4/11/2024 0 Comments Metal roof rafter spacingThis does not include construction or environmental loads.ĭead loads are defined by the code as follows: Loads produced by the use and occupancy of the building or other structure. Live loads are defined by the code as follows: The code recognizes 2 types of loads that are applied to roof rafters: Live Loads and Dead Loads. Before we look at these tables, we need to make sure the correct design loads are determined prior to selecting the correct table. These span tables list allowable roof rafter spans for common lumber sizes based on what design load scenario is applied. Wood roof rafters are sized based on one of eight tables found in the code. In this post we will learn how to correctly size a roof rafter based on its span, spacing and species of wood used.įun Tip: To learn the difference between the International Residential Code (IRC) verses the International Building Code (IBC), be sure to check out this POST. Section R802.4 outlines the wood roof rafter framing criteria which also includes prescriptive span tables. Please be aware of which version of the IRC you are using since the allowable spans can vary.) For the purpose of consistency, this post will reference the 2018 IRC. The allowable roof rafter span tables in the 2018 version are found in section R802.4 while the tables in the 2015 version are found in section R802.5. (Note: the table references have changed in the 2018 version of the IRC. The design and construction of wood roof rafters are found in Section R802.4 of the International Residential Code (IRC). In this post we will cover wood roof framing members, specifically roof rafters. The International Residential Code (IRC) recognizes two types of conventional roof and ceiling framing systems for buildings that are subject to the International Residential Code (IRC): wood framing and cold-formed steel framing. Roof/ceiling members must be properly designed to ensure they provide adequate support as required by the loads that are imposed on them as well as making sure these loads are correctly transferred to the supporting walls and/or supporting structural elements. Want to learn how to easily size roof rafters?Ĭhapter 8 of the 2018 International Residential Code (IRC) regulates the design and construction of roof and ceiling systems. How to Size Ceiling Joists Per the IRC | Easily Explained with Examples.How to Size Floor Joists Per the IRC | Easily Explained with Examples.
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4/11/2024 0 Comments Imgur wallpaper dump hollow knightHidden Dreams - Mighty new foes emerge! New Boss fights. The Grimm Troupe - Light the Nightmare Lantern. Tweaks and Refinements across the whole game. Lifeblood - A Kingdom Upgraded! New Boss. Godmaster - Take your place amongst the Gods. We reserve the right to make judgement calls on when a particular thread becomes disruptive to the sub, and we are unable to maintain a civil space for the discussion.About This Game Hollow Knight Expands with Free Content We are a small, volunteer mod team and there is a limit to our ability to respond to brigading and trolling from Reddit at large. Questions not asked in good faith - such as a rant or hate towards any group in the form of a question, as well as leading questions, or those asked merely to promote an agenda will be removed. Rule 9: No disguised rants, agenda posts, potstirring, disruptive topics You are welcome to ask good faith questions about such topics but be aware such threads may be locked or removed if necessary to preserve the integrity of the subreddit. Tasteless or disturbing questions regarding loli, pedophilia, murder, violence or other sketchy or disgusting subject matter are not welcome here. Nothing like "Where can I find a copy of (movie/show/music) for free online?" There are other places for asking that, this is not one of them. Rule 8: No illegal/unethical or disturbing subject matter Please see more appropriate subreddits for that. No trying to draw traffic to product/video/podcast/website by phrasing it in the form of a question.Īsking for upvotes, birthday wishes, handouts, or fundraising support fall under this as well. Rule 7: No self-promotion, shilling or begging Questions along the lines of "was I raped?" or "was I sexually assaulted?" are best addressed by the trained, professional support resources you can find here or here. Suicide related questions are best handled by the resources they have at r/SuicideWatch. Rule 6: No suicide or 'was I raped/sexual assaulted/sexually harrassed?' questions No medical advice questions Rule 5: No trolling or joke questionsĭisallowed: questions that are joke or trolling questions, memes, just song lyrics as title, etc. are not permitted at any time.