An exit device includes a rail having opposite first and second ends and a rear portion with a first opening adjacent the first rail end for attachment to the door surface, the first rail end further having a front portion that inhibits access to the first rail opening in a direction normal to the rail rear portion. The method for installing it includes securing a mount having a cantilevered portion extending therefrom to the door at the surface first end such that the mount cantilevered portion provides a space between the cantilevered portion and the door and placing the rail against the door surface such that the mount extends through the first rail opening, sliding the rail to engage the rail rear portion adjacent the first rail opening between the mount cantilevered portion and the door and securing the second rail end to the door surface.

A gate may include a first supporting arm and an adjustable arm. The first supporting arm may include an interior surface and an interior cavity. The adjustable arm may include an insertable end, an adjustable compression member and a compression fitting. The insertable end may be configured to be inserted into the interior cavity of the first supporting arm. The adjustable compression member may be disposed at the insertable end. The compressing fitting may be configured to adjust the adjustable compression member. When the insertable end is inserted into the interior cavity of the first supporting arm, the adjustable compression member is adjusted to compress against the interior surface so that the adjustable arm is fixed relative to the first supporting arm.

An access system for a temperature-controlled storage device includes a perimeter frame and least one display case door mounted within the perimeter frame. The perimeter frame and the at least one display case door are configured to move substantially vertically along a surface of the temperature-controlled storage device between a raised position and a lowered position. The at least one display case door is further configured to move substantially horizontally between an open position and a closed position when the perimeter frame is in the lowered position. The access system further includes a torsion spring and motor assembly coupled to the perimeter frame and configured to move the perimeter frame and the at least one display case door between the raised position and the lowered position.

A roll-up door seal that may be monolithically formed from a single material of uniform density. The seal is sized and adapted to assemble to a standard roll-up door frame without a separate or dedicated frame structure. The seal provides redundant sealing surfaces, positioned to cooperate with both the door and door frame, which ensure an effective and durable fluid tight seal between the cargo space enclosed by the roll-up door and the ambient environment. The seal may be produced by extrusion from a flexible, weather resistant material such as EPDM, thereby providing a low cost solution for sealing roll-up doors having industry standard door frame constructions. The seal is firmly engageable with the door frame, such that the seal may be installed with little or no secondary fixation.

A vehicle side window, composed of HPR laminated glazing or advanced ejection mitigating laminated glazing, is provided with an inverted U-shaped channel, bonded to its upper edge, and extending into side channels of the door frame. The inverted U-shaped channel acts as a movable upper door channel, providing the door glazing with sufficient rigidity and pull-out resistance that it performs in an accident as if it were fully rolled up.

A safety guard or gate for placement in a frame of an opening to prevent a child or pet from passing though the opening. The present invention includes an adjustable means for adjusting the guard to fit the width of the frame, wherein the adjustable means has a first end and a second end to form an axis along which the means can be adjusted. The invention further includes an attachment means for securing the guard to the frame; and a securing means for securing the adjustable means to the attachment means. The securing means prevents the adjustable means from disengaging from the attachment means along the axis when in a locked position, and allows disengagement and reengagement of the adjustable means in direction that transects the axis when the securing means is in an unlocked position. The present invention further includes methods for using the safety guard, and systems that include elements of the safety guard.

An adjusting apparatus is provided in a sash to turn slats automatically while the sash is being opened. The adjusting apparatus includes a plurality of first engaging members, a driven unit, and a driving unit. The first engaging members are connected to the slats respectively. The driven unit is connected to the frame of the sash for reciprocation, and has a second engaging member, wherein all the first engaging members are engaged with the second engaging member. The driving unit is connected to the carrier and the driven unit respectively to drive the driven unit to move while the sash is being opened. The first engaging members are turned by the second engaging member when the driven unit is moved by the driving unit to turn the slats from the first position to the second position.

A mechanism is provided for balancing and positioning a sash of a self-balancing double-hung window assembly. The mechanism may include a fixed length cable, a pulley, first and second brackets and an adjustment member. The fixed length cable may include first and second ends. The pulley may support the cable. The first bracket may include one or more attachment points relative to the first end of the cable and may include an upper end and a lower end. The second bracket may be movable relative to the first bracket and may be configured to support the sash. The adjustment member may engage and extend through the lower end of the first bracket and may be movable relative to the first bracket to cause corresponding movement of the second bracket relative to the first end of the cable.

