Okay, good morning everyone. Good morning and welcome to our next session on the subject of faith. Our faith is always one of the most interesting subjects because it is a foundation of our Christian walk and life. Okay, so let's begin with the word of prayer. Okay, let me pray today. Yeah, sure, let's pray. Heavenly Father, we thank You for this time. Lord, we thank You for the truth of Your Word. Lord, we believe that You are building us up, O God. Lord, each word at a time. Father, God, line upon line and precept upon precept. Lord, we pray that our faith will be built on the solid rock of Your Word, O God. Father, God, strengthen us and help us to stand established for the purposes of Your kingdom. Father, we speak blessings upon each and every student and Father, we pray that this time will be a great time of Lord just being refreshed in Your presence. In Jesus' name we pray. Amen. Amen. Okay, so let's begin with a little bit of recap. So what did we learn in the last class? If you remember some parts of what we had learned, you can share. We talked about faith. Okay, and we said that, which is the scripture that we read to understand the concept of faith. Hebrews 11 and verse 1. And in Hebrews 11 and verse 1, we saw that faith is like the sense or the sixth sense that we have in our spiritual being, which tells us of things which are going to come. So based on God's promises, there are some things which are going to take place or some promises that we are going to receive. That is in the future. But where is faith? Faith is now. Now faith is. So now we carry faith in our hearts about things which are going to happen. Okay, so that is what we saw in Hebrews 11 and verse 1. And we also saw that faith is, it's a conviction or an assurance, meaning it's a strong sense that what God has promised will take place. So we carry a strong sense in our heart, even if we don't see many things aligning to what the word says, we hope and trust that it is going to take place. So today we have an assurance or a conviction about something that will only happen later. Okay, so that is how we understood faith. And we also touched upon different aspects and said that, you know, believing is something that we have to do. Believing is something that we have to do. Faith is something that we carry. And we said that faith is what connects us to God. Faith pleases God. So if we want to make God happy, what should we do? The Bible says faith pleases God. So when he sees our hearts and there is faith in our hearts, that will make God happy. But what is the opposite? What if we carry unbelief? It will displease God, isn't it? If faith pleases God, unbelief will displease God. So the point is that in my heart, I should have faith. I should not have unbelief. So I have to do everything possible to carry faith in my being. Okay, and faith is what connects us to God. And we saw how, you know, faith should be in the Lord Jesus Christ and not used as a principle. You know, sometimes we can just use a principle or a law. And I told us last time, we could say that, you know, if you pray like this, you will get an answer. Or if you believe like this, you will get an answer. That's the principle or that's the law. If you throw an apple from the roof, it will fall down. That's the law. That's how it works. But faith is more than a principle or a law. It depends. We must anchor our faith in the person of the Lord Jesus Christ. Meaning, we should not use it independently. Somewhere, you know, we could say that, okay, I will use faith, but we don't strengthen our personal relationship with God. So when we do that, there's a problem because faith must be rooted in who Jesus Christ is. Okay.  We said that it is based on relationship. So relationship is important in faith. We can't say that I'm going to be a very strong believer. I will carry strong faith. But what if I don't pray, I don't worship, I don't have my daily communion with God, but I'm a woman of faith. Is that possible? For some time, the principles of God's word may work in my life. Right? So that's a danger. So I may be operating in faith. But if I miss my relationship with God sooner or later, everything will crush. So we have to remember that faith must be based on our relationship with God. So that is where the strength comes in. Okay. And then we said that faith is of the heart. Meaning, you remember I said in the heart, you know, faith is like a seat. It is there in the heart. It grows in the heart. Now, why are we making a distinction or talking about the difference between the heart and the mind? Because in the mind, we may have questions. We may have doubts. But because faith is of the heart, even when we have doubts and questions in the mind, in the heart, we can believe.  So that is the importance. Faith is of the heart and we can keep it in the heart. We can nurture it. We can grow faith in our hearts. So faith is of the heart and God calls us to live by faith every moment. We need to live by faith. Okay. And there are so many stories, amazing stories. I would encourage you to read some of the stories of, you know, men and women of God who have walked by faith. And as we go through this course, hopefully, you know, I'll share a couple of stories. So maybe I'll start from page 9 here. I'm kind of restarting from here. I know we have already seen these sections, but for us to become strong in what we are learning, you may have heard about George Muller or George Muller as he's known. He was somebody who decided to take care of children. So running a home for the children was not easy, right? But to serve God, he decided that he is going to take care of children. So he was a person who did not want to ask for money from anyone. So you can imagine every meal to provide for the children was very difficult for him. So when you read his life story, there is one incident where there was no money and no food and it was time to feed people in the home. And George and his wife, they were like, what do we do? Everyone's hungry. We have to provide food. But at that time, what they did, they just prayed and they said, Lord, you are the provider and you are the one who has called us to do this ministry. So we are going to trust you. We are going to, you know, believe that you will provide. So they prayed. So when they prayed, what happened? The incident goes something like there was a food van. There was a food van in the van. They were carrying a lot of meals. And something happened to the van in front of, you know, George Mueller's place. So some breakdown, something happened. So the vehicle just stopped. Now, the driver didn't know what to do because it's a big vehicle. You cannot move it forward.  So we can just give it off to somebody who's close by and he goes to, you know, a home nearby and he finds George Miller and the family. And he says, hey, can you all take this food and use it because I can't use it. The vehicle is not moving. Can you imagine? Okay. It's unusual to think that something like this can happen when people carry faith in their hearts. So this was one man who did the ministry of serving people and he carried faith in his heart and we know this is just one story. But there are so many such stories when people have believed God. Amazing things have taken place, right? Even today, when we believe God, the impossible can take place. But what does God need? What is God looking for? What is he looking for in the heart? Faith. If there is faith, so much can happen. So I can keep sharing story after story of different people. Smith Wigglesworth is another man of God. You can read about his life. He was not so, you know, learned. He was a plumber and his English was not good. He was, you know, he was not able to preach in great English in his times. So there were a lot of challenges. But one thing about Smith Wigglesworth was he was a man of faith, okay? Incredible faith to the point that it is said that he is one of those people in whose ministry a good number of dead people came back to life. So there are so many stories that you can read. Even one particular story when he was praying for a child and something like when he was praying for the child, the child died in his lap but he didn't give up. He said, no, he began to speak the word of God and he began to say, no, you know, I speak life over this child. This child will live. Can you imagine what kind of faith, you know, people, men and women have carried in their hearts. And that's what we're talking about. When you have faith, that's what God wants. When God told Moses, you go to the promised land, you cross the Red Sea. Moses could have asked the question, how is it possible? How can the Red Sea part, but he believed. So God is looking for a man, God is looking for a woman to believe. When we believe, God can do mighty things. Think about Mary, the mother of Jesus. The angel comes to her and says, no, you are going to bear a son and you must name him Jesus. She's amazed. She says, how can this be?  How can this be? And the answer is by the power of the Holy Spirit. But what was important? She believed. God can do something incredible through the lives of those who believe. If we believe, right, God can work miracles through our lives. That's the way, even in the life of Mary, God could have picked anyone, somebody great, he could have picked. She was an ordinary girl, young girl, you know, not yet married. She doesn't know how to raise children, but God called her and said, through you, the son of God will be birthed, the Lord Jesus. But one thing that made it possible for all these people that I'm talking about, you know, to really see the promise of God fulfilled in their lives was faith. Imagine any one of them, if they said, I'm sorry, this is, I can't believe this. How can this happen? God would not be able to work through them. He would have had to find somebody else. He would have searched till he found someone, one person who believes. If we believe, when we carry faith in our hearts, you know, faith will move mountains. So this is what faith is. Faith is the assurance, it's the conviction, it's the substance. As Hebrews 11 says, it's a substance of things hoped for, the things unseen, right? Like the things that we've not seen, they're going to come. But today, what is it? We carry a substance, that is what faith is. So every time we need to look into our hearts and see every day. You know, we check our, you know, we're also used to our phones, right? Phones, battery, we check, okay, 50%, 60%, 90%, we're happy. If it's 100% or great, you know, I can, I'm connected, okay? We check our fuel tank when we ride a bike or a car, how much, how much of petrol is there? But how about our faith? Where is my faith? What is my indicator saying? You know, what is the level of my faith? That's what God is looking for. So as we learn about faith, one thing that we must be encouraged to do is to build ourselves up. Build our faith up to always keep it strong, to always keep it high. Okay, now let's read Romans chapter 10 and verse 17. Romans 10 and verse 17, please. Can somebody go ahead and read it aloud? Let him read and then please. He