Ĭheck out the reddiquette page for more info - violations of any of those of clauses may result in a ban without warning. Civil disagreements can happen, but insults should not. NSQ is supposed to be a helpful resource for confused redditors. Rule 3: Follow reddiquetteīe polite and respectful in your exchanges. You can find the questions that have come up here again and again in our wiki. As much as we love answering questions here, it doesn't help when we see repeat questions on the front page every day. Rule 2: Please try searching here before posting a new question Link only answers permitted if the question happens to be "What is a good subreddit for.?" On-topic follow up questions are allowed. No responses being rude to the questioner for not knowing the answer. Users are coming to NSQ for straightforward, simple answers or because of the nuance that engaging in conversation supplies. Please do not answer by only dropping a link and do not tell users they should "google it." Include a summary of the link or answer the question yourself. Follow-up questions at the top level are allowed. Accounts using AI to generate answers will be banned. Joke responses at the parent-level will be removed. RULES: Rule 1: Top level comments must contain a genuine attempt at an answerĪll direct answers to a post must make a genuine attempt to answer the question. This subreddit was inspired by this thread and more specifically, this comment. r/explainlikeimfive (check their rules before posting) r/OutOfTheLoop (check their rules before posting) Thanks for reading all of this, even if you didn't read all of this, and your eye started somewhere else have a cookie. All questions are welcome - except clear trolls, please don't be that guy. All questions are welcome such as to how to change oil, to how to tie shoes. There is no such thing as a Stupid Question!ĭon't be embarrassed of your curiosity everyone has questions that they may feel uncomfortable asking certain people, so this place gives you a nice area not to be judged about asking it. 4/11/2024 0 Comments Nate newton nflMark Stepnoski spent a total of nine years with the Cowboys in two separate stints. Years Played With Dallas: 1989-1994, 1999-2001Ĭareer Accolades: 2x Super Bowl Champion, 3x 2nd team All-Pro, 5x Pro Bowl Cowboys C Mark Stepnoski C Mark Stepnoski He is one-fifth of the offensive line dubbed The Great Wall of Dallas and helped pave the way for NFL all-time leading rusher Emmitt Smith.īig Nate is overdue for his induction, and I hope to see him get his gold jacket in the summer of 2024. Newton played a huge part in the Cowboys dynasty of the 90's and was one of few players from those teams to play for both Tom Landry and Jimmy Johnson.įrom 1992 thru 1998, Newton played in six Pro Bowls and was selected 1st team All-Pro twice. He is one of those players who make you scratch your head once you find out he is not already part of the NFL Hall of Fame. Nathaniel “Nate” Newton Jr., lovingly nicknamed “The Kitchen” by his former teammates, is already a member of the HBCU Hall of Fame. Cowboys OL Nate Newton OL Nate NewtonĬareer Accolades: 3x Super Bowl Champion, 2x 1st team All-Pro, 6x Pro Bowl One of the last true fullbacks, it would be a delight to see Johnston recognized with a bust in Canton. Over the course of his career, he caught 294 passes for 2,227 yards and 14 touchdowns. Johnston was a master of catching the football out of the backfield from his fullback position and even lined up out wide in certain packages. Most of his damage outside of blocking was done as a receiver, however. Moose finished his career with 232 rushes for 758 yards and eight touchdowns. Johnston was no slouch with the ball in his hands either. Mandatory Credit: Jed Jacobsohn /Allsport FB Daryl JohnstonĬareer Accolades: 3x Super Bowl Champion, 2x Pro Bowlĭaryl “Moose” Johnston is most known for paving the way for NFL all-time leading rusher Emmitt Smith.īehind the hard-nosed blocking of Johnston, Emmitt amassed 12,556 yards rushing and 125 touchdowns over a span of 10 seasons together. : Running back Daryl Johnston #48 of the Dallas Cowboys carries the football during the Cowboys 25-22 loss to the Arizona Cardinals at Sun Devil Stadium in Tempe, Arizona. His final stat line is a 78-49 record as a starter, 34,183 passing yards, 248 passing touchdowns, and a 97.1 QB rating. He finished his Cowboys career as the leader in several franchise statistical categories. Romo never made it to an NFC Championship Game, much less the Super Bowl, but he will forever have a place in Cowboys history.