We use the same initial conditions.ĭescribe the pendulum motion corresponding to Pendulum Trajectory 3. Now we change b to 0.2 (and leave the other coefficients alone).Here is the trajectory corresponding to the same coefficients as in Step 1, but now with initial conditions u 0 = -3, and v 0 = 5.ĭescribe the pendulum motion corresponding to Pendulum Trajectory 2.(b) For each of the points A - F on the trajectory, describe the motion of the pendulum at the corresponding time. (a) In what direction is the trajectory being traced out? To the coordinates of points on a trajectory. This enables us to give a straightforward interpretation On the horizontal axis and its derivative (in our case v = d /DT) OneĪdvantage to the approach we have used is that the phase plane plots the dependent Of defining the new dependent variables u and v when creatingĪ system corresponding to the original second-order differential equation. We use numerical methods to plot the direction field and the trajectory in the phase plane. We'll begin with b = 0 (no damping), u 0 = -3, and v 0 = 0 (zero initial velocity). We'll use units of meters and seconds, so we may take g = 9.807. This is important since the presence of the sine in the equation makes it impossible for us to obtain a symbolic description of the solution. Now we can apply our numerical methods for a system to describe the solution of this problem. With initial conditions u(0) = 0 and v(0) = v 0. Values so that the new initial value problem is equivalent to the original problem. We will construct a system of first-orderĮquations in the dependent variables u and v and assign initial So suppose we have an initial value problem consisting of the pendulum differential equation together with initial conditions However, for our immediate purposes all we need is the differential equation itself. To see more detail on the derivation click here. The statement itself is a consequence of Newton's Second Law of Motion. Here is the angle the pendulum has moved from the vertical, L is the length of the pendulum, g is the acceleration due to gravity, m is the mass of the pendulum, and b is a damping coefficient. In order to have a particular example, let's consider the second-order equation describing the motion of of a pendulum. Angular acceleration / displacement / frequency / velocity Scientists Physics portal Category v t e A pendulum is a body suspended from a fixed support so that it swings freely back and forth under the influence of gravity. In particular, it enables us to use first-order numerical methods to approximate the solution of a second-order initial value problem. Such nonlinear differential equations could arise in diverse fields, such as acoustic vibrations, oscillations in small molecules, turbulence and electronic filters, among others.Systems of Differential Equations: Models of Species InteractionĪppendix: Second-Order Differential Equations as Systems Every second-order differential equation may be considered as a system of two first-order equations. This approach may also be profitably used by specialists who encounter during their investigations nonlinear differential equations similar in form to the pendulum equation. Pendulum Equations A simple pendulum consists of a single point of mass m (bob) attached to a rod (or wire) of length and of negligible weight. The treatment is intended for graduate students, who have acquired some familiarity with the hypergeometric functions. We also compare the relative difference between T(0) and T(θ 0) found from the exact equation of motion with the usual perturbation theory estimate. The exact expressions thus obtained are used to plot the graphs that compare the exact time period T(θ 0) with the time period T(0) (based on simple harmonic approximation). The time period of such a pendulum is also exactly expressible in terms of hypergeometric functions. A new and exact expression for the time of swinging of a simple pendulum from the vertical position to an arbitrary angular position θ is given by equation (3.10). In this paper, we provide the exact equation of motion of a simple pendulum of arbitrary amplitude. By using generalized hypergeometric functions, it is however possible to solve the problem exactly. The motion of a simple pendulum of arbitrary amplitude is usually treated by approximate methods.
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Annotating chartsĪltair also allows you to annotate your charts with text, images, and emojis. Notice how the custom colors are still reflected in the chart, even when the Streamlit theme is enabled □įor many more examples of Altair charts with and without the Streamlit theme, check out the. # Bottom panel is a bar chart of weather typeĬolor=alt.condition(click, color, alt.value("lightgray")),Ĭhart = alt.vconcat(points, bars, data=source, title="Seattle Weather: 2012-2015") Size=alt.Size("precipitation:Q", scale=alt.Scale(range=)), # Top panel is scatter plot of temperature vs timeĪlt.X("monthdate(date):T", title="Date"),Ĭolor=alt.condition(brush, color, alt.value("lightgray")), # - a multi-click that is active on the bottom panelīrush = alt.selection_interval(encodings=)Ĭlick = alt.selection_multi(encodings=) # - a brush that is active on the top panel Range=,Ĭolor = alt.Color("weather:N", scale=scale) Here's an example of an Altair chart where manual color passing is done and reflected:ĭomain=, For example, if you want a chart line to be green instead of the default red, you can do it! In other words, although we now enable the Streamlit theme by default, you can overwrite it with custom colors or fonts. If you're wondering if your own customizations will still be taken into account, don't worry! You can still make changes to your chart configurations. St.altair_chart(chart, theme=None, use_container_width=True)Ĭlick the tabs in the interactive app below to see the charts with the Streamlit theme enabled and disabled. St.altair_chart(chart, theme="streamlit", use_container_width=True) Let's look at an example of charts with the Streamlit theme and the native Altair theme: import altair as altĬhart = alt.Chart(source).mark_circle().encode( To disable it, and use Altair's native theme, use theme=None instead. The Streamlit theme is available from Streamlit 1.16.0 through the theme="streamlit" keyword argument. The added benefit is that your charts better integrate with the rest of your app's design. This theme is sleek, user-friendly, and incorporates Streamlit's color palette. Altair charts are displayed using the Streamlit theme by default. This is a rectangular prism which should be referred to as a cuboid. This 3D shape is a type of prism.