Thursday, November 19, 2015

MLP Neural Network with Backpropagation [MATLAB Code]

This is an implementation for Multilayer Perceptron (MLP) Feed Forward Fully Connected Neural Network with a Sigmoid activation function. The training is done using the Backpropagation algorithm with options for Resilient Gradient Descent, Momentum Backpropagation, and Learning Rate Decrease. The training stops when the Mean Square Error (MSE) reaches zero or a predefined maximum number of epochs is reached.

Four example data for training and testing are included with the project. They are generated by SharkTime Sharky Neural Network.

1- Download Code
http://www.mathworks.com/matlabcentral/fileexchange/54076-mlp-neural-network-with-backpropagation

2- Network architecture & Training Parameters:
The code configuration parameters are as follows:

1- Numbers of hidden layers and neurons per hidden layer. It’s represented by the variable nbrOfNeuronsInEachHiddenLayer. To have a neural network with 3 hidden layers with number of neurons 4, 10, and 5 respectively; that variable is set to [4 10 5].
2- Number of output layer nits. Usually the number of output units is equal to the number of classes, but it still can be less (≤ log2(nbrOfClasses)). It’s represented by the variable nbrOfOutUnits. The number of input layer units is obtained from the training samples dimension.
3- The selection if the sigmoid activation function is unipolar or polar. It’s represented by the variable unipolarBipolarSelector.
4- The learning rate η.
5- The maximum number of epochs at which the training stops unless MSE reaches zero. It’s represented by the variable nbrOfEpochs_max.
6- Option to enable or disable Momentum Backpropagation. It’s represented by the variable enable_learningRate_momentum.
7- The Momentum Backpropagation rate α. It’s represented by the variable momentum_alpha.
8- Option to enable or disable Resilient Gradient Descent. It’s represented by the variable enable_resilient_gradient_descent.
9- The Resilient Gradient Descent parametersη+η-Δmin, Δmax, represented by the variables learningRate_plus, learningRate_negative, deltas_min, and deltas_max.
10- Option to enable or disable Learning Rate Decrease. It’s represented by the variable enable_decrease_learningRate.
11- The Learning Rate Decrease parameters: and . It’s represented by the variables learningRate_decreaseValue and min_learningRate.

The code also contains a parameter for drawing the decision boundary separating the classes and the MSE curve. The number of epochs after which a figure is drawn and saved on the machine is specified. The figures are saved in a folder named Results besides the m files. This parameter is represented by the variable draw_each_nbrOfEpochs. The variable dataFileName takes the Sharky input points file name as string.

3- Results:
In all of the following four test cases, MCCR=1. The stop condition is that MSE reaches zero in all the cases. A unipolar sigmoid function is chosen.

A) Linear Points Case:
Figure 1. Network: 2-4-2 , Unipolar Sigmoid Activation, No Options, η=0.15.

B) Circle Points Case:

Figure2. Network: 2-10-2 , Unipolar Sigmoid Activation, Resilient Gradient Descent, η+=1.2, η-=0.5, Δmin=10^-6, Δmax=50.

C) Wave Points Case:
Figure 3. Network: 2-10-10-2 , Unipolar Sigmoid Activation, Resilient Gradient Descent, η+=1.2, η-=0.5, Δmin=10^-6, Δmax=50.

D) Spiral Points Case:

Figure 4. Network: 2-10-10-2 , Unipolar Sigmoid Activation, Resilient Gradient Descent, η+=1.2, η-=0.5, Δmin=10^-6, Δmax=50.

The following image shows a magnification for the decision boundary with better resolution.
Figure 5. Magnified decision boundary with better resolution for Spiral points case. 

The following video shows the solving of the Two Spirals problem.

Video 1. Solving the Two Spirals Problem.

269 comments:

1 – 200 of 269   Newer›   Newest»
Unknown said...

There is something wrong for the original code. It should be added with " if i~= length(Weights)-1", for there is no redundant bias in the last weight matrix.


for i = 1:length(Weights)-1
Weights{i} = 2*rand(nbrOfNodesPerLayer(i), nbrOfNodesPerLayer(i+1))-1; %RowIndex: From Node Number, ColumnIndex: To Node Number
if i~= length(Weights)-1
Weights{i}(:,1) = 0; %Bias nodes weights with previous layer (Redundant step)
end
Delta_Weights{i} = zeros(nbrOfNodesPerLayer(i), nbrOfNodesPerLayer(i+1));
ResilientDeltas{i} = deltas_start*ones(nbrOfNodesPerLayer(i), nbrOfNodesPerLayer(i+1));
end

Hesham Eraqi said...

Hello 王健,

Many Thanks. Yes, you are right. This is a mistake.
It will always force the weights connected to the first neuron in the output layer to be zero, instead of starting from random values.

As I say in code comments, this line of code is only for convenience ("Redundant") and can be removed. However, once it's there, it should be protected with an if condition like you've did.

I have corrected the code on MathWorks File Exchange.
Thanks again,
Hesham

AbdelMonaem AbdAllah said...

Dear Hesham,

How are you ? I wish you are fine.

I'm AbdelMonaem AbdAllah, doing my PhD in UNSW @ Canberra, Australia. I'm still new in NN, so I'm wondering whether your NN can train a function, for example, squares of number of variables or it works on binary values only ?

Please, could you contact me on my e-mail, abdo_system@yahoo.com.


Thanks,
Abdo

Hesham Eraqi said...

Dear AbdelMonaem,

I'm fine, thank you. I wish you best of success with your PhD.

Simply, a neural network is a black box that understands/models the relation between some patterns (feature vectors) and their corresponding labels (classes). The understanding phase is called "training". A trained neural network is used later on to estimate the class (label) of a test pattern, this is called the "testing" or "deployment" phase.

I understand you are asking about the input vector dimensionality. My implementation is generic; it detects and works with the given input dimension whatever its length. The input vectors should be stored row by row in the "Samples" variable, and their corresponding class labels in "TargetClasses". A feature can take any number. If you need more than two output classes, you need to uncomment line 59 and implement the "To-Do" I mention in line 68. Please let me know if you have any difficulties doing it.

Best Regards, Hesham

Unknown said...
This comment has been removed by the author.
Unknown said...

Thank you Hesham for your quick reply. I'm doing PhD in optimization.

Actually, I'm wondering if you have any document that would help me in understanding the parameters that you used in your code, and how they would affect the performance of your NN.

Also, after training, how can I test a new record to be belongs to which class ?

Thanks,
AbdelMonaem

Hesham Eraqi said...

Hello AbdelMonaem,

I'm afraid that I don't have a specific reference in mind to recommend for you. Nevertheless, the parameters of the network, resilient Gradient Descent, decreasing learning rate, momentum, and epochs are widely discussed online. Have a look, and let me know if you have any specific questions.

I wish you best of luck.

Anonymous said...

hi,,can u help me?im doing my final project on classifying TB on color features by using multilayered perceptron..n im getting confused on extracting the input and output value from an image

Hesham Eraqi said...

Hi Siti,

I wish you all the best with your final project.
I didn't get what you mean.
Inputs to MLP is your feature and output is the classification result. You should have an output neuron per class, and decide the predicted class by checking the neuron with highest activation value.

Unknown said...

Dear Hesham,

Lovely Stuff mate. Love what you have done!
Im trying to create my own code and was looking at how others have attempted it to get a general idea of how to start coding.

Just a quick question and it may seem a silly one....
but what is the difference between activation_func and activation_func_drev?
As in what does the drev stand for. I understand the function itself is different but what is the reasoning behind that?

Thank you very much

Hesham Eraqi said...

