Non-volatile memory device and method of operating the same
Granted 26 Jul 2011 · no office action yet
Assignee: Samsung Electronics
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Inventors: Tae-eung Yoon, Tae-hee Lee, June-mo Koo, Won-joo Kim +1 · Examiner: Tuan T Nguyen · AU 2824 · TC 2800
Life of the application
6 dated eventsAbstract
A non-volatile memory device having a stack structure, and a method of operating the non-volatile memory device In which the non-volatile memory device includes a plurality of variable resistors arranged in at least one layer. At least one layer selection bit line and a plurality of bit lines coupled to the plurality of the variable resistors are provided. A plurality of selection transistors coupled between the plurality of the bit lines and the plurality of the variable resistors are provided.
Description
8 parts›CROSS-REFERENCE TO RELATED APPLICATIONS
This application claims priority to Korean Patent Application No. 10-2008-0075619, filed on Aug. 1, 2008 in the Korean Intellectual Property Office, the disclosure of which is incorporated by reference in their entirety.
›BACKGROUND
1. Technical Field
One or more exemplary embodiments of the present invention relate to a semiconductor device, and more particularly, to a non-volatile memory device using variable resistors, and a method of operating the non-volatile memory device.
2. Discussion of the Related Art
Semiconductor products are required to have an increasingly compact size and increased data processing capabilities. Thus the operating speed and the integration degree of non-volatile memory devices used in the semiconductor products needs to be increased. In this regard, a multi-layered non-volatile memory device is advantageous for high integration compared to a conventional single-layered non-volatile memory device.
When using a non-volatile memory device having a multi-layered structure, memory cells can be stacked vertically, each layer having the same arrangement as that of a single-layered structure.
›SUMMARY
According to one exemplary embodiment of the present invention a non-volatile memory device comprises: a plurality of variable resistors arranged in at least one layer and storing data; at least one layer selection bit line coupled to a first end of the plurality of the variable resistors; a plurality of bit lines coupled to a second end of the plurality of the variable resistors; a plurality of selection transistors coupled between the plurality of the bit lines and the plurality of the variable resistors; and a plurality of word lines coupled to the plurality of the selection transistors so as to switch the plurality of the selection transistors on or off.
The non-volatile memory device may further comprise a plurality of diodes that is coupled between the plurality of the variable resistors and the plurality of the selection transistors.
The plurality of the variable resistors may be arranged in a matrix in each layer, and the plurality of the bit lines and the plurality of the word lines may cross one another to allow selective access to the variable resistors.
The at least one layer selection bit line may comprise a plurality of branch lines that are connected to one another, and the plurality of the variable resistors may be arranged along the extension direction of the plurality of the branch lines.
The at least one layer selection bit line may comprise a first layer selection bit line and a second layer selection bit line that are separated from each other in each layer. Moreover, the first layer selection bit line may comprise a plurality of first branch lines that is connected to one another, and the second layer selection bit line may comprise a plurality of second branch lines that is connected to one another. Furthermore, the plurality of the variable resistors may be arranged in a plurality of pairs between the plurality of the first branch lines and the plurality of the second branch lines, and each pair of the variable resistors may be commonly coupled to each selection transistor.
There is a method of operating the non-volatile memory device according to another exemplary embodiment of the invention. At least one layer selection bit line may be selected among the plurality of layer selection bit lines. At least one bit line may be selected among the plurality of the bit lines. At least one word line may be selected among the plurality of the word lines.
According to another exemplary embodiment of the present invention, there is a method of operating a non-volatile memory device comprises providing a plurality of variable resistors arranged in a matrix array in at least one layer, providing at least one layer selection bit line corresponding to layers of the variable resistors, at least one bit line corresponding to rows of the variable resistors and at least one write line corresponding to columns of the variable resistors, selecting at least one layer selection bit line among the layer selection bit lines, selecting at least one bit line among the plurality of bit lines, selecting at least one word line among the plurality of word lines and applying an operational voltage to the selected at least one layer selection bit line, the selected at least one bit line and the selected at least one word line accessing at least one of the plurality of variable resistors.
