Display method and device of system desktop view and storage medium

文档序号:1963870 发布日期:2021-12-14 浏览:19次 中文

阅读说明:本技术 系统桌面视图的显示方法、装置及存储介质 (Display method and device of system desktop view and storage medium ) 是由 袁翔 周晓辰 郑飞 于 2021-09-17 设计创作,主要内容包括:本发明涉及一种系统桌面视图的显示方法、装置及存储介质。显示方法包括如下步骤,在系统桌面设置网页视图区域;以及启动所述系统桌面,在所述网页视图区域加载在线网页地址的网页视图。本发明的技术方案通过在系统桌面设置网页视图区域,可以在系统桌面区显示除了APP图标以外的网页视图,提高了系统向用户展示形式的多样性及用户参与感。(The invention relates to a display method and device of a system desktop view and a storage medium. The display method comprises the following steps of setting a webpage view area on a system desktop; and starting the system desktop, and loading the webpage view of the online webpage address in the webpage view area. According to the technical scheme, the webpage view area is arranged on the system desktop, the webpage views except the APP icon can be displayed in the system desktop area, and the diversity of display forms of the system to users and the participation sense of the users are improved.)

1. A method for displaying a system desktop view, comprising:

setting a webpage view area on a system desktop in response to desktop setting operation; and

and responding to a starting operation, starting the system desktop, and loading a webpage view of an online webpage address in the webpage view area.

2. The display method of claim 1, further comprising, after launching the system desktop: and judging the validity of the online webpage address, and displaying the webpage view of the online webpage address in the webpage view area when the online webpage address is legal.

3. The display method of claim 2, further comprising providing an image layout module in the web page view area, and loading and displaying a preset image in the web page view area by the image layout module when the online web page address is illegal.

4. The display method of claim 1, further comprising setting an image layout module in the webpage view area, wherein after starting the system desktop, further comprising: and judging whether a network exists or not, and if not, loading and displaying a preset image in the webpage view area by the image layout module.

5. The display method of claim 1, further comprising setting an image layout module in the webpage view area, wherein after starting the system desktop, further comprising: and in the loading process of the online webpage address, setting the webpage view to be invisible, and loading and displaying a preset image in the webpage view area by the image layout module.

6. The display method as claimed in claim 5, further comprising: and when the online webpage address is loaded successfully, setting the webpage view to be visible, and setting the preset image to be invisible by the image layout module.

7. The display method according to any one of claims 3 to 5, wherein the preset image is a history latest view of the web page view.

8. The display method of any one of claims 3 to 5, wherein the system desktop comprises an android system desktop, and the image layout module comprises any one or a combination of ImageView, relalativelayout, and FrameLayout.

9. A display device for a system desktop view, comprising:

a memory for storing instructions executable by the processor;

a processor for executing the instructions to implement the method of any one of claims 1-8.

10. A computer-readable medium having stored thereon computer program code which, when executed by a processor, implements the method of any of claims 1-8.

Technical Field

The present invention relates to the field of electronic devices, and in particular, to a method and an apparatus for displaying a system desktop view, and a storage medium.

Background

At desktop display positions of systems such as mobile phones, flat panels and vehicle-mounted control equipment, generally, only well-known App icons are stored, and users click the icons to open apps and enter corresponding App interfaces. However, for other types of user presentation interfaces, such as web pages like H5 page, JavaScript, etc., the existing desktop area of the android system is hardly implemented and compatible, and the presentation form provided to the user is very single.

Therefore, a display method of a system desktop view with good compatibility and high robustness is urgently needed, so that other types of user display interfaces can be displayed on a desktop area of an android system, more display forms are provided for users, and user experience and activity of user participation are improved.

Disclosure of Invention

The invention aims to provide a display method, a display device and a storage medium of a system desktop view, and solves the problem of single display form of the system desktop area.

In order to solve the above technical problem, the present invention provides a method for displaying a system desktop view, comprising: setting a webpage view area on a system desktop in response to desktop setting operation; and responding to a starting operation, starting the system desktop, and loading the webpage view of the online webpage address in the webpage view area.

In an embodiment of the present invention, after the system desktop is started, the method further includes: and judging the validity of the online webpage address, and displaying the webpage view of the online webpage address in the webpage view area when the online webpage address is legal.

