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The term tribonacci was suggested by Feinberg in 1963. Another simple way of finding nth Fibonacci number is using golden ratio as Fibonacci numbers maintain approximate golden ratio till infinite. Different methods to find nth Fibonacci number are already discussed. In the example of illustrating the growth of elephant population, he relied on the calculations made by his son, George H. Practice Fibonacci series 0, 1, 1, 2, 3, 5, 8, 13, 21, 34. The series was first described formally by Agronomof in 1914, but its first unintentional use is in the Origin of Species by Charles R. The tribonacci numbers are like the Fibonacci numbers, but instead of starting with two predetermined terms, the sequence starts with three predetermined terms and each term afterwards is the sum of the preceding three terms. These sequences, their limiting ratios, and the limit of these limiting ratios, were investigated by Mark Barr in 1913. A visualizations/applications oriented Ted talk on using the Fibonacci numbers in magical ways.In mathematics, the Fibonacci numbers form a sequence defined recursively by:į n =.Is the golden ratio the genesis of photography’s rule of thirds? How close do natural patterns adhere to the golden ratio? A well written Pixa article on photography and design applications of the golden ratio.Successive points that divide this “golden rectangle” into perfect squares fall on a logarithmic spiral with a growth factor equal to $$\varphi$$. Consider a rectangle whose length is the golden ratio $$\varphi$$ with height 1. Fibonacci numbers are also strongly related to the golden ratio: Binets formula expresses the nth Fibonacci number in terms of n and the golden ratio, and. The coolest golden ratio visualization, imo, is the golden spiral (see the first picture!).From there, you add the previous two numbers in the sequence together, to get the next number. abs ( ratio - phi )) # absolute error n = 1 # Tests # assert erval = 0.0 # absolute error equal to 0.0 if ratio = phi : # the golden ratio print ( 'done' ) Put simply, the Fibonacci sequence is a series of numbers which begins with 1 and 1. append ( fib / fib ) # ratio between cons. append ( fib fib ) # calculates next fib number ratio. append ( 1 ) n = 0 #iterator # While Loop # while erval >= tol : fib. # Libraries # import numpy as np import matplotlib.pyplot as plt # Var Init # phi = ( 1 5 ** 0.5 ) / 2 # this is golden ratio tol = 1e-16 #tolerance fib, ratio, erval = list (), list (), list () fib. Notice that the errors trend towards zero, indicating that our approximations are getting closer and closer to the true solution. The absolute errors between our Fibonacci ratio approximations and the golden ratio itself. Upon running the algorithm, we find that it takes 39 iterations for our approximation errors to converge to $$\varepsilon$$.įigure 1. We want to approximate $$\varphi$$ to a high degree of accuracy thus, we will design the algorithm to run until we converge on the computer’s epsilon error ($$\varepsilon$$), i.e., the last digit recorded on my 64-bit computer. Lets cook up a simple sequence of operations exploiting the last feature of the Fibonacci numbers discussed above. Hmm, this seems like an important property if we, say, wanted to approximate the golden ratio!Īpproximating the golden ratio with Fibonacci numbers The ratio of consecutive terms closely mirrors $$\varphi$$, and the approximations get increasingly more accurate. Each consecutive term is the sum of the previous two, i.e., the third term is also one, because 0 1=1. The first two Fibonacci numbers are zero and one. “ was an Italian mathematician from the Republic of Pisa, considered to be ’the most talented Western mathematician of the Middle Ages’”. Greek mathematicians determined $$\varphi$$ was an irrational number all the way back in the fifth century BC (woa).įibonacci numbers are closely related to the golden ratio. The golden ratio was (probably) first discovered in Ancient Greece through applications in geometry, which the Greeks emphasized. The golden ratio is a mathematical phenomenon between two numbers, say, a and b. This algorithm lets us peer into the underlying relationship between the Fibonacci sequence and the golden ratio, illuminating a number of interesting patterns. I will approximate the golden ratio by iteratively taking ratios of consecutive terms in the Fibonacci sequence. Using Numerical Mathematics to Approximate the Golden Ratio Work on the playing field is expected to begin later this month. Globe Life Field’s synthetic grass field will be provided by Shaw Sports Turf