![]() We have previously written about several factors driving this metric including the heightened performance of the used vehicle market in the pandemic due to production shortages and shipment delays for new vehicles as manufacturers have experienced partial shutdowns. Like new vehicle GPU, this metric refers to the gross margin achieved on the retail sale of a used vehicle and is measured by the retail selling price less the cost paid to acquire the vehicle divided by total units retailed. Similar to the new vehicles retailed which excludes fleet sales, it should be noted that this metric refers to retail sales only and does not include used vehicles for wholesale. Like its new vehicle gross profit counterpart, this metric has also climbed to its highest point in the observed period, currently at $2,678 per unit. ![]() The chart below displays the annual new vehicle gross margin from 2012 through the current year-to-date. Though as noted above, this is not captured in new vehicle gross margin.Īs of October 2020, retail gross profit per new vehicle or new vehicle gross profit per unit (“GPU”) climbed to $2,355 for the average dealerships as defined by NADA. This eclipses a previous high of $2,226 achieved in 2012. The year-to-date figure represents a nearly $280/unit increase over the average figure of $2,076 from 2012 through 2019. The denominator is the total number of vehicles retailed, or new vehicles sold less fleet sales which, as we’ll discuss in a future post, is subject to different operating environments. Over time, auto dealers’ new vehicle gross margins have been compressed as a percentage of retail sales price as consumers have become more knowledgeable about manufacturer costs and sticker prices in the information age. Dealerships aim to create long-term value by placing more new vehicle units on the road in hopes of the continuing service revenue that results from miles driven. These fixed operations tend to be higher margin, which aids the overall gross margin of the dealership. The numerator is gross profit achieved on the retail sale of new vehicles and is measured by the retail selling price less the cost paid to the manufacturer for the dealership to acquire the vehicle. Industry professionals also often refer to this metric as “front-end margin” meaning front of the showroom and not including elements of fixed operations. We previously discussed the use of the NADA dealership profiles as a useful tool to examine timely monthly data based on averages or dealership type. Three specific metrics in the data have reached their highest level since the data was originally published in 2012: new vehicle retail gross profit per unit, used vehicle retail gross profit per unit, and used-to-new vehicle unit ratio. Market conditions vary drastically across all industries and even geographically within the same industry due to local government restrictions. It’s critical for auto dealers to continually analyze all aspects of their business and be ready to capitalize on industry trends. In a strange year of oddities, 2020 has all of us constantly evaluating life’s basic truths.
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![]() It lights up but then makes him scream in agony and drop either dead or unconscious. Before the four village recruiters are rescued from a mob of lepers by Han and his friend, they’re being hit on by some sleaze, and they get rid of him by humoring him that maybe he’d be worthy and letting him hold the sword. ![]() But actually my favorite thing in the movie is a fantastical embellishment: the magical sword. It’s not a good movie or adaptation of the Kurosawa classic, but it is pretty fun to look at as a completist because it does follow alot of the original story. I suspect something happened and they lost or didn’t complete her footage, had to fake this in post-production. After one of the dudes and Julia fend off a bunch of attackers the dude says “Y’know something? I knew you’d come back,” and starts to kiss Sybil, but she’s immediately stabbed in the back, it cuts away and she’s not seen or mentioned again, not even as a dead body. The production values are low and the actors are all dubbed with what sounds like other people’s voices. This is a crappy, low budget quickie produced by Cannon and directed by Bruno Mattei (WOMEN’S PRISON MASSACRE) and Claudio Fragasso (TROLL 2). Compared to the life we lead, living off the land, going where we want when we want, answering to no one, free!” He says (maybe jokingly?), “Think of what life in a village like this must be like, among frightened, defenseless farmers sweating in a field from morning ’til night. But in a strong contrast to samurai leader Kambei, Han is very satisfied with