wants to. Okay, Romans chapter 10 verse 17. It is there in the notes also. Yeah, I think we can hear you. Okay, thank you. Thank you so much. Faith comes by hearing and hearing by the word of God. So I've been talking about keeping our faith at a high level, right? So increase your faith. Increase our faith. How will it come? It has to come from somewhere if we have to increase it. So what it just now, you know, what was read to us Romans 10 17. Faith comes by hearing and hearing by the word of God. So if I want my faith to increase, what should I do? Hear the word of God. So what are we all doing now? So do you think there will be faith put into your heart, your spirit? Yes or no? Yes, yes. So as we hear the word of God, what is happening? Whether we recognize or not, faith is rising in our hearts. Okay, so faith comes by hearing and hearing by the word of God. So every day, you know, we need to make time. Read what the Bible has. So read the Bible. Listen to good sermons. Study the word of God. The way all of us are here studying God's word together. Study the word of God. So what's happening? We are making an effort to hear. Faith comes by hearing and hearing by the word of God. Faith comes by hearing and hearing by the word of God. So this is the way in which we can build up our faith. So every day, what's happening? You know, the way we all started this course is we may have been in a certain status of our faith levels. But as we are going through not just this course, any course that has the word of God in it, what's happening? Faith level is increasing, right? Because we are hearing the word and faith is coming by the word of God. Okay, so this is the way in which we can develop faith. Now we may say, I don't have faith. I don't have faith. Where is faith? I don't have faith to do this or I don't have faith to study. I don't have faith to clear my course. Don't worry, you can get faith. Even if we don't have faith, faith comes by hearing and hearing by the word of God. So what can I do? I can take scriptures that tell me about how God has promised me, you know, to build me up in the knowledge of God. I can take scriptures that talk about the, you know, the Holy Spirit empowering me in understanding and wisdom. So when I start to meditate on these scriptures, what happens? Faith starts to rise up for me to study or do my course or, you know, whatever I want to do, isn't it? So in this way, it's totally up to us to build our faith to receive from God. So faith will come as long as we are spending time in God's word. Okay. Okay. Fine. Are you all understanding? I'm just breaking it down so that we can use it. Okay. Fine. Great. Let's move on. The next thing that I want to share for us is faith in the word is faith in God. So when you think about the time when there was a centurion who came to Jesus because his servant was not well. Do you remember Matthew chapter 8? Okay. There was a centurion. His servant is not well and the servant was not with the centurion. So then what happens, you know, Jesus offers to kind of go to see that six servant, but the centurion tells Jesus, Lord, I am not worthy that you should come under my roof, but only speak a word and my servant will be healed. Then it says, when Jesus heard it, he marveled and said to those who followed, assuredly I say to you, I have not found such great faith, not even in Israel. So what is happening here? Jesus wants to go and see the servant. Okay. But the centurion says, No Lord, you only say a word and my servant will be healed. So Jesus is amazed in a good way. He's so happy. Why? Tell me why? Because of his faith. Okay. Well, this faith is a great faith. Yes or no? Because this faith is saying, even if you don't come, if you speak one word, it's enough. That is powerful. It will do the work which it is meant to do.  You understood? So when Jesus says something, even when he's not there, his word is him. Understood? So even today, when we take a word of God, he's not here physically. Where is Jesus now? He's in heaven. But his word, it's as if he's there. When we put our faith in the words of Jesus, behold, I will be with you even to the end of the age. He's not there speaking it into my ears with sound, but his word is him. Did you get it? Yeah? So that is the faith. That is the faith that the centurion carried. He said, Lord, he didn't even say, Okay, give me a book, Lord. You know, write all your spiritual blessings and give one book or give me a passage. One word. Just speak the word and my servant will be healed. So he understood the power of the word of Jesus. So even today, we must understand that the word is Jesus. So the word is not just, you know, like when we read the Bible, sometimes in people use all these quotes, they say, like when you read the Bible, right? When you read the Bible, the Bible reads you. Okay, you got it. When you read the Bible, what happens? The Bible reads you. So when you read any other book, you're just reading the book. But when you read the Bible, the Bible begins to engage. Why? Because, you know, Hebrews, what is, I think 14 verse 12, it says that the word of God, 4 verse 12 says that the word of God is living and active. It's alive. Every word that we read, it is alive, just the way the centurion understood. God, Lord, only one word. If you say one word, it's enough. My servant will be healed because he carried faith in the word that the faith, the word is the person. Okay, so there is an active believing in what God is saying in the word of God. This is the way in which we must engage with the word of God or the Bible. If we just read the Bible like a book, yeah, a lot of people do that. Scientists do that. Historians do that. Archaeologists do that. Maybe they have read the Bible many times. But what is the difference in what I'm saying right now? What is that one element that we need in our hearts when we engage with the word of God? What is it? Faith, correct. So you don't read it without faith. If you read it without faith, it doesn't amount too much. But when you read it with faith, then the way the centurion saw the miracle, in the same way miracles will take place because the word is him. Okay, now let's move on. Faith is like a muscle. It grows as it is exercised. So the Bible teaches us in Romans 12-3. It says God has dealt to each one a measure of faith. God has dealt to each one a measure of faith. Now those of us who are good at cooking, okay, we know how we measure things. The way you may measure flour to make chapatis or bread, or the way you measure some spices to put it in a salt. We usually say pinch of salt. That's a measure, a little bit of salt, right? Or a teaspoon of salt. The Bible is saying God has given us a measure of faith. Now this measure need not remain at the same level. So I said pinch of salt. I can have more than a pinch of salt if I want. I can have salt, a spoon of salt, or I can have, you know, we have those salt shakers on the table, pepper salt. So I can put it in one of those. I can have that much of salt or I can have a full jar of salt, right? So the measure of how much I have salt can vary. Now when the Bible says that we've been given a measure of faith, we have a measure of faith. Another thing that the Bible says in 2 Corinthians 1 and verse 3 is faith grows exceedingly. Faith grows exceedingly. So that gives us the understanding. If I start with a pinch, you know how Jesus said mustard seed. Do you have mustard seed? All cooking, cooking language, okay? Mustard seed level of faith? That's enough. You can move the mountain. But you find in 2 Thessalonians 1, 3, you don't have to remain as mustard seed. Your faith can grow, faith can increase, okay? Faith can become bigger. So we can trust God to help us increase our faith.  Maybe I don't have faith for it, but can I grow in my faith? Yes, I can grow in my faith and I can develop myself, right? For ministry. Maybe God has called me to teach God's word, right? And I don't have faith. I feel like, oh God, I can't do this. It's too difficult for me. But can I grow? Can I grow? I can grow. I can grow in my faith for my ministry and say, God, increase my faith. I will increase in my faith. I will learn, I will pray, you know, I will spend time in God's presence. What happens? We change, right? We change because what's happening to our faith? Faith grows exceedingly. It can grow. That's what the Bible is telling us. We may start with a measure, but faith can grow. Now how to make it grow is the question. Anybody here into exercise and fitness? Yes, no, maybe the heads are shaking all over the place. So I don't know if it's a yes or a no. Let us see what's here on the chat. Okay, there are some comments. Thank you everyone. No questions yet. Okay, so I was saying fitness. Now, okay, some of you who said yes, right? So how will you grow your muscles? How will you make your muscles stronger? Sleep. Sleep every day 8 to 10 hours. Just sleep, get up. Your muscles become so strong. Am I right? Are you sure? Okay, so you seem quite sure. Okay, somebody here says, Shubu says, exercise. So when we exercise, what happens to our muscles? They become stronger, right? So maybe in the beginning you start to work out and you take maybe, you know, like 1 kg weight and you just try to do. That's already hard enough. You're struggling. You're sweating, right? You want to drink a glass of water immediately because it's already not strong your muscles. But if you keep it up every week, little bit, little, little, little at one point you may be doing 3 kgs, right? And you don't feel it. What happened? What happened? I can't hear you. Yeah, what happened? You became strong. Yeah, so the muscles became strong. The same muscles they were very weak. But over time as you exercised, it became stronger and stronger and stronger and stronger. This is the way in which we can grow our faith. Let's say, you know, I'm so scared to pray for somebody because I feel what God may not answer or you know what will they think about me or I'm not able to speak in the right language. But we have to exercise, right? So if you don't take that step, what happens? It's like sleeping. Your muscle will never grow. It'll never grow. But if you step in and take a chance, right? You go. You're so scared but still you say, brother you have any prayer request I'll pray for you. You're already shivering, right?  