Abstract: An electronic device is provided. The electronic device includes a panel and a polarizing element. The polarizing element is disposed at one side of the panel, and the polarizing element includes a plurality of coating polarizing layers. A method for manufacturing an electronic device is further provided.

Abstract: A diffractive optical element exerts a diffractive action on a display light that is emitted from a display unit. A folding mirror is provided on the opposite side of the diffractive optical element from the display unit to reflect the display light. The diffractive optical element includes a transmissive action part and a diffractive and reflective action part. The transmissive action part exerts a transmissive action to transmit therethrough the display light, which is incident from the display unit and is in a first polarization state, toward the folding mirror. The diffractive and reflective action part exerts a diffractive and reflective action to diffract and reflect the display light, which is reflected by the folding mirror and is in a second polarization state opposite to the first polarization state, toward the projection portion on an optical path.

Abstract: The present invention is to provide an optical film having optically anisotropic layer having excellent durability, and a polarizing plate and an image display device using the same. An optical film of the present invention is an optical film having at least an optically anisotropic layer, in which the optically anisotropic layer is a layer obtained by polymerizing a polymerizable liquid crystal composition containing a predetermined liquid crystal compound and a polymerization initiator, and an extrapolated glass transition starting temperature of the optically anisotropic layer is 70° C. or higher.

Abstract: This liquid crystal display device is provided with: a pair of substrates which have conductive films, respectively; a liquid crystal layer which is arranged between the pair of substrates and contains a liquid crystal; and a liquid crystal control layer which is formed on the substrate-side interface of the liquid crystal layer by means of polymerization of a polymerizable monomer, and which controls the alignment of the liquid crystal. With respect to this liquid crystal display device, at least one of the pair of substrates is not provided with a liquid crystal alignment film, and the liquid crystal control layer contains a compound that has at least one partial structure which is selected from the group consisting of a fluorene structure-containing group, an aromatic amino group and a nitrogen-containing aromatic heterocyclic group.

Abstract: The present invention relates to a liquid crystal (LC) medium comprising a terphenyl compound and at least two polymerizable compounds, to a process for its preparation, to its use for optical, electro-optical and electronic purposes, in particular in LC displays, especially in an LC display of the polymer sustained alignment (PSA) type, and to an LC display, especially a PSA display, comprising it.

Abstract: The invention relates to encapsulation structures for OLED displays, wherein the structure provides sufficient barrier properties against oxygen and moisture as well as anti-reflection properties. The structure includes a layer comprising a photo-aligned substance which in a synergistic manner controls both barrier and anti-reflection properties.

Abstract: The present invention relates to a liquid crystal (LC) medium comprising a terphenyl compound and at least two polymerisable compounds, to a process for its preparation, to its use for optical, electro-optical and electronic purposes, in particular in LC displays, especially in an LC display of the polymer sustained alignment (PSA) type, and to an LC display, especially a PSA display, comprising it.

Abstract: The present invention provides a new polymerizable compound which is represented by Formula (I). In the formula, R1 indicates an alkyl group or the like, A represents a (m+n)valent cyclic group, L1 indicates a single bond or the like, L2 indicates —COO— or the like, Z indicates —COO— or the like, Sp indicates an alkylene group, an alkyleneoxy group, or the like, Q indicates a polymerizable group such as a (meth)acryloyl groups, 1 indicates an integer of 0 to 2, m indicates an integer of 1 or 2, and n indicates an integer of 1 to 3. The present invention also provides a polymerizable composition which includes the polymerizable compound described above, a film which is formed from the polymerizable composition described above, and a half mirror for displaying a projection image which includes the film described above.

Abstract: Disclosed is a trans-PDLC liquid crystal material composition, including a vertical alignment agent, a liquid crystal material, and an acrylic monomer. Molecules of the vertical alignment agent include polar groups and non-polar groups. The vertical alignment agent can reduce surface energy of liquid crystal molecules in a polymer matrix and increase contact angle, so that the liquid crystal molecules can be arranged in a vertical way.

Abstract: The present invention relates to polymerizable compounds, to processes and intermediates for the preparation thereof, to liquid-crystal media comprising them, and to the use of the polymerizable compounds and liquid crystalline media for optical, electro-optical and electronic purposes, in particular in liquid crystalline displays, especially in liquid crystalline displays of the polymer sustained alignment type.