with installation completed by Texas-based Paragon Sports Constructors. The bottom of the right field video board, which measures 58 feet high and 150 feet long, will be 131”. With Globe Life Field’s retractable roof closed, the distance from home plate to the bottom of the roof truss is 193’, 10”, and the distance from second base to the bottom of the roof truss is 210’, 6”. The playing field orientation (line from home plate to pitcher’s mound to second base) at Globe Life Field will run East Northeast as opposed to East Southeast at both Arlington Stadium and Globe Life Park. Texas’ dugout will be on the first base side, and the visiting team will utilize the third base dugout. The Rangers’ bullpen will be situated in right field with the visiting bullpen in left field. The batter’s eye structure in centerfield will be 120 feet in length and 40 feet high. The outfield walls will be eight feet in height from the left field foul pole to the right field foul pole. The distance from home plate straight back to the wall of the Field Suites is 42 feet, which honors Jackie Robinson’s #42. In addition, there will be a distance marker in left field at 334 feet from home plate to recognize Nolan Ryan’s #34. Heroes get remembered, but legends never die at /jZP9fP27E0 With that configuration, Globe Life Field will feature a different configuration than its predecessor, Globe Life Park.ĬOMPARISON OF FIELD DIMENSIONS Globe Life Park / Globe Life Field Left Field Line: 332’ / 329’ Left Field Power Alley: 390′ / 372’ Center Field: 400’ / 407’ Deepest Distance of Park: 407′ / 410′ Right Field Power Alley: 381′ / 374′ Right Field Line: 325′ / 326′ GLOBE LIFE FIELD DIMENSIONS Left Field Line: 329 feet (Adrian Beltre’s #29) Left Field Power Alley: 372 feet (Rangers’ first year in Arlington–1972) Center Field (straightaway): 407 feet (Ivan Rodriguez’ #7) Deepest Distance of Park (both left and right of straightaway CF): 410 feet (Michael Young’s #10) Right Field Power Alley: 374 (The Turnaround Gang, 57 to 84 wins–1974) Right Field Line: 326 feet (Johnny Oates’ #26) In addition, the distances in the left field and right field power alleys will recognize two early seasons in Rangers’ history. The distances have been designed to honor the five Rangers whose numbers have been retired by the club. The Texas Rangers have unveiled details on the playing conditions at their upcoming Globe Life Field, including dimensions with homages to the team’s history. By Ballpark Digest Editors on Decemin Major-League Baseball, News Madonna current pictures8/7/2023 A world that refuses to celebrate women pass the age of 45 And feels the need to punish her If she continues to be strong-willed, hard-working, and adventurous,” she explained in a lengthy Instagram post. “Once again I am caught in the glare of ageism and misogyny that permeates the world we live in. Never one to shy away from a fight, Madonna herself hit back at haters who slammed her for “betraying” them. “And I think she’s strong enough to weather whatever complaints people have about her now and for always.” “She knows who she is, what she wants, what she wants to look like, what she wants to wear, what she wants to say,” the pop superstar’s “A League of Their Own” pal Rosie O’Donnell, 64, told Page Six exclusively. Madonna obsessed with cheeks, wants to look like ‘2000s’ version of selfĪlthough some insiders claimed Madonna was in a “crisis of confidence” after the critical remarks from the Twitterati, one of her oldest celebrity buddies said she’s unfazed by critics. Can it?”Ī source told The Post at the time that the singer’s puffy look was a result of an obsession with her cheeks, adding: “She doesn’t realize that it’s making her look a bit like a caricature of herself.” Madonna and Garner posed for pictures together while eating. Twitter was ablaze with snarky star watchers saying they didn’t recognize Madonna after her now notorious “swollen surgery face” at the 2023 Grammys in February, with one sniping, “That can’t be her. Madonna and Julia Garner were out together Sunday night for a birthday party. She also appeared unbothered by the ongoing social media speculation over her always evolving look. On a break from grueling rehearsals for her much anticipated, global “Celebration Tour,” the “Hung Up” icon looked quite different than the often-filtered Instagram version of herself. Madonna, 64, was sporting orange hair and a pair of dark-colored gloves, and she posed with platinum-blonde Garner, 29, eating what appeared to be french fries. Photos exclusively obtained by The Post also showed Madonna, Garner and friends enjoying wine, cocktails and