his lifestyle and place in the world. As in both SEVEN SAMURAI and MAGNIFICENT SEVEN, only three survive (they even have burial mounds), one being the young student, who decides to stay with a woman he met. It’s just building to a visually bland stretch of sword clanking and arrows shooting in some barren place with a bunch of brick walls and archways. There’s not much attention paid to training or strategy. Unfortunately the part of the movie that takes the least from Kurosawa is the meat: the preparing for, waiting for and then waging the battle. When he turns on a dime and asks for him to go on a quest the guy immediately agrees, explaining that he’ll do anything to protect children and old people. Lou tests him by taunting him into a fight and feeling out his strength and wrestling skills. In this version he’s doing it with a battle ax until some kids egg him on to do it with his bare hands. I guess he’s not strong or immortal enough to do it on his own, so he has to put together a team which includes some gladiator friends and a badass cynical mercenary lady named Julia (Sybil Danning, who had already been in the space version of SEVEN SAMURAI, BATTLE BEYOND THE STARS).Īs in both SEVEN SAMURAI and THE MAGNIFICENT SEVEN they find one guy while he’s chopping wood. ![]() They find Han (Lou Ferrigno, also in his first movie, though he’d already done six seasons of The Incredible Hulk), a gladiator who is said to be immortal, but it’s not really explained very well. Find somebody worthy and get him to come protect the village. So she sends Pandora (Carla Ferrigno in her movie debut) and three other women into town with “the mystical Sword of Achilles,” which can only be held by the worthy. ![]() Obviously.Īn evil Ming-the-Merciless-Halloween-costume-looking-motherfucker named Nicerote (Dan Vadis from EVERY WHICH WAY BUT LOOSE and ANY WHICH WAY YOU CAN) who apparently has some kind of magic sorcerer powers threatens his own mother (Barbara Pesante) that he’s gonna come back and attack the village after the harvest. THE SEVEN MAGNIFICENT GLADIATORS is the sword and sorcery version of the SEVEN SAMURAI story. The coverage of this foundation is very light but can be layered to a medium. It’s even lighter than some BB creams I’ve tried! Before the foundation is blended It’s one of the lightest foundations I’ve ever used. This foundation has super fluid texture with an air light feel. That way you can touch-up your makeup without any mess. so that you can use the liquid foundation at home and take the compact with you on the go. This and Isadora’s Nude Super Fluid Foundation has the same formulation. There’s a unique concept behind this compact foundation. A tight fitting plastic lid separates the puff from the foundation. The silver hued compact comes with a full sized mirror and has a separate compartment that contains the foundation. I would compare it to Bourjois because I’ve never been dissapointed by either brand. This cruelty free brand’s quality is comparable to many high end makeup brands but is very affordable. ![]() Isadora is a Swedish born makeup brand that has an amazing range of products. ![]() But if spending AED220 on something you haven’t tried before makes your head spin give the Isadora Nude Cushion Foundation a try. The only one I’ve seen in store is the Lancome compact which was launched last year. Ĭushion compacts are not common in the UAE. You press the puff in to the foundation and then apply it to the skin using a rolling motion. Isadora Nude Cushion Foundation in 12 -Nude SandĬushion compacts are a major Korean beauty trend and it’s being embraced by the West with open arms.Ī cushion foundation has a spong that’s saturated with a liquid foundation and is applied using the puff that comes with the compact. He is a superhero that hails from somewhere in the U.S. He's the Cherry Cricket!) Más veloz que una montaña, Más ágil que un refrigerador, Más astuto que un aguacate, ¿y quién es?, Es……, ¿Una paleta helada, ¿Un clavel?, ¿Un cuaderno cuadriculado?, ¡No!, Es…., ¡El Chapulín Colorado! (Faster than a mountain, More agile than a refrigerator, smarter than an avocado and who is he?, He’s……, A popsicle?, A carnation?, A squared notebook?, No!, He’s…., The Cherry Cricket! Recurrent characters besides the protagonist Heroes ¡Es el Chapulín Colorado! (More agile than a turtle, stronger than a mouse, nobler than a lettuce, his shield is a heart. Más ágil que una tortuga, más fuerte que un ratón, más noble que una lechuga, su escudo es un corazón. Parodying Superman's "Faster than a speeding bullet, more powerful than a locomotive" introduction, Chapulín was introduced as follows in the show's opening, reinforcing the idea of a barely powered hero: Despite