An automatic patio sliding door for residential (home) use is created using an existing motorized automatic system which is now in use in commercial, industrial, and public building entrances. A method incorporating a bracket system is used to apply the commercial (hanging track type) automatic door system to existing residential patio sliding doors or to new patio sliding doors. The purpose is to provide hands free opening and closing of patio glass or screen doors (single or double panels). This allows for ease of use of sliding doors when hands are full, guarantees the closing of screen doors or glass doors behind the person to prevent insects getting into the house or loss of air conditioning in the house, and provides an easy access door system in the home for the physically handicapped.

A power actuator for a window in a building includes a drive unit, a cable system, and a controller. The drive unit is positioned within a sill of the window. The cable system is engagable with the drive unit for moving a pane of the window relative to a window frame between an opened position and a closed position. The controller is electrically coupled to the drive unit and a power outlet located in the building and connected to an external power grid.

An image forming apparatus includes a cover and a supporting member. The cover includes a connecting portion, the supporting member has a first path which guides the connecting portion and a second path which is bifurcated from the first path. When the connecting portion is located at an end of the first path, the cover is supported at a first opening angle, and when the connecting portion is located at an end of the second path, the cover is supported at a second opening angle which is larger than the first opening angle. When the supporting member upwardly rotates in a state where the cover is supported at the first opening angle, the cover rotates so as to interwork with the rotation of the supporting member, the connecting portion moves from the first path to the second path by its own weight of the cover.

Water-free compositions suitable for application as a surface size to a cellulosic substrate, and methods of applying the water-free compositions to the surface of a cellulosic substrate.

A coating method is disclosed including disposing a coating composition into a fluidly communicating space defined by an internal surface of an article. The fluidly communicating space includes at least one aperture, which is sealed, forming an enclosed space. The internal surface and the coating composition are heated under autogenous pressure, coating the internal surface with the coating composition. The at least one aperture is unsealed, re-forming the fluidly communicating space. Another coating method is disclosed in which the coating composition is disposed into a reservoir which is connected in fluid communication with the enclosed space prior to heating under autogenous pressure, coating the internal surface with the coating composition. Yet another coating method is disclosed in which the coating composition and the article are disposed in a vessel, which is sealed, forming the enclosed space prior to heating under autogenous pressure, coating the internal surface with the coating composition.

Methods, processes, compositions and systems for preventing leaching effects from water pipes (such as lead, steel and copper) having an inner diameter of at least approximately 12 mm. 2-part thermoset resin coating is applied to the inner surfaces of the pipes where the curing agent can be a phenol free and plasticizer free adduct type. The coating can reduce heavy metals, such as lead, from leaching from installed pipes to less than approximately 10 μg/L (10 ppb). When cured, specific leachates, Bisphenol A and Epichlorohydrin from the coatings will be (less than)

A microelectromechanical system (MEMS) is comprised of a micromirror attached to a semiconductor device. A stack of inorganic high index materials comprised of titanium oxide, titanium nitride, and titanium is deposited above metal levels within the semiconductor device. Another stack of inorganic high index materials comprised of titanium oxide, titanium nitride, and titanium may be deposited in a continuous or dis-continuous layer within one or more of the dielectric layers. Each stack of high index material films is deposited at a depth and of thickness to achieve a minimum reflectance for the entire film system and to ensure maximum destructive interference at the targeted wavelength range. The high index material stack results in reduced light scattering during operation of the micromirror and improves contrast of the display system.

Compositions having a high metal content comprising a metal salt solution, a stabilizer and one or more optional additives, wherein the metal salt solution comprises a metal ion, a counter ion and a solvent. The compositions are useful for forming films on substrates in the manufacture of solid state and integrated circuit devices.

Processing and use of ultra-high solids formulations wherein no drying step is needed for the formulation to be incorporated in a wide variety of applications. Adhesives, top-coatings, sealants, fasteners are amongst the use areas.

An ion beam generator includes a plurality of arc chambers, wherein each arc chamber of the plurality of arc chamber is integral with every arc chamber of the plurality of arc chambers. The ion beam generator further includes a plurality of extraction slits, wherein each extraction slit of the plurality of extraction slits is configured to extract ions from a corresponding arc chamber of the plurality of arc chambers. The ion beam generator further includes a plurality of arc slits, wherein each arc slit of the plurality of arc slits is configured to provide an ion path between a corresponding extraction slit of the plurality of extraction slits and the corresponding arc chamber of the plurality of arc chambers.

