with that said, let's begin our study here in the gospel of Mark. We're in chapter 7. What I'll be doing is I'll be taking you from verses 24 to verse 30, but I'm going to also take you into Matthew chapter 15 to give you some things that Matthew gives to us in that book. It's the same particular event from two different perspectives, and you'll see the some of the things that Matthew adds in just a moment. So let's begin reading here in Mark chapter 7. We'll begin reading at verse 24. I'll read 30, and we'll be going through our study here. Now my my microphone's been cutting in and out, so just be ready. All right. I'm old and I'm still goofy. Beginning at verse 24. From there he rose and went to the region of Tyre and Sidon, and he entered a house and wanted no one to know it, but he could not be hidden. For a woman whose young daughter had an unclean spirit heard about him, and she came and fell at his feet. The woman was a Greek, a syrophoenician by birth, and she kept asking him to cast the demon out of her daughter. But Jesus said to her, let the children be filled first, for it is not good to take the children's bread and throw it to the little dogs. And she answered and said to him, yes, Lord, yet even the little dogs under the table eat from the children's crumbs. Then he said to her, for this same go your way. The demon has gone out of your daughter. And when she had come to her house, she found the demon gone out and her daughter lying on the bed. So let me give you an introduction. Let me lay a context, a foundation. So you can see why this is such an amazing work, because this woman who approaches Christ is a syrophoenician. And a syrophoenician also called by Matthew, a Canaanite, well, it's an unusual thing for this woman, a syrophoenician, to actually approach the Lord Jesus Christ. So in order to understand that, I have to give you a brief introduction that relates to the history of Israel as it pertains to who they are as they have been called by God and the Gentile world. You see, during the time of Christ, Scripture actually divided humanity into two categories. There was Jew and there is Gentile. That was the two categories all humanity is divided into.  And so the Jews are spoken of in Scripture in a different way than the Gentiles are in the Old Testament especially. The Jews are referred to as the people of God. And the Scripture speaks of them as having great benefits, great blessings that have been given to them by God. When Paul spoke concerning these things to the Romans, he spoke on the blessings that God had given to Israel. For example, in Romans chapter 3 verses 1 and 2, he had asked the question, what advantage then is there in being a Jew or what value is there in circumcision? He goes on to say, much in every way. First of all, the Jews have been entrusted with the very words of God. And so the Jews were entrusted with God's Word. That is a great benefit because the God of the universe who keeps things to himself has revealed himself through his Word to his people. And so that's a great advantage obviously. They are not reaching for him in the darkness. He's already has revealed himself. Later on in Romans in chapter 9 verses 4 and 5, speaking of the people of Israel, he says, theirs is the adoption to sonship. There's the divine glory, the shekinah glory, the covenants, the receiving of the law, the temple worship, and the promises. There's are the patriarchs, Abraham, Isaac, Jacob, and the rest. And from them is traced the human ancestry of Messiah, who is God overall, forever praised. Amen. So he speaks concerning these people, the people of God with all of these blessings and benefits. But in contrast, the Gentiles are regarded as pagans. In Scripture, they are actually spoken of as godless. In Ephesians chapter 2 verse 12, Paul said that the Gentiles were separate from Christ, excluded from citizenship in Israel, and foreigners to the covenants of the promise. He said they are without hope and without God in the world. They are pagans. So the idea that a Gentile could be saved without first becoming Jewish was unthinkable. It was so embedded in the thinking of the people of that age in the Jewish culture especially. It was so embedded that the idea of a Gentile being saved without first becoming a Jew was unthinkable. And even the early church struggled with this idea. A good example of this occurred in the churches that are known as the Galatian churches. The Galatians had been influenced by Jews who insisted that circumcision is necessary for you to be saved. So Paul was led by the Holy Spirit to write the book of Galatians in order to correct that error. And he made it clear that these people who are referred to as Judaizers are trying to bring you into becoming Jews. These Judaizers entered the church to bring them into bondage. He said they spied out their liberty in Christ. They sought to bring them under the law of Moses. And so Paul corrected this. He said to them, the Galatian churches, if you're led by the Spirit, you are not under the law. He said that in Galatians 5.18. This is such a difficult situation that the church had the first council of churches that convened in order to rule on that question as to whether or not a Gentile male needed to be circumcised to become a full believer in Christ. And you see that account in both Acts chapter 11 as well as chapter 15 of the book of Acts. And so in Israel, the thought that salvation was for the entire world was simply rejected. Non-Jews were outcasts. They were pagans. They were outside of God's kingdom. They were outside of God's promises. And that was such a common belief that to disagree with it was to be just recognized as somebody who believed in error. The problem with this is that the religious leaders had forgotten what their purpose was. What is the purpose of the nation of Israel? Well, there to be God's witnesses to an unbelieving world. In the book of Isaiah 42 verse 6, Isaiah writes, I the Lord have called you in righteousness. I will take hold of your hand. I will keep you and will make you to be a covenant for the people and a light for the Gentiles. It was not God's intent to leave the world in darkness. It was God's intent to bring salvation to it. And he intended to save not only Jew but Gentiles alike. In Galatians 3, 8, and 9, Paul says the Scripture foreseen that God would justify the Gentiles by faith, preach the gospel beforehand to Abraham, saying all the nations will be blessed in you. So then those who are of faith are blessed with Abraham, the believer. Now the gospel was first to be given to the Jews. And that's what Jesus had instructed his apostles to do when he first sent them out to preach. Matthew chapter 10 verse 6 tells us that he had said to them, go rather to the lost sheep of the house of Israel. The first thing they were to do is to speak to the nation of Israel. His ministry centered on reaching Israel, but his goal was reaching the world. Isaiah 65 1 says, I revealed myself to those who did not ask for me. I was found by those who did not seek me to a nation that did not call my name. I said, here I am. Here I am. So God's saving love was not only for one nation, God's saving love is for the world that he created and his desire is to reach both Jew and Gentile. His desire in Scripture is to show his mercy to all. In 1 Peter 2 verse 10, the apostle Peter said to the Gentiles that you once were not a people, but now you are the people of God. You had not received mercy, but now you have received mercy. So in this story, when the woman came to Jesus, Jesus made it clear, I have a priority. I'm to accomplish redemption in Israel. And then I'm going to send my disciples to tell the world that redemption is possible for them. And so this is what we're seeing here. This particular incident occurs immediately after his discussion concerning the things that are clean and unclean, and that was intended to reveal Jesus' disregard for the Pharisee concept of defilement. Jesus is about to minister to a woman in the pagan environment of Tyre and Sidon. And so that obviously would be the appropriate application of his teaching that he had just recorded. Now, it says to us in verse 24, from there he arose and went to the region of Tyre and Sidon. He entered a house and wanted no one to know it, but he could not be hidden. And so Jesus has been ministering in northern Israel for some time. He travels northwest to the border region of Tyre and Sidon. The region is located northwest of Capernaum. It's in what is called modern Lebanon. So he goes. He withdraws to the region as we've been looking at the passages prior to this. There are two basic reasons he's doing this. Jesus had left to rest with the disciples and the rest had been interrupted. Mark 630 and 31 tells us that the apostles gathered around Jesus and reported to him all they had done and taught. Then because so many people were coming and going, they did not even have a chance to eat, he said to them, come with me by yourself to a quiet place and get some rest. So they are leaving this place where they've been going about 35 miles to the north in order to rest. That's one of the reasons, but the second is that he had been pressured by the crowds. They wanted to crown him king. We saw that in John 615 when it says Jesus therefore perceived that they would come and take him by force to make him a king. He departed again into a mountain himself alone. Well, he's left and he's entered into a house and notice the verse 24. He wants no one to know it, but he cannot be hidden. He couldn't be hidden from the crowds. You see by this time Jesus had become very well known throughout the region. In Mark 3, 7 and 8 it reads that Jesus withdrew with his disciples to the sea and a great multitude from Galilee followed him and from Judea and Jerusalem and Itamiah and beyond the Jordan and those from Tyre and Sidon. A great multitude when they heard how many things he was doing came to him. So again, he's about 35 miles to the north of Capernaum, but he still cannot escape notice. Those who had seen him perform miracles had told the people in that region what he had done and now there he is. He's amongst them. He's there for a time of rest, but the people found out that he's there. So his time of rest is very short lived. Well, he's in this house. There's a woman who comes to him and she's crying out to him. Now he's being both pursued in one way and rejected in another in another in Israel, but the Gentiles are now seeking him. It's like what it says in Isaiah 45-22, turn to me and be saved all you ends of the earth for I am God. There is no other. And so he's in this house and it says to us in verse 25, a woman whose young daughter had an unclean spirit heard about him and she came and fell at his feet. The woman was a Greek, a Syrophoenician by birth and she kept asking him to cast the demon out of her daughter. So the woman is referred to and I'm going to give you a little information on this. She's referred to in various ways. One, she's referred to as a Greek. When it says a woman was a Greek, that was the basic way of just referring to her as being non-Jewish or a Gentile. She's referred to as Syrophoenician. That's because of the country that she's living in. Syria had a next Phoenicia and so it's now Syrophoenicia. So that's the location. She's an ancient Lebanon. So Mark speaks of her as we just read as a Syrophoenician but this is where it gets a little more interesting because Matthew calls her a Canaanite. In Matthew 15, 22, behold a woman of Canaan came from that region. Now let me give you a little bit of information referring to that. Every one of the gospels, when you read your Bible, every one of the gospels had a purpose that it was written to achieve. Sometimes we don't realize that. We think that the Bible is just a book you pick up and read and that's true, you do. But there are purposes for each gospel. When Matthew wrote his gospel, Matthew wrote it as an apologetic. He wrote it for the Jewish readers. That's why when you read Matthew, you find a lot of scriptures there that are Old Testament references. Why? He was writing specifically to Jewish readers and so it's called an apologetic. When Mark was writing, he was writing primarily for Romans, a Gentile audience and that's why he'll explain certain things because these are non-Jews that he's intending to write to. It's to the Romans. Luke wrote in order that he might be able to reach the Greek and the Greek philosopher and the Greek thinker of that day and John wrote in order that he might deal with a problem that had taken place within the early church, a philosophy called Gnosticism that had entered in and in doing so, the way he writes is different than the other four gospels. Each one had a purpose. That's why the written Matthew wrote as an apologetic and so he uses the term Canaan, a Canaanite, whereas Mark speaks of a syrophoenician. Now why the difference? Well, seeing that Matthew was writing to mainly Hebrew readers, he was reminding them of their history. Canaanites were ancient enemies of Israel. So Matthew uses this name to remind them. It's to remind the reader of the problems that Israel had had in her history with Canaanites. In Israel's history, Canaanites were enemies and were constant military threats. They were also constant seductive influences on Israel through idolatry. In 1 Kings, for example, there's a king by the name of Ahab. King Ahab married a princess of Sidon. Everybody knows her name Jezebel. I wonder how many mamas, when you had a little girl said, ah, this shall be Jezebel. Most, even today, when people don't know the history of what that means, what a Jezebel is, well, we still don't use that name anymore than the boy being born is never named Judas. There are associations with names and sometimes we forget the history. Well, Jezebel was a Sidonian princess. She was the one who introduced idolatry in a very strong way through her husband, a king of Israel by the name of Ahab. And it was through her that idolatry became rooted in the nation. In 1 Kings 21, 25 and 26, it says there was never anyone like Ahab who sold himself to do evil in the eyes of the Lord urged on by Jezebel his wife. He behaved in the vilest manner by going after idols like the Amorites the Lord drove out before Israel. And so this seduction to idolatry was specifically from Canaan. In Israel's history, at one time had been just the nation of Israel, but it was divided into two tribes, into two nations, two kingdoms, the northern and southern kingdom. And the division of the nation came because of a king by the name of Solomon, because of Solomon's foreign wives. In 1 Kings 11, verse 3, speaking of Solomon, it says he had 700 wives of royal birth and 300 concubines and his wives led him astray. I want you to think about that for a minute. 