Right, okay. So we were looking at Revelation or how the Holy Spirit reveals, how the Holy Spirit brings his understanding. If you look at very interesting verse, 1 Corinthians chapter 2, 1 Corinthians chapter 2 and verses 9 and 10, right? Okay, 1 Corinthians 2 verse 9, okay. If you see, it says, as it is written, I has not seen nor ear heard, nor have entered into the heart of man, the things which God has prepared for those who love him. Okay, look at verse 10, but God has revealed them to us through his Spirit. For the Spirit searches all things, yes, the deep things of God, okay? So, and then goes on to say how the Spirit of God, the Holy Spirit is a Spirit of Revelation who reveals, who brings things that we do not yet know to our understanding, right? So this is what he says, you know, it talks about, if you look at verse 9, it talks about what eyes have not seen, what ear has not heard. So he's talking about our natural physical senses, right? Hearing, seeing, natural physical senses. Now, what is not available or what is not, is there some phone ringing or some UPS outside? Okay, fine. So what is not possible with our natural senses? Eye, seeing or ear, hearing, we have not received the information yet, okay? So it says, eye has not seen, ear has not heard. It also talks about what has not entered into the heart of man, okay? So it has not come to our knowledge to, we've not received revelation, right? It has not entered our heart. So it says, the things which God has prepared for those who love Him, okay? So we say, I really don't know. I don't know what God has in store for me, right? I don't know, I'm not able to see, I'm not able to understand and, you know, I'm trying to put these things together and trying to, you know, analyze. I'm not able to understand, right? And nor have I got into my heart. There's nothing that I've received yet. But here it says that the Spirit of God, God has revealed them to us through His Spirit, okay? Because the Spirit of God is a Spirit of revelation, the Holy Spirit. So Holy Spirit reveals what we have physically on our natural senses, not able to analyze and understand, okay? We're not able to understand, okay? How will this work? How, what will happen? How can, you know, how can I solve these things? All these, you know, we are not able to maybe think and analyze and understand, right? But the Holy Spirit reveals, brings a revelation into our lives, into our hearts, right? So that's something beautiful, right? Because our understanding is finite, our knowledge is finite, which means it's limited, right? But the Holy Spirit who is omniscient, who knows everything there is to know, and also the things that God has in store for us, what God has planned for us, His plans, His purpose is for us, the Holy Spirit knows it. And it says here that He reveals them, God reveals them to us through His Spirit, okay? So there is this revelation that the Holy Spirit brings as we walk with Him, right? Walk with the meaning, it's, you know, not approaching God only when, when we come to those crossroads, but continuing to walk with Him, continuing to journey with Him, you know, those days our prayer life, me and my brother was very, very simple, okay? It will start the minute we get our exam timetable, right? Whenever we get our exam timetable and the thing, that is, that is when we will actually pray, or before the exams, that's when we pray. After that, just forget about God, right? It's just a ritualistic thing, we were not believers of course, but then this is how it was, you know, whenever there is a need, whenever there is an emergency, whenever we feel at all, I'm in trouble, that is when we used to actually approach God, right? But here, we have the privilege of approaching Him, we have the privilege of walking with Him, right? Every day you wake up, God is already there, He's with us through the night, He is with us, He's watching over us, right? So it's such a comforting fact that we have Holy Spirit who knows, understands everything, He's with us all the time, okay? He's with us all the time. So we are never alone. Sometimes you feel, no, I feel so alone. Actually, that's not true because, you know, God is with us all the time, whether we feel it or not feel it, He's with us, and that's the truth, right? He dwells in us. So if we are, if we have that assurance, you know, this spirit of revelation, you know, He will show, He will teach, right? So we don't have to be afraid, we don't have to panic, we don't have to be in a state of anxiety, right? He will. The thing is, for us to approach Him, for us to seek Him, and He gives us that faith and that confidence that He will lead us. So the Holy Spirit, when we see, He's a spirit of revelation, so that something that we understand about God's heart is that God is not someone who's hiding everything from us, okay?  It's not, that's not God. God wants to reveal, God wants to show, right? God wants us to know so that we can, and God wants us to prepare us for what He has in store for us. No, that's our God, right? Yes, there is a certain amount of, you know, there is a timing that is involved. It's like, you know, if I asked you to carry, carry, you know, something, okay, carry this chair, you'll carry it, you carry the weight of it, you're strong enough, right? If I say, okay, someone, can you carry this speaker, yeah, you'll carry it. If I put two speakers on your back and say, you know, can you carry it, you know, some people might struggle, some may be able to, right? So the thing is what? There's a, we need to have strength to carry. We need to have strength to even carry the plans, the purposes that God has for us. So God does it at a time when it's appropriate, when we receive strength, right? Otherwise, we'll be just, wait, you know, God, how will I do it, right? God, as we increase in strength, God, there's a progressive revelation of what He wants us to do, right? And the challenge is that, you know, He wants, mountains that He wants us to move, right? So the spirit of revelation and wisdom, okay? So that is who He is, right? Yeah, Sanjay, Emmanuel, God with us, right? So He gives us understanding of the things that He's already prepared for us. The other thing that we see is the, what we read just now this morning is the spirit of wisdom revelation, okay? We're going to study, we're going to look at the gifts of the Spirit. So we see one of the ways, when we look at the gifts, these are characteristics, okay? These are ways by which the Holy Spirit reveals Himself, the gifts of the Spirit. We see word of wisdom as one of the gifts, okay? Word of wisdom, which means wisdom, the ability to use knowledge, their ability to solve something, bring a solution to a problem, right? So He has the wisdom. He is wisdom itself, He is the spirit of wisdom, right? So He brings this to us, okay? When we read, we see that He brought revelation to the apostles and the, or revelation to the apostles and the prophets. Let's look at Ephesians 3 verse 5, okay? He who supplies, sorry, sorry, I'm on Galatians Ephesians 3 and verse 5 says, maybe we can read by, read from verse 3 Ephesians 3 3, okay? How that by revelation He made known to me the mystery, as I have briefly written already, by which when you read, you may understand my knowledge in the mystery of Christ, which in the other ages was not made known to the sons of men, as it has now been revealed by the Spirit to His holy apostles and prophets, that the Gentiles should be fellow heirs of the same body and partakers of His promise in Christ through the gospel, okay? So this revelation, what is this revelation? That God wants the Gentiles to be saved, non-Jewish people to be saved. When we went through the book of Acts, we saw that there was a big, there was a big issue. What was the big problem? There was a big contention. Why? Because Peter went to that, to Cornelius's house, who was not a Jewish man, right? What did he do there? He went there, he preached the gospel, right? And then we saw that, you know, Acts chapter 10, right? So we saw that the Holy Spirit filled those people. They began speaking in other tongues and magnifying God, then He baptized them, then they asked Him to stay on, then He stayed there, spent time with them. So it was not lawful for the Jews to fellowship with non-Jews in this manner, okay? So it became a big issue, it became a big problem, then Peter had to explain, hey, they received the Holy Spirit, the