In an embodiment of the present invention, the method further includes setting an image layout module in the webpage view area, and when the online webpage address is illegal, the image layout module loads and displays a preset image in the webpage view area.

In an embodiment of the present invention, the method further includes setting an image layout module in the webpage view area, where after the system desktop is started, the method further includes: and judging whether a network exists or not, and if not, loading and displaying a preset image in the webpage view area by the image layout module.

In an embodiment of the present invention, the method further includes setting an image layout module in the webpage view area, where after the system desktop is started, the method further includes: and in the loading process of the online webpage address, setting the webpage view to be invisible, and loading and displaying a preset image in the webpage view area by the image layout module.

In an embodiment of the present invention, the method further includes: and when the online webpage address is loaded successfully, setting the webpage view to be visible, and setting the preset image to be invisible by the image layout module.

In an embodiment of the present invention, the preset image is a historical latest view of the web page view.

In an embodiment of the present invention, the system desktop includes an android system desktop, and the image layout module includes any one or a combination of multiple of ImageView, relalativelayout, and FrameLayout.

The present invention further provides a display device of a system desktop view for solving the above technical problems, comprising: a memory for storing instructions executable by the processor; a processor for executing the instructions to implement the method of any one of the display methods of a system desktop view.

The present invention also provides a computer readable medium storing a computer program code, which when executed by a processor implements any one of the methods for displaying a system desktop view.

Compared with the prior art, the invention has the following beneficial effects:

according to the technical scheme, the webpage view area is arranged on the system desktop, so that the webpage views except the APP icon can be displayed on the system desktop, and the diversity of the display form of the system to the user and the participation sense of the user are improved; by introducing the image layout module and simultaneously adjusting the state of the webpage view area and the state of the image layout module, the system desktop can still display effective pictures when a network does not exist or a default website is illegal, the problem of a white screen or dead halt state caused by long loading time is avoided, and the user experience is improved.

Drawings

In order to make the aforementioned objects, features and advantages of the present invention comprehensible, embodiments accompanied with figures are described in detail below, wherein:

FIG. 1 is an exemplary flow chart of a method for displaying a system desktop view according to one embodiment of the invention;

FIG. 2 is a schematic diagram of a system desktop according to an embodiment of the present invention;

FIG. 3 is an exemplary flow chart of a method for displaying a system desktop view according to one embodiment of the invention;

fig. 4 is a system block diagram of a display device of a system desktop view according to an embodiment of the present invention.

Detailed Description

In order to make the aforementioned objects, features and advantages of the present invention comprehensible, embodiments accompanied with figures are described in detail below.

In the following description, numerous specific details are set forth in order to provide a thorough understanding of the present invention, but the present invention may be practiced in other ways than those specifically described herein, and thus the present invention is not limited to the specific embodiments disclosed below.

As used in this application and the appended claims, the terms "a," "an," "the," and/or "the" are not intended to be inclusive in the singular, but rather are intended to be inclusive in the plural unless the context clearly dictates otherwise. In general, the terms "comprises" and "comprising" merely indicate that steps and elements are included which are explicitly identified, that the steps and elements do not form an exclusive list, and that a method or apparatus may include other steps or elements.

The relative arrangement of the components and steps, the numerical expressions, and numerical values set forth in these embodiments do not limit the scope of the present application unless specifically stated otherwise. Meanwhile, it should be understood that the sizes of the respective portions shown in the drawings are not drawn in an actual proportional relationship for the convenience of description. Techniques, methods, and apparatus known to those of ordinary skill in the relevant art may not be discussed in detail but are intended to be part of the specification where appropriate. In all examples shown and discussed herein, any particular value should be construed as merely illustrative, and not limiting. Thus, other examples of the exemplary embodiments may have different values. It should be noted that: like reference numbers and letters refer to like items in the following figures, and thus, once an item is defined in one figure, further discussion thereof is not required in subsequent figures.

Further, although the terms used in the present application are selected from publicly known and used terms, some of the terms mentioned in the specification of the present application may be selected by the applicant at his or her discretion, the detailed meanings of which are described in relevant parts of the description herein. Further, it is required that the present application is understood not only by the actual terms used but also by the meaning of each term lying within.

Flow charts are used herein to illustrate operations performed by systems according to embodiments of the present application. It should be understood that the preceding or following operations are not necessarily performed in the exact order in which they are performed. Rather, various steps may be processed in reverse order or simultaneously. Meanwhile, other operations are added to or removed from these processes.

