The content of the invention
The application proposes a kind of decision method of identical characters string, and this method includes:
Calculate the editing distance of the first character string and the second character string;Based on the editing distance to described
The length of one character string and second character string is adapted to, and based on first character after adaptation
The length computation similarity of string and second character string;
Judge whether first character string is identical with second character string based on the similarity.
Optionally, the editing distance for calculating the first character string and the second character string includes:
Unicode codings are carried out for first character string and second character string;
Calculate the editing distance of first character string and second character string after unicode codings.
Optionally, it is described based on the editing distance to first character string and second character string
Length, which carries out adaptation, to be included:
Calculate first character string and the maximum and minimum value in the length of second character string;
The maximum is subtracted into the editing distance, or the minimum value is added into the editing distance,
It is adapted to the length to first character string and second character string.
Optionally, first character string and second character string after the computational length is adapted to
Similarity include:
The ratio for subtracting the maximum after the editing distance and the minimum value is calculated, based on the ratio
Value characterizes the similarity of first character string and second character string;Or
The maximum and the ratio plus the minimum value after the editing distance are calculated, based on the ratio
Value characterizes the similarity of first character string and second character string.
Optionally, it is described based on the editing distance to first character string and second character string
Length is adapted to, and based on first character string and the length of second character string after adaptation
Calculating similarity includes:
First character string and second character string are calculated based on default calculating formula of similarity
Similarity;
The calculating formula of similarity includes:
Or
Wherein, x represents the first character string, | x | represent the length of the first character string;Y represents the second character string,
| y | represent the length of the second character string;Max (| x |, | y |) represent in the length of the first character string and the second character string
Maximum;Min (| x |, | y |) represent the first character string and the minimum value in the length of the second character string;ds
Represent the editing distance of the first character string and the second character string;C represents corrected parameter, to be more than or waiting
In 0 constant.
Optionally, it is described to judge that first character string is with second character string based on the similarity
It is no it is identical including:
Judge whether the similarity calculated reaches default threshold value;
When the similarity calculated reaches default threshold value, judge first character string with it is described
Second character string is identical;
When the similarity calculated is not up to default threshold value, first character string and institute are judged
The second character string is stated to differ.
The application also proposes a kind of decision maker of identical characters string, and the device includes:
First computing module, the editing distance for calculating the first character string and the second character string;Second meter
Calculate module, for based on the editing distance to first character string and the length of second character string
It is adapted to, and based on first character string and the length computation of second character string after adaptation
Similarity;
Determination module, for judging first character string and second character string based on the similarity
It is whether identical.
Optionally, first computing module specifically for:
Unicode codings are carried out for first character string and second character string;
Calculate the editing distance of first character string and second character string after unicode codings.
Optionally, second computing module specifically for:
Calculate first character string and the maximum and minimum value in the length of second character string;
The maximum is subtracted into the editing distance, or the minimum value is added into the editing distance,
It is adapted to the length to first character string and second character string.
Optionally, second computing module is further used for:
The ratio for subtracting the maximum after the editing distance and the minimum value is calculated, based on the ratio
Value characterizes the similarity of first character string and second character string;Or
The maximum and the ratio plus the minimum value after the editing distance are calculated, based on the ratio
Value characterizes the similarity of first character string and second character string.
Optionally, second computing module is further used for:
First character string and second character string are calculated based on default calculating formula of similarity
Similarity;
The calculating formula of similarity includes:
Or
Wherein, x represents the first character string, | x | represent the length of the first character string;Y represents the second character string,
| y | represent the length of the second character string;Max (| x |, | y |) represent in the length of the first character string and the second character string
Maximum;Min (| x |, | y |) represent the first character string and the minimum value in the length of the second character string;ds
Represent the editing distance of the first character string and the second character string;C represents corrected parameter, to be more than or waiting
In 0 constant.
Optionally, the determination module specifically for:
Judge whether the similarity calculated reaches default threshold value;
When the similarity calculated reaches default threshold value, judge first character string with it is described
Second character string is identical;
When the similarity calculated is not up to default threshold value, first character string and institute are judged
The second character string is stated to differ.
