Hello, everyone. Welcome to Options with Doug, streaming live daily on Bookmap Discord and the Bookmap YouTube channel at 1.30 p.m. Eastern Time. Before I get started, I need to go through the disclosures. General disclosure, all Bookmap limited materials, information, and presentations are for educational purposes only and should not be considered specific investment advice nor recommendations. Risk disclosure, treating futures, equities, and options involves substantial risk of loss and is not suitable for all investors. Past performance is not necessarily indicative of future results. The focus of my presentation and the focus of the Options-Doug chat channel in Discord is options, order flow, the impact of options markets on stocks and futures, and the influence of market maker hedging flow on price action. I have a two-step process for trading and the first is planning and I use positional analysis. I look at how traders and market makers are positioned in the options market and how those positions change from day to day to develop a thesis regarding the expected trading range and volatility for the day. And the second step of my process is execution. And I look at real-time order flow in Bookmap and real-time market maker hedging flow in SpotGammaHero to confirm my thesis and for directional bias and setups for entries and exits. And just to be clear, I'm using the options market for my analysis. That's the basis of my analysis. And I will be talking about setups and underlying assets, but those setups can be taken any number of ways. With shares, with options, single options, option spreads, futures, that's up to you, however you choose to enter a trade. And questions and comments are welcome. And I will be watching the option stash dug chat channel and discord and the chat and YouTube for your questions and comments. So please post your questions and comments. It makes it a lot more interesting for me if this is an interactive session and hopefully a lot more informative for you as well as everyone else. All right, let's get started. My agenda for today, what I want to talk about today, first of all, go over some news items, earnings, and events for the rest of the week. I'll talk about my positional analysis and then I'll go over some setups. So first of all, earning season has started. The banks have been reporting earnings and tech starts today with Netflix reporting earnings after the market closed today. And then tomorrow Tesla reports after the market closed. And then finally, there is some minor economic data coming out this week, nothing high impact like a CPI or anything like that. And then Friday is options expiration. That is the monthly options expiration. And remember, SPX has two expirations every third Friday of the month, the AM settlement and the PM settlement. All right, let's take a look at charts. I'm going to start with the S&P 500. This is the ES S&P 500 futures and book map. And before I dig into this chart, I'm going to take a look at a larger time frame. And I'm going to go to the SPX. So this is the SPS XPS index. This is a 20 day one hour chart shown in book map think or swim. I'm sorry, this think or swim chart showing price and key gamma levels from spot gamma. And these are available to spot gamma spot gamma subscribers for a variety of platforms. And you can see that SPX has been a general uptrend consolidated for a couple of weeks. And now it's trying to make it higher, trying to move up to the 4200 level, which if price makes it up there should be the ceiling for price up into expiration Friday. And that is because that level is the call wall. That's the strike with the largest net positive gamma. And that can be expected to act as resistance. And let me point out a couple of other levels. These are the primary key daily levels for SPX. And there's the put wall. That's the strike with the largest net negative gamma that can be expected to act as support. And note that did move lower from yesterday. It was at 3,900. And today it has dropped down to 3,800. So that is the floor, the put wall, the ceiling, the call wall. 4,000 is the key gamma strike. That's the strike with the largest absolute gamma that can be expected to act as support resistance or a magnet for price. And then 4,110 is the volatility trigger. And that's the strike. That's spot gamma's proprietary gamma flip level. Below that level, market makers position on the gamma curve is negative. And that means they have to trade with price to hedge their delta exposure. And that tends to increase volatility in a negative gamma environment. On the other hand, like the current environment, market makers position on the gamma curve is positive. And they have to trade against price to hedge their delta exposure. And that tends to subdue volatility. So those are the primary or the key daily levels that I follow that I watch. Let's take a look at another thinkorswim chart and then we'll get to book map. And this is the another thinkorswim chart for SPX. This is today a one hour, one minute, one day chart, one day, one minute. And note how price has clustered around this 4,150 level. And when we look at the absolute gamma levels, we will see why. So that level has acted as support earlier in the morning, then resistance. And now appears to be acting as support again today. But price is really focused on that level. And just to point out, I have, I'm now tracking the expected daily move. This is something that I just get from thinkorswim. It's just based on the options market. And I still track the weekly expected move. And now I'm adding in the daily expected move. And we'll see that that has come into play quite a bit for the NASDAQ yesterday on the downside, the lower daily expected move. And today on the upside. Alright, so that is the SPX. And now let's take a look at book map. This is the S&P 500 futures ES. I'm showing the same levels on this chart. And I have a couple of columns of levels. This is spot gamma cloud notes providing the same levels. And here's that 4150 level in notes price, price chopping around that level now. And I have another column of notes. These are my cloud notes. And I'm using an add on called price lines to display these labels and draw the horizontal lines on my chart. So this is my cloud notes. And I'm showing the same SPX levels and spot gamma appears to be using a 27 point difference between ES and SPX. And I'll show you in just a minute what I'm using to calculate the difference. And it was about 24.75 is what I was using today, what I'm using today, the difference between ES and SPX. And that changes a little bit every day. And as the it changes with every rollover every quarter, and then it tends to move back towards zero as the current contract expires. Alright, so there's my 4150 level. And that is closer to what what was shown in the SPX chart. And I'm also showing spy levels. And this is this white label with red text. That is a key spot gamma level for spy. And that's the 415 call wall level. And note the we just point out levels that are in play, including the spy levels. Here is the spy 413 volatility trigger. And yesterday, recall that this level acted as resistance in the morning, and then price broke above it in