Dear Michael,

Thank you so much for the motivation :)
Very soon, I will post more interesting similar articles about different areas of machine learning.

"Drev" stands for "Derivative", that function returns the value of the derivative (gradient) of the activation function at a query point.

Best Wishes, Hesham

Unknown said...

Hey , Great work.

I am a newbie in ANN and its coding.. But from whatever i have read, this seems to be prefect generic code for "ANY" MLP feedforward network with backpropagation training algorithm. Right?


And if so then, I have generated 1570*7 excel table for my project by Matlab code. Now i want to create a network that takes 5 columns (First five natural frequencies of the structure) as input and takes remaining 2 columns (Size and location of defect) as target.

So my query is, while you have used some other input data format, and I have excel table. So how can i incorporate reading those data format instead of .points data file?

Hesham Eraqi said...

Hello Narendra,

Yes, it is a generic implementation for MLP feedforward network.

Concerning parsing the Excel data in MATLAB, there are many tutorials online for that.

In line 52, the variable 'Samples' should contain the training data, a row for each data sample. In your case it should be a matrix of 1570 rows X 5 columns.

Because, you don't have classes here; i.e. you don't have a single output neuron that should fire for each different class. You should comment the 'for' loop in line 70. And after it, fill the matrix 'TargetOutput' such that each row is the desired output for each data sample. In your case it should be a matrix of 1570 rows X 2 columns.

Also, for the above reason, your training stop criteria is different. So, comment lines 184:195 and line 198, and another code that can estimate how much the neural network is good (calculate 'MSE(Epoch)' using the 'outputs' results for each sample). 'MSE(Epoch)' should be the number of mistakenly classified samples from the neural network divided by the total number of data samples.

It you don't get any of what I mean. I'm happy to get your data and upgrade my code accordingly for you.

Best wishes, Hesham

70R50 said...
This comment has been removed by the author.
70R50 said...

Hello Hesham Eraqi,

First of all, thank you for sharing your work with us.
I'm adapting your source code for digit recognition assignment.

1. And having a problem when evaluating data, how do I calculate MSE and stop the training?
- I have 10 output neuron each for specific digit. (say 0-9)
- on %%Evaluation part outputs variable is 1by10 matrix, value 1 for corresponding digit, 0 for others. (say 5=[0 0 0 0 0 1 0 0 0 0])
- Samples is a 8000by16 matrix, 16 columns are 8 x,y coordinate pairs.( say first row [0.47 1 ... 0.98])
- TargetClasses is 8000by1 matrix, each row represents a correct digit. (say first row [5])
2. Also, assignment requirement is to use logsig activation function, should I replace Activation_func_drev with Activation_func?

Please share your idea and thoughts with me, thank you!

Hesham Eraqi said...

Hello 70R50,

1- Let's speak in terms of code, after getting 'outputs', you need to modify the next if conditions like follows:
if (isequal(outputs,[1 0 0 0 0 0 0 0 0 0]))
ActualClasses(Sample) = 0;
else if (isequal(outputs,[0 1 0 0 0 0 0 0 0 0]))
ActualClasses(Sample) = 1;
....
else if (isequal(outputs,[0 0 0 0 0 0 0 0 1 0]))
ActualClasses(Sample) = 8;
....

2- No, you should modify the function in Activation_func.m to be 'logsig' activation. Plus, modifying the function in Activation_func_drev.m to be the derivative of the 'logsig' activation. Which you should figure out for your assignment :-)

Best wishes, Hesham

Hesham Eraqi said...

@70R50: I've forgot to mention that the MSE calculation should change accordingly:
MSE(Epoch) = sum(find(ActualClasses==TargetClasses))/(length(Samples(:,1)));

Unknown said...

Hello Sir,
I am doing my final assignment on Yield forecasting using ANN. First of all, I am a newbie to NN, my background is Agriculture. I wanna ask you about my code either it is true or not.


%% load divided input data set
load annflo.mat

%% define training inputs
trainInp = [trainflo];

%% define targets
T = [targetflo];

net = newff(trainInp,T,[],{},'trainlm');
net = init(net);
net.trainParam.epochs = 1000;
net.trainParam.goal = 0.01;
net.divideParam.trainRatio = 1;
net.divideParam.valRatio = 0;
net.divideParam.testRatio = 0;

net.trainParam.max_fail = 2;
net = train(net,trainInp,T,[],[]);


%%prediction%%
Y = sim(net,trainInp);

I was using Levenberg-Marquardt as the training algorithm, but then I realized that It was supposed to be Back-propagation as the training algorithm and I had no idea how to change the code. Would you like to help me, Sir?
Thank you :)

Unknown said...

Helllo..
I am new to NN.Can the following code be used for time series prediction?
What modification do i have to do?

ChathuraW said...

Hi Hesham,

I'm trying to adapt your code for 4 inputs and 2 output neurons(no classes). I read your comment given to Narendra. I'm struggling with the evaluation part of the code. Can you please help me out.

Thank you :)

Really Nice work Hesham. Good luck with all your work.

Best Regards

Chathura

Hesham Eraqi said...

@freakme whatsoever:
Hello,
You are using MATLAB Neural Network Toolbox. Sorry, I don't have it. But there is a nice example for you here: http://www.mathworks.com/help/nnet/examples/wine-classification.html

Good luck, and I'm here for any questions if you use my code.

Hesham Eraqi said...

@mahum pervez:
Yes NN can solve the series prediction problem. I've uploaded an image for you that summarizes the idea: https://s8.postimg.org/mqn8q82fp/image.png
Good Luck.

Hesham Eraqi said...

@Chathura: Hi, Thanks for your nice words. Sorry for late replay.
You can simply replace the evaluation code from line 184 to line 195 with this line of code:

[~,ActualClasses(Sample)] = max(outputs) - 1;

Good Luck :)

Unknown said...

Dear Hesam
First of all I want to thank for this awesome and clean MLP implementation
I have a question about my case which doesn't work very well I have 400 samples with 20 features which divided to 3 classes. I almost done all of your advises for changing code base on other questions and comments but in my case code works till 99 epochs and after that this errors comes out!could you please help me?

thanks

Error using *
Inner matrix dimensions must agree.

Error in EvaluateNetwork (line 7)
NodesActivations{Layer} = NodesActivations{Layer-1}*Weights{Layer-1};

Error in MLP_NN (line 228)
outputs = EvaluateNetwork([1 x y], NodesActivations, Weights, unipolarBipolarSelector);

Hesham Eraqi said...

Thank you Milad for your nice words, glad it's useful.

You are right, this is because my visualization code only supports problems with 2 features only. But in your case, it's 20.
You have to options to proceed:
- Comment the visualization code section, or set the variable draw_each_nbrOfEpochs to a large number like 10^9, so that visualization won't occur.
- Try to do PCA on your features to reduce them to 2 features, this will make training much faster and visualization feasible. You may even end up with better classification performance (depending on the variance in your features).

Eve said...

Hi Hesham,

I have a classification problem which is to classify the music genres for more than 50,000 songs. Here, I have 10 genres. I've been studying your code for several days and I also read your comment about the multiply outputs problem. But I still cannot figure out how to construct the outputs. The actual labels for the 10 genres are [1,2,...,10]. And I construct a matrix for all the samples with their corresponding labels:
[1 0 0 0 0 0 0 0 0 0;
1 0 0 0 0 0 0 0 0 0;
0 1 0 0 0 0 0 0 0 0;
...
0 0 0 0 0 0 0 0 0 1];

Here [1 0 0 0 0 0 0 0 0 0] means the label for the sample point is 1 and [0 0 0 0 0 0 0 0 0 1] means the label for this sample point is 10, etc.