In the application, by calculating the editing distance of the first character string and the second character string, compiled based on described
Collect distance to be adapted to the length of first character string and second character string, and be based on after adaptation
First character string and second character string length computation similarity;It is then based on the phase
Judge whether first character string is identical with second character string like degree.Due to being based in this application
Editing distance is adapted to the length of the first character string and the second character string, therefore can reduce first
The difference in length of character string and the second character string, the first character string and the second word after for length adaptation
When symbol string carries out Similarity Measure, the difference in length of character string can be farthest reduced to similarity meter
The influence of result is calculated, the degree of accuracy of Similarity Measure is lifted, so as to judge the first character based on similarity
When whether string is identical with the second character string, the accuracy of result of determination can be obviously improved.
Embodiment
In the related art, judging two character strings (such as better address) whether as identical character string
When, typically by calculate the two character strings between similarity, then judged by similarity this two
Whether individual character string is identical.
Wherein, in the similarity between calculating two character strings, it can generally be accomplished by the following way:
, can be to needing two character strings for carrying out identical judgement to be divided in a kind of embodiment shown
Word processing, the two character strings is converted to the data of structuring, is then based on the data of structuring to calculate
The similarity of the two character strings;For example, a participle length can be set, to the two character strings according to
The participle length carries out text dividing, obtains some length identical text dividing units, is then based on text
These text switch units that cutting is obtained, are compared to calculate the similarity of the two character strings one by one.
However, in this way, it is necessary to character string progress text dividing, be needed when calculating similarity
The text switch unit that switching is obtained is compared one by one, therefore is realized more complicated.
, can be based between two character strings for needing to be judged in the another embodiment shown
Editing distance, to calculate the similarity of the two character strings, is then based on calculating obtained similarity to judge
Whether the two character strings are same.
Wherein, when calculating similarity based on editing distance, the definition of similarity generally can be by following public
Formula is characterized:
In above-mentioned formula, S represents similarity;Ds represents editing distance (Levenshtein distances);L tables
Show string length.
When calculating the first character string x and the second character string y similarity by above-mentioned formula, above-mentioned L
Value according to actual demand can be min (| x |, | y |), max (| x |, | y |) or | x |+| y | in it is any one
It is individual.
Wherein, in above-mentioned formula, | x | represent the character length of the first character string;| y | represent the second character
The character length of string;Min (| x |, | y |) represent the minimum of character length in the first character string and the second character string
Value;Max (| x |, | y |) represent the maximum of character length in the first character string and the second character string.
However, for the character string as address, judging whether the two character strings express identical
During implication, similarity formula above sometimesTwo character strings and dissmilarity provided,
But actually the two character strings really illustrate identical address.
For example, the better address of the same user collected in different platform, exists on character length
Certain difference (difference be probably due to user inputted in different platform it is lack of standardization caused by).Assuming that
First address is " 17 buildings, Xihu District of Hangzhou City Huanglong Times Square Building B ";Second address is " Hangzhou
17 buildings, Xihu District Huanglong Times Square Building B ant Jin Fu Legal Affairs Depts ".Although the first address and the second address
Character length has differences, but is essentially same address.
First address and two address similarity are being calculated by above-mentioned formula, and based on calculating what is obtained
When whether similarity is to judge the first address and the second address as identical address, it is possible to cause erroneous judgement,
First address and the second address are mistaken for different addresses.
In view of this, the application proposes a kind of decision method of identical characters string, by calculating the first character
String and the editing distance of the second character string, based on the editing distance to first character string and described the
The length of two character strings is adapted to, and based on first character string and second word after adaptation
Accord with the length computation similarity of string;It is then based on the similarity and judges first character string and described the
Whether two character strings are identical.Due to being based on editing distance in this application to the first character string and the second character
The length of string is adapted to, therefore can reduce the difference in length of the first character string and the second character string,
, can be maximum when the first character string after for length adaptation and the second character string carry out Similarity Measure
Influence of the difference in length of the reduction character string of degree to Similarity Measure result, lifting Similarity Measure
The degree of accuracy, can be with so that when judging whether the first character string and the second character string are identical based on similarity
It is obviously improved the accuracy of result of determination.
The application is described below by specific embodiment and with reference to specific application scenarios.
Fig. 1 is refer to, Fig. 1 is a kind of decision method for identical characters string that the embodiment of the application one is provided,
Applied to service end, methods described performs following steps:
Step 101, the editing distance of the first character string and the second character string is calculated;Above-mentioned service end can be with
The cloud platform built including server, server cluster or based on server cluster;For example, with electronics
Exemplified by the application scenarios of commercial affairs, above-mentioned service end can be the cloud platform of ecommerce provider, and the cloud is put down
Platform can assist work address or home address that trade company uploads to user to be reserved in user in platform
True posting address is compared, come determine address that user uploads whether the authentic and valid address of the user,
Fraud is caused so as to avoid user from uploading address dummy information.