700 wives and 300 concubines. And he was the wisest guy. I'm not sure about that at all. Actually, most of those, the overwhelming majority would have been brides that were taken that he probably never even had relations with that were part of agreements that he had with different foreign nations and all. And they were part of the covenants that he had established with them. But many of these wives were Canaanites. Now the Jews did not necessarily have good relationships with Canaanites. That's because they were so used in seducing the nation away from God. And so they normally didn't have good relationships with Canaanites. And that's why it's significant that Matthew refers to her not as a syrophoenician but as a Canaanite. But it gives us something else that I want to touch on before we look at the passage with any depth. That would reveal something deeper to us. That reveals to us that Jesus came to save people from all walks of life. Because when you read Matthew's Gospel in his genealogy of Jesus Christ, two of the women that are mentioned, Tamar and Rahab, are Canaanites. That reveals that God intended to save people from all nations, all tongues, and all tribes. Even those who had practiced idolatry and even those that are in this room right now. He intended to save the world. And so when you read this, Matthew wanted to remind us of the fact that God, his love is so great that he intended to save the world through the giving of his son Jesus Christ. He wants to save people from every nation, every tongue, every tribe. And this woman becomes the type of those who will come to Christ from the world. The message of the gospel is for all mankind, not just the nation of Israel. In Romans 9, 25, and 26, as he says also in Hosea, I will call them my people who are not my people and her beloved who is not beloved. And it shall come to pass in the place where it was said of them, you are not my people. There they shall be called sons of the living God. And so this woman comes to Christ, this woman of Canaan, this syrophoenician, and she falls down at his feet and she asks him to deliver her daughter from demon possession. And what she's doing is she's becoming a tremendous example to us in a variety of ways, but including intercessory prayer. And I want to give you some insight into that by turning you to Matthew chapter 15 for a moment. And I want you to look at Matthew with me so if you haven't turned there already, please turn to Matthew chapter 15. It's a book to your left if you're not used to turning your Bible yet. Matthew 15. And I'll begin reading to you at verse 21. And I'll read to verse 28. Jesus went out from there and departed to the region of Tyre and Sidon. Behold, a woman of Canaan came from that region, cried out to him saying, Have mercy on me, O Lord, Son of David. My daughter is severely demon-possessed. But he answered her not at word. And as disciples came and urged him, said, Send her away, for she cries out after us. But he answered and said, I was not sent except to the lost sheep of the house of Israel. Then she came and worshiped him saying, Lord, help me. But he answered and said, It is not good to take the children's bread and throw it to the little dogs. And she said, Yes, Lord, yet even the little dogs eat the crumbs which fall from their master's table. Then Jesus answered and said to her, A woman great is your faith. Let it be to you as you desire. And her daughter was healed at that very moment. I want to share with you a few things about prayer. Because we see the way she speaks to him and the response of Christ. And as I was preparing this message, I couldn't help but think about the elements of prayer that we see here. And how can we learn from this as she approaches him? Again, this is a Gentile woman. She's not part of the covenant promises of Israel. She's far from them. She's despised as a pagan woman. And yet she's praying. A pagan is praying to God. And does he answer? Well, we see that he does. And so she becomes a tremendous example of intercessory prayer. And you see, in this gospel, he gives us various aspects. Matthew gives us various aspects we can learn from. First, for example, when we pray, we need to know that God is able to answer our prayer. We need to know he's able. In Hebrews 11.6, it says, without faith, it's impossible to please God. Because anyone who comes to him must believe that he exists and that he rewards those who earnestly seek him. We don't just say, Hey, big guy, can you, if you're there, can you hear me? We don't do that. Believers don't do that. We know you on a shadow of a doubt that we have a God who is able to answer our prayers. This woman believed that Christ could and would answer her prayer. So we need to know who we are to approach. God has given us an invitation. Call unto me. I will answer thee. I'll show you great and mighty things which thou knowest not. Jeremiah 33.3. Call unto me and I will answer thee. God gives us an invitation. You can come to me and I promise you, I will answer you. And not only will I answer you, I'll show you great things, things you don't even understand yet. So we approach the one who can meet the need. We approach a personal God who cares. Like it says in Psalm 50, verse 15, call upon me in the day of trouble. I will deliver you. You shall glorify me. In 1 Timothy chapter 2, verse 5, there is one God, one mediator between God and men, the man Christ Jesus. So we approach the one who can meet the need. That's what she did. And she approached him and she spoke to him and she gave him a title that the Jews knew was the title of Messiah. She said, Son of David. She knew that Jesus is a descendant of David and therefore she called him by a Messianic title. And so first we know who we're praying to. Second, notice she cried out to him. Mark 726 says she kept asking him to cast the demon out of her daughter. She cried out repeatedly is what that means. She cried out to him and kept crying out. So this gives me another insight into prayer, earnest persistence. Prayer is not just an apathetic, half-hearted attitude. Well, maybe you will, maybe you won't. I'm going to give you a shot. Let's see if you can. That's not how you speak to God. There's this attitude of persistence. Lord, I know this is in your will. I know you're able to do this. Lord, I'm going to hold on and I'm going to ask you and I have to keep asking. I'll keep asking. It's not a lack of prayer for me to repeat. Very often it's a demonstration of faith. It's not a lack of faith. It's a demonstration of faith. It's like what it says in Matthew 7 verse 7, asking it will give unto you. Seek and you will find. Knock and the door will be open to you. When the word ask, seek and knock are used in the Greek, what it means is keep on asking. Keep on seeking. Keep on knocking. Don't stop. There are people who stop. Well, I asked you a couple of times you didn't listen. No. Well, we'll see this in a moment. Persistence is an element of prayer. It reveals a heart and a desire. Somebody once said prayers not felt by us are seldom heard by God. If we're just saying it and we don't mean it, then what's the point of saying it? But James 5 16 says the effectual fervent prayer of a righteous man avails much. In Psalm 77 2 in the day of my trouble, I sought the Lord. My hand was stretched out in the night without ceasing. My soul refused to be comforted. I didn't give up. I held fast. I kept saying, God, I know your word. I know that you can. Lord, I'm asking that you will. And you know, sometimes these prayers that you pray, they may last weeks. They may last months. And sometimes there are prayers that may last a lifetime. A constant prayer. And you think, why would I waste my time for a whole lifetime praying for something that all I ever heard was the word no in response. I've read stories of great preachers who were evangelists who had traveled the world for the preaching of the gospel of Jesus Christ, who had a son that that was not following the Lord.  Look at his life, Lord, bring my son to faith. And finally, this great evangelist died. Never saw his son come to faith in Christ. He died. But the day that he died, and then they had his funeral service at the memorial service, the son came to faith in Christ. So that that man didn't see it on the face of the earth. But he saw that it was answered when his son entered heaven. Keep praying. Don't give up. Don't give up. Hold fast. There are a lot of people who maybe that's not faith. That's not faith. You read the scripture, you see God's word, what he says, he can do what he will do, how he does it. I'll show you some things in just a moment and you pray. Father, my son doesn't know you. Father, I'm concerned for my daughter. Father, there's this need in the family. Lord, there's an illness. Lord, I'm asking in Jesus' name. I'm asking you because Lord, I know you can and I know who I'm speaking to. And I'm just asking in the name of Christ. And that's what you do. You leave it in his hands, but you know that he can and that's what matters. There's another thing about this is she recognized her own ability to solve the problem. That's why she says, have mercy on me, oh Lord. Mark reveals that she came and fell at his feet. She did so in worship and in humility. She recognized her own helplessness and she cried for mercy. Somebody said, when you go to God, ask for mercy and not for justice. A mother went to the emperor Napoleon to ask for mercy for her son. He had committed some breach of the French law and the emperor replied, Madam, this is the second time the boys offended. Justice requires that he should die. She answered, I didn't come to ask for justice. I beg for mercy. He answered he does not deserve mercy. Sire, she said, it would not be mercy if he deserved it. I asked for mercy. And when she put it that way, the emperor replied, well then, I will have mercy. In Deuteronomy 431, the Lord your God is a merciful God. And Psalm 86 verse six here, my prayer, oh Lord, listen to my cry for mercy. She says, my daughter is severely demon possessed. So she understood her need and she presented very specific petition. In Mark 726, it says she begged Jesus to drive the demon out of her daughter. When you pray specifically, it reveals you've taken time to think about what you're asking. It reveals a genuine faith that God will move on your behalf. But notice his response. He answered her not a word. He didn't respond at all. He answered her not a word. Here's something else to keep in mind, and I've already alluded to it, prayers are not always answered immediately. Sometimes the Lord allows us to wait to refine our faith. In Psalm 40 verse one, the Psalmist said, I waited patiently for the Lord, and he inclined to me and heard my cry. I waited patiently. Isaiah 40 verse 31, those who wait upon the Lord will renew their strength. They will mount up with wings like eagles. They will run and not grow weary. They will walk and not faint. Sometimes the Lord just gives us opportunity to just keep praying and to learn what patience is. Nobody likes patience. Who wants to learn to be patient? Nobody. Somebody once said, the only person who really prays for patience is doctors. You don't want it because very often what happens is your patience is tried. So what we want from God is an immediate response. But here he answered her not a word. Now by remaining silent, Jesus wasn't being cruel. You might find this interesting. Not only was it a benefit to her, but it's also a benefit to those who are watching because he's putting her faith on display for all to see. Remember when Jesus fed the multitude, many wanted to crown him king because he fed them. That was not pleasing to him. But here the woman's faith is real, and Jesus is showcasing it for those around her. So it says in verse 23, he answered her not a word. So notice the response of his apostles, his disciples came and urged them saying, send her away. What happens here is they're misreading the Lord's silence. They're assuming that he's rejected her request. Put yourself in their place for just a moment. She's already violated their rest, not to mention the fact that she's violated their social and religious norms. She's a loud woman. She's a pagan. She's undoubtedly an idol worshiper. And during the day of Christ, no self-respecting rabbi would tolerate such a woman. So we need to be very careful not to judge God's silence as rejection. There are times when our prayers are not answered in the way that we desire. And as I was thinking about this, I thought, well, what about prayer? What is it that we should know about it? Well, sometimes God may seem to be silent just because we're not asking for his help. We may think that he knows everything. I don't need to ask him. He knows already. James chapter 4 verse 2 says, you have not because you asked not. When I was a little boy and I was being taught something about prayer, I still remember in my catechism class how I was taught that God knows everything.  