Abstract: A liquid crystal display includes a first substrate including first to fourth color pixel areas, first to fourth thin film transistors disposed on the first substrate, and first to fourth pixel electrodes connected to the first to fourth thin film transistors. Each of the first to fourth pixel electrodes includes a cross stem portion including a horizontal stem portion and a vertical stem portion crossing the horizontal stem portion, and minute branch portions extending from the cross stem portion at a predetermined angle with respect to a horizontal direction. A third angle of the minute branch portions of the third pixel electrode is greater than each of first and second angles of the minute branch portions of the respective first and second pixel electrodes. Each of the first and second angles is greater than a fourth angle of the minute branch portions of the fourth pixel electrode.

Abstract: The present invention relates to a polarizing plate including: a polarizer; and a protective layer formed on at least one surface of the polarizer, in which the protective layer is a cured product of a radical curable composition including: (A) an acid anhydride-based compound having at least one unsaturated double bond between carbons; (B) a vinyl-based compound having at least one electron donor group; (C) a radical initiator; and (D) a cation generator, and an image display device including the same.

Abstract: The present invention relates to a radical-curable adhesive composition including an acid anhydride-based compound having at least one carbon-carbon unsaturated double bond, a vinyl-based compound having at least one electron donor group, a radical initiator, and a cation generator, wherein the content of the acid anhydride-based compound and the vinyl-based compound is 0.8 to 1.0 by an equivalence ratio of mixing represented by the following Equation (1), and a polarizing plate and an optical member including the radical-curable adhesive composition: Equivalence Ratio of Mixing=M/N,??Equation(1): and in Equation (1), M is the number of carbon-carbon unsaturated double bonds capable of participating in polymerization in the molecule including an acid anhydride group included in the acid anhydride-based compound; and N is the number of carbon-carbon unsaturated double bonds capable of participating in polymerization in the molecule included in the vinyl-based compound.

Abstract: To provide a liquid crystal compound satisfying at least one of physical properties such as a high stability to heat, light and so forth, a high clearing point, a low minimum temperature of a liquid crystal phase, a small viscosity, a suitable optical anisotropy, a large dielectric anisotropy, a suitable elastic constant and an excellent compatibility with other liquid crystal compounds; a liquid crystal composition containing the compound; and a liquid crystal display device including the composition. The compound is represented by formula (1): wherein, for example, Ra and Rb are alkyl having 1 to 10 carbons, alkenyl having 2 to 10 carbons or alkoxy having 1 to 9 carbons; A1, A2 and A3 are 1,4-cyclohexylene or 1,4-phenylene; Z1 and Z2 are single bonds, —(CH2)2—, —CH?CH—, —COO—, —OCO—, —CF2O—, —OCF2—, —CH2O— or —OCH2—; Y1 is —CF2H or —CF3; Y2 is fluorine; and a, b and d are 0, 1, 2 or 3, and c is 1 or 3.

Abstract: A method for producing a multiple glazing unit with variable diffusion by liquid crystals can include applying a pre-seal on an internal face of a first substrate to form a strip delimiting a space. The method can further include depositing a liquid crystal composition containing liquid crystals in a polymer matrix on the delimited space. In some examples, the first substrate is assembled with a second substrate and calendared or pressed. Thereafter, the resulting assembly is irradiated and/or heated to simultaneously cross-link the pre-seal and polymerize the liquid crystal composition.

Abstract: To provide a liquid crystal compound having high polymerization reactivity, a high conversion ratio and high solubility in a liquid crystal composition, a polymerizable composition containing the compound, a liquid crystal composite prepared using the composition, and a liquid crystal display device including the composite. The liquid crystal display device prepared using the polymerizable composition containing the compound represented by formula (1): wherein, in formula (1), P1 to P6 are a polymerizable group; S1 to S6 are a single bond, alkylene or the like; a1, a3 and a4 are an integer from 0 to 4, a2 is an integer from 1 to 4; ring A1 to ring A4 are a divalent group derived from benzene, naphthalene, anthracene, pyrimidine, pyridine or the like; Z1 to Z3 are a single bond, alkylene or the like, and at least one of Z1, Z2 and Z3 is —C?C—; and b1 is 0 or 1.

