A device for suspending a turbojet casing, the device including a shouldered pin extending through aligned orifices of two lugs of a clevis secured to the casing. A protection piece for providing protection against wear is mounted on each lug of the clevis and has the shouldered pin passing therethrough, the protection piece being prevented from moving in rotation on the lug by co-operating shapes.

The invention relates to a vehicle seat comprising a seat part, comprising a back rest part and comprising a linear guide device for translational adjustment of the vehicle seat, in which the linear guide device comprises a guide rail means and a slide rail means which is displaceable with respect thereto, in which a bearing means interacts between the slide rail means and the guide rail means and at least comprises slide rod elements so as to mount the slide rail means with respect to the guide rail means, and in which the slide rod element comprises an elongate undulating base body, the slide rod element having an effective external diameter which is greater, at least when the slide rod element is radially unloaded, than a core external diameter of the elongate undulating base body.

The pulley device for a belt or chain tensioning idler or runner roller comprises a pulley (12), a roller bearing (14), a spacer (18) for the mounting of the rolling bearing (14) and being capable of pressing against an element external to the device, a fastening screw (20) immobilized axially relative to the spacer (18), and at least one retaining ring (22) which is elastic radially and which is mounted inside a groove (60) made on the fastening screw (20), a portion of the ring (22) protruding radially into a recess (52) of the spacer (18).

A bearing support plate for use in a generator has a radially enlarged flange with a first cylindrical portion extending from the flange in one direction which will provide a bearing support for an outer race of a ball bearing, and a radially inner cylindrical portion extending in an opposed direction that will be away from the ball bearing relative to the flange. The flange is generally cylindrical but has a truncated portion over a circumferential extent. The first cylindrical portion is formed with radially enlarged portions with intermediate radially thinner portions. The flange includes bolt holes circumferentially aligned with the radially thinner portions.

A bearing cage assembly (100) comprises a plurality of discrete bridge elements (206) disposed between adjacent rolling elements (112) and coupled between first and second axially spaced cage support wire rings (102, 104) which are appropriately tensioned. Spacers (110) are disposed between adjacent bridge elements and engage the bridge elements in a piloted engagement. The bridge elements maintain a separation between rolling elements, retain the rolling elements within the bearing assembly, and function as a lubrication reservoir for grease lubricated bearings. Profiled surfaces on the bridge elements position the bearing cage assembly on at least one axial end of the rolling elements.

Administering message acknowledgements in a parallel computer that includes compute nodes, with each compute node including a processor and a messaging accelerator, includes: storing in a list, by a processor of a compute node, a message descriptor describing a message and an acknowledgement request descriptor describing a request for an acknowledgement of receipt of the message; processing, by a messaging accelerator of the compute node, the list, including transmitting, to a target compute node, the message described by the message descriptor and transmitting, to the target compute node, the request described by the acknowledgement request descriptor; receiving, by the messaging accelerator from the target compute node, an acknowledgement of receipt of the message, including notifying the processor of receipt of the acknowledgement; and removing, by the processor from the list, the message descriptor and the acknowledgment request descriptor.

The techniques described herein implement an operating system that can reliably process time sensitive information in non real-time manner. Thus, the operating system described herein is capable of processing an instance of time sensitive input during a time period after the instance of time sensitive input is received (e.g., at a future point in time). To accomplish this, the techniques timestamp each instance of time sensitive input when it is received at a device. The techniques then store the timestamped instance of time sensitive input in a temporary queue, and make the timestamped instance available to the operating system at a time period after the time period when it is received, as indicated by the timestamp. Additional techniques described herein prioritize the activation of a driver configured to receive the time sensitive information during a boot sequence or a reboot sequence.

A status management device is presented, the device including multiple first application units for monitoring status information indicating a status of a management target, multiple second application units for outputting first acquisition request information of the status information with identification information of the management target, a search unit for outputting a storage location corresponding to the identification information when the first acquisition request information is received from the second application unit, a request unit for outputting second acquisition request information of the status information to the first application unit corresponding to the outputted storage location, and a transmission unit for outputting the status information supplied from the first application unit in response to the second acquisition request information to the second application unit which corresponds to a request source of the first acquisition request information.

The invention includes an API gateway server that monitors and controls the distribution of API elements from API sources to application developers based on a distribution rule set.