this, Chapulín tried his best to help, and all his adventures ended well (though sometimes by sheer good luck or outside help.) Recognition caused him to boast, only to stumble and fall right away, proving himself to be puny and timid, and disappointing his fans. In each episode, people recognized Chapulín wherever he appeared (one episode took place on the planet Venus), believing him to be a great superhero. The show embodies many aspects of Latin and Mexican culture while making a critique on the unrealistic image of superheroes. "Chapulín Colorado" translates literally in English as "The Red Grasshopper" or "The Cherry Cricket" (the word chapulín is of Nahuatl origin and applies to a Mexican species of grasshopper, while colorado means "red". Overview Roberto Gómez Bolaños ( Chespirito) as El Chapulín Colorado ![]() Although the series has a regular cast, all actors but Gómez Bolaños play different characters each episode, and it is therefore described as an anthology series. Both shows have endured in re-runs and have won back some of their popularity in several countries such as Brazil, Colombia or Peru. It was first aired by Televisa in 1973 in Mexico, and then was aired across Latin America and Spain until 1981, alongside El Chavo del Ocho, which shared the same cast of actors. It was created by Roberto Gómez Bolaños ( Chespirito), who also played the main character. ![]() El Chapulín Colorado (English: The Red Grasshopper) is a Mexican television comedy series that ran from 1973 to 1979 and parodied superhero shows. ![]() Please note that each source's contribution is adjusted for elevation and the relative change present in the MERRA-2 data.Īll data relating to the Sun's position (e.g., sunrise and sunset) are computed using astronomical formulas from the book, Astronomical Algorithms 2nd Edition, by Jean Meeus.Īll other weather data, including cloud cover, precipitation, wind speed and direction, and solar flux, come from NASA's MERRA-2 Modern-Era Retrospective Analysis. To get a sense of how much these sources agree with each other, you can view a comparison of Dallas and the stations that contribute to our estimates of its temperature history and climate. KDAL, 48% 6 mi, 20 ft KRBD, 23% 8 mi, 236 ft KNBE, 20% 10 mi, 72 ft KHQZ, 10% 16 mi, 26 ft © OpenStreetMap contributors Mesquite Metro Airport (KHQZ, 10%, 16 mi, east, 26 ft elevation change).Dallas United States Naval Air Station (KNBE, 20%, 10 mi, west, 72 ft elevation change).Dallas Executive Airport (KRBD, 23%, 8 mi, southwest, 236 ft elevation change).Dallas Love Field (KDAL, 48%, 6 mi, northwest, 20 ft elevation change).The stations contributing to this reconstruction are: The estimated value at Dallas is computed as the weighted average of the individual contributions from each station, with weights proportional to the inverse of the distance between Dallas and a given station. There are 4 weather stations near enough to contribute to our estimation of the temperature and dew point in Dallas.įor each station, the records are corrected for the elevation difference between that station and Dallas according to the International Standard Atmosphere, and by the relative change present in the MERRA-2 satellite-era reanalysis between the two locations. This report illustrates the typical weather in Dallas, based on a statistical analysis of historical hourly weather reports and model reconstructions from Januto December 31, 2016. Our beach/pool temperature score is 0 for perceived temperatures below 65☏, rising linearly to 9 for 75☏, to 10 for 82☏, falling linearly to 9 for 90☏, and to 1 for 100☏ or hotter. Our tourism temperature score is 0 for perceived temperatures below 50☏, rising linearly to 9 for 65☏, to 10 for 75☏, falling linearly to 9 for 80☏, and to 1 for 90☏ or hotter. Our precipitation score, which is based on the three-hour precipitation centered on the hour in question, is 10 for no precipitation, falling linearly to 9 for trace precipitation, and to 0 for 0.04 inches of precipitation or more. Our cloud cover score is 10 for fully clear skies, falling linearly to 9 for mostly clear skies, and to 1 for fully overcast skies. Those scores are combined into a single hourly composite score, which is then aggregated into days, averaged over all the years in the analysis period, and smoothed. The beach/pool score (filled area), and its constituents: the temperature score (red line), the cloud cover score (blue line), and the precipitation score (green line).įor each hour between 8:00 AM and 9:00 PM of each day in the analysis period (1980 to 2016), independent scores are computed for perceived temperature, cloud cover, and total precipitation. The coldest month of the year in Dallas is January, with an average low of 39☏ and high of 57☏.