A plasma processing apparatus may include: a plasma chamber; a power source to generate a plasma in the plasma chamber; an extraction voltage supply coupled to the plasma chamber to apply a pulsed extraction voltage between the plasma chamber and a substrate; an extraction assembly disposed along a side of the plasma chamber between the plasma chamber and the substrate, the extraction assembly having at least one aperture, the at least one aperture defining a first ion beam when the plasma is present in the plasma chamber and the pulsed extraction voltage is applied; a deflection electrode adjacent the extraction assembly; and a controller to synchronize application of the pulsed extraction voltage with application of a pulsed deflection voltage to the deflection electrode.

In one embodiment, a substrate processing apparatus includes a substrate retainer and a substrate rotator to retain and rotate a substrate, liquid feeders to supply a cleaning liquid, a rinse liquid and a first coating liquid to a first face of the substrate, a heater to heat the substrate from a second face of the substrate, and a controller to control processing of the substrate. The controller supplies the first coating liquid to the first face while rotating the substrate at a first number of revolution. The controller heats the substrate from the second face while rotating the substrate at a second number of revolution that is different from the first number of revolution after the first coating liquid is supplied, to evaporate a solvent from the first coating liquid to form a coating film containing a solute of the first coating liquid on the first face.

An ion implantation apparatus, system, and method are provided for transferring a plurality of workpieces between vacuum and atmospheric pressures, wherein an alignment mechanism is operable to align a plurality of workpieces for generally simultaneous transportation to a dual-workpiece load lock chamber. The alignment mechanism comprises a characterization device, an elevator, and two vertically-aligned workpiece supports for supporting two workpieces. First and second atmospheric robots are configured to generally simultaneously transfer two workpieces at a time between load lock modules, the alignment mechanism, and a FOUP. Third and fourth vacuum robots are configured to transfer one workpiece at a time between the load lock modules and a process module.

A method for manufacturing includes coating a substrate (22) with a matrix (28) containing a material to be patterned on the substrate. A pattern is fixed in the matrix by directing a pulsed energy beam to impinge on a locus of the pattern so as to cause adhesion of the material to the substrate along the pattern without fully sintering the material in the pattern. The matrix remaining on the substrate outside the fixed pattern is removed, and after removing the matrix, the material in the pattern is sintered.

A method for producing a functional film is provided. In the method, a film is sequentially transferred through processing devices including a film inspection device. At least one expander roll is used for film transfer from a processing device to the film inspection device next to the processing device.

A method of manufacturing a lithium-ion secondary battery electrode sheet disclosed herein includes the step of preparing powder 220 of granulated particles. In this step, the powder (220) of granulated particles (240) including active material particles (241) and a hinder (242) is prepared. The powder (220) is deposited on a strip-shaped collector foil (201) that is being conveyed. Then, the powder (220) is removed from widthwise center portions (202) and (203) of the collector foil (201), and a squeegee (106) is brought into contact with the powder (220) remaining on the opposite sides of the center portions (202) and (203) of the collector foil (201), thus adjusting the thickness of the powder (220). Subsequently, the powder (220) remaining on the opposite sides of the center portions (202) and (203) of the collector foil (201) is pressed.

Disclosed are electrochemical devices, such as lithium ion battery electrodes, lithium ion conducting solid-state electrolytes, and solid-state lithium ion batteries including these electrodes and solid-state electrolytes. Also disclosed are methods for making such electrochemical devices.

A method for forming an organic coating on a surface of nickel or nickel alloy is disclosed. The method includes contacting the nickel surface with a composition comprising a specific pyrazine derived compound to prevent corrosion of nickel without forming known gold emersion film on the surface of the nickel.

Magnetic vascular grafts and methods for their use are provided herein.