A method for inserting attachments into an electronic message is provided. The method may include searching a keyword database to determine if a content of the electronic message includes a keyword, a key phrase, or a key sentence defined in the keyword database. The method may also include applying a condition to a file database, if the determination is affirmative, so as to search for at least a candidate item. The candidate item may be presented in a menu to the user. The method may further include enabling, in response to the user's confirmation of the candidate item, the confirmed candidate item to be inserted into the electronic message automatically to become an attachment thereto.

A service may be provided that reads sensors, and that communicates information based on the sensor readings to applications. In one example, an operating system provides a sensor interface that allows programs that run on a machine to read the values of sensors (such as an accelerometer, light meter, etc.). A service may use the interface to read the value of sensors, and may receive subscriptions to sensor values from other programs. The service may then generate messages that contain the sensor value, and may provide these messages to programs that have subscribed to the messages. The messages may contain raw sensor data. Or, the messages may contain information that is derived from the sensor data and/or from other data.

Methods and apparatus for correlating event notifications between agents in a management network are provided. An agent constructs a network notification in response to receiving an event notification. If the received event notification is associated with a prior notification already received and stored by the agent, a correlation attribute is added to the constructed network notification. If the received notification matches a peer agent notification category that another agent in the management network is interested in receiving, the constructed network notification is sent to the other agent.

An apparatus and a method support a selective suspend mode in a driver for any one of at least two devices constituting a composite network device. When a device of the driver requests suspend mode transition, a Physical Device Object (PDO) constituting a driver of the composite network device is identified by a PDO check part. A suspend mode transition request information of the device is sent to an operating system through the PDO. When the operating system allows the suspend mode transition, a control part sends suspend mode transition indication information to the device through the PDO.

An update platform is described that collectively handles driver and firmware updates for hardware resources of a computing device based on dependencies associated with the updates. The update platform may instantiate representations of each individual hardware resource as abstractions through which detection, analysis, acquisition, deployment, installation, and tracking of updates is managed. Using the representations, the update platform discovers available updates, matches configuration packages for the updates to appropriate resources, and initiates installation of the configuration packages. The update platform is further configured to recognize dependencies associated with the configuration packages. When dependencies are detected, corresponding configuration packages are marked to reflect the dependencies and activation is suspended until the dependencies are satisfied. Upon satisfaction of the dependencies, the dependencies are cleared and the configuration packages are activated. Configuration packages that are not associated with dependencies may be installed and activated “normally” at any time.

A method, system and computer program product are disclosed for routing performance data to compute nodes. According to one aspect of the present disclosure each of a plurality of compute nodes are assigned a topic. Each topic may be associated with a set of calculations. Labeled performance metrics for an application are received. Each performance metric is labeled with a context under which the performance metric was collected. A topic is associated with each of the performance metrics based on the labeled context. Each respective node listens for a topic assigned to it in order to access the performance metrics associated with the assigned topic. Each respective node analyzes the performance metrics associated with the topic assigned to it.

An exemplary method includes a broker-based messaging system detecting a request provided by a software application for the software application to connect to any one of a plurality of brokers included in a cluster of brokers, dynamically identifying, in response to the request and in accordance with a connection distribution heuristic, a broker included in the cluster of brokers and that is available for connection to the software application, and attempting to establish a connection between the software application and the broker. Corresponding methods and systems are also disclosed.

A system, method, and computer readable medium for asynchronous live migration of applications between two or more servers. The computer readable medium includes computer-executable instructions for execution by a processing system. Primary applications runs on primary hosts and one or more replicated instances of each primary application run on one or more backup hosts. Asynchronous live migration is provided through a combination of process replication, logging, barrier synchronization, checkpointing, reliable messaging and message playback. The live migration is transparent to the application and requires no modification to the application, operating system, networking stack or libraries.

Through an asynchronous callback enhancement, a thread makes a non-blocking request (e.g., send, receive, I/O) to a message passing interface library, and a callback routine is associated with the request as an asynchronous callback to the thread. The callback is queued for execution in the requesting thread and so has a deterministic execution context. Callback queuing may occur in response to another thread detecting that the request is complete. Further control over callback execution is provided by state transitions which determine whether the thread is open to processing (e.g., executing) an asynchronous callback. Callback association is done by a broad or by narrow association routines. An application which has processes organized in ranks, each including a communication thread with associated callback(s), and multiple worker threads. Interruptible wait enhancements may also be present.

