to our feet and give the Lord some praise. Come on, the Lord has been and we've come into his house to rejoice and be glad in it. Don't you know he's worthy?  We would like to give honor to our pastor, Bishop Arlene Alexander, hallelujah, in his absence. And our first lady, amen, first lady, Pastor Bobby Alexander, in their absence. We just thank and praise the Lord for the wonderful leadership that we have here. Hallelujah, Shield of Faith Long Beach is an awesome place to come and give God glory. So come on, it's time to worship. Come on, let's give thanks out to the Lord. Hallelujah, Mr. Sorton. He's gonna take us farther into the service. Hallelujah, hallelujah, he is good. Hallelujah, I know he has been good to me. Hallelujah, I wanna keep speaking for myself. The Lord has been good to me, hallelujah, hallelujah. Father, in the name of Jesus, Lord God. We thank you this morning, Lord God. We praise you this morning. We glorify, we magnify your name, Lord God. We come to you, Lord God, with thanksgiving, Lord God, and praises, Lord God, in our heart, Lord God. We come this morning, Lord God, to glorify, to magnify your name, Lord God, for you, Lord God, you alone, Lord God, you are worthy, Lord God, worthy of the praise, Lord God, worthy of the honor, Lord God, worthy of the glory, Lord God, hallelujah, Lord God, Lord, we ask you this morning, Lord God, that you will have your way, Lord God, in this service, Lord God, we ask you this morning that you will touch, Lord God, that you will move, Lord God, in a mighty way, Lord God. Help us this morning, Lord God, to draw our minds in, Lord God, and think of the things of you, Lord God, in the name of Jesus, Lord God, be glorified, They said we'll be magnified this morning, Lord God, in the name of Christ, Lord God. We ask you, Lord God, that you will have your way in this service, Lord God, that you would touch thousands of the authority. That you remove the authority. In a mighty way Lord God. In the name of Jesus Lord God. We ask you this morning Lord God, that you receive Lord God. We ask you this morning Lord God. Lord God. In the name of Jesus, Lord God. We ask you this morning, Lord God. Lord, as your messenger, come forth this morning, Lord God. We ask you in the name of Jesus that you will speak, Lord God. Speak through him, Lord God. Speak through him, Lord God. As you speak, Lord God, under the ocean, Lord God, of the Holy Ghost, Lord God. In the name of Jesus, Lord God, anoint the musicians, Lord God, skillfully before you, Lord God. And they play skillfully before you under the anointing, Lord God. In the name of Jesus, Lord God. Receive, Lord God. I will praise, receive, Lord God. I will worship, Lord God, that you, and you alone, Lord God, may be glorified and magnified, Lord God. In the name of Jesus, Lord God. We ask you, Lord God, that you will save, Lord God, such as should be saved, Lord God. In Jesus' name, Lord God, be glorified. Be magnified, Lord God, throughout this service, Lord God. In the name of Jesus, Lord God. Hallelujah, Lord God. Hallelujah. Hallelujah, Lord God. Hallelujah, Lord God. Hallelujah, Lord God. Hallelujah, Lord God. Hallelujah. Hallelujah, Lord Jesus. You are worthy, Lord God. Worthy, Lord God. Worthy, Lord God. Worthy of the praise, Lord God. Worthy of the honor, Lord God. You said that everything, praise you the lord. Praise him. Hallelujah. Ain't no rock. Gonna cry out in my place. Hallelujah. Hallelujah. Hallelujah. Hallelujah. Ain't no bird. Lord God. Gonna sing in my place. Lord God. Hallelujah. Hallelujah. Lord God. Hallelujah.  Lord God. Worthy of the glory. Lord God. For you alone. Lord God. You are great and great to be praised. Lord God. In all of the years. Lord God. In Jesus name. In Jesus name. We pray. Amen. Amen. Thank you. Praise the lord. Saints. Praise the lord. Praise the lord. Saints. Hallelujah. Hallelujah. Hallelujah. We're we'll be reading from Romans eight uh chapter eight verses thirty three through thirty eight. It says who it says who who shall lay anything to charge of God's elect. It is God that justifies who is he that condemn it. It is Christ that died. Yeah. Rather that is risen again who is even at the right hand of God who also make it intercession for us who shall separate us from the love of Christ shall tribulation or distress or persecution or famine or nakedness or peril or sword as it is written for thy sake we are killed all the day long we are killed all the day long for Christ's sake. We are accounted as sheep for the slaughter. Nay in all these things there are more than conquerors through him that loved us for I am persuaded everybody say for I am persuaded for I am persuaded that neither death nor life nor angels nor principalities nor powers nor things present nor things to come nor height nor depth nor any other creature shall be able to separate us from the love of God which is in Christ Jesus our Lord may the Lord add a blessing to the reading the hearing and the doing of his word in Jesus name amen Hallelujah Hallelujah Hallelujah Hallelujah God's word is true nothing can separate us from the love of Christ amen and you know what God is a man he's not a man that he should lie he's a God of his word amen all things are possible when we believe and old chains are breakable when we receive your way you keep your promises if you said it we believe it if you said it if you said it we believe it oh you're not a man you're not a man that you should lie if you said it we believe it if you said it if you said it we then if you said it you're not a man and it's what you started God you have never then you with your presence. You're not a man that you should lie. If you said it, we believe it. Oh, you're not a man, you're not a man that you should lie. We believe it. Oh, your patience never failed me. Hey you, if you said it, Jesus, you're not a man. If you said it, if you said it, we believe it. If you said it, you said I am. Cause the great I am. Cause the great I am speaks over me. Say I am what I am. Cause the great I am speaks over me. Say I am cause the great over me. Hallelujah, hallelujah, abundantly above all that we could ever ask. Think, hope, or desire in our lives. Amen. Our God is able. Oh, you could at the pot. Our God is so able. Hallelujah, hallelujah. Whatever we need, whatever the circumstance, God is right here. Hallelujah. Our Lord, how excellent is your name in all the earth and in heaven too. Hallelujah. Our God is excellent. He's our strength, He's our power, and He's a strong tower. The righteous can run in and be safe with our God. Amen. It's your name. Your name is strength. Your name is strength. It's your name. Your name is strength. A strong tower. Your name is strength. It's your name. A strong tower makes me sick. It's your name. Your name is strength. Your name is power. Hallelujah. Hallelujah. Praise the Lord. Praise the Lord. Come on and lift those hands. Lift those hands and give God praise. There's nobody like the Lord. Our God is powerful. Our God is mighty. There's nobody. He's worthy of praise from the rising of the sun to the going down of the same.  We worship you. And the glory. Nobody like you, Lord. Nobody like you, Lord. We worship you, God. We glorify your name. That you're high and you're lifted up and your train feels the temple. And right now in this atmosphere, if you need something for God, if you would just step out on faith and raise your hands and believe. God is still a healer. He's still a deliverer. He's still a way maker. He's still a promise keeper. There's nobody like the God we serve. If you need it, if you need it, just reach out and take it by faith. Nobody like you, Lord. There's something about being in the presence of the King.   Praise the Lord, everybody. I give honor to God. I bless him. I worship him. Not just here in church, but I worship him. I worship him right down the street. I worship him sitting on my couch. I bless him and I praise him. We give honor to our bishop and our first lady in their absence. They had a death in the family and the funeral is today. So we ask that you would pray for them. I know he's our bishop, but see, when you love somebody, that will touch you. It doesn't matter who it is. But when you love somebody, I was telling somebody, even when you know somebody is getting ready to pass, when they do, it still hurts. And we need a comfort. And we find that in Jesus. So remember to pray for our bishop today in their absence. Also, this Sunday, we'll be having our first youth meeting. Come on and put your hands together for that. Come on. Let me hear you. Hallelujah. Amen. I believe that God is going to bless our young people. And we're going to do all we can to facilitate that. That's going to begin this Sunday. So this morning I want to talk about that God, he wants to bless you. He wants to bless you so that you will know that he's God. He wants to bless you so that you'll know that he can provide every need for you, according to his riches and glory. He wants to bless you so that you'll know that he's a faithful God and that you can trust him. But before we get into the words, Sister Terry is going to come with the praise team and they're going to minister one song to us. And after that, we're going to come and get into the word. Come on and bless the Lord. Amen. Amen. Oh, the Lord does want to bless us this morning. Thank you, Jesus. Hallelujah. Oh, hallelujah. We thank you, Jesus. Bless your name, Lord God. Hallelujah. The Lord bless you. And keep, make his face shine upon you. And be gracious to you. The Lord, the Lord. And be gracious to you. The Lord. We're going to say that blessing one more time. The Lord bless you. The Lord make his face to shine. Be gracious to you. The Lord is to shine upon you. And be gracious to you. The Lord turned his face. And your family.   