Okay All right, welcome back everybody to our second lecture on BC 106 interpreting scripture we're just talking about Interpreting prophetic scriptures and just giving some Pointers on how to interpret prophetic scriptures So let's pick up at point number eight which We said the PDF Okay, so another important thing with prophetic scriptures It's a keep in mind that There are Certain prophecies Old Testament prophecies which have a Dual fulfillment in the sense. This is point number eight in the sense of Spiritual fulfillment in the church and a literal fulfillment in Israel So although the prophet in the Old Testament was prophesying is speaking to Israel that prophecy is fulfilled first in the church and It will be fulfilled literally In Israel. So some examples would be Joel chapter 2 Joel is prophesying which I come to pass on the last days. I will pour out my spirit on all bless Your sons and your daughters will prophesy Your young men will see visions your old men will dream dreams Now he's speaking to Israel. He's not speaking to the church He's prophesying to Israel as a nation But When the church is born on the day of Pentecost Peter stands up with reference to the church and He is saying this is That which was spoken Like Joel and this is that which was spoken So Joel prophesied The church's birthed and Peter is saying it's happening here now, but we know that So that's a spiritual fulfillment. So we refer to that. Okay, that's a spiritual fulfillment And that continues to happen today in the church And so when we are preaching all over the world, you know, all the Gentiles like wherever there's oh God is pouring out his spirit on all bless Now, how can we say that? It's applying to us because Peter by the Holy Spirit said What Joel prophesied is for us today Yeah, and and Peter went on in that sermon. He said this promise is to you It's to your children is to all who are far away It's to as many as a Lord our God should call acts to 38 39 So basically saying Joel's prophecy is for everybody As many as a Lord our God will call that means it's being fulfilled spiritually in the church Right now But at that time he was speaking to Israel And it will be really fulfilled in Israel. You read about that in Zechariah 12 verse 10 and the Christ comes During the tribulation at the end of the tribulation when Jesus is coming back Zechariah 12 and God says I will pour out my spirits of Grace and supplication on the house of Israel And They who pierced him will see him Meaning the house of people of Israel and they pierced him right they will see him God says I will pour my spirit on all of them So it will be literally fulfilled During the tribulation With the people of Israel, but it is first it was first fulfilled spiritually by the church You understood also very interesting is That In Joel's prophecy he spoke about Your young men will see visions Your old men will dream accept to Did anybody have a vision did anybody had a dream act chapter 2 in the upper room? 120 were there What happened? There was a sound of a rushing mighty wind They were tongue higher They spoke with No vision no prophecy no dream Joel said I'll pour out my spirit Young men will see visions old men will dream dreams your sons and daughters will prophesy orange banana here tomato And Peter is He's comparing he's saying this safe Apple orange banana is not same as onion tomato potato But Peter by the Holy Spirit saying this is that point is When the Holy Spirit moves when the Holy Spirit is poured out it will be different manifestations All right, that's the point Yes, Joel said visions dreams prophecy that didn't happen on the day of Pentecost There were the sound of from heaven tongues of fire people speaking in tongues was not the same thing literal exactly same thing, but it was the same Holy Spirit moving different manifestations And we see that throughout in the in the in the in the revivals of the church Same Holy Spirit is moving, but the manifestations are different It's okay Holy Spirit is moving Just the expressions may be different Okay, so just keep that in mind. That's a side note so another example of our spiritual fulfillment of the church is Amos prophesied Amos chapter 9 I think it's verse 11 through 13 Amos prophesied He said Amos said God is saying in the last days. I will rebuild the tabernacle of David's and The Gentiles The sons of Edom the Gentiles will come seeking God And the sower will overtake the reaper This is Amos chapter 9 11 through 13 The sower will overtake the reaper. So what Amos said? In the last days, I will build again the tabernacle of David The Gentiles will come seeking God The harvest would be so great Sower will overtake the reaper How do you say it in Hindi? Something like that So the So the sower will overtake the reaper What does that mean? The harvest will be so much They'll be reaping reaping reaping. They can't finish But the sower will come here. I'm ready to sow So the sower is overtaking the reaper. That means the harvest is so much. They have not been able to bring the harvest in And the sower is coming back and saying I'm ready to sow more seeds So that is a picture of big harvest sower overtaking the reaper. What was that word again? bo bo ne wala Khatne walaise Seetra, okay sower will overtake the reaper. So Amos said that God will rebuild the tabernacle of David What will happen the Gentiles will come seeking God And sower will overtake the reaper Amos said that Then in Acts chapter 15 James Who was the leader of the church in Jerusalem at that time Acts 15 verse 15 James is standing up and saying Oh, what we are seeing happen now Is what Amos prophesied This is an Acts 15 Okay, there is no tabernacle of David no physical tabernacle That means no physical temple So tabernacle of David basically David built the tabernacle a tent place where people are worshiping the Lord all the time the worship went on for 30 33 years So God says I will bring that tabernacle back I'll build that bring back that Basically the temple and then then Solomon built the temple where worship continued But when James was speaking in Acts 15 verse 15 There was no temple There was no tabernacle But he is saying As the prophet spoke it's happening now That means he's saying what we we are who was there the church The church was a fulfillment a spiritual fulfillment Of Amos chapter 9 11 to 30 Church is a spiritual fulfillment. That means the church is seeing The fulfillment of the Gentiles coming in And when the worship is restored in the church the church is worshiping Jesus Then these two things will happen Gentiles will come and the harvest will Though be so great That we won't be able to finish or gathering all the harvest It'll be so great but The same prophecy Amos's prophecy Amos 9 11 to 13 Will also be literally fulfilled in Israel. They will have A temple that will be rebuilt where they will be worshiping God That will literally happen, but it is spiritually being fulfilled in the church today You understood Okay, so that is another thing to keep in mind about Certain prophecies given in the Old Testament That are how that are having a spiritual fulfillment in the church But it will still be literally fulfilled by Israel Both will happen Okay, you will see again. We just given two examples there. Just a few more things point number nine is There are certain prophecies we had to keep in mind I have dual fulfillment that is an immediate and a future So example in Genesis 3 15 the Lord spoke to the serpent serpent From now on you will crawl on your belly Which means maybe he was moving around in a different way. I don't know But now as you crawl on your belly And there will be enmity between you know people and the snake You will hurt their heel, but they will crush your head So that is literal today till today it's going on We crushed we when we see the any serpent where you will hit it you'll try to hit it on the head Not the tail Because you know, that's the part if you hit the head it finished So that is literal But there is a spiritual significance talking about Jesus Who will crush the head of the serpent Jesus was born of this as a seed of the woman Who will crush the head of the serpent? So there is a dual fulfillment, right the immediate which was natural and The one that was out in the future was Jesus would come and he would crush the head of the serpent the devil So So that's an example for dual fulfillment so you'll find other examples of such um So in prophecy, yeah Look for prophecies that are you know, maybe sometimes part has already been fulfilled And part will be yet to be fulfilled So Distinguish it too, right? Okay. This has already happened. This is going to happen For example in Joel chapter 2 In in in one prophecy Joel said it will come to pass in the last days that I will pour out my spirit on all flesh um Yes, your sons and daughters will prophesy your young men will see visions and Your old men will dream dreams upon my servants and my handmaidens. I will pour out my spirit And the sun shall be darkened and the moon will be turned to blood reds That part is not yet fulfilled Right. So in that one prophecy one part is already fulfilled in the church But the