You're like so scared. Oh my goodness, I have to do this. But that's the best way. What are you doing? Exercise. You're pushing yourself. It'll feel so painful. It'll feel so uncomfortable. But as you do it first time, maybe the person says I was so blessed. I felt the peace of God when you prayed for me. Something, right? That encourages you. Next time you go to another person. Again, you're scared. But little better, right? Little better this time. So you go, you pray a second time. In the same way you keep praying, praying, praying, praying. What will happen? You've exercised your faith. So when suddenly there is a need, okay? You suddenly see somebody is sick. You go straight away. You're not scared anymore because you have exercised your faith in prayer and you say God will hear me. I will pray in the name of Jesus, right? I command the sickness to leave. So this is the way in which we have to step in and exercise your faith. Exercise my faith and faith will increase. And when faith increases, if we must see faith we can do mighty things for God with great faith. So much can be done for God and that's what God wants. He wants all of us to carry a lot of faith in our hearts. So don't ever think, I don't have anything. Do you have faith in your heart? Yes, that's what God wants. We can start with faith. If you have faith in your heart, mighty things can be done through each one of our lives. Okay? So faith, make it grow with the word of God and faith will also grow with God's word. And there are many factors that affect our faith. So what are those factors? Those factors are in the section on page 11. It says that faith works through love. Okay? Faith works through love. Meaning the reason why I exercise my faith should be based in love. So imagine somebody is not well or you find that there is a person who is caught in all kinds of addictions. Okay? Now when we look at these people some sick person, we may say oh so sad they are sick. Okay, leave it. Now we may find somebody who may have certain issues. Behavioral issues, addictions. We may look at them and say oh so sad but you know there is no hope for this person and leave it. But how did Jesus respond? How did Jesus respond? What does the Bible say? He was moved with He was moved with. I can't hear you. Compassion, right? He was moved with compassion and compassion of Jesus was the reason why He healed. Not that they deserved it or we deserve it. No, right? God is so gracious. It's not about us deserving anything but He loves us so much that because of His compassion, He healed. He delivered. He did miracles in people's lives. Even today for us, we may say oh I have a lot of faith. I have a lot of faith. But where is that compassion? Why did God give us that faith? So that we can use it with love and compassion. So when I pray for someone, what is the meaning of that? I care, right? There is underlying love in that. God's love. I want God's love to be poured out on another person's life. That's why I'm praying. Why am I prophesying to somebody? Because of love God's love, God's word of encouragement should be spoken into that person's life. So I prophesy or anything else anything that we do, anything preaching. Why are we preaching to show that I can preach very well? No, we should have the underlying motivation, God's love. This will build somebody up. This will build the body of Christ. This will build up, you know, God's people. So yes, I will do this ministry, right? So the underlying reason to use our faith should be, what should it be? Competition, hatred, then what should it be? Why should we use our faith? Because of love. Okay, so because of God's love, which we want to show others. So this is the reason that we must exercise our faith. And the Bible says that faith works through love. Without love, no faith will be inactive. So many of us know, even like a phone, some of these, this one has, it is connected to power. But you know the phones which run by battery and put a battery, the cordless mic I'm saying phone mic, yeah. So cordless mics, right? So the cordless mic, if you remove the battery, what will happen? I'll speak here, I'll speak loudly. What will happen? You can't hear. It may be the best quality cordless mic. But without the battery, it's useless. In the same ring, we can carry a lot of faith. But if we carry anger, hatred, unforgiveness, bitterness, you know, competition, rebellion, all that we carry in our hearts. But faith also, we have great faiths. But we have a bad attitude, right? Not a godly attitude. You know what? Our faith will not be effective because the Bible says faith works through love. That's the best way. So what is the battery in that cordless mic? It's love. So to make faith work or to make that mic work, we need love. So as much as we work on faith, we must also work on love. To carry that love in our hearts, then what happens? Faith becomes very effective. There's faith, there's love and we can be so effective in whatever we do. So faith works by love. And there are in 2 Peter chapter 1 verses 5 through 8, that's another passage which talks about building up our Christian lives. Meaning to progress in our Christian life. You know, the way all of us, we understand that children, they join nursery, then they go to primary, they go to high school and then eventually they graduate from school and the journey goes on. In the Christian life, it's somewhat like that. So we may say that hey, I'm a believer. That's just the beginning. I'm a believer. That's just the beginning. There is so much of progress that we need to make in our Christian work. Keep going up. So that's what Apostle Peter said in 2 Peter 1 verses 5 through 8. You know, he says you need to add to your giving all diligence, add to your faith, virtue, knowledge, self control. So he's making a full list of attitudes that we need to develop as we grow up in Christ. So I'm not going to go into it but just for us to understand that when our faith needs to be effective, it will need love and it will also need many other virtues to make it really thrive. Then faith causes the power of God to be released. Second Thessalonians chapter 1 and verse 11, can somebody please go ahead and read it for us? Second Thessalonians 1 and verse 11 please. Another person? Anyone else? Okay. Thank you, Akhil. I think because we didn't have the mic, the online audience couldn't hear it. What this says is that what God does is that good pleasure of His goodness and the work of faith with power. So God blesses our work of faith with power. You know what the meaning of that is? It's like saying when we take one step God takes 10 steps. Okay, it's like that. Think about Moses. What did God tell Moses when he went and stood in front of the Red Sea? Did he tell him, okay you stretch the waters and you know put 100 men this side, 100 men that side. What was a simple instruction? Simple instruction. Use the rod. Okay. Use the rod. No. Moses you go. There'll be the sea stretch forth, right? You stretch forth the rod. So think about this. What did Moses need to do for the Red Sea to come apart? Only one thing. What is that one thing? Stretch. Stretch the rod. So this scripture is somewhat like that. He says that God will do our work of faith. Work of faith with power. So we take only one step. That is our responsibility. What did God tell us to do?  What is God's work? God will heal. God may tell us to do. Okay, you go. You sing that song. What will God do? He will bring His presence. God will work through the anointing. God may say, God told Abraham, Abraham come out. You go. And the Bible says by faith Abraham went. He didn't even know where he was going. Thinking, oh goodness, what is going to happen? Where am I going? What will happen to my life? But only one thing that he did by faith. What was that? Okay, God, you told me pack my bags, go. I'm just going. One step. Then we know the life of Abraham. We are going to study about the life of Abraham. How he is that man of faith who has become an example for us. Only one step he took. Very bold step. God told him go. He went. That's all. When we take that one step, the Bible tells us God will give his power to it. Right? So the mighty work God will do. But what does he want us to do? One step. What is he asking us to do? That one step may seem very small. But by faith we need to take that one step. Okay, and then God will bless it. He will give his power. The work of faith with power he fulfills and completes our work of faith with power. So these are things for us to remember. Alright, so I know this is a pretty detailed recap but I think it's necessary so that we really gain a good knowledge about what faith is. Now we can move on to chapter 2 here which talks about God's sovereignty, grace and faith. So what is this term? Sovereignty. Sovereignty.  He does not need us to help him. Okay, so that is what sovereignty means. So whatever happens, right, if you look at God's sovereignty okay, I'll put it in a different way. No one can stop God. Okay, so that is how you understand God's sovereignty. So we'll talk a little bit more about the dynamics of God's sovereignty as well as faith. Now if God is somebody whom we cannot stop or whom we cannot change right? How is it that my faith is needed? God can do whatever he wants to do. Why does he need my faith? So that's the question we all battle with but we will look at what the Bible has to say about God's sovereignty as well as our faith. So talking about God's sovereignty, the Bible is very clear that God is almighty. In Job 42 verse 2 it says, I know that you can do everything and that no purpose of yours can be withheld from you. So in that passage you see that God is being affirmed as a great God. Whatever he wants to do he can do because he is God. So God is so great and we also notice that God is very gracious. Gracious means that God he loves to have compassion. He loves to show his mercy. So the scriptures tell us in Psalm 86 verses 15 that God is full of compassion and gracious, long-suffering and abundant in mercy and truth. So our God is sovereign, all-powerful and gracious. So then we can let God do whatever he wants to do, isn't it? Because he's already good. So for us to think that if God is all-powerful everything will be done by God and I don't need to work on my faith that would be a wrong posture. So what we'll do is I think it's better we just take a break and come back so that we can get into explaining this at a stretch. So let's go in for a break. We'll be back in 10 minutes. So 10 o'clock we will start our next session and talk about the dynamics of God's sovereignty and faith. So thank you, thank you everyone.


Life is good all this month at Appalachian Wireless. Get the LG G5 for just one penny with sign up or renewal of a two year service agreement. That's almost $100 off the regular price. Better service, bigger savings. That's today's Appalachian Wireless. Residents of Letcher County can get rid of their old tires this weekend. The county will hold a tire amnesty Thursday through Saturday. We have several locations that are tires and we try to clean them up if we can get to them. Sometimes you can get a grant to do that. Tires for cars, trucks, bikes, ATVs and other smaller tires will be accepted. Some restrictions however apply. You can't bring any off road tires, that would be like tires on loaders, rock trucks stuff like that.  And you can't have a bead greater than a inch and three quarter. Anything under that they will take. But if any of those items are over, they will not take them. Tires can be dropped off at the old Sawanee Tipple in Isam off Route 7 on these days and times. Retailers, scrap dealers and salvage yards may not participate. The tire amnesty is sponsored by the Letcher Fiscal Court and the Kentucky Division of Waste Management and is open to Letcher County residents only. In Letcher County, Chris Anderson, EKB News.