The followings are your code:
-------------------------------------------------------------------------
%% Read Data
importedData = importdata(dataFileName, '\t', 6);
Samples = importedData.data(:, 1:length(importedData.data(1,:))-1);
TargetClasses = importedData.data(:, length(importedData.data(1,:)));
TargetClasses = TargetClasses - min(TargetClasses);
ActualClasses = -1*ones(size(TargetClasses));
------------------------------------------------------------------------

Problem 1: Do I still needs the above code to construct the TargetClasses and the ActualClasses?
Problem 2: What are the TargetClasses and the ActualClasses in my case?

Thank you!
Eve

Hesham Eraqi said...

Hi Eve,

Problem 1: No you won't need that code. Replace it by other code that fills the variables 'Samples', 'TaggetClasses', and 'ActualClasses'.
Please note that the variable 'Samples' should contain your training data, a row for each data sample.

Problem 2: 'TaggetClasses' is the labels matrix you have constructed as you describe above.
'ActualClasses' at that moment is a variable of the same size as 'TaggetClasses'. It is just for allocation, so you can put zeros or any numbers for now. Later on in the "Evaluation" code section, it should be filled with the neural network output for all the samples. You should modify that section as I described in a previous comment.

If it still have problems, I will be happy to upgrade my code if you send me sample of your data via email maybe: hesham.eraqi@gmail.com

Good luck.

Kris said...

Dear Hesham Eraqi,

can I use your code as classifier ?

As I understand the data there are:
Samples - training data,
TargetClassess - labels for training data (classess).

Where (which variable) can I store the testing data ?
And, how to read a final (predicted) labels of such data ?

regards,
Kris

Unknown said...

Hi! Congratulations for your code. I'm using it to approximate a function. It's more or less like this: I have five inputs and one output that is the price of a commodity. And I want the Neural Network to learn these prices and give me prices on new five inputs that it hasn't been taught. So I think it is only one output. Ok ? If I just reduce the number of output in your code to one, will it work to approximate the function ?
And another doubt, why do you subtract from the Target Classes its minimum ?
Thank you very much!

Unknown said...

Just to let you know what changes I have made to your code in order to get the nn to calculate an output only (value of a function). I started by changing the number of outputs to one, and importing my data. My data have six input variables and one output. As my target output is a price, I normalized it to be between 0 and 1 with the min max normalization. So my targetclasses are just my prices normalized. Besides, the targetoutputs now, as I guess, must be the same as the targetclasses, because there are no classes at all. So it must be the value of the output itself, that is what I want my nn to evaluate given the inputs. As for the evaluation, I just commented all the stuff that has to do with the actualclasses and inserted in ActuallClasses(sample) = output. After that I commented the visualization part that has not to do with the error. It won't work with this changes becaue the evaluation is evaluating the same value for all my training set. What have I forgot doing ?

Unknown said...

Hi der..I need matlab code for ( training back propagation algorithm ) for wind forecasting....plz rpy to diz mail dhivyagovindasamy27@gmail.com

PRANA said...

Dear Hesham Eraqi

sir,
i'm doing finial year research in university. i'm doing "landslide susceptibility analysis" using ANN back-propagation method, problem is i have 10 input data(images,numerically ) for 1 landslide like wise i have 8 land slide data. Now i wanted create network for finding land slide susceptible.
Can you provided ideas with code.(i'm try to do this with the mathlab)

syafiq said...

Hello Hesham Eraqi,

Good work from you. However, I found that the code only for training. How do you test your data? And if by getting MSE close to 0, how you ensure that your model is not overfitting?

thanks
Syafiq

Aptron said...

Matlab is the best technology at Learning New things. Appreciable blog on Matlab Course

Unknown said...

Usually I never comment on blogs but your article is so convincing that I never stop myself to say something about it. You’re doing a great job Man,Keep it up.
Matlab Training in Noida

Mahesh said...

Really very informative and creative contents. This concept is a good way to enhance the knowledge.
thanks for sharing. please keep it up.

MATLAB training in gurgaon

Unknown said...

Thank you for the clear explanation. Keep post it.

Matlab Course in Chennai
Matlab Training in Chennai

Hesham Eraqi said...

Christian Sanchez commented on your file MLP Neural Network with Backpropagation :
Hi ,
I am trying to understand backpropagation, and your code is being really helpful, thanks.

I have got a question: your input to the derivative of the sigmoid is "NodesActivations", which has previously gone through the sigmoid function. I do not understand this, shouldnt it be input to the derivative of the sigmoid the input to the activation function? Obviously no, because your code works, but could you help me please to understand this ?
Input to activation function: s
Output from activation function: z=f(s )
Derivative: d/dw z=d/dw f(s) = f(s)(1-f(s))

while in the code it looks like f(z)(1-f(z)) is calculated, because you do :
Line 111-->NodesActivations{Layer} = Activation_func(NodesActivations{Layer}, unipolarBipolarSelector );
and
Line 121-->gradient = Activation_func_drev(NodesActivations{Layer+1}, unipolarBipolarSelector);

-------------------------

@Christian Sanchez:
You are absolutely correct; to get the derivative of a function you need the input to it (not the output) to substitute with. But if that function is a Sigmoid (which is our case) you can use a beautiful feature that allows calculating the derivative using the output. I've provided the proof in this post: http://heraqi.blogspot.com/2018/07/sigmoid-derivative.html

ravinna said...

Nice blog and good information.


Matlab Training in Chennai | Matlab Training Institute in Chennai

radha said...

Nice post.Keep updating Artificial intelligence Online Trining

Revathy A said...

Thanks you for sharing this unique useful information content with us. Really awesome work. keep on blogging
angularjs Training in bangalore

angularjs Training in bangalore

angularjs online Training

angularjs Training in marathahalli

angularjs interview questions and answers

simbu said...

Thanks you for sharing this unique useful information content with us. Really awesome work. keep on blogging

Java interview questions and answers

Java training in Chennai | Java training institute in Chennai | Java course in Chennai

gowsalya said...

I found this informative and interesting blog so i think so its very useful and knowledge able.I would like to thank you for the efforts you have made in writing this article.
python training in rajajinagar
Python training in bangalore
Python training in usa

kevin antony said...

This is most informative and also this post most user friendly and super navigation to all posts... Thank you so much for giving this information to me.

rpa training in chennai
rpa training in bangalore
rpa course in bangalore
best rpa training in bangalore
rpa online training

gowsalya said...

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.
Best Devops Training in pune
excel advanced excel training in bangalore
Devops Training in Chennai

Xplore IT Corp said...

Hey Nice Blog!! Thanks For Sharing!!!Wonderful blog & good post.Its really helpful for me, waiting for a more new post. Keep Blogging!
embedded course in coimbatore
IT security training in coimbatore

shivkumar said...

Nice Blog, very informative.
Cloud Computing Training in Noida

Praylin S said...

Great post! This is really worth reading. Keep sharing more such posts.

Embedded System Course Chennai
Embedded Training in Chennai
Oracle Training in Chennai
Oracle Training institute in chennai
Tally Course in Chennai
Tally Classes in Chennai
Embedded Training in Porur
Embedded Training in Adyar

digitalsamyak said...

MATLAB has advanced over a time of years with contribution from numerous clients. In college conditions, it is the standard instructional device for early on and propelled courses in arithmetic, designing, and science. In industry, MATLAB is the instrument of decision for high-efficiency research, improvement, and examination.

https://samyakinfotech.com/training/electrical-electronics/matlab-training-course/

manisha said...

Its a wonderful post and very helpful, thanks for all this information. You are including better information.
Matlab Training in Noida

Matlab Training institute in Noida


creative web solution said...