other part about the sun being dark and the moon being turned blood red That's going to happen in the millenia in the in the tribulation He's read about in revelation 6 and 8 two times in two judgments that will happen Okay, so that is going to happen Whereas one part has already been fulfilled, right? So let's keep these few things in mind As we go about interpreting prophetic scripture We will study Daniel and revelation in detail In in the third year any questions before we change chapter Yes, right Sorry, some prophecies are some prophecies have been fulfilled. The others have not been fulfilled I'm sorry. I can't hear some prophecy have been fulfilled some have not been fulfilled. Yes So relating to all the prophetic books so So would you say that those prophetic books Like I mean a few parts here and there talks about Jesus or it's relating to revelations And all that but the others like is it going to be fulfilled? All of it all the prophetic books are the prophecies going to be fulfilled Okay, your question is Um Have all the prophecies been fulfilled. Is that what your question is or are a lot a lot You mentioned like some have been fulfilled. Some have not been yet. Yes So are all the others going to be fulfilled? Yes So a large number of prophecies in the bible have already been fulfilled I think like somebody counted them. I don't know what the number is but like over 10,000 some prophecies fulfilled prophecies That's why The bible is such a reliable prophetic book You know, so I mean Especially example the book of Daniel It is so amazing that people doubt the book of Daniel. They say, how can a man prophesy like this? You know, so they question it but for example Daniel was In the time he was serving in the Babylonian empire I mean Nebuchadnezzar had the dream God was showing him the next four world empires. He was showing him The that the Medes will come take over Then the Persians then the Greeks and then there will be another empire coming in You know and then after that there will be another A time when The Roman Empire what was a former Roman Empire, but the iron and the clay will mix And there will be 10 toasts and leaders and in out of that will come God lift up this his kingdom So Daniel was at that time in the Babylonian empire and he was foretelling Of course, God was showing him all these world empires other empires that were going to come And everything I mean not everything a lot of that happened meaning the Medes came into power So Daniel was there He was serving under the Medes Then the Persians came in power. Daniel was serving under the Persians So he served under the Babylonians the Medes and the Persians, but he also foretold Greeks will come next which happened He was not there to see it But he's now looking back in history because yeah Greeks came He prof he foretold about Alexander the Great He foretold about how his kingdom would be broken into four four parts that happened exactly And then he talked about the coming of Christ the messiah So When people look at the prophecies of Daniel they say how one man say all these things Can't be you know because it was so accurate. So and he was speaking centuries ahead of time, you know, so The point to answer your question I'm saying all kinds of things but to answer a question. Yes many prophecies of the bible majority the prophecy of the bible are fulfilled What is left are the things concerning the end times And things out in the future the millennium and all of that But we can be so sure that those will be fulfilled because of all other prophecies that have already been fulfilled What is your question? What's your question? Okay, any other questions Let me see online If any of our online students have questions any questions from the online students Okay All right, so if there are no questions, we're going to go to the next chapter Let's go next. I haven't put this pdf On the classwork. I'll do it later today after The third lecture. I'll just share I'll do that So I'm sorry. It's not there yet. I will upload it Lesson number 12 so In this lesson, we want to talk briefly about The Old Testament in the New Testament. So What we do know Is The New Testament Looks back at Old Testament other Old Testament scriptures A lot of the Old Testament scriptures is Explained or referenced for us In the New Testament so it's connected And I like how somebody put it The New Testament Is in the new is in the old concealed The old Is in the new reveals That means The New Testament is hidden in the Old Testament and the Old Testament is explained in the New Testament Okay, the new is in the old concealed The old is in the new revealed. So they're very closely connected Old and New Testament So as we are reading The New Testament from the Gospels on Will be references back to the Old Testament Example right in the birth of Jesus It says oh this happened. So when they When they When Joseph and Mary took baby Jesus to Egypt Then the right gospel writer says for out of Egypt. I have called my son So he's quoting from Old Testament Then oh Bethlehem You know a franta Bethlehem Out of you will come Him who will to be the ruler of the nation So he's right from the beginning of the Gospels There are references to the quotations from the Old Testament. So basically Unlike that I mean give the give the always in the Gospels Even in the ministry of the Lord Jesus And he is preaching he quotes from the Old Testament That's what they had it on those days. So he's quoting from the Old Testament He quotes from them. He points to examples in the Old Testament After his resurrection When he is walking with his disciples, he takes them through the Old Testament And mentioning all the scriptures that were pointing to him You know, so he says see Old Testament scriptures was pointing to to to himself to Jesus So even the Lord Jesus referenced it now Paul in his writings in his epistles Especially in Romans He references the Old Testament a lot And he quotes from the Old Testament Romans In other scriptures and Galicians he quotes from the Old Testament The writer of Hebrews quotes a lot from the Old Testament Peter quotes from the Old Testament so In many of the right in many of the right books of the New Testament Referencing the Old Okay, so Why are these quotations and how are these quotations used and how should we? You know use of them now in some cases They are not sure of the exact location of The quotation It's maybe a reference meaning it's Word for word quotation, but it's like saying okay, like somebody says, you know And nowadays when you hear people saying they just say the Bible the Bible says and they will Say something they may not be quoting word for word an exact words But they're giving an essence of what the Bible Or what the Bible says So in that sense we can understand and make one example is in John 7 where Jesus says As the scripture has said Out of his belly shall flow rivers of living water John 7 38. So there's we can't point to an exact Word for word reference in the Old Testament But we can say well like Isaiah said he used thirsty let him come to me and drink, you know So that could be the context in which Jesus is mentioning this Okay, so we may find a couple of those those kinds of incidents, but most of them you could always point it's okay He's quoting from here So there's some reasons why we have these quotations and we've just mentioned these reasons here Uh to show that an Old Testament prophecy was fulfilled. So you'll find okay this happened so that What that prophet said was fulfilled. So it's showing you it's a fulfillment um The or to show us that what is being done the New Testament is actually agreeing With what the Old Testament is saying So like we said uh aim is we aim us and miss nine Active can be just mentioned. So that's an example. Okay. This is happening just like the prophet said Although the literal fulfillment wasn't there there was no tabernacle of David But the essence of what was happening, which is the Gentiles are seeking God This is a spiritual fulfillment of what the prophet said, right? So he's pointing back to that um Or the New Testament could be Explaining further elaborating further On something mentioned in the Old So we could look at Joel 2 and Acts 2 There on the day of Pentecost the experience is actually happening and Peter is saying this is What Joel said hey, that's what's happening here. It looks very different, but this is that Right, uh, that's what he said the Holy Spirit is going to move upon us The Holy Spirit is moving on us, you know, but if you look at the details, yeah, maybe there are variations But don't get caught down with the variations. This is the work Of the Holy Spirit and it's expanding the understanding of that. That's point number three Or uh, sometimes something of the New Testament Is being supported by what was stated in the old so Martin and Genesis 2 24 Jesus is saying he's teaching about marriage and he says A man shall leave his father and mother be joined to his wife and they too will be one flesh Okay, so he's teaching about marriage in the New Testament But he is quoting obviously is that and they only had the Old Testament. So he's using