the afternoon. And now today it is acted as support. So that is the spy 413 volatility trigger. So those are the levels that are in play, both SPX and spy. And I think it's important to track both of those levels on your S&P 500, whatever. If you're trading spy, SPX or ES, and ES is what I have shown here. I find it helpful to track both spy and SPX levels on my chart. And let me just show you where I'm getting the numbers. And I posted, these are from thinkorswim scripts, think script. I posted these scripts yesterday in Discord. And they all display a badge. So first of all, here is ES minus SPX. And this is showing that number in real time. And now it looks like it's about 25. Earlier today, it was a little bit lower, right? So I used 24.75. And I just enter that number in my spreadsheet that I used to create my levels. So that is ES minus SPX. And then here is the ratio of ES to spy. That's about 10.09. And again, I just add that value in my spreadsheet. And then here is SPX, the ratio of SPX to spy. That doesn't change that much. And I use that for my spy chart. All right, so that's where the numbers come from. And this credit again to Lewis last week for posting the ES minus SPX. And I just copied that and made a couple of changes to come up with the other ratios there. All right, so that is the S&P 500, the levels that are in play. Again, so far, the primary level 41.50 in the cluster price around that, acting as resistance, then support, and then the spy 413 volatility trigger acting as primary support today. All right, there were a few shifts and levels, just very minor. I mentioned before the SPX put wall shifted down from 3,900 yesterday to 3,800 today. So the floor has dropped lower for SPX. And then also for QQQ, the put wall dropped lower from 315 yesterday to 300 today. All right, let's take a look at the absolute gamma levels and see where this, where these levels come from. So we'll start with SPX. This chart is showing positive gamma or call gamma with the orange bars above the zero line. That's market makers position at these strikes. And then negative gamma or put gamma with the blue bars below the zero line. So here is the 4,000 absolute gamma strike or key gamma strike. Here's the put wall over on the left edge of the chart. Strike with the largest net negative gamma that can be expected to act as support. And then here's the 4,200 call wall, the strike with the largest net positive gamma can be expected to act as resistance. And if price keeps going up, Smart Gamma expects this level to be a ceiling for price up into Friday's expiration. So that's SPX. Let's take a look at SPI. I'm going to zoom in a bit here. So for SPI, here's the 4,100 key gamma strike or absolute gamma strike. And there's the put wall at 400. And that is pretty obvious. The strike with the largest net negative gamma, the largest blue bar compared to the orange bar. And then here is the call wall, the 415 strike, strike with the largest net positive gamma. And that was expected to act as resistance today. So that is SPI. Usually I have to do a refresh before I look at QQQ. So we'll look at the NASDAQ and for the NASDAQ we look at QQQ.  And then now the put wall has moved down to 300. So there's the floor for the NASDAQ for QQQ and the ceiling at 320. While I'm on this page, I want to take a look at one other chart. This is the Vana model. And I think this is important to take a look at every day. And this is going to give an indication of how market makers will be hedging their hedging activity. And there are two curves on this chart. This first, the light gray line is showing how market makers delta notional or delta exposure changes with changes in price. So delta notional shown on the vertical axis, price shown on the horizontal axis. And what this is showing is the price increases, market makers delta notional increases. They want to remain delta neutral. So they have to sell futures to hedge their delta exposure as price increases. So this light gray line is showing the impact of the change in price on market makers delta notional only. And then this pink curve or pink purple curve takes into account changes implied volatility. And you can see on the upside, there's not a lot of difference between the light gray curve and the and the pink curve. So this is indicating there's not going to be much of a van a tailwind for as price moves higher. Then on the other hand, as price decreases and implied volatility increases, market makers delta notional will increase and they will have to sell futures to hedge their delta exposure as price decreases and implied volatility increases. And the pink shirt pink curve is showing the fan effect the change in delta with a change in implied volatility. Alright, let's take a look at some data now just to confirm market makers gamma notional position. Alright, here's the data that I want to take a look at. This is market makers gamma notional for I'm looking at SPX spy NDX and QQQ. And it's in this row right here. So market makers gamma notional for SPX 4.5 billion for spy 8 billion for NDX 30 million pretty small compared to the other numbers. And then for QQQ 3.6 billion note all these numbers are positive. So for all these indicates indices market makers position on the gamma curve is positive. And that means that traders are short calls. Market makers are long calls. Hence the positive gamma position. And they have to sell futures as price increases to hedge their delta exposure and as price drops they can buy back their futures. And this tends to again subdue volatility in a positive gamma environment. Okay, let's take a look at some setups now. And let's start with the S&P 500. And I'm going to look at well first of all for those of you who may not be familiar with us. This is spot gamma hero. And it's showing the hedging impact of real time options. And right now I'm looking at a an S&P 500 chart. And this is showing a combined signal for SPX spy XSP and ES futures. And this is new adding in futures and XSP is not not significant compared to the others. So this is really looking at a signal for SPX spy and ES. And this is showing with the white line it's showing price. Just like a price chart. And this purple line is showing options trades for all those instruments puts and calls and market maker hedging activity. And before I take a closer look at the signal, let's just take a look at the separate separate signals. So we'll start with SPX. And recently that SPX has been a good indicator of price leading indicator of price. And I thought the the overall signal that the S&P 500 total signal was a little bit easier to read today. And that is typically my default. The one that I was just looking at the S&P 500. So I just want to show the separate signals. Notice this is about positive 1.3 billion. And now let's take a look at spy. And this is negative 923 924 million. Pretty strong correlation between the spy hero signal and price action, especially in the morning. And then here's the ES futures. And that's pretty similar to yesterday. Definitely a very signal for today minus 430 million. And I'm looking at, in case you can't see it, this total notional value here on the right. All right, so let's take a look at the combined