›BRIEF DESCRIPTION OF THE DRAWINGS
Exemplary embodiments of the present invention will become apparent and more readily appreciated from the following description of the embodiments, taken in conjunction with the accompanying drawings of which:
FIG. 1 is a circuit diagram illustrating a non-volatile memory device according to an exemplary embodiment of the present invention;
FIG. 2 is a circuit diagram illustrating a method of accessing one of the variable resistors of the non-volatile memory device of FIG. 1 according to an exemplary embodiment of the present invention;
FIG. 3 is a circuit diagram illustrating a method of accessing at least two of the variable resistors of the non-volatile memory device of FIG. 1 according to another exemplary embodiment of the present invention;
FIG. 4 is a circuit diagram illustrating a non-volatile memory device according to another exemplary embodiment of the present invention;
FIG. 5 is a circuit diagram illustrating a non-volatile memory device according to another exemplary embodiment of the present invention;
FIG. 6 is a circuit diagram illustrating a non-volatile memory device according to another exemplary embodiment of the present invention;
FIG. 7 is a circuit diagram illustrating a method of accessing one of the variable resistors of the non-volatile memory device of FIG. 6 according to an exemplary embodiment of the present invention;
FIG. 8 is a circuit diagram illustrating a method of accessing at least two of the variable resistors of the non-volatile memory device of FIG. 6 according to another exemplary embodiment of the present invention;
FIG. 9 is a block diagram illustrating a memory card according to an exemplary embodiment of the present invention; and
FIG. 10 is a block diagram illustrating an electronic system according to an exemplary embodiment of the present invention.
›DETAILED DESCRIPTION OF EXEMPLARY EMBODIMENTS · 1 of 4
The present invention will be described in detail by explaining exemplary embodiments of the invention with reference to the attached drawings, wherein like reference numerals may refer to the same or similar elements throughout. In this regard, the present invention may be embodied in many different forms and should not be construed as being limited to the exemplary embodiments set forth herein. Accordingly, exemplary embodiments are merely described below, by referring to the figures, to explain aspects of the present invention. The size of elements in the drawings may be exaggerated for convenience of description.
FIG. 1 is a circuit diagram illustrating a non-volatile memory device according to an exemplary embodiment of the present invention.
Referring to FIG. 1 , a plurality of variable resistors R may be arranged as at least one layer. In FIG. 1 , the variable resistors R are arranged in two layers. However, the present embodiment is not limited thereto. For example, the variable resistors R may be arranged in one layer or in three or more layers.
Each of the variable resistors R may have a first end a 1 and a second end a 2 arranged at opposite ends to each other. For example, the variable resistors R may be arranged in a matrix in each layer. The variable resistors R may be arranged such that the first ends a 1 are coupled to each other and the second ends a 2 are coupled to each other. The arrangements of the variable resistors R in each layer may be identical, but the present embodiment is not limited to this example.
The variable resistors R may store resistance changes thereof locally or wholly. For example, the variable resistors R may have at least two resistance states according to an applied voltage. These variable resistance characteristics of the variable resistors R may also be maintained when the voltage is removed. Accordingly, the variable resistors R may have data storing capability.
For example, the variable resistors R may include anti-fuse materials. The resistance state of the variable resistors R may change with or without phase change thereof. When the resistance state of the variable resistors R changes with phase change, the variable resistors R may be referred to as phase change resistors. The phase change resistors R may have a high resistance state or a low resistance state according to their crystalline states. For example, the variable resistors R may include a calcogenide compound such as GST (GeSb x Te y ), or NiO, Nb 2 O 5 , or ZnO.
For another example, the variable resistors R may include a fuse material such as an insulation breaking material. For example, the variable resistors R may include an insulating material whose insulation can be broken according to an applied voltage. For example, the insulating material may be an oxide. Since this kind of insulation breaking material cannot be reversed once broken, the non-volatile memory device may be used as a one-time program (OTP) memory. The OTP memory may be used in products that require high memory capacity, despite its one-time usage.
Diodes D may be coupled to the second ends a 2 of the variable resistors R. The diodes D may rectify currents. Two diodes D may be coupled in opposite directions to each other between the two second ends a 2 of the variable resistors R adjacent to each other so as not to allow a direct current flow. For example, the diodes D may be PN diodes or Schottky diodes.
The variable resistors R may be coupled to at least one layer selection bit line. For example, the at least one layer selection bit line may include first layer selection bit lines BLe 1 and BLe 2 and second layer selection bit lines BLo 1 and BLo 2 which are separated from each other. The stack number of the variable resistors R may vary in accordance with the number of the layer selection bit lines.