Genesis 2 24 To show that that same principle Concerning marriages continuing in the New Testament Continuing in the New Testament same principles continuing, right? So That that is being established Paul uses a lot of the Old Testament To explain or teach us New Testament truths Right in the New Testament many many actually the book of romans is is is is very powerful because He quotes so much from the Old Testament in the book of romans almost every chapter almost every chapter in romans He's referencing something in the Old Testament talking about sin talking about the law Talking about Abraham talking about righteousness by faith Paul is teaching us New Testament truth From the Old Testament scripture so New Testament revelation, of course it's you know, it's showing us a lot more giving us more understanding But in order to bring us that understanding he is pointing back to the Old Testament and teaching us, you know, so New Testament truth is even Hot to us So there's several reasons here That we can see on on the use How and how how and why the Old Testament is used in the New Testament Uh, there's some guidance here on interpreting Old Testament references in the New Testament I haven't covered all those points here, but When we Are interpreting Old Testament references In the New Testament understand the context Right understand what is being talked about in the New Testament And understand what was what is being referenced from in the Old Testament and important is See sometimes What we read in the New Testament Is going to help us better understand the Old Testament So you come into the New We did it here. Oh Now I can go back to that Old Testament. I can understand it better but What we must not do is don't Put into the mind or put into the Old Testament what is not contained there Right, we can we can understand it better. But remember when the person writing it They had a context There is a literal aspect of it So that must be retained example You know the New Testament Jesus is referred to as the Passover lamb So okay, so then he go to Exodus chapter 12 So if they Did Passover They took the lamb they cut it They took the Hissab They applied it to the doorposts of the house Now that was literal It was a literal lamb Right, so we shouldn't Did they know that that lamb was pointing to Jesus? They didn't know They were just following instruction Moses said hey tonight That the angel is coming if you want to stay alive you do this Everybody. Yeah, we want to stay alive. He'll do what you say They followed Moses That was the mindset they were not thinking this is a holy lamb This is pointing to the messiah Oh, this is the blood of the lamb That's going to wash my they did not know anything of that Right, so don't Put into into their minds. Oh All the Jews knew or the Hebrew people knew That that lamb was the lamb of the son of God was the son of God Don't do that. They didn't know So keep the literal as it is don't in the New Testament we know That that was Passover lamb was pointing to Jesus is very sacred. It's very holy But back in that day and in Exodus 12 for them it was a lamb It was a literal thing they did they cut it they collected the blood They put it there and put you know put on the house and they sat they stood inside saying okay Moses told us if we do this we will be safe That was it Okay, but later on we understand the meaning of that so For us it is very rich For them it was a little thing they did on that night when they went out When they were brought out of Egypt right and Don't read too much into every detail like Oh the hisseb The hisseb was like a broom like you know, they made those They took the the the parts of that plant Like almost like a not a broom like a brush You know, they had to use something so they used it and they put it don't say hisseb is something or The house had one two three This is a vertical horizontal beam and this was the some don't read all those things and it was this plain and simple. That's how they did it right So be careful not to read into the Old Testament. You understand the Old Testament better It's so much more powerful. But don't read into it. Okay, so So be careful But as we said The New Testament will help us understand the Old Testament better Right, so just give an example. We'll look at one example. We'll close In azir 53 was for In azir 53 was for Azir writes Surely he has borne our griefs And carried our sorrows Yet we did esteem him stricken spitting of God and afflicted But he was wounded for our transgressions. He was bruised for our iniquities The chastisement of our peace was upon him and with his stripes we are healed. That's what's fine Okay, so as a 53 verse 4 and 5 So when you read as a 53 4 You think, okay, surely he has borne our griefs And carried our sorrows.  He says that evening when the son was about to set They brought all the sick people to Jesus Those who were demon possessed and he cast out the spirits with a word and he healed all who were sick That it might be fulfilled which was spoken by azir the prophet And he's quoting azir 53 4 But now he's putting it in a different way. Surely he has borne our sicknesses and carried our diseases So Because when you read as a 53 4 it doesn't seem like that, but now he is saying Jesus healed the people And he cast out devils to fulfill Isaiah 53 4 Isaiah is not talking about devils Isaiah 53 4 not talking about devils Matthew is saying He did this he healed and he delivered to fulfill Isaiah 53 4 So then you go back and then you study the Hebrew. Oh, what is the Hebrew saying? Isaiah 53 4 Surely he has Bone our griefs truly Hebrew way And carried our sorrows macope the Hebrew word truly means sickness macope means pain so the Holy Spirit through Matthew is saying hey that actually has to do with healing and deliverance And that is why Jesus is healing and delivering people On the basis of what he's going to do on the cross I understand so The new testament Is explaining further for us What the Holy Spirit was saying through Isaiah the prophet Which may not be very obvious when you just read as a 53 4 But here Matthew 8 16 17 is explaining it. This is what Jesus was doing because of the cross He was delivering people You're stealing people so we can boldly say today healing and deliverance is in the cross of Jesus Christ Because Matthew 8 16 17 explains that so here's one example where the new testament Is opening our eyes to understand better What was given in the old testament? Like this many many examples, right? You read Hebrews Hebrews is like a big Full thesis where he's explaining to us so much from the old testament saying this is what it all means It's a spiritual meaning Of the blood of the covenant of the priesthood All that is explained in Hebrews, but he's basing it on Old testament So a lot of meaning right so The close here The new testament Will help us understand the old testament so much more better So there's a big connection but don't But keep in mind that whatever happened the old testament is literal it happened the way it was written Right don't read too much meaning into the old Other than what the new testament brings out for us Otherwise We will come up with all kinds of strange ideas Right And we'll come up with all kinds of funny teaching So whatever is explained to us in the new testament that you apply to the old testament Don't go beyond that add the things that are not mentioned or given for us That's the key that I want us to keep in mind any questions Let me see what's any questions from the Online students any questions All okay Is it getting heavy or you're fine? all okay getting heavy It's okay. I think we are almost done almost done meaning Now we will start to descend the plane come for the landing. Okay So we went high we covered many things now we'll come and descend bring bring the course to a close so Yeah from next class we will just basically bring all the points that we've shared bring it together Maybe take a few difficult passages Explain those passages and then we will finish the course came So The tough parts are covered Okay, let's pray and close and We will dismiss. Let's pray father. We thank you For things we could learn today And we ask that you will help us Understand these things Keep these things in mind as we read the bible as we study the bible That the holy spirit be our teacher And may he help us that the holy spirit help us To correctly understand to correctly interpret and correctly apply The word of god Thank you father in jesus name Okay, thank you. I will Um So nina's question is there's a lot that has to be kept in mind while interpreting So we will do it right as we go on as we learn Yep, so keep these notes handy. Um As you're studying the scriptures, you know, just use it like a reference and Um, it's you know, as we apply it Or It'll be a useful guide to us To understand Study and understand the scriptures Okay All right. Thank you everyone. I will dismiss today. I'll see you all tomorrow