I was taught that at the age of seven, that the God of the universe that I worship or should know is a God who knows all things. And I still remember, there was a time in my life as a little boy, I still remember doing this, that I would go to bed at night and I was taught that you should pray at night when you go to bed. And I was laying in bed. I can still remember the exact words I used to say at the age of seven. I would say, God, I know you know everything. That means you would know what I would say if I were to say it. Seeing that you already know what I would say if I were to say it, good night. That's how I prayed, because if he knows everything and he knows before I say it, then why should I say it? And I prayed like that for a long time, not understanding. You have not because you asked not.  He wants you to express it so you own and understand it yourself. And so you have not because you asked not. Well, sometimes prayers are not answered because they're selfish. Because in James chapter four, verse three, he continued by saying, you ask and receive not because you ask amiss, that you may consume it upon your own lust. So you're asking wrongly because you have the wrong motives and that's why you don't receive. One, you're not asking, but two, you're asking with the wrong heart. Sometimes God is silent because we're involved in sin and are unrepentant. We're just continuing in sin and don't really care about it. And yet once in a while we pray. Well, Psalm 66, 18 says it like this, if I regard iniquity in my heart, the Lord will not hear me. Sometimes I may lack faith and just stop praying. In Mark 11, 24, Jesus said, I say to you, whatever things you ask when you pray, believe that you receive them. You'll have them. But I give up. I lack faith. Sometimes I'm simply praying contrary to God's revealed will in his word. In 1 John 5, 14, this is the confidence that we have in him that if we ask anything according to his will, he hears us. I've shared this more than one time, but it always comes to mind in this how a young woman was in my office many years ago now. And she said, I wanted you to pray for me. And I said, of course, what can I pray for? She says there's a young man. She was a high schooler. She says, there's a young man in my high school that I want to go out with. And I would like you to pray that God will have him ask me out. I'm a divine matchmaker, I guess. And I go, I said, really? And she says, yes, they said, well, may I ask a simple question of you? And she says, sure. I said, is he a believer in Christ? She says, no, he's not. I said, why would I ask God? Because God says in his word, you're not to be unequally yoke together with an unbeliever. It's opposed to the will of God for me to pray that. Why would you have me do that? She says, because God said, I can ask anything and he'll say yes. And that's how some people still do this day thing. They may be doing something that is very wrong, but doesn't the Bible say that I can ask? And whatever I ask, I'll receive. Believe that I receive it. I'll have them. No, you're praying out of the will of God. You need to know what the Scripture has to say. You need to know the tenor of Scripture, the things that God has pleased with. And that's how you pray according to his will. And so those are reasons that sometimes our prayers may not be answered. In the case of this woman, none of these things apply to her. You see, what happened is the disciples have misinterpreted his silence and it's their desire to send her away. Now, when this woman had come to Jesus, Jesus already had a priority. And I mentioned that earlier. It was to accomplish redemption in Israel. And then he was going to send the disciples to tell the world. But he answered. And that's what he says in verse 24 here in Matthew 15. I was not sent except to the lost sheep of the house of Israel. She came and worshiped him saying, Lord, help me. He reminds his people, actually, these are the many speaking to she overhears. He reminds them of his primary mission, which is to reach Israel. The Gentiles were of secondary concern in his initial ministry. But she comes anyway and she asks for help. And therefore in verse 26, he responds to her and he says, it's not good to take the children's bread and throw it to little dogs. Now, at first that sounds kind of insulting, doesn't it? He used an illustration that you would understand though. He's speaking of little dogs. Little dogs are the household pets, the household pets that may be there under the table waiting for the meal to end. There were two basic words that were translated into the single word dog. There was one word that spoke concerning wild dogs that used to be around the dump and all. And they would scavenge whatever. They were very vicious and greatly feared by the Jews. And that there's a word that is used for that particular kind of dog. And then there's a second word that is used. And that's for puppies or house dogs. The word that Jesus uses is not for these vile dogs. It's for the puppies. It's for the house dogs. It's for the household pet. And so he uses the illustration here about the household pets that wait underneath the table for a meal to end. He's saying it's not right to take the blessings that have been promised to God's people and to give them to people who for centuries have rejected God and encouraged God's people to do the same. So he confronts that and she says in verse 27, yes, Lord, yet even the little dogs eat the crumbs which fall from the table. So she's refusing to be turned away knowing that the God she worshiped were powerless to help her. Her love for her daughter and belief that Christ could heal her gave her strength to hold on. And so her response gives us one more aspect of prayer and that is humility. She knew she was sinful. She knew she was unworthy of asking for or receiving. Yet she still asked. I'm not asking for the children's bread. Only give me what they leave over. That will be enough for me. It's been said she knew that a crumb of God's power is more than enough. And Jesus commends her faith. Oh woman, great is your faith. Let it be to you as you desire. And her daughter was healed from that very hour. Turning back and concluding in Mark in chapter seven in verse 29 he said to her for this saying go your way. The demon has gone out of your daughter and when she had gone when she had come to her house she found the demon gone out and her daughter lying on the bed with a word from the master. That's all she needed. She went home confident. She knew he had answered her request. She arrives at home and the demon is no longer tearing her daughter. The little girl's resting in her bed. She's in peace. She's recovering from her ordeal with that demon. Her confidence delighted Jesus. It revealed simple faith in his power to set people free. And again it's been said that the Lord of glory surrendered to the faith of a woman. True faith drives us to seek mercy. It drives us to abandon idols. It drives us forsake our pride. And true faith drives us to seek his mercy. I believe and I'll close with this that the Lord has allowed us even as a nation but especially as a church that he has allowed us to have our faith tested through these things that we're going through as a nation. I really believe that. I believe that faith is being refined and our faith is being challenged. What are we going to trust in? Are we going to trust in the arm of the flesh, the arm of man? Or are we going to trust in the arm of God? We have an opportunity to make a decision. I'm not saying, and I don't want to be misunderstood, I'm not saying that we should be presumptuous and test God in ways that we ought not to. I'm not saying that what I'm saying is that I believe the core of our faith is being shaken. We have gone through so many things recently, so many things, and some have given up hope. Not every church is full like it used to be on a Sunday. Not every church is. Some are, thank God that they are, if the gospel is being preached. That's what we love to see that. But many churches have lost former members for a variety of reasons, including for the fearmongering that has been taking place for two years. I want this church to realize we're not in control, but God is. That God is able to do abundantly above all we could ask or think. And that my responsibility as a believer is to walk, hold in the hand of Christ through the shadow of death and to fear no evil because he's with me. And to know that he is with me, I can go anywhere and do anything he desires me to do because I'm never alone. And if for some reason the Lord should take me and for whatever reason he chooses or whatever way he desires, what did I lose? What did I lose? I lost nothing and I gained everything because I have prepared my life for 51 years to see him face to face. So why live in fear? I can live in confidence because I win either way. Now, I don't say that lightly. I don't. It could appear that I am, but I'm not. Somebody looks at me and says, yeah, you're old, you can die, but I'm young.  Because only God knows the hour and the moment of our death. I just want to be ready whenever that moment comes. I want to be busy doing that which the Lord has called me to do when it is my time. I don't want to look back with regrets saying, I wish, could have, should have. No, I want to be able to say, Lord, I'm laying down my trophies before you. Lord, I'm laying down everything before you. All that I have came from you. Every victory came from you. Every blessing came from you. And I just want to say thank you for welcoming me into your kingdom. And I wanted to be faithful to the end and Lord I was. That's what I want to say to him the day that I see him. I was faithful, Lord, to the end. I wish I'd have done more. I didn't, but I did what I could. And guess what? God will say, well done, my good and my faithful servant. Enter in to the joy of the Lord. It has been prepared for you. And you know what? That, that's not pie in the sky by and by. That is living by faith day by day. So I see this pagan woman and I know myself. No, I'm not Jewish. I did an ancestry thing. I'm 1% Jewish. Okay. I'm 11% Basque that I did not know. That is interesting. I've never even eaten Basque food. I'm going to have to try it. But I'm 100% a child of God. And that's what matters. Hold on. Hold on. Your redemption draws nigh. Stand and you will see the salvation of your God. Hold fast because Christ is coming and don't give up. Hold fast and watch what the Lord will do. This year, this year is going to be used by God in our lives. At the end of this year, we're going to look back and say, look at what the Lord accomplished. Look forward with faith and see what he'll do. He never disappoints and he always accomplishes more than you expected. Never forget that. And this woman came to Jesus.  Yes, I'm a little dog. I'm a puppy. But I want a crumb. Because I know a crumb from you is more than I deserve and more than I need. And maybe we ought to understand that too. A crumb from the table of God is more than we need. And it will fulfill us in every way possible. Father, we bless you.