Ĭountless memories of Romo dancing around and dodging pass rushers in the pocket to find a wide open man downfield are burned into our brains. His on-field magic was a welcome sight after so many years of terrible quarterback play following the retirement of franchise legend Troy Aikman. Romo never looked back, starting 127 games until a preseason back injury in 2016 forced him to retire at the end of that season. He sat behind quarterbacks like Quincy Carter, Vinny Testaverde, Chad Hutchinson, Drew Henson, and Drew Bledsoe before finally getting his chance early in the 2006 season. Romo had offers from the Dallas Cowboys and Denver Broncos but chose the Cowboys despite them offering a lower signing bonus. He went undrafted in the 2003 NFL Draft after a stellar college career a Eastern Illinois University. Cowboys QB Tony Romo celebrates scoring a touchdown in a game versus the New York Giants QB Tony RomoĬareer Accolades: 4x Pro Bowl, 1x 2nd team All-Pro I won't speculate as to whether they can become finalists, but we can reminisce about the things they accomplished while in a Cowboys uniform. The other seven former Cowboys on the ballot all spent their entire careers with Dallas, or were big contributors to Super Bowl winning teams. Some of these players either only suited up for one game (Allen Rossum) or did not spend the better part of their careers in a Cowboys uniform.įor that reason, I won't go into detail on those particular few, but I will list them here anyway. The NFL Hall of Fame Committee revealed the 2024 nominees earlier this week.Īmongst the laundry list of names are 16 players who were part of the Dallas Cowboys organization at one point or another in their careers. 4/11/2024 0 Comments Color picker wheel photoshopNew MagicRefs 2.3 -Tag, search and collect images locally in Photoshop, also Rotate, Resize and Collage and use as references: – Improved compatibility with Photoshop CC 2024 New MagicTints 3.4 -1-click AI & Machine Learning granular color matching in Adobe® Photoshop, Illustrator, InDesign New MixColors 5.3 -Enhance your painting skills with color mixing and color swatch managing – Performance improvements, small UI fixes New MagicPicker 9.2 -Professional color wheel HUD, now with Munsell support and a lot of new features and improvements: New MagicSquire 7.3-Organize brushes in colorful groups with tags, now with HUD popup and granular brush controls) Just like Lab but much better!įrom series of tutorials for MagicPicker, advanced color wheel for Photoshop Author Anastasiy Posted on OctoOctoCategories MagicPicker, Tips&Tricks Tags 2020, 2022, Addon, Adobe, Adobe Photoshop, art, brightness, CC, cc2014, CC2015, CC2017, CC2018, CC2019, CC2020, CC2022, CIE Luv, CMYK, Color name, color picker, color schemes, color sliders, Color Space, Color Spaces, color value, color wheel, colors, Concept art, creative cloud, Creative Suite, CS3, CS4, CS5, CS5.5, CS6, design, Digital Painting, Extension, Gradient, HCL, hex, Hints, HSB, HSL, Illustrator, L*C*h, Lab, MagicPicker, painting, panel, panels, photography, photoshop, Plugin, RGB, RYB, saturation, temperature, tips, Tone Lock, tricks, tutorial, wacom Leave a comment on Tip#127: CIE Luv – color space used by digital pros Upgrade your creativity – all panels receive full Adobe CC 2024 support, more Superior color coverage, perceptual brightness support. 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MagicSquire 6.1, professional brush manager (30% off)ĭiskFonts 1.2, font manager (30% off) Author Anastasiy Posted on NovemCategories Discounts, MagicPicker, MagicRefs, MagicSquire, MagicTints, MixColors, News Tags. MagicTints 3, one-click color matcher (50% off) Anastasiy’s MagicPicker Pro Color Wheel HUD, MagicTints AI Color Matcher, and MagicSquire Pro brush control for Adobe Photoshop and Creative Cloud. 4/11/2024 0 Comments Factors of quadratic equationAnd then if we take negativeĨ plus 7, that is equal to negative 1, which is exactly theĬoefficient right there. So if we take negativeĨ times 7, that's equal to negative 56. Sum is negative, tells me that the larger of these two should Positive, and one of these has to be negative. Out into my brain, because they're very close Jump out in your brain, we just learned this in Jump out in my brain- and I don't know if they One is going to be positive, and one is going to be Numbers have to be minus 56, have to be negative 56. Just to really get well honed this skill. Plus negative 7, but that'd be equal to negative 5, so that We're done! That worked! I mean, we could have tried 2 This in a different color- if I do negative 2 plus 7, Now what about 2 and 7? If I do negative 2- let me do And 1 plus negative 14 isĮqual to negative 13. So let me write all of theĬombinations that I could do. Going to try out things- 1 and 14, negative 1 plusġ4 is negative 13. Two, do I get 5? So if I take 1 and 14- I'm just Or I'm really kind of taking the difference of the When I add them, if one is positive and one is negative, And when I add the two, a plusī, it'd be equal to 5. Is positive, and one