May his prayers to you. I want you to stand on your feet right now. Do you receive that blessing today? Come on, come on. Do you receive it from the Lord? I want you to just lift your hands. Are we going to sing that part that says, Amen. Some more. So that we tell the Lord, I receive the blessing.  Lift your hands to Jesus. I receive your blessing. Your children.   Be gracious to you. The Lord. The Lord turned his face toward you. The Lord turned his face toward you. The Lord spoke unto Moses saying, Speak unto Aaron and unto his sons. From this wise shall you bless the children of Israel saying, The Lord blessing and keeping. And make his face shine upon thee. And be gracious unto you. The Lord lift up his countenance upon you. And give you peace.  The Lord began, he spoke to my heart the other day. He said, tell the people that I want to bless them. It doesn't matter who you are. It doesn't matter where you've been. Maybe you've even missed it. God wants to bless you. If you're not saved, he wants to bless you by saving you. If you are saved, he wants to bless you so that the world would know that there is a God in Israel.   He doesn't love you. You know what you did.  And I want to bless you. I'll put you right back in line for the blessing. I like that. See, because most of us, if not all of us, if the Lord would have kicked us out for one infraction, we never would have made it. We'd have been singing that song and never would have made it. But for the wrong reason. But God wants to bless you. He loves you. He's concerned about you. He wants to bless you so that the world would know that he is a good God. He wants to bless you so that the world would know that he is a saving God. He wants to bless you so the world would know that he is a God that delivers. He wants to bless you so that the world would know that he is a God. Not of a first chance or second chance. A third chance. He's a God of another chance. He said, though your sins may be as carly says, I will wash them. I will forgive them. And then I want to bless you and understand the blessing is not just stuff. Sometimes we get caught up in money and clothes and cars and stuff like that. Now that's part of the blessing. But he wants to bless you with peace. I like this and the Lord bless you with peace. See when I can lay down at the end of the day and eat my pork chopper, I'll piece a chicken and have peace. I'm rolling baby. But God said, I want you to have peace. He said, a peace that passes your own understanding that will keep your heart and your mind. That will let you know, I love you even though sometimes you messed up, even sometimes you went back. I still love you. You still belong to me. I like that in Jeremiah. The children of Israel down in exile because they had sin. And he said, go back and tell my people. I know the thoughts that I think towards you says the Lord. I have not changed my mind. I still want to bless you. I still want to use you. I still want to open doors for you. I still want to make ways for you.   He's not through with you yet. He wants to bless you. Amen, amen, amen. God's saying that I want to bless you. But you have got to believe this by faith. It's not just enough for him to say that. But if he makes you a promise, if you don't believe it, it doesn't do you any good. So when I read a promise from God, I don't care how crazy it looks. I say, amen, amen. I receive it by faith. Even if I don't understand that, I receive it by faith. Even though the enemy tries to talk me out of it, I still receive it by faith. I'm not giving up on what God said. Hebrew 6th chapter, he's talking to Abraham into his seed. And we are now the seed of Abraham. And he says, surely blessing, I will bless you. And multiplying, I will multiply you. In other words, I will cause you to prosper. Because I love you. Sometimes I look at the life of my grandparents. They had 16 kids. As far as I know, my grandmother never really worked a job. How in the world can one man make enough money to feed 16 kids? I don't know. But what I do know is when I sit down at the table and I bless my food, I break it and he multiplies it. I break it and he multiplies it. And in your life, if you have faith in God, everything you bring to him, he'll bless it. He'll break it. He'll multiply. He'll break it. He'll multiply just like he did with the fish and the loaves. At the end of the day, everybody's going to be full. And something's going to be left over. He's a God of more than enough. God like David said, and he fills my cup to the overflow. Not just feel it. He fills it to the overflow. In other words, he gives me enough that I have enough and love left over. I can bless somebody else. He's a God that is able to do. So if you have any doubt in your mind, if God wants to bless you, let me settle it in your mind right now. He wants to bless you. Not just with stuff. He wants you to be completely blessed. Nothing broken. Nothing missing. Healed in your finances. Healed in your body. Healed in your relationship. Healed with your children. See, I discovered you can have a million dollars if you don't have peace. You ain't got nothing. You broke. God said, I want to bless you, not just with stuff. But I like that. He says, the Lord bless you and give you peace. In other words, you can be satisfied. You can feel safety when you sit down in your house. You don't have to be afraid.  And sometimes you can be in your house and hear somebody shooting. And people jump up and round until they win. I just roll over and say, thank you, Jesus. The thousands shall fall at my side. And 10,000 at my right hand. But because I belong to God, it will not come nigh me. The blessing of God is on me. The favor of God is on me. He says, and I will bless you. When everything else is going down, I will bless you. You know, we look at the news. We hear so many tragic stories. I remember reading that on 9-11, when all those people got killed, there was one church that had a large church. A number of people from that church worked in that building. And for some reason, nobody that belonged to that church went to work that day. Some people had a flat. Some people had a headache. Some people were sick. But nobody from that church went to work that day. See, God, when the blessing of God is over you, I don't care what's going on around you. He's able to keep you. He's able to deliver you. He's able to open doors for you. He wants to bless you. Young people, old people, married people, single people, black people, white people, old people. God wants to bless you. Tell yourself, God wants to bless me. Say it like he means that God wants to bless me. God wants to heal me. God wants to deliver me out of every problem in my life. It doesn't matter what it is, God wants to bless you. Turn to Luke chapter 12. Luke chapter 12. I think Luke is such a thorough writer. But Luke is kind of long-winded. All of his chapters run on three and four pages. In chapter 12, verse 32, but I want to start at 27. He says, consider the lily, how they grow. They toil not. They spin not. And yet I say unto you that Solomon and all of his glory was not arrayed like one of these. If God then so closed the grass, which one day is in the field and tomorrow is cast into the oven, how much more? How much more will he clothe you, oh ye of little faith? Let's go down to verse 32. And it says, fear not, little flock. For there's your father's good pleasure. Good pleasure. Good pleasure. His great joy to give to you the kingdom. So he says, fear not, little flock, people of God, for your heavenly father finds good pleasure. He has great joy to give to you the kingdom. I am a father. I don't think anything gives me any greater joy than when I bless my children and my grandchildren. They come to my house and I take great joy in blessing them. When they come and I say they come into my little kingdom on 11608 Crenshaw Boulevard, I love to bless those little critters.   But that means we had a good time. They know when they come over to grandpa's house they jump on me. They jump on my back. They hide. They attack me from every place. That's because we love each other. I never forget one time one of my grandbabies got in trouble and her mother went to give her a beating and she ran behind me. I said, that's right, don't mess with my grandbaby. She no longer, I'm with granddaddy. Everything is all right. Terry's can tell you about that. He had that kind of grandfather.  He's from Maryland. I know he did. And so, turn to Romans chapter 14. Romans chapter 14, verse 17. And it says, for the kingdom of God is not meat and drink, but righteousness and peace and joy in the Holy Ghost. Let me read it to you like this. For the kingdom of God is not just meat and drink because that is part of the kingdom. It's not just meat and drink. It's not just stuff, but it's righteousness and peace and joy in the Holy Ghost with all the stuff, with all the provision that he makes for us until we begin to understand that God wants to bless us.  