signal now. And again this is typically my my default. I'm going to zoom in on this. Let me zoom in on the morning. And this signal provided a strong confirmation for a short. And I'm going to separate out puts and calls. And this is pretty typical for an index product. So today what this is showing is that traders were buying calls and buying puts. And the put buyers were winning. So I'm looking at first of all the the slope of the line. And this is for the call line. It's pretty flat. And for the put line, definitely falling. Second thing I'm looking at is this notional value here. Positive 619 million versus minus 2.16 billion. And also you can see visually see the strong correlation between the blue line and price. So the blue line is showing that traders are buying puts. And the orange line is showing that traders are generally up to this point in the day. The morning session. But they're buying calls but not not as aggressively as they're buying puts. All right, so let's go take a look at book map now. And I'm going to zoom in on zoom in on the morning session here. Sorry, having a little bit of trouble with my pen tool. All right, so let's try that again. We'll zoom in on the morning session. And there were some great short setups on trend breaks. So here's the first trend break. Here's the second. There's the short first short setup. And really, anyway, I'm looking at a lot of data here. If you zoom in, you could probably certainly see more entry points. For example, a retest of this 4160 resistance level. And note that price did break below the spy 415 call wall that was expected to act as resistance as well as the 4160 level. So price as traders were buying puts overall were looking at a net combined signal for SPX. Traders were taking negative delta positions. They were buying buying puts price breaks. And you can see the shift in order flow up here with the green dots, market buy orders leading up. And then the reversal lower with the pink dots. Let me just tone down the heat map so we can just see the the price action. And the heat map is showing the resting liquidity and the history of the his resting liquidity limit orders in the order book. And I can turn down the shade so we can see the price action a little bit more clearly. So their shift in order flow from bullish to bearish. And there's your first short entry. Looks like another retest of the 4160 for a secondary entry. And then another trend break with a price target at spy 413 that acted as resistance for good bit of yesterday until the the run up the rally late afternoon yesterday. So there's the ES ES morning setups. And we'll take a look now. Note the shift in order flow around 12 o'clock. A lot of aggressive buyers coming in market buy orders in icebergs ice larger traders using iceberg orders to hide their size that shown by this rising light blue line larger traders buying weakness as price moves down to the 413 spy 413 and the SPX 4150 level. Let's see what options traders are doing now. So we know that larger traders were buying on the way down with iceberg orders and aggressive buyers came in right around 12 noon eastern time. Hero now. Zoom out. Let's take a look at let's go back to the total signal. And you can see overall that it has shifted shifted higher here starting around 12. Certainly not with not the same correlation as the morning session the morning bearish setups. All right. So that's the S&P 500. I thought the the morning session was a great you know multiple short setups with those trend breaks confirmed by put buyers and also order flow and book map. All right. The next thing I want to take a look at is NQ and I pointed this out yesterday. It worked again today just on the on the for this time on the upper edge of the expected move for the day the upper daily expected move yesterday that level acted as a price target for a move down and then a potential entry for a long setup. And you could take that any number of ways. Yesterday you could buy a call spread buy a call sell a put spread trade futures trade QQQ and just the opposite today. And this is what I'm talking about this dark blue line may be a little bit difficult to see. This is the upper daily expected move and NQ tested that a number of times. And here is the here's the cash open at about 9 30. So buy a put sell a call spread buy a put spread sell futures any number of ways and options. I think of course you would want to trade QQQ options for this or NQ options but they're probably not very liquid. So I would definitely trade QQQ options with this. So there's your short setup signaled by the upper edge of the daily expected move and definitely confirmed by order flow. Note the just like ES green dots shift to pink dots sell stop orders shown by this yellow line on the sub chart help fuel the move lower. And initially cumulative volume delta was negative and now it has shifted positive. Also larger traders were actually selling this selling iceberg orders you can see by the falling light blue line there. Alright so another nice setup short setup and NQ just just by tracking the upper edge of the daily expected move. Alright let's take a look at some stock setups. Here's Apple. Let's take a look at at Hero for Apple. And in the morning there was a if you trade first thing in the morning confirmation for a long setup and then confirmation for a short just following Hero following the market makers up and then down. Let's go take a look at book map. So here's Apple the quick run up buy sweep shown here with these small green dots and note the order flow shift from green volume dots market buy orders to market sell orders not a lot of range here price moves down to the really back down to the opening print at 166 and has chopped around that level since since the move down and note the concentration of volume shown by the session volume profile around the 166 level. So that's Apple. Let's take a look at AMD and in YouTube JEC says the signal for Hero has been so good I have been able to anticipate order flow and direction well with it same here. I agree completely I think it provides a significant edge. You have to know you have to know your instruments that's why I trade and look at the same instruments day after day and I have a good feel for how they're going to respond for example quite often there are divergences that you can take advantage of with the S&P 500 and for Tesla as we'll see in a few minutes there's a very strong correlation between options trades hedging flow and price action. So you know that's that's why I follow the same instruments and watch them day after day. All right so here's AMD. Let's take a look at Hero for AMD and in the morning I'm going to zoom in on this so here's what a divergent setup looks like. Here Hero starts to make lower highs starts to move lower price makes an equal high slight maybe slightly higher high and then follows and that that was about a 10 minute a five minute I'm sorry five minute advance warning of the move lower and let's go take a look at book map again so there's AMD we'll zoom in sometimes the shift in order flow is not as clear in AMD as some other stocks but I think here it is buy sweeps up into this 92 liquidity and then aggressive