hors d’oeuvres on leather couches in the lounge area. and enjoyed the hot spot’s 360 room, where guests eat in a virtual zeppelin that travels over NYC, through volcanoes, underwater and into outer space by way of “floor-to-ceiling and tabletop 360 projection mapping.” The group had the entire restaurant to themselves around 10 p.m. Madonna was spotted dining with “Ozark” actress Julia Garner - who was slated to play the musical icon in a now-shelved biopic - among others to celebrate photographer Steven Klein’s birthday at Journey in the Flatiron District. The eternal Queen of Pop took a bite out of the Big Apple Sunday night. Madonna finally releases controversial 2003 ‘American Life’ music video The Chicks have no regrets after being canceled over Bush remark: ‘Set us free’ Madonna’s daughter Lourdes Leon poses in sexy see-through catsuit Which zodiac sign will risk it all for love, according to an astrologer Go macro bar healthy8/7/2023 They are organic, and there are no artificial sweeteners or colors. Overall, GoMacro ingredients are clearly made to appeal to the conscious consumer. (Plus, it’s not even clear if organic food is better for the environment.) That said, in reality, organic food isn’t much healthier than conventional. Most conscious consumers would celebrate this. GoMacro bars don’t have artificial ingredients like Red 40 or sucralose. Free of artificial sweeteners and colors.These include walnuts, peanuts, almond butter, and sunflower butter. Most flavors of GoMacro bars have nuts, seeds, and their butters. And I saw another flavor has dates, which are one of the highest-sugar fruits. They also have puffed brown rice, which is high glycemic. In addition to the brown rice syrup, both of these bars have coconut sugar. More sugar and high-glycemic ingredients.I’ll discuss it more in the section on sugar below. Granted, it’s not as processed as something like high-fructose corn syrup… But personally, I don’t like this. The first ingredient is brown rice syrup-which is basically sugar.Here’s what I notice about these ingredients: Granola + Coconut GoMacro MacroBar Ingredients: Organic Brown Rice Syrup, Organic Gluten-Free Rolled Oats, Organic Unsweetened Coconut, Organic Walnuts, Organic Almond Butter, Organic Coconut Sugar, Organic Sunflower Seed Butter, Organic Puffed Brown Rice, Organic Protein Blend (Organic Sprouted Brown Rice Protein, Organic Pea Protein). Peanut Butter GoMacro MacroBar Ingredients: Organic Brown Rice Syrup, Organic Peanut Butter, Organic Sprouted Brown Rice Protein, Organic Peanut Butter Chips (Organic Peanut Flour, Organic Coconut Sugar, Organic Cocoa Butter, Salt), Organic Puffed Brown Rice, Organic Peanuts. Below you’ll find two flavors, but they are pretty similar. Let’s start by looking at some GoMacro bar ingredients. Click to skip to any section-or just keep reading below: Here are the 7 main questions I’ll be answering about GoMacro bars. I’ll also take a close look at the quality of the ingredients-and I’ll share a lower-sugar vegan protein bar I personally like more! Are GoMacro Bars Good for You? This makes GoMacro bars only moderately healthy, not completely.īelow, I’ll compare the sugar and protein content of GoMacro bars to competitors like Clif Bars and Kind Bars. However, most flavors also have over 10 grams of added sugar, plus other high-glycemic ingredients. GoMacro bars are made with healthy organic nuts and seeds, and most bars have 10 grams of protein or more. But it can take time to sort through which ones are actually healthy. Additionally, these bars are certified raw and clean, which means their short ingredient lists are crafted with care to keep the good stuff in and the bad stuff out.There are dozens of “healthy” protein bars, granola bars, and snack bars available nowadays. They are more textured than the regular macrobars, and you can see the nuts and seeds that make up each bar. The Thrive bars are a bit smaller than Go Macro's standard bars, and come in at 190 calories and about 7-8 grams of protein per serving. Non-GMO, gluten-free, organic, and vegan, these are sure to please kids of all ages, and are an easy, delicious solution to your afternoon snack dilemmas. Called Thrive, these have the same short ingredient lists and plant-protein content, but are infused with ancient seeds and superfoods. That's why I was super excited to see their new line of bars at my local Whole Foods Market. These aren't your typical bars that are candy disguised as health food- no, these have real substance. Usually I always have a Go Macro bar (or two) in my backpack at all times, and love them for their clean ingredients, reduced-sugar