Abstract: The present invention relates to polymerizable compounds, to processes and intermediates for the preparation thereof, to liquid-crystal (LC) media comprising them, and to the use of the polymerizable compounds and LC media for optical, electro-optical and electronic purposes, in particular in LC displays, especially in LC displays of the polymer sustained alignment type.

Abstract: A surface light source device capable of obtaining uniform and high brightness emitted light is disclosed. The surface light source device can include a light source (11) that emits light; a light guiding plate (12) that guides light from the light source that is incident on a rear surface side thereof or a side surface side thereof and emits the light from a front surface side thereof; and a diffusion plate (14) disposed on the front surface side of the light guiding plate that diffuses the incident light from the light guiding plate to a front surface side thereof. The diffusion plate can be made from nonwoven fabric with an areal weight of not less than 0 g/m2 and not more than 40 g/m2.

Abstract: A liquid crystal medium composition of liquid crystal display includes: a negative liquid crystal material, reactive monomer, an initiator, and a stabilizer. The initiator functions to induce photo polymerization of the reactive monomer. The initiator has a molecular structure comprising aromatic rings, carbonyl groups connected to the aromatic rings, and substituted moieties connected to the aromatic rings. The initiator lowers the activation energy of chain initiation reaction of the polymerization of reactive monomer to allow the photo polymerization of the reactive monomer to take place in a wider wavelength range of 200-450 nm, so as to reduce the required intensity and luminance of ultraviolet light and to speed up the reaction of the reactive monomers and also to provide a uniform result of reaction, to reduce the destruction that the ultraviolet light causes on the material of alignment layer and the liquid crystal material, and to improve stability of the panel.

Abstract: The present invention relates to a liquid crystal (LC) medium, to its use for optical, electro-optical and electronic purposes, in particular in LC displays, especially in LC displays of the PS (“polymer sustained”) or PSA (“polymer sustained alignment”) type, and to LC displays, especially PS or PSA displays, comprising said LC medium.

Abstract: To provide an optically anisotropic substance having a negative uniaxial phase difference film and a positive uniaxial phase difference film, and excellent heat resistance and sputtering resistance. The positive uniaxial phase difference film is formed in combination with a bifunctional polymerizable liquid crystal compound, the negative uniaxial phase difference film is formed in combination of the bifunctional polymerizable liquid crystal compound with an optically active compound having a polymerizable binaphthol moiety, and additional thermosetting treatment (postcure) is applied after the negative uniaxial phase difference film is photocured, and when glass transition temperature after the negative uniaxial phase difference film is cured is 85° C. or higher and 115° C. or lower, additional thermosetting treatment temperature is adjusted to 220° C. or higher and 250° C. or lower, and when the glass transition temperature is higher than 115° C.

Abstract: The present invention provides an electrically suppressed helix ferroelectric liquid crystal (ESHFLC) cell with polymer stabilization. The cell has a liquid crystal (LC) material that is a mixture comprising a monomer, a photo-initiator and a ferroelectric liquid crystal (FLC) where a polymer network has been established at a certain temperature to achieve constraints of ESHFLC electro-optical mode. The resultant mixture is characterized by a helix pitch less than and comparable to a FLC layer thickness of the cell, and provides a selective reflection in an UV region. The concentration of the monomer in the pure FLC mixture has also been optimized for the phase diagram, scattering and the tilt angle. The resultant mixture, i.e. the polymer stabilized ESHFLC cell, follows all constraints of the ESHFLC electro-optical mode and shows electro-optical characteristics similar to a typical ESHFLC cell.

Abstract: The present invention provides a mixture for liquid crystal medium and a liquid crystal display using the same. The mixture for liquid crystal medium comprises: at least one anisotropic liquid crystal material and a polymerizable monomer which will polymerize under UV irradiation. The weight percentage of the polymerizable monomer accounts for 0.1% to 1% of the total mixture for liquid crystal medium. In the mixture for liquid crystal medium and a liquid crystal display using the same according to the present invention, by using a polymerizable monomer which will polymerize under UV irradiation and the appropriate content ratio, the polymer bump with small size and good uniformity can be obtained within the mixture for liquid crystal medium after the polymerization, which avoids the bad liquid crystal alignment and the light spot occurred at the dark state of the liquid crystal panel, and then increases the response rapid of the liquid crystal panel to obtain high contrast ratio and stable mass production.