sellers start coming in note the sell sweeps here so the buy sweep is the that's shown with the sweep indicator in book map the small green dots and then the sell sweeps are shown with the small red dots the aggressive sellers and then also the the volume dots change from green market buy orders to pink market sell orders and price moves down to the primary target at the 90 hedge wall key gamma strike in no liquidity at that level so good for a two-point move in AMD all right so nice short setup nice divergent short setup in AMD and looks like price is now continuing lower making a series of lower highs let's just see if there's any oops next target below would be 89 and then 88 as higher liquidity heading down towards the lower edge of the expected move for the week shown by that purple line there so that's AMD and the next is Google and I just added the added Google today so I have not had a time to had have to have had time to fill out my spreadsheet for Google so I don't have the I don't have the cloud notes yet I'll have these tomorrow for Google but I took snowflake out and added Google so I'll have the cloud note levels in tomorrow we can take a look at hero and we'll see where those levels are if there are any levels that are in play for Google and so 105 is the key gamma strike so that was the primary target for today and note another divergent setup hero moving lower while price makes equal highs and then moves lower and there was a 10 to 15 minute warning in advance so when I see this I see the divergence then I go to book map and start for looking for signs for a reversal and this triple top here not a lot of signs in the order flow still a lot of green dots there but the options traders were clearly driving price lower so there's a break below VWAP then to pull back for another short not a lot of range here's the 105 hedgewall key gamma strike so about a point and a half depending on your entry point range right so that's Google I'll have the uh have the levels in my cloud notes tomorrow here's meta let's go take a look at hero so I'm sorry that 105 was the key gamma strike and the key delta strike for Google all right let's take a look at meta and what I was looking at meta I'm going to separate outputs and calls and you can see that call sellers were in control today so I'm comparing the blue line with the orange line first after traders initially sell puts they quickly stop and then they're they start selling calls not quite the nice divergent setups that we saw in AMD and Google this one required a little bit more observation separating outputs and calls but overall negative delta hedging flow hedging flow back to book map so there's meta short setup and here at this reversal above VWAP again you can see the shift in order flow buy sweep market buy orders with green dots coming up the price of reverse is lower as aggressive sellers come in you can see that with the pink dots and all this is taking place below the 220 key gamma strike so that's meta here's Microsoft let's take a look at hero and this is more of a confirmation setup a little bit bearish initially hero levels off price rises a little bit then traders start more aggressively taking negative delta positions and price follows with a break below the 290 key gamma strike trend break and then a price below move below the 290 key gamma strike look book map so here is the there's that trend break not quite almost a retest of the 290 key gamma strike and then price moves lower to liquidity targets below at 288 and 287 and note price does move below VWAP so it tests VWAP and moves lower and then breaks below the 290 key gamma strike that's Microsoft then price chopping around the between the 287 288 level and note the volume concentrated in the session volume profile just below the 288 level right let's take a look at Nvidia and really choppy session this is I find something like this kind of a little bit difficult to trade this great shot up five 10 first five 10 minutes if you're ready for that and that's what you're looking for um and let's uh let's take a look at um hero just to point out price moved right up to the 280 call wall and it did act as resistance as expected so it overshot a little bit up to 281 but then move lower let's take a look at hero and video confirmation long in the first 20 minutes and there were some pullbacks if you zoom in you can see the pullback entries pullback entries as hero is making a straight line up to the 280 call wall and then above hero levels off and price moves lower so once the options traders start taking profits or reversing taking negative delta positions price reverses lower so knowing that that 280 was expected to act as resistance um made for a good price target for the morning move higher and then also for short at that level that's in video let's take a look at qqq and the qqq signal has been um let's say a little bit out of sync the options traders have been a little bit out of sync with price action and qqq recently but this was a uh divergent short in the morning so just a few minutes after the open hero starts making a lower high qqq moves up and then starts moving lower let's go take a look at book map so here's qqq chop around the 321 level and remember that was the uh in q uh upper edge the uh daily expected move and then price dropped sharply and remember the options traders were already taking negative delta positions order flow shifts bearish price drops below vwap and makes a quick drop down toward the 318 volatility trigger so combined with uh for this for the morning this morning move uh combined with knowing that in q was that the upper edge the uh expected move for the day and hedging flow was bearish traders were taking negative delta positions uh set up a good short in qqq today let's take a look at spy and this is just a another version of the smp 500 so showing the same setup a little bit easier to read in in uh es so if i if i'm trading spy i often look at the es chart let's take a look at tesla so i mentioned tesla a while ago strong correlation between hedging flow and price action so you can see for qqq for a comparison a divergent setup in the morning and then not much correlation then on the other hand here's tesla and typically in the morning especially there's just a very strong correlation one to one correspondence between hedging flow and price action and i think that's because when traders are taking options positions in tesla market makers hedge that activity right away um for example for a single stock if traders are buying calls market makers are selling the calls and they have to buy stock to hedge their delta exposure all right so there's tesla confirmation up and down and let's zoom in on the morning here choppy in the um over about the first 45 50 minutes and then hero starts to move lower and price moves lower as well and let's see what traders were doing here so up to this point in the day about 10 30 traders were buying calls i'm looking at this notional value it's positive 11.25 million and then they were buying puts and the put buyers were winning this is minus 48 million so the put buyers were in charge and when you separate out the lines like this and you can see this in in hindsight sometimes