Using calculus, astronomers could finally determine distances in space and map planetary orbits. After tireless efforts by mathematicians for approximately 500 years, new techniques emerged that provided scientists with the necessary tools to explain many phenomena. The Fundamental Theorem of Calculus, Part 2, is perhaps the most important theorem in calculus. Fundamental Theorem of Calculus, Part 2: The Evaluation Theorem ProofĪpplying the definition of the derivative, we have Not only does it establish a relationship between integration and differentiation, but also it guarantees that any integrable function has an antiderivative. There is a reason it is called the Fundamental Theorem of Calculus. Second, it is worth commenting on some of the key implications of this theorem. So the function F ( x ) F ( x ) returns a number (the value of the definite integral) for each value of x. The key here is to notice that for any particular value of x, the definite integral is a number. At first glance, this is confusing, because we have said several times that a definite integral is a number, and here it looks like it’s a function. Note that we have defined a function, F ( x ), F ( x ), as the definite integral of another function, f ( t ), f ( t ), from the point a to the point x. īefore we delve into the proof, a couple of subtleties are worth mentioning here. Then F ′ ( x ) = f ( x ) F ′ ( x ) = f ( x ) over. We state this theorem mathematically with the help of the formula for the average value of a function that we presented at the end of the preceding section. The theorem guarantees that if f ( x ) f ( x ) is continuous, a point c exists in an interval such that the value of the function at c is equal to the average value of f ( x ) f ( x ) over. The Mean Value Theorem for Integrals states that a continuous function on a closed interval takes on its average value at some point in that interval. To learn more, read a brief biography of Newton with multimedia clips.īefore we get to this crucial theorem, however, let’s examine another important theorem, the Mean Value Theorem for Integrals, which is needed to prove the Fundamental Theorem of Calculus. The relationships he discovered, codified as Newton’s laws and the law of universal gravitation, are still taught as foundational material in physics today, and his calculus has spawned entire fields of mathematics. Isaac Newton’s contributions to mathematics and physics changed the way we look at the world. Its very name indicates how central this theorem is to the entire development of calculus. This relationship was discovered and explored by both Sir Isaac Newton and Gottfried Wilhelm Leibniz (among others) during the late 1600s and early 1700s, and it is codified in what we now call the Fundamental Theorem of Calculus, which has two parts that we examine in this section. These new techniques rely on the relationship between differentiation and integration. In this section we look at some more powerful and useful techniques for evaluating definite integrals. Unfortunately, so far, the only tools we have available to calculate the value of a definite integral are geometric area formulas and limits of Riemann sums, and both approaches are extremely cumbersome. In the previous two sections, we looked at the definite integral and its relationship to the area under the curve of a function.
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12/25/2023 0 Comments Photo session crosswordBIG SPOON? BIG SPOON? Unless you are two humans spooning, there is no BIG SPOON, boo." But otherwise the fill was acceptable and even bouncy at times. I also balked at BIG SPOON (8D: Implement for eating soup but probably not for stirring coffee), like ". quite audible, so to this YOGA clue I say, quiet shmiet. I also don't buy that YOGA is "quiet," LOL, have you ever been to a YOGA class? A zen retreat is quiet, YOGA sometimes features Om-ing and sometimes grunting and sometimes you are instructed to use that ujjayi breath, which is (per one YOGA DVD I own) "like Darth Vader," i.e. I mean, it's an intricate layout, with overlapping themers, so it's a harmless fudge, but fudge it is, nonetheless. TWO, sure, PLEASE, come on, please, you fudged that in order to get the layout to work. Speaking of things I don't buy: I don't buy the PLEASE part of " TWO, PLEASE." There is zero nada nothing about the emoji in question that indicates PLEASE. This wasn't really my jam, but it seems a well-made Tuesday puzzle nonetheless. And the fill is much livelier than usual for a Tuesday. The grid has an unusual look, with its mirror symmetry, and the theme answers appear in interesting places, so even if I don't buy the black-square "V," I do like the overall design. I guess the emoji is supposed to make it "fresh" but it's just a fairly easy, straightforward set of what that emoji can represent. I hope it's not part of the concept and that I'm just seeing things, because if that's supposed to be a "V," yeesh. Are the black squares in the center of the grid supposed to be a visual approximation of the emoji? There's a vague "V"-like thing going on there, but it's more "Y" than "V". No matter, crosses took care of my confusion pretty easily. I knew Churchill's "V" had to do with victory but I was looking for a slogan, like, I dunno, VICTORY OVER JAPAN or something like that. Well, at that point (very early) there were only two more to get, and I actually had trouble parsing V FOR VICTORY. At that point, I could pretty much go ahead and fill in all the theme answers without hesitation. See if you can find them!įill out the card with all your Temple favorites.Challenging for me, at first, since my software doesn't handle emojis, so my clue for " TWO, PLEASE" was just and I sat there thinking "what in the world could a comma stand for when ordering?" But I quickly realized "oh, they're doing the emoji thing again" and I could pretty much infer from the TWO in " TWO, PLEASE" what emoji we were dealing with, and then PEACE SIGN came shortly thereafter and confirmed my suspicions. There are 20 differences between the two images below. Just make sure to share and tag to get those cherry and white bragging rights!Ĭlicking anywhere on the above image will take you to a printable pdf file of the puzzle. Print it, digitally doodle it or complete the crossword anyway you'd like. That's where you'll find the answers.Įvery answer in this puzzle has some connection to Temple University, whether it's a person, a location, a time-honored motto or something else entirely. Now that the fall semester's all but wrapped up, you can look forward to some much-needed downtime-and you more than earned it.īut try to keep your mind nimble during these cold winter days.īetween Netflix binges, test your wits with this Temple-themed crossword puzzle, see if you can spot the diffences between two photos of The Wall, or just reminisce about old times by filling out this list of Temple favorites.Īlso: For more games, check out Fun and Instagram Games, and follow us on Instagram. 12/25/2023 0 Comments Twitter incontrolAny attempt to provide customer service requires that, to some extent, but it's also clear that the company needs to consider additional controls, such as requiring two employees to sign off on proposed changes to prominent user accounts.Ĭompanies also need to move past the idea that a user who has entered the proper login credentials is a valid user - the so-called "zero trust" approach. Then, once workers pass that test, other tools are needed that grant certain people access only to specific data sets or controls, so that one breach doesn't open up the entire company to an attacker.Īt Twitter, lots of employees have access to user accounts. Software from companies like Okta allows workers to securely access the internal corporate applications they need to do their jobs with "single sign-on" technology, sort of like a password manager for work. This need has only accelerated in a pandemic, during which so many employees are working from their home networks and outside of the traditional defenses around corporate networks. In a blog post Monday, security expert Bruce Schneier called the Twitter incident a "class break," describing this category as "security vulnerabilities that break not just one system, but an entire class of systems." "Class breaks are endemic to computerized systems," he wrote, "and they're not something that we as users can defend against with better personal security."Īs more and more companies move critical applications to cloud services and use third-party enterprise software tools, modern identity management software has become a very important part of the tech department's toolkit. But it's clear that steps taken to improve controls in the aftermath of two other high-profile incidents - a 2010 settlement with the Federal Trade Commission over account access issues and the 2018 indictment of two employees who were spying for the Saudi Arabian government - were not enough, and there are lessons for everyone in the aftermath. Twitter's experience was an extreme one, and while we don't know exactly how much information was compromised, the outcome could have been much, much worse. It took Twitter several hours to regain control of its systems Wednesday after a small group of hackers were able to obtain the login credentials of a Twitter staffer and commandeer its account tools. Twitter's harrowing security incident last week is a good reminder that many companies need to reassess the internal controls governing access to their tools and data, because it's never been harder to stop the bad guys at the perimeter.