Are you looking for a maid for your home to care your baby,patient care taker, cook service or a japa maid for your pregnent wife we are allso providing maid to take care of your old parents.we are the best and cheapest service provider in delhi for more info visit our site and get all info.

maid service provider in South Delhi
maid service provider in Dwarka
maid service provider in Gurgaon
maid service provider in Paschim Vihar
cook service provider in Paschim Vihar
cook service provider in Dwarka
cook service provider in south Delhi
baby care service provider in Delhi NCR
baby care service provider in Gurgaon
baby care service provider in Dwarka
baby service provider in south Delhi
servant service provider in Delhi NCR
servant service provider in Paschim Vihar
servant Service provider in South Delhi
japa maid service in Paschim Vihar
japa maid service in Delhi NCR
japa maid service in Dwarka
japa maid service in south Delhi
patient care service in Paschim Vihar
patient care service in Delhi NCR
patient care service in Dwarka
Patient care service in south Delhi

Ranikamala said...


Very good post.
All the ways that you suggested to find a new post was very good.
Keep doing posting and thanks for sharing.11:38 AM 9/10/2018
Get MATLAB Projects, MATLAB Assignment help, MATLAB homework help, MATLAB Project Help, MATLAB Solutions from real-time experts and trainers. Access instant MATLAB training in Hyderabad and get MATLAB projects and solutions
Matlab Training in hyderabad

Aditi Digital Solutions said...

nice information on data science has given thank you very much.
Data Science Training in Hyderabad

LifeVoxel.AI said...

LifeVoxel.AI has developed a Interactive Streaming and AI Platform for medical imaging using GPU clusters cloud computing. It is a leap in cloud technology platform in medical imaging that encompasses use cases in visualization, AI, image management and workflow. It’s approach is unique that it has been granted 12 International patents. LifeVoxel.AI’s platform is certified for HIPAA compliancy. The platform was granted an FDA 510K approval for use in diagnostic interpretation of medical images.

Interactive Streaming AI Platform RIS PACS

educational blogs said...

Please continue this great work and I look forward to more of your awesome posts.

Data Science in-house Corporate training in Nigeria

Anonymous said...

nice blog
training and placement

institute in Bhopal -:VSIPL


best digital marketing

and web devleopment company in Bhopal -: seo network point

goms said...

Thanks for sharing the good post.
Machine Learning training in Pallikranai Chennai
Machine Learning training in Medavakkam Chennai"
Pytorch training in Pallikaranai chennai
Data science training in Medavakkam Chennai"

janathan said...

very useful comment..
foreach loop in node js
ywy cable
javascript integer max value
adder and subtractor using op amp
"c program to find frequency of a word in a string"
on selling an article for rs 1020, a merchant loses 15%. for how much price should he sell the article to gain 12% on it ?
paramatrix interview questions
why you consider yourself suitable for the position applied for

Vijaykumar said...

very usefull comment...
Inplant Training in Chennai
Iot Internship
Internship in Chennai for CSE
Internship in Chennai
Python Internship in Chennai
Implant Training in Chennai
Android Training in Chennai
R Programming Training in Chennai
Python Internship
Internship in chennai for EEE

saishree said...

awesome blog.
Industrial training for electronics and communication engineering students
Summer internship for ece students
Internship in bangalore for computer science students
Internships in bangalore for cse students 2019
Internship
Internship in kerala
Internship in chennai for eee with stipend
Internship in chandigarh for cse
Ethical hacking internship in chennai
Architecture firms in chennai for internship

saishree said...

great.
Acceptance is to offer what a

lighted

A reduction of 20 in the price of salt
Power bi resumes
Qdxm:sfyn::uioz:?
If 10^0.3010 = 2, then find the value of log0.125 (125) ?
A dishonest dealer professes to sell his goods at cost price

but still gets 20% profit by using a false weight. what weight does he substitute for a kilogram?

Oops concepts in c# pdf
Resume for bca freshers
Attempt by security transparent method

'webmatrix.webdata.preapplicationstartcode.start()' to access security critical method 'system.web.webpages.razor.webpagerazorhost.addglobalimport(system.string)' failed.

Node js foreach loop

hema said...

Good..

how to hack with crosh
javascript integer max
apply css to iframe content
given signs signify something and on that basis assume the given statement to be true
zeus learning aptitude paper for software testing
how to hack wifi hotspot on android
she most of her time tomusic
unexpected token o in json at position 1
ywy
javascript sort array of objects by key value

sanashree said...

nice blog.
Internship for mba
Internships in chennai for cse students
Robotics training
Ccna certification in chennai
Industrial training for diploma ece students in hyderabad
Internship certificate for bba student
Internships in bangalore for ece
Internship
Inplant training report
Internship in coimbatore for eee

sanashree said...

great blog.
Complaint letter to bank for deduction
Cisco aci interview questions
Type 2 coordination chart l&t
Mccb selection formula
Given signs signify something and on that basis assume the given statement
Adder and subtractor using op amp theory
Power bi resume for 3 years experience
Power bi resume for experience
Php developer resume for 2 year experience
Ayfy cable



LifeVoxel.AI said...

Towards a single natural solution for global illumination:
- GPUs 15 TFLOPS with improved branching
- Denoising using AI for real-time path-tracing
- Optimized early ray termination
- Voxel representation of geometry
- Auto Reflections
- Auto Shadows
- Auto Ambient Occlusions

Realism is what drives GPU advancement.

Imagine GPUs use outside of cinematic and gaming use cases.

LifeVoxel.AI has built a visualization and AI platform using GPUs in the cloud used in diagnostic-quality views for mission-critical care just using a web browser. This patented innovation is recognized by Frost and Sullivan, NSF and NIH (13 patents).

RIS PACS
RIS PACS software

Training for IT and Software Courses said...

Your articles really impressed for me,because of all information so nice.sap tm training in bangalore

Training for IT and Software Courses said...

Linking is very useful thing.you have really helped lots of people who visit blog and provide them use full information.sap simple logistics training in bangalore

Training for IT and Software Courses said...

Being new to the blogging world I feel like there is still so much to learn. Your tips helped to clarify a few things for me as well as giving.sap wm training in bangalore

Training for IT and Software Courses said...

Really it was an awesome article,very interesting to read.You have provided an nice article,Thanks for sharing.sap ewm training in bangalore

Training for IT and Software Courses said...

This is really an awesome post, thanks for it. Keep adding more information to this.sap mm training in bangalore

Realtime Experts said...

Thanks for one marvelous posting! I enjoyed reading it; you are a great author. I will make sure to bookmark your blog and may come back someday. I want to encourage that you continue your great posts.hadoop training institutes in bangalore

datasciencecourse said...

data science course bangalore is the best data science course

Bangalore Training Academy said...

Thank you so much for the great and very beneficial stuff that you have shared with the world.

Bangalore Training Academy located in Bangalore, is one of the best Workday Training institute with 100% Placement support. Workday Training in Bangalore provided by Workday Certified Experts and real-time Working Professionals with handful years of experience in real time Workday Projects.

Softgen Infotech said...

Very interesting, good job and thanks for sharing such a good blog.

Became An Expert In Selenium ! Learn from experienced Trainers and get the knowledge to crack a coding interview, @Softgen Infotech Located in BTM Layout.

vijay said...

Excellent information with unique content and it is very useful to know about the information.
aws Training in Bangalore
python Training in Bangalore
hadoop Training in Bangalore
angular js Training in Bangalore
bigdata analytics Training in Bangalore
python Training in Bangalore
aws Training in Bangalore

ravali said...