Īverage High and Low Temperature in Dallas The cool season lasts for 3.0 months, from November 25 to February 24, with an average daily high temperature below 64☏. The hottest month of the year in Dallas is August, with an average high of 95☏ and low of 76☏. The hot season lasts for 3.4 months, from June 4 to September 18, with an average daily high temperature above 88☏. Click on each chart for more information. CoolwarmhothotwarmcoolJanFebMarAprMayJunJulAugSepOctNovDecNowNow74%74%54%54%clearovercastprecipitation: 4.2 inprecipitation: 4.2 in1.5 in1.5 inmuggy: 84%muggy: 84%0%0%drydrybeach/pool score: 6.7beach/pool score: 6.70.30.3ĭallas weather by month. In the beta version, the game was called Geometry Jump but later changed to Geometry Dash. Topala was inspired by The Impossible Game and took about four months to create the game and take it to the App Store and Google Play Store. He previously developed it for the computer but later altered his plan and made attempts to make it a mobile game. He made the remarks, 'it simply started as a template with a cube that could crash and jump' and 'there really was no detailed plan'. The game began as a project that could have moved in any direction, according to Topala. In approved user-created levels, each difficulty rewards a certain number of stars upon completion. Additionally, there are five variations of the Demon difficulty: Easy, Medium, Hard, Insane, and Extreme. The auto difficulty is reserved for 'auto' levels which do not require input for completion. User-created levels can be categorized into 12 difficulty ratings, including five of the ratings used in official levels. The creator of a level, its players and the game's moderators can influence this decision. Some custom levels have a specific difficulty determined by Topala. Changes made after verification will render the level unverified again. The creator must complete their level with all user-placed coins in normal mode before it can be uploaded: a process known as verification. The full version of the game features the ability to upload and download user-created levels. Players may also utilize three shops that use an in-game currency to acquire icons or colours. Players can earn achievements that unlock rewards, such as icons or colours. Levels are categorized into six difficulty ratings: Easy, Normal, Hard, Harder, Insane, and Demon (which contains an additional counter). Official levels steadily advance in difficulty. Each level grants rewards upon completion. The other three require a specific number of secret coins hidden within all the official levels. There are 21 official levels in the full version of Geometry Dash, 18 of which are unlocked upon installation. Furthermore, pads and orbs can be used to move the player in varying directions or change gravity. ![]() Player movement is further complicated by portals that allow the player to change between seven game modes, reverse gravity, change the size of their icon, mirror the direction of their movement, change their speed, or teleport. ĭuring gameplay, the player's icon takes the form of one of seven different game modes, each of which behaves differently with each interaction. The timing and rhythm of the in-game music are key parts of the game, often in relation to each other. There is also a "practice mode" in which a player may place checkpoints to survey or practice a level, but is unable to collect coins or gain progress for normal mode. If the player crashes into an obstacle, such as a spike, a wall or a sawblade, the level restarts from the beginning. ![]() The player manipulates the movement of their icon through input in the form of pressing or holding to reach the end of a level. Geometry Dash can be played with a touchscreen, keyboard, mouse, or controller. ![]() Gameplay The beginning of 'Electroman Adventures', the 13th of 21 levels in the game and currently the fourth to last level of Geometry Dash Lite. In addition to the original game, three other spin-off games in the series have been made: Geometry Dash Meltdown, Geometry Dash World, and Geometry Dash SubZero. In-game currency, such as stars, coins, orbs or diamonds, can be obtained from various sources, such as official levels, user-created levels or chests. ![]() In addition to the official levels, certain user-created levels have been featured in in-game content. It has a level creation system, where players can create their own custom levels, share them online and play levels designed by other players. Geometry Dash consists of 21 official levels. In Geometry Dash, players control the movement of an icon and navigate along music-based levels, while avoiding obstacles such as spikes that