recipes, and high amounts of plant-based protein. As a student and intern, I know the importance of always having safe food on hand to avoid situations when I am stuck without a safe snack. Hypnos super king size mattress8/7/2023 Summons an additional Plaguebringer at 30% health.Plague Homing Missiles split into 5 Plague Stingers on death.Can spawn more Plague Chargers at once.Projectiles travel faster and shoots projectiles at a higher rate.The Plaguebringer Goliath moves faster and she enters her second phase at 70% health.They additionally inflict Irradiated for 10 minutes and Plague for 2 minutes.Plague Nukes travel fast, deal high contact damage, and have a colossal explosion radius (around 74x74 blocks).Can now dash above the player, raining down 12 Plague Nuke Missiles as she dashes.Retains all abilities from her first phase.The status message "PLAGUE NUKE BARRAGE ARMED, PREPARING FOR LAUNCH!!!" appears.At 50% health, The Plaguebringer Goliath enters her second phase.The Plague Mines will collectively drift upward or downward depending on the player’s position.Gains a new attack where she dashes horizontally at the player while releasing a row of 19 Plague Mines as she moves. Spawns additional Plague Mines when enraged.Plague Mines tend to spread apart, but their large explosion radius allows them to set off a chain of explosions. Spawns Plague Mines, which float slowly in random directions, and exploding when in contact with the player, set off by another Plague Mine, or killed.Defense increases greatly as health depletes.All her projectiles deal more damage as she loses health.Stinger projectiles now explode after travelling a certain distance.All of her stingers home in on the player.Below 50% health, she no longer summons Plague Chargers and instead spawns 27 Plague Homing Missiles that have their own individual health bars and can be killed.Spawns 4 Plague Chargers that vary in strength and size.A Plague Homing Missile will replace every fifth stinger shot.Flies close to the player, then moves vertically and fires 8 / 10 / 12 / 14 Plague Homing Missiles towards the player.Will set herself in a position diagonal to the player, then dash quickly at the player while releasing at total of 16 / 32 / 48 / 64 Plague Stingers at her sides.All of her projectiles additionally deal twice as much damage, and her DR goes up to 70%. If the player leads The Plaguebringer Goliath out of the Underground Jungle biome or summons her in her Mucormycotic state, she will enrage, tripling her movement speed, quadrupling her projectile velocity and firing dozens of Plague Nukes at the player. The Plaguebringer Goliath behaves quickly and erratically, using a large and deadly variety of plague-based attacks. If the lab happens to spawn in a Glowing Mushroom biome, The Plaguebringer Goliath will take on a new Glowing Mushroom-themed "Mucormycotic" appearance which makes her harder and allows her to drop the Psy Rod. The Plaguebringer Goliath can only be spawned by interacting with a Plagued 'Bed' in the Jungle Bio-center Lab with the Abombination. She must be summoned in the Underground Jungle. The Plaguebringer Goliath can be summoned manually with the Abombination. Weight Watchers Tater Tot Casserole (Only 3 SmartPoints Freestyle). Word to the wise: Be sure to make enough to go around-and then some. BEST Homemade Sloppy Joe Mix Recipe - 5 Dinners. Each and every one will get your guests " ooh"-ing and " aah"-ing from the first to the last bite. What's more, if you happen to be hosting guests anytime soon and are looking for a fabulous brunch recipe, there's really no better (or tastier) conversation starter than one of these casserole recipes. Big fan of cheese? You're in the right place! Cook these ingredients over medium high heat. Step 2 Cook Ground Beef Mixture Brown the ground beef with the red bell pepper and onion in a large skillet. Add the sauce to the ground beef pour the sauce. Make the sloppy joe sauce in a large bowl, whisk together the ketchup, honey, mustard, balsamic vinegar, garlic powder, onion powder, and paprika until fully combined. Love bacon and sausage? We've got you covered there as well. Spray a 9X13 baking pan with a non-stick cooking spray. Cook for 15-20 minutes, breaking up the ground beef as it cooks, until it is fully browned. Plus, not only do tater tot casseroles incorporate everyone's favorite freezer-friendly potato staple into a decadent breakfast casserole, but they can also be customized with add-ons and substitutions to fit the needs of your family. Think hash browns, but with a surprising, out-of-the-ordinary twist. Remove the skillet from the