After reading your article I was amazed. I know that you explain it very well. And I hope that other readers will also experience how I feel after reading your article.
data science course

Durai Moorthy said...

This is an awesome blog. Really very informative and creative contents.

aws Training in Bangalore
python Training in Bangalore
hadoop Training in Bangalore
angular js Training in Bangalore
bigdata analytics Training in Bangalore
python Training in Bangalore
aws Training in Bangalore

Anonymous said...

I am genuinely thankful to the holder of this web page who has shared this wonderful paragraph at at this place


Certification of Data Science
Big Data Analytics Malaysia
Data Analytics Course Malaysia

raju said...

awesome post......!!
poland web hosting
russian federation web hosting
slovakia web hosting
spain web hosting
suriname
syria web hosting
united kingdom
united kingdom shared web hosting
zambia web hosting
inplant training in chennai













tejaswini said...

I will be interested in more similar topics. i see you got really very useful topics , i will be always checking your blog thanksbig data in malaysia
data scientist course malaysia
data analytics courses

nakshatra said...

I am a new user of this site so here i saw multiple articles and posts posted by this site,I curious more interest in some of them hope you will give more information on this topics in your next articles.
big data analytics malaysia
data scientist certification malaysia
data analytics course
360DigiTMG

nakshatra said...

I’m excited to uncover this page. I need to to thank you for ones time for this particularly fantastic read!! I definitely really liked every part of it and i also have you saved to fav to look at new information in your site.
big data analytics malaysia
data scientist certification malaysia
data analytics courses malaysia
data science course malaysia
360DigiTMG

tejaswini said...

Took me time to read all the comments, but I really enjoyed the article. It proved to be Very helpful to me and I am sure to all the commenters here! It’s always nice when you can not only be informed, but also entertained!

Rajesh Anbu said...

Great post..Its very useful for me to understand the information..Keep on blogging..
aws Training in Bangalore
python Training in Bangalore
hadoop Training in Bangalore
angular js Training in Bangalore
bigdata analytics Training in Bangalore
python Training in Bangalore
aws Training in Bangalore

tejaswini said...

Very informative post ! There is a lot of information here that can help any business get started with a successful social networking campaign !big data in malaysia
data scientist course
data analytics courses
360DigiTMG

Aipmca said...

Web Designer in Noida
Best Website Development service In Noida
Website Designing service In Noida
Best digital marketing service In Noida
Best digital marketing Company in Noida
Indian Bookmarking list
Indian Bookmarking list
India Classified Submission List
Indian Classified List

Priyanka said...

Attend The Business Analytics Course From ExcelR. Practical Business Analytics Course Sessions With Assured Placement Support From Experienced Faculty. ExcelR Offers The Data Analytics Course.
ExcelR Business Analytics Course
Data Science Interview Questions
We are located at :
Location 1:
ExcelR - Data Science, Data Analytics Course Training in Bangalore
49, 1st Cross, 27th Main BTM Layout stage 1 Behind Tata Motors Bengaluru, Karnataka 560068
Phone: 096321 56744
Hours: Sunday - Saturday 7AM - 11PM
Location 2:
ExcelR
#49, Ground Floor, 27th Main, Near IQRA International School, opposite to WIF Hospital, 1st Stage, BTM Layout, Bengaluru, Karnataka 560068
Phone: 070224 51093
Hours: Sunday - Saturday 7AM - 10PM

Kerrthika K said...

I liked this post. I want more different data, so kindly update here.
Corporate Training in Chennai
Corporate Training Companies in Chennai
Linux Training in Chennai
Pega Training in Chennai
Advanced Excel Training in Chennai
Tableau Training in Chennai
Primavera Training in Chennai
Graphic Design Courses in Chennai
Power BI Training in Chennai
Oracle DBA Training in Chennai
Placement Training in Chennai

offpageseo70 said...

Nice blog,I understood the topic very clearly,And want to study more like this.
Data Scientist Course

Ravi said...


Thanks for your extraordinary blog. Your idea for this was so brilliant. This would provide people with an excellent tally resource from someone who has experienced such issues. You would be coming at the subject from a different angle and people would appreciate your honesty and frankness. Good luck for your next blog!
Tally ERP 9 Training
tally classes
Tally Training institute in Chennai
Tally course in Chennai
seo training classes
seo training course
seo training institute in chennai
seo training institutes
seo courses in chennai
seo institutes in chennai
seo classes in chennai
seo training center in chennai

High Technologies Solutions said...

Thanks for Sharing a very Information & It’s really helpful for Us Otherwise if anyone Want To Learn Basic to ADV. Level SAP/ERP So You Can Check here..

Some of the best SAP Training Institute here which Provide 100% Placement Surety

sap training institute in noida
sap training institute in Delhi

Data Science Course said...

Awesome Post!!! I really enjoyed reading this article. It's really a nice experience to read your post. Thanks for sharing.
Data Science Course
Data Science Course in Marathahalli
Data Science Course Training in Bangalore

Akash said...

Thankful for a such wonderful blog yours...!
https://www.login4ites.com/web-designing/
Web Designer in Noida
Best Website Development service In Noida
Website Designing service In Noida

Arunvijay said...

great...

Intern Ship In Chennai
Inplant Training In Chennai
Internship For CSE Students
Online Internships
Coronavirus Update
Internship For MBA Students
ITO Internship

Anebellyliza said...
This comment has been removed by the author.
priyash said...

wonderful article. Very interesting to read this article.I would like to thank you for the efforts you had made for writing this awesome article. This article resolved my all queries.
Data science Interview Questions
Data Science Course

nikhil reddy said...


This is the information that ive been looking for. Great insights & you have explained it really well. Thank you & looking forward for more of such valuable updates.
Artificial Intelligence Training In Hyderabad

Artificial Intelligence Course In Hyderabad

lionelmessi said...

Hi, Thanks for sharing nice articles...

AWS Training In Hyderabad

nikhil reddy said...

Expected to form you an almost no word to thank you once more with respect to the decent recommendations you've contributed here.
Machine Learning Training In Hyderabad

Machine Learning Course In Hyderabad

Anebellyliza said...

Nice Blog ! It is very helpful and very informative and I really learned a lot from it.Thanks for sharing such detailed information.
Data Science Training in Hyderabad

lavanya said...


I am very happy when read this blog post because blog post written in good manner and write on good topic. Thanks for sharing valuable information.

Java training in chennai | Java training in annanagar | Java training in omr | Java training in porur | Java training in tambaram | Java training in velachery

Bluebase said...

Bring your Organisation Brand into the Digital World, to know more contact us

www.bluebase.in
https://www.facebook.com/bluebasesoftware/
https://www.linkedin.com/…/bluebase-software-services-pvt-…/
https://twitter.com/BluebaseL/
#applications #EnterpriseSolutions #CloudApplication #HostingServices #MobileAppDevelopment #Testing #QA #UIdesign #DigitalMarketing #SocialMediaOptimisation #SMO #SocialMediaMarketing #SMM #SearchEngineOptimisation #SEO #SearchEngineMarketing #SEM #WebsiteDevelopment #WebsiteDesigning #WebsiteRevamping #crm #erp #custombuildapplication #android #ios

CloudLearn ERP said...

I have honestly never read such overwhelmingly good content like this. I agree with your points and your ideas. This info is really great. Thanks.
Best Data Science training in Mumbai

Data Science training in Mumbai

Quadsel Systems said...