A method for making a composite polyamide membrane comprising a porous support and a polyamide layer, including the steps of: i) applying a polar solution comprising of polyiunctional amine monomer and a non-polar solution comprising a polyiunctional acyl halide monomer to a surface of a porous support and interfacially polymerizing the monomers to form a polyamide layer; and ii) exposing the thin film polyamide layer to nitrous acid; wherein the method is characterized by at least one of: conducting the interfacial polymerization of step i) in the presence of a subject amine-reactive compound, or applying a subject amine-reactive compound to the interfacially polymerized polyamide layer prior to step ii), wherein the subject amine-reactive compound is different from the polyiunctional acyl halide and polyiunctional amine monomers and is represented by the following formula:

Apparatuses and methods for applying a transfer material onto the surface of an article are disclosed, including apparatuses and methods of transfer printing on and/or decorating three-dimensional articles, as well as the articles printed and/or decorated thereby. In some cases, the apparatuses and methods involve providing a deposition device, such as a printing device; providing a transfer component; depositing a material onto a portion of the transfer component with the deposition device; modifying the portion of the transfer component with the transfer material thereon to conform the transfer component to at least a portion of the surface of the three-dimensional article; and transferring the transfer material onto the surface of the article.

A low surface tension liquid is supplied from a low surface tension liquid supplying unit to a heated substrate to replace a processing liquid by the low surface tension liquid. The heating of the substrate is weakened and the low surface tension liquid is supplied from the low surface tension liquid supplying unit to the substrate, so that a liquid film of the low surface tension liquid is formed. The liquid film on the substrate is removed by strengthening the heating of the substrate without supplying the low surface tension liquid from the low surface tension liquid supplying unit to a central region of the substrate.

A method for painting a component, in particular for painting a motor vehicle body component, with a decorative layer is provided. The decorative layer may be a decorative strip, a graphic element, a contrast surface or a pattern. The method includes applying a base coat layer, applying a decorative layer, which is within a decorative region with a limited surface area, to the component, and drying a limited drying region of the component, which drying region comprises at least part of the decorative region.

The invention relates to a composite material composed at least of one carrier material, wherein the carrier material is coated on a first surface with a first coating material and on a second surface with a second coating material, wherein the composite material has links of coating material which run from the first surface of the carrier material to the second surface of the carrier material, wherein links of coating material start from 1% to 90% of at least one of the surfaces of the carrier material. The invention further relates to a method for producing a composite material of this type.

Systems and methods for the formation of nanostructures, including carbon-based nanostructures, are generally described. In certain embodiments, substrate configurations and associated methods are described.

A method for manufacturing a protective concrete weight coating for pipelines The invention relates to materials for application to the outer surfaces of pipes as a protective negative buoyancy coating. It allows achieving accurately a desired density of the concrete protective weight coating of the pipeline in the range of 2600 to 3400 kg/m3 by claimed method of manufacturing a protective concrete weight coating for pipelines which includes mixing cement, aggregate, a plasticizing additive and water, pumping the resultant mixture into an annular space formed by the outer surface of a pipeline and a permanent form mounted with clearance thereon, and setting the resultant coating.

The invention is directed to a method for manufacturing a hardcoat film including a hardcoat layer having a surface of which a water contact angle is 65° or less by applying, drying, and curing a composition for forming the hardcoat layer on a base material film, in which the composition for forming the hardcoat layer contains the components (a) to (d) as defined herein, and, in a case in which a total solid content of the composition for forming the hardcoat layer is set to 100% by mass, a content of the component (b) is 40% to 80% by mass, a content of the component (c) is 10% to 40% by mass, and a content of the component (d) is 10% to 40% by mass.

A method includes coating a substrate to provide a flame resistant substrate. In an embodiment, the method includes exposing the substrate to a cationic solution to produce a cationic layer deposited on the substrate. The cationic solution comprises cationic materials. The cationic materials comprise a polymer, a colloidal particle, a nanoparticle, a nitrogen-rich molecule, a geopolymer, a carbon-based filler, or any combinations thereof. The method also includes agitating the substrate. The method further includes exposing the cationic layer to an anionic solution to produce an anionic layer deposited on the cationic layer to produce a layer comprising the anionic layer and the cationic layer. The anionic solution comprises a layerable material.

A composition for forming an electroactive coating includes an acid as a polymerization catalyst, at least one functional component, and at least one compound of formula (1) as a monomer: wherein X is selected from S, O, Se, Te, PR2 and NR2, Y is hydrogen (H) or a precursor of a good leaving group Y− whose conjugate acid (HY) has a pKa of less than 45, Z is hydrogen (H), silyl, or a good leaving group whose conjugate acid (HY) has a pKa of less than 45, b is 0, 1 or 2, each R1 is a substituent, and the at least one compound of formula (1) includes at least one compound of formula (1) with Z=H and Y≠H.