So in the kingdom of God, every provision is made for us. What we need, I didn't read it in Roman, no Luke, it said, for the Father, he knows that you need these things. See, we worry about stuff as if God didn't know that I needed this. As if God didn't know I needed a job. If God didn't know that I needed a house. But I find it says, if you will seek first the kingdom of God, those things that you need, they'll be added to you. As a matter of fact, they'll run you down. I was on a job. It wasn't a good job, but it was a job because I was trying to take care of my family. That man walked up to me. He says, you know, I've been noticing you.  See, when you go to work, don't steal from the man. Work hard for your money. He said, I know that you're a hard worker. He says, will you come and work for our company? I said, well, how much does it pay? He told me, I said, boy, that's a lot of money for two weeks. He said, no, we pay that every week. In two weeks, I was making four times what I was making on that job. I did not look for a job. It came and found me. See, if your wage will please the Lord, he will bring what you needed, how you needed, and when you needed. Right on time. He brought me not just what I needed. He brought me more than enough. Hallelujah. And my old boss, he said, you can't take that job. If you take that job and don't make it, you can't come back. You know what I said to her?  See, you have to take the promises of God. Take the blessings of God.  He wants you to bless somebody. He wants you to sit down and share the word of God with somebody.  We go down to the mission, my wife and I, and sometimes people will come and they will, you know, we give them stuff, we give them things, and I was surprised because one lady, she says, you know what, I appreciate the stuff you give, but more than that, I appreciate the fact that you come. And you share the gospel of Jesus Christ. See, we are blessed with so many blessings, but if we keep it to ourselves, what good does it do? So he said, the kingdom of heaven is not just stuff, but it's righteousness and peace and the Holy God goes in. So it is the Father's good pleasure, good pleasure. Hey, good pleasure, good pleasure, good pleasure. He loves to do it, to give to you the kingdom and everything within the perimeters of the kingdom. Salvation, number one. Provision, joy, peace and righteousness. John 10, 10, Jesus is speaking, he says, and I come that they might have life. And not just an existence, but I come that they might have life and they might have it more abundantly. See, the abundant life is when you have the promises of God and you have the blessings of God and you have the peace of God. You have the favor of God. The enemy tries to attack and say, the enemy rushing like a flood, but the spirit of the Lord will raise up a standard against him. When God has blessed you and the enemy tries to come and mess up your blessing. The enemy, see, sometimes we look for the enemy to come with a tail and a pitchfork. The devil has never come to me like that, but he has come to me looking fine and fine.  See, he's not going to bring something that you don't like. He's not going to bring something that doesn't appeal to you.  A friend of mine said, you got to keep yourself in the love of Jesus so you can walk where the blessings are falling. Psalms 35, 27 says, and let the Lord be magnified and let the Lord be praised, which takes pleasure in the prosperity of His service. See, what I'm trying to get you to understand is that God takes pleasure in your prosperity. He takes pleasure in blessing you. He takes pleasure in delivering you. He takes pleasure in making ways for you.  He's a good God. Sister Merlin is saying it this morning, I almost started shouting, OK, thanks unto the Lord for He is good. And His mercy endures forever. I thank God for His goodness and I thank God for His mercy. David said, surely goodness and mercy will follow me all the days of my life. Good days and bad days, when I'm out of line, goodness and mercy is still. See, some people think goodness and mercy are two little cute angels, I think goodness and mercy are like two of them great big brothers. And some of those places that I took goodness and mercy, I guess they shook their heads and said, roll up your sleeves, we're getting ready to go in. This boy taking us some crazy places, but we getting ready to fight today. But goodness and mercy was right there. When the enemy thought he could destroy your goodness and mercy, he said, not today. When the enemy tried to kill your goodness and mercy, he said, not like this, not today. Goodness and mercy has followed us all the days of our life, even when we didn't recognize it. Goodness and mercy was right there. God said, my hand is still on your life. God said, I'm still going to bless you. God said, I'm still going to deliver you. I'm still going to make a way for you. You belong to me. I like that. You see, some of us, we've got to change our thinking. We've got to know that Jesus wants us to be blessed and to prosper. He says he takes pleasure in the prosperity of his servants, of his saints, not just that prosperity, but my soul is prospering when I have peace. My soul is prospering when there is nothing between my Savior and me. Not that I'm perfect, but I'm pursuing and reaching for perfection and I have peace. And again, as a father, I take pleasure in seeing my children and my grandchildren prosper. I would find no pleasure if my children were living in poverty and in lack while I had plenty. See, but we serve, I like that song. He said, he's a good, good father. The other day I was riding on the train and I saw this man and he was a good father.  You're out of order, you're out of line, but I love you. See, that's how God does it. Sometimes when we mess up, when we act a fool, He says, now I want you to correct yourself, but you still belong to me. He's a good father. He doesn't give up on us. I like someone saying it today. He doesn't give up on us. He never gets to a place where he says, I'm gonna throw you away, but he's a good father. He makes waves for us. He opens doors for us. He delivers us. He forgives us when we miss it. He's a good father. He said, I'm married to the backslider. I was talking to my brother and we were talking about that Gomer. I don't know if I could have went after that woman like, but God said, you go get your wife. Because this is a picture of me and the church. Though they stray, I will not divorce them. I will not put them away, but I will love them back into health. I'll love them back into life. I'll love them back into correction. I'll give them my word and say, I have not forgiven up on you. It's not too late. As I was sitting in my seat, the Lord said, there's some people in this room. They feel like I've done so much. It's too late. The Lord said, it's not too late. I still forgive you. I still love you. And not only that, but my hand of blessing is on you.  God wants to bless us. I have a granddaughter. She's four years old. Her name is Chimamanda. Big name. We call her Mandy for short. And I can be sitting at my table eating a steak. A cooked meat piece of steak. And before I can put it in my mouth, she will unashamedly, Elda, walk over, reach in my plate, pick the piece of meat up, and eat it. See, somehow, the point is somehow she knows she's figured out at four years old that grandpa takes great pleasure in blessing me. And you need to know the Lord takes great pleasure in blessing his people. Does that mean we can just do anything? God forbid. Shall we continue in sin that the grace of God may abound, God forbid. But when I am reaching towards and for perfection, even those times when I slip up and mess up, he still blesses me. He still loves me. He doesn't throw you away. But God is warning us to go to another level in him. In Numbers chapter 6, I read it. Let's read it one more time. I just love that. Numbers chapter 6. Such a beautiful thought. And thanks, Sister Terry, for doing that for us. I just love that song. But in Numbers chapter 6, it said, the Lord said unto Moses, verse 22, speaking to Aaron and unto his son, saying, On this wire shall ye bless the children of Israel, saying, the Lord bless thee and keep thee. The Lord make his face to shine upon thee and be gracious unto thee. The Lord lift up his countenance upon thee and give thee peace.  And we, the Levitical priesthood of God, we and I, you and I, we are a royal generation. We're a royal priesthood. He wants us to pronounce that same blessing over the people of God. He wants you to pronounce that same blessing over your life. See, sometimes you need to get in the mirror and minister to yourself. The Lord bless you and keep you and give you peace. Sometimes you need to get in the mirror and remind yourself, Jesus loves you and he wants to bless you. Jesus loves you and he wants to make ways out of no way for you.  