Pretty article! I found some useful information in your blog....

so here we provide,

We provide you with flexible services and complete hybrid network solutions. It can provide your organisation with exceptional data speeds, advanced external security protection, and high-resilience by leveraging the latest SD-WAN and networking technologies to monitor, manage and strengthening your organisation’s existing network devices.

https://www.quadsel.in/networking/>
https://twitter.com/quadsel/
https://www.linkedin.com/company/quadsel-systems-private-limited/
https://www.facebook.com/quadselsystems/

#quadsel #network #security #technologies #managedservices #Infrastructure #Networking #OnsiteResources #ServiceDeskSupport #StorageServices #WarrantyAMCServices #datacentersolutions #DataCenterBuild #EWaste #InfraConsolidation #DisasterRecovery #NetworkingServices #ImagingServices #MPS #Consulting #WANOptimisation #enduserservices

ek said...

Know more about Data Analytics
I am genuinely thankful to the holder of this web page who has shared this wonderful paragraph at at this place

Anonymous said...

I am impressed by the information that you have on this blog. It shows how well you understand this subject.
data analytics course
data science course
big data course
big data course
360DigiTMG

akshaya said...

This is the most wonderful blog that I have ever read. I owe my gratitude for giving me an opportunity to read this great blog. Web Designing Course Training in Chennai | Web Designing Course Training in annanagar | Web Designing Course Training in omr | Web Designing Course Training in porur | Web Designing Course Training in tambaram | Web Designing Course Training in velachery

akshaya said...

This is the most wonderful blog that I have ever read. I owe my gratitude for giving me an opportunity to read this great blog. Web Designing Course Training in Chennai | Web Designing Course Training in annanagar | Web Designing Course Training in omr | Web Designing Course Training in porur | Web Designing Course Training in tambaram | Web Designing Course Training in velachery

lavanya said...

This is an awesome post.Really very informative and creative contents. These concept is a good way to enhance the knowledge.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. This is an awesome post.Really very informative and creative contents. These concept is a good way to enhance the knowledge.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.

priyash said...

Very interesting to read this article.I would like to thank you for the efforts you had made for writing this awesome article. This article inspired me to read more. keep it up.
Correlation vs Covariance
Simple linear regression

Anonymous said...

How to determine the validation set?
this only for training ?

Hesham Eraqi said...

"How to determine the validation set?
this only for training ?"
In our example, we used the training data for validation and for testing. But a real data problem, the validation data could be selected using techniques like cross-validation, and test data are separate.

Anebellyliza said...

Nice blog Post ! This post contains very informative and knowledgeable. Thanks for sharing the most valuable information.
Data Science Training in Hyderabad

reshma said...

Thanks for sharing nice information....
AWS Training in Hyderabad

Ziarulunirea.ro said...

Very interesting blog. Many blogs I see these days do not really provide anything that attracts others, but believe me the way you interact is literally awesome.You can also check my articles as well.

Data Science In Banglore With Placements
Data Science Course In Bangalore
Data Science Training In Bangalore
Best Data Science Courses In Bangalore
Data Science Institute In Bangalore

Thank you..

Anonymous said...

Very informative post. Thanks for sharing.

top data science training institute in hyderabad
best data science training institute in hyderabad
data science with python training institute in hyderabad
data science course in hyderabad

jony blaze said...

This is a great inspiring article. I am pretty much pleased with your good work. You put really very helpful information.
Artificial Intelligence Training in Hyderabad

lionelmessi said...

Information you shared is very useful to all of us

Python Training Course Institute in Hyderabad

priyasri said...

Thumbs up guys your doing a really good job.
360digitmg ai online course

priyasri said...

Nice knowledge gaining article. This post is really the best on this valuable topic.
360digitmg business analytics online course

jony blaze said...

Thanks for sharing nice information....
Data Science Training in Hyderabad

dataanalyticscourse said...

Awesome blog. I enjoyed reading your articles. This is truly a great read for me. I have bookmarked it and I am looking forward to reading new articles. Keep up the good work!
data analytics course
big data analytics malaysia
big data course

abid said...

Wow! Such an amazing and helpful post this is. I really really love it. It's so good and so awesome. I am just amazed. I hope that you continue to do your work like this in the future also.
data science course in guwahati

eCom said...

Thank you, please visit https://www.ecomparemo.com/, thanks!

Priya Rathod said...

Nice information thanks for sharing it’s very useful. This article gives me so much information.
AWS Training in Hyderabad
AWS Course in Hyderabad

Priya Rathod said...

I like your post. Everyone should do read this blog. Because this blog is important for all now I will share this post. Thank you so much for share with us.
DevOps Training in Hyderabad
DevOps Course in Hyderabad

Priya Rathod said...

I would you like to say thank you so much for my heart. Really amazing and impressive post you have the share. Please keep sharing
Data Science Training in Hyderabad
Data Science Course in Hyderabad

jony blaze said...

Thanks for sharing nice information....
Data Science Training in Hyderabad

devi said...

I have recently visited your blog profile. I am totally impressed by your blogging skills and knowledge.



Data Science Training In Chennai | Certification | Data Science Courses in Chennai | Data Science Training In Bangalore | Certification | Data Science Courses in Bangalore | Data Science Training In Hyderabad | Certification | Data Science Courses in hyderabad | Data Science Training In Coimbatore | Certification | Data Science Courses in Coimbatore | Data Science Training | Certification | Data Science Online Training Course

360digitmg said...

Glad to chat your blog, I seem to be forward to more reliable articles and I think we all wish to thank so many good articles, blog to share with us.
360digitmg data science courses

EXCELR said...

Very interesting blog Thank you for sharing such a nice and interesting blog and really very helpful article.
Data Science Course in Hyderabad

priyanka said...

Very interesting to read this article.I would like to thank you for the efforts you had made for writing this awesome article. This article inspired me to read more. keep it up.
Correlation vs Covariance
Simple linear regression
data science interview questions

nikhil reddy said...

You have explained the concept really well. Was looking for this information from a while & luckily I stumbled upon your post. Looking forward for more of such informative updates from you

Data Science Training In Hyderabad
Data Science Course In Hyderabad

Priya Rathod said...

Nice information thanks for sharing it’s very useful. This article gives me so much information.
AWS Training in Hyderabad
AWS Course in Hyderabad

Cyber Security said...

Very interesting blog. Many blogs I see these days do not really provide anything that attracts others, but believe me the way you interact is literally awesome.You can also check my articles as well.

360DigiTMG Data Science Course In Pune
360DigiTMG Data Science Training In Pune

Thank you..

Priya Rathod said...

I would you like to say thank you so much for my heart. Really amazing and impressive post you have the share. Please keep sharing
Data Science Training in Hyderabad
Data Science Course in Hyderabad

Priya Rathod said...

Nice information thanks for sharing it’s very useful. This article gives me so much information.
AWS Training in Hyderabad
AWS Course in Hyderabad

Unknown said...

Very good points you wrote here..Great stuff...I think you've made some truly interesting points.Keep up the good work.
python course training in Hyderabad

piyasd said...

Amazing Article ! I would like to thank you for the efforts you had made for writing this awesome article. This article inspired me to read more. keep it up.
Correlation vs Covariance
Simple Linear Regression
data science interview questions
KNN Algorithm
Logistic Regression explained

PROFESSIONAL PROGRAMMERS(FLIP) said...

Very interesting blog. Many blogs I see these days do not really provide anything that attracts others, but believe me the way you interact is literally awesome. I will instantly grab your rss feed to stay informed of any updates you make and as well take the advantage to share some latest information about

CREDIT CARD HACK SOFTWARE which many are not yet informed, of the recent technology.

Thank so much for the great job.

Neeta Borse said...

Useful information Thank-you for sharing. It is really helpful, keep sharing your views. Please visit link mentioned below and share your views on them.
Php projects with source code
Online examination system in php
Student management system in php
Php projects for students
Free source code for academic
Academic projects provider in nashik
Academic project free download

Rohini said...