For example, the first ends a 1 of the variable resistors R of a first layer may be coupled to a first layer selection bit line BLe 1 and a second layer selection bit line BLo 1 of a first layer. The first ends a 1 of the variable resistors R of a second layer may be coupled to a first layer selection bit line BLe 2 and a second layer selection bit line BLo 2 of a second layer.
For example, the first layer selection bit lines BLe 1 and BLe 2 may include a plurality of first branch lines e 1 and e 2 that are connected to one another, and the second layer selection bit lines BLo 1 and BLo 2 may include a plurality of second branch lines o 1 and o 2 that are connected to one another. The first branch lines e 1 and e 2 and the second branch lines o 1 and o 2 may be arranged in parallel. In addition, the first branch lines e n and the second branch lines o n may be alternately arranged, i.e. in the order o 1 , e 1 , o 2 , e 2 in this example. The number of the first branch lines e 1 and e 2 and the second branch lines o 1 and o 2 of the present invention should not be limited thereto.
The first ends a 1 of the variable resistors R may be connected to corresponding ones of the first branch lines e 1 and e 2 and the second branch lines o 1 and o 2 . Accordingly, the variable resistors R are arranged in a plurality of rows along the extension direction of the first branch lines e 1 and e 2 and the second branch lines o 1 and o 2 , and in a plurality of lines perpendicular to the extension direction of the first branch lines e 1 and e 2 and the second branch lines o 1 and o 2 . The variable resistors R may be divided into a first group G 1 arranged in rows and a second group G 2 arranged in columns.
For example, a plurality of pairs of variable resistors R may be arranged along the extension direction of the first and second branch lines e 1 , e 2 , o 1 , and o 2 between one of the first branch lines e 1 and e 2 and one of the second branch lines o 1 and o 2 that is adjacent to the one first branch lines e 1 and e 2 . The pairs of the variable resistors R may be coupled such that a pair of diodes D are interposed between the second ends a 2 of the variable resistors R.
›DETAILED DESCRIPTION OF EXEMPLARY EMBODIMENTS · 2 of 4
A plurality of bit lines BL 1 , BL 2 , and BL 3 may be coupled to the second ends a 2 of the variable resistors R. A plurality of selection transistors Ts may be interposed between the bit lines BL 1 , BL 2 , and BL 3 and the variable resistors R, and in detail, between the bit lines BL 1 , BL 2 , and BL 3 and the diodes D. Accordingly, the bit lines BL 1 , BL 2 , and BL 3 may be coupled to the variable resistors R via the selection transistors Ts and the diodes D.
The selection transistors Ts may be disposed below a lowermost space between the diodes D of each layer that are coupled in opposite directions to each other. The selection transistors Ts may be coupled to be shared by the two variable resistors R whose second ends a 2 are coupled to each other. Accordingly, the selection transistors Ts may be arranged in a matrix so as to correspond to each pair of the variable resistors R.
Each of the bit lines BL 1 , BL 2 , and BL 3 may be arranged so as to be shared by the variable resistors R of the first group G 1 of each row. For example, the bit lines BL 1 , BL 2 , and BL 3 may extend parallel to the first branch lines e 1 and e 2 and the second branch lines o 1 and o 2 .
A plurality of word lines WL 1 , WL 2 , and WL 3 may be coupled to the selection transistors Ts so as to switch the selection transistors Ts on and off. For example, the word lines WL 1 , WL 2 , and WL 3 may be coupled to gates of the selection transistors Ts. The word lines WL 1 , WL 2 , and WL 3 may be coupled to be shared by the selection transistors Ts arranged in each line.
For example, the word lines WL 1 , WL 2 , and WL 3 may be arranged to cross the bit lines BL 1 , BL 2 , and BL 3 such that selective access can be given to each pair of variable resistor R of each layer. Accordingly, the word lines WL 1 , WL 2 , and WL 3 may extend across the first branch lines e 1 and e 2 and the second branch lines o 1 and o 2 . Accordingly, when a voltage is applied to one of the word lines WL 1 , WL 2 , and WL 3 , the selection transistors Ts coupled to the variable resistors of the second group G 2 may be turned on at the same time. In this case, selective access to each pair of the variable resistors R in each layer is possible by selectively applying an operational voltage to one of the bit lines BL 1 , BL 2 , and BL 3 .