It is finally time to interview. All right guys, what is going on? Luxury for the MD journey, helping you succeed on your medical journey with less stress. This video I am going to be taking you on my very first residency interview. So I'm super excited. If you are new to this channel, first of all, my name is Lux, I'm a fourth year medical student applying to internal medicine. And if you want more videos on tips on medical school or as a pre-med, how to study, how to manage your time, this channel is all about helping you through my successes and my failures throughout my four years in med school. So make sure you like this video, first of all, and subscribe to the channel as well as the notification bell and check out the rest of the channel and see what we have to offer you. There's plenty of tips and people have been enjoying the content so far, but I'm going to be putting videos on a weekly basis. But today is going to be me taking you on my very first residency interview. Obviously not gonna tell you where it is, but I'm gonna tell you kind of what the days around it are like. So today is my day before my interview. So tomorrow is officially my interview day. But if you're unfamiliar with the residency process, the way it usually works is the day before your actual interview day is usually a dinner. That's where you get to meet all the residents that are already part of the program. So you get to ask some of the very basic questions, which is, do you like it here? What's your day like? How often are you on call? Tell me about your experience. How well do you go along with each other? Where do you live? How much does rent cost? Things like that. And that gives you a good feel about the community, the personalities that are there, and the opportunities as well, because that's probably where you're gonna get the most honest opinion. And then the next day, so for me tomorrow, is going to be my actual interview. So that's where I kind of dress up in a suit with a tie and we'll take you guys there. So hopefully you guys like my outfit. They're all like right here, by the way. So having decided what I wanted to wear, so I have like five options and we'll go from there. But I'll make my decision tomorrow. So I'm going to head out actually in a few minutes, have all my stuff packed, and because my first residency is within driving, within driving distance, I'm going to save myself some money and not fly. So I'm gonna drive myself to dinner. I'm gonna pack all this stuff up in my car and I'll talk to you guys in a second. So as I'm getting ready, I thought about one of the questions that I had when I was kind of planning for this day. And one of them was like, what do I wear? So to be safe, I'm just kind of in like a nice button up with some slacks. See my guitar there. But yeah, some button up slacks, no tie or anything. And it's rainy here in Texas, so I'm gonna just have a jacket on. And that's gonna be my outfit. It's nothing too crazy, but usually the programs will like let you know what the dress attire is, but it's better to dress up versus dress down is my opinion. And then tomorrow, obviously for interviews, you kind of have a suit and the whole galore. So suit and tie is all ready. So that was question number one. Question number two is like, what do you do to prep for an interview? And I made a video about this before, so I'll link it down below. But some of the things that I did is I made a nice notebook where the common questions that you're probably gonna be asked on your residency interviews. Not necessarily the dinner before, but interview tomorrow. And I kind of made a list of those and I'm going to be practicing my answers to those. At least coming up with different experiences that I could talk about. And then I have, I looked up the program. So you look up, you know, go on the website, see what they have, what do they think is important because that's what they're gonna put there on the website and make some notes, make some questions that are curious, like why do you like it? And I started to create a Google Excel sheet. So it has all the programs. It has, and I have columns for all the things that I value. So location, the personalities of the residents as well as the quality of the training. And I have different columns where at the very end, so tomorrow I'll just put my dots immediately after my interview date on those columns. So that way I have a nice realistic impression of each program. So that's kind of how I prepped. Just found some questions that I'm going to be doing tonight. Just kind of make sure my mind is going, questions like tell me about yourself, you know, what's the hardest experience you've had in medical school that way you're not caught off guard. And that's pretty much it. I didn't do anything crazy to prep. I just kind of looked at the program, made sure I had some questions to ask the residents today, like authentic questions, things that I find interesting and we'll go from there. But I went to quickly pack and then we were going to head out. All right guys, what is going on? So sorry for not recording yesterday but managed to go to the interview dinner, met all the residents, really enjoyed it. Basically as soon as I drove into town, the residency dinner started. So today's the next day. Today is my interview day. I'm already dressed as you can see with the tie. This is my lucky tie that I got accepted into my current institution with. So I'm just going to continue to wear almost all my interviews. But it's about to be seven o'clock and the day usually for an interview day starts around that time, seven or eight. Usually there's a breakfast. The morning you kind of meet the faculty including like your program director. You may get like a lecture or at least see what like a teaching component of the residency is like. So we have morning reports today. So that should be interesting. And then we'll get a tour of the hospital, the facilities and then usually in your interviews you have like two to three interviews. I have three today at my current institution that I'm at today. And then you get to go home and your day ends around like 12 or one. So I'm looking forward to it and I will see you guys after my interview. And I'll tell you kind of my impression, how it went and then also kind of my system on how I make sure I jot down my impressions. So I will see you guys after my interview, wish me luck. Take care. All right guys, what is going on? So I just finished my interview day, had three interviews plus like tours and lunch throughout the day. So I am done, feel a lot more relieved now but it was a great program. I enjoyed what I saw. And kind of at this point of the stage what I want to do is I have an Excel sheet where I am putting every bit of information on like my impressions of the school. So how did I get along with the residents? How did I get along with the attendings that I met? That's really something at least for me that's really important because I'll be working with these people if I choose to go here. So how long, how well do I think I'll be able to get along with them? What did I think of the program? What did I think of their curriculum? If I wanna do like further training later on and go do a fellowship in like cardiology or oncology, would I have the options to do it here? And so just being able to answer all those questions literally I just put a check mark or like a yes or no on my Excel sheet and then any notes that I have. So like I would write, oh, I really enjoyed this about this program or like this didn't feel so quite right. Putting all those notes in Excel sheet that way when I have to make my decision and like put my rank list I can look at each of these things and look at my initial impressions and then look back and then realize what's the most important. So I'm going to make sure that the impression I have right now which is currently fresh, I put that onto paper or Google Doc I guess and then we'll go from there. But that is my residency, first residency interview video. I know it's not a long video but that's kind of what the process is like. Yesterday I had the pre-interview dinner and today I had a morning kind of lecture. So it was like a morning report, kind of see what the education part of the residency is like. We had a lecture presentation given by the program director and then we had tours of the facilities as well as the nearby area to see kind of where people live. That's also important. And then finally we just had our interviews which are important and we had lunch with fellow residents and faculty members. So it was a nice short, nothing too extensively long but I feel like I got up the information I needed to have my questions answered and hopefully I put an impression that they're happy with. So we'll go from there but more interviews are coming in, more interviews are being scheduled so it's gonna be a busy next couple of months but that's the process. Usually interview season goes up to at least an internal medicine all the way up to like mid-January and right now it's the start of October. So it tells you kind of how long the process goes usually by the end people are starting to like get tired out but right now I'm excited and enjoying the process. So we'll go from there but hopefully you guys enjoyed the video. If you did make sure you give this video a like subscribe to the channel for more content just like this. As I go through my residency process including interviewing at other places as well as creating my rank list and going to the match I'm gonna be making more videos on the process. So hopefully you guys follow me on my journey. Obviously more tip videos are coming back to you so make sure you check those out throughout the channel but make sure you like the video subscribe to the channel I will stop babbling like I always do and I will see you guys later. Take care guys.


Yeah, I mean, just Pro-V1's the entire stuff. Yeah. What? 100 dozen Pro-V1 brands with it. Yeah. The trajectory I'm looking for, the field I'm looking for, I'm looking for everything. This has got a complete package, so when I change my budget to this, it's more something better, and these are better. We'll just do, like, a little fade here. 10 LE damage areas, right? And we'll be able to... Oh, no time. Yeah. No time. Move out of all the alleys in your bag. I think some newish in person. Which is good. Which is good. Guys, we're very excited. It was just, I mean, I never would have anything to do with those stores.  I was like, that's awesome. Is the Blacks party the thing to be over this week? I think we can get it there, I think. It's pretty close. I think we just have, with the current stuff on the site, I think there's maybe like five other, five or six other spots that just aren't as common. Get it there. Up to the bottom. Look at this. G-Dog, what's going on? Hello, hello. What's going on? Not much, how are you doing? Good. And tight. No, never. It's just background music for me. I feel like, if you'd like to pay for the licensing for, for some popular, for some popular music. License popular music of the times, we'd be happy to accept that gift. I'm sure the Beatles license isn't that expensive. The Taylor Swift license is pretty cheap. I'm sure we can get that pretty easily. Can't be that expensive. No, got nothing for baseball. My brain has been in open championship mode. I've just been doing my research on, on the golf, the last major of the year. But typically I never bet favorites. There's really no value in betting favorites. I could have a losing record, but still be plus money. If I just bet dogs the entire time. Which is usually kind of how I do it. I have an updated, I need to update this, but I need to update June, but I mean in May, basically it was even, and it was up plus 31 units on the season, well under 50%, positive units. Hasn't Minoa been pitching better? I almost would take the other side of that. I feel like he's kind of back, right? So when he came back in July, six strong innings, one earned run. 91 pitches, 64 for strikes. Eight strikeouts. I mean the, you almost have to bet the number. His pitching gets muskrow. I still think there's value. What's the other side? What's the Blue Jays odds? 110, huh? That might not be enough. John, Bowman U is sold out. Are you sure about that? I would double check. I guess I was hoping that the, if the Blue Jays were like plus 120, plus 125, I feel like that'd be better just off the top of my head. 11 months. Correct. Yeah, it's not going to break for 11 months. Hey, where is that? Six box one of one case? I don't know. You know what? I know that. That's supposed to be half case. I was confused by that too. I was like wait, one of one case? And a hyphen will help? And how about I just write tomorrow? On there. Are you sure it's officially officially sold out, John? I don't think it is. Remember ladies and gentlemen, this is John giving me a great excuse to highlight this. We haven't talked about this in a while. If a break is sold out and not on the schedule, we likely have filler breaks to complete the