I took the KDD-Cup 98 data and just looked at four fields: Age, NumChild, TARGET_D (the amount the recaptured lapsed donors gave) and LASTGIFT. I took only four to make the problem simpler, and chose variables that had relatively large differences in mean values (where normalization might matter). Also, another problem with the two monetary variables is that they are both skewed positively (severely so).
The following image shows the results of two clustering runs: the first with raw data, the second with normalized data using the Clementine K-Means algorithm. The normalization consisted of log transforms (for TARGET_D and LASTGIFT) and z-scores for all (the log transformed fields, AGE and NUMCHILD). I used the default of 5 clusters.
Here are the results in tabular form. Note that I'm reporting unnormalized values for the "normalized" clusters even though the actual clusters were formed by the normalized values. This is purely for comparative purposes.
Note that:
1) the results are different, as measure by counts in each cluster
2) the unnormalized clusters are dominated by TARGET_D and LASTGIFT--one cluster contains the large values and the remaining have little variance.
3) AGE and NUMCHILD have some similar breakouts (40s with more children and 40s with fewer children for example).
So, the conclusion is (to answer the original question) K-Means in Clementine does not normalize the data. Since Euclidean distance is used, the clusters will be influenced strongly by the magnitudes of the variables, especially by outliers. Normalizing removes this bias. However, whether or not one desires this removal of bias depends on what one wants to find: sometimes if one would want a variable to influence the clusters more, one could manipulate the clusters precisely in this way, by increasing the relative magnitude of these fields.
One last issue that I didn't explore here, is the effects of correlated variables (LASTGIFT and TARGET_D to some degree here). It seems to me that correlated variables will artificially bias the clusters toward natural groupings of those variables, though I have never proved the extent of this bias in a controlled way (maybe someone can point to a paper that shows this clearly).
109 comments:
FYI: I left a comment on this topic at the original site with some specifics on implementation of normalization in Clementine.
This is a good point, Dean. I have wondered how much difference it might make to use different normalizations. The standard, of course, is subtract-and-divide to get zero-mean and unit-standard deviation, but some distributions are poorly characterized by these summaries. I have used subtract-and-divide to get zero-median and unit-IQR, but there are plenty of other options.
Highly correlated variables make it difficult to use k-means directly. Essentially what happens is that you have the same sort of scaling problem as you are discussing, but aligned at some angle relative to the original axes. Getting right of that problem requires not just normalizing each axis independently, but using an correlation matrix to realign and scale the axes.
Here is some R code that illustrates this. First take some data that needs normalization like you describe:
u = rnorm(200)
v = c(rnorm(100), 10+rnorm(100))
plot(10*u, v, type='p')
This gives us horizontally elongated clusters that can be handled well using per variable normalization.
But if we take a correlated case:
x = 10*u-v;y = 10*u + v
plot(x, y, type='p')
Then we get elongated clusters at a 45 degree angle. This can be very difficult to deal with using k-means because the correlation in the different clusters can easily be different. To deal with this, it is really better to use a more advanced clustering such as a Gaussian mixture model or spectral clustering. Non-parametric Bayesian approaches to the mixture modeling can be particularly useful since you don't have to commit to a set number of clusters.
Hi friends,
I have written a blog on Data Preprocessing emphasizing its significance through a simple example for Normalization. Please do visit and leave your comments.
http://intelligencemining.blogspot.com/2009/07/data-preprocessing-normalization.html
This is a deeper problem. Most of the time euclidean metric is not the correct. The weighted eclidean metric is the right one. There are some pretty good methods like Kmeans with metric learning.
Also you can find a fast implementation of kmeans here
http://www.analytics1305.com/documentation/algorithm_reference.html
It has weighted metric (although it is still under development). It was much faster than weka/matlab
nvasil: Thanks for the comment and link; I will be looking it up. The biggest problem for me is that I usually use commercial tools, and if they don't have the particular option of weighted Euclidean or Mahalanobis distance, unless I can fake it (for example with Mahalanobis by pre-transforming by the covariance matrix), I'm out of luck. I guess that is an argument for using Matlab, right Will? :)
This is very good article for me.
Lowest price Television
Just posted this reply to a related question about k-means clustering on Data Science Central, and thought it would be a good addition here (http://www.analyticbridge.com/forum/topics/k-means-clustering), where the question was: "How is 'k' determined in k-means clustering (using FASTCLUS)?"