during a real time you know if you're looking at 9.50 the information might be different but then it shifts or 9.52 9.55 so we know at that time at 9.50 that traders were they were buying puts shown by the falling blue line and they had been buying calls and they stopped buying calls and then there's the signal to short so let's take a look at at bookmap down going to zoom in trend break entry all right so we know that and there's that little consolidation uh for about five minutes so we know that traders were buying puts and around here we know that they had stopped buying calls price drop takes a quit drop lower does a retest of the 187 level in vwap and then moves lower so there's your short setup in nvidia first price target at the 187 185 hedgewall level next price target next round number liquidity level at 184 so a three-point drop in tesla there let's just take a look at cvd i often look at cvd for tesla and you can see the shift from slightly bullish neutral to bearish and you can see that here as well the pink dots coming in by sweep up to the 187 50 level consolidation then the drop lower again as traders started taking negative delta options positions all right that's tesla and let's take one last look at the s and b500 and then we'll wrap it up for the day so tesla trying to recover here let's just see what it's going to do at the uh see if we get any signal at this 185 hedgewall see if it's uh trend break retest of the 185 let's take a look at hero and see if we uh get any signals see if that's going to be uh let's just take a look at hero take a look the total signal zoom out so now it looks like hero is moving lower making lower highs all right so there's tesla and let's take one final look at the s and b500 and then we'll wrap it up for the day so now it looks like overall hero is still net negative but traders are continuing to take positive delta positions and that started around 1 pm eastern time go to book map keep an eye on tesla and there's the s and b500 and this is a pretty typical pattern morning move down and then a rally up in the afternoon and price could head up to the 41 60 level sb sbx 41 60 potentially the spy 415 call wall and maybe higher who knows although it appears to me that order flow is not really supporting a lot of this note the kind of the flat line for cvd icebergs and stops all right so that's all i have for today uh everybody was kind of quiet today there were a lot of questions yesterday uh not much today so anyway i'm going to wrap it up that's all i have for today thanks for watching and i will see you tomorrow


Well, it's going on everyone Sam here with latent sports cards, and I'm ripping one box of 2021 22 Topps inception overtime elite basketball for Kim S. So good luck Kim. Just want to see if I can get this Not wrong here. Well congrats on the wedding Kevin Good luck here. Kim See what we got we're looking for the Thompson twins. I would say it's probably our number one Number one hit out of this. Maybe John Montero a few other guys in this too. It's all something nasty This is similar to tops inception. I believe it probably will be a lot of color and stuff in this Got Tyler Smith rookie, but GZ on Gortman Purple I don't believe that's numbered unless I'm missing it Not numbered. Got John Ed Walker Blue not numbered nice one to start. We've got how about a gold 12 out of 150 a star Thompson. There you go, Kim One of the guys you are looking for very solid hit right there God Jalen Lewis That is blue 29 out of 199 on the Jalen Lewis Got auto Malik bowman That is orange seven out of 50 nice one there. Heck. Yeah Take the Jalen or the Malik bowman and nice box for you here Kim. How about RPA a man or a men Thompson That's 84 out of 99 on the pink. So a hit of both the Thompson twins very nice a Saurin a man. Heck. Yeah, congrats on that Kim That'll do it for your break there Kim congrats on the hits. We'll get them right out to you. Thanks again


This collection of slides features images of coral in a palette of violet, turquoise, and golden yellow with hints of neon blue. Magnification ranges from a power of 23 to a power of 397. Montepora Undulating pocked Montepora coral resembling a mountain range of rolling hills. Violet in the center, golden yellow at our lower left, and turquoise at the upper right. The spiked and pocked surface of a Montepora coral resembling a dense evergreen forest on rolling hills. Zeppelin-shaped polyps rising out of a Montepora coral amid recessed shapes resembling dandelions. A zeppelin-shaped polyp rising out of a Montepora coral surrounded by recessed shapes resembling dandelions. The cratered surface of a Syphastria coral. Each crater is crisscrossed with lines, like bicycle wheels and spokes. The cratered surface of a Syphastria coral. Several small cracks like peeling paint mar the surface between the crisscrossed craters. Favates, a dense irregular quilt of dandelion shapes. Turquoise at our lower right with violets and yellows at our upper left.  Ganiopora, a blanket of tightly-packed pockmarked craters. Golden yellow at our lower left muted violet through the center and upper right. Ganiopora, several tightly-packed craters on the surface of a Ganiopora coral. Each individual crater is pocked in a snowflake pattern. Poratace, a vast blanket of tiny holes surrounded by jagged spikes like the open mouth of an inflated neon purple blowfish. Poratace, a vast blanket of tiny muted violet star shapes resembling a loosely-knitted afghan. Poratace, a field of clustered stars against a black backdrop. Leptastria, a field of recessed dandelion shapes on a curving surface resembling deep impressions in the snow.


Hi, this is Dr. Don. I want to take a couple of seconds here and show you how to easily and quickly create a shareable link to your Posit Cloud workspace. Let's say you are working on an assignment and you hit a snag and you need to get some help sorting out what's going on. Now one way to do this is to create a shareable link so someone can see your laboratory, your workspace, just as you are working with it. There are two ways to do this. One is to go up and click on the three little dots here, click on that and you can see it says share link. When you click on it though it says you've got to change the access in the settings. So let's go there, we'll go click on the gear which is our settings, go to access and change it from private to all cloud users. Now when we go back here to get the shareable link, all we've got to do is put the email address of the person that we want to send the link to and we can put a message in there. So that's one way you can do that. Another way you can do it, particularly if you are trying to send it to a bunch of people and maybe even text the link. Once you've changed the access to all Posit Cloud, all you've got to do is copy that URL, control C for copy on a PC and then you can paste that into your email that you're sending to the person and they will get access to a copy of your workspace. It won't be, they won't be working right in your workspace so they can't mess anything up but they'll have a duplicate of what you're working on so that they can then help you sort out the errors and the issues. So I hope this helps.