same way we receive, okay? So here Paul is writing about that, the fact that this revelation was not actually available in those days, but now in these times, it has been revealed. Who revealed it? You know, let's look at that. As you may understand, my knowledge of the mystery of things within the other ages was not made known to the sons of men, as it has now been revealed by the, you see that verse 5, right? By the Spirit to His Holy Apostles and prophets, okay? So the Lord brought about that revelation in the fullness of time, okay? So the Lord brings like the Apostles and founding Apostles and prophets, they laid down the whole doctrine of Scripture and so on. So the Holy Spirit brought the revelation. And it's not a surprise because the Lord Jesus, when He was talking about the Holy Spirit, John chapter, I think 14, 15 and 16, He was talking about the Holy Spirit, He said that the Holy Spirit will teach you, right? He will teach you and He will remind you of those things that I taught you, right? The Holy Spirit is a teacher. He is also one who reminds us of the things that were taught by the Lord. So He brought that revelation. He brought that teaching to the Apostles and prophets, okay? So we see the ministry of the Holy Spirit there, okay? So He teaches us the things of God, Hebrews 10, 14 to 16. Let's look at that verse before we move on. Hebrews chapter 10 verses 14, by one offering, He has perfected forever those who are being sanctified. But the Holy Spirit also witnesses to us after He had said before, this is the covenant that I will make with them after those days says the Lord. I will put my laws into their hearts and in their minds I will write them. Then He adds, the sins and their lawless deeds I will remember no more, okay? So verses 14 to 16 talks about how the Holy Spirit, He's saying the Holy Spirit witnesses to us after He had said before, and it quotes from the Old Testament scripture, right? I think it's from Jeremiah, the book of Jeremiah, right? So this is what the Holy Spirit does. He teaches us the things of God, okay? So we have Him as our teacher, the Holy Spirit. He witnesses, He teaches, He also, you know, gives us that, He testifies of Jesus, okay? So that's a great assurance. And this is all, this is the ministry of the Holy Spirit for a believer, okay? Any questions here, online students or any questions? Yeah, oh yeah. Sorry, sorry, the Gospel. Well, the Jews believed because to them we're given the law and the prophets and, you know, you know, because till that time they, their understanding was this, that we are a special people and which is all true, like to us was given the law, the prophets, you know, and everything God has a plan for us as a nation and all that, right? But this whole thing of righteousness apart from the law, that's one. Secondly, that is through Jesus. And the second thing is that this righteousness, which means being saved, salvation, everything is for the entire world. Even though the Lord spoke about it, their minds were not yet, the eyes were not open yet.   So for them, it was something and also according to the whole thing, according to the Jewish law, not being able to, you know, not, not supposed to fellowship with those who are non-Jews because they don't have the law and everything. So it was quite radical in those times, right? For a Jewish person to actually, you know, change, to actually open the, and that's what God brought about. And therefore, you know, we see the book of Romans was even more, you know, radical. So Paul says, you know, now apart from the law, you know, there is this righteousness, the righteousness that is by faith through grace, you know, Romans chapter 8 and all that. So yeah, so that's why Peter says, you know, when he's referring to Paul and about this whole thing of grace, and Peter says, you know, people who are untaught, they, they don't understand. Brother Paul has written some things that are, you know, that is, there's a lot, a lot of things that people who are untaught, they actually, they don't understand and they actually twist it to their own, you know, to their own end. So he's talking about that. So yeah, so that's why Jewish person, the whole thing of grace, salvation by apart from the law is something very, very foreign for them. Yeah. Yeah, somebody put their hand up. Yes, Pastor, it's me. I have a question. Yeah. This is the covenant that I will make with them after those days as the Lord, I will put my laws into the arts. Is it for the millennium reign or is it now? Well, when we look at that verse, Hebrews 4, Hebrews. Okay, so Hebrews 10 and verse 16. So yeah, so this is something that he is actually, you know, he's doing it for the church today that he is, in fact, by the Holy Spirit, that he is, he's bringing that, you know, that understanding to our hearts, his law in our hearts and in our minds, he's bringing that, but it also has application for what is to come. Right. So because he's here, he's talking about the law and specifically for the Jewish audience. Right. So it applies to the nation of Israel as well. Okay, Pastor. Thank you. Okay. Any other, yeah. Yeah. So Gentiles definition, anybody who's not a Jew, not a Jew, by birth, by descent, right. Yeah. But it's interesting, you know, where Paul talks about circumcision because every Jew is circumcised, right, which is a physical thing that they did as per the, you know, purification law or as per the Jewish, sorry, Mosaic law. But Paul talks about circumcision and he says, you know, who's the one who's circumcised, who's actually circumcised in the heart that is of the Spirit. Okay, he's talking about how a Gentile, when receives Christ, there is that, you know, that the circumcision for purity, for cleanse, whatever, it's something that is a spiritual work. Yeah. No, no, it's, it's not. So efficiency is very clear that the Lord Jesus came to break down that wall. Right. So efficiency two and verse 14, he himself is our peace was made both one. What is that? He's talking about Jewish, Gentile kind of thing. And he has broken down the middle wall of separation, having a ball of the stench flesh, the enmity, the law of commandments, etc., that he might reconcile them both to God in one body through the cross, thereby putting to death the enmity. Efficiency two versus 14 to onwards, right. So we have access by one Spirit to the Father. So no denominations, no Jewish, Gentile kind of thing. Yeah. Okay, so let's look at the next one. Sorry. That is after those days. What was that? Yeah, Sanjay. Is it, are you referring to Hebrews, the book of Hebrews 10? Yeah. Okay. So there, we see that, so this is in Jeremiah. Sorry, what is the reference? This is from the book of Jeremiah, right? The right of Hebrews is quoting from there. Let me just get the exact verse. So it's, I think it's Jeremiah 31, okay, from there. So, so he's talking about, you know, after, he's talking about a time period, which is not then, but it's, it's, it's yet to happen. So, and therefore, that usage, you know, I will make them within after those days. So it's talking about a time period, which is not then, at the time of writing of that scripture. Yeah. Hope that helps, Sanjay. Okay. Any other thoughts? Any other questions? Okay. Okay, we are going slightly, we can, we can, we'll take it offline, but any questions about, you know, this, about the work of the Holy Spirit, we can see that will be, sorry, sorry, whether we'll have Jews and Gentiles, yeah, yeah. Correct. Correct. So, you know, the thing is, if I just answer without context, 21, 9, okay, 21, no, no, no, no, it's right. Okay. And the glory of the Lord. So talks about a new Jerusalem and new city and what will happen, talks about the dimensions, etc. Right. So, yeah. Yeah. So, special place for? No, no, no, no, no, it's for, see, we are, so when it talks about Zion, the city of God, we are the new, we are the Zion, we are the people of God, right. So, in fact, when you read Psalms, you know, like talks about how God makes Zion as a dwelling place and all that, it is actually applicable for us. So, okay, so your thing is, okay, will it be only for them or will it be for us also? It's for the, you know, for the believer.  