It’s really hard to ignore her sexy legs. Ariana Grande Cute Sexy Cat Ariana Grande Cute Sexy Cat And the perfect jawline makes it even a treat to watch her. Why does she look so cute every time? The cute dimple on her cheek makes her more beautiful. Ariana Grande Hottest Blue Beauty Ariana Grande Hottest Blue Beauty Her fashion sense is appreciated and followed all over the world and no wonder why it is so. Here is another sexy photo of Ariana Grande during a live performance. Ariana Grande Sexy Long Hair Ariana Grande Sexy Long Hair It is not hard to get confused whether to see her or listen to her. Ariana Grande Sexy White Doll Ariana Grande Sexy White DollĪriana Grande always steals the hearts of her audience by her looks on every live performance. Because she is so fucking stunning and a great singer as well. We are sure her audiences often get confused about whether to look at her or listen to her. Here is another photo of Ariana during a live show. Ariana Grande Hot Ash Costume Ariana Grande Hot Ash Costume The hotness of her figure is enough to burn so many hearts. Ariana Grande Hot Live Performance Ariana Grande Hot Live PerformanceĪriana Grande looks so attractive here that we cannot help looking at her. #Here are the sexiest photos of Ariana Grande in 2023 01. The reason is Ariana’s heart-taking beauty and sexiness. There are millions of fans of Ariana all over the world. She has received one Brit Award, two Grammy Awards, one Bambi Award, three American Music Awards, two Billboard Music Awards, nine MTV Video Music Awards, and 27 Guinness World Records.Īriana Grande has been included in the Forbes Celebrity 100 in 2019 & 2020, Time’s annual list of the most influential people in the world in 2016 & 2019 and she was named the Woman of the Year in 2018.Īriana Grande is not only a successful singer and actress. She has received numerous awards throughout her career. Nowadays her personal life is the subject of widespread media attention. Her four-octave vocal range has received praiseworthy critical acclaim. She was born on June 26,1993 in Boca Raton, Florida, United States. If you are interested to see 2023’s Ariana Grande sexy pics with bikinis, tight cloaths, and hottest body figure then this article is yours.Īriana Grande is an American singer, songwriter and actress.
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Hang your frankfurters into your smoker / smoking chamber to dry for about 1 hour. You can decide for yourself how big you want your wieners to be.ġ1. Make sure that not much air gets into the casings.ġ0. The meat should not be warmer than 12 C° (53,6 ☏), otherwise your mass will lose its binding and the sausage will crumble later on.ĩ. Mix until it forms a nice cohesive mass.Ĩ. The crushed ice is used to make your mixture nice and creamy. Mix the meat and add some crushed ice from time to time. Add the salt, cure, spices and cutter phosphate to the mixture.ħ. Put the meat mixture into a sausage cutter or your food processor. Let the meat through the meat grinder twice.The next steps will be easier this way.Ħ. Grind the meat through the finest perforated disc (2mm). Grind your spices (except for the cutter phosphate) to a fine powder.Ĥ. This will help later on with the grinding process and the temperature.ģ. Put the meat in the freezer for 1-2 hours. The bigger the grinder, the bigger your pieces of meat can be.Ģ. The size varies depending on how big your meat grinder is. Making Frankfurter – Step-By-Step Instructionsġ. To fill your sausage you need a natural sheep casing caliber 20/22. For the beginning you can also use a filling attachment for your meat grinder. You need this to get your meat mass into the casing. Sausage stuffer / attachment for the meat grinder The frankfurter must be smoked before they are cooked. If you have a Thermomix, you can also use it for this process. In a food processor, the minced meat and ingredients are mixed into a very fine mass. The meat is chopped into small chunks with it. You need a meat grinder to “grind” the meat. In addition, you will need 15 – 20 % crushed ice or ice water as for the chopping process later on. 3 g Cutter Phosphate (e.g BRIFISOL 414, PhosThis!, Ames Phos).Variant 1: This is how they were made traditionally Making your own Frankfurter – What do you need? Ingredients for your Frankfurter Making Frankfurter – Step-By-Step Instructions.Making your own Frankfurter – What do you need?.The latter contains a portion of veal or beef in addition to the pork.