The mission of the Marine Corps Rifle Squad is to locate, close with, and destroy the enemy by fire and maneuver and repel the enemy's assault by fire and close combat. Today we're at Gulf 29 Charlie, an infantry platoon battle course that was designed by Marine gunners and built by our very own combat engineer Battalion. Gulf 29 Charlie allows infantry and infantry-like units to employ all organic weapons systems honing their combat skills and further enhancing their warfighting capabilities.


Barry Weiss a few days ago Over the last few days has published two I think important letters that go to the heart of this The first is by a teacher and The title of the title of this is I refuse to stand by while my students are indoctrinated Children are afraid to challenge the repressive ideology that rules our schools. That's why I am Now you'll notice sadly That even though these individuals speak up Identify clear evils in the approach of those trying to indoctrinate our children They don't really have an answer They don't provide an alternative an alternative lens and a ton of view of the world an alternative way to integrate What we see around us and that's why I fear I fear that in spite of the fact that there's now opposition I don't know how long it can last Because it provides an alternative and of course that only opens it up for if we go back to the dem hypothesis for the alternative to be some Misintegration on a large scale and M2 that will lead us directly into authoritarianism Just so we can avoid the complete fragmentation of our society caused by this nonsense being taught in our schools So this is a letter from a teacher at Grace Church High School in Manhattan Grace Church. It's a religious school Dominated but but very very leftist he writes my school is asking me to embrace anti-racism anti-racism training and pedagogy that I believe is deeply harmful to them To the students and to any person who seeks to nurture the virtues of curiosity empathy and understanding What is this anti-racism training require it requires teachers like myself you writes To treat students differently on the basis of race. It requires them to be racists Because that's what racism means treating people differently based on their race Furthermore in order to maintain a united front for our students Teachers at Grace are directed to confine our doubts About this pedagogical framework to conversations with an in-house Listen to this office of community engagement as you read this If you know a little bit of history Think about how different or the same this is with Mao's Cultural revolution the teacher writes my school like many others induces students by shame and Suffolk Street To identify primarily with a race before their individual identities are fully formed Students are pressured to conform their opinions to those broadly associated with a race and gender and to minimize or dismiss Individual experiences that don't match those assumptions The morally compromised status of oppressor is assigned to one group of students based on the immutable color of their skin characteristics in the meantime dependency resentment and moral superiority are cultivated in students considered oppressed From each according to his ability to each according to his needs the oppressor the oppressed all this of course is done in the name of equity the new catchphrase for the left So this teacher recently raised questions about this ideology in a mandatory whites only Students and faculty zoom can you imagine having a whites only meeting?  It doesn't it doesn't I Mean what strikes me it makes me so angry is it doesn't really justify comment Why do we need to be commenting on this? Why do we need to be discussing this? racism since the 1960s has been identified as evil and These people are embracing it wholeheartedly With a moral superiority that is just Disgusting now it turned out that this meeting by zoom for white only Was a beta switch self-care seminar labeled? that labeled Objectivity individualism fear of open conflict and even a right to comfort as characteristics of white supremacy individualism is Characteristic of white supremacy and you know we can go on and on anyway the teacher After he confronted this and challenged some of these assumptions Was informed by the head of high school that his philosophy philosophical challenges has caused harm to students harm Given that these topics were life and death matters about people's flesh and blood and bone He was reprimanded for acting like an independent agent God forbid Of a set of principles ideas of belief He was told that by doing so He failed to serve quote the greater good in the higher truth He created dissonance for vulnerable and uninformed thinkers and neurological disturbance in students It was borderline what he did constituted harassment why because he challenged the authorities he challenged the perspective of the new little intellectual dictators a public reprimand this is so Chinese cultural revolution a Public reprimand was then read aloud in all the classes about this teacher's conduct He then had you know Anyway By writing this article by pointing all this out right pointing all this out He committed a sin. He challenged the authorities He's been told to work at home now Can't come into the school Because he poses a threat To his students or people opposed the threats against him. So he is a security threat They won't fire him they say But they've asked him to teach him home using zoom Last year at grace this religious school the students asked for some diversity of points of view and The teacher thought of bringing in Glenn Lowry a brown university professor in public intellectual. You might know him. He's very good Who is black? Bad who is I'd say center-right or kind of a nuance thinker he thinks wow what a concept the head of school banded Quote this is the quote the head of my school people like Lowry's lived experience and Therefore he has derived social philosophy notice that the only way you can have an idea is because he lived it He can't actually develop an idea Made him an exception to the rule that black thinkers acknowledge structural racism as the paramount impediment in society in other words Lowry didn't come to the conclusion that structural racism doesn't exist His shared experiences his lived experience shaped him to have that view no free will no self-determination The headmaster the head of school added the moment We are in institutionally and the moment we are in institutionally and culturally does not lend itself to dispassionate discussion and debate and Having Lowry's ideas would only confuse or inflame students both those in the class and others that chew about an outside class He preferred to assign Mainstream white conservative then having a black conservative because that's too confusing black and conservative. It's like Black and object. I mean you can't do that an objective is you can't that's not allowed notice how they want Everything to be about race.  