It's safe to say we leveled up, stepped it up We just turned the grind and the trouble up Click up 3.0, yeah, that's a better rush Make the shine, we'll never rush, save in time, we'll never rush All around the world, like it's tour life Make the world productive, time to show them how to do it right Click up when I'm getting up, never ever letting up And that's a wrap for level up, that's the fact we leveled up


One of the most powerful and highly correlated attributes that are related to success is clarity and understanding of what you want and how to get it. This is something that drives me crazy sometimes when talking to coaching clients and people on free coaching calls.  He says I've been building a website and working on it a lot and it's been you know, it's been pretty hard to concentrate on it but I've been doing it and I've built a business plan and I need to sit down and write marketing scripts and basically like a lot of work and again, if I just say the gist of what happened to the summary is I ask him okay, but do you know currently the sales process like the actual process in which you're gonna sell to people and he's like, no, I have no idea so he's been working tirelessly and thinking tirelessly about this thing, you know, about building up his business and and attaining customers, so he's been working on the means but he doesn't even know how to get to the end and I find this in so many different niches and topics and just it's it's like a flawed manner of thinking it's something so simple yet so devious like you get somebody who wants to get better in his fitness, you know to be healthier and look better build muscle it just goes to his gym and just starts lifting shit like without reading without learning without getting a mentor without getting a coach trainer just starts and and you know tons of effort you know goes every day but but he doesn't know what he's doing he doesn't know how to actually get to his goal and It's like we've been brought up this way. I swear to God. This is the way it looks to me It looks like we've been brought up like don't question it Don't think of the the means just think what about what you want and don't question it Don't start asking how do you get there? Just just think about what you want and maybe move towards there, but do not ask how to get there and It's It's it's dumbfounding. It's dumbfounding to me that a person can invest his time and effort Moving somewhere before figuring out how to get there now. I'm not talking about Extremely complicated cases like I'm not obviously talking about Elon Musk moving forward ambivalently You know trying to get people to colonize Mars. Okay, and even for that he has The best counsels counsel in the world. So even there he's stuck with knowledge to the best of human ability But I'm talking about regular day-to-day things, you know, you want to get more money. You want to get rich You're not become more fit. You want to find the right partner. You want to have a good relationship How can you do something? How can you do anything in life? without With the excuse that you you don't know what you're doing Like there's so many books on every topic you can imagine there's so many people peddling and and and and pushing you to buy their course or buy their book or get mentorship from them There's so many so much free advice on the internet. There's forums like how can you say I don't know? So make a list make a list of everything you're currently doing in your life everything you spend time doing even the bad things That you can't manage to get rid of you know the bad habits So start saying what what am I doing with my life? Okay? I'm spending this much time Working out. I'm spending this much time in school. I'm spending this much time on my business or thinking about opening a business I'm spending this much time in my job. I'm spending this time this much time smoking which I want to get rid of but I don't know how I'm spending this much time eating this type of food and literally just Have a list know every single thing that you're doing in your life and Now start dividing it into levels of competence like how much do you actually understand about How to do what you're doing? What is the best way to do it and what results would that create like what are the most? important Ways in doing it. What's distinctions you should know? Maybe the process how how can it done it be done better who are the pros in it? Know have information, you know have knowledge have understanding have clarity You know when you eat you should know what you're putting in your body You should know every single ingredient that you're putting in your body and maybe not, you know By heart completely, but at least know if it's good or bad or what it does, you know in the the basic level Be able to identify it, you know like you get Know for example, you put sugar, okay, you put sugar in your body and You know, you just simply research sugar. So oh apparently when you put more than 30 grams of added sugar Which by the way Americans on average put put 200 grams of added sugar a day I put 30 grams of added sugar a day you increased your risk your risk of diabetes and other chronic illness by 30% But but you don't know because you never read it.  Did you actually learn the science of?  Do you know the sense of sleep? How much you should be sleeping? How you should be sleeping? What about relationships? Have you ever read a book about relationships? Oh, you're not in a relationship. Well, have you ever? Considered going to a dating console consultant. Have you ever considered reading a book about approaching men or women?  I know that feeling.  I don't want to deal with it. So I'd rather not think about it and You know now read how to get better at it because then I'll have to recognize the problem But but look you're still in the problem like you don't have to recognize The fact that you're clogging your arteries in order to have a heart attack, you know The problem acknowledges itself to you very fast So, you know, it's really rational like you can't escape your problems might as well deal with them anyway and The coolest thing about it is When you attack a problem or more appropriately when you confront or challenge a problem by choosing to face it so, you know preemptively or proactively The parts of your brain that get triggered are different than when you have to challenge a problem because you have no choice So let's say you see somebody who's attacking people around you just as a wild example If you choose to then come up to that guy and in beat him or or Defend yourself again in a very choose, but basically just choose to to take an action then You'll be much more effective then if you react because you Hesitated and then that person came up to you because then the parts of the brain that will be activated will be mostly related to anxiety retreat and emotions whereas if you Proactively choose to deal with it the parts that will be activated are related to courage and to exploration That's a really really cool and important distinction So take that list of activities that you do and again sleep also counts Really kind of study where your Competency competency lies within each one of them The thing is even if you don't think one of them is important Like let's say you don't have a lot of competency in the in the whole sleep thing So you don't really know how sleep works What are the effects of sleep? That doesn't mean that sleep is not important. So just because you have very low competency in something And you assume that it's not important that doesn't mean it's true because again That's categorically that that's the definition where by not understanding it You don't really know how much effect has like imagine somebody who Doesn't really know a lot about Nutrition and he thinks yeah, yeah, you know, just put food in your mouth, you know avoid junk food Try to eat fruits and vegetables Yeah, that's pretty much it and he doesn't really know the nuances of how food affects you, you know Cholesterol things like that how to actually measure these things what effect they have on you long term You won't appreciate how important his lack of acumen in food is So I hope this topic makes sense Don't go into anything without first attaining at least the basic level of competency So again, if you're gonna go in the gym Get a coach or read books or you know any sort of way apart from just experience And then come from come at it from competency and the more you do something the more hours you spend Doing something or the more important something is to you The more urgent it is that you start developing competency and it really doesn't take a lot like the most easiest way to do it is to Find statistics because I found that when you look at statistics, that's where you Find the deepest and most simple truths at the same time. For example, if you look at sales statistics, so I think about 10% of the of sales are closed in the first call Or first first and second call and then the 5% in The next three four calls and then 80% or 85% are closed in the fifth call onward So you literally with one statistic you learn that most sales Are closed on the fifth or further Follow-up call. So if you're not you do you whoa like wait, so that means, you know, I can increase my Closing rate by four or five times if I just make more than five follow-ups Yes, that's statistics. That's what's cool And so you learn these these statistics and You know, just research on Google like fitness statistics, gym statistics, food statistics, sales statistics, business statistics, college statistics Everything you need to know or at least the the foundation of what you need to know Will be revealed through numbers and you know, you need to know what to search But that is a great way to start and I really wish you the best with doing that because Man, like if you don't do that, you're not effective You don't have any clarity. You're confused It's horrible like like Get that standard like start having that standard that you will not move forward Before you understand at least the basics and will save you a lot of time and More importantly a lot of effort that's wasted So I hope you enjoyed this video and I'll see you very soon