Methods for controlled microstructure creation utilize seeding of amorphous layers prior to annealing. Seed crystals are formed on an amorphous layer or layers. The material, size, and spacing of the seed crystals may be varied, and multiple seed layers and/or amorphous layers may be utilized. Thereafter, the resulting assembly is annealed to generate a crystalline microstructure. Via use of these methods, devices having desirable microstructural properties are enabled.

A mask plate for laser irradiation and a method of laser encapsulation using the same are disclosed to improve the display effect of the encapsulated display panel and also the utilization of substrate thereof, so as to reduce the cost. The mask plate includes a laser blocking region and a laser transmitting region surrounding the laser blocking region, wherein the laser blocking region is configured to block laser having a predetermined wavelength; and the laser transmitting region is configured to allow the laser having the predetermined wavelength to transmit there-through; along a direction perpendicular to a surface of the mask plate, a width of a cross-section of the laser transmitting region is smaller than a diameter of a light spot of the laser having the predetermined wavelength.

There is provided a substrate processing apparatus including a first exhaust system which is connected to a first pump and a second pump of a type different from the first pump and is configured to exhaust the interior of a process chamber, a second exhaust system which is connected to the second pump and is configured to exhaust the interior of the process chamber and a control part configured to control the first exhaust system and the second exhaust system such that, when the processing gas is exhausted from the interior of the process chamber, the interior of the process chamber is first exhausted by the second exhaust system, and then an exhaust path is switched from the second exhaust system to the first exhaust system after an internal pressure of the process chamber reaches a predetermined pressure, to exhaust the process chamber by the first exhaust system.

A film formation apparatus and a film formation method that can homogenize the distribution of gas in each zone in a chamber and improve film formation precision are provided. A film formation apparatus according to one embodiment includes: a chamber which includes a plurality of zones into which gas is introduced, and a plurality of discharge ports that discharge the gas located in at least any of the zones and that can individually adjust an opening state; and a transportation unit that transports a substrate so as to pass through the plurality of the zones in the chamber.

There is disclosed a system for the electrostatic control of a metal wetting layer during deposition and a method of electrostatically controlling a metal wetting layer during deposition using a deposition system. In one example, control of the metal wetting layer is provided by changing or applying an electrostatic field acting on a deposited material or acting on a substrate on which a material is deposited. In another example, control is of the thickness of the metal wetting layer. In another example, control is of the presence or absence of the metal wetting layer. The metal wetting layer can be a liquid metal or liquid metal alloy, for example the metal wetting layer could be Boron, Aluminium, Indium, Gallium or Thallium. In another example, control is of the thickness, or presence, of a Gallium wetting layer during GaN film growth.

The disclosure relates to microwave cavity plasma reactor (MCPR) apparatus and associated tuning and process control methods that enable the microwave plasma assisted chemical vapor deposition (MPACVD) of a component such as diamond. Related methods enable the control of the microwave discharge position, size and shape, and enable efficient matching of the incident microwave power into the reactor prior to and during component deposition. Pre-deposition tuning processes provide a well matched reactor exhibiting a high plasma reactor coupling efficiency over a wide range of operating conditions, thus allowing operational input parameters to be modified during deposition while simultaneously maintaining the reactor in a well-matched state. Additional processes are directed to realtime process control during deposition, in particular based on identified independent process variables which can effectively control desired dependent process variables during deposition while still maintaining a well-matched power coupling reactor state.