Destroy. In the book of Numbers in chapter 22, Israel has come out of Egypt, out of bondage. They've defeated the Amorite kingdom. Our king of Bishan, I studied that. He was a massive human being. He was big and he was tall. He put me in the mind of Goliath. And with the help of the Lord, the children of Israel destroyed a whole nation of men that probably looked something like God. They were encamped in the plains of Moab and Moab was the last stop before passing over the Jordan. So King Balak, he was the king of Moab and he feared the children of Israel because of their size and because of their reputation. They were nation killers. And he tried to hire Balaam, a wicked prophet to curse the children of Israel. But this is what I like. God would not let him curse the children of Israel because God was on that side. It said, the Bible said that no weapon that is formed against us shall prosper in the name of Jesus. And I declare that the enemy may not, he can't prosper. You may take a hit, but the Lord will let you be destroyed. No weapon. On three different occasions, this wicked prophet went to curse the children of Israel. But every time he opened up his mouth, a blessing would jump out.  At school, on your job, it may be a neighbor, but know that God will not let the enemy destroy you.  He'll make your enemy bless you. I had a wicked boss at work and he would do stuff for me and he would say, I don't know why I'm doing this.  And you know what? I didn't get married because I don't even care because I know why you're doing it.   So three times he tried to curse the people, but three times he spoke of blessing. Numbers chapter 23 verse 8 says, How shall I curse whom God has not cursed? Or how can I defy whom God has not defied? In other words, he's saying, if God blessed him, I can't curse him. If God's hand is on him, I can't shop him. If God is for him, I can't be against him because they belong to the king of kings and Lord of lords and God said, I bless you and the world can't stop you.  It sounds like if God is for us, who can be against us? If God is for us, who can stop us?  It won't work. I never will forget I was at school. I must have been eight years old. I wouldn't even say, but I had praying parents. Praying grandparents, we had a substitute teacher. She came and brought a Ouija board and that thing was moving all over the place and people were screaming and hollering and whatnot. She said in front of me, I put my hands up and guess what? Nothing. Didn't move. Didn't budge. And matter of fact, the woman, she got so mad, she snatched it up and gave it to somebody else and started moving again.  He will keep you from the storm. He will keep you from the enemy. He will stop you from even making a mistake that will harm your life. See, we can open up a door for the enemy and have a problem for the rest of our life. I had a chance to read some of the lyrics on the new album Renaissance and I tell you that is demonic. That is demonic. See, sometimes we listen to a song and we think, oh, that's just such a nice song and you're opening up a door for the enemy to come in. You're making a way for the enemy. It's just a song. See, it's not just a song. See, it's not just lyrics. It's just like playing these video games, killing folk, and they say, oh, that doesn't affect the young people. Why in the world are these young folk going out killing folks that they don't even know? See, I tell these, I'm kind of crazy because I run up to Gamebangers and one guy told me, he said, I'm a kid.   See, I told him, this is not a game. This is not a video game.  See, they play these games so long they kill people and hit the reset button and say, ha, ha, ha, let's do it again. But you need to be wise at the doors that you open. Sisters, you need to be wise with the brothers that you go out with. Oh, it's just a date. We ain't going to do nothing.  Brothers, we do the same thing.  You can't play with fire. Fire. And not get burned. So you need to be wise over the adversary.  You going to come out of Krispy Kreme all burned up, fried on the edges. See, the problem is young ladies, he gets you, he hits you and then he's on to the next one. It's not like he going to marry you. I don't know why I'm saying this because these are the things that I told my daughters. I said, you know, there are men that will use you that will not love you. And we saw it in the Bible. There were men that used a woman but did not love them. So we have to be wise. So the enemy wanted to destroy us. But the truth is that since God is for us the world cannot be against us. You need to know that God is with you. God is for you. God is on your side. You need to know that you're blessing. You need to know that you're redeemed. You need to know that you can rejoice. Rejoice because you're blessed. Tell somebody I'm blessed and I know it. I'm blessed and I know it. God has blessed me and I know it. You need to know that if God blesses you. That you bless. You need to know that God is in control.  When God blesses you the enemy can't stop you. When God blesses you the enemy can't do anything but get out of the way they're blessing. They belong to God. His hand is on their life for good. Tell somebody I'm blessed. Hallelujah. I'm blessed. Hallelujah. I know I'm blessed. So how do you activate the blessings of God on your life? I'm glad you asked. Turn to Deuteronomy chapter 28 Deuteronomy chapter 28 verse 1 it says, and it shall come to pass if thou shalt hark him diligently diligently diligently unto the voice of the Lord thy God to observe and to do. I like that. It says to observe and to do his commandments which I have commanded thee this day that the Lord thy God he will set you on high above all the nations of the world. He said, and these blessings shall come upon you and overtake you.     Hallelujah, Hallelujah, put a hedge, all right. Yes. Hallelujah. Sensitive to your spirit. To the generations, cause them to love you God so that the blessings will transfer from generation to generation in the name of Jesus. We thank you God. We thank you in the name of Jesus. Cause them to love you.  Let them love you God. In the name of Jesus. Hallelujah. Bless me. Come on. Let's give the Lord a hand. Pray. May the blessings of the Lord and your family children from generation to generation. In the name of Jesus. Hallelujah. Thank you. We praise you. We give you glory. Many of us are blessed because we had pray. Mothers and fathers and so those blessings were passed down from generation to generation. Can't mess up. You might stray, but you won't stay out there. Hallelujah. Because the blessing of the Lord is upon you. It's upon you and your families. Hallelujah.  Hallelujah. And that blessing is extended. Hallelujah. Amen. Amen. Come on. Let's give God some hand. Praise it. God, we thank you. We thank you. And praise the Lord. Let's receive minister. He's going to take us into this further service. Thank you Jesus. Hallelujah. Hallelujah. Thank you Lord. Hallelujah. Hallelujah. That was a great message. A great message. A powerful message. We all receive that. How haven't we? We receive it. Hallelujah. But we have to remember it's not a one-way street. Hallelujah. We have to do our part. That's right. We have to do our part also. The Lord, he said his word when I return him to him boy that he would do what it was set out to accomplish. But we have to do our part. He said bring your tithes and your offering into my storehouse that there may be me in my house. The Lord want us to be obedient. Those blessing will come if we are obedient to his word. And when we are disobedient to his word, there's a bad side to that. When we rob God of his tithes and offering, he said you are cursed with a curse. You are cursed because you are robbing him. So bring your tithes and your offering into the storehouse if you want to receive the blessing, all the blessing that Elder Ross was talking about. I know I want to be a part of it. I don't want to rob God. I don't want to be cursed. Hallelujah. So be obedient Saint. Obedience. That's the word for the day. Obedience. Be obedient to the word of God in Jesus name. Hallelujah. Let us all stand and raise our offering to the Lord in Jesus name. Thank you Lord. Father in the name of Jesus we thank and we praise you Lord God. We glorify, we magnify your name Lord God. We ask you this morning Lord God that you will bless this offering. Multiply Lord God. Let it continue Lord God to meet every need Lord God. In the name of Jesus Lord God. Those that are faithful and obedient to you Lord God. We ask that you will bless them Lord God. That they may receive Lord God. All the blessing Lord God in Jesus name and those that are not able Lord God. We ask that you will make a way Lord God. That they may get in on this blessing Lord God. In Jesus name. In Jesus name we pray. Amen and amen. You now may bring your offering. We're blessed in the city. We're blessed in the field. We're blessed when we come and when we go. Every strong ghost in this empire in my seat. In the middle of the night I want to turn it around. Praise the Lord. Just want to remind all the young people we have a meeting about 15 minutes after the service is over. So all if you even consider yourself to be young come on down. Amen. It's gonna bless you. It's gonna bless the young people. So amen. Amen. Amen. All right. We thank the Lord for everything blessed offering. Father we thank you for all. Okay. Thank you God. Just for the opportunity to be a blessing in your kingdom God. We thank you for continuous needs being met in the name of Jesus. You honor your word hallelujah that if we give it will be given unto us. Good measures pressed down shaken over and God's going to use us to be a blessing to each other. Men to be a blessing to us. Amen. And we thank you and we praise you in Jesus name. Amen. Hallelujah. All right. We're going to get ready to get on out of here.