of them is negative. Negative, right? a times b is equal to negative 14. Minus 11x, plus 24 is going to be equal to x minus Work out, right? Because we have a negativeģ and negative 8? Negative 3 times negative 8 So when you look at these,ģ and 8 jump out. Let's take the negative of both of those. Two factors, when I add them, should I get 11? And then we could say, Multiply these- well, obviously when I multiplyġ times 24, I get 24. Times 24, 2 times 11, 3 times 8, or 4 times 6. And they both can't be positive,īecause when you add them it would get youĪ positive number. Remember, one can't be negativeĪnd the other one can't be positive, because the Their product is positive, tells me that both aĪnd b are negative. The fact that their sum is negative, and the fact that Now, if when I add them, I getĪ negative number, if these were positive, there's no way IĬan add two positive numbers and get a negative number, so Need to be positive, or both of these need to be negative. Let's up the stakes a littleīit, introduce some negative signs in here. Out, and see that this is indeed x squared plus This would be equal to x plus 5, times x plus 10. Let's try out these numbers,Īnd see if any of these add up to 15. So what could a and b be? Let's think about theįactors of 50. You do, you're going to see that it'll start toĬome naturally. And this is going to be a bit ofĪn art that you're going to develop, but the more practice Numbers that, when I multiply them I get 50, and when Plus 10x, plus- well, I already did 10x, let's do aĭifferent number- x squared plus 15x, plus 50. Whatever's my constant term, myĪ times b, the product has to be that. You should put it in that form, so that you canĪlways say, OK, whatever's on the first degree coefficient, And of course, this has toīe in standard form. You take their product, have to be equal to 9. Say, all right, what two numbers add up to thisĬoefficient right here? And those same two numbers, when Leading coefficient on this quadratic is a 1, you can just This, when the coefficient on the x squared term, or the Videos, you'll see that it is indeed x squared plusġ0x, plus 9. Out, using the skills we developed in the last few So we could factor thisĪs being x plus 1, times x plus 9. So a could be equal to 1, andī could be equal to 9. You'll have 3 plus 3- that doesn't equal 10. So what are the factors of 9? They're 1, 3, and 9. And normally when we'reįactoring, especially when we're beginning to factor, What are the factors of 9? What are the things that aĪnd b could be equal to? And we're assuming thatĮverything is an integer. Match this to that? Is there some a and b whereĪ plus b is equal to 10? And a times b is equal to 9? Well, let's just think about Middle coefficient on the x term, or you could say theįirst degree coefficient there, that's going to be This is the product of two binomials, we see that this Plus- I can write it as b plus a, or a plusī, x, plus ab. In the middle right here, because they're bothĬoefficients of x. X squared, plus x times b, which is bx, plus a times x, Two things, what happens? Well, we have a little bit What happens if we were to take x plus a, and multiply How do we do that? Well, let's just think about Quadratic expression, x squared plus 10x, plus 9. In this case, in all of theĮxamples we'll do, it'll be x. Have a variable raised to the second power. Polynomial, or just a quadratic itself, or quadraticĮxpression, but all it means is a second degree polynomial. Bunch of examples of factoring a second degree polynomial, This is the sweet point between boiling the butter (NOT what you want) and not hot enough. As it melts the butter will start to foam. Whisk the butter constantly as it melts to ensure it’s evenly heated.Start by melting your butter over medium heat in a small sauce pan.Plus, once you get the hang of doing it, it’s not all that hard to do! So…how do you make brown butter?īrowning your butter gives it an amazing, complexity that enhances so many recipes, and really takes any baked good from pretty good to absolutely drool worthy. Toss some raisins in there and you’ve got yourself a damn good cookie. It develops a beautiful nutty, toasty caramel taste that just makes you want to drink it.īrown butter pairs beautifully with so many different flavors, but it goes especially well with oats because of its nutty, toasty notes that really complement oatmeal. It’s called brown butter, because it turns, well, brown. And I know you will too.