įor administrators at a big, very visible company like Twitter, it's not if your network defenses will be penetrated it's when. 12/25/2023 0 Comments 8 minute timerIn the UK, that equates to the average pace for a man being 5min 29sec per kilometre, or 8 min 49 sec minutes per mile. What is the average pace for running a half marathon? More specifically, for men, the average half marathon finish time is 1:55:26 and for women, the average half marathon finish time is 2:11:57. The result? Turns out the average half marathon finish time in the UK is 2:02:43. OK, so what is the average half marathon time in the UK? And so that you can work out how you might fare against the average runner, we took a look at data collated by RunRepeat, which analysed a whopping 107.9 million race results from more than 70 thousand events, in 209 countries between 19. That said, Google search shows us that runners around the world have indeed been asking "What is a 'good' half marathon time, so we've been digging into the data to see if we can identify - if not a 'good' time, that at least an 'average' one.Īfter all, whether it’s your very first foray into the half marathon distance, or you are gunning for a shiny new PB, setting a goal for those 13.1 miles can help to keep you motivated. For amateurs, ever race is a personal achievement and every runner should have their own very personal goals bringing them to the start line. Firstly, there is, of course, no such thing as a 'good' half marathon time - unless maybe you are an elite runner reading this. 12/25/2023 0 Comments Top secret government files
12/25/2023 0 Comments Chapters interactive stories onlineThe game’s developers (Milkshake Games) are also very active on Unwritten Discord and welcome fan input, which is nice. Even though this narrative game is still very new, it already has a dedicated fanbase that has been around from the very beginning. Whether you prefer a kinder, gentler approach or a more assertive and aggressive stance, the game has something for everyone.Īnother thing I love about Unwritten is its community. The choices you make in the game influence not only the direction the story takes but also how it ends.īecause of that, Unwritten quickly became my all-time favorite interactive game.įurthermore, there are different paths you can choose and develop, based on the choices you make. What’s more, Unwritten: How Will Your Story End has meaningful choices that truly make a difference, which unfortunately can’t be said for many other choice-based games. While romance plays a role in the game, it’s intertwined with playable scenarios and objectives, making it entirely optional. What sets Unwritten apart from other interactive fiction games is that it’s incredibly diverse, both in terms of its characters and genres. Through its beautiful art, unique personalities, and compelling storytelling, Unwritten brings something fresh and new to the world of visual novels. This newly released interactive story game features multiple series with hybrid gameplay and interactive elements that will keep you entertained for hours on end. Here’s why I believe it’s the best interactive story game on mobile right now. Unwritten: How Will Your Story End is an outstanding choice for anyone looking for interactive story games that are both entertaining and intriguing. 12/25/2023 0 Comments Sims money hack
The Caveman Spongebob meme is quite popular because of the innocent and ignorant look of Spongebob. In this episode, SpongeBob, Patrick, and Squidward’s prehistoric ancestors SpongeGar, Patar, and Squog discover fire. This meme is taken from the episode titled “Ugh” from Season 3. You will have to go to the link given in the title and as usual, provide your input Text #1 and Text #2 which best suit the situation and fit the meme. How about if we show you how to generate a SpongeBob smile meme? Well, at the moment we can’t find the original episode from which this meme is generated. This meme generator SpongeBob template lets you add your custom meme text over a very funny walking and smiling SpongeBob picture. Text #1 will generate a statement for the monster character while your input in Text #2 goes to the SpongeBob character.