Įnough talking, you can find the complete frankfurter recipe either as video or in written format. Since you might want to recreate vienna sausages you’re more used to, I’ve added a pork and “frankfurter” variant. For cost reasons, that’s not happening in almost any industrially made frankfurters these days. I use an old recipe where the main ingredient is beef. But as I said, you can also make them without it. In the recipe I added the cure to get the classic pink color. You can tell because the Frankfurters don’t have the typical pink hue. Alternatively, you can also just scald them, which leads to the fact that you have no smoke flavor on the Wiener sausages.įor this recipe, I tested to produce them without cure #1. for example they are called frankfurters.įor the preparation you need a smoker. They are known all over the world and have various names. In this article I will show you how you can make Wiener Würstchen (vienna sausages) at home. Homemade Frankfurter / Vienna Sausages – A Delicious German Classic The seasonings envelop the pork in a smoky, earthy, robust, crust with just the right kick of heat that creates a caramelized seasoned crust once grilled.Īnd then there’s the homemade barbecue sauce. The dynamic spice rub is made with smoked paprika, chili powder, garlic powder, onion powder, chipotle pepper, salt and pepper. What sets this Grilled Pork Chops recipe apart from the rest is the homemade spice rub and homemade barbecue sauce. I’ve scaled down both the rub and barbecue sauce from my other recipes (like BBQ Ribs!) because you don’t mess with perfection, and I added a brine for optimal tenderness. Grilled pork chops are also typically less expensive than other proteins, so you can enjoy them any night of the week. They’re gourmet enough for special occasions such as Mother’s Day, Father’s Day, Memorial Day, 4 th of July, etc. Perfect for every occasion: this Grilled Pork Chops recipe is the answer for an easy, tasty dinner all spring and summer long.This recipe allows you just that – you can even grill the pork chops next to your loved ones while you chat it up. Minimal cleanup: summer is all about spending time outdoors with family and friends – and not in the kitchen.Easy to double: this recipe can easily be doubled or tripled by using the up arrow in the recipe card next to the servings.Nutritious: they are packed with nutrients and protein your family needs!.Prep ahead: brine and season the pork chops up to 48 hours in advance then grill when ready.With my step-by-step instructions and a meat thermometer, your grilled BBQ pork chops will emerge second to none! It’s about following simple instructions such as picking the right cut of pork, generously seasoning and not overcooking. Foolproof: grilling pork chops isn’t complicated at all.Easy: brine the pork, rub the pork, cook the pork, slather on the barbecue sauce – couldn’t be any easier or more delicious!. Visit for more pork cooking ideas and inspiration! reasons to love this grilled pork chops recipe: I guarantee they will become a dinner time staple for all your busy days. These Grilled Pork Chops are melt-in-your-mouth tender, juicy with complex sweet, savory, smoky, spicy notes with a saucy, caramelized finish. Pork chops are also budget friendly and can emerge as flavorful and as juicy as a anything when done right-and this recipe is done right. Have you grilled pork chops before? They are FABULOUS, easy and simple for grilling any day of the week and a delicious way to mix up the usual routine. PIN THIS RECIPE TO SAVE FOR LATER GRILLED PORK CHOPS RECIPE Pork is always a favorite at our house! If you love pork, you’ll love my INSANELY popular garlic butter herb pork tenderloin, grilled pork tenderloin, carnitas, tacos al pastor and brown sugar pork chops. Add a side of baked beans, potato salad, watermelon and grilled corn and your quintessential summer meal is served! To make, the pork chops are brined 20 minutes for maximum juiciness, enveloped in an insanely delicious homemade rub that’s slightly sweet, slightly savory, with just the right punch of sassy chipotle heat, grilled to perfection then brushed with your favorite barbecue sauce – or my outrageously delicious homemade barbecue sauce. This recipe for Grilled Pork Chops, which happens to be one of the easiest proteins to cook, can be made with just a few ingredients in less than an hour (most of which is hands off time) so they’re perfect for busy weeknights but fabulous enough for entertaining. This How to Grill Pork Chops post will equip you with everything you need to know to make the best grilled pork chops of your life! They are succulent, juicy, dripping with flavor, and a winner with kids and adults alike. GRILLED PORK CHOPS SPICE RUBBED AND SLATHERED IN BARBECUE SAUCE ARE JUICY, FLAVORFUL AND SO EASY TO MAKE! The resting time will also allow the juices to redistribute through the meat, which makes for a very juicy chop.This Grilled Pork post is sponsored by the National Pork Board, but all opinions are my own. During the resting time, the juices and heat will distribute evenly, bringing the final temperature up to 145 F (65 C), which is a safe temperature for pork.