īrown butter is made by “toasting” regular butter. Super gooey and chewy in the middle with a crunchy edge and just enough toasty oats to keep things hearty without tasting too much like you’re eating oatmeal. Now, I will preface this with saying that I do have a thing for oatmeal raising cookies, but these brown butter oatmeal cookies are pretty much the cookie of my dreams. This brown butter oatmeal cookie recipe is so good I almost don’t want to share it. And if you’ve had those cookies, you know this is HIGH praise. I’ll just say it: these are the best cookies I’ve eaten since our classic chocolate chip cookies. They’re pretty much perfect for every situation. These cookies are the perfect heartwarming treat and go perfectly with a glass of milk, a cup of coffee, or a big ol’ mug of hot chocolate. It’s soft, tender, warm, cozy, and perfectly sweet. If a really good hug could be a cookie, it would be a brown butter oatmeal raisin cookie. These soft and chewy brown butter oatmeal cookies are loaded with raisins and old fashioned oats to make the perfect hearty cookie. Introducing our new favorite cookie: brown butter oatmeal raisin cookies. Let cool and serve.This website uses affiliate links which may earn commission for purchases made at no additional cost to you. Bake for 20-22 mins or until golden brown. Add raisins, cranberries, pumpkin seeds, and walnuts then fold in. Add dry mixture and beat until combined again. Add flax eggs and vanilla, beat until just combined. In another bowl, add butter and both sugars. In a mixing bowl, add all dry ingredients (first 4 ingredients). Preheat oven to 350☏. Parchment line two baking trays. ▢ 3/4 cup organic sugar ▢ 1/2 cup brown sugar, packed ▢ 2 flax eggs ▢ 1 tsp vanilla extract ▢ 2 1/4 cup rolled oats (or gluten free oats) ▢ 1 cup raisins ▢ 1 cup dried cranberries ▢ 1/2 cup pumpkin seeds ▢ 1/2 cup walnuts, roughly chopped 1. They’re so dreamy and yummy, you’re going to literally be obsessed □ SAVE the recipe below! ⬇️ Yields: 16 ▢ 1 1/4 cups all-purpose flour (or gluten free flour) ▢ 1 tsp baking soda ▢ 1 tsp cinnamon ▢ 1/2 tsp salt ▢ 3/4 cup (1 1/2 sticks) vegan butter, room temp. They can also super easily be made gluten free. Not to mention they’re dairy free, egg free, and 100% *vegan*. Mixed Fruit & Nut Oatmeal Cookies □ Follow for more □ These oatmeal cookies are super soft, chewy with the added subtle crunch of nuts and filled with raisins and dried cranberries that makes this the best oatmeal cookie for 2024. Established over a decade ago, it has since amassed a vast collection of shaders, mods, texture packs, and various other resources for both Minecraft Java and Bedrock versions. Shaders Mods was the pioneering website dedicated solely to Shaders for Minecraft. Keep in mind that while these shaders may not offer the same depth of customization as the Java version, they are still a great way to enhance the visual aesthetics of your Minecraft Bedrock gameplay. Here you will find a curated list of shaders that are optimized for the Bedrock platform and offer a unique visual experience. In order to access a comprehensive selection of shaders specifically designed for the Bedrock version, you can check out our dedicated Bedrock Shaders section on our website. Installing shaders on Minecraft Bedrock (PE) is definitely possible, but the options available may not be as extensive as those for the Java version. If you want to see a full ranking of all the shaders available, check out our best shaders page. Some of the most popular and well-respected shaders include Continuum, SEUS, BSL, Chocapic's and Sildur's Vibrant Shaders. There are many different shader packs available for Minecraft, each with their own unique features and effects. However, some packs may require a purchase or donation to access. Yes, many Minecraft shader packs are available for free download and use. Overall, shader packs are essential for any player looking to take their Minecraft experience to the next level. With a wide variety of shaders available, players can customize their game to their exact preferences, whether they want a more realistic or fantastical aesthetic. These shaders can completely change the look and feel of the game, creating a more immersive and realistic experience. Shaders in Minecraft are a type of mod that enhance the game's visuals by adding special effects such as dynamic lighting, reflections, and realistic water and sky. Continue Cancel What are Shaders in Minecraft? You may play this game embedded in the above iframe or click here to view it in a separate browser window by itself. The game does not have an "undo move" button, which makes it more challenging than games which have that feature. If traditional solitaire seems too complicated, give Spider Solitaire a try. Easy is a single-suit game (spades), medium is a two-suit game (spades and hearts), and hard is a four-suit game (spades, hearts, clubs, and diamonds).