that no differences exist between the metadata that describes the master snapshot and the metadata that describes the replica data source; and
establish the consistent state between the master snapshot and the replica data source at a nearest previous point in time in response to determining that one or more differences exist between the metadata that describes the master snapshot and the metadata that describes the replica data source.
4. The system of claim 1, wherein the one or more processors associated with the replication server are further configured to:
perform a binary difference comparison between the master snapshot and the replica data source;
validate the consistent state between the master snapshot and the replica data source in response to the binary difference comparison confirming that no differences exist between the master snapshot and the replica data source; and
establish the consistent state between the master snapshot and the replica data source at a nearest previous point in time in response to the binary difference comparison identifying one or more differences between the master snapshot and the replica data source.
5. The system of claim 4, wherein the one or more processors associated with the replication server limit the binary difference comparison to one or more files that have changed in the master snapshot or the replica data source.
6. The system of claim 1, wherein the one or more processors associated with the replication server are further configured to:
suspend replicating the application data stored in the master data source to the replica data source while validating the consistent state between the master snapshot and the replica data source; and
resume replicating the application data stored in the master data source to the replica data source in response to validating the consistent state between the master snapshot and the replica data source.
7. The system of claim 1, wherein the one or more processors associated with the replication server are further configured to:
compare the master snapshot to the replica snapshot associated with the replica data source to validate the consistent state between the master snapshot and the replica data source; and
continue replicating the application data stored in the master data source to the replica data source while comparing the master snapshot to the replica snapshot to validate the consistent state between the master snapshot and the replica data source.
8. The system of claim 1, wherein the one or more processors associated with the replication server are further configured to:
replicate information associated with an application and an operating system that interacts with the master data source to the virtual machine disk file, wherein the one or more processors create the replica snapshot associated with the replica data source from the virtual machine disk file; and
boot a virtual machine created from the virtual machine disk file, wherein the one or more processors assign the identity associated with the master data source to the replica data source in response to verifying that the application and the operating system have a healthy state in the virtual machine created from the virtual machine disk file.
9. The system of claim 1, wherein the one or more processors are further configured to generate a report that describes any delays associated with replicating the application data to the replica data source or the virtual machine disk file based on one or more timestamps included in one or more messages associated with replicating the application data.
10. The system of claim 1, wherein the one or more processors are further configured to:
execute one or more operations that apply one or more changes to the application data stored in the master data source; and
generate a report that describes whether the master data source and the replica data source are correctly replicating based on whether the one or more changes applied to the master data source have been applied to the replica data source.
11. A method for providing assured recovery and replication, comprising:
replicating application data stored in a master data source on a replica data source;
invoking a volume snapshot service to create a master snapshot associated with the master data source, wherein the master snapshot copies the application data stored in the master data source;
confirming that the master data source can be recovered from the replica data source in response to a replication server validating that the application data copied in the master snapshot and the application data replicated in the replica data source have a consistent state;
creating a replica snapshot associated with the replica data source in response to a request to recover the master data source from the replica data source, wherein the replica snapshot copies the application data replicated in the replica data source;
assigning an identity associated with the master data source to the replica data source, wherein the replication server assigns the identity associated with the master data source to the replica data source to cause the replica data source to assume control over storing the application data from the master data source; and
replicating the application data on a virtual machine disk file associated with the replica snapshot in response to the replica data source assuming control over storing the application data from the master data source.
12. The method of claim 11, wherein the volume snapshot service records a bookmark associated with the master snapshot to distinguish the master snapshot from one or more additional master snapshots created with the volume snapshot service.
13. The method of claim 11, further comprising:
comparing metadata that describes the master snapshot to metadata that describes the replica data source;
validating the consistent state between the master snapshot and the replica data source in response to confirming that no differences exist between the metadata that describes the master snapshot and the metadata that describes the replica data source; and
establishing the consistent state between the master snapshot and the replica data source at a nearest previous point in time in response to determining that one or more differences exist between the metadata that describes the master snapshot and the metadata that describes the replica data source.
14. The method of claim 11, further comprising:
performing a binary difference comparison between the master snapshot and the replica data source;
validating the consistent state between the master snapshot and the replica data source in response to the binary difference comparison confirming that no differences exist between the master snapshot and the replica data source; and
establishing the consistent state between the master snapshot and the replica data source at a nearest previous point in time in response to the binary difference comparison identifying one or more differences between the master snapshot and the replica data source.
15. The method of claim 14, further comprising limiting the binary difference comparison to one or more files that have changed in the master snapshot or the replica data source.
16. The method of claim 11, further comprising:
suspending replication between the application data stored in the master data source and the replicated application data stored in the replica data source while validating the consistent state between the master snapshot and the replica data source; and
resuming replication between the application data stored in the master data source and the replicated application data stored in the replica data source in response to validating the consistent state between the master snapshot and the replica data source.
17. The method of claim 11, further comprising:
comparing the master snapshot to the replica snapshot associated with the replica data source to validate the consistent state between the master snapshot and the replica data source; and
continuing to replicate the application data stored in the master data source on the replica data source while validating the consistent state between the master snapshot and the replica data source.
18. The method of claim 11, further comprising:
replicating information associated with an application and an operating system that interacts with the master data source to the virtual machine disk file, wherein the replication server creates the replica snapshot associated with the replica data source from the virtual machine disk file; and
booting a virtual machine created from the virtual machine disk file, wherein the replication server assigns the identity associated with the master data source to the replica data source in response to verifying that the application and the operating system have a healthy state in the virtual machine created from the virtual machine disk file.
19. The method of claim 11, further comprising generating a report that describes any delays associated with replicating the application data to the replica data source or the virtual machine disk file based on one or more timestamps included in one or more messages associated with replicating the application data.
20. The method of claim 11, further comprising:
executing one or more operations that apply one or more changes to the application data stored in the master data source; and
generating a report that describes whether the master data source and the replica data source are correctly replicating based on whether the one or more changes applied to the master data source have been applied to the replica data source.