Above-mentioned character string can include the better address of user;Wherein, above-mentioned first character string and the second word
It can be the mutually different same better address of length to accord with string.
For example, above-mentioned first character string and the second character string can user reserved in different platforms
Better address, due to the difference in different platforms in pattern of the input, user inputs in different platforms
During same better address, being likely to result in length, there is some difference.
Assuming that in electric business platform, the better address that user reserves in platform is " Xihu District of Hangzhou City is yellow
Imperial 17 buildings ant Jin Fu Legal Affairs Depts in Times Square Building B ", user is supplied to the better address of businessman to be " Hangzhoupro
17 buildings, state city Xihu District Huanglong Times Square Building B ", although the two address sizes have differences, but it is real
It is same address in matter.
Above-mentioned editing distance, can be used for characterizing the minimum that a character string is converted to another character string
Editor's number of times.Wherein, the edit operation to character string can generally include increase, delete, replace
And transposition etc. operation.
When by a character string, by increasing a character string, a character string is deleted, a word is replaced
When the operations such as one character string of symbol string and transposition are converted to another character string, by counting above-mentioned editor
The number of times of operation, it is possible to obtain the editing distance between the two character strings.For example, it is assumed that the first word
Symbol string is ABCD, and the second character string is AFCDE, and the first character string by character A by replacing with word
F is accorded with, and one character E of increase can be just converted to and replacement is performed in the second character string, whole process
And increase edit operation twice, therefore the editing distance of the first character string and the second character string is 2.
In this example, service end is when calculating the editing distance of the first character string and the second character string, can be with
Editor's number of times when the first character string to be changed to the second character string is counted, then by the editor's number of times counted
It is used as the editing distance of the first character string and the second character string.
Wherein, when realizing, above-mentioned editing distance can use general Levenshtein distances, also may be used
To use Damerau-Levenshtein distances.
The usual only statistics increase of general Levenshtein distances, is deleted, time of the edit operation such as replacement
Number, thus service end using general Levenshtein apart from when, can count and pass through the first character string
Increase a character, delete a character and replace an editor when character is converted to the second character string
Editor's number of times, is then set to the editing distance between the first character string and the second character string by number of times.
Damerau-Levenshtein are deleted apart from statistics increase is usually required, replacement and transposition etc.
The number of times of edit operation, thus service end using Damerau-Levenshtein apart from when, can count
By the first character string by increasing a character, delete a character, replace a character and transposition one
Individual character is converted to editor's number of times during the second character string, and editor's number of times then is set into the first character
Editing distance between string and the second character string.
It is pointed out that in actual applications, the first character string is changed the second character by service end statistics
During editor's number of times during string, it can be realized by default execution code or algorithm, in this application
No longer it is described in detail, those skilled in the art, can when technical scheme disclosed in the present application is put into practice
With with reference to the introduction in correlation technique.
In addition, service end is when calculating the editing distance of the first character string and the second character string, due to first
May be comprising Chinese character, letter and the character such as numeral in character string and the second character string, and Chinese character, letter
And the character such as numeral, corresponding byte number may generally be differed when being handled in platform;Than
Such as, a Chinese character occupies two bytes, and letter and number generally takes up a byte;Therefore, in order to
Avoid due in character string each byte occupy byte number difference result of calculation is impacted, service end meter
, can be to the first character string and the second character string when calculating the editing distance of the first character string and the second character string
Unicode codings are carried out, the first character string and the second character string after then being encoded for unicode are carried out
The calculating of editing distance.Because unicode is encoded to unification of the industry for Chinese character, numeral and character
Encoding scheme, it is unified and uniquely encode to Chinese character, numeral and letter setting, so as to pass through this
The mode of kind, can meet across language, cross-platform carry out text conversion, the requirement handled.
Step 102, based on the editing distance to first character string and the length of second character string
Degree is adapted to, and based on first character string and the length gauge of second character string after adaptation
Calculate similarity;
In this example, service end is calculated after the editing distance of the first character string and the second character string, can be with
The length of the first character string and the second character string is adapted to according to the editing distance, to reduce by the first word
The difference in length of symbol string and the second character string, so that follow-up calculating the first character string by the editing distance
During with the similarity of the second character string, influence of the difference in length to result of calculation can be farthest reduced.