īuttons across the top of the screen allow the player to expand the game to full screen, restart the game, read playing instructions, turn music on or off, and exit the game. There are many different types of Solitaire besides the classic version. Games are scored based upon how many cards are removed from the playing field and how quickly the player completes the game.The game is lost if cards remain on the playing field.The game is over and the player has won if all cards are removed from the field.When a player stacks a column of the same suit from king down to ace it is removed from the playing field.If a column does not have any cards left in it the column is blank and you can move cards from other columns into that column.When a player removes the cards from a column the top card remaining on that column is turned over.There are 5 rounds of card stacks in the deck which can be laid onto the field. When the player can not move any more cards they can click on the stack of cards to lay a new card on top of each column. Play a free beautiful collection of Spider solitaire game variations, including: - Spider - Spider One Suit - Spider Two Suits - Scorpion We support our apps and your feedback is welcome.This site is now owned and operated by my company: Sinopia Olive Limited 11 Raven Wharf Lafone Street London SE1 2LR. Check out my new calculator web app Legal. I also love hearing suggestions Email me at. Please let me know if something doesn't work. Columns of cards may be moved onto other columns provided all cards are of the same suit. Hi there, I'm Jo I originally created this game in November 2011. Players can stack cards in decrementing order.Cards are dealt in 10 columns of 5 or 6 cards each, for a total of 54 cards on the playing field.You can play web solitaire with your friends and participate in. How to Play Spider Solitaire General Instructions Solitaire Social is an interactive online game where you can play solitaire for free. Try the game in it's own window by clicking here. You can play this game on computers powered by the Microsoft Windows operating system, the Apple OS X Mac operating system, and mobile phones like the iPhone powered by iOS or Google Android powered Samsung. These games are rendered using JavaScript and a mobile-friendly HTML design, so they work on desktop computers, laptops like the Google Chromebook, tablets like the iPad or Amazon Kindle Fire, and mobile devices like the iPhone. Almost every game in our collection was created using a game building tool named Construct. 4/11/2024 0 Comments World map political outlineIt involves studying the development of human societies and cultures over time, examining the key events and people that have shaped our world, and analyzing the factors that have driven progress, conflict, and change. World history is a vast and complex subject that covers the entire scope of human civilization. World maps are one medium by which scientists circulate their intelligence and spread them to coming generations. Old world maps show data about regions that were recognized in the past, along with the cultural and philosophical basis of the world map, which were generally much distinct from present-day cartography. Prehistoric world maps show illustrations of the earth from the Iron Age to the Discovery Age and the evolution of contemporary geography at the time of the initial modern era. These world maps can describe social, physical, political, economic, cultural, agricultural, sociological, or several other statistics of a region, city, region, state, nation, and continent. Reasonably the most famous map projection is the Mercator, formerly crafted as a nautical chart.Ī thematic world map displays geographical statistics related to one or a many focused topics. The many world map projections that have been created and used add distinct ways of adjusting accuracy and the inescapable misrepresentation implicit in developing world maps. All world map projections disfigure geographical or physical features, directions, and distances in some manner. It can help people understand the world's physical and political geography, as well as the relationships between different countries and regions.Īll maps of the world are developed on one of various world map projections, or mechanisms of depicting an earth on a plane. The world map is used for a variety of purposes, including education, navigation, tourism, and research. The seven continents are Africa, Antarctica, Asia, Australia, Europe, North America, and South America. The world map is divided into five major oceans, which are the Atlantic, Pacific, Indian, Southern, and Arctic. Other projections, such as the Robinson projection or the Winkel Tripel projection, attempt to minimize these distortions and provide a more accurate representation of the Earth's surface. The most commonly used world map projection is the Mercator projection, which distorts the size of land masses at the poles, making them appear larger than they