Hi, my name is Thalys and it's now time we talk about pizza delivery, serverless and efficiency. As a developer, I have, like most of you, spent many late nights staring at the screen, feeling both unproductive and hungry. I would like to propose based on some personal experience that serverless can help reduce the development and delivery inefficiencies like pizza delivery did to the homemade pizza meals. I'd like to take you back to the early 2000s when my development troubles started. Before a release, I needed to get the basic ingredients required to verify my application's functionality and performance in a near realistic environment. Back then, I had to run my own mock services, database, messaging and security components just so I can achieve this. So what did I do in order to get the ingredients to cook a new release? Well, I ordered them. I opened tickets for a database server and I even had to make calls for the procurement of software and hardware since they came in CDs and boxes back then. Well, they almost though never arrived on time. After many years of inefficiently building and releasing applications, we tried containerization and look all these beautiful containers I could fit now into my MacBook Pro. I no longer needed servers and it improved the time of testing and releasing hot into production. No more late nights needed. Well, not for a couple of nights at least because as developers, apart from making images with our machines, we also need to run tests and have the latest and greatest features from IDs to almost anything. And let's not forget, the corporate security team also needs to ensure there are no leaks whilst we try these new cool features. Result? More delays. After a while, we learned about resource managers, Kubernetes, which were promising solutions to have an instant development environment. We could run as many components as we needed within minutes. And best of all, it was all free. Only it was not at all free.  Once more, getting a development environment became complicated and we were back on for some more late nights. I recall once that incident where after creating and tuning our own development environment, its performance was so poor, which meant I had to stay developing in the office past 8pm most evenings. Incidentally, this was the time when the lights changed to motion detection mode and I had to do a bit of a dance every now and then just to keep them on. Now the lights, although annoying, they were quite efficient, I thought. So why couldn't my development environment be the same? This is when I learned about serverless with Knative, which in summary offers the ability to spin a service and only keeps it available for the period it receives calls. Knative will remove it when it becomes idle. On a new development on top of Kubernetes, I had the opportunity to test these efficiencies, changing my services to serverless. With Knative serving, I could have three microservices, a database and a security service only available when a call came through. So normal explanations about CPU or RAM utilization and normal late nights waving arms frantically.  Like a database, which takes time to initialize while calls have to be answered immediately. Also, it's shared nature means that you need to tune for concurrency. So I looked it up and serverless offers annotations for the definition of concurrency and auto scaling during serving. Also with serverless, once I had a version of my components delivered, I could work on new revisions of them and then choose if I wanted to send requests to all available ones or simply drain and remove the old ones. Serverless routing even allowed me once I'd chewed on a not very nice revision slice to revert back to an early one. It made me even more efficient when I decoupled the services, which originally were integrated by direct risk calls. Transforming to serverless events meant that the source and sync did not need to know about each other's details. And so messaging slices would arrive magically at the correct destination. Serverless had made me a more efficient developer, like pizza delivery had done to the late night pizza meals. So go try serverless at gate native.dev. It's efficient. Thank you.


Earl Glanchott forming here at Township Chevrolet for another how-to video for tech talk So today we're gonna cover headlights and taillights Something that's pretty simple fix on some cars not all cars, but some Doesn't matter your make model. They're all really similar I guess and how you kind of approach it first things you need to do is if you've got a Bulb out either a signal light or brake light or a park light headlight what I have you You want to make sure you you got the bulb you need so Things aren't just generic as far as bulbs go a lot of the manufacturers now have their own kind of kind of type of bulb Or bulb and that fits into their connector for instance on the new half-ton chev's and GMC's you could have Three or four different headlight arrangements for that one make and model a truck so you could be a High-intensity bulb you could be regular halogen bulb.  So we'll go ahead and take a look at that Okay, so this is the back of the headlight assembly on this unit You'll notice you've got your wiring harness running down here That's what feeds all the power going into the unit and then you've got this cover here. So this cover it'll actually You're gonna want to turn this cover off and this is got a seal on the back side of it That seals it seals keeps the weather out So you're gonna go ahead and take that off and you'll see right behind there There's your bulb. So there's a couple ways you can do it. You can try to take your bulb out now And then take the whole wiring harness and bulb out in one piece or you can disconnect your wiring harness And in this case, it's pretty simple. You just got to lift up on this tab here and then push the bulb back the connector sorry and Then that there's not too too much room But there is enough room to work and that'll get the wiring harness out of your way So there's the wire harness when you set that off to the side and you'll notice there's three tabs on the back of this light And the three tabs are locked in so what you need to do is you just turn the bulb one direction In this case It's it's towards the driver's side of the truck and you go ahead and you're gonna pull that bulb straight out Sometimes you can see the damage on the bulb on this one here. You can start to see some darkening on the glass there Where you know, this bulb is seen better days So some information for the bulb is on the back of the bulb sometime you'll have the maker You'll have how many watts it is and then in this case you'll have a 90-12 bulb is actually what the bulb is and it's a 12 volt bulb 55 watt So you definitely want to replace the bulb with the same Wattage of bulb that you took out on some cases you can upgrade a little bit you just don't want to put too much of a load on the on the system on that circuit and actually some Some vehicles if let's say you're taking this bulb out and you're gonna put an LED bulb can actually set a Code or can he even set something up on the DIC on the instrument cluster telling you that there's an issue with your ball Because it's looking for a certain amount of resistance In the bulb to know that the bulb is working So when you put the LED light in which doesn't have that much resistance It'll actually tell you your bulbs it when it's actually working So that's why it's kind of important to replace the ball with what the manufacturer calls for So another thing to keep in mind is on a halogen bulb You don't want to touch And on the HIDs as well You don't want to touch the glass the oil from your fingers if it gets on that glass can actually cause the bulb to prematurely fail So the LEDs and the COBs, which is another form of LED Those those don't matter as far as your fingers go as much as these ones here So you want to make sure when you take it out of the box open it up It'll be sitting the old and obviously doesn't matter it's a bad bulb anyway But if you look when you take open the box up you'll want that so you can just reach in and pull it out like this So I'm just gonna go ahead and throw this ball back in just so we can kind of keep this simple for you So you're gonna want to put it in the same orientation. You're gonna want to Turn that bulb with the connector facing up You're gonna want to put some inward pressure towards it You're gonna want to turn that and that locks that into place You would definitely want to make sure that the bulb looks like it's sitting in there properly and all of those tabs are underneath If you get the bulb in there crooked it can actually heat Can melt the housing that it's sitting in so you don't want to do that You're gonna want to take this connector and put it back in the housing here and Line it up with the locking tab and then just lock it into place You'll actually physically hear a click there when it's when it's in where it needs to be You can actually see that the locking tab is done and you're gonna want to make sure you reinstall this This cover here and you're gonna want to turn that all the way it Until you feel it stop and then now you know that unit's all sealed up and you're ready to go now I chose this side here for us to use as an example Just because it's obviously an easy one to get at and we're just kind of Every car is gonna be different how you're gonna get to that bulb I chose this one because it's easy to see now if you come over here and take a look The the airbox is in the way on this vehicle So in order to get at that unit you would have to remove Obviously a few things here take this out of the way and then you could gain access to the backside of that headlight So just for simplistic sake we use the other one there, but just something to keep in mind You may have to remove You know some parts to get at what you need some you have to remove the grill some vehicles You have to remove the bumper Everyone's different, but the gist of when you get in to the actual headlight assembly itself However, you get there the gist of replacing the bulbs are almost always the same Another common style that you see other than the kind of turn in bulb like we just did there Some I have like a hinged wire and Usually when you're dealing with that style the actual bulb itself is The bulb itself is granted through the headlight assembly Phil will throw one of those picture one of those up there for you guys to have a look at so you're gonna want to push down on the wire Pull it away from the bulb to unhook it And it'll hinge out of the way and then you can go ahead and lift that bulb out And sometimes like I say they're granted right to the assembly So it'll just be like a one terminal bulb and if it's not it'll be a two terminal And then you put the new bulb in same thing don't get your fingers in the glass slide it into place Push down on that wire, and you're gonna hinge it and hook it back over and that'll be that'll be that so those are kind of the real Two main ones you get into some of the HID ones with the with the ballast is and stuff built into the back of the bulb They have a little locking a turn lock that you would actually You turn it and it'll unlock the bulb similar to what we have on what we just showed you there Only difference is you're not turning the whole bulb bulb stays stationary with the with the transformer But you turn the lock that holds it into place and as far as the LED bulbs go they go in the same same way as the regular bulbs do so Maybe we'll do now we'll go to the back of this truck And we'll kind of give you guys a quick run into how to replace a park light signal light reverse light Assembly back there, so just let's have a look Okay, so now we're at the back of the truck here We're gonna go ahead and replace the tail light or a reverse light or a signal light or a brake light either one It's gonna be all the same way most of the half tons Right from the 80s up till now or the same way so