I mean these kids are being trade trained to be racist under the guise of a fantastic Superior private education finally yesterday. I think it was a Parent spoke up and this is an excellent excellent excellent Essay that I encourage you all to read Barry wise published it. It is called a New York father pulls his daughter out of really really with a message to the whole school It is Barry wise published it sits on her substack Barry wise that substack calm It's excellent. If parents did this this problem would be gone I'm gonna read you I'm gonna read some of this letter to you And he's writing this to the parents. This is a parent of a student Dear fellow really parents Our family recent made the decision to not decision not to re-enroll our daughter at really for the 2021-22 school year She's been at really for seven years beginning in kindergarten in short We no longer believe that really administration of border trustees have any of our children's best interests at heart Moreover, we no longer have confidence that our daughter will receive the quality of education Necessary to further her development into critically thinking responsible enlightened and civic-minded adult I write to you as a fellow parent to share our reasons for leaving the brewery community It cannot be stated strongly enough that really's obsession with race must stop Really is a 40,000 sorry $54,000 a year or girl school 54,000 dollars It should be abundantly clear to any thinking parent the really has completely lost its way The administration of border trustees have displayed a cowardly and appalling lack of leadership by appeasing an anti-intellectual Illiberal mob and then allowing the school to be captured by that same mob What follows are my own personal views and really anti-racism initiatives But these are just a handful of criticisms that I know other parents have expressed This is really well-written really hard-hitting really Spot on I Object to the view that I should be judged by the color of my skin This is what people need to say. This is how people need to rise up I cannot tolerate a school that not only judges my daughter by the color of her skin, but encourages and instructs her to prejudge others by theirs By viewing every element of education every aspect of history and if he facet of society through the lens of skin color and race We are desecrating the legacy of dr. Martin Luther King and Utterly violating the movement for which such civil rights leaders believe fought and died I Object to the charge of systemic racism in this country and at our school systemic racism properly understood is Segregated schools and separate lunch counters. It is the interning of Japanese and the exterminating of Jews systemic racism is unequivocally not a small number of isolated incidents over a period of decades Ask any girl of any race if they've ever experienced insults from friends Of course they have ever felt slided by teachers or have ever suffered the occasional injustice from school at which They have spent up to 13 years of their life and you are bound to hear grievances some petty some not We have not had systemic racism against blacks in this country since the civil rights reforms of the 1960s a period of more than 50 years The state otherwise is a flat-out misrepresentation of our country's history and adds no understanding To any of today's societal issues if anything Long-standing and widespread policies such as affirmative action point in precisely the opposite direction This is good stuff. I Object to a definition of systemic racism Apparently supported by really that any educational professional or societal outcome where blacks are underrepresented is prima facie Evidence of the aforementioned systemic racism of white supremacy and oppression good for him Fassile and unsupported beliefs such as these are the polar opposite to the intellectual and scientific truth for which really claims to stand furthermore I call bullshit on Brailey's oft stated assertion that the school welcomes and encourages the truly difficult and uncomfortable conversations regarding race and the roots of racial disparities I Object to the idea that blacks aren't able to succeed in this country without aid from government or from whites Really by adopting critical race theory is advocating their abhorrent view point that blacks should forever be regarded as helpless victims and Are incapable of success regardless of their skills talents or hard work What really is teaching our children is precisely the true and correct definition of racism In other words really is teaching racism Scott says why isn't objectivism coming out with such strong language? What have I been doing for the last year? God I Let's say Let me just I'm just looking through the letter I don't want to read the whole letter to you should you should actually get it yourself We have today in our country from both political parties and all levels of government the most unwise and Unvirtuous leaders in our nation's history. Amen Schools like really are supposed to be training grounds for those leaders a Nation will not survive a generation of leadership even more poorly educated than we have now No, we survive a generation of students taught to hate its own country and despise its history Lastly object with the strong. Well, I Objected the school is now fostering an environment where our daughters and our daughters teachers are afraid to speak their mind in class For fear of quote consequences Objective really is trying to up use up the role of parents and teaching morality and bullying parents to adopt that false morality at home Objective really is fostering a divisive community where families of different races, which until recently were part of the same community Are now segregated into two These are the reasons why we can no longer send our daughter to really Over the past couple of months several months I personally spoke into many braily parents as well as parents of children appear institutions It is abundantly clear that the majority of parents believe that really is anti-racist policies are misguided divisive counterproductive and cancerous Many believers I do that these policies will ultimately destroy what was until recently a wonderful educational institution But as I am sure will come as no surprise to you given the insidious Cancer culture that as of late permeated our society most parents are too fearful to speak up But speak up you must There is strength in numbers and I assure you the numbers are there Contact the administration of Board of Trustees and demand an end to the destructive an Anti-intellectual claptrap known as anti-racism and if changes are not forthcoming then demand you leadership For the sake of our community our city our country and most of all our children Silence is no longer an option Now this is an amazingly well-written letter. It's written by Andrew Gutman. I recommend it unfortunately He attacks and attacks and attacks it would be nice again to have a positive Something about individualism treating people as individuals, but that I guess is too much to ask but this is amazing His name is Andrew Gutman g u t m a n n Let me see I'm gonna post a link in the chat to the letter I will also add it to the description Underneath I Generally strongly highly recommend that Strongly highly recommend that you subscribe to Barry Weiss's sub stack Which you can Google Barry Weiss up stack, but here's the link. It's on Barry Weiss up stack But subscribe