Abstract: Sub-micron-structured (nanostructured) polymer film or coatings are made by coating a substrate with a mixture of materials. One of the materials is removed using a selective solvent, leaving pores or other nanostructure. The substrate may be grooved, providing a competing nanostructure. The coating may act as an antireflective coating, optical retarder, optical diffuser, or orientation layer.

Abstract: An object is to provide a novel liquid crystal composition that can be used for a variety of liquid crystal devices. Particularly, a novel liquid crystal composition is used to achieve a reduction in driving voltage of a liquid crystal element and a reduction in power consumption of a liquid crystal display device. The liquid crystal composition includes a polymerizable monomer represented by the general formula (G1), a nematic liquid crystal, and a chiral agent. In the general formula (G1), n and m are individually an integer from 1 to 20, and R1 and R2 individually represent hydrogen or a methyl group.

Abstract: Defective display by a liquid crystal display device is reduced. In a liquid crystal composition which contains a liquid crystal material exhibiting a blue phase and has a transmission spectrum with a single peak in a temperature range where the liquid crystal material exhibits a blue phase, it is found that the blue phase of the liquid crystal material can be stabilized in a wide temperature range by polymer stabilization treatment. Thus, the liquid crystal composition allows the polymer stabilization treatment to be achieved in a wider temperature range. This makes it possible to reduce defective orientation in a composite of polymer and liquid crystal formed by subjecting the liquid crystal composition to the treatment. As a result, it is possible to reduce defective display by a liquid crystal display device which includes the composite of polymer and liquid crystal.

Abstract: A liquid crystal composition containing a polymerizable compound according to the present invention is used in a liquid crystal display element in which a liquid crystal alignment capability is provided through polymerization. The liquid crystal composition contains a polymerizable compound that polymerizes without a photopolymerization initiator or with an extremely small amount of photopolymerization initiator. Therefore, the alignment properties after the polymerization become more stable and the display characteristics do not degrade. Thus, the polymerizable compound is suitable as a practical component of the liquid crystal composition. A liquid crystal display element that uses the liquid crystal composition containing a polymerizable compound according to the present invention can be suitably used for VA and IPS liquid crystal display elements.

Abstract: Disclosed are liquid-crystal (LC) media for use in LC displays of the PS (polymer stabilized) or PSA (polymer sustained alignment) type which contain a liquid-crystal (LC) mixture that contains one or more compounds of formula I

Abstract: Disclosed are liquid-crystal (LC) media for use in LC displays of the PS (polymer stabilized) or PSA (polymer sustained alignment) type which contain a liquid-crystal (LC) mixture that contains one or more compounds of formula I

Abstract: A liquid crystal smectic A composition that can be switched by the application of different electric fields across it between a first stable state (left hand block in FIG. 4) and at least one second stable state (right hand block in FIG. 4) in which the composition is less ordered than in the first state. The radiation transmission properties of the first and second states are different.

Abstract: There is provided a liquid crystal display device including a liquid crystal display element including a first alignment film and a second alignment film provided on opposing surfaces of a pair of substrates, and a liquid crystal layer arranged between the first alignment film and the second alignment film and including crystal molecules having negative dielectric constant anisotropy. At least the first alignment film includes a compound in which a polymer compound having a first side chain and a second side chain is crosslinked or polymerized. The first side chain has a crosslinkable functional group or a polymerizable functional group. The second side chain has a structure inducing dielectric anisotropy. The liquid crystal molecules are pretilted by the first alignment film.

Abstract: Embodiments of the invention provide a liquid crystal panel, a display device, and a process for manufacturing the liquid crystal panel. The liquid crystal panel includes cell-assembled array substrate and colored substrate, and a liquid crystal layer between the array substrate and the colored substrate, wherein the liquid crystal layer includes a dual frequency liquid crystal and a polymer network anchoring the dual frequency liquid crystal, wherein the polymer network is formed by polymerization of liquid crystalline ultraviolet polymerizable monomers.

Abstract: The present invention relates to a liquid crystal (LC) medium comprising a polymerizable compound, to a process for its preparation, to its use for optical, electro-optical and electronic purposes, in particular in an LC display, especially in an LC display of the PSA (“polymer sustained alignment”) type, and to an LC display comprising the LC medium.