An application gateway enables controlled communication between application components within a browser based environment while maintaining a level of isolation of the individual application components. A dispatching API wrapper and a listening API wrapper are registered for each of a plurality of application components. The registered API wrappers are used to send and receive communications from the associated application components. For example, a first application component can dispatch an action to a second application component via the first application component's dispatching API wrapper. The second application component can receive the action via the second application component's listening API wrapper. As another example, a first application component can dispatch an event that broadcasts a state to other application components via the first application component's dispatching API wrapper. A listening API wrapper of at least one other application component receives the state and may perform other functions dependent on the state.

A method and a processing device may be provided for state management of an operating system and applications. A framework may be provided for separating behaviorless state information from code or instructions for executing a method. Applications may have instances of state information derived from, or completely different from, instances of state information of an operating system. Instances of state information for an application may be layered over corresponding instances of state information of the operating system, such that the application and the operating system may have different views of the instances of the state information. At least one policy may be defined, which may include rules for resolving conflicts, information for providing a merged view of data from multiple repositories, default values for instances of data, as well as other information. In various implementations, referential integrity of state information may be guaranteed.

The disclosure generally describes computer-implemented methods, software, and systems for allowing provisioning of open data protocol (OData) services on top of a generic interaction layer (GenIL). One computer-implemented method includes receiving an OData-compliant request for data, determining a GenIL data provider to receive the OData-compliant request for data, determining the memory location of the data, requesting the data from the determined memory location, receiving the requested data from the determined memory location, converting, using at least one computer, the received data into an OData-compliant format, rendering an OData-compliant response, and transmitting the OData-compliant response.

According to one embodiment of the present disclosure, interfacing between a plurality of applications for display on a mobile device includes receiving, by an interface, a request to open a plurality of applications. The plurality of applications are associated with a plurality of business units and comprise one or more native applications and one or more web applications. A processor opens the plurality of applications in a container according to a configuration file. The processor is communicatively coupled to the interface. The container is operable to be displayed on a user interface of the mobile device.

A method for providing rules for a plurality of processes from a user mode to a kernel mode of a computer is disclosed. The method includes providing to the kernel mode a policy for at least a first process of the plurality of processes, the policy indicating at least when and/or how notifications are to be provided from the kernel mode to the user mode upon detection in the kernel mode of launching of the first process. The method further includes selecting, from the rules stored in the user mode, rules related to the launching of the first process, in response to receiving from the kernel mode a first notification in accordance with the policy, and providing the selected rules related to the launching of the first process from the user mode to at least one of the one or more filter drivers in the kernel mode.

A platform application and methods of operation that integrate both native and third-party modules into an integrated environment on an inmate computing device is disclosed. Third-party modules or systems are applications meant to operate independent from the platform application. Information is communicated between the platform application and third-party module or system to add audit, alarm and other functions across all modules or systems controlled by the platform software. The third-party module or system is audited to allow triggering of rules that cause remedial action to be taken. Triggers can be on actions not monitored by a particular third-party module or system.

Methods and systems of monitoring events occurring in a computer system are provided. An event monitoring instruction including a condition is parsed, the event monitoring instruction expressed using syntax defined in source code, the parsing resulting in an event channel to monitor and the condition. Then execution of an application is paused. The event channel is monitored until an event occurs on the event channel. Then an event handler for the event is run in response to the event occurring on the event channel. The condition is evaluated to determine whether the condition is satisfied. Execution of the application is resumed in response to the condition being satisfied.

The specification discloses a method of doing business over the public Internet, particularly, a method which enables access to legacy management tools used by a telecommunications enterprise in the management of the enterprise business to the enterprise customer, to enable the customer to more effectively manage the business conducted by the customer through the enterprise, this access being provided over the public Internet. This method of doing business is accomplished with one or more secure web servers which manage one or more secure client sessions over the Internet, each web server supporting secure communications with the client workstation; a web page backplane application capable of launching one or more management tool applications used by the enterprise. Each of the management tool applications provide a customer interface integrated within said web page which enables interactive Web/Internet based communications with the web servers; each web server, supports communication of messages entered via the integrated customer interface to one or more remote enterprise management tool application servers which interact with the enterprise management tool applications to provide associated management capabilities to the customer.