and then you'll get all this all these good stuff. She she's Really good. You're not gonna agree with a lot of what you wait, but a lot of it You will and she's gonna publish a lot of stuff on this kind of educational issues. So I think it's incredibly incredibly valuable What we need today what I called a new intellectual would be any man or woman who is willing to think Meaning any man or woman who knows that man's life must be guided by reason by the intellect Not by feelings wishes wins or mystic revelations Any man or woman who values his life and who does not get want to give in to today's cult of the spare cynicism and impotence and does not intend to give up the world to the dark ages and to the role of the collectivist All right before we go on reminder, please like the show we've got a hundred and sixty three live listeners right now 30 likes That should be at least a hundred. I figure at least a hundred of you actually like the show Maybe they're like 60 of the Matthews out there who hate it, but but at least the people who like it You know, I want to see I want to see a thumbs up. There you go. Start liking it I want to see that go to a hundred all it takes is a click of a click of a thing whether you're looking at this And and you know the likes matter. It's not an issue of my ego It's an issue of the algorithm the more you like something the more the algorithm likes it So, you know, and if you don't like the show give it a thumbs down Let's see your actual views being reflected in the likes But if you like it, don't just sit there help get the show promoted. Of course, you should also share and You can support the show at your own book show com slash support on patreon or subscribe star or locals And and show you support for all for for the work for the value. Hopefully you're receiving from this and And of course, don't forget if you're not a subscriber Even if you even if you just come here to troll or even if you hear like Matthew to defend marks Then you should subscribe because that way you'll know when to show up You'll know what shows are on when they're on you'll get notified, right? So yes Like share subscribe support like share subscribe support. There you go. Easy. Do one or all of those please


Hi and welcome to the session. I am Asha and I am going to help you with the following question which says define a relation r on the set n of natural numbers by r is equal to the set of all ordered pairs x and y such that y is equal to x plus 5 and x is a natural number less than 4 where x and y belong to the set of natural numbers define this relation using roaster form, write the domain and the range. So first let us learn some simple definitions starting with the term relation. Suppose we have any two non-empty sets A and B then a relation r from the two non-empty sets A to B is a subset of the Cartesian product A cross B is a subset having ordered pair x and y such that x belong to A and y belong to B. Now the set of all the first elements of the ordered pair x and y is called the domain and set of all the second element of the ordered pair is called the range. So with the help of these definitions it will solve the above problem so there are key ideas. So let us now begin with the solution. Here we have to define the relation r on the set n of natural numbers where r is defined by the set of all the ordered pair x, y such that y is equal to x plus 5, x is a natural number less than 4 so x will take the values 1, 2 and 3 and x and y belongs to n so this is the relation we have to define. When x is equal to 1 y will be 1 plus 5 that is 6 and when x is equal to 2 y will take the value 2 plus 5 which is equal to 7 and when x is equal to 3 y will be equal to 3 plus 5 that is 8. So the relation r which is the subset of the Cartesian product of n cross n will have elements 1, 6, 2, 7 and 3, 8 and the domain of r will be the set of first element of these ordered pairs which are 1, 2 and 3 and range will have all those elements which are second in these ordered pairs that elements are 6, 7 and 8. So this relation is in the lost of form. That answers. I hope you enjoyed this session. Take care and bye for now.


Question, Ed Lin, I don't know, Miss Gonzalez. Question, have you ever chased a girl that cut off contact with you after bonding with her? Have I ever chased, so have I ever chased, have you ever chased a girl that cut off contact with you after bonding with her? Be honest. I'm trying to think. So I've certainly been needy in my lifetime and I have chased women who weren't that into me. And in a few cases, I was able to win them over. What I found in those few cases, not that they cut me off, but the fact that they weren't into me very early on, even though they began a relationship with me, something was missing. And I think the fact that they cut me off early on was a really good indication that we were probably misaligned with one another. So in retrospect, I look back at any time I've chased a woman and every single time I've chased a woman, it's never, ever, ever worked long-term. It's temporarily worked for the short-term. But for whatever reason, I do believe when we reject someone right from the get-go, there's actually a good reason for it. When we have resistant for someone, there's a good reason for it. And I think from a spiritual perspective, it's because they weren't the right person for you. So men are two things.   And you might notice I'm wearing a linen shirt today. But men can operate from a place of chasing a woman because it's a competitive thing for them. Men can be highly competitive. So the chase is the competition to hook you temporarily so they can get that need of getting you early on and then they dismiss you. This is why men who come on strong and then disappear, it's because oftentimes they were hooked on the chase. This is why ladies, I know you've been indoctrinated that men love the hunt, men love the chase. Most of the time the hunt and chase is merely to temporarily conquer you. It doesn't necessarily mean wanting to be in a full-blown relationship with you. Then there are men who are needy, like I was very needy in the past because I had an anxious attachment style. And if you're not familiar with the book Attached by Amir Levine and Rachel Heller, I highly recommend reading this. I had an anxious love attachment style.  But again, it only temporarily worked because I think ultimately our spirit knows who's the right person for us right from the very get-go. We just don't often listen to our spirit. Oftentimes it's our ego or our insecurity that's driving the bus. Let me repeat that. It's our ego or insecurity driving the bus and not our heart-centered space. This is why I'm such a big proponent of reading the books I recommend. In fact, I highly recommend reading Spiritual Partnership by Gary Zukoff. This is a great book to tap into your spiritual side as well as if the Buddha dated, if the Buddha dated. Oh my God, this is a great way to tap into your spiritual side to navigating life. And you might find that you meet a partner that's more aligned to who you are and what you want. So that's my invitation. Miss Gonzalez, thank you so much for that question. I really appreciate it. All right, let's keep swimming.