Hi, my name is Miguel Trebley. I am a physicist working at the Government of Canada. My co-authors are Alouan Fan, the Director of the Board of Wikimedia Canada, and Pierre Chauvet, the developer for this project. I am speaking to you today from Montreal Connect. I'm glad to take a few minutes with you to expose how a combination of Wikimedia Commons, Wikidata, and Wikipedia can be used to disseminate government authoritative data, and especially to compute over this data, to share algorithms and to share templates. In Canada, the structural charge of the weather forecast is called the Meteorological Service of Canada. It is under the Environment Federal Department, Untitled Environment and Climate Change Canada. This is where I work. In 2019, a two-year funding was accorded by the Meteorological Service of Canada to Wikimedia Canada, the local chapter of the Wikimedia Foundation, to upload our weather station observations into the different Wikimedia projects. What are weather observations? Well, in order to make a weather forecast, you need observations, most of the time, coming from instruments like those shown in this picture. They measure temperatures, atmospheric pressure, precipitation amount, et cetera. The devices are grouped in one location, which is called a weather station. Typical time intervals for reports from weather stations are hourly, daily, and monthly. It is also possible to make a summary since the station exists for an example for record values. This is called the Nalmenac Summary. For this project, we decided to upload only the monthly Nalmenac report in comments. Here is a map of all weather stations that once existed or still exist in Canada. There are a lot of them because there have been observations for a long time in our country. The oldest observation dates from 1840 in Toronto and many stations have been opened and closed since then. There are more than 8,000 stations times two per 10 per stations, 16,000 reports, that gives 16,000 reports in the dataset. Now that we know a little bit about the input dataset, let's go through the list of the Wikimedia projects that we use to manipulate this data. The first one is Wikimedia Commons, the media repository, accessible to all Wikimedia projects. In late 2016, an additional capability was added to Commons, the capacity to upload data in GCEN format. It didn't seem to cause much of a stir at the time and even now, but it was this additional capacity that allowed us to upload the Canadian weather observations in Commons. This is what the data file looks like in Commons. It is an example of weather data that can be found. A second tool that we used is Wikidata. We use it to upload the station metadata. We put the information of every station's location, data opening, closing, type of observations, et cetera, in every station element we created. We then link Wikidata station element with their corresponding observation files in Commons. Doing that, we now have one point of entry containing the station metadata and the path to retrieve the corresponding observations in Commons. And finally, we use Wikimedia in French to display the data using a template. In this example, an element file located in Commons is sparse to extract record values for both temperatures and precipitation for every month of the year. The table is updated when the data source on Commons is changed. In other words, we have a dynamic table on Wikimedia linked to the data source in Commons. Several tools have been developed to convert and manipulate the original data, not only to import it in Commons and Wikidata. Since this is lightning talk, I'll go through only a few of them. An interactive map was created to select a subset of weather stations. In this example, I selected the stations of the region where I was born, Sagnilax Engine. I used another tool to combine the Almanac built-in of these stations and then uploaded the result in Commons. This combination of station gives a climate overview of the region. This is what you've seen earlier in the Wikipedia page, that table. Finally, we wrote sparkle requests to identify weather stations using Wikidata. As a specific example, showing the power of combining data already in Wikidata, you can see on this map a result of a sparkle request identifying all the weather stations in Quebec that are within one kilometer of a bridge that is longer than 100 meters. This could be used, for example, to identify extreme weather values for which a bridge should be built to endure. In January 2020, Wikimedia Canada held a brainstorming session with participants from various backgrounds, academic and geos, open data movement, government, et cetera. More than 60 people participated, which, well, surprised us a bit, to be honest. There is a clear interest in how Media Wiki Foundation projects could be used to disseminate and manipulate data of this type. Several ideas for data reuse were submitted. I'll name a few here to what you're appetite. First idea, on an interactive graph, a user could choose a start and an end date to see the evolution of the climate over this period in a specific location. These graphs could be linked to the demographic corresponding to that location. This would show how many people in a given area are affected by changes in precipitation, heat, et cetera. By adding geolocation, someone logging into Wikimedia could see, depending on the area where he or she is, a personalized impact of climate change. This would allow one to see the changes at a very local level, rather than thinking that it is far away and only happening to other people. Second idea, you are probably familiar with the info box that we find on Wikimedia articles. For any info box containing the location and the date, we could add the weather observations of the closest weather station. That could be useful to describe some events affected by weather condition, like forest fire. Third idea, all photos taken in Canada with the latitude, the longitude location and date could be linked to the closest weather observations in observation in space and time. On the reverse, we could also have a bank of commons photos corresponding to a certain weather condition. One could, for example, retrieve all the pictures of a very wet period over Canada for 2017. This feature could also be useful for weekly travel. Conclusion, there are many reasons why someone would want to import data in Wikimedia. The main reason is to make these data accessible, reusable and publishable without any restriction alongside with all the other information already available. This is what is exciting about this project, in my opinion. We are expending the scope of knowledge of the Wikimedia Foundation project by including Radata. From the moment the user has a web browser, he or she can access the data and manipulate it. Next step for us. Well, the first step is the simply S. It is to translate the template to display the record values shown earlier in other Wikimedia, starting with Wikimedia in English. We hope in this way to increase interest in the use of the data. We would also like to add data from other countries. For licensing reasons, it would be easy for us to upload the US weather observation to Cyclo. Three, we were recently contacted by the World Meteorological Organization, United Nations Agency. They are in developing new standard for disseminating observations to every countries and they are interested in exploring with us the possibility of aligning this project, described in this talk with their mandate. And four, finally, the presentation we have made so far have generated some interest. This summer, two data journalism interns are publishing article addressing climate change issues in Canada, guided by the data we've put in comments in Wikidata. We are also looking to expand the team of participants and people involved in weather data ingestion. If you are interested, you can contact us by this project or by joining, contributing. You can contact us by email or through any of our Wiki user page. Moreover, if you know people in your corresponding national weather organization, please tell them about this project. If you need more information, you can contact me or other one fan at Discord.net or by joining us at our unconference stable B at 13 UTC today in 30 minutes. Thank you.