But there's always someone saying what you're saying better than you're saying it. So what makes you memorable isn't that you said it better or your PowerPoint presentation was better. What makes you memorable and sticky in our experience with you is that you have a unique reason why this matters to you.


That'd be like an actual crash. Oh, you saw that, right? His eyes are red. All right, it's a little different. Oh, it's a lot of different. I see the difference now. Yo, are you talking to me, bro? What the heck, man? Yo, what's up with Tails, man? It's like he's in the grasp of Sonic's hands. This remake was made by John with the help of Joe. Trixie, Kid and Boo and someone on the internet. OK, shout out to them. Big thanks to the voice actors as Tails Muffin. And all right, so they're giving credit right now to those that helped create this awesome game for us. Be aware the game may close at times or create text files on the game's directory. Oh, no, it's one of these, huh? Oh, yeah, well, it is a continuation. During such an event, open the game once more or interact with the text file. OK, it seems like this is going to be it, bro. Like this is the game. OK, to move, use the arrows to jump or fly. Use a button to change the screen scale. Use F4. OK, F4. Have fun. Well, thank you, man. OK, there you go. Full screen. I'm like, dude, that's half full screen. What the heck? All right. And we begin. We begin. Oh. Oh, OK. Nice. Hey, hey. Pretty lit, man. All right, what is up, you guys? Realistic gaming here. Your boy is back. I wasn't here yesterday because it was my birthday. For those that didn't know and a huge shout out to the ones that actually wished me a happy birthday. You guys are the real ones, man. All right, so let's go ahead and begin with the Sonic XT. This is port two. It's a remake of port two or something like that. So that should be freaking awesome. OK, oh, forget the coins, man. We're going to die. Who needs a coin? It's super. Yo, the game is like it's doing the thing where it's supposed to mess up. OK, let's advance. Yo. OK, that's a very awesome transition. I feel like we've never had that in a Sonic XT game. Oh, my God. All right, all the critters, man. Oh, there it goes again. Thank you, well, thank you for having us once again. Sonic, what the heck, bro?  All right. Oh, you saw that, right? There was like a jump scare. Oh, I bet she's about to pop up chasing us right now in three, two, one. Maybe. Oh, there he is. OK, well, maybe he's not going to chase us, but we'll bump into him. What's up, Sonic? It's me, your boy, Tails, man. Here, we're walking up slowly. Oh, man. What is he talking about, bro? OK, Angel Island Zone. Oh, great, not this big. Oh, look at Tails. He's crying. That is so messed up.  OK, I would be crying too. Tails, how about a game? I'm already playing a game as it is, but whatever. For a whole time's sakes, a game within a game.  Oh, oh, yeah. Dude, I literally survived for one second. Oh, Tails, OK, we can actually all run in here. Cool. This is never before seen like we always get caught. Dude, Tails left them in the dust. This is not real, man. No way we can outrun Sonic. He actually like that. All right, we survived for 12 seconds. I just burned, dude, I just burned myself. What? OK, I guess I'm supposed to fly over. OK, this time, let's jump over the cover instead of falling straight down. OK, and it should be coming up any second now. Where is it? OK, cool. Oh, there you go. I see the freaking flames down there. No wonder that thing straight up flames me, bro. The trees have eyes. Oh, oh, dude, I thought I was dead. OK, I'm not dead. OK, nice. Oh, great. Well, why did the music change? Dude, he fell over just like in the horror movies.  Oh, my God, you see that tree made up like arms. What? Yo, tails move, bro. You're about to get cooked or not. OK, what's going on, bro? I'm a look. Oh, what? Sonic just ran past by us. It was like the ghost of Sonic or something. OK, somehow we're still alive. OK, great. Now what? Dude, am I supposed to run back? OK, it's a dead end. It was just open, though. Oh. What? What the heck was that? All right, I do recall they said the game was going to close on its own and whatnot. So there we go to that part. Let's reopen this. Dude, I was tripping. I'm like, bro, this thing better not crash on me, bro. Right. There we go. Did I swear better be a little different or something? Please don't let it be like an actual crash. Oh, you saw that, right? His eyes are red. All right, it's a little different. Oh, it's a lot of different. I see the difference now. Yo, are you talking to me, bro?  What the heck, man? Yeah, the game is all messed up. It's definitely stuff. This product is underproduced. What this product is produced by under license from Sega Enterprise. Well, did we just get copyrighted? I think we did. We didn't get copyrighted, man. This text actually popped out. Hey, are you there? Wait, what's up? He's going on. Hey, stop reading that and play the game. Yo, what? This is nuts, man. OK, I'm trying to play the game, bro. Maybe if you actually let me play the game. Help. Dude, OK, it's changing. Dude, it keeps closing. Strange. Help. Strange. God. I am God. No way. Oh, hey, they keep popping up on my screen. What the? Dude, they just keep spamming. Cannot find the what? What just happened? It crashed. And it can't find the text anymore. What is this? So strange, OK, eggs. I am God. I am God. Oh, man, OK, we call it a day. Let's just open it one more time. I feel like something's going to bound to happen. Flicky eight studios. OK, it just crashed. OK, nothing happened. And I think it's better to wait for now. It's just the beginning. Oh, OK. So I guess this is really it. All right, you guys, well, that is Sonic XC part two remake version. There is a part three or something like that. I think it's like a scary troll one or something like that. I'm not too sure I did see it, though. If you guys want me to play that part three, you know what to do. Smash like, drop a comment. Make sure to drop a yeet if you made it to the end of the video. And yeah, thank you all for watching. And once again, thank you all for the birthday wishes. You guys are the best and I will see you all in the next one.


What is up everybody? Jason here for jaskiescasefakes.com. We're giving away another three Super Bowl Squares in this 2021 Panini Donner's Optic H210 box half case number four, so this is the second half. Remember, of course, chances of Super Bowl Squares. Remember, note that common ship here, but some chances of getting some nice stuff in here as always. What's that? You have the Giants here for you? The Giants are not a good one in this? Or you're just predicting not getting spot? Definitely don't want that, I don't have them. Oh, the two best Giants in the entire product were in box one. Well, I don't know, man.  And then in the next case, we hit like a patch autograph with Tanya. And then in the third box, we hit like a Trout autograph. It was literally almost every single box had one of those big hits. So I mean, they can put those guys throughout a whole case. I don't see why they can't put some more Giants hits. But of course, I know it may not look good right now, but you never know. See what we got here in this next half of the case. There's a Lamello right there, Rajon Rondo. Nice Lamello, the rookies red, Pulsar. There you go, that's for Brian and his Hornets. Giannis Elite Dominators, Obi Toppin, Grant Riller, CJ Elaby, Jared Colver, Lights Outre Young. Do I see gold there? Is that gold? Yes it is. Yes it is. And it looks like it may be a rookie.  Out there and then Washington? I don't know if he had a great rookie here then he like broke his leg. One out of 10. Yank it with the wizards. Desmond Bain, Ant-Man. Deep Oak, and a little bit of blue. All right, first half, out of gold. Couple little mellows there. Let's see if we can get some autographs here in the second half. Cody Zeller. Oops, sorry that's not the right one. Gotta finish this one. There's a little Mello, RJ Hampton, Jaylen Brown, Tyrus Maxi, and then we got an autograph here out of 17, Daniel O'Toole. Signature Series, Calypso, Yankah. We'll be topin' a little Lulu, another Mello here. Steph Curry, Jaylen McDaniels, Campbell Walker, we'll be topin' there, Drummond, and then we had another gold here. How about this? Chris Middleton to 10. Wow, another gold. This one had back-to-back golds. So that one's gonna go to the Milwaukee Box, which is going to Yankah, and then how about another one? For the Clippers, Kauai Leonard, two out of 10, little Jersey number mojo as well. That's sick. Another one for Yankah. Nice spot, nice second half here. And then quickly, Desmond Bain, Red Pulsar, for the Grizzlies, Yokic, there's Halliburton there, Kauai, Devon Booker, nice little Mello ball there, Red Pulsar, Cassius Stanley, Ben Simmons. Yeah, gotta catch up, Eric. Gotta catch up. So I'm sayin', guys, usin' abused me today. Could be pretty hot. Isaac O'Coral, James Wiseman, James Wiseman, that's who didin' with me, Yannis, Robert Woodard, and LeBron James. All right, so in total, let's say we only had two live autographs, one redemption, or one points. And then this half here had three golds. But like I said, with retail like this, each two is kinda tough, but you never know what might pop out. This one did have a couple of golds here, including a Denny of Dees, so it was pretty nice. A Mello, a Mello, a Mello. So there you go, guys. Again, now, of course, I'm gonna ratomize the names, and we'll give away those Super Wolf Squares, Super Bowls, and top three are in, guys, so we'll take this list. Two and a one, three times, and then top three are in, guys, three times. One, two, three. Three times, three, three. D-MAC, Matt, and Tris, congrats after three times. There you go, top three are in. See, these are in the squares. So there you go, remember, there's more ways to win, guys. You're guaranteed a square if you bind to those big mixers, or bind to other ones where you give away two there, give away another two here, another two here, another three here, one there. So other ways to win, guys. Appreciate it, jaspyscasebricks.com.