The display method of the system desktop view can be used for a display system of a vehicle machine system. In the car-in-vehicle system of the modern car, a display touch screen is generally used as a main object for receiving user input operation. A plurality of App icons are often displayed on a display touch screen of the vehicle machine system, and a user can enter a corresponding application interface by clicking the App icons so as to open the application interface and realize corresponding functions. According to the display method, the webpage view can be displayed on the display system desktop of the vehicle-mounted machine system, and the display method has the advantages of being strong in robustness and good in user experience.

Fig. 1 is an exemplary flowchart of a display method of a system desktop view according to an embodiment of the present invention. Referring to fig. 1, the specific steps of this embodiment are as follows:

step S110: setting a webpage view area on a system desktop in response to desktop setting operation;

step S120: and responding to the starting operation, starting the system desktop, and loading the webpage view of the online webpage address in the webpage view area.

The above steps S110 and S120 are described in detail below with reference to fig. 2.

In step S110, the specific type of the system is not limited. Preferably, the system is an android system.

FIG. 2 is a diagram of a system desktop according to an embodiment of the invention. Referring to fig. 2, a web page view area 210 is provided on the system desktop 200. The web page view area 210 is used to define an area for displaying a web page view.

In step S110, the user performs a desktop setting operation to customize the layout of the system desktop 200 and set the web page view area therein. In the embodiment shown in FIG. 2, the user places some of the original APP icons 220 on the system desktop 200 to the left of the system desktop 200 and places the web page view area 220 to the right of the system desktop 200. The illustration in fig. 2 is merely schematic. In the embodiment of the present invention, the web page view area 210 may be disposed at any position of the system desktop 200, which is not limited thereto.

In the embodiment shown in FIG. 2, 1 Web page view area 210 is provided in the system desktop 200. The invention does not limit the number of the webpage view areas on the desktop of the system. In other embodiments, there may be multiple web page view areas 210 that are independent of each other. The user can customize the location and number of the web page view area 210.

In some embodiments, the web view area 210 is set using a Webview control of the android system.

Step S110 may be performed by a user after the system desktop is started, and stored in the system. The system can perform the layout of the web page view area according to the setting of the system desktop when the system desktop is started next time.

In step S120, in response to the start operation, the system desktop 200 is started, and the web page view of the online web page address is loaded in the web page view area 210.

In some embodiments, the online web page address in the web page view area 210 may be set as desired. For example, a business may customize a web page, provide an online web address by the business, and push targeted content, such as advertisements, trailers, etc., to the user via the web address. The user can also set the online webpage address in a self-defining way.

In some embodiments, the step of loading the web page view of the online web page address in the web page view area 210 in step S120 includes: and when the webpage loading is successful, displaying a webpage view of the online webpage address, when the webpage loading is failed, displaying the latest online webpage screenshot without displaying the webpage view in the webpage view area, and if not, displaying a preset picture.

In some embodiments, the default display state of the web page view area 210 is the display state when the system android 200 is launched. That is, when the loading of the web page view by the web page view area 210 is successful, the web page view area 210 will directly display the web page view of the online web page address.

The displayed state of the web page view area 210 may also be a hidden state. When set to the hidden state, the web page view area 210 does not display the web page view regardless of whether the web page view was loaded successfully. In this case, the web page view area 210 may be caused to display a preset image that is displayed independently of the web page view and at the same layout.

In some embodiments of the present invention, after the step S120 of starting the system desktop, the method further includes:

step S121: and judging the legality of the online webpage address, and displaying the webpage view of the online webpage address in a webpage view area when the online webpage address is legal.

The validity of the online web page address may be determined by, for example: regular expression, Http URL, etc., which are not limited in the present invention.

In some embodiments, after the step S121, the method further includes:

step S122: and arranging an image layout module in the webpage view area, and loading and displaying a preset image in the webpage view area by the image layout module when the online webpage address is illegal.

The image layout module has a function of displaying pictures. In some embodiments, the image layout module is an ImageView control of the android system.

Referring to fig. 2, the image layout module 230 is disposed in the web page view area 210, and the image layout module 230 may be overlaid on the web page view area 210. The image layout module 230 may be sized to correspond to the size of the web page view area 210 or may not be sized to correspond to the size of the web page view area 210. In the embodiment shown in FIG. 2, the size of the image layout module 230 is slightly smaller than the size of the web page view area 210. The illustration in fig. 2 is merely an illustration and is not intended to limit the size and position relationship between the image layout module 230 and the web page view area 210.