Accordingly, at least one of the variable resistors R can be accessed by selecting at least one layer by selecting at least one of the first and second layer selection bit lines BLe 1 , BLe 2 , BLo 2 , and BLo 2 , and selecting at least one of the bit lines BL 1 , BL 2 , and BL 3 , and selecting at least one of the word lines WL 1 , WL 2 , and WL 3 .
The non-volatile memory device according to the one exemplary embodiment of present invention can be manufactured to have high capacity and high integration degree by increasing the stack number of memory cells. Accordingly, the non-volatile memory device according to one exemplary embodiment can be applied to products with large capacity.
FIG. 2 is a circuit diagram illustrating a method of operating the non-volatile memory device of FIG. 1 according to an exemplary embodiment of the present invention.
Referring to FIG. 2 , one of the variable resistors R can be accessed randomly. For example, a variable resistor R in a selected memory cell C 1 can be accessed by selecting one first layer selection bit line BLe 1 , one bit line BL 2 , and one word line WL 1 . By such random access, the non-volatile memory device can be used as a storage medium for codes.
Writing data to or reading data from the variable resistor R in the memory cell C 1 can be performed by applying a corresponding operational voltage to the first layer selection bit line BLe 1 , the bit line BL 2 , and the word line WL 1 after or at the same time as the above selection operations.
The above-described method of writing or reading data by randomly accessing the variable resistor R in the memory cell C 1 may also be applied to other memory cells (not shown). For example, by applying required operational voltages by selecting one of the first and second layer selection bit lines BLe 1 , BLe 2 , BLo 1 , and BLo 2 , selecting one of the bit lines BL 1 , BL 2 , and BL 3 , and one of the word lines WL 1 , WL 2 , and WL 3 , selective writing/reading operation regarding a memory cell including one of the variable resistors R is possible.
FIG. 3 is a circuit diagram illustrating a method of operating the non-volatile memory device of FIG. 1 according to another exemplary embodiment of the present invention.
Referring to FIG. 3 , at least two of the variable resistors R can be accessed at the same time. For example, the variable resistors R in selected memory cells C 2 can be accessed at the same time by selecting one first layer selection bit line BLe 1 , selecting at least two bit lines BL 1 , BL 2 , and BL 3 , and selecting one word line WL 1 . By using this multiple access, the non-volatile memory device can be used as a large capacity storage medium.
Writing data to or reading data from the variable resistors R in the memory cells C 2 can be performed by applying corresponding operational voltages to the first layer selection bit line BLe 1 , the bit lines BL 1 , BL 2 , and BL 3 , and the word line WL 1 after or at the same time as the above selection operations.
The above-described method of writing/reading data by multiple access to the variable resistors R in the memory cells C 2 may also be applied to the operation of other memory cells (not shown). For example, by selecting some of the first and second layer selection bit lines BLe 1 , BLe 2 , BLo 1 , and BLo 2 , or by selecting some of the bit lines BL 1 , BL 2 , and BL 3 , or by selecting some of the word lines WL 1 , WL 2 , and WL 3 and applying required operational voltages, multiple writing/reading operations of the memory cells including the plurality of the variable resistors R can be performed.
FIG. 4 is a circuit diagram illustrating a non-volatile memory device according to another exemplary embodiment of the present invention. The non-volatile memory device of FIG. 4 is the same as the non-volatile memory device of FIG. 1 with some modified components. Thus, common descriptions in both exemplary embodiments will be omitted.
›DETAILED DESCRIPTION OF EXEMPLARY EMBODIMENTS · 3 of 4
Referring to FIG. 4 , variable resistors R may be coupled to first ends a 1 of first layer selection bit lines BLe 1 and BLe 2 . In this exemplary embodiment, the second layer selection bit lines BLo 1 and BLo 2 of FIG. 1 and the variable resistors R coupled thereto may be omitted. Accordingly, the number of the transistors Ts may be substantially the same as the number of the variable resistors R within one layer. For a method of operating the non-volatile memory device according to the exemplary embodiment, the description with reference to FIGS. 1 and 3 should be referred to.
FIG. 5 is a circuit diagram illustrating a non-volatile memory device according to another exemplary embodiment of the present invention. The non-volatile memory device of FIG. 5 is the same as the non-volatile memory device of FIG. 1 with some modified components. Thus, common descriptions in both exemplary embodiments will be omitted.