"Gaillard Cemetery," Mississippi Cemetery and Bible Records, 1965: 149 "Foster Cemetery," Mississippi Cemetery and Bible Records, 1958: 178 "First Session Book of the Oldest Presbyterian Church in Mississippi," Journal of Mississippi History, April 1948: 132-49 "First Book of Burials of Natchez," Genealogical Register, June 1964: 20-21 "English and American Oats of Fidelity at Spanish Natchez, 1787," Louisiana Genealogical Register, September 1991: 258-60 "Emancipation Documents, 1822-29," Journal of Mississippi History, January 1941: 44-45 "Elizabeth Female Academy," Publications of the Mississippi Historical Society, v. Includes tobacco planters, 1789, and American arrivals, 1788-90Įaton, Henry Blackburn. "Early Natchez Records," Mississippi Genealogical Exchange, June 1959: 39-43 "Dunbarton Plantation Cemetery," Mississippi Cemetery and Bible Records, 1958: 176-77 "Dividends Paid by the Bank of Mississippi, 1825-1831," Mississippi Genealogical Exchange, Summer 1983: 76 "Debtors, 1791," Louisiana Genealogical Register, June 1992: 118ĭe Ville, Winston. "Court of the General Tax Session of the Peace Justices," Family Trails, May 1984: 28-30 "Cotton Gin for Natchez, 1795," Louisiana Genealogical Register, December 1993: 314-15 "Concordia Ferry," Louisiana Genealogical Register, September 1974: 201-07 (1972)Ĭity of Natchez Records: Financial, Legal and Otherwise, 1847-1888. History of the First Presbyterian Church of Natchez, Mississippi. "Britain Loses Natchez, 1779: an Unpublished Letter," Journal of Mississippi History, January 1964: 45-46Ĭasey, Albert Eugene. Early Will Records of Adams County, Mississippi. "American Arrivals at Natchez, 1788," Mississippi Genealogical Exchange, Summer 1984: 66Īndrews, Johnnie. Farrar's Deed to Kingston Church, 1874," Journal of Mississippi History, April 1956: 135-41 "1860 Mortality Schedule," Mississippi Genealogy and Local History, June 1979: 65 Begin in the same way as in the Double Loop method. No knotting or tying off is necessary on the ends simply be sure the last stitch is tight, and it should hold the whole length of stitches in. A box styled gimp can be as long or as short as you wish. You'll want to have about three inches at the end for attaching as a bracelet or to tie to an object. Make two loops of one color, straight across the stitch you just made. Use this stitch to make additional stitches, adding to the length of your bracelet or lanyard. An easy way is to hold the center of the stitch and pull one strand at a time. Try to pull each stitch to a consistent tightness so that they will come out even. Make a gentle, slow pull to avoid twisting. If using a flat material, avoid twisting the strands as you loop them over and pull them through.Weave the other strand, repeating the stitch with the second color. Weave the second color over and under the two loops. Do the same to the other side of the strand. Take the other piece and weave it above the first one. Twist it around the other strand twice, making two loops over the straight piece. Make sure you use a flat surface to start, after you started it, don't use a flat surface- pick up the strands to work with them.The lacing isn't very expensive, and it's much easier to trim a bit at the end than to add more later. When cutting the material, cut an equal length.Place one on top of the other to make a cross. Cut two pieces of gimp from two different colors.You can do this with two strands of one color, but it's easiest to keep track of what you're doing with two colors, especially if you're just starting. Obtain two colors of gimp lacing from a craft store. So let’s start with the meaning of carpe diem, ad hoc, status quo, et cetera.īut first, a quick remark. You know what they say - you can’t fully enjoy the main course without a proper aperitif. You’ll impress everyone with your exquisite choice of words.Ĭarpe diem and other common Latin phrases and wordsīefore diving into the really cool Latin words and phrases, we have to make a quick stop in the ‘most common Latin phrases’ station. confidently at the end of your conclusion. To show off how you logically proved something, use Q.E.D. or quod erat demonstrandum (’what was to be demonstrated’) – which, by the way, is the mic drop of Latin phrases. You know me: semper fidelis to the vanilla.