In some embodiments, a default state of the image layout module 230 may be set to a hidden state. When the online webpage address is determined to be illegal, the image layout module 230 loads a preset image in the webpage view area 210, and simultaneously, the state of the image layout module 230 is set to a display state, and the image layout module 230 displays the preset image.

According to the embodiment, before the webpage view of the online webpage address is loaded in the webpage view area 210, the validity of the online webpage address is judged, so that the problems that the loading time of a system is too long, a user waits for a long time and the user experience is poor due to the fact that the address is illegal or the network speed is too slow can be solved.

In some embodiments of the present invention, after the step S120 of starting the system desktop, the method further includes:

step S123: the image layout module 230 is disposed in the web page view area 210, and determines whether a network exists, and if the network does not exist, the image layout module 230 loads and displays a preset image in the web page view area 210.

In step S123, the image layout module 230 is disposed in the web page view area 210 similar to step S122, which is not described herein again. After the system desktop 200 is started, it is determined whether a network exists, if the network does not exist, the web view area 210 cannot load the web view of the online web address, in order to prevent the web view area 210 from displaying an empty page, the image layout module 230 loads a preset image in the web view area 210, and simultaneously, the state of the image layout module 230 is set to be a display state, and the image layout module 230 displays the preset image.

When a network exists, the process may directly go to step S120 to access the online webpage address, and load the webpage view of the online webpage address in the webpage view area 210; or go to S121-S122, determine the validity of the online webpage address, go to step S120, and load the webpage view of the online webpage address in the webpage view area 210.

In some embodiments of the present invention, the display method further includes setting the image layout module 230 in the webpage view area 210, setting the webpage view invisible during the loading process of the online webpage address, and the image layout module 230 loading and displaying a preset image in the webpage view area 210. When the online webpage address is successfully loaded, the webpage view is set to be visible, and the image layout module 230 sets the preset image to be invisible.

Under the condition that the network condition is not good, the loading process of the online webpage address is long, a certain waiting time may need to be consumed, and if in the waiting time, the webpage view area 210 does not display any page view or displays the view in the connection, bad experience is easily brought to the user. Therefore, according to the above-mentioned embodiment, the state of the web page view area 210 is set to be invisible, that is, hidden state, in the loading process of the web page view of the online web page address, and meanwhile, the state of the image layout module 230 is set to be display state, and the image layout module 230 loads and displays the preset image in the web page view area 210, so that the anxiety of user waiting can be reduced, and the user experience can be improved. When the online webpage address is loaded successfully, and the latest webpage view is loaded in the webpage view area 210, the state of the webpage view area 210 is set to be the display state, the image layout module 230 is set to be the hidden state, and the preset image is replaced by the latest webpage view, so that the system desktop 200 provides the latest webpage view for the user, and the real-time performance of the webpage view on the system desktop 200 is maintained.

The present invention does not limit the specific content of the preset image. The user can customize the preset image. The preset image may be a still picture, a moving picture, a video, or the like.

In some embodiments of the invention, the preset image is a historical up-to-date view of the web page view. After the web page view of the online web page address is loaded successfully in the web page view area 210 in step S120, the system desktop 200 performs screenshot saving processing on the web page view of the web page view area 210, and takes the screenshot as a history latest view before next loading. The screenshot saving process of the system desktop 200 may be performed in real time or at a predetermined frequency. If the web page view area 210 has never been loaded successfully, the default picture is taken as the historical up-to-date view. The default picture may be the preset image described above.

In some embodiments of the invention, the system desktop comprises an android system desktop, and the image layout module comprises any one or a combination of ImageView, Relativelayout, FrameLayout.

In some embodiments of the present invention, when the network is reconnected, which is equivalent to restarting the system desktop 200, the process may go to step S120 and repeat the above steps.

In some cases, when the bottom layer logic of the system desktop has an error, the user is prompted to disconnect the network, so that the system can perform network connection again, and the subsequent steps may refer to step S120, which is not described herein again.