A film comprising a polymer blend of: (a) 0.15 to 0.8 wt % of an LDPE having an MI of 0.1 to 0.6 dg/min; and(b) 99.2 to 99.85 wt % of an LLDPE produced with a single-site catalyst comprising a metallocene and having a haze (HZlldpe), dart impact (DIlldpe), MD-Tear (MDTlldpe), and a slice long chain branching index of at least 0.90 for any portion of the composition having a molecular weight of 100,000 or above,wherein the film has a haze (HZblend), a dart impact (DIblend), and an MD-Tear (MDTblend), and HZblend=a*HZlldpe, where a is 0.20 to 0.70; DIblend=b*DIlldpe, where b is 0.9 to 1.3; and MDTblend=c*MDTlldpe, where c is 0.8 to 1.1.

Process for the preparation of vinyl aromatic (co) polymers grafted on an elastomer in a controlled manner, comprising: dissolving an elastomer functionalized with bromoalkanes and nitroxy radicals, soluble in non-polar solvents, in a liquid phase consisting of a mixture of vinyl aromatic monomer(s)/polymerization solvent; feeding at least one radical initiator to the mixture, containing the functionalized elastomer in solution, and polymerizing the mixture thus obtained at a temperature higher than or equal to 1200 C; recovering the vinyl aromatic (co) polymer obtained after devolatization; and recycling the solvent/monomer(s) mixture, coming from the devolatization, to step (a).

The present invention relates to a preparation method of a superabsorbent polymer, and specifically to a method of preparing a superabsorbent polymer including the steps of: preparing a hydrous gel phase polymer by thermal polymerizing or photo-polymerizing a monomer composition including a water-soluble ethylene-based unsaturated monomer and a polymerization initiator; drying the hydrous gel phase polymer; milling the dried polymer; classifying the milled hydrous gel phase polymer into two or more grades by particle size; adding a surface cross-linking agent to each hydrous gel phase polymer classified into two or more grades; and carrying out a surface cross-linking reaction of the hydrous gel phase polymer to which the surface cross-linking agent is added.

Provided are a supported metallocene catalyst, a method for preparing the same and a method for preparing polyolefin using the same. The supported metallocene catalyst prepared by incorporating a metallocene compound having a ligand substituted with alkoxide or aryloxide into a conventional supported metallocene catalyst and incorporating a borate compound as a second co-catalyst exhibits considerably superior catalyst activity and easily controls molecular weight distribution, as compared to the conventional metallocene-supported catalyst.

A pattern-forming method includes providing a resist film on a substrate using a radiation-sensitive composition. The resist film is exposed. The exposed resist film is developed using a developer solution. The developer solution includes no less than 80% by mass of an organic solvent. The radiation-sensitive composition includes at least two components including a first polymer and a radiation-sensitive acid generator. The first polymer includes a structural unit having an acid-labile group. One or more components of the radiation-sensitive composition have a group represented by a formula (1). A− represents —N−—SO2—RD, —COO−, —O− or —SO3−. —SO3− does not directly bond to a carbon atom having a fluorine atom. RD represents a linear or branched monovalent hydrocarbon group, or the like. X+ represents an onium cation. —A−X+ (1)

Provided are a solid catalyst for propylene polymerization and a method for preparing the same, specifically a solid catalyst for propylene polymerization which does not contain any environmentally harmful material and can produce a polypropylene having excellent stereoregularity with a high production yield, and a method for preparing the catalyst.

Catalyst component for the polymerization of olefins comprising Mg, Ti and an electron donor compound of the following formula (I) In which R1 to R4 groups, equal to or different from each other, are hydrogen, C1-C15 hydrocarbon groups, optionally containing an heteroatom selected from halogen, P, S, N and Si, R6 group is selected from C1-C15 hydrocarbon groups optionally containing an heteroatom selected from halogen, P, S, N and Si, and R5 is selected from phenyl groups mono or poly substituted with halogens, said groups R1-R4 being also optionally linked to form a saturated or unsaturated mono or poly cycle.

The present invention relates to a process for the production of propylene polymers in the presence of a Ziegler-Natta catalyst comprising a titanium compound having at least one titanium-halogen bond, and a blend of a diether compound and a succinate compound as internal electron donor, all supported on a magnesium halide in active form, an organoaluminium compound and an optional external donor.