burner.If you've never heard of tater tot casseroles, get ready to have your taste buds rocked! Most Midwesterners are already aware of these mouthwatering dishes, but if you're unfamiliar, all you have to know about these quirky, potato-based dishes is that they are just as delicious and hearty as their name makes them sound. Bake, uncovered, 40-50 minutes, or until bubbling. Layer half the macaroni and half the meat sauce repeat. Add the ground beef mixture into a 9×13 baking dish. Add the garlic, mustard, tomato sauce, ketchup, brown sugar, salt, black pepper to the pan and cook for 3-5 minutes until slightly thickened. Sloppy Joe Tater Tot Casserole: Made with sloppy joe beef topped with crispy tater tots and melted cheddar cheese, its a quick and easy family recipe everyone. Put a small amount of sauce on the bottom of the dish. Cook vegetables with the beef until onions and green bell peppers are translucent, about 6-8 minutes. Spray a 2 1/2 qt casserole w/non-fat cooking spray. Stir everything together and then spread into an even layer. Stir in seasoning mix,tomato paste, tomato sauce, cottage cheese and one cup water. Add the tomato sauce, ketchup, tomato paste, yellow mustard, Worcestershire sauce, Chili powder, salt, sugar, dried oregano, and pepper to the skillet. Pour meat mixture into your dish, top with cheese. Add your sauce to your meat and simmer on low for 5 minutes, stirring well. Be sure to break up the meat as it cooks. Preheat oven to 350F, spray a 9 inch square dish. STEP ONE: Brown the ground beef with the onions and bell peppers over medium-high heat in an oven-safe skillet until the beef is fully cooked. Slow Cooker Crock Pot Sloppy Joe Tater Tot Casserole-Make a hearty dinner, but use your crockpot to make sloppy joe tater tot casserole. To prep, preheat your oven to 400 degrees F while you get the sloppy joe filling going. Four ounces of cream cheese will make the meat mixture creamy and rich. Just be sure to cover the filling completely with tots. Cheesy Tater Tot & Ground Beef Casserole 21 Super Quick & Easy. I’ve gotten the 28-ounce bags before too and this recipe has worked out fine. Ive rounded up a list of simple recipes that are fast to make on busy. Tater Tots: I usually buy a 32-ounce bag of tots so I know there will be more than enough. Most of these ingredients are pantry staples, so it’s an easy last-minute weeknight meal! Sloppy Joe Sauce: The sauce for this casserole is a little more savory than a typical sloppy joe – which I find to be fairly sweet. I create all my own delicious recipes for everyone to enjoy. It’s a great way to get the family to eat some veggies with dinner. Sloppy Joe: The filling for this casserole is nice and hearty with lean ground beef, onion, and bell pepper. Gapped pussy8/6/2023 No other sex tube is more popular and features more Extreme Pussy Gape scenes than Pornhub Browse through our impressive selection of porn videos in HD quality on any device you own. Discover the growing collection of high quality Most Relevant XXX movies and clips. Photo 3 girl shows off pussy and ass hole up skirt Amateur Nude Art. Click here now to view hot FREE pussy gape porn pics like you've never seen before. Carefully sorted free Huge Anal Gape xxx videos are available alongside high-quality Gapped Pussy movies. Pussy Shot Short Shorts ladies upskirt naked pictures and pussy. 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You cannot reach the key part without this ability. You must have the chicken hover ability to reach it. Stay in the blue light to avoid the lava. Below this chicken passage, there is a green river where the part is located. You must enter the Temple from the southern-most entrance, which is located in Los Manglares. The second part of the key is located in Templo de Jade. After you defeat the boss Cactuardo, you will receive your first key. The first key part is very easy to find as it is story related. Check below for all the key part locations. We highly recommend that you start collecting these parts only when you have completed the game once and have all the health, stamina upgrades and most of the skills purchased. To get the good ending, you will be required to complete all these challenges so that you can reach the Holy Hen. Collecting these five parts will let you create a key, which is used to unlock a special door, which contains some really hard challenges for you. All Key Parts Location Guide – Guacamelee! 2īelow we have detailed the locations of all five key parts in our Guacamelee! 