it's gonna cover a lot of the trucks It doesn't matter if it's Chev dodge Ford. They're almost all the same And it's very similar process process for the cars And vans to the only difference is obviously sometimes how you get to it where this is exposed here Some of this stuff may be in the trunk underneath some of the covering or the matting And instead of these have screws in them torque screws Some will have just a plastic fastener or a Christmas tree plug They'll call them that they will push in to hold that into place So what I'll do is I'm gonna go ahead and remove this tail light and what we're gonna do is going to remove the 250 mil Torque sockets that hold it into place So once you do that you can see the tail lights obviously loose There's a couple of clips here that hold it into the body on the front side So you're gonna want to go ahead and just give that a pull and Know that will come out. You'll need some force to do it. You don't want to bend them You want to pull that straight out on this? If you bend it obviously you crack or break the glass so you want to do that When you flip this over in the backside, you'll see there's your three bulbs. Sometimes there'll be a main connector that the That will hook all the bulbs together to be kind of a separate little harness But in this case it's three separate ones So just for the ease of working what we're gonna do is I'm gonna go ahead and remove all these bulbs By twisting them out and obviously there's a lot of dirt and stuff in here because Inside the box all the dirt from the tire gets up there. So I'm gonna go ahead and remove the three bulbs Now this truck doesn't have a tail light out or anything, but I just we're just doing this for the purpose of the video So all the bulbs obviously look good The number for these bulbs will be on it as well. They're a little hard to read on the glass but Like this one here's a 744 bulb. This is a 912 bulb You can't get the numbers off them, but they're hard to read when you replace the bulb These ones aren't so fussy as far as the oil goes in your skin But obviously keep it as clean as you can if you've got some gloves on great use them If you don't just make sure your hands aren't full of oil and grease It'll just help the life of the bulb and you want to just make sure the terminals in here look really good too So sometimes especially with all the all the water and the slush and the salt coming off the tire Especially with the half tons because I can I can physically see the tire in through these holes here So there's obviously going to catch some debris from the road through there So you want to make sure those are good obviously there's seals there to kind of seal it against the tail light if You've got any moisture in your tail light. I've seen them come in here look like a fishbowl There'll be lots of water in here obviously water in the hot bulb don't mix you're gonna have a lot of blowing so if Blown bulb so if you want to if you if you've got water in here obviously these seals could be an issue maybe someone has previously replaced the bulb and they haven't Put the gasket back on or got stuck to the light and it fell off or what have you see you want to take a look at that and make sure that's okay It could be the actual housing itself could be cracked or split this one's good everything's good and dry so once you Once you get your new bulb You're gonna go ahead and make like I say make sure the terminals and stuff were clean Make sure there's no corrosion in there everything looks fine here You're gonna go ahead and put that light in and before you go ahead and obviously put this all back together You know same as the front to be good to try and make sure everything's working so I'm just gonna go up front here the key you'll have to be on to check the signal light bulb and The park lights are on there There's your brake light The reverse light you don't have to start the car to have that reverse lights working So now we know we're good to go ahead and Put this all back together again You're gonna want to make sure you put the light back in obviously the same direction make sure the lights go the same way This one kind of wants to lay like it wants to go in so it shouldn't be a big deal I usually start with the closest one that way you got Just gives you a bit more room to work.  I was talking about that that hole into these holes here So that's what you're pulling again So obviously when you get dirt and so that it makes it even harder for this to kind of kind of come out So you're gonna have to use some force Same as when you go to put the lights back in again You may have to use a little bit of force to make that go so I'm gonna go ahead and give that a little a little bunt I'm gonna slide in too bad and you're gonna go ahead and you're gonna start these screws in again Now you got to remember these are tight tightening into plastic so you don't want to over tighten these I'm using this gun here. I use it a lot if you've got one of these at home So nice these can get away on you and you can strip the screws or strip the head of the screws So you just want to make sure you put a little bit of Tension on it, but nothing too too major like I said the only difference between doing some of the cars Sometimes the cars and the vans will actually have a hatch. You don't have to remove the tail light You can just remove the hatch and reach your hand in and twist the bulbs out They essentially sit in there the same way And some of the other trucks and vans instead of having those screws they'll just be like a push plug So you'll see it's almost you'll have a flat plastic I get filled to throw a picture of a push plug up but you just take like a Flat screwdriver or a pair of needle nose or side cutters and you get in there and just pull the center section out When that center comes out It allows the inside to collapse so then you can take that plug out of there and then you can remove this out so Other than that pretty much That's that's replacing the ball for the most part. Just make sure your hands are clean When you're taking it apart just take no so we're you know what you're removing and what you're taking apart So when you put it back together, you just do the reverse or it's not too bit Not too big a deal Make sure you've got your bulb that you need in the right bulb before you get started because if you're into a bit Of work we get a remove an air box or a bumper or a grill or something like that Then you want to make sure you get everything need to start the job and finish the job and obviously test it if you replace the bulb and The it doesn't work when you've got a circuit problem Which could be something more serious could be something simple as a fuse which we discussed in the last video So if you want to know how to do that just jump back to the last video and you can find how to replace a fuse You can check your fuses for your for your lights You might have a bad wiring issue somewhere or a bad switch that turns the light on so that's a whole other thing altogether So it's just kind of a quick rundown how to replace bulbs any questions or comments Just drop them down below and if you guys have any ideas on some future videos to do with how to just let us know And we look forward to seeing you. Thanks. Hey guys Don't forget to like comment and subscribe to the channel your guys's input really helps us You know try to put some videos that everyone wants to see out Share it all over Facebook and let's get let's get these videos rolling see if we can get some cool stuff out See you next time


The concept of pairing is so very interesting that it needs to be understood and it needs to be elaborated so that it can be extended. We have looked at how peer-to-peer networks can offer peer-to-peer services. This pairing could be between the network management nodes and user application providing clients and servers or between either of them. So we must understand that these successes which we have seen in the form of say torrents or any other Skype kind of chatting application would give us enough insight into the dynamics and the underlying techniques of these successful models that we'd be able to move on to the next of these. So what we shall do is in this module we shall look at the peer-to-peer applications. This may take one or two more modules because in order to discuss and elaborate the latest peer-to-peer applications we need significant time. So we'd start with the pioneering file sharing applications and then how the users moved on to providing audio visual applications. And we'll do some discussion on their architecture and operation. Back in early 90s Napster was introduced to allow the users to share their interests in music by sharing the files which they have of certain albums, singers and certain music companies. So it started off as a very successful model of peer-to-peer application. It was based on the concept of centralized directory. So if you could just use Napster which you can't anymore because of copyright infringement it was blocked across the US. But the idea was so fascinating that other peer-to-peer applications took from Napster and are successful these days. Napster was based on the concept of centralized directory. It means all the users who are interested in sharing music files from their own and taking the music files from others would register with a centralized directory. Now any request by a certain user looking for a certain music file say by a singer, by a musical band would send request to the server. Now the server would reply back with information about the host that included what all music files were available with a certain user and how that user could be contacted as in the IP address. Then the Napster client would automatically contact that IP address and would open a Napster application level socket and download the file. An advanced version of Napster was to take it to a different level where instead of sharing files, live audio-visual interaction could be done. Back in 2002, getting inspiration from the telecommunication networks, Skype introduced kind of voice-based chatting model that emulated the traditional telecommunication networks. Skype is not based on certain standard ITF 3GPP or any other kind of standardization body guidelines. Instead it is a proprietary implementation. That means it is not very easy to go into the inner details of its implementation. However, some inferences could be drawn depending on how it behaves. The second important aspect about Skype is that it is best effort. It means that Skype does not use any guaranteed service for voice and video transfer. In case of congestion buildup, it is expected that the Skype quality is going to deteriorate. At the more architectural level, Skype uses a hybrid peer-to-peer architecture. In such model, it takes inspiration from the session initiation protocol server architecture that includes entities such as the registrar server which is used for registering the users and the present server. The present server keeps track of the mobility which is taking place by certain users. The users are known through their Skype IDs. So if a certain user is present in a certain environment, then the registrar server through its proxy directs the incoming request for a certain Skype user to that particular present server. And from that present server, the proxy server takes cues and establishes a connection between the client and the server. If you look at the Skype architecture in very broad way, we see that we have a centralized Skype login server. We can call it a registrar server. Then we have other servers inspired from the SIP such as we have the registrar server, the present server, the proxy server. So these servers are similar to the super nodes. We see here the Skype in reality is centralized as well as hybrid. These nodes look for the nearest present servers and the proxy servers through which their calls to certain Skype IDs could be established. That is pretty much everything that Skype consists of.