See, this is what I'm talking about, man. It seems like it was just the other day and just really the other week where the Ravens just kept getting bad news after bad news after bad news after bad news after bad news. And then on top of that, they had just kept losing. They just kept losing. They lost to the Patriots, they lost to the Titans and of course they lost to the Steelers.  But recently, a lot of people have been coming back. Of course, Kalea's Campbell and Brandon Williams because they were the first two to go down but they went down due to injury and they were certainly missed big time, especially in the fourth quarter of that Titans game. And then of course, we ain't even got to go down the whole list where everybody got put on the non-team, keep it clean list. Even people that's on injury reserve got put on there. That's how bad it was. Dudes that's not even playing, they got put on the list that disabled them to play. So that's how bad things have been going for the Ravens. But, but, then we started getting some guys back. Some guys started getting healthy again. Some guys started being activated off the list. And then most importantly, this past Sunday, Lamar Jackson, he got activated from the list and he obviously made his return to game last night. And boy, he showed exactly why he's so valuable to this team. So that was a beautiful thing. But last night in the game, he played it without, of course, there's Brian, since he got added to the list. But he played the game without Willie Snead who's been on the list. But the team also played the game without one Mark Andrews. And I was pretty concerned going into the game, not only because Mark Andrews is one of Lamar's favorite targets, but because he's like light years ahead of all the other Titans that are on the roster. And not referring to Nick Boyle, but all the other active Titans that are on the roster, because we just got Luke Wilson and Eric Tomlinson. And especially with them being brand new to the team, they may not be as comfortable with the playbook and everything as a Mark Andrews is. I mean, of course they wouldn't be because they just got here. And with him being out, it's like, oof, that kind of takes away that tight end threat in the middle of the field. So, but it actually forced Lamar to again, to go to other options. And somebody in the comment section actually pointed out that the route that Miles Boykin got the touchdown on, that route is intended for tight end. How true that is, I'm not 100% sure, because I know a lot of people have still been floating around the idea of Miles Boykin to tight end because they keep on seeing all these highlights and all these fantasy points from Darren Waller. And they're like, man, we just, we don't want a situation where Miles Boykin, where he ends up going to another team as a former Raven that just couldn't catch on at the receiving position. And then he ends up balling out. Everybody wants to see it happen with the Ravens. Because we see guys like Darren Waller. We've seen guys like last week, Tim Patrick, who a lot of people forgot about. But we see these former Ravens, with the Brashar pyramid, that you've been doing for the past couple of years. We see these former Ravens who just, they couldn't get right in Baltimore, but then they go somewhere else and shine. So a lot of people just do not want that to happen with Miles Boykin. They want him to get his shine on here. So completely understandable. But anyway, Mark Andrews being out last night, it, I think that was big, that's a big blow. But it did force LeMond to make some more uncomfortable throws, which I was glad. Because this really made him spread the ball out, continue to spread the ball out, because again, ever since the infamous Hollywood tweet, ever since the tweet, LeMond's been spreading that ball out a whole lot more. And it's been paying dividends to the entire offense. So it goes a long way and it can continue to go a long way. But now Mark Andrews is back. He's back and he'll be back for this Browns game. And oh, that is just, that's great news because we need all the firepower that we can possibly get. Who would have thought that going into week 14, that against the Browns, the Ravens, and they are one point favorites in this game. So people are still respecting the Ravens and Browns rivalry and how the Ravens, for the majority of it have been pretty dominant. Even though the last couple of years, it's been Splitsville. So even though the Ravens are one point favorites, they need all the help they can get. They need it all. And for those of you that are betting people, I think Jameson Hensley said this year the Ravens are a six-five and one against the spread. I don't know all that gambling stuff. I don't get into all that gambling stuff from the betting and all that. So whatever that means, hey, you take that and run with it. But so we'll see how that game ends up going because it's gonna be a tough one because Browns right now, they got all the confidence in the world. And the Ravens, their team, that's building their confidence back up. So even though they're one point favorites, I feel like the Ravens are actually underdogs. I really do. But anyway, that's great news for the Ravens offense that Mark Andrews is back because it adds another weapon and it adds another element to the offense and something that, hey, shout out to Hollywood for doing this yesterday, something that a lot of the Ravens receivers just had not been doing, something that Mark Andrews always does. That's why him and Lamar have such a great connection. And they have from jump, Mark Andrews, he comes back to the ball and he doesn't stop. He doesn't stop. A lot of Ravens receivers, especially this year, they'll run their routes and those poor route concepts and what, they'll run their routes though. And if the ball ain't coming that way, then they'll be like, okay, whatever. But Mark Andrews, even if the play breaks down, they won't come back for it. Mark Andrews, he'll come back for it. He will come back for it and he will find a way. Hey, Lamar, I got you. Hey, I'm right here, hit me. Let's get it. So shout out to Mark Andrews for that. So, but Hollywood on his touchdown last night and maybe he did it intentionally, but it was looking like, oh, he was done with the play. Cause he ran around, he ran like a little comeback route or whatever and he stopped. But then I think he thought, he was like, wait a minute, I got this quarterback. I got him. And Lamar was scrambling out to the left a little bit and Hollywood, he turned around quick, touchdown. Touchdown, it's a beautiful thing. So Mark Andrews being back, that'll be nice. And who would've thought, who would've thought? Hopefully it does make a difference because I saw that, I think it was Jonas Schaefer. He tweeted out an article that he wrote that said that the in the Eagles game, oh my goodness, I was like, wow. But then when I thought about it, I was like, okay, I guess that does make sense. He said that in the Eagles game, the Ravens got six sacks, six, six sacks. But