giveaway, to complete to give away the remaining spots. Or we just need to go through orders, which I'm already done with. So, let's see if there's any fillers. There's Bohm University right next to it. Best university spot giveaway. Boom. Knowledge. We've finished up these orders here. Wait, what? That's not full yet. What's going on here? One. I got one. I also got one. Scott got two. Mark got one. Jason Waters got three. I got one. And then two more. Jared had one. Simon had four. And Tristan got one. Brian got one. Nathan got five. Joe got one. I got one. Also, John is lagging behind, and he's responding to my question statements from a few minutes ago, five minutes ago. It's a good, another lesson for everybody. Not only should you check to see if there's any fillers for any breaks that look like they're sold out, but also make sure you're watching live. You may miss trade windows. You may miss special giveaways that I might do if you're lagging behind a little bit. You might be just behind on the jokes, behind on the commentary. So just be sure you're watching live as well. Nothing sold out at the moment. This pack only has one spot left, and as soon as that sells out, I can post the last filler for that. We still need some people to buy spots straight up, but I guess we can keep putting them into fillers. That works for me as well. Also, now that I'm done with all the orders, all of the wax party breaks are on the site now. Yeah, we're planning on two fillers for that. Alright, Scott just picked up the last spot in that pack and gets a full spot in the quick hit break itself, which is actually a little misleading. I guess there's quick hits in there. It's not a quick break though. It's actually a very long break. It's about an hour, but the sooner we can get that done, the better, in my opinion. There's a wax party spot on the line. All the wax party breaks are on the site, folks. Definitive we have to run back a couple of times, but there won't be any additional breaks after that. So if you look at the break schedule, there are 10 breaks left. Now my advice to you, if you've won a spot, make sure your name is on the list. Otherwise, I don't know, it's disaster. It's sad times. There'll be a lot of tears. So just make sure, if you know you've won a spot, make sure if you don't see your name, definitely let us know. So we can get your name on there before this is full. Once it's full, we do the randomizer, that's it. We'll have to compensate you some other way for our mistake. But audit us. Make sure that we haven't made a mistake. And of course, you can always go to the wax party page, click on the link right there, and that'll take you directly to the wax party invite tab. If you don't see your name on there, let me know and let me know the video and the break number and all that. So we can look at, confirm, and add your name to the list. 2014? Go on Joe from jaspyscasebrakes.com coming at you with 2014 Panini Prison Football Salo Pack Break No. 38. We're giving away 10 of those 15 box football mixer spots. Remember that 15 box football mixer is a wax party break. We are officially running out. jaspyscasebrakes.com, check it out. Netsfiller is already loaded up if you want to chase after some of those spots. Big thanks to this group for making it happen. All the teams are in, so let's do the break first. Then we'll do the different randomizer for the giveaway part. So three and a five, eight times for names and teams. One, two, three, four, five, six. Also a quick note for where are you on this list here. For Eric, I think Nick had accidentally posted the Netsfiller prematurely. So you bought a spot there. On your order, the title will say 39, but it's actually for Pack 38. Now let's just print and rip. So this is Pack 38, ladies and gentlemen. Pack 39 already in the store. Another 10 mixer spot giveaway. This is as good as it's going to get. Angles ones. All right, here's the official printout. I know Frank. Just one little thing causing so much, so many issues. Oh, we've got an autograph in here. We have everyone remember Xavier Suafilo. Remember this guy? Yeah? No? Texans, that'll be for Brian. 55 out of 60. I don't remember this guy. Suafilo, I feel like the last name rings the bell, but I couldn't tell you anything about that player. But an autograph nonetheless, a little blast from the past. All right, now let's see who's going to win those mixer spots. Let's flip back over here. Let's gather everybody's names. One through 32. New dice, new list. And it's going to be the top 10 after eight. Six into two, eight times, good luck. Two, three. All right, so from 11 through 32, sad times. But I appreciate it. Oh, there's Eric. Eric is actually watching this time. So he got the message. We're good, Frank. 11 through 30. Well, sorry, Eric. Appreciate you trying though. There is another one if you want to get into break 39. That goes for you and everybody on this list. 11 through 32. Thanks for giving it a shot. But only the top 10 can be happy here. And that's Nathan. Nathan's happy. So it's Jason, Reno, Brian, Peter, Tristan, Alan, Nathan, Alan again, and Brian. So congrats to the top 10. We'll see you in that mixer maybe a little bit later tonight, jaspyscasebreaks.com. All right, sorry, Eric. Maybe 39 was truly the one you should be in. And there's potentially a number 40 as well, especially if we don't move those full spots, if the next filler sells out faster than the full spots, then we'll take those full spots back out and we'll turn them into a filler. You might have to, Eric. You might have to. All right, there's the next one right there. All right, gang. What's next? I mean, there you go, Eric. Thank you. Eric Klicks gets into the official break 39. Fires the first shot there. Who's next? Where is that? There it is. Break 39. So that's the 15 box football mixer. There's also another 18 box mixer that where three Wax Party invites are being given away. So we're running out of Wax Party invites, ladies and gentlemen. We're planning on some definitive, that four box high end baseball mixer, the NT baseball, Donors Optic basketball, Panini one football seven and eight, the 15 box mixer and then the Omaha mixer. That's it. That's 10 breaks right there. So, win your way in, buy your way in, you know what to do, get in on it. We got NT down to single digits, almost a single digits. Now remember, if that goes into a random number block, the people in the random number block per the rules, they don't count for that end of Wax Party randomizer. I actually did that once. I corrected that error. But just as a reminder, actually I'll probably put it into some sort of team giveaway filler instead. But the definitive baseball down to 10 teams, 14 teams left in that high end four box mixer, that's gilded and triple threads. You got obviously pre-order Tox Chrome Jumbo, we got some football. Let's get some more action on that Panini one football. That's a Wax Party break. If we sell that out, you can win teams there. If you win teams, you do have a chance at a Wax Party invite. We got some soccer there too if you want a little alternative. But Wax Party breaks, that's what we should focus on. I mean, listen, I'll tell you what, we have time to get the entire Wax Party promo done tonight. I'd be surprised if we did, you know. But we technically could get all that done and do that randomizer tonight if we hustle. Is there an estimate on how long after the Wax Party actually happens that the prize will ship out? Yeah, about six, seven months, maybe? Somewhere around there. Nine, 12 months. No, probably two, three days, except for the NT football because that got delayed. But the rest of the boxes, we actually pulled a few weeks ago. So they're all sitting in a separate section of our inventory. And so they're ready to go as soon as that invite goes. So it'll probably ship out with a little bit after that. So we're ready when you're ready. So we're ready to go. So we had a big flurry of orders earlier today. Let's get some of these breaks across the finish line. That definitive is really nice. Ten teams left there. Four box, a lot of nice teams left here as well. And of course there's NT. So baseball fans, let's get this on the road before they end up in fillers, which I'm probably going to start working on right now, actually. Also another break that's pretty close to filling that we can do right now is this, the optic basketball. Half the teams, half the league is being given away. So half the break, we'll get a team and pick your team too. Let's do that. Let's make it happen. And if you end up in the optic basketball break, that is a wax party break. What should I filler that definitive first? Maybe the NT. Maybe all three. Yeah, I'm probably going to start fillering all three of those pick your team baseball breaks. So if you want to get your teams before they end up in a filler, once they're in, they won't be going out of the filler. What should I use here? Maybe. You didn't pick Joe? No, good. You're out. I'm going to go right into an empty game. Nice. Have fun. A wreck's feeling better than yesterday. Feeling yesterday felt better than the day before. So on the mend. Slight sauce. Guardians. That's not a bad price point. $68.99 for a 13 team filler for a high end break. Let's do it. We're going to use a mosaic choice box. No one's buying NT teams, right? You had your chance. All right, that four boxer and the definitive also going into a filler shortly. So get your teams before that happens. All right, so gilded. What should we use for gilded? I think we'll use that prism pack, prism baseball pack for this one. So now it's your last chance to get into this break or get your team straight up in this break. No, Alas, no, but they're going into fillers. Obviously you can preview these better. I'm doing some really high end ones. There's some people watching. That's the giveaway. The last one. This is the giveaway? But those are the main chasers in there. For your hip-packs today? They're really high end though. Jason wanted to give you a preview of his hip-packs on Insta today at Jaspy's Breaks. It's already posted. You can start buying right now, but this is not all of them, right? No, these are just the main chasers. These are all over almost 2,000 inches. Wow. What, really? Is Michael Harris? Yeah, well it's pretty much spot pricing. Wow, got that. Nice Darius Garland 8.5.10. Is that from Upper Deck? Oh, that's right. Yeah, he's an exclusive. That's right. So that's why you're not going to see too much of him. Steph Curry is awesome. I've heard of this guy. Jordan's pretty good.  Moro Tani. These are $2,000 as well? Yeah, those are $2,500.  Crazy, yeah. I mean, I didn't think there were that much in my head. Maybe like $1,500, but... Right, yeah. That's why I wore it like last year. That was like $3,500.  I don't know, that's a 6, too. That's the Yankee fans' reason. So this is the grand prize. That's like $8,000 to $10,000 right there. It's a Roberto Clemente cut auto and a Willie Stargill cut auto. That's awesome. From 2018 Triple Threads. I mean, that's the kind of stuff we can get out of the Triple Threads on YouTube as well. Yeah, for sure. It's a nice one, either. And we're giving away our Tani baseballs, hip-hacks. Dang. There's only 30.  You can instantly add... I mean, you can instantly add some amazing stuff to your collection right then and there. That's awesome. And that's all on Instagram. There's personal boxes there as well. But the hip-hacks are also a fun feature.


The Russians have three ways to fight against Leopard 2 tanks. Despite all the advantages of Leopard 2 tanks, they are not invulnerable for Russian troops. Djornstridsel, a columnist for the German publication build, told what enemy weapons would pose a danger to Ukrainian crews on German tanks. Ukraine is about to launch a counter-offensive, and in particular, it will rely on modern battle tanks sent to it by Western partners, including the German Leopard tank. The Russian occupiers are ready, the newspaper writes. According to Stridsel, the greatest threat to the Leopards is posed by Russian anti-tank systems Kornet and Metis, designed specifically to deal with modern Western tanks. They are capable of penetrating up to one meter of tank armor. The infantry of the armed forces of Ukraine should counteract the anti-tank systems crews, which will destroy them in advance, preventing them from hitting the tanks. The second big danger in battle for the Leopards is anti-tank mines, primarily the Soviet TM-62M and their modifications. The expert notes that Russia widely uses minefields in its combat tactics. Therefore, the timely detection and clearance of such minefields will be one of the most important tasks of Ukrainian engineering teams, writes Stridsel. The third big danger for the Leopard 2, the expert considers the most modern of the Russian tanks T-72B3, T-90AM and T-80BVM. Although the Leopard 2 is superior to them, these vehicles are still capable of destroying a German tank, so when a tank duel, a lot will depend on the intelligence and skills of the tankers.