And salvation, yes, the whole lineage the whole revelation and everything came from through the Jews, but it's now for, it came from through the Jews, yes, definitely, but it's for the entire world, right. Okay, yeah, but having said that, you know, there is a, I'm sure you know that there's very in-depth study on revelation on Daniel, okay, about the end times. So, you can always access those videos. And of course, in the third sixth semester, fifth or sixth semester is when you will, you know, study that, right. Okay, okay, let's look at what other aspects for the believer that the Holy Spirit brings. See, we see that in Romans chapter 8, we see that, and also 1 Corinthians 14, that the Holy Spirit enables us to pray, okay, enables us to pray. And we have this usage called pray in the Spirit, okay. First, let's look at Romans 8, 25, okay. Romans 8, okay, Romans 8, 25 says, 26, likewise, the Spirit also helps us in our weaknesses, for we do not know what we should pray for as we ought. But the Spirit himself makes intercession for us with groanings which cannot be uttered, okay. So, verse 26, Romans 8, verse 26. Verse 27, now, he who searches the hearts knows what the mind of the Spirit is because he makes intercession for the saints according to the will of God, okay. So, we have this wonderful ministry of the Holy Spirit enabling us to pray, okay. Look at that, verse 26, he helps us in our weaknesses, okay. So, he's not going to make fun of our weakness, or you do not know this, right. He's not going to ridicule our weaknesses, but he helps us in our weaknesses to overcome, obviously, overcome that weakness, okay. So, he helps us in our weaknesses. What is it? The second part of it says, we do not know what we should pray for as we ought to pray, okay. Has anyone been in that situation, right? Yeah, I think all of us, at some place, I don't know what to pray, right. Should I pray for A, should I pray for B, you know, outcome, should I pray for C, what should I pray for, right. So, here says here, we do not know what we should pray for as we ought to pray, but praise God, the Spirit Himself makes intercession for us, okay. So, the Holy Spirit knows what the will of God is. The Holy Spirit knows what is, you know, what is God's plan for person X, what is God's plan for this person, for this girl, what is God's plan, the Holy Spirit knows that. So, it says the Holy Spirit makes intercession for us, okay. How? It says with groanings which cannot be uttered, okay. Now, that's a picture that we have, you know, about praying in the Spirit, right, or praying in tongues, right, with groanings. The Holy Spirit helps us, Himself makes intercession for us with groanings which cannot be uttered and the usage is this, the groanings which cannot be uttered into articulate speech. So, with groanings. So, the Holy Spirit enables us, the Holy Spirit helps us to pray. Now, we don't know what we ought to pray, I have no clue, right. What is the best option to pray in the Spirit, to pray in tongues, because the Holy Spirit enables us to pray or He makes intercession for us because He knows what is God's perfect will for each one of us, okay. So, when we are feeling stuck, you know, maybe when we need help to overcome weaknesses, when we don't know what we should pray for about certain things, right.  The Holy Spirit makes intercession for us, okay. So, just remember that. So, He helps us, He makes intercession for us with groanings which cannot be uttered into articulate speech, right. So, with groanings which cannot be uttered because He knows the mind of God, He knows what God's perfect will is, okay. Now, if you turn to 1 Corinthians 14, okay, 1 Corinthians 14, and verse, verse 2, right, verse 2, for He who speaks in a tongue does not speak to men, but to God, for no one understands Him. However, in the Spirit, He speaks mysteries, okay. So, you know, when we pray in the Spirit, we don't understand it, under there is interpretation, of course, we don't understand it, but we pray, like we pray confidently, we pray faithfully. So, what is happening there? We are speaking the mysteries, meaning things that are hidden for us, you know, we are, as we pray to God, as we, as we pray in the Spirit, we are actually speaking mysteries, which means things that are hidden for us to find, like the Spirit of God is the Spirit of Revelation, things that are hidden, He brings, He reveals to our Spirit, right. These mysteries, maybe the questions that we already always had, the answers that we always wanted, the understanding that we always wanted, He makes it known to our Spirit, right, even as we pray in the Spirit, right. It's talking about praying in tongues. Okay, then if you go to verse 14, says, for if I pray in a tongue, okay, my Spirit prays, but my understanding is unfruitful. What is the conclusion then? I will pray with the Spirit, I will also pray with the understanding, I will sing with the Spirit, I will also sing with the understanding. And then verse 16, He says, otherwise if you bless with the Spirit, how will He who occupies the place of the uninformed say, amen, at your giving of thanks, since He does not understand what you say. Okay, so he's talking about praying with the Spirit, singing with the Spirit, praying with the understanding, singing with the understanding. So, so he's contrasting, like Paul is contrasting between praying with the Spirit or in the Spirit, praying with the understanding, which means I pray in my own language, the language that I know, my mother tongue, I pray in that, a language, a known language. So he's saying, I will do both, I will pray in the Spirit, I will sing in the Spirit, I will also pray with the understanding and I will sing with the understanding, right. So, just wanted to say, we will again study, when we study back to some of the Holy Spirit, I say that this praying in the Spirit, when we see in these scriptures, we see it's referring to praying in times, okay. Well, the Holy Spirit will lead us definitely to pray for things, right. Suddenly you might feel like, I need to pray for this, I need to pray for this nation, I need to pray for this family member, I need to pray for this friend. That is the prayer as led by the Spirit of God, the Holy Spirit is giving that information, you need to pray, putting that burden in your heart, you need to pray for this, right. The Holy Spirit does that, right. But whenever we encounter this phrase praying in the Spirit or praying with the Spirit, it's about praying in times, because as we see this scripture, it's very, very clear, right. So that's the understanding that is there, okay. Let's look at a few more things. Efficiency 218, okay. Efficiency 218, we have access to the Father by the Holy Spirit, okay. Through Him, which means through the Holy Spirit, we have access by one Spirit to the Father, okay. What is access, sorry. Permission to reach, permission to go, a love, okay. So some, you know, all this laptop has a password lock. So only when I use the password does it open up and gives me access, right. So like that, I'm sure, you know, your email account, you know, you need to give your password and then it gives you access to go in, right. So when we look at, you know, the Old Testament, we see that when right from the time in the Tabernacle, not everybody had access to the Father, not everybody could go to the Holy of Holies, right. I'm sure in Praise and Worship, you're studying about the Tabernacle, right, and how from the, you know, from the outer courts, you move to the holy place and then the most holy place or the Holy of Holies, right. So who could go to the Holy of Holies? The High Priest, right, only he could go and once a year, right. That was it, how it was in the Tabernacle, right. So, but now we have been given access to go to the Holy of Holies, which means we have access to the Father by one Spirit, okay. I think people living in those times would be able to appreciate this even more, right. When we get an understanding, not everybody can, you know, it's not possible, you can't go. People wouldn't have seen what it looks like on the inside, right. They can't go. Every time they had to, you know, it was always through the Priest or sacrifice brought to the Priest, the Priest will do things on behalf of the people or, you know, go to God on behalf of the people and so on. But now we have access by one Spirit to the Father, right. There's no need for, yes, we have one mediator who is Jesus, right, between God and man. If you look at one more verse that is Hebrews 4, right, Hebrews 4, it says, let us therefore come boldly to the throne of grace, okay. Let us therefore come boldly to the throne of grace that we may obtain mercy and find grace to help in time of need. So the way has been provided for us, made for us by the Holy Spirit, right. By the Holy Spirit, we have one access to the Father, all of us. So Hebrews 4 and verse 15 says, come boldly, right, come boldly because, you know, once he's given us permission and if you are still hesitating and saying, no, I'm not worthy, okay, then there's a problem, right. We're not accepting what he's done for us, right.  