instantly destroy the icon on impact. The game was released on 13 August 2013 on iOS and Android, and the Steam version on 22 December 2014. Geometry Dash is a series of music platforming video games developed by Swedish developer Robert "RobTop" Topala. IOS, Android, Windows Phone, Microsoft Windows, macOS ![]() So for PEV's $A_1$, let $v_1=y_1-3$, then you have $v_1+y_2+y_3+y_4=9$ and the variables are non-negative, so the previous paragraph applies. It isn't clear whether you mean that you don't see how to get a formula for the size of the union by using inc-excl, or whether you mean that you can write down a formula but don't see how to find the sizes of the $A_i$ and the various intersections that arise, so it's a little hard to help you here. Then you ask how to use inclusion-exclusion. So the question becomes, how many ways can you choose which $r-1$ of the $n+r-1$ dots to circle? Unfortunately, PEV wrote 18-choose-3, where I think what's wanted is 15-choose-3, but now you should see how to get that part of the answer. The inclusion-exclusion principle is a well-known mathematical principle used to count the number of elements in the union of a collection of sets in terms. The uncircled dots are $n$ in number, and the circled ones divide the uncircled ones into $r$ groups (some of which may be empty), so you get $r$ non-negative integers adding up to $n$. Imagine $n+r-1$ dots in a line, and circle $r-1$ of them. You need to know the number of solutions of $$u_1+u_2+\dots+u_r=n$$ when the only restriction on the variables is that they be non-negative integers. I'm not sure I can expand on PEV's hints in a comment, so I'll make it an answer. But that's the exercise, figuring out how to manage including/excluding/then including back of what you threw away too much of /then excluding back again that littlest bit messed up in that last step. Now it gets harder, because you need to do it for 4 variables not just 2. How many solutions where $0\le x_1\le 5$, $0\le x_2\le7$? Hint: exclude the both complements, but re-include where those two complements overlap (the intersection of those two excluded ranges - what is it), because you excluded the intersection twice. How many solutions where $0\le x_1\le 5$, $0\le x_2$? Hint: exclude the complement. How many solutions where $6\le x_1$, $6\le x_2$? (these last questions don't really say anything about inclusion-exclusion yet) How many solutions where $6\le x_1$, $0\le x_2$? How many solutions where $0\le x_1$, $0\le x_2$? ![]() How many solutions to $x_1 + x_2 = 15$, no restrictions? (infinite of course) Fortunately, Inclusion-Exclusion comes to the rescue.If you don't get the larger question, start smaller first. ![]() Given these difficulties, how could we find \(\phi(1369122257328767073)\)?Ĭlearly, the program is useless to tackle this beast! It not only iterates \(n−2\) times but also invokes a recursion during each iteration. This tree will be called the Inclusion-Exclusion (IE) Tree. , the nth box contains at least q n objects. Inclusion-Exclusion Tree We will now present a simple organizational device that views the terms in the inclusion exclusion principle summation from Equation 1 as nodes of a tree. + q n n + 1 objects are put into n boxes, then either the 1st box contains at least q 1 objects, or the 2nd box contains at least q 2 objects. (You may have better luck running the code directly in the SageMath Cloud or a local installation of SageMath.) Pigeonhole principle strong form Theorem: Let q 1, q 2. For instance, attempting to calculate \(\phi(319572943)\) results in an error at the time of writing. However, if you try to increase the value of n to be too large, you may run into memory issues imposed by the Sage Cell Server used by the text. (As usual, in the web version of the text, you can change the value 321974 to calculate the value of \(\phi\) for other integers. The first just states that counting makes sense. The Principle itself can also be expressed in a concise form. Running the code above answers almost immediately that \(\phi(321974)=147744\). From the First Principle of Counting we have arrived at the commutativity of addition, which was expressed in convenient mathematical notations as a + b b + a. (Conveniently enough, SageMath comes such a function built in.) Then we can calculate \(\phi(n)\) with this code snippet: Let's assume that we have a function gcd(m,n) that returns the greatest common divisor of the integers m and n. In Chapter 3 we discussed a recursive procedure for determining the greatest common divisor of two integers, and we wrote code for accomplishing this task. Suppose you were asked to compute \(\phi(321974)\). On the other hand, \(\phi(p)=p−1\) when \(p\) is a prime. As a second example, \(\phi(9)=6\) since 1, 2, 4, 5, 7 and 8 are relatively prime to 9. 