Thank you very much. So this talk is about bit security of certain elliptic curve-based one-way function. And it's a joint work with Alexander Duke. So first, to introduce the problem, very often, whenever we have a secret, a long secret, we are interested to know whether parts of this secret is secure, so that we can use only certain bits of the secret. In particular, one question is whether we can use individual bits as hard-to-compute bits. And the main sort of one-way function on which I want to focus, it's a hardness assumption known as the fixed argument pairing conversion problem, or FAPI. And it's the underlying assumption of various protocols. So just to state the assumption first, I'm going to fix a prime, p, and an elliptic curve over Fp. And then I will consider a large cyclic subgroup of points on the elliptic curve, g. And I will consider a cryptographic pairing from g cross g into a target group. So if I fix one of the arguments of the pairing, the second argument, what one gets is a function from the group g to the target group. So that's the function that we often believe is hard to invert. And the problem of inverting this function, we call it fixed argument pairing conversion to problem. So if I fix the first argument, then I'm getting the problem that's known as FAPI 1. OK, so why is this problem relevant and interesting? Well, we can just mention a few schemes that are whose securities based on this assumption. So the celebrated identity-based encryption scheme of Bonet and Franklin, then we have the three-party, one-round key agreement protocol by Jue that's based on this assumption. And we have also signature schemes, identity-based signature schemes, due to Hess. So basically, the assumption that we want to make is that FAPI 2 is hard. And why is this assumption valid? If you believe that FAPI 1 and FAPI 2 are simultaneously hard, then this, well, if you can solve FAPI 1 and FAPI 2, then this yields a solution to the computational Diffie-Hellman assumption. So it is reasonable to believe that FAPI 2, at least for the moment, is hard. And this is what we're going to do in this talk. So the contribution that I will report on today is assuming the hardness of this problem, FAPI 2, then we can show that all the bits of the input to the pairing-based one-way function that we just defined are secure. So any of the bits. OK, so let me tell you a little bit about the model of analyzing this problem. So first of all, elliptic curves for us will be given by short-various stress equations, y squared equals x cubed plus ax plus b, with non-zero discriminant. And of course, some of these equations will be isomorphic. So we need to distinguish isomorphic equations. And the way in which we would distinguish, it's very classical how you would distinguish two isomorphic equations. Basically, their coefficients have to be related via a scalar lambda in the way that a prime is equal to lambda to the minus 4 times a, and b prime is lambda to the minus 6 times b. So there should exist a lambda. So the two equations are going to be isomorphic, even only if there is a lambda that relates the two coefficients in this way. And we can also write down the isomorphism explicitly between the two curves just by multiplying the x and the y coordinates by lambda squared and lambda cubed respectively. So now it's very easy to see from here that each isomorphism class will have precisely p minus 1 short of bias stress equations, namely, that will be determined by the number of scalars lambda that we have in the multiplicative group of the finite field. So what we would assume, and the way we would state the main result, is as follows. So we would assume that we have an oracle that predicts the k-bit of the input to the one-way function on a significant fraction of all the bias stress equations in the isomorphism class. So here I should make it very precise that when we talk about bits of an element in a finite field or in a group, we usually specify the explicit representation of the finite field. Here we talk about bits of a point on an elliptic curve. So we need to specify exactly the short bias stress equation that represents this elliptic curve. That's why we're assuming that the oracle works on a significant fraction of all the bias stress equations representing the elliptic curve. So we can query the oracle with the output of the one-way function together with specifying the short bias stress equation. So basically we show that if we have such an oracle, then we have an efficient algorithm to invert the function fq. OK, and as a conclusion, this shows that if we believe that fapi2 is hard, then all the bits of the input to the pairing-based one-way function are going to be hard to compute. OK, so just to mention a generalization of that, so the argument that we are using uses very little from the properties of the pairings. So in fact, all we are using is that the one-way function is defined on the isomorphism class. And that's why we can state a much more general result here. So assuming that we have a function from the elliptic curve group to the target group with the property that its definition is independent of the choice of the short bias stress equation so that it's defined on the isomorphism class, then if inverting f is hard, we get that every bit to the input of f is secure. Well, here is an open question that's currently the only interesting cryptographically interesting example of such a function is the pairing-based one-way function. It would be very interesting if we can find other examples to which the above result could apply. So let me see a little bit about the method used to prove the security result. So our method is based on defining a special code. So we would use the oracle to transform the problem of inverting the function to a least decoding problem, a coding theory problem. So we would define a special code which we call the elliptic curve multiplication code, ECMC, whose code words will be in bijection with the points on the group that are the input points to the function. And then we would use the oracle to construct a noisy code word corresponding to the hidden point. And then we would inverting the function would basically mean least decoding. So the least decoding part is based on Fourier transforms. So it's a technique that's known as least decoding via Fourier transform. And it's due to multiple people. So the code words, the idea is that the code words, in our case, will be viewed as functions on the multiplicative group of the finite field. Then the first step of the algorithm will be taking this function and doing a Fourier transform and picking only the heavy Fourier coefficients. Of course, we cannot do this always because the function is defined on an exponentially large domain. So what we need is a requirement is that the number of heavy Fourier coefficients is small. And if we assume such a requirement, then we can apply an algorithm that's due to Kavya, Goldwasser, and Safra, which is known as the SFT algorithm, that will give us a list, a polynomial size list, of all the heavy Fourier coefficients. I will comment a little bit about this on that later. And finally, once we have this list of coefficients for each of the heavy Fourier coefficients, we're going to try to list all the code words that have this coefficient as heavy. So given a frequency, basically, on the frequency domain, we're going to list all the code words that have a significant Fourier coefficient at this frequency. So this is what we call the recoverability part of the algorithm. Now, let me comment a little bit on how we could use the prediction or a code. So if we are given the hidden input R on the group, and if we're given a short-virus stress equation, w, then one thing we could do is we could use the prediction or a code b, plugging in the short-virus stress equation together with the output to get the k-bit of the x coordinate of the point R on w. So using that, we can define a code word. So that will be a function from the multiplicative group to plus or minus one as follows. At each coordinate, I'm going to change the various stress equation, w lambda, with the isomorphic one obtained by lambda, and then query the oracle on that equation. So this gives me a code word. I can't really represent it efficiently because the domain is exponentially large. But at least I can access it. I can access every bit of this code word. OK, and it's a noisy code word because my oracle is noisy. Now if I have a, now I have to constrict the code. And the most natural definition of the code is simply to take the x coordinate of the representation of the point on the corresponding various stress equation. So in other words, I have to multiply it by this factor of lambda squared here. Well, that doesn't really, so first of all, we need to see how we can decode what kind of properties are needed. And as I kind of implicitly mentioned already, we need three properties that I list here. First of all, accessibility. So any bit of the input, any bit of the noisy code word has to be accessible. Then the second property is Fourier concentration. And then the third property is recoverability. So unfortunately, with this definition, the Fourier concentration, one cannot establish the Fourier concentration. So let me tell you a little bit about the Fourier concentration. Very simple background on Fourier analysis. If we have a function, then after doing the Fourier transform, we're getting a set of frequencies. And each of these frequencies comes with a coefficient. So we call the function Fourier concentrated if it has a small number of significant Fourier coefficients. So if we have only a small number of these frequencies, that would approximate sufficiently well the function. So the frequencies, we call them Fourier basis. Well, they form a Fourier basis. And in our case, since we are working discreetly, those will be characters of the group. So the second point is recoverability. So recoverability, once we have a list of the significant Fourier coefficients and the corresponding frequencies, for each frequency we would like to obtain a list of full-D code words that are having this frequency as significant. So the recoverability, once we have Fourier concentration plus recoverability that typically implies less decoding. So let's look at the first attempt a little bit more closely. So we have these code words that are defined here using multiplication by lambda squared, or taking the x coordinate on the corresponding Varstras equation. This will work fine if we can show that the code words are Fourier concentrated. However, establishing such a result is very difficult. Because if you do the Fourier transform, then the Fourier transform, the Fourier coefficients are estimated using very famous Gauss-Sampson analytic number theory. And this has been very well studied by the analytic number theory people. And basically, one cannot get any good estimates to show the result of the type that we need. So this approach seems to be not so fruitful, and we need a different approach. Basically, what we would do is we would define a different list decoding problem. And here, to modify the list decoding problem, we use an idea that's due to Bonet and Szperlinski from 2001, when they studied the bit security of the least significant bit of the Diffie-Hellman function. So the idea is that we would modify our prediction oracle by taking the square root whenever possible of the position lambda of the element lambda in the multiplicative group of the finite field via a random square root function. So if one does this, one is slightly randomizing the prediction oracle, and that allows for linearization in the code. So our code now will look like multiplication by lambda as opposed to multiplication by lambda square. And here we can do very precise estimates on the Fourier coefficients and proof Fourier concentration. So this code is Fourier concentrated, and one can also show that it is recoverable. So this uses a nice technique of Morillo and Ruffles on a representation, convenient representation of the interval from 0 to p minus 1. So as a summary, just to summarize the results, we prove that every bit to the input of any elliptic curve based one-way function is hard to compute. In particular, the input bits to the fixed argument, pairing-based one-way functions, are going to be hard to compute. And here we also list several open questions. So of course the most difficult problem here, which is out of hope for the moment, is can you prove the same result if you fix the short viastras equation, if you don't allow, if you assume only an oracle that gives you the bit prediction on a fixed viastras equation? And another generalization here is to look at the entire class of curves with a given number of points, which is relevant for the choice of elliptic curves in cryptography, and then show that if you have an imperfect oracle working on this class, then you can again invert the input to the pairing-based function. So we have done some progress on that question. And finally, we are interested in assuming the prediction oracle that predicts a block of bits. So this is also possible with Fourier transform ideas. Thank you very much.