And you still say, no, no, no, it's okay, I'll just stand there, you know, I'm just standing outside the door, now I'll sit there, I'll talk to you from there, right. So what does that mean? We think that is respect, but actually it's not, right. We think, you know, I'm actually giving great respect, great honor by standing outside, but actually it is not, right. We are actually disrespecting because he's saying, you know, I've made a way, I've made provision by the Holy Spirit to come, to come, to fellowship, to, I've given you access, but if we are not accepting that, that is disrespect, that is being, you know, dishonor, bringing dishonor, right. So here it says, come boldly, since we have access by one Spirit to the Father saying, come boldly, okay. Okay, then we also, in Ephesians chapter 6, same book, Ephesians chapter 6, we see prayer as referred to the sword, or one of the weapons, sorry, the sword is the Word of God. We see a lot of weapons which are listed there for warfare, right. What are some of them? The whole armor of God, shield of faith, right, belt of truth, breastplate of righteousness, helmet of salvation, all those things. So one of the things that we sometimes miss out is verse 18, okay. So the listing goes on. Verse 17, the sword of God, sword of the Spirit, which is the Word of God, and we think, okay, that's it. This is the whole armor, but actually if you see verse 18, praying always with all prayer and supplication in the Spirit. So we see that is also something that is given to the believer, being watchful to this end with all perseverance and supplication for all the saints, right. So sword of the Spirit and prayer, right, prayer in the Spirit, right, praying always with all prayer and supplication in the Spirit. So what does that mean in the Spirit? So yeah, so like we saw in 1 Corinthians 14 verses 14 and 16, we saw that Paul is referring to, you know, the usage is with the Spirit, okay. So in the Greek, the words with the Spirit, in the Spirit, they are the same, just like how we see baptized with the Holy Spirit, baptized in the Holy Spirit, baptized of the Holy Spirit. It's one and the same, it's used like interchangeably, right. So we see here like Paul is saying, you know, pray in the Spirit, right. This is one of the things that we have been given for warfare, that we can pray in the Spirit, right. The Holy Spirit enables us to pray and we pray in tongues, pray in the Spirit and that is a warfare, right. And we also see all kinds of prayer being mentioned there, right, praying always with all prayer and supplication in the Spirit, okay. So the Holy Spirit enables us, leads us. So we see this whole aspect of prayer, you know, is also something that can be led by the Spirit and which can be in the Spirit, okay, because he knows the will of God, especially when it comes to things that we are struggling, like we don't know what we should pray for, how we should pray for, pray in the Spirit, right, pray in the Spirit with the, you know, with the comfort that he knows, right, with the comfort that he knows the mind of God, he knows the will of God, right. And he's making intercession, that is one way by which, you know, we pray and the Holy Spirit makes intercession for us, okay. Okay. And there are several other areas of our Christian life, okay. Worship, there is hope that the Holy Spirit brings in and we are placed in the body, spiritual body of Christ by the Holy Spirit. And all this is by the Holy Spirit, okay. So we, when we, when we study all these things, we see that, wow, there's so much that the Spirit of God has already accomplished in me, like through the new birth, or he's just waiting to accomplish in me, okay. He's waiting to do this in me, like for example, John chapter 4 verse 23, 24, that I think all of us know that scripture, right. He's having the Lord Jesus having conversation with the woman at the well and he's teaching. The woman asked, you know, how you people say, you Jews say that he should be worshiped only here and in this certain place and the Lord Jesus says, the hour is coming when the true worshipers will worship the Father in spirit and in truth, okay. For of such is the Father seeking for such worshipers, the Father is speaking. So when we look at that phrase of worshiping in the Spirit, which means that you worship out of your spirit, it's not something that is, you know, external to internal, but it's internal to an external expression, right. So that is something that we see and it's also something that is led by the Spirit. Why? Because he says worship in spirit and truth, right. So when it is truth, it is as prescribed in the Word of God and it is and the Spirit of Holy Spirit is called the Spirit of Truth, okay. So which means as led by the Spirit. So we see worship and he brings in so much of hope into our lives. He places us when we are born again, you know, this is another, you know, truth, he places us in the body, spiritual body of Christ, okay. So we are all placed, baptized in the body of Christ, okay. And that is also something that that is brought by the, brought about by the Holy Spirit. So let me just pick a few things. First Peter 1 and chapter 22, sorry, chapter 1 and verse 22. First Peter chapter 1 verse 22 says, you have purified your souls in obeying the truth through the Spirit in sincere love of the brethren, love one another fervently with a pure heart, okay. Several things they can learn here again from this verse. You have purified your soul. It's talking about our mind, our imaginations, our thoughts. How is that purity come? It says by obeying the truth. Whenever we obey the truth, there is this cleansing, there is this washing, there is this purifying that is happening in our thoughts in our minds, okay. So he says that that you have obeyed the truth through the Holy Spirit, okay. So which means by the help of the Holy Spirit, again being led by the Holy Spirit, being empowered by the Holy Spirit, you have obeyed the truth and therefore that has resulted in purifying of your thoughts, your imaginations and everything, right. So he helps us to obey the truth. In the same book we go to chapter 4 and verse 14, chapter 4 verse 14. It says, if you are reproached for the name of Christ, blessed are you, for the Spirit of glory and of God rests upon you. On their part he is blasphemed, but on your part he is glorified. So he's saying when you go through persecution, don't fear, the Spirit of God is with you. He's empowering you to actually endure that persecution. The Spirit of glory rests upon you and he said, blessed are you. When you go through reproaches meaning, people insulting, people ridiculing for the sake of your faith in Christ. So all these things, we see that the Holy Spirit helps us as believers. The other exciting thing which needs to be a big part of our life is that we are led by the Spirit of God. As believers, we are led by the Spirit of God. So why do we need the leading of the Holy Spirit? For all the things that we saw, to lead us in sanctification, in holiness, in purity, to lead us into all the things that Christ has, God has prepared for us. To give us knowledge of those things, to lead us into it. One of the things that we as believers, when you come to Christ, we realize, I want to know what God's plan is for my life. I want to know what God has for me. And if we are serious about being a disciple, we want to say, okay God, I want to serve you. Is that Channing? Yes. Can you explain in terms of other dimensions of Christian life, the last one, despising the Holy Spirit? Can you, as under other dimensions of Christian life, the last point, despising the Holy Spirit? Can you explain that please? Okay, okay. So, yeah, just like how we blaspheme the Holy Spirit, you know, okay, Hebrews 6, right? And also Hebrews 10.  