Ĭheck this cool SpongeBob vs Monster meme from the same website. The linked website provides the option to fill the text and create your own meme. In the episode, Spongebob is unimpressed when he is confronted by the Flying Dutchman, who attempts to scare him by shapeshifting into various monsters The meme is originated from an episode aired on May 5th, 2006, the Spongebob Squarepants episode “Ghost Host”. SpongeBob looks quite casual in front of a monster and looks like he is not scared at all. This is one of the best meme generator SpongeBob templates. Text #1 will generate a statement for the weak SpongeBob character and Text #2 will generate a statement for the strong SpongeBob character. Using this weak vs strong SpongeBob meme generator template you can fill your text and create your own meme. This meme is probably originated from the episode MuscleBob BuffPants. This is one of the best meme generator SpongeBob where SpongeBob gains muscle. You get the option to write your own meme SpongeBob text and it’s that simple. Using this link you can generate your own Mocking SpongeBob meme. In this episode character of SpongeBob turns into an angry lecturing figure (imitating a chicken, no less) who appeared to be scolding and/or mocking something we can’t see. Mocking SpongeBob or chicken SpongeBob meme is based on a screenshot taken from the season nine episode of SpongeBob SquarePants titled “Little Yellow Book,”. SpongeBob squarepants Meme Templatesġ5 Best meme generator SpongeBob 1. “Push It Somewhere Else Patrick” SpongeBob meme generator SpongeBob shows Patrick Garbage Meme Generator SpongeBob come closer template Meme Generator 12/25/2023 0 Comments All wireshark filtersAll Wireshark filters are case sensitive - lowercase. If you're troubleshooting an issue, feel free to reach out to Meraki Support, who can help you understand what you might be seeing in the captures.īefore getting started, there are some things that will help when filtering with Wireshark. This guide can only scratch the surface of what can be done with Wireshark. If this is a concern, then it is recommended that you use a port mirror on the switch or use a network tap to capture data. The device is going to give higher priority to delivering the packets than capturing them. Keep in mind that captures from Meraki equipment aren't always going to display 100% of the packets that pass the device. Many times Wireshark can show the server admin that it is, in fact, NOT a network issue, but an issue where the server simply isn't responding to traffic that it's being sent. This guide is going to be diving into some (but not all) moderate to advanced Wireshark filters that can be used to help troubleshoot and narrow down the issue. For a quick rundown of how to get started, refer to the articles below. Meraki provides ample opportunity to gather data through packet capture. Network troubleshooting can be difficult and time-consuming to narrow down issues as they come up, and at some point, everyone will blame the network. One of the best tools that you can utilize is Wireshark, a free and open-source program. 12/25/2023 0 Comments Slik quick release platesHigh-tech electronics are stepping up the game for earplugs, ear cuffs, ear muffs, and every smart device in between. Editor's Choice & Best Under $2000: Vortex Optics Razor HD Gen II. 99 Get it as soon as Wednesday, Oct 4 The South Fork is one of the new rifles for PRS Production Class, which must cost $2,500 or less. USA GunClub Range Bag with Removable Hook & Loop Dividers, Black, Medium. On a device or on the web, viewers can watch and discover millions of personalized short videos. Get some bags and shoot off them, use a shooting bench, use a shooting rest, use whatever you want - just do it supported. Precision Rifle Series (PRS) is an American long-range and precision rifle-based shooting sport derived from practical shooting. Maximum stability being the goal this is a heavy weight bag at 5lb 9oz. 4 … Ulfhednar PRS Shooting Bag Support Rest "Multipurpose" #UH200. Earmuffs Earplugs Shooting Glasses Gun Cases. + OneTigris Shooting Rest Bag, Pre-Filled Outdoor Shooting SandBag Front & Rear Support Squeeze Bag Gun Rest Stand Holder … The Edgewood Original shooting bag is a popular choice for benchrest shooters due to its heavy sand filling, reinforced leather sides, and heavy nylon top and ears. For hunting deer-sized game, I find 100-yard increments to work well, but for varmint shooting or punching holes in paper, you may want to dial that down to 50- or even 25-yard increments. This rugged canvas and leather kit bag holds everything you need for the field or clays course. 150 inches longer than the Dasher, further improving feed reliability. Altus Shooting is your one-stop destination for precision rifle or shooting accessories, shooting competitions and course offerings. Rigid construction keeps bag open and upright for easy access to gear. A lighter bag or shots on target? This Schmedium bag gives your benchlike-precision when shooting off barricades because of its stability. 5" D Tactical Rear Squeeze Bag, Shooting Rest, Rifle Rest, Long Range Shooting Rest, PRS Precision, Medium Barricade Bag, S2Delta. |
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