Welcome to PRDV 301, the Sailor Foundation's Introduction to Paralegal Studies. This course is part of our professional development program of study. The courses in this program are designed for adult learners who want targeted skills they can immediately apply in a professional setting. In this course, you'll get some background on the origin of law in the United States and also get to practice many of the skills necessary in becoming a paralegal. You'll also learn how to put yourself on the road towards pursuing that career. But what is a paralegal? In the legal world, the term can be a little ambiguous. For instance, sometimes it is used interchangeably with legal assistant. In this course, we'll pull back the curtain and show you exactly what a paralegal does and how they fit into a legal organization. We'll also talk a little bit about the legal system in the US. The United States was founded on the concept of federalism, which separates power between state, local, and federal governments. Understanding the relationship between these tiers of legislature is really important to recognizing how laws are made, enforced, and interpreted in the United States. You'll also learn about where the principles behind American law came from, the English system of common law. Each of these different levels has their own lawmaking body, known as a legislature. They also each have their own court system that deals with the interpretation and application of the law. In this course, you'll see how these two distinct branches work together and how each of these sources of law contributes to the entire body of law. Paralegals play a vital and growing role in the practice of law in the United States. By the time you finish this course, you'll have the knowledge and skills that will help you start down the road to this exciting career. The first steps in your journey are only a click away.


So this video will be kind of off-the-cuff Most of my videos are off-the-cuff, but this one is really off-the-cuff and what I want to do here is Convince you why investing in a coach is the smartest decision you'll ever make Now I know some of you see me as some sort of a hero or an inspiration And I want you to understand that even I I still cringe when I spend money on learning basically 70 80% of my Expenses to nowadays are learning or courses and mentors and people that help me You know I'm spending money when I have it. I'm spending money when I don't have it. I Just I just don't stop spending money on myself and The mentors that I had you know since age 18 When I had my first mentor paid him three thousand dollars in cash Which was all my life savings basically meant for some sort of a degree It's a funny joke You know This it was a bad investment What I mean by bad. I didn't get the results. I wanted didn't get you know the full results But I still said wow, I'm so happy. I did it Because when you invest in yourself.   I just I finish a course. They start a new course I finish another course. I start a new course I don't stop learning.   Given that you're so sure About what you're talking about So that's why it's a problem. That's why you have to keep getting info From the right minds because until you do you're not gonna move to the next level you may move Incrementally and make small adjustments, but if you really want that pal like that Shift that change you have to have a mentor who has a completely different way of thinking That can help you make leaps So there's no faster shortcut to get to where you want to get then to find a mentor who's already done it You know, you're thinking wrong because when I'm investing in myself I'm thinking about the cost of the opportunity if I don't take it.  It's all I have and it's like it's nothing. It's zero. It's not even It's such an unbelievably small amount of money But for you it's a lot so So, okay, you're focused on the expenses start focusing on The income lost How every month you don't get that coach, you know that coach that's going to help you build your business Every month you don't get that coach. You lose money Why do you lose it because you could have started gaining money from that business and growing it or like I said about the Instagram accounts the YouTube accounts every month. You're not getting attention is a month of growth. You've lost It's exponential That's why you want to get it as fast as possible And as soon as possible, you know if anything because growing on YouTube It's usually very very slow at the start so you can skip that period. It doesn't have to be perfect So a coach a mentor will help you do that It will help you start now cut through the bullshit But you can't do it on your own and I'm saying you can't because if you could you've already done it You would have done it But you haven't so what are you waiting for?  It's like I'm waiting for Something you know luck. I either wait to get so inspired. I'll have to take action or something so bad happens I don't have a choice. Why? Why would you do that when I recognize that I'm in that mentality? I invested $4,000 in a coach Immediately that helped me get focused and start making money and also took massive risks Just to guarantee that I'm gonna take action, but that you know, that's me You don't have to do that But what you do have to do is invest in somebody who's gonna help you and why am I saying it because you're now motivated If you were you wouldn't need a coach and even if you are making money. There's always a next level So never stop searching for coaches even the smartest people in the world Have coaches Michael Jordan. They said about him. He was the most coachable player in the NBA The easiest to coach the most coachable and they made a video about this just yesterday You have to be coachable. You have to be someone that can listen what people tell him and actually apply it If you're now if you're watching this video now, you're not gonna do what I say. Why are you even watching? You're trying to get my wisdom and trying to get my Information and then you don't apply what I say so adamantly Well, stop watching, you know unsubscribe and go watch fail videos Because at least it will be more entertaining I'm watching some some 20-year-old you old guy try to tell you how to live your life To really consider your motives as to the Do my motives make sense? Am I really doing what I should do right now?  So I hope that video makes a lot of sense Let me know if you have any questions and I do coaching if you don't know The first call is free 100% life-changing contact


Excellencies ladies and gentlemen, it gives me great pleasure to participate in this press launch of the publication by the United Nations Conference on Trade and Development on the impact of illicit financial flows on African development and the imperative to address the scourge in the era of COVID-19 and beyond. I commend the secretary general of UNTAD Dr. Mukisa Kitui for dedicating this year's economic development in Africa report EDA to the menace of illicit financial flows which weakens the ability of countries on the African continent to mobilize and retain domestic resources for the achievement of their development priorities, especially those related to the goals and targets of the 2030 agenda for sustainable development. Certainly there is no better moment to broaden the awareness of the scale, scope and the cost of illicit financial flows than now that the socioeconomic consequences of the COVID-19 pandemic threatens to reverse the progress made in achieving the 2030 agenda the world over and especially on the African continent. Many countries in Africa continue to make spirited efforts to recover from the impact of the pandemic even as they deal with multiple conditions including vulnerabilities of their public health systems, conflicts and climate change induced emergencies. However illicit financial flows continue to impede these efforts and undermine continental and global actions for the sustenance of SDG games and the acceleration of the achievement of sustainable development in this decade of action and delivery. They undermine the foundations of democracy and provide the financial incentives for terrorist activities and fuel conflicts on the continent. Excellences ladies and gentlemen, the enormity of efforts required to tackle illicit financial flows is evident in the many dimensions the scourge presents itself. It manifests through harmful tax policies and practices, abusive transfer pricing, trade mispricing and misinvoicing, illegal exploitation of natural resources, as well as official corruption and organized crime. These practices divert money from public priorities and reduce fiscal expenditure on public services where women and young people should be the major beneficiaries. In the context of COVID-19 such lack of resources and limited fiscal space gives an impulse to austerity which is the last thing our economies need at a time of deep recessions. As several studies have shown including the report of the high-level panel on illicit financial flows from Africa, the commercial form of illicit financial flows especially tax evasion and aggressive tax avoidance accounts for up to 65 percent of illicit financial flows. This means that we must pay particular attention to these issues which are aided by such things as tax treaties, tax havens and financial secrecy jurisdictions and indeed tax competition which leads to a race to the bottom in terms of tax rates amongst developing countries. This means that we have to pay particular attention to efforts to reform the international tax system including the G20 OECD days erosion and profit shifting project which has the stated purpose of closing gaps in existing international rules that allow corporate tax spaces to be eroded or artificially shifted to low or no tax jurisdictions. This is certainly a step in the right direction but we must agree that the reform effort still has a number of drawbacks to start with while the inclusive framework which was intended to bring developing countries into the BEPS process it might disadvantage them because they expected to sign up to all sorts of things agreed upon before the joint. Equally important if we want to enable taxation where economic activity is generated then the ongoing work must bring about effective solutions to address the taxation of the digital economy. Another important issue that we must pay attention to is the identification and return of proceeds of illicit financial flows back to countries of origin as an effective deterrent to the scourge of illicit financial flows. Certainly exposing those involved in practices that facilitate illicit financial flows and retrieving proceeds of illicit funds are efficacious in deterrent perpetrators rebuilding the confidence of the citizenry and compensating for the damage caused by such crimes. It is in this regard that I encourage all leaders whose countries are considered absolute outliers for illicit financial flows to join forces and take the responsibility of combating the scourge by insisting on the repatriation of illicit funds and their proceeds. Let me also avail myself of this opportunity to call on leaders whose countries are the main destinations for illicit financial flows to take concrete steps to prevent and stop the receipt of illicit funds into their countries and to assist in freezing, seizing and returning such funds and its proceeds already in their countries. Excellencies, ladies and gentlemen, like many other countries, Nigeria has continued to lose so much to illicit financial flows. However, we have continued to address loopholes and witnesses in our legal and regulatory regimes that made it easy for criminals to undercut our national efforts. We have signed bilateral agreements and memoranda of understanding with a number of strategic partners as well as strengthened our ability to investigate, to track, to stop and to secure the return of stolen assets. We have also reviewed instruments that established our financial intelligence and put in place policies to guide the management of recovered proceeds from illicit financial flows. Our whistleblower policy and commitment to recover looted public funds and prosecute corrupt public officials are reflected at all levels and sectors. So we call on the private sector, civil society, trade unions and professional groups to work with governments in tackling illicit financial flows. The private sector must support our efforts by adhering to international best practices in the operations and by ensuring that their tax and trade practices comply with local laws while professional bodies including those for lawyers, accountants, auditors and bankers must observe ethical professional standards and hold their members to account if they are best tax evasion and aggressive tax avoidance. While appreciating the immediate past presidents of the General Assembly and the ECOSOC for taking the initiative to establish the first global financial accountability, transparency and integrity panel FACTI, the FACTI panel, I call on the United Nations system to facilitate the establishment of clear rules and enforcement mechanisms on all aspects of illicit financial flows. These should address issues such as the elimination of secrecy jurisdictions that provide incentives for money laundering and official corruption as well as allow confiscation and repatriation of stolen assets to countries of origin. Let me conclude by underscoring that in order for the international community to live up to its pledge that no one and country would be left behind in the achievement of the 2030 agenda, we must pay closer attention to the nexus between illicit financial flows and the inability of most developing countries to mobilize sufficient domestic resources to finance their development priorities. Therefore, I am confident that tackling illicit financial flows would assist African countries which much needed development finance as well as prevent the exploitation and abuse of financial systems on the continent through criminal activities. As the economic development in Africa report on tackling illicit financial flows for sustainable development in Africa is launched today, I am confident that we will be encouraged to assess the extent to which we have tackled illicit financial flows and further strengthen our resolve to defeat the scourge. It is my desire to see us all encouraged to challenge policies that assist in harbouring proceeds of illicit financial flows, letting state actors realize that their inactions in tackling the scourge affect the lives of millions of people in Africa and deprive governments of resources required to achieve the 2030 agenda for sustainable development. I thank you all.