2 – All Key Parts Location Guide that are required for the good ending. We also recommend that you complete the game first before you try to find these key parts as they require some advanced skills that you will not have at the start. It is saved right before the final boss fight so you can simply get the bad ending and then try for the good ending without any worries. The game does not force you to play the whole game again if you unlock the bad ending and then later want to try for the good ending. Lucky for you, our Guacamelee! 2 – All Key Parts Location Guide will guide you on finding all keys which are required to unlock the good ending. If you simply play the game normally without completing the requirements for the good ending then you will automatically unlock the bad ending. If you want to experience the good ending then you will be required to do some homework before you actually achieve it. Guacamelee! 2 comes with two different endings with one bad and the other one good. Chromium macos lion8/6/2023 The interface is also better than it has ever been, with the Chromium base of the browser inspiring a Chrome-like clean look that’s excellent for organization and intuitive to understand. Microsoft Edge’s revamp appears to be a strong success, as the browser is officially more popular than Firefox among worldwide users. The downside is that you’ll have to spend time learning it all if you’re new, and its add-ons aren’t quite as easy to navigate as something like Chrome’s extensions. Even native features like picture-in-picture support or Pocket app integration make Firefox incredibly useful. If you want to build the web browser out as a workplace hub, you can download whatever add-ons you need to support work apps, content checking, analysis, and much more. If you’re worried about privacy, you can use the Enhanced Tracking Protection to block or review whatever you want. Where Firefox really shines is its personalization options. While Firefox is in excellent shape these days and makes an efficient alternative if you want to switch, it did perform notably worse on our Jetstream 2 tests with a score of 74, so it’s not the best option if speed is your primary concern. This can also introduce some security concerns, but in recent years Mozilla has proven adept at frequent updates, fixes, and optimization (including privacy restrictions that keep providers from selling your data). Firefoxįirefox is one of the few mainstream browsers with an open-source origin, giving it a broad portfolio of add-ons for users to play with and customize as they see fit. It’s also very friendly with Chromecast devices and, of course, Chromebooks if you use Google’s system elsewhere. It’s not entirely perfect - sometimes bugs can creep in, and it can be greedy for RAM - but it is frequently updated and offers strong customization options. While not quite as speedy as Safari, our Jetstream 2 tests gave it a score of 130, which still is very respectable.Ĭhrome also excels at multitasking, and it’s one of the friendliest browsers for managing multiple windows and long strings of tabs in intuitive ways, so it remains a strong choice for those who need a lot of organization. The web browser also can aid you in translating webpages, double-check your security, and has robust settings that allow you to toggle nearly everything on or off as you desire. Google’s Chrome has made a name for itself with its minimalistic interface and rich collection of extensions for adding tools or apps directly to the web browser - nearly 190,000 of them in total. All in all, Safari offers excellent performance, is available on your Mac right out of the box, and has a growing number of extensions that allow you to expand its capabilities. Integration with iCloud also allows you to use Safari’s password-management services if you prefer to avoid third-party apps. At a moment’s notice, you can search for a title on the App Store or hand off your web browser session to another device like your iPad or MacBook. It’s also speedy, with the 2021 Jetstream 2 browser benchmark giving it a score of 136, higher than other popular browsers like Chrome and Firefox.įor Apple fans, Safari also offers amazing integration. Add Apple’s famously locked-down system, and you have a browser that’s secure and reliable (HTTPS certificates for sites on Safari must be renewed every year, for example). It has cross-site tracking and some built-in ad targeting prevention for privacy. The result is a web browser that’s usually the best option for getting things done on MacOS. Apple has done an incredible job of optimizing Safari for today’s internet needs and Mac machines. AuthorWrite something about yourself. No need to be fancy, just an overview. ArchivesCategories |