Abstract: A liquid crystal composition satisfying at least one of characteristics such as a high maximum temperature of a nematic phase, a low minimum temperature of the nematic phase, a small viscosity, a suitable optical anisotropy, a large dielectric anisotropy, a large specific resistance, a high stability to ultraviolet light and a high stability to heat, or having a suitable balance regarding at least two of the characteristics is provided; and an AM device having a short response time, a suitable pretilt, a large voltage holding ratio, a large contrast ratio, a long service life and so forth is provided. A solution is a liquid crystal composition containing a specific compound having a high maximum temperature and a large dielectric anisotropy as a first component and a polymerizable compound as a second component, and a liquid crystal display device including the composition.

Abstract: The present invention provides a liquid crystal reactive monomer on a polyimide surface of an alignment film and a liquid crystal panel. The liquid crystal reactive monomer has a hard core and is contained in a liquid crystal composition. The liquid crystal reactive monomer is represented by the formula (I) or the formula (II), and the molecular weight thereof is greater than or equal to 300. The solubility of the liquid crystal RMs is significantly improved in a liquid crystal matrix while the returning force of liquid crystal molecules is increased, so as to solve the image sticking issue, increase the polymerization capacity of the liquid crystal molecules, raise the curing speed of the curing reaction between the liquid crystal RMs and the polyimide surface and shorten the curing time, so that the purpose of energy saving and carbon reduction can be achieved.

Abstract: A liquid crystal composition that satisfies at least one of characteristics such as a high maximum temperature of a nematic phase, a low minimum temperature of a nematic phase, a small viscosity, a suitable optical anisotropy, a large negative dielectric anisotropy, a large specific resistance, a high stability to ultraviolet light and a high stability to heat or that is suitably balanced between at least two of the characteristics, is described. The liquid crystal composition includes a compound having three or more polymerizable groups as a first component and a compound having one or two polymerizable groups as a second component in a suitable ratio, and that may include a specific compound having a large negative dielectric anisotropy and a low minimum temperature as a third component or a specific compound having a small viscosity or a high maximum temperature as a fourth component.

Abstract: The present invention provides an electro-optical device comprising a cell of polymer-stabilized blue phase (PSBP) liquid crystal under an electrical field and a method of controlling the reflection and transmission of an incident electromagnetic radiation such as visible light, by way of controlling the electrical field. The invention exhibits merits such as cost-effectiveness; simpler manufacturability due to the removal of requirements of polarizer and color filter; and fast switching, among others.

Abstract: The present, invention relates to liquid crystal compositions having a smectic A structure for use in an optical device in which the composition is sandwiched between a pair of electrodes (12-15). In essence the composition includes a siloxane oligomer (component (a)) which may be seen to construct a layered SmA system of particular spacing and “strength”. Within this structure a low molar mass nematic mesogen (component (c)) is provided that may be considered to be that of a “plasticiser” which moderates the layer “strength”, while simultaneously providing tuneability to the properties of the composition, e.g. its refractive index or dielectric anisotropy. The addition of a side chain liquid crystal polysiloxane (component (d)) allows such systems to be further moderated since they can be considered as binding together the la>¾rs, both within a given layer and between layers.

Abstract: The invention relates to a liquid-crystalline medium which contains at least two polymerisable compounds or reactive mesogens (RM) and at least one compound selected from the group of compounds of the formula IIA, IIB and IIC, in which R2A, R2B, R2C, L1-6, ring B, Z2, Z2, p, q and v have the meanings indicated in Claim 1, and to the use thereof for an active-matrix display, in particular based on the VA, PSA, PS-VA, PALC, FFS, PS-FFS, IPS or PS-IPS effect, especially for the use in LC displays of the PS (polymer stabilised) or PSA (polymer sustained alignment) type.

Abstract: A light absorption anisotropic film, having at least one dichroic dye, in which the light absorption anisotropic film shows a diffraction peak derived from a periodic structure in a direction in a plane of the light absorption anisotropic film in X-ray diffraction measurement and the diffraction peak has a half width of 1.0 ? or less.

Abstract: The present invention relates to polymerizable compounds, to processes and intermediates for the preparation thereof, to liquid-crystal (LC) media comprising them, and to the use of the polymerizable compounds and LC media for optical, electro-optical and electronic purposes, in particular in LC displays, especially in LC displays of the PSA (“polymer sustained alignment”) type.