After a cyclopentadiene compound and a vinyl aromatic compound are thermally polymerized, the obtained copolymer is subjected to a hydrogenation reaction to form a hydrogenated product. After most of the hydrogenation solvent is separated by a solvent evaporation tank from the hydrogenated product, an additive separately prepared by dissolving an antioxidant is added to the hydrogenated product to form a mixture. While the hydrogenation solvent is a naphthenic solvent, the additive is prepared by dissolving the antioxidant in an aromatic additive solvent having the same carbon atoms as those of the hydrogenation solvent. Then, the low-molecular-weight component as well as the remaining hydrogenation solution and the additive solvent are separated by a thin-film evaporator from the mixture. The obtained molten resin is pelletized to produce hydrogenated petroleum resin pellets. The time for uniformly blending the antioxidant can be shortened.

The present disclosure provides a system for recovering emissions generated from an olefin polymerization process, comprising: a devolatilizer for receiving a fresh sweep gas and emissions generated from the olefin polymerization process and outputting a first fluid and a polyolefin resin; a compression refrigeration unit including a compression device and a first heat exchange device, for receiving said first fluid and outputting a first gas-liquid mixture; a first gas-liquid separation device for separating the first gas-liquid mixture and outputting a first recovery product and a first gas phase composition; a first gas separation device for receiving the first gas phase composition, removing small molecular substances therefrom, and outputting a composition rich in small molecular gases and a second gas phase composition rich in hydrocarbons; and a second gas separation device having a second heat exchange device, a second gas-liquid separation device, and a first gas expansion device.

In a process for producing polyethylene having a molecular weight of at least 3×105 g/mol as determined by ASTM 4020, ethylene is contacted under polymerization conditions with a slurry of a catalyst composition in at least one hydrocarbon. The catalyst composition comprises a Group 4 metal complex of a phenolate ether ligand and the slurry includes from about 5 to less than 40 ppm per liter of a compound effective to increase the conductivity of said at least one hydrocarbon.

The present invention provides a diene polymer in which a polar functional group is introduced into an end by radical polymerization, and its production method; a polymer emulsion and a rubber composition each containing the diene polymer; and a pneumatic tire containing the rubber composition. The present invention relates to a diene polymer, which is obtained by radical polymerization of at least one radical polymerizable monomer in the presence of at least one polar functional group-containing thiol compound, and has a polar functional group at at least one end: The polar functional group-containing thiol compound is preferably represented by formula (1): X—R1—SH (1) wherein X represents an ester group, a hydroxyl group, a carboxyl group, an amino group, or an alkoxysilyl group, and R1 represents an alkylene or arylene group which may have a substituent.

The invention relates to free-radical polymerization and free-radical cross-linking and more particularly provides a process of free-radical polymerization or cross-linking wherein at least one polymerizable monomer or at least one compound to be cross-linked is contacted in the presence of at least one selected organic peroxides, characterized in that the organic peroxide is prepared continuously by an ex situ process with the aid of a closed plate exchanger. In the process according to the invention, it's possible to introduce the above selected organic peroxide continuously during the polymerization or cross-linking reaction.

A magnetic particle-polymer hybrid material can include: a substance having a structure of Formula 1 or derivative or salt thereof:Z(Y-Triazole-CH2—X—CH2—(FP)n)m (Formula 1), wherein Z is a magnetic particle smaller than 1 mm; n and m are independently integers; Y includes a first linker having an alkyl and/or aryl linked to the magnetic particle; X is CH2 or a heteroatom; FP is a functionalized polymer having: a first structure derived from a first norbornene compound linked to the magnetic particle through the Y-Triazole-CH2—X—CH2 linker; and one or more monomeric units each including a second structure derived from a second norbornene compound, where one of the monomeric units is linked to the first structure through a saturated or unsaturated alkyl, each monomeric unit includes a functional group capable of binding with another substance.

A strap comprising a propylene and 1-hexene copolymer containing from 0.3 wt % to less than 5 wt % of 1-hexene derived units said copolymer having a melt flow rate (MFR) determined according to ISO method 1133 (230° C., 2.16 kg ranging from 0.3 to less than 11 g/10 min.

The present application relates to novel monomers comprising polycarbosiloxane monomers useful in certain specific embodiments in the manufacture of devices. More particularly, the present application relates to certain ethylenically unsaturated free radical polymerizable monomers comprising polycarbosiloxane monomers. Even more particularly, the present application pertains to monomers comprising polycarbosiloxane monomers which further comprise at least two ethylenically unsaturated free radical polymerizable groups.