Welcome to the channel, everybody. I've been waiting for this moment for a very long time, almost since starting my radiology residency, and that is to finally have my home radiologist desk set up. And I am super excited to share it with you. What I've done on my previous desk set of video, which was last year, about this time, and I'll post the link up here. I'll kind of go through each component and tell you a little bit about it, why I used it, all that kind of stuff. And I'll put the details and the link to all that stuff in the description box so you can go check out some of this stuff if you want as well. So without further ado, let's go ahead and get into my radiologist desk set up. Let's go. All right, so first and foremost, I guess I'll start with the actual desk itself. I went with the L-shaped desk from Autonomous. The reason I went with this is because I had a vision. I wanted to have my radiologist set up right here and also have my current monitor and laptop set up on the right side. So when I'm working, I can just read here and either look things up on the side or whatever. And I think this L-shaped desk from Autonomous, not sponsored by the way, I think this actually does the job. It provides a perfect amount of space and really kind of works perfectly with this setup. There's no real gap between the monitor, which is what I really wanted. It works perfectly. And it's a standing desk. So I can go up as high as I want or down as low as I want as well. So for that reason, you can't really beat it. I often spend like, you know, 16 hour days sitting at this desk reading studies. And sometimes I just want to stand up and read from there. And a lot of you all probably don't know why I even have this setup. So I'll go ahead and tell you that. So I'm a private practice interventional radiologist and occasionally I read from home. What I mean by reading from home is x-rays, MRIs, CT scans, ultrasounds, all that stuff. I can actually read from all the different hospitals I work for. And I can read it on one central system using a VPN and encrypted whole server and all that stuff. So I guess we'll start with the monitors here. So I have two 27 inch Acer widescreen monitors. I think these are actually gaming monitors. They're like VG 400, I can't remember. I'll put the link in the description as I can never remember that. And these aren't that expensive, but they are gaming monitors. So they're actually pretty good monitors. The main front and center monitor I have here is the Dell 32 inch super high depth monitor. It is a really good monitor and it has to be a good monitor because I'm reading very high quality images that I have to be able to see everything on these monitors. So this monitor is not as expensive as like the $15,000 monitors I use at the hospital, but this one's gonna run me at at least 2000 or so. Luckily my company provided all this for me so I don't have to worry about that. But if you're in the market, this is actually a really good monitor. And before I set this thing up with my new desk, I was using my laptop off of this monitor and it was actually pretty good. In fact, I took my board exam on this monitor alone yesterday morning from home because that's what we're doing now. And it works out pretty well. It's a super high depth monitor, like I keep saying. I don't know why I keep saying super high depth because that's the only technological term I know, but it's a good monitor is what I'm trying to say. It also has some USB charging ports on it, which I like too, you can charge your phone while you're reading studies or whatnot. But I don't have to worry about that because I have so many outlets in here. So yeah, so those are the monitors. Obviously it's powered by this huge desktop box. This thing weighs like 50 pounds, not even lying. This thing is so heavy under here. And before you comment about the cable management, I know I literally just set this up, finished my board exam yesterday, set this whole desk up and lifted it through the computer in there, make sure everything was working properly. And I need to organize the wires a little bit better, obviously, because it's like a bird's nest under there. I'll see what I can do. But I don't like these monitor wires hanging about. And also what I forgot to mention is the two monitors on the right are on the all white Vivo monitor arms, which means you can swivel them back and forth if you need to, put them whatever direction you want, tilt them, turn them. And I like that because they're kind of like floating. You can move around underneath and it kind of clears up desk space. I don't have one for this monitor yet, but I don't know if I'm going to put one on this one because I kind of like being able to just move it up and down like this. This is how all radiology monitors are and I like this setup a little bit. So I'll probably keep that. Behind that, you see a little black box over there that is the internet, can't do much about that. The radiology system here has to be set up directly and have a direct connection via ethernet cable into the modem. So I have to have that here. It's just one of those things you have to do when reading from home. You can't have any errors. You can't have any network issues and all that stuff. So have to have that there, which is kind of annoying because it's a big eyesore, but what can you do? Next we have the basic Dell keyboard. I don't even know. Oh, it's Logitech. It's not even Dell. It's a Logitech keyboard. I don't know what model this is. They just provided it for me and that's what it is. Then we have the speech mic. This is what I dictate all of my images when I'm making my reports, when I'm reading studies, dictate here. I usually have the list of all the studies I have to read on this stream. This is where I read all the x-rays and MRIs and all that stuff. And then over here is where I have the dictation where my report is actually being dictated. And then of course I have my favorite gaming mouse. I did an entire video on this mouse, link up here in why I love it so much for radiology. I love it so much that I actually keep one at work and I bought this one as a second one to keep here when I'm reading from home. That's how much I love it. So that's pretty much my radiology desk setup. And then I guess we'll go to this side and look at what I have going on over here. So you may remember from last time, I have this Iqnix, I think it's the F96 mechanical keyboard. Love this thing. It's wireless, it's heavy duty. This thing is a beast. Did knock somebody out if you hit them with it. I have a link in my description on that as well. Love them, great people, great company. Love their keyboards, love their products. Next I have the Logitech. I think this is the MX Master 3 mouse and it has the side wheel scroll, which I love so much, especially when you're editing videos. You can just scroll down and edit pretty quickly with that. Obviously I have my 13 inch MacBook Pro powering this whole section. From here over is powered by the desktop, but this monitor and everything else is powered by the MacBook Pro. And I have that one connected underneath to this, which is a little SD card reader, three USB ports on the back, an HDMI port and a USB-C port as well. I have that connected underneath, go into that gray port, which is super easy. And then I have this 34 inch widescreen LG monitor. This monitor is connected to that MacBook Pro via one cable, one USB-C cable. That's all you need for that. And it charges the MacBook as well while it's running. I always say this monitor is a 100% game changer for me. Ever since I got this monitor last year, it's like changed my life. Having a widescreen and having a look, being able to pull up like one thing over here and then say you want to pull up like an Excel spreadsheet on the other side. I mean, this makes productivity so much better having a widescreen monitor. If you're ever even questioning yourself, just get this monitor, it's so worth it. And this monitor is also on one of those Vivo monitor arms as well. So it's kind of floating. You can do whatever you want. It really frees up the desk space over here. The one issue I have with this monitor is, I don't know if you can see, but I actually hit this monitor with my iPad. I was moving my iPad and it just ever so slightly hit this corner of my screen and this whole thing is cracked there and along the horizontal side too. So this vertical crack, horizontal crack all along the edges drives me insane. And now I have to get another one. And just so happens to be, this was right outside of the year after I purchased it. So it's no longer in that year warranty period, which is fantastic. So I'll have to drop another $800 and get another monitor. Sweet. And underneath this Hollywood sign, we have the 12 South book art for my MacBook. This is what the MacBook sits on and I can just literally disconnect those two cables, grab my laptop and go whenever I need it. That's why I love this whole setup. It's super easy. It runs this whole system and I can just grab my laptop and go whenever I need no questions asked. Everybody always asks about that Dr. Mike Hollywood Chilini sign. And the thing behind that, I was given this as a gift just to have on my desk. So ever since I started med school I think, my mom's husband got me that because he thinks I'm high maintenance as like a joke. So he calls me Hollywood and I keep it on my desk because it's funny. I have my iPad right here. This is what I watch CNBC with all the time while I'm sitting either at work or just here editing. And I forgot to show you my main thing, why I love having this monitor next to my radiology workstation because I can be dictating studies right here and just turn to my right and I have all of my stocks that I can just watch all day. I have CNBC on the iPad and I can just sit here and work from home, watch the stock market, do my work. It's like the best thing ever because I do this on my days off anyways during the week. So it might as well work and also do the same thing as well.  It is a distraction. So like when I'm really studying, really busy, I don't look at this stuff. But the main reason I love it so much is because I can use it for doodling and I don't have to really turn that much. There are a lot of restrictions on my Google browser from the hospital network. So if I wanna browse something, even if it's medically related, sometimes I can't look at it on this computer. So I can look at it on this one and have a, you know, whatever I want. MRI anatomy, MRI, whatever the heck I want, I can just have on this computer and it's just a seamless transition. Makes my workflow so much better. Other than that, we have a trophy in the back corner. That's when I finished fellowship. You can't really see it. It's like this huge glass trophy. It weighs like eight the jilling pounds. And I have my orchid. You can't see that either. It's not dead yet. It's behind this monitor. I'm still keeping it. I don't know where it looks good in this environment but I'm still keeping it and yeah, I like it. But one thing I forgot to mention was the lights and I'll show you them right now. So I have two big Philips Hue lights on the back of this monitor and the back of this monitor which I can kind of change whatever setting I want and whatever mood I'm in. So let me turn this light down and I just kind of adjust these based off of my mood essentially. So I'm really feeling this Tokyo theme lately. Gives it a super cool vibe. It's late at night. I just want something nice. Let me even turn this down lower. So you know, it's not that bad. It's a nice view. It's a nice ambient light that I can change on a whim. This is the Philips Hue light bulbs. I love this app. Or maybe I want a Sunday morning. I just go straight to here.  I go here. Lake Mist, anybody? Or I can even go to Honolulu. Or I can party in Ibiza. So that's that. So I think that, oh, I forgot my chair. The chair is unchanged. It is this leather chair I got from Wayfair. I'll put the link in my description as well. But otherwise, I think that's pretty much it. I have my 100,000 YouTube subscriber and my favorite piece of art by Shoutout Laws City. But did you have fun? It's made out of pills. Love it. Keep that in the corner as well. You'll be able to see it when I film from this angle over here. But other than that, that pretty much concludes this desk setup, desk tour, whatever you want to call it. Hope you all enjoyed it. If you have any questions, leave them in the comments below. And again, I'll put everything in the link in my description so you have access to all this stuff. If you want any of it, I think that's pretty much it. So make sure you smash that subscribe button. Follow my Instagram if you don't already. Follow me on TikTok. And I'll see you all on the next video. Bye.