Let's go to Hebrews 6 and verses 4 and 5. It talks about how we can become partakers of the Holy Spirit. It says, it is impossible for those who are once enlightened and have tasted the heavenly gift and have become partakers of the Holy Spirit and have tasted the good word of God and the powers of the age to come, if they fall away to renew them, right? So, what do they do? They are actually crucifying for themselves, the Son of God, etc.  From that point, from that place of close fellowship, if one falls away, okay? And that is what we see in Acts chapter 10, okay? If you go to Acts 10 and that scripture there, verse 29, what is this? The reality is this, a believer has all the riches that is available through the work of the Holy Spirit, has the fellowship of the Holy Spirit, the communion of the Holy Spirit and enjoys what the Holy Spirit brings into one's life as a believer. But verse 29, if the person falls away, how he counts unworthy, he thought worthy who has trampled the Son of God underfoot, counted the blood of the covenant by which was sanctified a common thing and insulted the Spirit of grace. So basically, this person has rejected Jesus, rejected everything that the Lord has brought into their lives, all that we have access to by the Holy Spirit, this person has closed and rejected that. So the writer of Hebrews is saying, how much worse punishment will such a person be considered worthy? Because they have tasted, they have experienced, they have become divine partakers, partakers of the divine nature, the promises, everything, and they have chosen to reject, willingly reject and fall away. So yeah, so that is what the believer is capable of despising the Holy Spirit, rejecting everything that the Spirit of God has brought into their lives. Okay, thank you. Right. Okay, you made a comment there about praying in tongues. Okay, that was in response to praying in the Spirit, right? Thank you. Okay, so let's, okay, probably we'll continue next class. We're going to look at, you know, being led by the Spirit. We have this privilege to be led by the Spirit, but also we need to learn to be led by the Spirit. Okay, so learn to discern the leading of the Holy Spirit. Why? The reason is, by nature, we are so prone, I mean, in the sense, we are so sensitive to the physical more than the spiritual, right? Because of a fall, yes, now we are born again, we are redeemed, we are open to the, you know, to the leading of the Holy Spirit, but we are so prone or so sensitive to being led by us senses, what we see, what we hear, nothing wrong. That's how God created us, but we have something even greater, higher than that, which is to be led by the Holy Spirit. Okay, so that's something for us to learn, understand, and walk in. Okay, so we look at it in next class. Thank you so much. God bless you.


Hello friends, welcome back to the channel. In early March, Pokemon put out a tweet advising that a new update would be coming to Pokemon Scarlet and Violet in late April. As of this morning we've had an update on that new patch and it's coming a lot sooner than we initially thought. So like I say, back in March around the 10th of March, Pokemon put out this tweet in regards to a new update that would be coming to Scarlet and Violet to fix primarily the walking wick and iron leaves terror raid event that happened at the time. The patch notes got on to say there were issues where players weren't updating their game before going into this new terror raid event. They were accessing it and instead of one of these new paradox Pokemon appearing, there was a bad egg appearing which players then went on to catch and as a consequence of that these players were then unable after updating their game to catch one of the walking wick or iron leaves Pokemon that were exclusive to this event causing a few issues along the way. Now there were some other issues with the latest 1.2.0 update as well. There was obviously the save data glitch that was wiping players save files that has been slowly getting resolved by Nintendo but that was a big worry for a lot of players. Now no information currently is come out about this issue being fixed in the latest patch but you would hope and assume that things have been implemented in this new update. Prevent that from happening in future to anyone else. So like I say as of this morning an update has come for this brand new patch and it has come a lot quicker. I was expecting it to be right at the end of the month when the walking wick and iron leaves terror raid event would return but as you can see from this tweet an update addressing these issues will be released on April the 20th so as of recording this video on the 19th the update will be coming tomorrow for all of us playing Scarlet and Violet. In addition the walking wick and iron leaves terror raid battle will arrive once more on the 1st of May and run for approximately two weeks so this will allow players who experience the issues with that bad egg in the first place after the update to go back into this raid event when it goes live to catch these exclusive Pokemon in their games and also for anyone that missed that event initially they're now going to have the chance to go back in and catch these Pokemon which is a really nice feature for everyone that did miss that event. For the rest of us it gives us the chance to go in and battle these Pokemon again but the big news is that update and they do say that all of the details for this update the patch notes and things will be published when the update goes live. So I'm assuming that because we are currently on 1.2.0 this is the latest update for Pokemon Scarlet and Violet we will be going on to 1.2.1 and that's what I would assume us to see when the update goes live tomorrow but we'll have to wait and see of course we will cover everything here on the channel including the update when it goes live and all those patch notes to go over all of the fixes that this latest update will provide in Scarlet and Violet but it is great news for us as players especially those are a little bit concerned about going into their game maybe experiencing issues with that save data glitch that can wipe your file although it is very minuscule the chances of it happening to you are very slim it is a worry of course and hopefully there is some more information around this in the new patch update notes nothing has been mentioned as of yet with the update of course so maybe nothing is going to be implemented but it would make sense that the implement fixes to this initial issue as well as the walking wake iron leaves issues that originally kind of cropped up and a lot of players did suspect that it was linked that vivillon pokemon go compatibility between the switch and the other game so hopefully all these issues are resolved people can have a bit more peace of mind going forward but let me know what your thoughts are on this latest news I hope you found today's update useful if you have please drop a like on the video does massively help out the channel and do subscribe if you want to stay up to date with all of our pokemon scarlet and violet content of course like I've already mentioned we will be covering this update as soon as it goes live in game with all of those patch notes as well have a great rest of your day friends thank you so much for taking the time to tune in and take care and I will see you all in another video very soon until then take care bye bye


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Hi, I'm Jenny McMillan-Sweeney, an archivist at the National Archives, coming to you from our facility in Fort Worth, Texas. I am the subject matter expert on records related to women's history at the National Archives, and I'm here today to welcome you to our celebration for Women's History Month. Each year, the National Archives commemorates Women's History Month by recognizing the significant contributions women have made to our country. We are especially excited to celebrate this year under the leadership of Dr. Colleen Shogan, the first woman to hold the position of Archivist of the United States permanently. The National Archives holds a wealth of records and information documenting women's history in the United States, including photographs, documents, audio-visual recordings, and many other primary sources. I'd like to share today with you some records highlighting the stories of a few famous and not so famous women. I encourage you to explore the National Archives catalog to learn more about these records and other records related to women's history at the National Archives. Happy Women's History Month!