The present invention relates to a process for producing corrugated fiberboard from plies of paper which each have a grammage of 70 to 200 g/m2 and of which at least one ply of paper is obtained by a process comprising the addition of (A) 0.25 to 5 wt %, based on dry paper stock, of at least one cationic polymer comprising vinylamine units, and(B) 0 to 5 wt %, based on dry paper stock, of at least one polymeric anionic compound, to a paper stock, draining the paper stock by sheet formation, coating the paper web obtained with (C) 0.1 to 3 wt %, based on dry paper stock, of at least one starch and drying the coated paper web,wherein the polymeric anionic compound is selected from a polymeric anionic compound (B1) and a polymeric anionic compound (B2),wherein said polymeric anionic compound (B1) is obtainable by copolymerizing a monomer mixture comprising, preferably consisting of, (a) at least one monomer (a) selected from acrylamide and an N-vinylcarboxamide of the formula where R1 and R2 are each H or C1 to C6 alkyl, (b) at least one acid-functional monoethylenically unsaturated monomer and/or its alkali metal, alkaline earth metal or ammonium salts (b), and(c) optionally one or more monoethylenically unsaturated compounds (c) other than said monomers (a) and (b), and(d) optionally one or more compounds having at least two ethylenically unsaturated double bonds in the molecule, and said polymeric anionic compound (B2) is the hydrolysis product of said polymeric anionic compound (B1) whose carboxamide moieties have been partly or wholly hydrolyzed into amino groups,and also the corrugated fiberboard thus obtained and its use in the manufacture of packaging boxes from corrugated fiberboard.

An adjusting method for adjusting an imprint apparatus includes a preparation step of preparing a sample for evaluating a state in which a contact region of a test mold is in contact with an imprint material supplied on a substrate; an evaluation step of evaluating the sample; and an adjustment step of adjusting the imprint apparatus based on a result of evaluation obtained in the evaluation step. The contact region includes a flat region which does not include a pattern, the evaluation in the evaluation step includes a first evaluation, which is an evaluation of a state of the imprint material in the flat region, and the imprint apparatus is adjusted based on a result of the first evaluation in the adjustment step.

A method for producing a porous polyimide film comprises: forming a first un-burned composite film wherein the first film is formed on a substrate using a first varnish that contains (A1) a polyamide acid or a polyimide and (B1) fine particles at a volume ratio (A1):(B1) of from 19:81 to 45:65; forming a second un-burned composite film wherein the second film is formed on the first film using a second varnish that contains (A2) a polyamide acid or a polyimide and (B2) fine particles at a volume ratio (A2):(B2) of from 20:80 to 50:50 and has a lower fine particle content ratio than the first varnish; burning wherein an un-burned composite film composed of the first film and the second film is burned, thereby obtaining a polyimide-fine particle composite film; and a fine particle removal step wherein the fine particles are removed from the polyimide-fine particle composite film.

The present disclosure provides a method for manufacturing an energy-storage composite material. The method includes (a) providing a solution having a carbon substrate, and placing the solution in a pressure container, and a surface of the carbon substrate having an energy-storage active precursor; (b) stirring the solution having the carbon substrate at a first stirring speed, and venting air in the pressure container at a first temperature, such that a pressure in the pressure container reaches a first pressure and is maintained for a first period of time; and (c) introducing a fluid into the pressure container, stirring the solution having the carbon substrate at a second stirring speed, increasing a pressure and a temperature in the pressure container to a second pressure and a second temperature and maintaining for a second period of time, and then reducing the pressure to the atmosphere pressure to obtain an energy-storage composite material.

A method of preparing an electrochemical electrode which is partially or totally covered with a film that is obtained by spreading an aqueous solution comprising a water-soluble binder over the electrode and subsequently drying same. The production cost of the electrodes thus obtained is reduced and the surface porosity thereof is associated with desirable resistance values.

Disclosed is a silicon-based anode active material for a lithium secondary battery. The silicon-based anode active material imparts high capacity and high power to the lithium secondary battery, can be used for a long time, and has good thermal stability. Also disclosed is a method for preparing the silicon-based anode active material. The method includes (A) binding metal oxide particles to the entire surface of silicon particles or portions thereof to form a silicon-metal oxide composite, (B) coating the surface of the silicon-metal oxide composite with a polymeric material to form a silicon-metal oxide-polymeric material composite, and (C) heat treating the silicon-metal oxide-polymeric material composite under an inert gas atmosphere to convert the coated polymeric material layer into a carbon coating layer.

A lighting apparatus includes: a projection lens; a light source behind the projection lens; a reflector that reflects light from the light source toward the projection lens; and a shield that blocks a portion of the light reflected by the reflector to form a cutoff line in a distribution pattern of the light. A textured section demarcated by unit regions is formed on a surface of the projection lens, and when a region in a center of the projection lens is defined as a central region, and regions left and right of the central region are defined as left and right regions, respectively, in a front view, a proportion of the unit regions in the central region is greater than a proportion of the unit regions in each of the left region and the right region.