ever since that game, they've only gotten a total of six more sacks in the next six games combined. So the, that is a big yikes. That is a huge yikes because Ravens, the pass rush is something that we haven't really been complaining about it too much recently. But in yesterday's game, it was just, it was bad. Now, Yannick, he has been, because a lot of Ravens fans question him, he's been getting so close, but he just hasn't been finishing. He's been getting extremely close, but he just has not been finishing. So it's not like he's been bad because I know a lot of Ravens, oh, where are all the sacks at? And we expected the sacks to go up with Yannick being on board. But then some injuries happened and then the whole non-team keeping clean thing happened and it just, it's been hay white. But with Yannick, he's been close, but just ain't been finishing the job yet. But the pass rush yesterday was just, it was pretty bad overall. Had some bright spots, some little bright spots here and there, but it's pretty bad. But who would have thought we would miss Matt Judon? Who would have thought that? We would miss Matt Judon because with Matt Judon, he is not the pass rusher that Yannick Ngakwe is, but he is a more versatile player than Yannick Ngakwe. Yannick is pass rusher, that's it. Straight pass rusher. That's his thing. Run defense though, that's not his thing. Hopefully in this off season, well, if he ends up staying with the Ravens, that can improve because that would improve his game and that would improve his value that much more. But Matt Judon, he'll help in the run defense a bit and you could drop him back in coverage too. You can do more with him but who would have thought we would have missed him like that? Well, I think the Ravens did and I think they do because the more the merrier and the more players you have, the more that the more players can do, the better for you. And we've seen Bowser be a lot more involved, especially with Matt Judon now. They play the same position and Bowser, he's been a guy that's pass rusher and he can also drop back too. And we've of course seen him make a decent amount of plays. Also shout out to Tyus Bowser, but Matt Judon, he's been activated now too. So Matt Judon is back as well. So that is very, very good news for the Ravens because I know a lot of people are not Matt Judon fans and know that we still don't expect him to be re-signed after this year, expect him to hit the market. But having him back makes the team a little better because the team is better with Matt Judon than without a Matt Judon. And this, again, it allows you to do more things with all those defensive players that you have. It allows Wink who, well, it wasn't his best game last night. It certainly wasn't. And somebody in the comment section made a good point with that.  They get their catches. And them corners, I guess they didn't wanna get beat deep last night. But that has been the Ravens cornerbacks thing because if y'all notice, I'm not sure y'all notice, but the Ravens cornerbacks, the Ravens secondary, the Ravens defense, they have not been giving up any deep place. They haven't. They have not been giving up any deep place. I don't remember the last time they gave up a long bomb. Beside the passing of fans, I think Marlon Humphrey got in the Titans game, but an actual catch for a deep bomb, I don't remember. Cause it's been like forever, but they also been playing like way back. So these receivers and these cornerbacks and everything, they've been taking everything that the Ravens been giving them cause the Ravens been like, hey, you take that, it's short, you can have it, but you ain't getting nothing deep on me. But we just got to, just some adjustments got to be made. And we definitely miss Jimmy Smith too. And Jimmy Smith, he was out, not because he's on the non-team, keep it clean, but because he's hurt. But anyway, we conclude the video with this, that the Ravens last year, a question got asked about the Ravens and did they peak too early? I'm not a big fan of that question. I'm not a big fan of, oh man, they peak too early. They got too hot too quick. No. I feel like, hey, if you hot roll with it, keep it going, keep it going. And I feel like the Ravens, their peak it ended up getting destroyed because of pitiful play calling in the playoffs. But that's a whole nother conversation that we done had plenty of times already, I already know how I feel about that. So I don't even think we really got to see the true Ravens in the playoffs because they ain't even played that game. But now, I can't say they're peaking right now because they certainly haven't peaked. But right now they're getting healthy. Right now they're getting guys back, whether it's due to them coming back from injury or coming back to being placed on the non-team, keep it clean list. But they're all coming back and they're coming back at the right time. We're missing a few guys here and there. And of course, Brian is gonna be out for this Browns game, but he was out for the first one and they did just fine. So things look to be on the up and up, but this Browns game is going to really tell a big story about how the rest of Raven season is gonna go. Either way, no matter how this Browns game goes, it is not the end of the season but it is a very critical point. So with Ravens getting healthier and with Ravens getting guys back, they better bring it because they need it. They need it. If they want any chance of even sniffing the playoffs, they better get this thing right. Team Keep It Clean, I appreciate y'all.  And shout out to Will Holden too. Will Holden is also, he's also been activated off that non-team, keep it clean list. So anyway, I love y'all, I appreciate y'all. And we out, baby, whew. It is good to make a report on some good news, finally.


So here's what happens.  Yep, and then you come through, see another guy, eye contact, give it out, get it back, little turn through the square. You do three. And then when you want to get out and take a rest, you make eye contact and we're going to switch. So it goes there, back to me, back to him and now we're switched. Alright, let's give it a go. Have a look. Let's go. Give him a shout to turn. Yeah. Okay, excellent. And freeze a sec. Freeze one nice little thing that you guys do automatically, but let's make sure we're clear. If I give it and I get it back, now I've got to turn all the way, right? So how do I help myself? How do I help myself out? Yeah, half turn and you guys do it. So it's there, half turn. Now I can see in there and I'm out, right? Let's keep that up. That's good stuff. Let's go and hold it. Good. Reds in the square, whites on the outside real quick. So now it looks like this. It is there. I look at him. I go away. Yep. And then I come back and I go through the square and to get in and out, right footed to his right foot. He's in, I'm out. Fair enough. Yep. So a little takeover. Three of those. Let's go. Good. Ask for it, ask for it. Good. Well done. There you go. Great stuff. Well done boys. All right, and relax boys. Good job.