Hi, and welcome to the session. I am Deepika here. Let's discuss a question. Find the intervals in which the following function is strictly increasing or decreasing. Minus 2xq minus 9xq minus 12x plus 1. Let us first understand when a function is strictly increasing or decreasing. Let F be continuous on closed interval AB, differentiable on an open interval AB. Then F is strictly increasing open interval AB. If 10x is greater than 0, for each x belongs to an open interval AB and F is strictly decreasing if its derivative is negative. If F dash x is less than 0, for each x belongs to AB. So this is the key idea behind our question. Let us take the help of this key idea to solve the above questions. Given Fx is equal to minus 2xq minus 9x square minus 12x plus 1. Therefore, F dash x is equal to minus 6x square minus 18x minus 12 and this is equal to Let us take minus 6 comma x square plus 3x plus 2. Now factorize x square plus 3x plus 2. This is equal to minus 6x square plus 2x plus x plus 2. And this is equal to minus 6x into x plus 2 plus 1x plus 2. And this is equal to minus 6x plus 1x plus 2. Now F dash x is equal to 0 gives x is equal to minus 1 or x is equal to minus 2. Now the points x is equal to minus 1 and x is equal to minus 2 divides the real line into 3 disjoint intervals minus infinity to minus 2 minus 2 to minus 1 and minus 1 to infinity. Now let us consider these intervals one by one. We will see the derivative of our given function is positive or negative. If it is negative, then our function is strictly decreasing in that interval. And if it is positive, then our function is strictly increasing in that interval. Now for x less than minus 2 F dash x is negative because in the interval minus infinity to minus 2 both x plus 1 and x plus 2 are negative and their product is positive. But when they are multiplied by minus number again we will get F dash x is equal to minus number. Hence F dash x is less than 0 for x less than minus 2. Therefore F is strictly decreasing in this interval in minus infinity to minus 2. For minus 2 less than x x less than minus 1 F dash x is bigger than 0. Therefore F is strictly increasing in this interval in an open interval minus 2 to minus 1. For x greater than minus 1 F dash x is again less than 0. Therefore F is strictly decreasing in this interval. Hence the answer for the above question is function is strictly increasing for minus 2 is less than x, x is less than minus 1 and strictly decreasing for x less than minus 2 and x greater than minus 1. Hence this is the answer for the above question. I hope the question is clear to you. Bye and take care.


both from Orange County, California. And we are the 2015 EHP Lab Vegas Experience winners. So we got flown out from Orange County to LA and they got us into the Orleans. Las Vegas, it's awesome, it's actually sponsored by the Olympia.  The special about this trip was that I got to train with and he's an amazing dude. He taught me a lot just what he was teaching me. I can take that home and really utilize it and actually go from it. Yeah, so they gave us each $500 worth of a gift pack. We got the Oxygen Shred, we got their newest product, which was a strawberry milkshake protein. We tried it at the convention, it was so delicious, I'm so excited to take it home. I gotta say it's a man, just it was massive. We got full experience because we were there very early. So we got to walk around before anybody was there and we got to communicate with a lot of the people there and just amazing people. It was awesome, I mean, I think that was the biggest thing is that we were the VIP so we got there an hour before everyone even came in.  So it was so cool. So what we got to describe the EHP Lab, which was really cool from the rest, is that it wasn't on stage. So you could actually walk in and talk to them and be there and actually talk to the athletes and not be like booted off stage because it's, you know, everyone's in line and it's in a hurry. So you had that one-on-one connection with everyone. It was so cool.  Yeah, they really made us feel like family. I honestly felt like one of the athletes. I love the fact that, you know, we were able to take pictures with everybody. I really felt part of the family. It was amazing. So one of the things that I think was so special is that they really made us feel like we're one of the athletes. I'm so blessed and so happy that I got to experience this and I hope we stay in touch because they're such amazing people. When we first got here, we drove to the hotel. Many of the people that we followed, you know, in the fitness industry were there, you know, so they were just walking around and I'm just like, wow, you know, I see I'm on Instagram, but now I see, I'm looking at them in person. And we bond it with everybody. We bond it, you know, everybody. Yeah, I mean, I could say I've never heard of any other company doing this. Reach out to your fans and be like, the EHP allows for this wonderful trip. This is something we will never forget.


Welcome to the journey today. We're gonna go over how to improve your digital storytelling using Instagram stories All right Emma, so tell us all why is Instagram so important? Well first off there's a billion active monthly users on Instagram and you might be thinking okay cool But how does this relate to my business right well 70% of the consumers there? They're searching for a business and 80% are following a business like yours. Wow, so are you on there? Are you? Let us know in the comments below. Tell us more. How can we really utilize Instagram and Instagram stories for our business? Yeah, so that in the moment content is really what I get excited about when it comes to Instagrams for businesses like yours And what's really cool about in the moment content Instagram stories is that you can get a really authentic feel for your business So just think about it like you have stuff going on all the time whether you are in auto repair shop Right making pastries in the bakery or you're getting someone's hair done, right? You're giving a balayage before and after shots. Yeah, it's on behind the scenes It's gonna give you an authentic feel and look for your business and that's what we want especially Millennials Yep, tell us some of the content that we can really create inside of Instagram Yeah, so really embracing that in the moment content. We're talking videos Boomerangs also, you can use customer testimonials that you've already received. That's great. It's good word of mouth Yeah, another one besides boomerangs and video content is pay attention to when your customers tag you They're already at your business. They're a huge fan and then when they tag you not only are they giving you great Advertising word of mouth, right? It's free, but then you can repurpose it reshare it There's your content for the day and that's user generated content If you want to know a little bit more check out this video and we go in-depth and even dive in That's true. All right Emma, so give us some best practices give us a lowdown on using Instagram stories Totally, so definitely want to be consistent with font and color. Okay. Also be sure to tag your location I mean, this is great to get more exposure I know when we were out here in Kirkland in Seattle and we started doing some behind-the-scenes for the journey some BTS BTS I actually tagged the location and it helped quadruple my views So be sure to do that as a business tag your location and tag the people who are also in the video So other thing that's really fun to leverage on your Instagram stories stickers So you can have a ton of fun you can add Gifts you can add music and think about how that would bring things to life You could do back to the pastry example in the bakery whipping things up add an 80s song to that Right, you might even reach a whole nother target audience Which could be customers of yours down the road and it just makes your content just more fun brings it to life Which is what is important? Absolutely, and it's fun, which you know we lecture on this Don't forget to have fun when you are on social media for your business All right, that's a wrap. You just learned how to improve your digital story telling with Instagram stories Make sure to like and comment on your favorite tip below Subscribe to the channel ring that bell if you want to see these first But before we end this let's create some behind-the-scenes content right now Instagram story. Let's do it


No, not about that. Where do things go so right in my life that I've got my name on a mug now?  And now, look at that. Lock the chickens. Are we having a scene yet? I'll be starting. I thought that's what you were going with. No, I'm not. What were you thinking of, right? Superb. So he's stepping up here. He's been very confident all morning. Got the driver out as well. Not sure about his long socks. 10 lines for fun. Good swing though. Children's clubs today for Eastie. That is a lost ball. You don't like seeing that.