I was just browsing through the internet looking for some information and came across your blog. I am impressed by the information that you have on this blog. It shows how well you understand this subject. Bookmarked this page, will come back for more.
data science courses

Ashwin said...

Thanks for the information.
Machine Learning training in Pallikranai Chennai

Data science training in Pallikaranai

Python Training in Pallikaranai chennai

Bigdata training in Pallikaranai chennai

Spark with ML training in Pallikaranai chennai

Anonymous said...

Amazing Article ! I would like to thank you for the efforts you had made for writing this awesome article. This article inspired me to read more. keep it up.
Correlation vs Covariance
Simple Linear Regression
data science interview questions
KNN Algorithm
Logistic Regression explained

Priyanka said...

Attend The Business Analytics Courses From ExcelR. Practical Business Analytics Courses Sessions With Assured Placement Support From Experienced Faculty. ExcelR Offers The Data Analytics Courses.
Business Analytics Courses

Priyanka said...

Attend The Data Analyst Course From ExcelR. Practical Data Analyst Course Sessions With Assured Placement Support From Experienced Faculty. ExcelR Offers The Data Analyst Course.
Data Analyst Course

Cyber Security said...

Very interesting blog. Many blogs I see these days do not really provide anything that attracts others, but believe me the way you interact is literally awesome.You can also check my articles as well.

Data Science Course In Hyderabad
Data Science Training In Hyderabad
Best Data Science Course In Hyderabad

Thank you..

Anonymous said...

very well explained. I would like to thank you for the efforts you had made for writing this awesome article. This article inspired me to read more. keep it up.
Correlation vs Covariance
Simple Linear Regression
data science interview questions
KNN Algorithm
Logistic Regression explained

Python said...

Thank you for sharing this post.
Data Science Online Training

Anonymous said...

very well explained. I would like to thank you for the efforts you had made for writing this awesome article. This article inspired me to read more. keep it up.
Logistic Regression explained
Correlation vs Covariance
Simple Linear Regression
data science interview questions
KNN Algorithm

Anonymous said...

very well explained. I would like to thank you for the efforts you had made for writing this awesome article. This article inspired me to read more. keep it up.
Logistic Regression explained
Correlation vs Covariance
Simple Linear Regression
data science interview questions
KNN Algorithm
Bag of Words Python

delfen said...

This blog is really helpful to deliver updated educational affairs over internet which is really appraisable. I found one successful example of this truth through this blog. I am going to use such information now

Data Science Training in Chennai

Data Science Training in Velachery

Data Science Training in Tambaram

Data Science Training in Porur

Data Science Training in Omr
Data Science Training in Annanagar

rstrainings said...


it’s really nice and meanful. it’s really cool blog. Linking is very useful thing.you have really helped lots of people who visit blog and provide them usefull information.
Data Science Training in Hyderabad

I am really happy to say it’s an interesting post to read . I learn new information from your article , you are doing a great job . Keep it up

Devops Training in USA

Hadoop Training in Hyderabad

Python Training in Hyderabad

BTree Systems, Software (IT) Training Institute said...

https://www.btreesystems.com
aws training in chennai
Python training in Chennai
data science training in chennai
hadoop training in chennai
machine learning training chennai

Priyanka said...

Attend The Artificial Intelligence course From ExcelR. Practical Artificial Intelligence course Sessions With Assured Placement Support From Experienced Faculty. ExcelR Offers The Artificial Intelligence course.
Artificial Intelligence Course

rstrainings said...

I am really happy to say it’s an interesting post to read . I learn new information from your article , you are doing a great job . Keep it up

Devops Training in USA

Hadoop Training in Hyderabad

Python Training in Hyderabad

rstrainings said...

I am really happy to say it’s an interesting post to read . I learn new information from your article , you are doing a great job . Keep it up

Devops Training in USA

Hadoop Training in Hyderabad

Python Training in Hyderabad

EXCELR said...

Excellent post for the people who really need information for this technology.data science courses

Unknown said...

I finally found great post here.I will get back here. I just added your blog to my bookmark sites. thanks.Quality posts is the crucial to invite the visitors to visit the web page, that's what this web page is providing.Data Analytics Course

360DigiTMG said...

Such a very useful information!Thanks for sharing this useful information with us. Really great effort.
best data science courses

borav said...

The following time I read a blog, I trust that it doesn't bomb me similarly as much as this specific one. That is to say, I realize it was my decision to peruse, regardless I really trusted you would presumably have something valuable to discuss. All I hear is a lot of crying about something you could fix on the off chance that you were not very bustling searching for consideration.
evrmag

data scientist london said...

Honestly speaking this blog is absolutely amazing in learning the subject that is building up the knowledge of every individual and enlarging to develop the skills which can be applied in to practical one. Finally, thanking the blogger to launch more further too.
Data Analytics online course

vé máy bay từ canada về Việt Nam said...

Aivivu chuyên vé máy bay, tham khảo

Vé máy bay đi Mỹ

Lịch bay từ Seoul đến Hà Nội

vé máy bay huế đà lạt

vé máy bay hà nội nha trang bamboo

đặt vé máy bay hải phòng hồ chí minh

Unknown said...

Thanks for sharing such nice info. I hope you will share more information like this. please keep on sharing!
Python Training In Bangalore
Artificial Intelligence Training In Bangalore
Data Science Training In Bangalore
Machine Learning Training In Bangalore
AWS Training In Bangalore
IoT Training In Bangalore
Adobe Experience Manager (AEM) Training In Bangalore

Ashleel Londa said...

Many businesses which are hoping to increase their online presence are hiring an SEO company or using SEO services well to gain every single benefit while achieving their goals. # BOOST Your GOOGLE RANKING.It’s Your Time To Be On #1st Page
Our Motive is not just to create links but to get them indexed as will
Increase Domain Authority (DA).We’re on a mission to increase DA PA of your domain
High Quality Backlink Building Service
1000 Backlink at cheapest
50 Free Backlink
Although attempting to learn SEO yourself is a good idea as well as a tempting one, there are high chances you might implement SEO techniques wrongly because they need months and years of experience.

360DigiTMG said...

Nice and very informative blog, glad to learn something through you.
data science course

Unknown said...

Thanks for sharing such nice info. I hope you will share more information like this. please keep on sharing!
Python Training In Bangalore | Python Online Training
Artificial Intelligence Training In Bangalore | Artificial Intelligence Online Training
Data Science Training In Bangalore | Data Science Online Training
Machine Learning Training In Bangalore | Machine Learning Online Training
AWS Training In Bangalore | AWS Online Training
IoT Training In Bangalore | IoT Online Training
Adobe Experience Manager (AEM) Training In Bangalore | Adobe Experience Manager (AEM) Online Training
Oracle Apex Training In Bangalore | Oracle Apex Online Training

360DigiTMGNoida said...

Nice article. I liked very much. All the information given by you are really helpful for my research. keep on posting your views.
ai course in noida

Deekshitha said...

Informative blog
Data Science Course

Asinfovision said...

Very informative post. By reading your blog, I get inspired and this provides some useful information. Thank you for posting this article.
MIS Course in Gurgraon

Deekshitha said...

Informative blog
data scientist course in Bangalore

bespoke packaging boxes said...

Bespoke packaging boxes At Bespoke Packaging UK we strongly believe in the interests of bespoke packaging, which has multiple benefits. Over the last few decades, we have built up vast experience in producing bespoke packaging for a vast range of items.

Ashleel Londa said...