Speaker of the Oya State House of Assembly Honourable Adebo Ogundoyi has decried the spate of kidnapping of innocent citizens in Ibarakpa area of the state. He said measures have been intensified to curb development. The Speaker said this when he visited the office of the Oya State PAC Management Committee Iruwa. The PAC manager, Benga Ojedapo, grieved him on the abduction of passengers on Wednesday. They said the abductors had contacted the husband of one of the victims and demanded the sum of 10 million Naira for her release. Hello, hope you enjoyed the news, please do subscribe to our YouTube channel and don't forget to hit the notification button so you get notified about fresh news updates.


Hi, good afternoon. I'm Karthik Raghunandan representing openwater.io. When I say water starting from the source to the Complete river pollution you require enormous amount of energy money power to treat How are you going to tackle right from the contaminated source of ground water surface water and an industrial discharge? Which is very tough to even address right here? We propose a very simple solution Concentering the cases which we saw and here what it was like a black water which somebody cannot drink was our initial case study that we Took and within a very less time energy as well as money We could treat that water the technology is novel We have three different solution cases here One is for handled water bottles where you can carry yourself to treat as well as Use a hand crank to get water from any of the puddles and one is mid-scale and one is a large scale where we are already having a pilot being run there, right? And The technology is very simple We apply electric fields and try to coagulate the particles and we don't waste water no membranes and we don't waste any energy here A lot of energy. There were many pilots which were Done and here are our customer segments where we can go to Industrial wastewater, which is large-scale and people on transit natural disasters and currently what we are concentrating is on large-scale systems Where we can have the market penetration much easier, right? Where are we now initial basic research was completed feasibility demonstration and the point of Having a device at the lab was completed and we have tested our device Currently what we are doing is viability demonstration and commercial translation which requires about an investment of 150 euro 150k euros to 200k euros right and we were winners of Global entrepreneurship networks topped and startups by rack innovators award Elevate hundred Google pitch first award as well as Gandhi and young innovator awards. We have got three patents and four Trademarks currently the team size is for some of the media recognition is here and here I represent our team a very good team a match of Academisia business as well as management with IOT and others and thank you our vision is to have Pure drinking water, which is a right for everybody and you can acquire that through us. Thank you Brilliant give it up for Karthik and open water Thanks a lot. That was brilliant 30 seconds to go. So let's see how long this Jerry takes It's the water filtration is pretty crowded markets How are you better than the competition is it in terms of cost of technology or yes Looking into the technology currently we don't use any membranes So which reduce the logistic issues for you and which reduce the money and price for your maintenance CapEx as well as Opex is reduced there and technology. We are very different We use electric fields and we understand the particles which are present inside the water or a fluid We try to acquire only that and try to remove them and the particles which get coagulated is easily removed through a normal CU which do not require much energy for you to be removed How unique is this technologies? Sorry, how unique the technologies do you have any competitors worldwide and Like your patents are they only Indian based or they are worldwide patents. That's your protection. Currently the patents are Indian based We are now Taking two PCT's and applying throughout the world, right? Looking into the technology We have electro coagulation and electricity electrochemistry as one of the major Competitors for us, but we compete them on aspects of power the electro coagulation and the electrochemistry requires a lot of power We understand the particles which are present inside and try to apply very little of power Say for handle device which requires 10 Millie watts to 100 milliwatts which is as good as flashing your bulb for a second Can you handle any type of contamination to water? I mean particles oil poison Yes, we cannot go to the further side of trading seawater to drinkable We have some limitations and we have not tried towards the organics of having a tannery wastes But currently the pilots that we are doing is for industrial wastewater treatment, which is for polishing and plating industries There the quality that we could get was the polishing industry wastewater to drinking water So that the aim was actually successful with ISO standards. That is the Indian standards for Reusability But you must have very controlled processes because you obviously have would have to test the water after the process Yeah, the smart way for us to do this is we have got sensors which immediately detect what the particles are present inside the Floyd and they drive so We don't have to much worry about the particles which enter in What is your business model? Yeah, we have different business models starting from a technology being licensed that we are not looking as of now The current business model that we are looking for is to have a large-scale system That is the pilots that we're currently doing actually scale it up to 10,000 liters or 1 million liters for the industries Parallel we are also looking for wastewater treatment which is a sewage or gray water treatment for apartment complexes and offices So the immediate market entry will be through the large scale Are you targeting a specific geography at the beginning or in terms of markets? Yes, the current geography for us is India and Bangalore because I see a lot of issues has to be phased and there is lack of technology that has to be implemented and Hopefully we got two customers paid customers and we are doing our pilots there And we are trying to expand our pilots for the next couple of years and then couple of months And then expanded to 10 pilots or 15 pilots before we scale it up and get a product out in the market And how do you see your solution being more customized to India? Compared to other solutions from around the world for specifically for the Indian market What I can quote is Intel inside Intel is there and everybody's laptop so open water in each and every solution That is where I can compare myself What's what's your vision for the company so what's gonna be like after the first product? What kind of company do you want to have? What kind of company do you want now? I'm sorry we need to discuss the vision in private after the event. Thanks a lot. Karthik in open water. Give it up


Hey guys, so I want to do something a little bit different today And I don't know if anyone's done this before I haven't seen another Arttuber show of her boyfriend sketchbook before which is what I'm doing in case I haven't made that the title and Basically, I wanted to show his work because he does so much for me And I think he's an amazing artist and I think you guys will like what he's done. That's it So let's get into it. Okay, this is gonna sound really corny But honestly Chris is probably one of my biggest inspirations in the sense that I remember when I first met him And I was like, how are you this talented? This is his sketchbook. I don't know when he started this one, but it's finished I think Paulie last year finished it. It says write nothing in here in Boston in case you can't see that So it's a pretty cool sketchbook. Anyway, I think we got it in London when we were visiting one time Sort of prompty stuff like write nothing in here Just doodle and here first of all we have some great character designs again I mean, this is gonna be pretty weird because I don't really know the thought process behind the designs and the style that he's chosen But I can sort of guess and we'll see how that works out This is all gonna be a surprise to him. So hopefully he likes this video and he's not like take it down immediately Yeah, so he does primarily character design, but he's looking to get more into illustration Yeah, so he does like lots of really nice cute characters. He uses a lot of different mediums here He's used Copic pens and inks I remember this was actually for a commission for a local magazine That was for that and so he was doing some sketches there some thumbnails Is that the way or is that the way? I think that's the way. So here's some more thumbnails Here's some messy designs with a ballpoint pen. I guess Lots of Copics and just messing around with line and style I think he has a very distinct style and he says he doesn't have a style and I think that's garbage I think he does have a style here. He has depicted me and it says oh hi. I'm Steph Please pass my sketchbook. Yeah, okay He's done some like blobby stuff that I think you've seen Casey do and here I think you've done that as well and Chris has done that a few times in this sketchbook Some faces. It's a good warm-up to do I really like this character. I really like the way it turned out and the colors And I think he's used Copic pens and then maybe some paint pens here and some ink and then some pencil over the top for Shading and I really like that one. That's so cool. It's quite nice to look at somebody else's sketchbook and be like Yes, this one's amazing because it's not really well It is a little bit biased, but it's not me talking about myself. So it's cool here again or some random guys We like the way that he's playing with proportions here I think that's something that Chris usually tends to do is pushing the boundaries of design Hey, I love this one. He's got the boots to pay the bills And like just weird really cool weird character designs, which I love I don't know what this guy is about. Is that his eye? Is there a hole in his head? It's beautiful This was for another commission that he had do about Gibraltar and I think gangs in Gibraltar Like in the 1930s or something. That's quite interesting. Here. He's done like a little pencil sketch. Oh, look at that.  It's pretty horrendous, but I really like it as well I think I just like the the dungeons What's it called? It's morning when it's just like random dungeon morning. Is that the word? More Binding of Isaac. I like the pencil work. He's done here in the shading. That guy looks a bit crazy He's another guy. I think that's slightly inspired by Binding of Isaac like the eye and stuff little muscle guy Again, you see pushing the boundaries of proportions and stuff So massive hands feet little square dude some nice shading on him Some muscular women. I like those. I really like the sketch But I think it stops you from being so precious because it has got writings and stuff in it So you can just be like me or whatever Pencils and I think he's gone over the top with a white pencil here to highlight certain areas This cool character design. I really like this guy. I Think this is from Street Fighter. I'm not sure. Let me know if I'm wrong could be his design could be based off Street Fighter. Oh This is when he was reading One Punch Man. I think it's called One Punch Man. No, I'm wrong It's called Last Man. You guys read that comic really nice style published by first second I believe and I really love anything published by first second. Have you guys read some of this stuff? Anya's Ghost. They do loads of stuff. I'm a big fan of that publisher It was be my dream to be published by that one day, but I don't think it will happen But you never know.  