Īs you probably already guessed, semper fidelis means ’always faithful’ or ‘always loyal’. Do you want the chocolate ice cream or the vanilla ice cream? Didn’t you notice how inserting some Latin words here and there automatically makes someone look smarter? Even the dullest conversation can become an erudite discussion if you use the right Latin sayings. But one thing is sure: Latin phrases are nowadays the cooler siblings of slang words. It’s unclear whether Latin made a comeback or it has been this cool for hundreds of years. Carpe diem, et cetera, cum laude, curriculum vitae and mea culpa are just a few of the Latin phrases still widely used today. Historically, Cornelia is often stated to have died in childbirth, but this is not confirmed.Far from being a dead language, Latin is very much alive in our day-to-day conversations. He then gave an oration in honour of Cornelia, which was extraordinary in the case of a young woman, although it later became commonplace. Caesar was due to depart for Spain, and had already pronounced the funeral oration of his aunt, Julia, from the rostra, as was customary for elderly Roman matrons. Death Īfter about thirteen years of marriage, Cornelia died early in her husband's quaestorship, which occurred in BC 69 or 68. Eventually Sulla relented, following the intercession of Caesar's numerous friends and kinsmen, and Caesar returned home to Cornelia. He was proscribed, and escaped Rome in disguise, evading capture by regularly changing his place of concealment, and on at least one occasion by bribing the commander of a patrol sent to search for Sulla's enemies. However, neither the deprivation of his priesthood, Cornelia's dowry, and his own inheritance, nor the threat of violence, would induce Caesar to forsake his wife. Sulla regarded Caesar as a potential rival, and commanded him to divorce Cornelia. Marius and Cinna had appointed the young Caesar to an important priesthood, and by marrying Cinna's daughter, Caesar gained control of a substantial dowry. Although he had taken no part in the government of Marius and Cinna, and done nothing to oppose Sulla's return, Caesar's aunt, Julia, was the wife of Marius his cousin was the younger Marius, who as consul in 82 was defeated by Sulla, and had taken his own life as the city fell. The young Caesar was one of those to whom Sulla turned his attention after returning to Rome. Their daughter, Julia, was Caesar's only legitimate child, and the only one he acknowledged. Thus, he probably married Cornelia in 83, when he was about seventeen years old, and she perhaps a little younger. In Suetonius' chronology, Caesar was born in 100 BC, placing the death of his father in 85 or 84. Suetonius reports that Caesar and Cornelia were married in the consulate occurring after Caesar lost his father, which occurred in his sixteenth year. Since there were a great many Corneliae at Rome, Caesar's wife is occasionally referred to as Cornelia Cinnae, or "Cinna's Cornelia". The designations Major and Minor were not really part of their names, but were used to distinguish between sisters, who bore the same nomen. īy his wife, Annia, Cinna had a son, Lucius, and two daughters, conventionally known as Cornelia Major, who married Gnaeus Domitius Ahenobarbus, and Cornelia Minor, the wife of Caesar. During this period, he espoused the side of Marius, leaving his family exposed to Sulla's wrath on the latter's return in 82. He held the consulship for a term of four consecutive years, from BC 87 to 84, when he was slain in a soldiers' mutiny. Biography Early life Ĭornelia was the daughter of Lucius Cornelius Cinna, one of the most influential politicians at Rome during the conflict between the generals Gaius Marius and Lucius Cornelius Sulla. A daughter of Lucius Cornelius Cinna, Cornelia was related by birth or marriage to many of the most influential figures of the late Republic. 69 BC) was the first or second wife of Julius Caesar, and the mother of his only legitimate child, Julia. followed by the services at 11 with Deacon Richard Owen officiating.īurial will be in Shreiner's Cemetery in Selinsgrove. High St., Selinsgrove, and on Friday, Dec. David Ray Pearce Sr., 76, of Sunbury, wrapped in the love of his family, slipped away April 25, 2023, of septic shock at Lankenau Hospital in Wynnewood, Pa. Kim was proceeded in death by his daughter Angela M (Kratzer) Herman granddaughter Raylee Lou Herman niece, Stacey Lynn Connelly nephew, Michael Beaver and two sisters, Becky Beaver and Penny Wright.