I am Prashant S. Malge, Assistant Professor, Department of Electronics Engineering, Walsh and Institute of Technology, Solarboard. Today we will see how to design a FIR filter using windowing technique, the learning outcome. At the end of the session, student will be able to design a FIR filter using windowing technique. Now consider an example for this. Design a low pass filter with desired frequency response given by h d e raise to j omega equal to e raise to minus 2 j omega from minus pi by 4 to plus pi by 4, 0 from mod omega between pi by 4 to pi. Design the filter coefficients h of n if the window function is given as W n equal to this and also determine the frequency response h e raise to j omega of the desired filter. Here this h d, d stands for desired frequency response. Now let us plot the magnitude of this particular frequency response. That is magnitude of h d e raise to j omega. If you look at here the magnitude between minus pi by 4 to plus pi by 4 is 1. So if I consider the response from minus pi by 4 pi to plus pi, so the magnitude of this particular frequency response is 1 from minus pi by 4 to plus pi by 4 and this mod omega between pi by 4 to pi means the response is 0 from minus pi to minus pi by 4 and also it is 0 from plus pi by 4 to pi. Now for this we want to design the filter. So the next step is to determine the desired impulse response from h d e raise to j omega. So this is obtained by taking the inverse Fourier transform of h d e raise to j omega. So where it is written as h d n is equal to 1 upon 2 pi minus pi to pi h d e raise to j omega e raise to j omega n d omega. So we obtain this inverse Fourier transform. Now if you look at this particular response the magnitude response is 0 from minus pi to this minus pi by 4. It is equal to 1 from minus pi by 4 to pi by 4 and it is equal to 0 from once again pi by 4 to pi. So we will divide this integral between three different ranges and with that we can write this integral as h d n is equal to minus pi by 4 sorry minus pi to minus pi by 4 h d e raise to j omega e raise to j omega n d omega. So I will take this 1 upon 2 pi outside plus minus pi by 4 to plus pi by 4 h d e raise to j omega e raise to j omega n d omega plus pi by 4 to pi h d e raise to j omega e raise to j omega n d omega. So if you look at in this range that is from minus pi by 4 to minus pi to minus pi by 4 and from pi by 4 to pi the magnitude of this particular frequency response is 0. So therefore these two integrals will be 0. So therefore h d n can be written as h d n is equal to 1 upon 2 pi integral from minus pi by 4 to plus pi by 4 because in this range the value of h d e raise to j omega n is e raise to minus 2 j omega. Therefore this is equal to e raise to minus 2 j omega e raise to j omega n d omega. So this can be obtained as 1 upon 2 pi minus pi by 4 to plus pi by 4 e raise to j omega n minus 2 d omega. So by taking this integral this is equal to e raise to j omega n minus 2 upon j n minus 2 minus pi by 4 to plus pi by 4. Substituting these limits we can write this as 1 upon 2 pi e raise to j pi by 4 n minus 2 minus e raise to minus j pi by 4 n minus 2 divided by j n minus 2. So now we know that e raise to j theta minus e raise to minus j theta divided by 2 j. So this taking this 2 and j we can write this as 1 upon pi n minus pi n minus 2 into sin pi by 4 n minus 2. So this is what you get h d n for n not equal to 2 and when n equal to 2 because when n it tends to 2 this becomes 0. So as we know that sin theta theta tends to 0 equal to theta. So therefore for n equal to 2 this sin will be equal to pi by 4 n minus 2 that cancel n is equal to 1 by 4. So for n equal to 2. So therefore with this our desired impulse response h d n is equal to sin pi by 4 n minus 2 upon pi n minus 2 for n not equal to 2 and equal to 1 by 4 for n equal to 2. So we can obtain the coefficients by using this particular formula. Now we know that given window function is a rectangular window and it is defined as W n equal to 1 for 0 to 4 0 otherwise. So therefore by multiplying by this window function with this h d n we can obtain the impulse response of the design filter. So impulse response of design filter is h of n is equal to h d n into W n. So as this W n is equal to 1 between 0 to 4 0 otherwise. So therefore h n will be equal to h d n 0 to 4 0 otherwise. So the length of our filter will be only 5 that is it exists only between 0 to 4. So therefore it is a FR filter. So we can obtain the values of these filter coefficients by substituting this n in this particular equation. So therefore h of 0 is equal to h d 0 which is equal to so if we substitute 0 here. So this is sin pi by 2 upon 2 pi so this comes out to be 1 upon 2 pi. So if we substitute h of 1 which is equal to h d 1 where this comes out to be when n equal to 1 this is 1 minus 2 is minus 1 so sin minus pi by 4 upon pi. So sin upon minus pi so minus gets cancelled. So what you get is 1 by root 2 pi same way h of 2 is equal to 1 by 4 now when you substitute n equal to 3 this comes out to be once again sin pi by 4 upon pi. So once again will be equal to h d 1 so this is equal to h of 3 same way when you substitute 4 this will be 4 minus 2 so sin pi by 2 upon 2 pi so that comes out to be equal to h this h of 0 that is 1 upon or this is h of 4. So therefore h of 0 equal to h of 4 equal to 1 by 2 pi h of 1 equal to h of 3 equal to 1 by root 2 pi and h of 2 equal to 1 by 2. So these are the filter coefficients using these filter coefficients now we can obtain the frequency response h e raise to j omega of the design filter. So this can be obtained by h e raise to j omega equal to n equal to 0 to 4 h of n e raise to minus j omega n so this is equal to h of 0 plus h of 1 e raise to minus j omega plus h of 2 e raise to minus 2 j omega plus h of 3 e raise to minus 3 j omega plus h of 4 e raise to minus 4 j omega. From this by taking this e raise to minus 2 j omega common this can be written as h of 0 into e raise to minus sorry plus 2 j omega plus h of 1 e raise to j omega plus h of 2 plus h of 3 e raise to minus j omega plus h of 4 e raise to minus 2 j omega. So as this h of 0 and h of 4 are values are same so this can be written as this is 1 upon 2 pi e raise to 2 j omega plus e raise to minus 2 j omega divided by 2 if we take and multiply by 2 so this comes out to be 2 cos of 2 omega plus same way these 2 are same if you take common e raise to j omega plus e raise to minus j omega by 2 you will get cos so 1 by root 2 pi into 2 cos omega plus h of 2 is 1 by 4 so therefore this h e raise to j omega equal to e raise to minus 2 j omega in bracket 1 by 4 plus this 2 and root 2 so this is root 2 pi cos omega plus 2 gates cancels 1 by power cos 2 omega so this is the impulse response of the filter. This is how we can design the affair filter by using windowing these are the references.