Sam here late in sports cars ribbon 22 tops gilded collection baseball hobby six-box break number three random team style Here's a look again at your random results as always you can find these on the website under the results tab as well as the link That's currently in shape So good luck here everybody. Let's do the last six boxes from the case of gilded I got my checklist up. Let's do it here. We do see begin Continue to replicate we hit a wit in the first six boxer that we have a j-rod in the second. So that mean wanderers Could be sure read read would be very happy with that Here to pecs Empty There's Corbin burns for the brew crew to 99 Yes, nobody's actual birthday Chris nobody's actual birthday It's been a it's a running joke here now Zach short to 99 for the Tigers dropping a link for mosaic Thank you, honey. It's gonna drop you guys a link for mosaic basketball coming up very soon There's Curtis Terry nice one there. That is going to the twins 74 out of 99 Minnesota is I Can't find Justin I'm there. Go Justin first of the rate Rats buddy, we've got nice one here. Go on the Giants. There's an Elliott Ramos That is to $1.99 on the gold edge signature Yeah, right bad side Congrats on that one there same frame and guys just three to go on the first mosaic Break in pretty soon. Randy, a Rosaranna, four out of 50. Nice one there for the raise. Congrats, raise. Changing the thumbnail, it's just smart. Yeah, true. All right, we've got, going to the Nationals. That's gonna be Tim Reigns, 12 out of 25. That is an Exposed card that will revert to the Nationals. Congrats on that. There you go, Nats. I'll change the thumbnail after this break. Too much confusion. Watch, you're gonna change it in like three breaks later, so you can change back. Yeah, I know, right? Happy birthday, Sam and Donnie. Don't change the thumbnail. We had them at 320 a box, but they are sold out on our website currently. We do have more coming in. There's a Colton Welker, 47 out of 50 for the Rockies. Yeah, big dumper, Cal Raleigh, 99 of 99. The last one stamped, going to the Mariners. Followed by, first auto is gonna be of Zach Short. That is 48 out of 99 for the Tigers. Next one here, going to Houston. Kyle Tucker, that is 35 out of 50 for the Astros. Where is Houston? Vinny Peay, congrats Vinny. Nice talk. And we've got Rayway, Bob Gibson. One of 25, he was so nasty, dude.  He was like a scary dude, really scary guy. Going to the Twins. We've got framed auto of Rod Karoo, 62 out of 99, Rodaroo. Congrats on that, Minnesota. That is just, I wanna say, by the Twins. Yeah, Justin M, thought it was, yeah. Tucker's not too bad though, not a bad consolation prize. Yeah, I do too, Tossall. This stuff is fire, man. Yeah, they had to lower the mound dimensions because of Bob Gibson. Oh, really? He was so hard, yeah.  Like he would throw it at anybody who didn't like him head. He was a nut job. Great picture, though. Not somebody you wanted to mess with, though. Yeah, I know, it's kinda sad, honestly. Tops Gilded Collection. Tops Gilded Collection, just came out today. Yeah, we should be getting, I know Lane said we're getting some more cases of it. I don't know how much exactly. I know we should be getting some more in. Corbin Burns, rose gold, 250 for the brew crew. We've got a, Greg Maddox, 59 out of 99, the professor going to the Braves. Nice one there. Time to hockey start. 77. Got a Ernie Clement that is 11 out of 50 for the Guardians. Yeah, didn't throw a no-hitter on that, too. Happy place. There's a Josh Lowe, 17 out of 99 for the race, rookie yard. And nice one here, we've got a lava. That is gonna be five of 10 is Ty Cobb. I'm sure that would go over really well. Happy place. This one here, going to the White Sox. There's Harold Baines, 95 out of 99. Gilded Collection signatures. Starts at 730, thank you, Aiden. Oh, perfect. Nice. I know, the smart that you do the reminder. I like that. I never did that. I didn't do it until Boris was like, oh yeah, just do that, I'm like, oh, okay. Yeah, that's a good idea. There we go. Some more, another cheered spot came in, another mosaic spot, some gaming spots coming in as well. Lane buying some gaming. Packed, there's it. We hit a J-Rod auto in the last six boxer, Parker. We did, no Devers yet, but we did hit a J-Rod in the last one. Yeah, happy place. Thank you, Rosie, not actually my birthday. It's been a running joke. Manuel Rivera since 50. This is Topped Gilded Collection baseball. Just came out today. Yeah, we're talking about the Sabres game. We got it on at the shop here. Aaron Judge, 28 out of 99 for the inks. I just wanna hear for the Blue Jays. We'll see this guy sign a ton. Kevin Gaussman, very nice. That's eight out of 50. Again for the Blue Jays, nice one there. Toronto, Doug R. Yeah, this is really nice. This is the debut too. This is the first year it's come out. Mookie Betts, we've got 17 out of 25 on the Raywave. Nice Mookie. He's taking a little bit of time off for himself right now, Dequan, but he's doing well. Comes in chat every now and then over on YouTube and Twitch. This one here, going to the Cubs. We've got a Rhino, 49 out of 50. Rhine Sandberg, there you go Cubs. Nayoya T. Very nice Sandberg. Come on, where's our cup? Where's our cup, Donnie? Why are you hiding your cup on us? It's in my pocket. We had them at three, I think 320 a box. They did sell out on our website though. This is a group break. We have a couple cases worth of group breaks coming in. Aaron Ashby is 250 for the Brewers on the Rookie. Followed by a Joey Vado, 89 out of 99. For the Reds, cool picture there. Grats on that, sincey. Another Mosaic spot came in. I believe we're just down to one spot on Mosaic now. We've got a nice one here, Zach Plisac. That's going to be number 15 out of 50 for the Guardians. JRot Israel Redemption, JRot Israel Redemption. We pulled one in the last break. Nice one here, we've got a Jared Durant on the Red, one of five. Rookie Auto going to the Red Sox. There you go, Boston Dougar, picking up the Red JD. Kind of a color match too, secondary color match. And Ray Wave, Gary Cole, one out of 25. Grats on that, Yankees. The Coltrane baby, right next framed auto. Ooh, that's sick. Going to the Braves, how about a John Smoltz Hall of Fame Auto, eight out of 25. There you go, Atlanta. Dude, that's awesome. Braves is, yeah, Braves. Naoya T, congrats on that. That's awesome, dude. Smoltz, part of the deadliest rotation in the baseball history. And last box of the break. Good luck, everybody. We'll do a quick recap after as well as 12. I mean, I agree on this one, that's been, this stuff is a lot of fun, man. They knocked it out of the park on this. I have to say, so far, the box packaging is awesome. Got the, like, the felt inside and everything too. Gary Cole, two 99, doing that rainbow now, Yankees. Congrats on that Namke. Curtis Terry, that's gonna be numbered 44 of 99. We usually just get rid of them caps. For the Orioles, Cedric Mullins, 51 out of 99. Grats Baltimore, that is Chris E. And really nice one here, Ray Wave. Vladimir Guerrero, senior. Very cool, that is one out of 25. Going to the Nationals by way of the Expos. Exporonies, yep, quality's been great on these. No complaints on that whatsoever. And last card of the break, going to the A's. Raleigh Fingers, 10 of 10. On the top, Gilded Collection, Black Auto. Congrats on that Oakland. That is Eugene L, there you go, Eugene. Nice Raleigh Fingers. All right, let's do a quick recap on this as well. We've got Cedric Mullins. John Smoltz for the Braves. Mullins with the Orioles. Red, Jaren Durant, a five, Red Sox. Zach Plisac, Guardians. Ryan Sandberg for the Cubs. Kevin Gaussman for the Blue Jays. We had Raleigh Fingers going to the A's. As well as Harold Baines to the White Sox. Josh Lowe, going to the Rays. Ernie Clement, Guardians. Rod Karoo, going to the Twins. Kyle Tucker, Astros. Zach Short, Tigers. Tim Reigns for the Nationals. Elliott D'Ramos going to the Giants. And Curtis Terry for the Twins. That'll do it for the break, guys. Thanks again for the fill. Next up, we've got our Mega Triple Case.