Referring to FIG. 5 , variable resistors R may be coupled to first ends a 1 of second layer selection bit lines BLo 1 and BLo 2 . In this exemplary embodiment, the first layer selection bit lines BLe 1 and BLe 2 of FIG. 1 and the variable resistors R coupled thereto may be omitted. Accordingly, the number of the transistors Ts may be substantially the same as the number of the variable resistors R within one layer. For a method of operating the non-volatile memory device according to the exemplary embodiment, the description with reference to FIGS. 1 and 3 should be referred to.
FIG. 6 is a circuit diagram illustrating a non-volatile memory device according to another exemplary embodiment of the present invention. The non-volatile memory device of FIG. 6 is the same as the non-volatile memory device of FIG. 1 with some modified components. Thus common descriptions in both exemplary embodiments will be omitted.
Referring to FIG. 6 , first layer selection bit lines BLe 1 and BLe 2 may include first branch lines e 1 , e 2 , e 3 , and e 4 , and second layer selection bit lines BLo 1 and BLo 2 may include second branch lines o 1 and o 2 . Unlike FIG. 1 , each of the first branch lines e 1 , e 2 , e 3 , and e 4 and each of the second branch lines o 1 and o 2 are not arranged alternately. The number and the arrangement of the first layer selection bit lines BLe 1 and BLe 2 and the second layer selection bit lines BLo 1 and BLo 2 of the present invention should not be limited thereto.
The variable resistors R may be arranged between one of the second branch lines o 1 and o 2 and one of the first branch lines e 1 , e 2 , e 3 , and e 4 , which is the nearest to the one of the second branch lines o 1 and o 2 . Accordingly, no variable resistor R is arranged between two of the first branch lines e 1 , e 2 , e 3 , and e 4 that are most adjacent to each other. The number and the arrangement of the first branch lines e 1 , e 2 , e 3 , and e 4 and the second branch lines o 1 and o 2 of the present invention should not be limited thereto.
The first ends a 1 of the variable resistors R may be coupled to the first branch lines e 1 , e 2 , e 3 , and e 4 or to the second branch lines o 1 and o 2 . The variable resistors R are arranged in a plurality of rows along the extension direction of the first branch lines e 1 , e 2 , e 3 , and e 4 and the second branch lines o 1 and o 2 , and in a plurality of lines in a direction perpendicular to the extension direction of the first branch lines e 1 , e 2 , e 3 , and e 4 and the second branch lines o 1 and o 2 .
A plurality of pairs of the variable resistors R may be arranged between one of the first branch lines e 1 , e 2 , e 3 , and e 4 and one of the second branch lines o 1 and o 2 that is near the one of the first branch lines e 1 , e 2 , e 3 , and e 4 , along the extension direction of the first and second branch lines e 1 , e 2 , e 3 , e 4 , o 1 , and o 2 . The pairs of the variable resistors R may be coupled such that diodes D are interposed between the second ends a 2 of the variable resistors R.
The plurality of the bit lines BL 1 , BL 2 , and BL 3 may be coupled to the second ends a 2 of the variable resistors R. A plurality of selection transistors Ts may be interposed between the bit lines BL 1 , BL 2 , and BL 3 and the variable resistors R, and in detail, between the bit lines BL 1 , BL 2 , and BL 3 and the diodes D. A plurality of word lines WL 1 , WL 2 , WL 3 , and WL 4 may be coupled to the selection transistors Ts so as to switch on and off the selection transistors Ts. For example, the word lines WL 1 , WL 2 , WL 3 , and WL 4 may be arranged to cross the bit lines BL 1 , BL 2 , and BL 3 so as to allow selective access of each of the variable resistors R of each layer.
The bit lines BL 1 , BL 2 , and BL 3 may be arranged to be shared by the variable resistors R that are arranged along the rows. For example, the bit lines BL 1 , BL 2 , and BL 3 may be extended across the first branch lines e 1 , e 2 , e 3 , and e 4 and the second branch lines o 1 and o 2 . The word lines WL 1 , WL 2 , WL 3 , and WL 4 may be coupled to be shared by the selection transistors Ts that are arranged in each column. For example, the word lines WL 1 , WL 2 , WL 3 , and WL 4 may extend parallel to the first branch lines e 1 , e 2 , e 3 , and e 4 and the second branch lines o 1 and o 2 .