In 2019, Norwegian director Anders Hammer traveled to Hong Kong to document the demonstrations that erupted after a bill was introduced allowing criminal suspects to be extradited to mainland China. It was the beginning of the end for Hong Kong's political independence. Hammer's documentary short, Do Not Split, takes viewers into the streets as protesters go head-to-head with the police in a desperate fight to preserve their freedoms. Do Not Split, which premiered at Sundance, has garnered glowing reviews and an Academy Award nomination. The film is also one reason that the Oscars won't be broadcast in Hong Kong for the first time in more than half a century. The Communist Party's propaganda department issued the order to all media outlets not to broadcast the Oscars, according to anonymous sources cited by Bloomberg. Along with Do Not Split, censors object to the nomination of Beijing-born director Chloe Zhao, who is up for best director for her film Nomadland, and was once hailed as the pride of China.  Beijing is known to react. They will take actions in many different ways if they feel that something is going against their plan. After the movie got shortlisted for Oscars, many people told us that Beijing would react in one way or the other. According to Variety, Chinese censors have also scrubbed mention of Do Not Split, Nomadland and the Academy Awards from social media. One of the biggest social media platforms in China has removed Oscars 2021 and that they have had this cleaning process on the platform and also removed any reference specifically to our documentary. That has supposedly also happened on other platforms in mainland China. The Academy hasn't offered to alter its program to appease Beijing. But American companies, including Hollywood studios, do have a history of making creative decisions that allow them to retain access to the Chinese market. Hammer expects this moral quandary to become a bigger problem as China's market power continues to grow. This will be a dilemma for political organizations and commercial organizations and also entertainment business have to deal with because if they want to stand up for human rights and they want to take a stand against parts of Beijing's politics, that will most likely be sanctioned. Ironically, Beijing's actions are having the opposite of their intended effect. So we have had so many more media requests after this became a news story. The movie had already been out for a little while and this completely changed the situation in terms of bringing attention to this documentary. It has become reported in entertainment news, which is normally not dealing too much with political stuff and in that sense I'm happy and in that sense I also think that Beijing is helping the aim of this movie which is to bring attention to the political situation in Hong Kong.  I hope people will get emotional when they see the documentary. That's the aim of the documentary to make people care about what is going on in Hong Kong and how they are trying to stand up against a very powerful political leadership. Since Hama returned to Norway, activists and legislators who oppose Chinese rule have been arrested in mass. The city is firmly under the control of Beijing and the fight to preserve Hong Kong's one-country-two-systems rule is effectively over. Whether do not split wins on Oscar night, Hama hopes his film and the increased attention brought about by China's censorious reaction will shed light on what is happening in the region. These are very dark times for Hong Kong. I think the development that we were following in our documentary has just been continuing and I don't know where it will stop and how serious and critical it will become. I would say it's really serious at this point and it seems like it will continue.


At the turn of the 20th century, radioactivity was discovered by the French scientist, Henry Baccaral. Using uranium salts, he was able to blacken a photographic plate. Here's a photograph of the plate. For the research by Baccaral, Ernest Rutherford, Madame Curie, and others, discovered three types of radiation. Here's how they did it. A radiation source shines on a lead plate with a small hole in it to create a beam. The beam is directed at a fluorescent screen. The screen flashes when it is struck. Without any electric field present, the beam illuminates a single point on the screen. But when an electric field is applied, the beam is separated into three components. One is deflected upward by the electric field, indicating that it consists of negatively charged particles. These were named beta rays. One is deflected downward, but not as far as the beta rays were deflected upward, indicating that it consists of positively charged particles that are more massive than the beta rays. These were named alpha rays. The radiation that continued to hit the center was not affected by the electric field and therefore has no charge. These emissions were named gamma rays. Radiation research has been going on in nuclear labs around the world ever since those days. What we know now is that alpha radiation comes from an unstable nucleus that disintegrates into a lighter nucleus and ejects an alpha particle, which is always two protons and two neutrons. That's a helium nucleus. This is called alpha decay and it decreases the radiating atoms atomic mass number by four and it decreases the atoms atomic number by two, changing its nature from one element to another. We see that alpha decay changes uranium-235 into thorium-231 and uranium-238 into thorium-234. Beta radiation comes from an unstable nucleus that ejects a neutrino and an electron, turning one neutron into a proton and upping the atomic number by one while leaving the atomic mass number unchanged. This is called beta decay. Here we see that beta decay changes thorium-231 into protactinium-231 and thorium-234 into protactinium-234. Gamma rays are extremely energetic photons and constitute the most dangerous form of radiation. They are produced when an excited nucleus returns to its ground state, much like when an excited electron around a nucleus produces a photon when it drops to its ground state. Only gamma ray photons have a million times more energy.