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I simply list a few as an example.Īs we know the basic 8 European nations in AOE3 are not distinctive enough.Like British,it is characterized by its unique Manor houses.But the feature had little effect on British tactics in PVP.If we look closely at the British deck, there are some very interesting unique cards about Manor House,Can develop a set of unique British tactics.But the problem remains the same, these cards are slow to take effect,or the value is not high enough.I think, with a modest adjustment,we can put them to work,and make British tactics more richer and more interesting.įlorence Nightigale: Give Manor House the ability heal surrounding units.AGE2. Next let’s talk about nation unique cards.Īmong the unique cards of each nation, there are also some cards with great potential and entertainment, which need to be improved. ![]() Towncenter Wagon: As we know,in AOE3DE the cost of town center is 600 wood.So the value of this card is lower than AGE2 cards. Livestock Pen itself in the game in the application of the place is not much, and the big problem of Ranching cards is too slow to take effect.In order to balance this series of cards, I hope to add a effect that delivering several extra animals to these cards.Īdvanced Building cards: Too slow to take effect. The design of these cards is very good, but because the units involved are very infrequently used, these cards do not have any chance to used in PVP.In the hope that the DE team will be able to re-evaluate the two units of surgeon and spy.To enhance their capabilities, or merge the functions of advanced Surgeons/Scouts/agents with those of other cards. * Advanced Surgeons* Advanced Scouts \Agents There are so many great native allies designed to play too low in battle.What a pity.Īll of European native ally cards are very interesting, but almost all of them are too weak.We need to merge some of them and enhance some of them.Redesign the entire native collection.To give native allies a real chance to take part in PVP. In addition,I suggest that all European Explorer cards combine with other underpowered card Hot Air Balloons card.And add extra one dog.AGE2 explorer cards move to AGE1. I hope in some way, for example,to reduce the initial resources,to increase the duration of AGE1 around 1 ~ 2 minutes.This will give us enough time to use one more AGE1 card.The explorer cards or the pets cards can also get a better income.The tactics of AGE1 will be greatly enriched.The characteristics of each nation can also be better reflected. We should use the cards which have most direct effect,such as the 300 resource cards or the 3 villagers card,to enter AGE2 as soon as possible and get more powerful AGE2 level cards.Otherwise we will lose.That’s why the cards in AGE1 deck are very rich,but most of them are useless in PVP games. And there’s still a bigger problem:the time of AGE1 is too short. I think all european explorers should be empowered.They were far inferior to those of Asia and America. ![]() Then let me get this started.Name several cards that I think deserves a raise. If we can balance those unpopular cards,give them higher value in PVP game, the fun of the AOE3 will be significantly increased. Thank you!įurther updates will be posted on this thread.We know that in the latest ESOC patch, The balance has been improved.But the patch just for the sake of balance, no consideration to explore the potential of the card deck and enhance the fun of the game.We know that the Age of Empires III has a very rich card deck, but more than half of the cards are underpowered and never got a chance to be used in PVP. We will continue to investigate this problem as quickly as possible and appreciate your patience as we work towards a solution. If that doesn’t work or you’re on Windows Store, head over to and submit a support ticket. Open the game again and check US Civ challenge progress. Open Steam and check for the rollback update (23511) to install If you have lost progress on your challenges (Steam only), please try the following steps: ![]() Due to this, multiplayer will be temporarily desynced between Windows and Steam while we further investigate this issue. We are aware of an issue with the United States Civilization in Age of Empires III: DE and have issued a rollback on steam for the time being. ![]() If you still run into issues after, please contact support here. This hotfix restores cross-platform MP, along with rectifying the US Civilization progress loss error for most players. FIXED - Age of Empires III: DE - Hotfix 27330 |
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