Meanwhile, according to another exemplary embodiment, as illustrated in FIG. 4 , the second layer selection bit lines BLo 1 and BLo 2 and the variable resistors R coupled thereto may be omitted in the non-volatile memory device of FIG. 6 . Further more, according to another exemplary embodiment, as illustrated in FIG. 5 , the first layer selection bit lines BLe 1 and BLe 2 and the variable resistors R coupled thereto may be omitted.
FIG. 7 is a circuit diagram illustrating a method of operating the non-volatile memory device of FIG. 6 according to an exemplary embodiment of the present invention.
Referring to FIG. 7 , one of the variable resistors R can be accessed randomly. For example, by selecting one first layer selection bit line BLe 1 , selecting one bit line BL 1 , and one word line WL 3 , a variable resistor R in one selected memory cell D 1 can be accessed. By using this random access, the non-volatile memory device can be used as a storage medium for codes.
›DETAILED DESCRIPTION OF EXEMPLARY EMBODIMENTS · 4 of 4
Writing data to or reading data from the variable resistor R in the memory cell D 1 can be performed by applying corresponding operational voltages to the first layer selection bit line BLe 1 , the bit line BL 1 , and the word line WL 3 after or at the same time as the above selection operations.
The above-described method of writing/reading data by randomly accessing the variable resistor R in the memory cell D 1 may also be applied to other memory cells (not shown).
FIG. 8 is a circuit diagram illustrating a method of operating the non-volatile memory device of FIG. 6 according to another exemplary embodiment of the present invention.
Referring to FIG. 8 , at least two variable resistors R can be accessed at the same time. For example, by selecting one second layer selection bit line BLo 1 , selecting at least two bit lines BL 1 , BL 2 , and BL 3 , and selecting one word line WL 3 , the variable resistors R in selected memory cells D 2 may be accessed at the same time. By using this multiple access, the non-volatile memory device can be used as a large capacity storage medium.
Writing data to or reading data from the variable resistor R in the memory cell D 2 can be performed by applying corresponding operational voltages to the second layer selection bit line BLo 1 , the bit lines BL 1 , BL 2 , and BL 3 and the word line WL 3 after or at the same time as the above selection operations.
The above-described method of writing/reading data by randomly accessing the variable resistor R in the memory cells D 2 may also be applied to other memory cells (not shown).
FIG. 9 is a block diagram illustrating a memory card 500 according to an exemplary embodiment of the present invention.
Referring to FIG. 9 , a controller 510 and a memory 520 can exchange electrical signals. For example, the memory 520 and the controller 510 can exchange data according to a command of the controller 510 . Accordingly, the memory card 500 can store data to the memory 520 or output data from the memory 520 . The memory 520 may have one of the structures of the non-volatile memory device described with reference to FIGS. 1 through 8 .
The memory card 500 may be used as a data storage medium of various mobile appliances. For example, the memory card 500 may include a multi media card (MMC) or a secure digital (SD) card.
FIG. 10 is a block diagram illustrating an electronic system 600 according to an exemplary embodiment of the present invention.
Referring to FIG. 10 , a processor 610 , an input/output device 630 , and a memory 620 may transmit or receive data to and from one another through a bus 640 . The processor 610 may execute a program and control the system 600 . The input/output device 630 may be used in inputting or outputting data of the system 600 . The system 600 may be connected to an external device such as a personal computer or a network and may exchange data with the external device using the input/output device 630 .
The memory 620 may store codes for the operation of the processor 610 and data. For example, the memory 620 may have one of the structures of the non-volatile memory device described with reference to FIGS. 1 through 8 .
For example, the system 600 may constitute various electronic control devices that require the memory 620 . For example, the system 600 may be used for a mobile phone, an MP3 player, a navigation device, a sold state disk (SSD), or household appliances.
While aspects of the present invention have been particularly shown and described with reference to differing embodiments thereof, it should be understood that these exemplary embodiments should be considered in a descriptive sense only and not for purposes of limitation. Descriptions of features or aspects within each exemplary embodiment should typically be considered as available for other similar features or aspects in the remaining exemplary embodiments.
Thus, although a few exemplary embodiments have been shown and described, it would be appreciated by those of ordinary skill in the art that changes may be made in these exemplary embodiments without departing from the principles and spirit of the invention, the scope of which is defined in the claims and their equivalents.
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