If there is not an operational definition for the number of clusters, yes, you have to figure this out yourself. You can use an algorithm to figure it out, but how do you know the algorithm is trading off the # clusters vs. compactness the way you want?
You have to have some idea of what you want, of course, but usually in my consulting engagements where k was unknown we would do the following.
1) interpret the clusters
there are two ways to interpret clusters. First, we compute the mean values of all the input variables to get the gist of where the clusters are centered. (normalizing the input variables can greatly influence the formation of clusters and these mean values. I have a blog post on this topic here (http://abbottanalytics.blogspot.com/2009/04/why-normalization-matters-with-k-means.html).
the second way is to compute how the clusters differ from one another. You can compute the mean values of every variable in the clusters, but it could be that all the variables except one have the same mean for every cluster--it's just one variable that is really responsible for driving the formation of the clusters. But how do you easily find these differences, especially when you have perhaps dozens of input variables?
You can eyeball it, but that can be tedious and was to get wrong. I prefer to find this algorithmically. How? By using decision trees to predict the cluster label from the same inputs. (after all, the one thing that stood in our way of doing supervised learning in the first place was that we didn't have labels for the data. now that we have clusters, we have record labels!) The tree doesn't have to be perfect, just get the gist of the differences for you to understand the key differences between clusters.
2) overlay the clusters with another measure of interest
If you have another important variable that is important, even if that variable was not included in the cluster analysis, if you compute it's mean value (or IQR) for each cluster, you can get a sense for what the clusters may mean operationally. For example, if you are computing clusters of customers, you can overlay demographics on top of the clusters (age, income, home value, etc.). Or, when I built fraud related clusters where we had so few adjudicated fraud cases that we couldn't build supervised learning models, we can still overlay the fraud label even for the relatively few cases we have to get a sense for which clusters those fraudulent transactions landed in.
So there are huge differences between selecting the number of clusters based on operational concerns vs. numeric concerns. In the latter case, cluster compactness and separation may not be the most important aspects to consider. (though sometimes they may be too!).
apple safari download
Internet Explorer 11 Download
Mozilla firefox 2017 free download
mozilla firefox 2017
AVG antivirus 2017
apple safari download
Avast Antivirus free 2017
Google Chrome Download 2017
Download Google chrome 2017
Avast Antivirus free 2017
Google Chrome Download 2017
Download Google chrome 2017
mozilla firefox 2017 free download
AVG free download 2017
Analogica is one of the best Big Data solutions provider in india, offers speed, reliability and economically viable solutions and Big Data Solutions Provider
.Every project is undertaken by team of highly skilled data scientists.
Amazed to be here and want to read this amazing info. Thanks for this interesting article and i would really want to say thanks for this info.
hifi escorts in Dwarka
Nice post. thanks to share with us.
UAN Login Guide
Ramadan kareem 2017 wallpapers
Ramadan kareem wallpapers
Ramadan mubarak images
eid ul fitr greetings
eid mubarak greetings 2017
eid greetings for 2017
eid mubarak dp
http://www.ramadankareem2017quotes.com
{*JDK *}java jdk download for windows 8 64 bit
eid ul fitr essay for class 1,2,3,4,5,6
Latest Openings In BPO
Flappy Bird APK
uan employee portal
epf balance check
pf balance check
UAN LOGIN
employee uan login
uan employee login
uan login for employees
EPFO UAN LOGIN
uan activation
uan number activation
uan login activation
epf passbook download uan
uan member portal passbook
UAN Passbook
EPF Passbook
Check Your UAN Status
check pf status by uan number
Know your UAN Status
Know your UAN from EPF Number
Check Your EPF Balance
I am very greatly honored to see information on Why normalization matters with K-Means, something that's very new and which i must have been missing a lot. I can boldly say that the work you have done is great and you really deserve commendation. If you feel the need to hire the best Website Content Managing Service, then check the link and you will be provided with the necessary information.
You are so interesting! I don't believe I've truly read through anything like that before.
change the default search engine in Microsoft Edge
critical process died windows 10
Hai,
Check out our now venture called https://supportsocial.in/2017/08/19/top-9-social-media-marketing-tips-for-small-businesses/
Game Guardian is an amazing game hack/alteration tool. Game guardian helps you modify money, HP, Sp and more aspects of the game.
Game Guardian apk
It's surprising you aren't more popular given that you definitely possess the gift.
live stream ipl auction
ipl 11 auction live
I offer discreet companionship support and light at the end of tube to I understand to equal and Awakens by each one of an upscale individual and devote a few position predate together. Barring no one issues in the two ways.