According to the invention, the webpage view area is arranged on the system desktop, so that the webpage views except the APP icon can be displayed on the system desktop, and the diversity of the display forms of the system for the user and the participation sense of the user are improved; by introducing the image layout module and simultaneously adjusting the state of the webpage view area and the state of the image layout module, the system desktop can still display the latest image when the network does not exist or the default website is illegal, the problem that any page is not displayed due to long-time loading is avoided, and the system desktop has the advantages of being high in robustness and improving user experience.

Fig. 3 is an exemplary flowchart of a method for displaying a system desktop view according to an embodiment of the present invention. Fig. 3 shows a specific embodiment of the display method of the system desktop view based on the foregoing, in which a web view area is set by using a WebView control, an image layout module uses an ImageView control, and the desktop system is an android desktop system. Referring to fig. 3, the display method of this embodiment includes:

step S310: after the process is started, the system desktop is started, and the desktop layout is customized.

In this step, the customized desktop layout includes the user setting a web page view area on the system desktop, for example, setting the position, size, online web page address, default display state, and the like of the web page view area. Step S312 is performed after step S310.

Step S312: and judging whether a network exists, if so, executing the step S314, and otherwise, executing the step S316.

Step S314: and judging whether the background data is correct or not, if so, executing step S318, and otherwise, executing step S316.

Step S316: and judging whether the historical screenshot exists, if so, executing step S324, and otherwise, executing step S322.

The historical screenshot is a historical screenshot which is intercepted and stored by the system when the webpage view area is successfully displayed in history.

Step S318: WebView loads online pages.

On the premise that the network and background data are correct, the online page, i.e. the web page view of the online web page address, is loaded in step S318.

Step S320: it is determined whether the loading is completed and the page loading is successful, if so, step S326 is executed, otherwise, step S316 is executed.

Step S322: ImageView shows the default page.

The default page here is the preset image described above. Because there is no network, there is no historical screenshot in the system, and the online page loading is unsuccessful, in step S322, the ImageView is made to display the default page, so as to avoid causing the webpage view area to be blank or dead, thereby improving the user experience.

Step S328 is performed after step S322.

Step S324: ImageView shows the latest history page.

Since there is no network, but there are historical screenshots in the system, at this step the ImageView selects the latest historical screenshot to display. A plurality of historical screenshots can be stored in the system, and the historical screenshot closest to the current time can be selected as the latest historical screenshot according to time sequencing.

Step S328 is performed after step S324.

Step S326: WebView displays online pages.

And displaying the current online page through WebView in the step on the premise of network, correct background data, complete WebView loading and successful WebView loading.

Step S328 is performed after step S326.

Step S328: and judging whether the network is reconnected, if so, executing the step S312, and if not, ending the process.

According to the embodiment shown in fig. 3, after the system desktop is started, through a series of judgment processes, the network view area is enabled to always display effective images, and a white screen or a dead halt state is avoided.

The invention also includes a display device of the system desktop view, which comprises a memory and a processor. Wherein the memory is to store instructions executable by the processor; the processor is used for executing the instruction to realize the display method of the system desktop view.

Fig. 4 is a system block diagram of a display device of a system desktop view according to an embodiment of the present invention. Referring to fig. 4, the display device 400 may include an internal communication bus 401, a processor 402, a Read Only Memory (ROM)403, a Random Access Memory (RAM)404, and a communication port 405. When used on a personal computer, the display device 400 may also include a hard disk 406. The internal communication bus 401 may enable data communication between the components of the display apparatus 400. The processor 402 may make the determination and issue the prompt. In some embodiments, processor 402 may be comprised of one or more processors. The communication port 405 may enable data communication of the display apparatus 400 with the outside. In some embodiments, the display device 400 may send and receive information and data from a network through the communication port 405. The display device 400 may also include various forms of program storage units and data storage units, such as a hard disk 406, Read Only Memory (ROM)403 and Random Access Memory (RAM)404, capable of storing various data files for computer processing and/or communication, as well as possible program instructions for execution by the processor 402. The processor executes these instructions to implement the main parts of the method. The results processed by the processor are communicated to the user device through the communication port and displayed on the user interface.

The display method described above can be implemented as a computer program, stored in the hard disk 406, and loaded into the processor 402 to be executed, so as to implement the display method of the present application.

The invention also comprises a computer readable medium having stored thereon computer program code which, when executed by a processor, implements the method of displaying a desktop view of a system as described above.