Process for the preparation of etherified melamine/formaldehyde condensates, in which first a methylolation of melamine with a formaldehyde component in the molar ratio of from 1:6 to 1:15, preferably at a pH of >7, is carried out. This is followed by an etherification of the resulting hydroxymethylation intermediate in the presence of a C1-C20-alkyl, preferably of a C1-C6-alcohol, particularly preferably of a C1-C4-alcohol, at a pH of 9.5 being established before, during and/or after the distillation. According to the invention, a plurality of hydroxymethylation, etherification and distillation steps follow in order to achieve an etherified melamine/formaldehyde condensate which is distinguished by a high degree of hydroxymethylation, a high solids content and a low viscosity.

An ion conducting membrane for fuel cells involves coupling a compound having a sulfonic acid group with a polymeric backbone. Each of the compounds having a sulfonic acid group and the polymeric backbone are first functionalized with a halogen.

The present invention relates to a polymer composition comprising polylactide and, based on the weight of this polymer, from 17 to 25 wt % of a chain modifier, from 30 to 55 wt % of an elastomeric polymer and from 20 to 45 wt % of a plasticizer. The invention also relates to the method of preparing said composition as well as to the method of manufacturing an article starting from said composition and the article per se.

To provide a water/oil repellent composition which can impart sufficient post-air-drying water/oil repellency to the surface of an article, and which presents a low environmental impact, and an article having its surface treated with the water/oil repellent composition. A water/oil repellent composition comprising a copolymer (A) having structural units based on a monomer (a), structural units based on a monomer (b), structural units based on a monomer (c) and/or structural units based on a monomer (d); and an aqueous medium (B) containing water, and a film-forming assistant (x) and/or a film-forming assistant (y). Monomer (a): a monomer having a C1-6 polyfluoroalkyl group, monomer (b): vinylidene chloride, monomer (c): a monomer, the homopolymer of which has a glass transition temperature of at least 20° C., monomer (d): a monomer having a crosslinkable functional group, film-forming assistant (x): a specific amide solvent, and film-forming assistant (y): a specific glycol solvent.

The present invention provides polymerization processes utilizing a catalyst system containing an ansa-metallocene and a second metallocene compound for the production of olefin polymers.

The present invention provides polymerization processes utilizing an ansa-metallocene catalyst system for the production of olefin polymers. Polymers produced from the polymerization processes have properties that vary based upon the presence or the absence of hydrogen and/or comonomer in the polymerization process.

The present invention relates to a process for preparing a diene elastomer. The invention especially applies to the production of a polybutadiene with a high level of cis-1,4 linkages that has at the same time a Mooney viscosity ML (1+4) greater than or equal to 40, a polydispersity index less than 2.1 and a reduced cold flow and of a polyisoprene. The process according to the invention comprises a reaction of a catalyst system with at least one conjugated diene monomer, this catalyst system being based on at least: one conjugated diene;one organic phosphoric acid salt of one or more rare-earth metals, said salt being in suspension and in at least one saturated and aliphatic or alicyclic, and inert hydrocarbon-based solvent;one alkylating agent composed of an alkyl aluminum for formula AlR3 or HAlR2 anda halogen donor belonging to the family of alkylaluminium halides, with the exclusion of alkylaluminium sesquihalides. This process comprises a separate bringing together of the monomer(s) to be polymerized with at least one alkylaluminium compound of formula AlR3 or HAlR2 which is identical or not to the alkylating agent of said catalyst system, said amount being chosen as a function of the characteristics of the polymerization medium and/or the polymerization conditions and/or said elastomer to be obtained.

A method for preparing a catalyst system for heterogenous catalysis of an isobutylene polymerization reaction includes the steps of forming an alumina support in which the alumina support has pores formed therein, and reacting BF3/methanol catalyst complex with the alumina support. The ratio of methanol to BF3 in the catalyst complex ranges from 0.5 moles to 2 moles of methanol per mole of BF3. The alumina support is formed so as to have pores each having a diameter of greater than twenty nanometers. The alumina support can be in the form of beads or extrudates having a length significantly greater than a diameter. The extrudate can also have a tri-lobe configuration.