In a kind of embodiment shown, service end is based on the editing distance calculated, to the first word
When symbol string and the length of the second character string are adapted to, the first character string and the second character string can be calculated
Maximum and minimum value in length, then service end the maximum can be subtracted the editor that calculates away from
From, or the minimum value is added to the editing distance calculated, to reduce the first character string and the second character
Difference in length between string, so as to reach what is be adapted to the length of the first character string and the second character string
Purpose.
For example, it is assumed that the first character string is ABCD, the second character string is AFCDEG, the first character string
Length be 4, the length of the second character string is 6, the editing distance of the two be 3 (once replace editor,
Increase editor newly twice).Service end when the length to the first character string and the second character string is adapted to,
The length 4 of first character string can be added to editing distance 3, after adaptation terminates, the first character string it is suitable
It is 7 with length, is reduced with the difference in length of the second character string.Or, service end is to the first character string
When being adapted to the length of the second character string, the length 6 of the second character string can be subtracted editing distance
3, after adaptation terminates, the adapted length of the second character string is 3, is reduced with the difference in length of the second character string.
Certainly, in actual applications, service end based on editing distance to the first character string and the second character
When the length of string is adapted to, except by by the maximum in the length of the first character string and the second character string
Value subtracts the editing distance of the two, or by the minimum value in the length of the first character string and the second character string
Beyond the editing distance of the two, it is possibility to have other implementations, in the present embodiment no longer one by one
Enumerate.
In this example, when service end is adapted to the length of the first character string and the length of the second character string
After the completion of, now service end can be based on the first character string and the length of the second character string after the completion of adaptation
Degree calculates similarity.
In a kind of embodiment shown, the length adaptation of the first character string and the second character string is completed
Afterwards, service end can calculate adaptation after the completion of the first character string and the second character string length in most
Ratio between small value and maximum, now the ratio is a numerical value between 0 to 1, therefore
Service end can characterize the first character string and the second character string based on the ratio.
On the one hand, if service end is by the way that the maximum of length in the first character string and the second character string is subtracted
The editing distance of the two is removed, the length to the first character string and the second character string is adapted to, then service
Hold when calculating the two similarity, can calculate and subtract between the maxima and minima after editing distance
Ratio, the similarity of the two is then characterized by the ratio.
On the other hand, if service end is by by the minimum value of length in the first character string and the second character string
Plus the editing distance of the two, the length to the first character string and the second character string is adapted to, then clothes
End be engaged in when calculating the two similarity, can calculate maximum and add editing distance minimum value it
Between ratio, the similarity of the two is then characterized by the ratio.
Based on this, it is assumed that the first character string is x, the second string length is y, the first character string x length
Spend and be | x |, the length of the second character string is | y |, the editing distance of the two is ds.
If service end is by by | x | and | y | in maximum subtract ds, it is right | x | and | y | be adapted to, then
Service end can be calculated similar between the first character string x and the second character string y by equation below 1
Degree:
If service end pass through will | x | and | y | in minimum value add ds, it is right | x | and | y | be adapted to, then
Service end can be calculated similar between the first character string x and the second character string y by equation below 2
Degree:
In above-mentioned two formula, S represents the similarity between the first character string x and the second character string y.
Max (| x |, | y |) represent the first character string and the maximum in the length of the second character string;Min (| x |, | y |) represent
First character string and the minimum value in the length of the second character string.C represents the amendment ginseng introduced in formula
Number, the corrected parameter can be that (i.e. above-mentioned formula can introduce C to a constant more than or equal to 0
Value, can not also introduce C values), can be to above-mentioned by introducing above-mentioned corrected parameter in above formula
The result of calculation of formula is modified.
Wherein, the specific value of above-mentioned corrected parameter can be the work set by user according to actual demand
Journey empirical value, in the disclosure without being particularly limited to;For example, when realizing, above-mentioned corrected parameter can
, can by introducing smoothing parameter in above-mentioned formula to be smoothing parameter that user is obtained based on exponential smoothing
It is modified with the result of calculation to above-mentioned formula, to reduce the error of above-mentioned formula result of calculation.Upper
State in formula, when the first character string x is identical with the second character string y length, i.e., | x |=| y | when, max (| x |, | y |)
Value and min (| x |, | y |) value is identical, now, above-mentioned corrected parameter C value can be 0 (length
It is identical to be modified), above-mentioned formula 1 can then be converted into S=1-ds/min (| x |, | y |) or
S=1-ds/max (| x |, | y |), due in this case, max (| x |, | y |) value and min (| x |, | y |) value phase
Together, the first character string x and the second character string y length can be represented, therefore
Above-mentioned formula 1 can be converted into S=1-ds/L, and wherein L value represents the first character string x and the second word
Symbol string y length.