Greetings and welcome to the Introduction to Astronomy. In this video, we are going to look at a couple of things and that is the idea of light and what the electromagnetic spectrum is. Now, light is how we see everything in astronomy and the only way we can really study most astronomical objects because all we can do to study things like stars and galaxies is to look at the light that comes from them. But the point we want to get across here is that light is not the light that you're necessarily thinking of, which is visible light, but includes an entire range of types of light that go well beyond that. So let's look at some of that here. So what do we mean by light or what is light? Well, light is a form of electromagnetic radiation, sometimes given as EM radiation. It is energy released by moving charged particles and it applies not just to the light that we're used to being able to see, which is this portion over here of the visible spectrum, the colors of the rainbow of red through violet. If we look at what that is, that's expanded here, that is only this very tiny portion of the entire electromagnetic spectrum. There is a lot more to this in terms of objects like radio waves down here, microwaves, infrared, ultraviolet, x-rays, and gamma rays. Up here we have the very high energy types of radiation. So things like x-rays and gamma rays are very high energy radiation and radio waves are down here at the low energy portion. So we have various types, amounts of energy, types and amounts of energy that would then be present. And it all depends on things like the wavelengths or the frequencies of the particles that we'll look at here. But light itself is a very interesting type of object. We sometimes look at it. Is it a wave or is it a particle? And we're going to see that it actually has combinations of both of those. So is light a wave or is light a particle? And what we're going to find out is that it is both. And it is both at the same time. So let's look first at the wave nature of light. A wave pictured here has things like a crest where it reaches its peak, a trough where it reaches the bottom, an amplitude which is how large the disturbance is, and a wavelength which can be measured as the distance from the one crest to the next crest. So we can measure that wavelength. So the different types of light can be characterized by these. And we measure them. We have a wavelength which is just how far apart the waves are.  So how fast do the waves come by? Well, you have hundreds or thousands, or when we get to light waves, millions or billions of them passing you every single second. And that would be the frequency. The higher the frequency, the higher the energy. So if you have a very high frequency, that would be things like x-rays and gamma rays. You have a very high energy. If you have a very low frequency, you have a very low energy. Now, in terms of light waves, when you take these two and you take the wavelength of a specific type of light and you multiply it by its frequency, you always get the same number. And that number is 300,000 kilometers per second. And that is what we know is the speed of light in a vacuum. We see the speed of light as a universal speed limit. How fast can something go? Well, there's a limit to how fast it can go, and that is the speed of light. Nothing can go faster than light in a vacuum. Now, the speed of light can change if you're on Earth, if it's traveling through the atmosphere, if it's traveling through glass or any other object, the speed of light can actually change. But in a vacuum, there is a maximum value for the speed of light. Now, what are some ways in which light behaves like a wave? Light waves interfere with each other just as water waves do. If you have multiple water waves together, they can add together and make much larger waves or subtract from each other and make much smaller waves. Light waves can do the same thing. We also see things like reflection, refraction, and diffraction of light waves that would only occur if light has a wave nature. And finally, the Doppler effect, how we measure velocities in astronomy, would only occur if light had a wave nature. So this seems to show us that light is a wave, but light also has particle properties. And we want to look a little bit about those. When we look at particle properties, in this case, particle properties are that we have the particle nature of light, and we see light as a bunch of photons. Photons are packets of energy, and they can be particles much like an electron or a proton. The difference is that they are essentially massless and that that's the only way they can then travel at the speed of light. We can determine the energy of a photon by calculating its frequency. If we know what its frequency or wavelength is, we multiply it by a constant here, and that gives us the energy of that photon. So a photon with a very high frequency has a very high energy and a very low frequency would have a very low energy. Now, one of the big ways that photons are seen to be particles is through the photoelectric effect. Now, this was seen by Einstein about almost 100 years ago or so that when you could shine light, shine photons on a piece of metal, that if you had a sufficient amount of energy, they would be able to release electrons from the metal. So if you had the right amount of energy, the electrons would be released from the metal and be able to, for example, then travel to another piece of metal and complete a circuit. So it was an example of the photoelectric effect. If you had insufficient energetic photons, for example, if this needed, say, blue light to be able to eject the photons, you needed the energy of a blue light photon to be able to inject this. Then you had that you could shine all the red light you wanted onto it as bright as you could and you would not be able to complete the circuit because those red photons did not have sufficient energy. But as soon as you got down to the blue photons, as soon as you got down to that right energy, then you were able to release those and have the electrons then be released. Another way is through gravitational deflection. Einstein's general relativity tells us that light will be bent as it passes near a massive source, and that is another way in which light behaves like a particle, as waves would not have this same type of effect. So let's look at the entire electromagnetic spectrum here. Again, it looks at all the different wavelengths, everything from gamma rays over here through radio waves over here, and those types of radiation, as we've already discussed, depend on the amount of energy. So very high energy, high energy, low energy over here. And it depends on the wavelength. So these have a short wavelength and these have a long wavelength. Now, certain types are able to get down to the ground. For most of history, of astronomical history, up until about 100 years ago, we used the optical window. That was how everything was observed, and that was through that very tiny portion of the electromagnetic spectrum that we know is visible light. In the 1930s, we added in the radio window. It was always there, but that's when we had developed the technology that would allow us to be able to detect radio waves from space and get a completely new picture of the universe. Now, to observe some of the others, like x-rays and gamma rays, we had to get above the atmosphere, so it wasn't until rockets in the 1960s that allowed us to get up and finally launch satellites that would allow us to observe things like gamma rays and x-rays and even study things like ultraviolet and infrared in far more detail. So the entire electromagnetic spectrum is now giving us a more complete picture of what the universe looks like. Now, let's take a little aside here and look at temperatures, because temperatures are important for these objects. So what do we mean by temperature? Well, the temperature is the measure of the average kinetic energy of the particles. So if you have a glass with a liquid in it, how fast those particles are moving will tell you the temperature. The faster you get them moving, the higher the temperature, the slower you have them moving, the lower the temperature. Now, that kind of begs the question, what would happen if you could stop those particles from moving altogether, if you could continue to decrease the temperature? In that case, we would reach what we call absolute zero, as cold as things can possibly get. Now, pictured here are a couple of the different temperature scales. In the U.S., we use the Fahrenheit scale. In most of the rest of the world, we use the Celsius scale. However, astronomers will use the Kelvin scale for the vast majority of their work. And the Kelvin scale is set up based on this absolute zero. Absolute zero is as cold as you can possibly get because once things stop moving, you can't make them any colder. So this would be zero Kelvins or absolute zero. And space would be three Kelvins. So the temperature of outer space out where nothing exists, out in the depths of the universe, would be about three Kelvins. That's as cold as things get. So particles are not moving much at all. Now, as for a comparison, at Celsius, we would read that as negative 273 Kelvin. So no matter how cold it gets, we never are getting anywhere near absolute zero here on Earth. And the Celsius scale, zero degrees is where water freezes, and that would be 273 on the Kelvin scale and 32 degrees Fahrenheit on the Fahrenheit scale. Now, we can convert between these two types. Conversion between Celsius and Fahrenheit is a little more complex, and I'm not going to go into that here. Between Kelvin and Celsius, it's very easy. It's just an offset of 273 degrees. So if you have a temperature in Kelvin and you want to convert it to Celsius, you subtract 273 degrees. If you have a temperature in Celsius and you want to convert it to Kelvin, you just add 273 degrees. So it's simply an offset. Nothing more complicated than that to be able to convert between Celsius and Kelvins. And honestly, when we get up to many of the temperatures that we talk about in astronomy, when you're talking about thousands, tens of thousands, and hundreds of thousands of degrees, it really doesn't matter whether you're talking about Kelvin or Celsius, because at the center of the sun, the temperature is about 15 million degrees. Does it really matter, though those 273 degrees really matter at that point? And in effect, they do not. So our last topic for this section we want to look at is the radiation laws. Now, radiation laws, and there are two of them that we'll look at, are based on the idea of black-body radiation. And black-body radiation is an ideal radiator. And that means that it absorbs all of the light incident upon it. That's how it gets its name.  