Ī viewing will be held Thursday, Dec. In addition to his wife of 51 years, Kim is survived by a daughter and son-in-law Heidi (Kratzer) and Paul John two sons Seth Kratzer (Autumn Geiswite) and Zachery Kratzer three grandchildren, Tyler Kratzer Gemberling, Gaven Kratzer and Makenna Kratzer one sister and brother-in-law Shirley and Larry Weaver one brother-in-law John Pekarski (Marion Spigelmeyer) two sisters-in-law Sandra Pekarski, Julie Pekarski (Don Skinner) his nieces and nephews, Tana (Weaver) Heffner, Chris Weaver, Jennifer Beaver, Heather (Beaver) Fogarty, Christopher Beaver, Corey Pekarski and Casey Pekarski. Whether in the stands or by the fence he was always there watching and cheering us on, and always will be. He was always there for a word of encouragement or a quiet ear to listen to their struggles. Search Obituaries in The Daily Item - a space for sharing memories: search for life stories, milestones, guestbook entries, and celebrate life of your loved ones. Kim's greatest joy was watching his children and grandchildren succeed in life and in sports. He made many good friends and looked forward to working with the football and softball crews he was on. Kim followed his passion and love of sports and continued on to become a PIAA official. He would also find himself coaching several of his sons sports teams throughout the year, volunteering his time and years of experience to the young players. He participated throughout his school years as well as later in life on several of the local slow pitch softball teams, Nilus, Airport Restaurant, KFC, and Kratzerville Fire Company to name a few. Kim was involved in sports his entire life. He also looked forward to his yearly fishing trip to Canada with his son and nephew. Kim enjoyed being in the outdoors and was an avid hunter and gardener. He was a PIAA official, officiating both football and softball games. Kim was a member of the Selinsgrove Athletic Council and active in the youth athletic programs. He was a 1970 graduate of Selinsgrove Area High School and a 40-year employee of Wood-Mode Inc. Kim married the former Nancy A Pekarski, who survives, on May 22, 1971. Ann was a graduate of Shikellamy High School and Central Penn Business School. Scullin and Sarah 'Sally' (Kerwin) Scullin. 27, 1957, in Sunbury, a daughter of the late Robert B. Kim was born May 3, 1952, in Sunbury, Pa., to the late Gardie R. Moyer, of 2 Tee St., Selinsgrove, passed away peacefully Wednesday, March 8, 2023. Kratzer of 1980 Route 204, Selinsgrove, announce his passing on Nov. Contributions in Floyd's memory may be made to the Mountain Presbyterian Church, 2478 Boyles Run Road, Sunbury.It is with great sadness that the family of Kim R. The family would like to extend special thanks to neighbors Ron and Deana Gay, the nurses of Compassus Hospice of Bloomsburg, and caregivers, Jackie Marks, Candy Lloyd and Candy Willard.Ī private service will be held at the convenience of the family. Floyd was predeceased by his parents, a half-brother, a stepsister, Irene Stark, and his in-laws, Russell and Amy Klock. Survivors include his two sons, Michael of Sunbury and Stephen and his wife, Kimberly, of Selinsgrove two grandchildren, Nathan and his wife, Dorothyann of Sunbury and Megan of Selinsgrove and one great-grandchild a brother, Cloyd Campbell a half-sister, Celeste Campbell a stepbrother, Darvin Renn one brother-in-law, Larry Klock, and many nieces and nephews. Other favorite pastimes were hunting, fishing and spending time at the cabin. Floyd enjoyed spending time with his grandchildren and attended their sporting events faithfully. 24, 1965, who preceded him in death on Sept. He married the former Susan Klock on Dec. In his earlier years, he was also employed at Groce's Silk Mill and Building Supplies in Selinsgrove, Creative Playthings in Herndon and Weis Markets.įloyd was a member of the Mountain Presbyterian Church. Most of his working years were spent doing maintenance at Mohawk Flush Door Company in Northumberland. He enjoyed growing up and working on his family farm on Cherry Street and was a constant companion of the Dunkelberger, Walz and Renn families. 10, 1945, the son of Lloyd Scott and Myrtle Agnes (Wolfe) Campbell.įloyd was a student at the Lawrence One-Room School, Oaklyn Elementary School and attended Sunbury Junior and Senior High Schools. Campbell, of Sunbury, passed away at home on Thursday, Feb. They won’t be alone, however, if they can find a way to activate a new robotic companion, Klaus, who will help them defeat the undead.Īll of that, plus a new Wonder Weapon with four unique variants, fast-travel ziplines, terrifying new enemies, new quests to discover, and more secrets and surprises are coming in this massive new round-based map. Set after the events of “Operation Excision” in Outbreak, “Mauer Der Toten” is Treyarch’s next classic round-based Zombies experience where Requiem agents, currently working for Omega Group’s Colonel Kravchenko in a bid for their freedom, will explore war-torn Berlin after a zombie invasion has overtaken the city.