Kindly check out my partner website:-
Mumbai Escorts
Goa Escorts
Jaipur Escorts
Gurgaon Escorts
Jaipur Call girls
Call girls in Goa
Call girls in Mumbai
Nainital Escorts
Goa Call Girls
Very Interesting and wonderfull information keep sharing
spybot search and destroy review 2017
Good post.
Big Data Training Classes in Jaipur
Dubai International Escorts provides several female escorts services in Dubai
Dubai Female Escorts
Femael Escorts in Dubai
Best Escort in Dubai
Dubai high profile escorts
Dubai Call Girls
Dating Escort in Dubai
Dubai Dating Escort
High Class Escort in Dubai
Air hostess Dubai Escort
Dubai Air hostess Escorts
Hi fi Dubai Escort
High Society Escort in Dubai
Escorts services in Dubai
Dubai Escorts Services
Dubai Escorts Agency
Escorts Agency in Dubai
Independent Escorts in Dubai
Housewife Escorts in Dubai
Celebrity Escorts in Dubai
Student Escorts in Dubai
Indian Escorts in Dubai
Call Girls in Dubai
Hot Dubai Escorts
Dubai Hot Escorts
Sexy Escorts in Dubai
Dubai Sexy Escorts
Dubai International Escorts
International Escorts Dubai
Click here for more information at - www.internationalescortsdubai.com
Call and Whatsapp at - +91-9967566114
Call Girls In Gurgaon,Most of the individuals in Escorts Service In Gurgaon, Hotel Service work and spend more time 24Hrs Female Services. gurgaon Escort
Young College Dwarka Call Girls: The famous primitive category of our girls popular among all ages of Men. They are the dedicated young escort who loves to explore new person at peak heights. dwarka escort
Well done! It is so well written and interactive. Keep writing such brilliant piece of work. Glad i came across this post. Last night even i saw similar wonderful R Programming tutorial on youtube so you can check that too for more detailed knowledge on R Programming.https://www.youtube.com/watch?v=gXb9ZKwx29U
What buddies would be you really seeing that you are not going to find in to some other location, so it wasn't simple work to individuals personally, so as to locate them we now have wasted several years at the hunting of these and then we'll discover some intelligent and key associates of the association, which could be your critical portion of our Gurgaon Escorts company? We’re maybe not the sole escort agency at Gurgaon Read More :- Escort In Gurgaon
On our Hyderabad Escorts accessible to book for your diversion now!
Hyderabad Escorts
Dubai Escorts
Dubai Escort
Escorts in Dubai
Indian Escorts in Dubai
Indian Escort in Dubai
HighProfile Escorts in Dubai
Call Girls In Gurgaon,Most of the individuals in Escorts Service In Gurgaon, Hotel Service work and spend more time 24Hrs Female Services. Gurgaon Escorts Service
Your Post or Site Very Good.Thanks For Shairing
Gurgaon Escorts Service
Gurgaon Female Escorts
Gurgaon Call Girls
Gurgaon Escorts
Call Girls In Gurgaon
Pleasant Tips..Thanks for Sharing….We keep up hands on approach at work and in the workplace, keeping our business pragmatic, which recommends we can help you with your tree clearing and pruning in an invaluable and fit way.
python training in omr
python training in annanagar | python training in chennai
python training in marathahalli | python training in btm layout
python training in rajaji nagar | python training in jayanagar
I would like to thank you for your nicely written post, its informative and your writing style encouraged me to read it till end. Thanks
java training in omr
java training in annanagar | java training in chennai
java training in marathahalli | java training in btm layout
java training in rajaji nagar | java training in jayanagar
Thanks for the informative article. This is one of the best resources I have found in quite some time. Nicely written and great info. I really cannot thank you enough for sharing.
rpa training in marathahalli
rpa training in btm
rpa training in kalyan nagar
rpa training in electronic city
rpa training in chennai
rpa training in pune
rpa online training
Your good knowledge and kindness in playing with all the pieces were very useful. I don’t know what I would have done if I had not encountered such a step like this.
Data Science Training in Chennai
Data science training in bangalore
Data science online training
Data science training in pune
Data science training in kalyan nagar
Data Science with Python training in chenni
Nice blog..! I really loved reading through this article. Thanks for sharing such a amazing post with us and keep blogging...