This is the paper about the simpler lattice sketch toolkit. This is the joint work with Yang Yu. I am Store Zhang. Let's start some background. Lattice-based cryptography is a promising post-quantum alternative. Based on lattice, we can build not only practical efficient encryption and signatures, but also very powerful advanced cryptographic parameters ranging from FHE, ABE, and more. Basic lattice encryption and signatures has been closing to TRS-ready, but advanced lattice schemes still need implementations and evaluations. Many advanced lattice cryptosystems rely on strong lattice chip doors. Architech's function is defined by the metric A that short and fight with uniform entries module Q. And the domain X is a set of short integer vectors with small entries. In Stoke 1996, Architech proved that if this is hard, the function FA is hard to invert. But with the chip door, the function is easy to invert. In the early result, it generated the short lattice species T as a chip door. However, the deterministic process of inversion lacks information about chip door, leading to learning attacks. Then in the GPV framework, the inverting of FA is not deterministic process, but random Gaussian sampling. And the simple pre-image is independent of T, so there is no chip door leakage. Later, Missing through packet framework proposed a new structure, and T is no longer the lattice species. With the help of T, the problem of inverting a random function FA is transformed to the problem of inverting the same type of function FG. But for specific carefully designed gauge matrix G, which admitted much simpler and faster inversion algorithms. Currently, this is the state-of-the-art lattice chip door framework. The G-Metric is a block diagonal metric. The diagonal block is VxRG. The cross-bonding gauge lattice has a good basis S. For the power B modulus, the metric is a lower bi-diagonal metric. And for the arbitrary modulus, the metric has other no zero interest in the last column compared with before. Thanks to the good structure of the short basis of gauge lattice, the inverting of G is simple and fast. Gauge is widely used in lattice schemes. There are four associated algorithms. The most simple one is the digital decomposition, which is typically used in BV and BFV FHE. The second algorithm is LW inversion. It's typically used in LW encryptions. The first two are all deterministic algorithms. They are also to randomize the algorithms. The first algorithm is Gaussian sampling. It is used to sample a pre-mage FG from discrete Gaussian. And it's typically used in the essential package chip door framework. Then the sub-Gaussian sampling is sampling a pre-mage of FG from a related version of Gaussian. It's a sub-Gaussian, which is easier to sample. It's typically used in GSW FHE scheme and in lattice-based ABE. Our main research is on these two randomized gauge algorithms. So before I talk about our contribution, I'm going to go over the previous gauge algorithms. The first gauge lattice algorithm was given in MP12. And there, they gave a discrete Gaussian simpler with linear time in space only for power-OB modulus. For arbitrary modulus, the algorithms need quadratic complexity. Then, Genius Missential came up with a way to sample with linear time for arbitrary modulus, but need using floating-point arithmetic and is more complicated than the special algorithm for power-B modulus in MP12. As for the gauge sub-Gaussian sampling, Genius Missential's work gave a sub-Gaussian sampling with linear time for arbitrary modulus. For the modulus of power-B, they caused key log-B random bits, but for arbitrary modulus, they caused key squared log-B random bits. And the algorithm for arbitrary modulus is more complicated than the one for power-B modulus. So, there existed some gaps between the gauge algorithms. To close these gaps is not only of theoretical interest, but also crucial for practical applications. In fact, for better performance, many lattice-based systems use ring structure. For fuses, beat-up in the ring structure, they often chose prime modulus supporting NGT. In addition, many advanced lattice-based cryptosystems the size of the queue is usually quite large, such as larger than 100-bit. And to be compact with architecture, we usually apply some CRT modulus. And in these cases, queue cannot be power-B. So, we need an algorithm for this. To avoid better compatibility of a gauge toolkit, we present two randomized gauge algorithms for arbitrary modulus. We present a gauge Gaussian simpler that avoids the floating-point arithmetic in existing algorithms. Compared with the previous algorithms, our simpler achieves simple quality and asymptotic complicity, but is simpler and highly parallelizable. We also propose a new gauge sub-Gaussian simpler. It's simpler, faster, and needs asymptotically less randomness. In addition, our simpler is convenient to catch a close even better quality in practice. First, we will show our new gauge Gaussian simpler. The discrete Gaussian is an important probability distribution in lattice. It usually has three elements, the lattice L, the central C, and the positive-defined corrosion-symmetric sigma. For discrete Gaussian, the probability of each lattice point is a proportion to the value of the Gaussian function. In particularly, when the sigma is a scalar metric, we call the discrete Gaussian spherical. The parameter s is the sweet of the Gaussian. Moreover, the smaller s means the higher quality of the Gaussian simpler. With the good lattice space s, we can efficiently sample from the discrete Gaussian. They are two widely used simulators. Clean GPV simpler and packed simpler. The packed simpler is more efficient and widely used EMP tripdoor. It consists of two steps. The offline phrase, simple or perturbation vector of covariance sigma p, the online phrase is an easy sampling over integer. Our main idea is using packet approach to improve simplicity and efficiency. We also use integer-metric factorization to avoid floating-point arithmetic. We used a symmetric factorization shown in genius-essential etching. So our algorithms follow the same step with them. But we implement the step one, perturbation sampling differently. In GM etching, the float-point arithmetic comes from perturbation sampling. They use Kolaski decomposition and sometimes using continuous Gaussian sampling in the implementation. To avoid floating-point arithmetic, we employed this integral-metric decomposition with A and G. The metric G is diagonal. With such an integral decomposition, the perturbation sampling can be done by applying a linear transformation of A on the discrete Gaussian, which is simple, fast, and highly parallelizable. The idea is inspired by the work of Lucas, Galbraith, Prest, and Yu. But the technical difference is that the middle metric G is diagonal, but not identity metric, which allowed to reduce the size of A. That is only k plus two columns, much smaller than the size of the gram root given in DGPY-20. This compact metric greatly improves the sampling efficiency. So as for comparison with genius-essential, I will simply achieve the same quality with the genius-essential one. And genius-essential heavily used floats are only used integers which has better compatibility to constraint devices. In addition, we have storage advantage. As an efficiency, both genius-essential simpler and avers runs in linear times. We implemented our new simpler and compared with the implementation of the genius-essential simpler in the palisade library. This figure shows that basically our algorithms is as fast as the genius-essential simpler implemented in palisade. So next, we introduce our gauge sub-caution simpler. As one would expect, a random variable x over r is sub-caution with paramount alpha if its tail is bounded by the Gaussian of the width alpha. This is an example of sub-caution. We also use sub-caution victors. This is the definition of it. Sub-caution is a relaxed version of a Gaussian. An important property of sub-caution is passcode activity. This is similar to a Gaussian convolution leading to a slow error growth. While simplifying sub-caution is easier than simplifying Gaussian. Genius-essential point is a sub-caution analog to existing gauge Gaussian simpler. Missing packet 12, Genius-essential 18. Specifically, for the keys of power B modulus, GMP 19 runs sub-caution by bias nearest plane on B6S. These algorithms achieve sub-caution paramount B-1 square root of 2pi with k log B random bits. For the arbitrary modulus, it is performing a sub-caution by bias nearest plane algorithms on T and applies a linear transform of T to lift the solution to gauge lattice. Here, S is equal to T times D as in GM 18. In the end, this algorithm requires k squared log B random bits and achieves sub-caution paramount at most B plus 1 square root of 2pi. Our gauge sub-caution simplifying is very different from the GMP 19. Our idea is to convert the simplifying for arbitrary moduli into the easy and fast simpler for power B modulins. There is a simple fact that for a short x, if the inner product of x and g is equal to u mod q power k power of b, the inner product of x and g is in the set of u and u minus b to the k. So, if the inner product of our simpler output x and g is equal to u modula q, we also limit it in the set of u and u minus q. Notably, the value of u and u minus q basically determines the most significant digital x sub-k minus 1. So, our simpler presides in these three steps. First, we chose u prime according to the probability. Then, we simple a sub-caution x prime with a simpler for q equal b to the k minus 1 giving u prime. Finally, we determine the last coefficient xk minus 1 as per u and x prime. Let's talk some details about our simpler. These are the probabilities of selecting branches in the first step. Our algorithm requires this line to q log b random bits. It consists of log q random bits for determining branch in step 1, and q minus 1 log b random bits for simplifying x prime. This is a sub-caution parameter achieved by our new simpler, and this can be proved by the holder inequality. So, next is a comparison with our simpler and general essential point for one. The GMP algorithms use the k squared log b random bits, which was claimed to be almost optimal in their paper. In fact, our algorithms only need k log b random bits. Not only our algorithm for arbitrary modulus needs an asymptotically same amount of randomness with the one for power of b modulus. We therefore believe that it is essentially optimal in randomness requirement. And our simpler is simple and doesn't need a complicated metric. So, we didn't need extra storage and it's easier for implementation and further optimizes. Our algorithms achieved close even better quality for practical pavement. In the worst case, our pavement is about a square root of 2 less than GMP pavement. But when the base is 2, which is common used, our pavement is square root of 2 pi, which is smaller than GMP1. And for the large b, there exist many NGT modulus q such that our pavement is similar to GMP1. More important, our simpler is practically fast. It can be seen in the picture that our sub-caution simpler is greatly faster than the genius-mysenial-poirc improvement in palisade library. Precisely, our algorithm is about 1.3 to 3.2 times faster than the palisade implementation of the genius-mysenial-poirc algorithm. All in all, we proposed two new key algorithms that have some advantage from both implementation and theoretical standpoint. Our key caution simpler gets rid of the reliance on high-precision arithmetic while keeping a good efficiency and quality. And our key sub-caution simpler is simpler, faster, and need asymptotically less randomness compared with the previous result. Thank you for listening to my presentation.