Īgents will navigate through the dark streets, lit only by spotlights, street lamps, and long-abandoned vehicles, to reach various key landmarks and structures, including a U-Bahn where flaming trains carry undead passengers to parts unknown. And in war-torn Berlin, he has one final job for Requiem’s “finest” before he ends his rivals once and for all. His name? Colonel Lev Kravchenko, leader of the Omega Group. This elaborate operation seemed to all be a set-up orchestrated by Omega – in the ensuing emergency exfiltration, a rocket downed Raptor-1’s helicopter, with the man personally responsible for this trap walking through the wreckage to capture the agents with his own cold-blooded hands. It all culminated around midnight in a previously unexplored area beyond the Phase Wall in the Ural Mountains, where the strike team arrived only to find most of the scientists brutalized with the words “NO ONE WALKS AWAY FROM OMEGA” scrawled in blood above their corpses. After thwarting Omega’s plans for “Operatsiya Inversiya,” Requiem’s elite strike team was set to extract the group’s defecting scientists in Operation Excision… until a familiar foe uncovered their plan and installed a mole among them. Even those close to you… I doubt you’ve realized what she has done.” – Colonel Lev KravchenkoĪs satellites are downed around the world due to Perseus’ actions, another war is just beginning in the Zombies Dark Aether story.įollowing her release from Omega Group’s clutches in “Firebase Z,” Samantha Maxis aided Requiem in investigating the world’s largest Outbreak Zone to date across the Ural Mountains. Cancellations and refunds are unavailable except where required by law.“Everything and everyone can be corrupted. Call of Duty: Black Ops III game required to use this content, sold separately. Pricing and release dates may vary by platform. ACTIVISION, CALL OF DUTY, CALL OF DUTY BLACK OPS, and stylized roman numerals II and III are trademarks of Activision Publishing, Inc. Call of Duty®: Black Ops II Map: Origins.4 Call of Duty®: Black Ops Maps: Kino Der Toten, Ascension, Shangri-la, and Moon.3 Call of Duty®: World at War Maps: Nacht der Untoten, Verruckt, and Shi No Numa.Complete maps from the original saga in fully remastered HD playable in Call of Duty®: Black Ops III.īonus Content: Purchase Zombies Chronicles and get: Includes 8 remastered classic Zombies maps from Call of Duty®: World at War, Call of Duty®: Black Ops and Call of Duty®: Black Ops II. Many of Sony Wonder's other releases had a special animated "Sesame Street Home Video" sequence, which features Big Bird, Elmo, Snuffy, Cookie Monster, Ernie and Zoe building the words "Home Video" under the Sesame Street sign. Sony Wonder released a handful of new Sesame Street videos with the My Sesame Street Home Video and Sesame Songs opening logo sequences, but these logos didn't appear on the video packaging. While quite a few video releases from Random House had detailed backgrounds, until 2004 nearly all of Sony Wonder's releases had plain-colored backgrounds. With some rereleases ( Learning About Letters, Learning About Numbers, etc) the main packaging changes were the lack of a border and different background, while other rereleases ( Getting Ready to Read, Play-Along Games and Songs, etc.) had much more significant cover changes. Sesame Street: 25 Wonderful Years was the only video re-released by Sony Wonder to not have any major packaging changes. Unlike Random House (with the exception of the Sesame Songs videos), most Sony Wonder video releases had song listings on the back covers. Unlike the Random House releases, Sony Wonder's releases didn't have a border on the cover, and the back covers featured an image on the back. In 1995, Sony Wonder took over distribution of Sesame Street videos, rereleasing many past video releases in addition to releasing new-to-video releases. Sesame Street Celebrates Around the World 1994 Sony Wonder These two videos were Sesame Street Home Video Visits the Hospital and Sesame Street Home Video Visits the Firehouse. Also, during that year, Random House released its first two direct-to-video Sesame Street productions to not have segments from the show. The videos came with song lyric posters, and while past video series featured a listing of other videos in those collections on the back covers, this series didn't list other Sesame Songs releases, instead using the space to list the songs that appear on the videos. All of these releases were themed around song sketches. In 1990, Random House started releasing another video series, Sesame Songs Home Video. Also, in this video series, words appeared on-screen as Big Bird narrated. Also, while Caroll Spinney, Frank Oz, and Fran Brill provided voices to the Golden Video releases, only Caroll Spinney provided voices to this video series, narrating the videos as Big Bird, and also providing voices of all other