Best Data Science online training in Hyderabad
Data Science training in Hyderabad
Data Science online training in Hyderabad
I think things like this are really interesting. I absolutely love to find unique places like this. It really looks super creepy though!!
Best Machine Learning Training courses | best machine learning institute in chennai | Machine Learning course in chennai
I am so proud of you and your efforts and work make me realize that anything can be done with patience and sincerity. Well, I am here to say that your work has inspired me without a doubt.
python training in rajajinagar
Python training in btm
Python training in usa
Great post! I am actually getting ready to across this information, It’s very helpful for this blog.Also great with all of the valuable information you have Keep up the good work you are doing well.
DevOps online Training
Really great post.I enjoy to reading this article.There is such a true article there is more information for us .thanks for sharing this lovely post.
Call Girls In Uttam Nagar
Call Girls In Janakpuri
Call Girls In Tilak Nagar
Call Girls In Subhash Nagar
Call Girls In Tagore Garden
Call Girls In Rajouri Garden
Call Girls In Ramesh Nagar
Call Girls In Moti Nagar
Call Girls In Shadipur
Call Girls In Patel Nagar
Call Girls In Rajendra Place
Call Girls In Karol Bagh
Call Girls In Rajiv Chowk
Call Girls In Anand Vihar
Call Girls In Vaishali
Call Girls In Dwarka
Call Girls In Paschim Vihar
Call Girls In Punjabi Bagh
Escorts in Delhi
Delhi Escort
Call Girls In Rohini
Call Girls In Kirti Nagar
Call Girls In Laxmi Nagar
Call Girls In Kaushambi
Good Post, I am a big believer in posting comments on sites to let the blog writers know that they ve added something advantageous to the world wide web.
angularjs-Training in tambaram
angularjs-Training in sholinganallur
angularjs-Training in velachery
angularjs Training in bangalore
The blog is so interactive and Informative , you should write more blogs like this Big Data Hadoop Online course
Howdy, would you mind letting me know which web host you’re utilizing? I’ve loaded your blog in 3 completely different web browsers, and I must say this blog loads a lot quicker than most. Can you suggest a good internet hosting provider at a reasonable price?
Amazon Web Services Training in OMR , Chennai | Best AWS Training in OMR,Chennai
Amazon Web Services Training in Tambaram, Chennai|Best AWS Training in Tambaram, Chennai
I am really enjoying reading your well-written articles. It looks like you spend a lot of effort and time on your blog. I have bookmarked it and I am looking forward to reading new articles. Keep up the good work.
Hadoop course in Marathahalli Bangalore
DevOps course in Marathahalli Bangalore
Blockchain course in Marathahalli Bangalore
Python course in Marathahalli Bangalore
Power Bi course in Marathahalli Bangalore
If you're interested in finding an top class Phone Ladies in Jaipur who will really meet your fantasies telephone +919109914991 for finest Escort service in jaipur we're supplying a true time romantic call girl in jaipur encounter which you may never get out of some other escort in jaipur company.
escorts service in jaipur
escorts service in jaipur
call girl in jaipur
Call girl in ajmer
call girl in mount abu
I have gone through the post and I must admit that I like it. Keep doing the great work. I will definitely have to bookmark this page for future reference. I will also refer my friends to come and have the same experience as I did. Thanks so much. Anyone looking for Research papers help check out our Sample Essays and the assignments we have done before
Wonderful post. Thanks for taking time to share this information with us.
ReactJS Training in Chennai
ReactJS Training
ReactJS Training near me
ReactJS course
ReactJS Certification
ReactJS course in Chennai
I like it and help me to development very well. Thank you for this brief explanation and very nice information. Well, got a good knowledge.
industrial course in chennai
Excellent blog!!! I got to know the more useful information by reading your blog. Thanks for posting this blog.
IELTS Course in Mumbai
IELTS Institute in Mumbai
Best IELTS Coaching Classes in Mumbai
IELTS Coaching Center in Mumbai
Best IELTS Classes in Mumbai
IELTS Classes near me
IELTS Courses in Mumbai
It was really an interesting blog, Thank you for providing unknown facts.
Air hostess training in Bangalore
Air hostess academy Bangalore
air hostess training academy
air hostess institute
hi, nice information is given in this blog. Thanks for sharing this type of information, it is so useful for me. nice work keep it up. best digital marketing company in delhi
Powerful Video Content Marketing Ideas for Your Business
tile bonder manufacturer in delhi
Laminated Doors manufacturer in hubli
Thanks for giving great kind of information. So useful and practical for me. Thanks for your excellent blog, nice work keep it up thanks for sharing the knowledge.
led lawn lights in delhi
Thanks for giving great kind of information. So useful and practical for me. Thanks for your excellent blog, nice work keep it up thanks for sharing the knowledge.