actually are. World map shows the continents, countries, oceans, seas, rivers, mountains, and other geographical features. Choropleth world maps use colour complexion and depth to highlight differences among regions like economic and demographic figures. Geological world maps display not only the Earth’s surface, but features of the underlying rock, subsurface structures, and fault lines. Physical world maps show geographical aspects like soil type, mountains, land use, rivers, landforms, plateau, peaks, lakes, etc. Political world maps highlight territorial borders and human town-centre or settlement. World Maps commonly show either physical features or political features. Awareness of the surface of the earth increased speedily with exploration that started at the time of the European Renaissance and many of the coastlines of the world had been diagramed, slightly roughly, by the time of the mid 1700s and the global interiors by the 20th century. From early history to the Middle ages, charting a correct map of the world would have been impractical because fewer than half of the coastlines of earth and only a tiny portion of its global interiors were recognized to any civilization. Plotting a world map needs comprehensive knowledge of Earth, its continents, and its oceans. Various approaches have been created and used to show world maps that deal with artistic and distinct technical goals. Although this is true for all maps, these disfigures become highly noticeable in a map of the world. World maps carried out in 2D (two dimension) by requirement disfigure the presentation of the 3D (three dimensional) image of earth’s surface. World maps face the issue of projection due to their scale. A world map is a representation of Earth which shows the maximum or entire surface of the earth. Understanding electricity and magnetism allows us to understand behavior at all physical scales, helping to explain physical phenomena ranging from why protons and electrons are attracted to one another in atomic nuclei to how light can be generated by the motion of charged particles. Ultimately, the electric and magnetic fields represent the way in which charged particles interact with one another, just as celestial bodies gravitationally attract.Īs we shall see throughout the remainder of this post, charged objects are both affected by the presence of these fields and capable of creating new ones, thereby tethering the seemingly intangible fields to physical objects which fall into our standard, observational reality. Electric charge $Q_e$ and magnetic charge $Q_m$ will feel forces from the various fields, thereby allowing us to measure them. Mathematically, we represent them as vector fields, basically arrows (each with their own magnitude and direction) at each point in space. The electric and magnetic fields, which are measures of the strength of electric and magnetic forces, permeate the space all around us. IntroductionĮlectricity and Magnetism are among the most fundamental forces of nature. More than anything, the purpose is to imbue the reader with some of the physical intuition behind electromagnetism. Example: Calculating the wavelength of a light wave What is the wavelength of this wave We can start with our equation that relates frequency, wavelength. Here, I aim to delve into the fundamentals of electromagnetism, with the goal of making this post accessable to those who may not have a particularly strong mathematical background while including enough analysis so that it may be useful and interesting to those who do. I was quite proud of my response (and it earned the highest grade in the class), so I have included it here in an effort to convey my passion for these elegant, and profound, equations. Our responses were not supposed to be steeped in derivations or overly sophisticated equations, but were instead supposed to build intuition. S x y z dr dx dy dz ds ds ds ds ds length element along curve let’s consider some very simple examples. A reminder on differential line elements. In words, the change in the optical path along the path is given by the gradient in the index of refraction. Jim Fujimoto, who pioneered optical coherence tomography.ĭescribe the Physics behind Maxwell's Equations.ĭeceptively simple, the prompt was designed to encourage me and my peers to think more about the physical implications of the well-known Maxwell’s Equations, which detail the behavior of electromagnetism, one of the fundamental forces of nature. of the light, this differential equation governs the path taken. The original motivation for this post was the first homework prompt I encountered in graduate school at MIT, while I was taking a course on linear optics: |
AuthorWrite something about yourself. No need to be fancy, just an overview. ArchivesCategories |