characters. These were similar to the Golden Video releases, being that they featured still images from various storybooks, but unlike those videos, the Start-To-Read videos did not include any animation. Around this time Random House also released another series of videos, Sesame Street Start-to-Read Video. In 1987, Random House started releasing Sesame Street television specials on video, with the first specials released on video being Big Bird in China, Don't Eat the Pictures, and Christmas Eve on Sesame Street. These videos also originally came with special activity booklets. The first collection of Sesame Street videos from Random House was My Sesame Street Home Video, which were approximately 30 minutes long (as opposed to an hour, like the average Sesame Street episode). Most collections of videos featured a number in the "proof of purchase" box on the side panels. The back covers didn't include any pictures, just a summary and usually a listing of other Sesame Street videos available on Random House Home Video. The packaging for these usually featured an image in a border on the cover. In 1986, Random House Home Video started releasing Sesame Street videos. A boundary value problem defines the values of the function or its derivatives on the endpoints of a specified interval. Initial Value Problem and Boundary Value Problem: - An initial value problem specifies the initial values for the function and its derivatives at a certain point. Homogeneous and Non-homogeneous Equations: - If the function \(f(x)\) is equal to zero, the equation is called a homogeneous second-order differential equation: \ - If the function \(f(x)\) is not equal to zero, it is a non-homogeneous second-order differential equation: \ 3. A non-linear equation, meanwhile, has a non-linear dependence on the function and its derivatives. Linear and Non-linear Equations: - A second-order equation is linear if it has a linear dependence on the function and its derivatives. The major types of second-order differential equations include: 1. Types of Second-order Differential EquationsSecond-order differential equations can be divided into several types, depending on the form of the equation and the characteristics of the function involved. The degree of a differential equation is the power of the highest-order derivative in the equation, provided the equation is polynomial in the derivatives. The order of a differential equation is the highest derivative that appears in the equation. For instance, a general second-order differential equation can be written as: \ In this equation: - \(y''(x)\) represents the second derivative of the function \(y(x)\) with respect to \(x\) - \(y'(x)\) represents the first derivative of the function \(y(x)\) with respect to \(x\) - \(a\), \(b\), and \(c\) are constants where \(a\) is ≠ 0 - \(f(x)\) is a function of the independent variable, \(x\) Components of a Second-order Differential EquationA second-order differential equation refers to an equation that includes the second derivative of an unknown function with respect to an independent variable. These equations provide insight into complex systems such as physical and engineering processes, modeling biological phenomena, and many other real-world situations. A second-order differential equation is an equation involving a function and its second derivative. Understanding Second-order Differential EquationsIn Further Mathematics, understanding second-order differential equations is integral to various mathematical and practical applications. Enhance your expertise in further mathematics, armed with knowledge of second-order differential equations and their applications. To solidify your understanding, you will also discover practical applications, solved examples, and invaluable tips for tackling second-order differential equations in exams. Additionally, delve into advanced topics such as second-order linear differential equations, Euler's equation and nonhomogeneous equations. You will grasp the techniques for solving second-order differential equations, including general solutions and equations with constant and variable coefficients. In this comprehensive article, you will explore the importance of second-order differential equations in pure mathematics and understand their implications in real-world applications. By exploring this fundamental topic, you will gain insight into various types of second-order differential equations, their components, and learn how to apply them effectively. Dive deep into the world of second-order differential equations, a vital concept in further mathematics that helps develop a strong understanding of advanced mathematical solutions. |
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