So an ideal radiator, it would absorb everything on it, and it would give off light based only upon its temperature. So stars are an example of this. They are a pretty good example of a black-body radiator. And the type and amount of radiation that they emit depends only on their surface temperatures. Now, let's look at these two laws. The first one, the Stefan-Boltzmann law, tells us that the higher the temperature, the higher the intensity at any wavelength. So when we look at these stars in the graph here, we have stars ranging from 3,500 Kelvin to 5,500 Kelvin. If you look at the curve for 5,500 Kelvin, it is always above the curve for 3,500 Kelvin. So while it emits more light, it emits more energy at all wavelengths, overall, no matter what wavelength you pick, even out here someplace, if we look at this wavelength right here, then we're still getting more light from this star than we are from this star. So what it tells us is that the higher the temperature, the higher the intensity, the bigger the curve is going to be, and that it does not matter at what wavelength you look. So even though this cooler star emits more of its light in the red, it still means that the hotter star is going to be emitting even more than that. So it is going to be emitting even more in the red than this cooler star. It's just a matter of where the peak occurs. It emits most of its light in the green. This one emits most of its light in the red and infrared. But in terms of the amount, the hotter star, hotter object is always emitting more energy at every wavelength. Now the second radiation law is Wien's law. Wien's law tells us that the higher the temperature, the shorter the peak wavelength. So that's the shift that we're seeing here. Let's clear this up a second. So the shift that we're seeing here is that if you notice the peak is going from here to here to here to here, and it is shifting towards the right-hand side. So the higher the temperature, the shorter the wavelength, and the cooler the object, the different color it's going to look. So this very cool object is going to look red in color because most of its light is being emitted in the red and the infrared. A very hot object would look bluer in color because most of its light would be emitted in the blue. So the peak wavelength does change with temperature as well. Extremely hot objects would give off ultraviolet. Very hot stars emit most of their energy in the ultraviolet part of the spectrum. Very cool stars emit most of their energy in the infrared part of the spectrum. So in those, we do not even see most of the energy that they're emitting when we look at visible light. That's one of the reasons it's very important for astronomers to study all various, all the wavelengths and all the types of electromagnetic radiation. So finishing up with our summary here, what have we gone over? Well, the electromagnetic spectrum itself is more than just visible light. So it is not just the visible light, but it includes all of those other parts that we see, x-rays, gamma rays, and radio waves as some examples. We talked that light has a dual nature. It behaves as a wave and a particle simultaneously. Various observations that we make of light can only be explained if it's a wave, and others can only be explained if it's a particle, and that gives light this dual nature. And finally, we looked at two radiation laws that tell us how the spectrum will vary with the temperature. Hotter objects giving off more energy and more high-energy radiation. So that concludes this lecture on light and the electromagnetic spectrum. We'll be back again next time for another topic in astronomy. So until then, have a great day, everyone, and I will see you in class.


S'nestrunk Welcome back to Triumphant music with S'nestrunk playing Secret of Mana I Didn't want you the viewing audience to miss out on the stirring trip to the grocery store Yeah, you always want to reload on candy anytime you get You get a shitload of gold for beating that tiger So we want to buy lots of chocolates and buy lots of candy And that's pretty much it So, yeah, we'll meet you outside Well three music changes there. Oh now you're coming along. I see how it is Like the fit like the face he makes We want to get our weapons back in order With the bow and arrow actually I think I'll put the whip on her now that I think of it That's the best weapon It it's useful. I think it does a little bit more damage. I don't know. It's pure speculation. I just like the whip better Really, it's totally subjective You do always want to have one Long-range weapon equipped on one of your party members.  I just like how the whip sounds in this game Just very satisfying sound I didn't do a very good impression there, but the treasure perhaps some gold Candy won't fit got too much so anyway, yeah, we got to go to the water palace and see what the hell's going on with Luca and And Something tells me it has to do with a certain What do you call it a certain mage I guess Sorceress of some kind and my brother and I used to laugh at her name and I'll explain when we get there Hey, what are these bees doing here they hear before I don't remember it was just these Raccoon guys and bats So yeah, anyway, I own Like I said my brother bought this game when I was a kid he probably was like 15 and I was like 10 he Insisted it was his idea that we keep the boxes we keep the instruction books and we keep them in absolute mint condition I don't know if he had the idea that like you're gonna be worth a lot I think he just liked having stuff and liked having stuff in nice condition and we can like, you know like having a record a Vinyl record. It's like a package.  Oh You know what I got her name wrong undyne. I'm thinking of another game nevermind. I thought it was Medina I don't remember what Medina is from but there was a There's a club in yeah, we got to go save her There's a turn off the stairs before you leave There's a club in Minneapolis or at least there was called Medina way back in the day and They always hosted like the shittiest over-the-hill 80s hair metal bands like like I used to listen to a lot of Radio hard rock radio in the early 90s when I was a kid and Because I loved guns and roses.  Oh well Undyne Yeah, these fish give you bad levels Thwecked Now this coming up is a very goofy boss fight The hell's this thing?  Of course, I can't really control what my partners do This is what this is how you beat the guy See the whip is oh, I did not I was sloppy You got a switch to her and I better take a Chocolat Anyway, yeah, so I still have the box and book for this game and although like the little advertisements that came with it the cartridge itself all in really great shape but Really The collecting aspect of it is I never really got too into that myself like buying a game like Ninja Gaiden trilogy just for the sake of having it even though I own Ninja Gaiden and Ninja Gaiden 2 for NES Like that is Pointless and even and some people would give me shit for this but even Donkey Kong Country 3 I own Donkey Kong Country 1 and 2 But I don't own 3 because I don't really like 3 that much.  The sound is better. The music is better See if I can whack this guy here There we go and the SNES ports are just bad. They're just bad There are a few other games like that too like You know arrow fighters is another really expensive one that's a decent that's a good game and it's got great multiplayer Support there's no slowdown But I mean, there's other games that support that hey, I gotta work for the love Wow very serious music here Damn Hey, it's undyne We're standing to her left for some reason Love this music. It's great Do a fist pump penny You got magic Do a dance Clyde Doug Hey, what about me? That's a cop out So kind of like in Chrono Trigger, right? Even though this game was first actually not at all like Chrono Trigger Chrono Trigger ice sword is way cooler That's I think In fact if I remember correctly the the ice sword thing here turns the enemy into a snowman Anyway Yeah, let's take a look at yeah, you just Scroll up on your your wheel of things here and you can see also You get usually get three different spells for each thing and we'll check those out next time Thanks for watching and have a great rest of your day