Welcome back to our lecture series linear algebra done openly. As usual, I'll be your professor today, Dr. Angel Misseldine. We've seen in the previous section, particularly at the end of section 1.5, that solving systems of linear equations when the augmented matrix is an echelon form is very nice, very simple. In fact, it's even better when you're in a reduced echelon form. And the reason what's so simple is the following. If your matrix is an echelon form, as you can see in the example below, right? So let's just double check. Notice that the pivots of this matrix would be in the 1, 1 position, the 2, 2 position, the 3, 3 position that you see right here. To be an echelon form, if there's any rows of zeros in the coefficient matrix, they have to be at the bottom. This doesn't have any rows zero, so that step's ignored. The pivots have to make a downward staircase, which we see happening right here. And then lastly, everything below a pivot needs to be zero. So this matrix is in fact an echelon form. When we translate that echelon form back to the system of equation, you'll notice the very last equation, because we were at echelon form, only involves one of the variables. It only involves z. And so what we can then do is we could divide both sides by 15. And then very quickly solve for z, we would see that z in this situation is none other than 75 divided by 15, which is 5. So we were able to solve for the first variable using the last equation. Now the equation above it only depends on two variables, y and z. If we were to plug in the value for z that we know to be 5, we can make that substitution and we'll see that negative y plus 8 times 5 equals 46. Well 8 times 5 is 40, like so, so we'll subtract 40 from both sides, we get negative y equals 6, and therefore y equals negative 6. We were able to substitute the value we found for z back into the equation above it, and then we found the unknown we didn't know. Right? And now when we look at the next step, we know what z is, we know what y is, we can plug this in for z, we can plug this in for y. And now the only unknown left is x, and we can solve for it much like we did a moment ago. Doing that we would get 2x minus y, well y is a negative 6. We know z is 5, 3 times 5, this equals 25. Simplifying this thing, we get 2x plus 6 plus 15 equals 25, 25 excuse me. We'll subtract 15 from both sides, so we get 2x plus 6 equals 10. Subtract 6 from both sides, you get 2x equals 4, and then divide by 2, you'll see that x equals 2. And so then we were able to solve for the other unknown using the other two that we do know. And so in conclusion, we can see that the solution to the system of equations will be 2 comma negative 6 comma 5. And so this technique that we see right here is commonly referred to as back substitution. What you do is once you find the first unknown, you substitute back into the equation with only two unknowns, then you solve for the second unknown. When you have those two unknowns, you substitute those back into the equation that has only three unknowns. You solve for the third. If there's a fourth unknown, you'll take the three you know, plug it into the equation and solve for the fourth. And you do this for the fifth, the sixth, the seventh, the eighth. We have a technique of solving the system of equations as long as the associated matrix is in echelon form. I mentioned that it's even better when you are in robust echelon form. Notice this matrix, the pivots would be the 1, 1, 2, 2, and 3, 3 position. It's an echelon form because we see a downward staircase of pivots again, zeros below the pivots. It's also in row reduced echelon form because the pivots are each 1 and there's only zeros above the pivots. It's really nice. If you translate this row reduced echelon form into a system of equations, you see that x equals 3, y equals negative 5, and z equals 3. And voila, the system of equations is already solved. I mean, there's nothing else to do. We know x equals 3, we know y equals negative 5, and we know z also equals 3. So the solution is 3 negative 5, 3. Putting a matrix in row reduced echelon form is essentially solving the system of equations. So when we're in echelon form or even better yet, REF, we can solve the equations. It's really nice. Echelon form is going to be our goal here. Let's take a look at two more examples. Let's say we have an augmented matrix that looks like the following. You'll see that this matrix is likewise in echelon form. In fact, this is going to be a row reduced echelon form. The pivots notice you'll have a 1 and the 1, 1 position and the 2, 2 position. You'll notice there's no pivot in the third row because this row is a row of zeros. And it's at the bottom of the coefficient matrix, as is to be expected. When you look at the third column, there's no pivot in that column. And that's okay. It's a non-pivot column, just like the row of zeros is a non-pivot row. This matrix only has two pivots inside of it. And so in terms of our terminology, we would say this is a ranked two matrix, as opposed to the previous two examples, which were both ranked three. They had three pivots. This one only has two pivots, right? So rank two. The rank, of course, counting the number of pivots in the matrix there. So when you turn it back into a system of equations, you get something like the following. You'll notice that the last equation is zero equals zero. That is just an identity. I mean, that's something that's true for any assignment of the variables. It adds no restriction to the solution set. So if we were just to throw it away, it would make no difference. It has no bearing on the solution set whatsoever. It's like saying, okay, x has to, you know, when you subtract x from three times y, you get two. When you take, you know, this and you add to that, that's great. And then, oh yeah, and then just solve the system equations.  You know, it has no bearing on the system here, right? This thing is just always going to be true. So let's ignore it. Now, with this situation, you'll notice that we can't exactly solve for x3, because unlike the previous examples, there's no equation that looks like x3 equals whatever. But the other two equations, you'll still notice that, well, x1 depends only on x3, and x2 only depends on x3. We can't solve for them. So when you solve the first equation, x1, it'll look like x1 equals 2 plus 3x3. And then if you solve the second equation, x2, solve for x2, that is, then you'll get x2 equals 7 minus 3x3. And so x1 and x2, we can determine what they are dependent upon what x3 turns out to be. So these are our dependent variables. On the other hand, there's no restriction placed on x3 whatsoever. No one told us that x3 has to be 7 or 5 or 36 and a half. There's nothing that obstructs our choice of x3. So in fact, x3 would then be any real number. This is, yeah, it'd be any real number here. And so this is an example of a free variable. We can choose x3 to be whatever we want it to be. And so let's say specifically, like, okay, like x3, if we give it some arbitrary real number, we'll call it t. Then the other solutions, the other parts of the solution determined by this, if x3 is assigned the number t, then x1 will just be 2 plus 3t. And x2 will be 7 minus 3t. And then, like I said, x3 is just t itself. And so the solution, there's actually multiple solutions here, right? We have multiple solutions, but each of them can be described based upon the choice we placed on x3. So if you have a specific choice of x3, then we'll have a specific solution. But if we allow x3 to vary, then we'll get multiple solutions to the system of equations. We see this from the echelon form of the matrix. You'll see that you have multiple solutions when you don't have a pivot in every single column, like we saw in this type of situation here, assuming the system's consistent, right? If it's inconsistent, then you have no solutions because it doesn't have any. But if you have a consistent system and you end up with, you end up with pivots missing, then it turns out that you'll have multiple solutions. Speaking of inconsistent, let's take a look at one more example here. Here's yet another matrix. This matrix is also an echelon form. It's not a row reduced echelon form. You'll notice that although we have our downward staircase of pivots, zeros below, and we do have in fact a row of zeros, which is at the bottom, so it's an echelon form, it's not a row reduced echelon form because this pivot here is not a one, it ought to be. There is a zero above it, so that's great. Now it wouldn't be too hard to put it into row reduced echelon form, really, because if we just did the row operation, we just could just scale row two by one-half. Notice if you did that, you end up with one zero negative one slash one. We get zero, one, two, and two, and we end up with zero, zero, zero, eight. This right here would be the row reduced echelon form of the matrix. It would, and you see your pivots right here. But the reason I didn't list this one in REF is because you actually don't need it. In order to detect whether the system will have multiple solutions, whether it's a unique solution or whether it's inconsistent, you can get all of this information from any echelon form. Notice this very last equation right here, this last row, zero, zero, zero, eight. If we translate this augmented matrix back into a system of equations, we get x1 minus x3 equals 1, 2x2 plus 4x3 equals 4, and of course, the critical thing here to mention is this last equation, zero equals eight. This here would be a contradiction, that contradiction here. They're, as real numbers, zero and eight are different, and so there's no choice of x1, x2, x3 that can force zero to become eight. We get contradictions, so that tells us that we're going to have no solution. And in fact, the solution sets would be empty, right? So this is our inconsistent case. We get the inconsistent case when we investigate something like this. And I kind of want to summarize what we see right here. A linear system is going to be inconsistent. It'll have no solution. If and only if it contains a row of the following form, zero, zero, zero, zero, zero, zero, zero, zero. You have a row of zeros in the coefficient matrix, and then you have something non-zero in that augmented column. If the linear system's inconsistent, then every echelon form will have a row that looks something like this, all right? You have to, if you don't have a contradiction in your echelon matrix, then the system of equations is consistent. It'll have a solution, but does it have a unique solution, or does it have multiple solutions? Well, your solution will be unique if you have no free variables. Like we saw in the previous examples here, right? We had this free variable, which gave us multiple solutions. Now how do you detect a free variable? Free variables come from non-pivot columns. So you have this non-pivot column. That's what's going to give you a free variable. That translates to give you these free variables. And so those are the things you're going to be looking for. As you're solving system of equations, and you get them into echelon form, look for a row of zeros, and then check, is there a contradiction? If you get a contradiction inconsistent, you're done with the calculation there. If it is consistent, then move on. Do we have a pivot in every column, or are there some columns without pivots? If you have a non-pivot column, then you'll get a free variable, and you'll get a free variable for every non-pivot column there is. So when a matrix is in echelon form, row reduced echelon form is even better, but when a matrix is in echelon form, with a little bit more arithmetic, we've essentially solved the system of equations. And we can determine whether it's inconsistent, consistent with a unique solution, or consistent with multiple solutions. The three cases that can happen when you solve a system of linear equations.