Really it was an awesome article… very interesting to read…Thanks for sharing.........
Article submission sites
Education
شركة تنظيف بنجران
شركة تنظيف المنازل بنجران
شركة نظافة عامة بنجران
أفضل شركة تنظيف فلل بنجران
شركة نظافة الأسطح بنجران
شركات النظافة بنجران
شركة نظافة عامة بنجران
أرخص شركة تنظيف شقق بنجران
شركة تنظيف منازل بنجران
شركة تنظيف فلل وقصور بنجران
شركة تنظيف اثاث و مجالس بنجران
شركة تنظيف سجاد و موكيت بنجران
شركة تنظيف خزانات بدبى
شركة تنظيف بالبخار بدبى
شركة عزل خزانات بدبى
شركة تنظيف بدبى
شركة مكافحة حشرات بدبى
شركة تنظيف خزانات بالشارقة
شركة تنظيف كنب بالشارقة
شركة تنظيف في الشارقة
شركة مكافحة الحشرات بالشارقة
شركة عزل اسطح بحائل
Very informative post! Thanks for providing such valuable information. Do share more such articles.
Microsoft Dynamics CRM Training in Chennai
Microsoft Dynamics Training in Chennai
Oracle Training in Chennai
Oracle Training institute in chennai
VMware Training in Chennai
VMware Course in Chennai
Microsoft Dynamics CRM Training in Anna Nagar
Microsoft Dynamics CRM Training in T Nagar
السلامه عليكم ورحمة الله وبركاته نحن فى شركة الكمال نقوم بافضل واقوى المبيدات العالميه الموجودة
التى تقضى على جميع الحشرات الطائره والزاحفة وابادة الحشرات
شركة مكافحة حشرات بالطائف
شركة مكافحة حشرات بجازان
شركة مكافحة حشرات بحائل
شركة مكافحة حشرات بحائل
والسلامة عليكم وحمة الله وبركاته
نقل عفش بابها
شركة نقل عفش بالاحساء
شركة نقل عفش بالامارات
شركة نقل عفش بالجبيل
شركة نقل عفش بالخبر
شركة نقل عفش بالخرج
شركة نقل عفش بالدمام
شركة نقل عفش بالرياض
شركة نقل عفش بالطائف
شركة نقل عفش بالقصيم
شركة نقل عفش بالقطيف
شركة نقل عفش بالقنفدة
شركة نقل عفش بالكويت
شركة نقل عفش بالهفوف
شركة نقل عفش بالظهران
شركة نقل عفش بالمدينة المنورة
شركة نقل عفش ببريدة
شركة نقل عفش بتبوك
شركة نقل عفش بجدة
شركة نقل عفش بجيزان
شركة نقل عفش بحائل
شركة نقل عفش بحفر الباطن
شركة نقل عفش بخميس مشيط
شركة نقل عفش بعنيزة
شركة نقل عفش بمكة
شركة نقل عفش بنجران
شركة نقل عفش بينبع
شركة نقل عفش جدة
نقل عفش بجدة
نقل عفش بجده
نقل عفش في جدة
ارخص شركات نقل العفش بجدة
شركة نقل اثاث بجدة
ارخص شركة نقل عفش بجدة
افضل شركة نقل عفش جدة
رقم نقل عفش بجده
نقل اثاث بجدة
نقل عفش بجده رخيصه
نقل عفش في جده
اسعار شركات نقل العفش بجدة
مظلات
مظلات سيارات
مظلات مسابح
مظلات حدائق
بيوت شعر
شبوك
قرميد
هناجر
سواتر
سواتر حديدية
سواتر الخشب البلاستيكي
سواتر خشبية
مظلات ساكو
مظلات هرمية
مظلات مدارس
افتكار التظليل
شركة تنظيف خزانات بجدة
شركة مكافحة حشرات بجدة
شركة نقل عفش بجدة عمالة فلبينية
شركة تركيب غرف نوم بالرياض
شركة تركيب اثاث ايكيا بالرياض
فك وتركيب غرف نوم بالرياض
شركة تركيب باركيه بالرياض
شركة تركيب طارد حمام بالرياض
شركة مكافحة حمام بالرياض
شركة تركيب ستائر بالرياض
شركة تنظيف مكيفات بالرياض
شركة نقل اثاث من الرياض الي الاردن
شركة عزل اسطح بمكة
شركة تنظيف خزانات بمكة
شركة كشف تسربات المياه بمكة
شركة مكافحة حشرات بمكة
شركة مكافحة الصراصير بمكة
شركة تنظيف بمكة
شركة تنظيف بالبخار بمكة
شركة جلى رخام بمكة
شركة تنظيف مساجد بمكة
شركة مكافحة حشرات الطائف
شركة تنظيف خزانات بالطائف
شركة تنظيف بالبخار بالطائف
شركة تنظيف بالطائف
كشف تسربات المياه بالطائف
كشف تسربات المياه بينبع
كشف تسربات المياه بالمدينة المنورة
كشف تسربات المياه بالقصيم
شركة نقل عفش بالمدينة المنورة
شركة تنظيف بجدة
Great Post Thanks for sharing
Data Science Training in Chennai
DevOps Training in Chennai
Hadoop Big Data Training
Python Training in Chennai
Thank you for excellent article.