When the display method of the system desktop view is implemented as a computer program, it may also be stored in a computer-readable storage medium as an article of manufacture. For example, computer-readable storage media can include but are not limited to magnetic storage devices (e.g., hard disk, floppy disk, magnetic strips), optical disks (e.g., Compact Disk (CD), Digital Versatile Disk (DVD)), smart cards, and flash memory devices (e.g., electrically Erasable Programmable Read Only Memory (EPROM), card, stick, key drive). In addition, various storage media described herein can represent one or more devices and/or other machine-readable media for storing information. The term "machine-readable medium" can include, without being limited to, wireless channels and various other media (and/or storage media) capable of storing, containing, and/or carrying code and/or instructions and/or data.

It should be understood that the above-described embodiments are illustrative only. The embodiments described herein may be implemented in hardware, software, firmware, middleware, microcode, or any combination thereof. For a hardware implementation, the processor may be implemented within one or more Application Specific Integrated Circuits (ASICs), Digital Signal Processors (DSPs), Digital Signal Processing Devices (DSPDs), Programmable Logic Devices (PLDs), Field Programmable Gate Arrays (FPGAs), processors, controllers, micro-controllers, microprocessors, and/or other electronic units designed to perform the functions herein, or a combination thereof.

Aspects of the present application may be embodied entirely in hardware, entirely in software (including firmware, resident software, micro-code, etc.) or in a combination of hardware and software. The above hardware or software may be referred to as "data block," module, "" engine, "" unit, "" component, "or" system. The processor may be one or more Application Specific Integrated Circuits (ASICs), Digital Signal Processors (DSPs), digital signal processing devices (DAPDs), Programmable Logic Devices (PLDs), Field Programmable Gate Arrays (FPGAs), processors, controllers, microcontrollers, microprocessors, or a combination thereof. Furthermore, aspects of the present application may be represented as a computer product, including computer readable program code, embodied in one or more computer readable media. For example, computer-readable media may include, but are not limited to, magnetic storage devices (e.g., hard disk, floppy disk, magnetic strips … …), optical disks (e.g., Compact Disk (CD), Digital Versatile Disk (DVD) … …), smart cards, and flash memory devices (e.g., card, stick, key drive … …).

The computer readable medium may comprise a propagated data signal with the computer program code embodied therein, for example, on a baseband or as part of a carrier wave. The propagated signal may take any of a variety of forms, including electromagnetic, optical, and the like, or any suitable combination. The computer readable medium can be any computer readable medium that can communicate, propagate, or transport the program for use by or in connection with an instruction execution system, apparatus, or device. Program code on a computer readable medium may be propagated over any suitable medium, including radio, electrical cable, fiber optic cable, radio frequency signals, or the like, or any combination of the preceding.

Having thus described the basic concept, it will be apparent to those skilled in the art that the foregoing disclosure is by way of example only, and is not intended to limit the present application. Various modifications, improvements and adaptations to the present application may occur to those skilled in the art, although not explicitly described herein. Such modifications, improvements and adaptations are proposed in the present application and thus fall within the spirit and scope of the exemplary embodiments of the present application.

Also, this application uses specific language to describe embodiments of the application. Reference throughout this specification to "one embodiment," "an embodiment," and/or "some embodiments" means that a particular feature, structure, or characteristic described in connection with at least one embodiment of the present application is included in at least one embodiment of the present application. Therefore, it is emphasized and should be appreciated that two or more references to "an embodiment" or "one embodiment" or "an alternative embodiment" in various places throughout this specification are not necessarily all referring to the same embodiment. Furthermore, some features, structures, or characteristics of one or more embodiments of the present application may be combined as appropriate.

Numerals describing the number of components, attributes, etc. are used in some embodiments, it being understood that such numerals used in the description of the embodiments are modified in some instances by the use of the modifier "about", "approximately" or "substantially". Unless otherwise indicated, "about", "approximately" or "substantially" indicates that the number allows a variation of ± 20%. Accordingly, in some embodiments, the numerical parameters used in the specification and claims are approximations that may vary depending upon the desired properties of the individual embodiments. In some embodiments, the numerical parameter should take into account the specified significant digits and employ a general digit preserving approach. Notwithstanding that the numerical ranges and parameters setting forth the broad scope of the range are approximations, in the specific examples, such numerical values are set forth as precisely as possible within the scope of the application.

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