It can be seen that, the calculating formula of similarity described in above example, in the first character string x and the second word
In the case of symbol string y length identical, meet in the prior art when calculating similarity based on editing distance
For the definition of similarity.
Step 103, judge whether are first character string and second character string based on the similarity
It is identical.
In this example, after service end calculates the similarity between the first character string and the second character string,
The Similarity value that calculating can be obtained is compared with default similarity threshold, to judge that calculating is obtained
Similarity value whether reach the similarity threshold.If calculating obtained Similarity value reaches the similarity
Threshold value, now service end can be determined that the first character string is identical with the second character string.If on the contrary, calculated
When obtained Similarity value is less than the similarity threshold, service end can be determined that the first character string and the second word
Symbol string is different.
It is pointed out that above-mentioned similarity threshold can be set by user according to actual demand;
For example, when realizing, the similarity threshold can be an engineering experience value, engineering staff can be to big
The progress of amount character string manually determines whether identical, then the result manually judged is analyzed, to set
Put above-mentioned similarity threshold;Or can also be using the result manually judged as data analysis sample, by taking
Business end carries out statistical analysis to set above-mentioned similarity threshold.
Below by way of specific example, simultaneously connected applications scene is carried out in detail to the technical scheme in above example
Thin description.
In the present example it is assumed that above-mentioned character string is the better address of user, above-mentioned service end is ecommerce
The cloud platform of provider;Such as Taobao's platform.
It is true in platform that the cloud platform can assist the better address that trade company uploads to user to be reserved in user
Real posting address is compared, come determine address that user uploads whether the authentic and valid address of the user, from
And avoid user from uploading address dummy information and cause fraud.
Assuming that the first address that user is uploaded to trade company is " Xihu District of Hangzhou City Huanglong Times Square Building B 17
Building ";The second address of the user reserved in cloud platform is " Xihu District of Hangzhou City Huanglong Times Square B
17 buildings ant Jin Fu Legal Affairs Depts of seat ".The character length of first address is 17 (by Chinese character, letter and number
Word is as a character), two address character length is 24.
Service end is when being the second address by the first address conversion, by increasing " ant Jin Fu Legal Affairs Depts " newly
Deng 7 Chinese characters just can by the first address conversion be the second address, therefore service end calculate the two
Editing distance is 7.
In existing realization, the first address x and the second address y similarity can by equation below come
Calculate:
In above-mentioned formula, S represents similarity;Ds represents editing distance;L represents string length.Its
In, L value be can be min (| x |, | y |), max (| x |, | y |) or | x |+| y |.
When L value for min (| x |, | y |) when:
When L value for max (| x |, | y |) when:
When L value is | x |+| y | when:
In the present example it is assumed that the default similarity threshold of cloud platform is 0.85, provided based on prior art
The result for the above similarity that calculating formula of similarity is calculated, is respectively less than the similarity threshold.
In this case, cloud platform is judging that the first address and the second address are based on the similarity threshold
It is no be same address when, then the first address and the second address may be mistaken for different addresses.And it is real
The first address and the second address are only the same address that there is the difference in length in matter.
In this example, if cloud platform by the first address and two address editing distance to the first address
It is adapted to two address character length, and based on the length computation Similarity value after adaptation, then
Influence of the difference in length to Similarity Measure result due to character string can will be substantially reduced, so that in base
When whether the Similarity value obtained in calculating judges the first address and the second address as same address, Ke Yiti
Rise the degree of accuracy of result of determination, it is to avoid the situation of erroneous judgement occurs.
On the one hand, it is assumed that cloud platform by the maximum of length in the first address and the second address by subtracting volume
Distance is collected, to be adapted to the first address and two address length, now cloud platform can be by such as
Lower formula calculates the similarity of the two (so that C values are 0 as an example):
On the other hand, it is assumed that cloud platform is by the way that the minimum value of length in the first address and the second address is added
Editing distance, to be adapted to the first address and two address length, now cloud platform can pass through
Equation below calculates the similarity of the two:
It can be seen that, after cloud platform is adapted to the first address and two address length, calculate obtained phase
It is 1 like degree value, the degree of accuracy of similarity is obviously improved.