Saws everyone I like this guy as well. Yeah, like I said Chris really likes character design I think that he's gonna try and do some like background stuff this year and Props and things like that to get more rounded portfolio, but I think his stuff is really cool and quirky So if you're an illustrator agent and you're looking for somebody to represent I don't know Why you'd be watching me, but yeah, oh, here's the blob challenge again. You guys know that one I really like this guy kind of looks like a Dracula guy, but much better than nerdy Dracula. I love these shapes. They're so cool Maybe you like that. Hey Casey Casey's recent most recent video was about doing this blob challenge. I love this one It's so random just like a guy with a little ship on his head with little people poking out That's so funny and cute. This one is just bizarre, but I think that's brilliant More blobs.  We wanted to do this and it was gonna be sort of ghosty story. So here's the character like undead Yeah, we were really into it and I still want to do it. I think we can do it We're gonna do it guys. Leave a comment down below giving us some Inspirational quotes and how we can get to it Here's some more blobby challenges. I love these guys. This guy. I don't know why he's such a good personality He's like He looks like he could be a character in Zelda like Sorry That's such a specific reference. I hope you get it. I like this motorcycle Oh, I love these ones just more blobby faces I think he was focusing on doing like different faces here and yeah, I again the blobby challenge I don't know you guys probably know what it is But if you don't you just put down like a blob of a color and then you just try to draw over the top They make something of it. Oh This was this guy from Is it overwatch is it overwatch or is it here is the storm? I can't remember now this guy was came out as a new character on one of them I think it was heroes of the storm. I should know because I played a lot of heroes of the storm You're gonna tell me if I'm wrong. So it doesn't matter Here's some more doodles of him and an original character. Oh Lovely this guy is gross, but I can really appreciate The draftsmanship in this piece and the different colors and yes, I like him. Oh I like this one. It looks like I don't know Again, I can't really tell you the full process behind it, but it's cool. I like it I'm obviously just cockpit markers blocking out and then over the top with different colors It's cool little warrior guy. I don't know what tool he's using. Maybe Chris can explain some more down in the comments Look out for him explaining. Yeah, that's right Chris. You have to explain things now. I remember this He was making these and we were like a me bays and they were just like these hot amoeba things It's really stupidest pun ever, but it could work. He's some more characters. I really think Chris should make a comic What do you guys think? comment tell him push him. I love this one. It's so cool I really like the lighting and stuff. It's very Akira Toriyama style Lighting I think Chris that is a big inspiration for him. Yeah, some a little fighter girl. She's cool I like her. Oh This was a cool guy Chris made this and then I was like you should do like props around him and stuff like practice I'm doing props and I think you might not be able to see it that well But there's some really cool props here and then I think he colored and did this digitally like scanned in fixed it up Like this guy you get like a whole thing about him. You understand who this character is He's a little slimo challenger kind of thing for sure You know that he's like the asshole of the story I think Chris was trying to get more into like doing backgrounds I think we've all been there where we're like I need to do start doing backgrounds And I think he's done a really good job here I think he is really good at doing drawing backgrounds, but you know, I'm super biased because I love him This was a sketch a little illustration He did for his dad because his dad loves gardening So I think he did this to make like a birthday card or something And then he ended up with like sort of more this design and I think they're both really nice I think this is a really good illustrator style for maybe editorial illustration I'll here are some more blob challenges. I really like this sonic one the pops of color really make it work More blobby designs and a really cute little character girl here, and I really like her. He's done this with red ink pen Massive doodle page just probably experimenting with that brush red ink brush pen a little bit more I really like pages like this because I think you can see like the folk process behind the art Like what's going on in the head? How are they put in line down? You can see their mind working something out My lecturer used to say that art is sort of like visual intelligence If you can see like somebody working out something you can kind of see how their mind is processing the information I really like that.  Love it And obviously this this character is so cool. I would love to see a comic of her I want to see more of her with her little like twig twig weapon I think like this would be me if I was like a warrior. It's like everyone else has massive swords. I just have a twig Classic more little doodles. I Love these ones little doodles random guys. I think this is an onion dude in shorts And I think that is Chris's Twitter picture or something because I recognize that one very much He's a little doodle. I think this was for like Practicing editorial illustration like it wasn't for anyone, but I think he was practicing looking at articles and Drawing out things for them. This is an awesome guy. This might be an inktober. Not sure No, I think these are gray Copics as well, but yeah monochrome monochrome colors. I love this one This is one of my favorite ones. He's done. I think it's just really cool You can imagine this girl with these three skulls and like maybe they're different personalities telling her to do stuff And she has the powers to summon them. I don't know. I think there's just never noticed the little dudes face here I think Chris's Characters always invoke like a story for me Anyway more guys. It's so strange. You just look at one thing he's done for me And I'm like you're so good. This whole thing is just me going. Yes, so good Chris and everyone's like shut up We get it you love him That is orange ink pen Just really nice character designs You could see a story of this guy like he's the hero of the story and he's in training and Well, maybe a guy see different things to what I see. I don't know love to make a discussion about Chris's work I'll have all of the links for Chris's work down below So he has Instagram and Twitter which he mainly uses so you can go check him out there. I like this guy He's awesome. I can see all these like warrior guys being in a similar type of story Oh something something special for your eyes here little slippery lizard man It's creepy, but it's good creepy, you know what I mean? It's just the right amount of creeps I like this one's funny the proportions are really low for me nothing on that page because it kind of bleeds through But I guess that's quite messy. I think he was trying a different style here, and I'm can't remember But I think he really likes this one Ice cream dude, I think this was like a bit of a prompt I think I gave him a prompt for this and I was like do a guy and he has a little troll and they're selling ice cream and it's like As if they're in a fantasy world and this is kind of a medieval period time and these are two guys collect ice cream This guy is like a frost monster, and he keeps the ice cream cold Just cool stuff little wizard guy I really like this style of coloring as well with the Copics and the pens And I think all of these things were trying to come up with a story So this could be like sort of a wizard's character within the book A little quirky wizard guy. Maybe they're all at wizard school wizard school. So just harry potter, but different Again, I'm not reiterating what he's told me. This is just what I'm thinking Some more. I think that's the same guy practicing his widget. His widget magic everybody I'm gonna write a book about a widgaging school, and you can't get me because it's widgaging. It's not wizarding I'm so sorry. Yeah, I think we're nearly at the end of this one. This is a this is Morrison's car park by the sea So this is in Gibraltar. I don't know if you can see that very well with the pencils Some naked dude on a super awesome skateboard some random doodlies I really like them. Oh, I think here you can see again like the four processes behind The work. I can't I don't know if you can see it that well, but it's pretty funny Some more pencily dudes I think here he was taking that wizard blue wizard face guy and Doing some face references because I think he wanted to make more of him like do a story about him And yeah some turnarounds of that dude, which is really cool to see And some more maybe pushing the character slightly vote now a b c d e f which is your favorite of that kind of character More doodles. I think we're coming to the end of it now. Look how cute that guy is So cute and that's the end. Tell me what you think tell Chris what you think more importantly down below And that'll be really cool and you guys should let him know what you think because I think his stuff is amazing And this has been a totally cheesy self indulgent boyfriend sketchbook reveal, but I'm sorry not sorry as well Because I really liked it. Okay. So there's a shoe there now because my cats were fighting and then like the shoe went that way and Ignore the shoe, but thanks for watching guys. Please let me know again what you thought and I will catch you on wednesdays I'm gonna do paint over challenge on wednesdays and hopefully a vlog on fridays. So I'll see you then. Bye


The brain is composed of 100 billion brain cells called neurons. These neurons require a steady diet of healthy fats, proteins, complex carbohydrates, and micronutrients in order for your brain to be sharp and alert. The brain is no doubt the most complex and brilliantly designed human organ, but what it needs to maintain its brilliance is surprisingly simple. Here are the five items that keep the brain at its very best. Water, Magnesium, Vitamin E, Vitamin C, and B vitamins. First and foremost is water. Our brains depend on proper hydration to function optimally. Brain cells require a delicate balance between water and various elements to operate. When you don't drink enough water, that balance becomes distressed, which makes it hard for us to keep focused and stay alert. Dehydration can impair your short and long-term memory function and can even affect your brain's ability to perform simple arithmetic. Next up is magnesium. Magnesium is essential to the brain by providing protection from neurotoxins, substances that are poisonous or disruptive to nerve tissues. Supplementing with magnesium can improve multiple aspects of memory and learning. Next up is vitamin E with mixed tocopherols. Vitamin E is an anti-icin and it protects cells in the human body from molecules called free radicals. Vitamin E slows down cognitive decline and studies have shown that when used with vitamin C it can delay the progression of Alzheimer's disease and or prevent it from occurring in the first place. Next is vitamin C. Vitamin C is essential to the production of neurotransmitters. Neurotransmitters impact our ability to focus, concentrate and remember. They also control our mood, cravings, addiction and sleep. Last but not least are the infamous B vitamins. B vitamins influence the production of dopamine and serotonin. Dopamine is commonly associated with the pleasure system of the brain, providing feelings of enjoyment and reinforcement to motivate us. Serotonin affects the functioning of our cardiovascular system, muscles and various elements in the endocrine system. There you have them, water, magnesium, vitamin C, vitamin E and the B vitamins. Wake up your brain with these five elements and keep it razor sharp for years to come. If you have any questions or would like more information on these products, please contact the Professional Supplement Center where our knowledgeable staff will be happy to help you.