It was wonderfull reading your article. Great writing styleiamlinkfeeder iamlinkfeeder iamlinkfeeder iamlinkfeeder iamlinkfeeder iamlinkfeeder iamlinkfeeder iamlinkfeeder iamlinkfeeder iamlinkfeeder

Thakur98 said...

Kim Ravida is a lifestyle and business coach who helps women in business take powerful money actions and make solid, productiveIamLinkfeeder IamLinkfeeder IamLinkfeeder IamLinkfeeder IamLinkfeeder IamLinkfeeder IamLinkfeeder IamLinkfeeder IamLinkfeeder IamLinkfeeder

Anonymous said...


Thanks for the Valuable information.Really useful information. Thank you so much for sharing. It will help everyone.

SASVBA is recognized as the best machine learning training in Delhi. Whether you are a project manager, college student, or IT student, Professionals are the best machine learning institute in Delhi, providing the best learning environment, experienced machine learning instructors, and flexible training programs for the entire module.
FOR MORE INFO:

IamLinkfeeder said...

Cliff Saunders has spent over 20 years as a student of health and wellnessnude indian actresses tamanna bhatia boobs nude alia bhatt disha patani sex videos lady gaga nude mouni roy old pictures nude kajal sonam kapoor xnxx nude anushka hansika boobs

vivikhapnoi said...

An awesome blog thanks a lot for giving me this great opportunity to write on this.
thời gian bay từ việt nam sang trung quốc

vé máy bay tphcm đi quảng châu

săn vé máy bay giá rẻ đi thượng hải

giá vé máy bay từ vietnam đi anh

giá vé máy bay eva đi mỹ

lịch bay từ mỹ về việt nam hôm nay

python training said...

it’s really nice and meanful. it’s really cool blog. Linking is very useful thing.you have really helped lots of people who visit blog and provide them usefull information.
Data Science Training in Hyderabad

I am really happy to say it’s an interesting post to read . I learn new information from your article , you are doing a great job . Keep it up

Devops Training in Hyderabad

Hadoop Training in Hyderabad

Python Training in Hyderabad

Tableau Training in Hyderabad

Selenium Training in Hyderabad

Buy SEO Service said...

We are used to the fact that we know only religious and public holidays and celebrate only them.Iamlinkfeeder Iamlinkfeeder Iamlinkfeeder Iamlinkfeeder Iamlinkfeeder Iamlinkfeeder Iamlinkfeeder Iamlinkfeeder Iamlinkfeeder

Buy SEO Service said...

We are used to the fact that we know only religious and public holidays and celebrate only them.Iamlinkfeeder Iamlinkfeeder Iamlinkfeeder Iamlinkfeeder Iamlinkfeeder Iamlinkfeeder Iamlinkfeeder Iamlinkfeeder Iamlinkfeeder Iamlinkfeeder

Linkfeeder said...

We are used to the fact that we know only religious and public holidays and celebrate only them.Infominutes Infominutes Infominutes Infominutes Infominutes Infominutes Infominutes Infominutes Infominutes

aishu said...

I read your article it is very interesting and every concept is very clear, thank you so much for sharing. AWS Certification Course in Chennai

Maneesha said...

This is very fascinating, You are an excessively skilled blogger. I’ve joined your feed and sit up for seeking extra of your magnificent post. Additionally, I’ve shared your site in my social networks
data scientist training in hyderabad

Data Science Course in Bhilai - 360DigiTMG said...

Fantastic blog extremely good well enjoyed with the incredible informative content which surely activates the learners to gain the enough knowledge. Which in turn makes the readers to explore themselves and involve deeply in to the subject. Wish you to dispatch the similar content successively in future as well.

data science certification in bangalore

Himachali Khabarnama said...

Annabelle loves to write and has been doing so for many years.Backlink Indexer My GPL Store Teckum-All about Knowledge

salome said...

thanks for providing a useful article
Angular-training in Chennai

cosmetic boxes uk said...

Custom Printing Services co.uk. it is the best printing services and the follow my website new technology printing in the best works try the link spoken. thanks cosmetic boxes uk | cosmetic boxes uk

cosmetic gift boxes said...

I as well believe hence, perfectly composed post! Custom Printing Services.cosmetic gift boxes | cosmetic gift boxes

rstrainings said...

I am really happy to say it’s an interesting post to read . I learn new information from your article , you are doing a great job . Keep it up

Devops Training in Hyderabad

Hadoop Training in Hyderabad

Python Training in Hyderabad

Tableau Training in Hyderabad

Selenium Training in Hyderabad

Printed Carboard Packaging said...

Great You have good ability of writing and know how to attract the people with your words. Packaging Printing offering you the best Cardboard Boxes and Printed Cardboard Packaging Services to make your product more eye catchy like the catchy article. So don’t be late Packaging Printing also offering you the free and fastest shipping.

Data Science Course in Bhilai - 360DigiTMG said...

Truly mind blowing blog went amazed with the subject they have developed the content. These kind of posts really helpful to gain the knowledge of unknown things which surely triggers to motivate and learn the new innovative contents. Hope you deliver the similar successive contents forthcoming as well.

data science in bangalore

360DigiTMGAurangabad said...

You have done a amazing job with you website
business analytics course in aurangabad

data scientist course said...

I really enjoyed this blog. It's an informative topic. It helps me very much to solve some problems. Its opportunities are so fantastic and the working style so speedy.
data scientist training and placement in hyderabad

vivikhapnoi said...

I have to convey my respect for your kindness for all those that require guidance on this one field. Your special commitment to passing the solution up and down has been incredibly functional and has continually empowered most people just like me to achieve their dreams. Your amazing insightful information entails much to me and especially to my peers.
có vé máy bay từu mỹ về việt nam chưa

vé máy bay từ úc về việt nam giá rẻ

Các chuyến bay từ Incheon về Hà Nội hôm nay

săn vé may bay giá rẻ tu Nhat Ban ve Viet Nam

Cách săn vé máy bay giá rẻ tu Dai Loan ve Viet Nam

cách đăng ký về việt nam từ canada

Fiducia Solutions said...

Fiducia Solutions is an ISO 9001:2015 certified institute providing course certifications to all its students. We, at Fiducia Solutions, see to it that the candidate is certified and entitled to bag a good position in acclaimed companies. We provide certificates that are valued, and our alumni reputation proves that we are good at what we offer.

And that is not all! We are known to provide 100% live project training and 100% written guaranteed placements to our students. That’s what makes us the best PHP/ HR/ Digital Marketing training institutes in Noida and Ghaziabad.

PHP Training Institute in Noida
HR Training Institute in Noida
Digital Marketing Training Institute in Noida
Android Training Institute in Noida

data science said...

Great to become visiting your weblog once more, it has been a very long time for me. Pleasantly this article i've been sat tight fosuch a long time. I will require this post to add up to my task in the school, and it has identical subject along with your review. Much appreciated, great offer. data science course in nagpur

Diyalabs said...

Thanks for sharing such a helpful, and understandable blog. I really enjoyed reading it.

Robots for kids
Robotic Online Classes
Robotics School Projects
Programming Courses Malaysia
Coding courses
Coding Academy
coding robots for kids
Coding classes for kids
Coding For Kids

Ramesh Sampangi said...

Thanks for sharing this blog. I appreciate your efforts on this blog.
Data Science Course with placements
Artificial Intelligence Course with placements

Unknown said...

takipçi satın al
instagram takipçi satın al
https://www.takipcikenti.com

Ramesh Sampangi said...

Nice blog. Thanks for sharing with us.
Artificial Intelligence Course
Machine Learning Training

«Oldest ‹Older   1 – 200 of 269   Newer› Newest»