Now, the Similarity value is more than similarity threshold 0.85, and cloud platform is judged based on similarity threshold
When whether the first address and the second address are same address, the first address and the second address can be determined as
Identical address, so as to avoid erroneous judgement.
In the embodiment above, by calculating the editing distance of the first character string and the second character string, sick base
The length of first character string and second character string is adapted in the editing distance, and base
In first character string and the length computation similarity of second character string after adaptation;Then base
Judge whether first character string is identical with second character string in the similarity.
Due to being carried out in this application based on editing distance to the length of the first character string and the second character string
Adaptation, therefore the difference in length of the first character string and the second character string can be reduced, for length adaptation
When the first character string and the second character string afterwards carries out Similarity Measure, character can be farthest reduced
Influence of the difference in length of string to Similarity Measure result, lifts the degree of accuracy of Similarity Measure, so that
When judging whether the first character string is identical with the second character string based on similarity, judgement knot can be obviously improved
The accuracy of fruit.
Corresponding with above method embodiment, present invention also provides the embodiment of device.
Fig. 2 is referred to, the application proposes a kind of decision maker 20 of identical characters string, applied to service end;
Wherein, Fig. 3 is referred to, as involved by the service end for the decision maker 20 for carrying the identical characters string
Hardware structure in, generally include CPU, internal memory, nonvolatile memory, network interface and inside
Bus etc.;Exemplified by implemented in software, the decision maker 20 of the identical characters string is it is generally understood that add
The computer program in internal memory is loaded in, the logic dress that the software and hardware formed after being run by CPU is combined
Put, described device 20 includes:
First computing module 201, the editing distance for calculating the first character string and the second character string;The
Two computing modules 202, for based on the editing distance to first character string and second character
The length of string is adapted to, and based on first character string after adaptation and second character string
Length computation similarity;
Determination module 203, for judging first character string and second word based on the similarity
Whether symbol string is identical.
In this example, first computing module 201 specifically for:
Unicode codings are carried out for first character string and second character string;
Calculate the editing distance of first character string and second character string after unicode codings.
In this example, second computing module 202 specifically for:
Calculate first character string and the maximum and minimum value in the length of second character string;
The maximum is subtracted into the editing distance, or the minimum value is added into the editing distance,
It is adapted to the length to first character string and second character string.
In this example, second computing module 202 is further used for:
The ratio for subtracting the maximum after the editing distance and the minimum value is calculated, based on the ratio
Value characterizes the similarity of first character string and second character string;Or
The maximum and the ratio plus the minimum value after the editing distance are calculated, based on the ratio
Value characterizes the similarity of first character string and second character string.
In this example, second computing module 202 is further used for:
First character string and second character string are calculated based on default calculating formula of similarity
Similarity;
The calculating formula of similarity includes:
Or
Wherein, x represents the first character string, | x | represent the length of the first character string;Y represents the second character string,
| y | represent the length of the second character string;Max (| x |, | y |) represent in the length of the first character string and the second character string
Maximum;Min (| x |, | y |) represent the first character string and the minimum value in the length of the second character string;ds
Represent the editing distance of the first character string and the second character string;C represents corrected parameter, to be more than or waiting
In 0 constant.
In this example, the determination module 203 specifically for:
Judge whether the similarity calculated reaches default threshold value;
When the similarity calculated reaches default threshold value, judge first character string with it is described
Second character string is identical;
When the similarity calculated is not up to default threshold value, first character string and institute are judged
The second character string is stated to differ.
Those skilled in the art will readily occur to this after considering specification and putting into practice invention disclosed herein
Other embodiments of application.The application is intended to any modification, purposes or the adaptability of the application
Change, these modifications, purposes or adaptations follow the general principle of the application and including this Shen
Please undocumented common knowledge or conventional techniques in the art.Description and embodiments only by
It is considered as exemplary, the true scope of the application and spirit are pointed out by following claim.
It should be appreciated that the application be not limited to be described above and be shown in the drawings it is accurate
Structure, and various modifications and changes can be being carried out without departing from the scope.Scope of the present application is only by institute
Attached claim is limited.
The preferred embodiment of the application is the foregoing is only, it is all at this not to limit the application
Within the spirit and principle of application, any modification, equivalent substitution and improvements done etc. should be included in
Within the scope of the application protection.