Abstract: Provided is a liquid crystal composition satisfying at least one of characteristics such as high maximum temperature of a nematic phase, low minimum temperature of the nematic phase, small viscosity, suitable optical anisotropy, large negative dielectric anisotropy, large specific resistance, high stability to ultraviolet light and high stability to heat, or having a suitable balance regarding at least two of the characteristics. Also provided is an AM device having a short response time, a large voltage holding ratio, a large contrast ratio, a long service life and so forth. The liquid crystal composition contains a specific compound having a polymerizable group as a first component, a specific compound having a large negative dielectric anisotropy and a low minimum temperature as a second component, or a specific compound having a small viscosity or a large maximum temperature as a third component, and a liquid crystal display device contains the composition.

Abstract: A display device that prevents occurrence of a phenomenon where a boundary portion of a pixel region becomes dark, and a method of manufacturing the same.

Abstract: The present invention provides a method for termination detection of optical alignment of liquid crystal material, which includes: under influence of electrical field, irradiating light on liquid crystal material so that reactive monomers in liquid crystal material polymerizing; detecting a residual amount or a thickness change value of the reactive monomers in liquid crystal material to determine detected residual amount of reactive monomers or thickness change value in liquid crystal box reaching a default value; when reaching default value, terminating optical alignment of liquid crystal material. The present invention also provides a device for termination detection of optical alignment of liquid crystal material. Through detecting termination of optical alignment, the present invention realizes automatic control of irradiation time in optical alignment to reduce the effect of individual glass substrate variation on optical alignment to avoid affecting reaction process of alignment on reactive monomer.

Abstract: The present invention provides a liquid crystal display device capable of preventing a decrease in voltage holding ratio (VHR) of a liquid crystal layer and an increase in ion density (ID) and resolving the problem of display defects such as white spots, alignment unevenness, image sticking, and the like. The liquid crystal display device of the present invention is characterized by preventing a decrease in voltage holding ratio (VHR) of a liquid crystal layer and an increase in ion density (ID) and suppressing the occurrence of display defects such as image sticking and the like, and is thus particularly useful for a VA-mode or PSVA-mode liquid crystal display device for active matrix driving, and can be applied to liquid crystal display devices such as a liquid crystal TV, a monitor, a cellular phone, a smart phone, and the like.

Abstract: The methods, devices, and/or compositions described herein can used to reduce variations, such as spatial and temporal variations, in luminance intensity. Luminance variation is reduced by varying some aspect of transmittance with respect to the intensity of light.

Abstract: There is provided a liquid crystal display device capable of preventing a decrease in voltage holding ratio (VHR) of a liquid crystal layer and an increase in ion density (ID) and resolving the problem of display defects such as white spots, alignment unevenness, image sticking, and the like. The liquid crystal display device prevents a decrease in voltage holding ratio (VHR) of a liquid crystal layer and an increase in ion density (ID) and suppressing the occurrence of display defects such as image sticking and the like. The liquid crystal display device is thus useful for a VA-mode or PSVA-mode liquid crystal display device for active matrix driving. The application of the device includes liquid crystal display devices such as liquid crystal TVs, monitors, cellular phones, and smart phones.

Abstract: A liquid crystal composition containing a polymerizable compound of the present invention has excellent characteristics of being able to prepare a PSA type liquid crystal display element with no problem of depositing in a wide temperature range, having high polymerization speed, high liquid crystal alignment regulation force after polymerization, excellent display qualities with no display unevenness or the like, and excellent display characteristics with no defects in display characteristics such as image sticking and is appropriate as a liquid crystal composition in a practical use. Further, the liquid crystal display element with the above-described liquid crystal composition can be appropriately used for a PSA type liquid crystal display element.

Abstract: The present application relates to a liquid crystal cell, a method for preparing a liquid crystal cell and a display device. An exemplary liquid crystal cell may be applied to various types of display devices so as to control a viewing angle or light transmittance of the display device.

Abstract: A method of making a liquid crystal device is provided, the method comprising (i) providing a cell containing a mixture of a liquid crystal and pre-polymer (ii) applying a stimulus to arrange the liquid crystal in a first predetermined state and (iii) subsequent to, or contemporaneously with, step (ii), causing the pre-polymer to form polymer when the liquid crystal is in a second predetermined state, wherein steps (ii) and (iii) are performed a plurality of times.