Please refer below if you are looking for best project center in coimbatore
final year projects in coimbatore
Spoken English Training in coimbatore
final year projects for CSE in coimbatore
final year projects for IT in coimbatore
final year projects for ECE in coimbatore
final year projects for EEE in coimbatore
final year projects for Mechanical in coimbatore
final year projects for Instrumentation in coimbatore
You are doing a great job, this blog post is awesome.
I want to inform you all that our institute offers various IT courses like:
Web Designing Course in Jaipur
Web Development Training Institute in Jaipur
Graphic Designing Course in Jaipur
We also provide Training and Internship Course in Jaipur.
For more info, you can also visit our PTI Academy.
whatsapp group links 2019
Nice post. Thanks for sharing! I want people to know just how good this information is in your article. It’s interesting content and Great work.
mobile service centre near me
mobile service centre chennai
best mobile service center in chennai
best mobile service center in chennai
The knowledge of technology you have been sharing thorough this post is very much helpful to develop new idea. here by i also want to share this.
Microsoft Azure online training
Selenium online training
Java online training
Java Script online training
Share Point online training
Thank you a lot for providing individuals with a very spectacular possibility to read critical reviews from this site.
angularjs online training
apache spark online training
informatica mdm online training
devops online training
aws online training
Hey Nice Blog!! Thanks For Sharing!!!Wonderful blog & good post.Its really helpful for me, waiting for a more new post. Keep Blogging!
SEO company in coimbatore
SEO Service in Coimbatore
web design company in coimbatore
Hi Guys this is very wonderful site.I am very likely to this site.i have more information from this site thanks for sharing.
Call Girls In Gurugram
Escort Service In Gurgaon
Female Escort In Gurgaon
Escort Girls In Gurgaon
Escort Service In Gurgaon
Escort Service In Neemrana
Escort Service In Rewari
Escort In Bhiwani
Call Girls In Dharuhera
Call Girls In Gorakhpur
I feel happy about and learning more about this topic. keep sharing your information regularly for my future reference. This content creates new hope and inspiration within me. Thanks for sharing an article like this. the information which you have provided is better than another blog.
IELTS Coaching in Dwarka sector 7
lucky patcher apk
gb whatsapp apk
fm whatsapp apk
download fmwhatsapp
fmwhatsapp for pc
fmwhatsapp for mac
Lucky Patcher
Lucky Patcher apk
How To Remove Ads From Any App
Lucky Patcher iOS
Lucky Patcher app
Very nice posts, this could not be written better than this. please suggest some books like this.
Thank you,
Python training in kalyan nagar
Very nice posts. this could not be explained better. Thanks for sharing, Keep up the good work.
devops training in kalyan nagar
SalesForce developer Training in Kalyan Nagar
AWS training in kalyan nagar
Data Analytics Training in Kalyan Nagar
tamilrockers 2018
Bangalore Escorts
Independent Escorts in Bangalore
Escorts Service in Bangalore
Escorts in Bangalore
Call Girls in Bangalore
fresh-escorts
Air Hostess escorts
models-escorts
verified-escorts
Independent escort in Banglore
Banglore Escorts
Banglore Escort
Escorts in Banglore
Call girl in Banglore
Call girls in Banglore
HighProfile Escorts in Banglore
Post a Comment