Ĭ) i) For neither (polyhedron): This is an irregular polyhedron or a compound solid***. The cross-sectional areas are congruent as shown by these yellow rectangles. Imagine the net folding up into a 3D shape. The faces are not the same they are different size rectangles. The 3D shape it will form is therefore a polyhedron.Ģ Identify if all the faces are the same regular shape. What 3D shape can be formed from this net?Īll the 2D shapes that make up this net are polygons they are all rectangles. Ii) For neither (non-polyhedron): those needed to be named on the GCSE syllabus are spheres and hemispheres.Įxample 1: naming a 3D shape from its net I) If yes, this is one of the Platonic solids (tetrahedron, cube, octahedron, dodecahedron or icosahedron).Ī) a pyramid or cone (3D shape with a base, an apex and similar cross-sectional areas).ī) a prism or cylinder (3D shape with congruent cross-sectional areas).Ī) For pyramids: the name of the base shape often forms the name of the 3D shape.ī) For prisms: the name of the cross-sectional area often forms the name of the 3D shape.Ĭ) i) For neither (polyhedron): This is an irregular polyhedron or a compound solid. Identify if all the faces are the same regular shape.Ii) a non-polyhedron (includes a curved surface) – go to step 3. I) a polyhedron (all flat polygonal faces) – go to step 2. In order to categorise and name a 3D shape: We can find different basic shapes such as the two-dimensional square, rectangle, and oval or the three. So a frustum can also be described as a truncated pyramid or truncated cone. Everything we see in the world around us has a shape. The mathematical term for ‘slicing off an apex’ is ‘truncating’. If the apex of a pyramid or cone is sliced off then the remaining shape is known as a frustum. However, unlike pyramids, cones do not have sloping triangular side faces but instead they have a curved side surface. Their cross-sectional areas are similar circles. The cross sectional areas of both right pyramids and oblique pyramids are similar to each other.Ĭones can be described like pyramids they have a circular base shape and an apex. This is illustrated in the diagrams below. If the apex of the pyramid does not lie directly on top of the centre of the base, the pyramid is an oblique pyramid. If the apex of the pyramid lies directly on top of the centre of the base, the pyramid is a right pyramid. The lateral edges may be different in length.įor all types of pyramids the cross sectional areas are similar to each other as illustrated in the diagrams below. The base shape of an irregular pyramid is an irregular polygon (a 2D shape with straight sides which vary in length). The base shape of a regular pyramid is a regular polygon (A 2D shape with straight equal sides).Īll the lateral edges (edges leading from the base to the apex) are equal in length. It has triangular side faces which slope to meet each other at the apex. Architects use shapes to construct houses and skyscrapers.A pyramid is a polyhedron that has a flat polygonal base and an apex.Every time the Nile burst its banks and flooded the planes, they had to use geometry to measure their gardens and fields all over again. The ancient Egyptians from over 4000 years ago were very good at shapes and geometry.The problem asks for the following shapes: circle, trapezoid, square, rectangle, rhombus and hexagon.This exercise is easy to attain accuracy badges, but speed badges are hard because the shapes are not necessarily regular (so user has to actually count the sides) and they may have to select up to all five options. Ideally this should indicate exactly which if any shape was actually selected. Incomplete check the newsgroup thread for later information. Select all of the type of shape: This problem specifies a shape and asks the student to select all of that type of shape from the multiple select list. Name of shape(s) in a Selection (name) Curious that you can have multiple shapes selected (Shift+click on shape), but for a single shape you cannot get a unt.There is essentially one type of problem in this exercise: ThisĮxercise introduces the names of basic geometric shapes and practices recognizing some of their defining characteristics. The first instance of Name shapes 4 is under the Early math Math Mission. Getting enough sleep can help you manage your body weight. Check the nutrition facts label for serving sizes and number of calories, and consider portion size. To learn how many calories you consume regularly, write down the foods you eat and the beverages you drink, plus the calories they have, each day. If you reduce the variety of foods in your diet, you could exclude vital nutrients or not be able to stay on the diet over time. Click on the results to see recommended daily amounts of fruits, vegetables, protein, dairy, and grains for adequate nutrition at your calorie level.Ĭonsuming a variety of healthy food is better than eliminating one type of food such as carbohydrates. MyPlate Plan calculates the number of calories needed per day to maintain your current weight based on your age, sex, height, weight, and physical activity level. Food and NutritionĬounting calories all the time is not necessary, but it may help to see how many calories you need. In contrast, people who have obesity, compared to those with a healthy weight, are at increased risk for many serious diseases and health conditions. doi:10.1111%2Fobr.Managing your weight contributes to good health now and as you age. Effect of exercise training on weight loss, body composition changes, and weight maintenance in adults with overweight or obesity: An overview of 12 systematic reviews and 149 studies. Resistance training effectiveness on body composition and body weight outcomes in individuals with overweight and obesity across the lifespan: A systematic review and meta‐analysis. A high protein diet (3.4 g/kg/d) combined with a heavy resistance training program improves body composition in healthy trained men and women-a follow-up investigation. Strength training and body composition in middle-age women. doi:10.1007/BF03262301īurrup R, Tucker LA, Le Cheminant JD, Bailey BW. What are the main running-related musculoskeletal injuries? A systematic review. Lopes AD, Hespanhol Júnior LC, Yeung SS, Costa LO. Effect of high-intensity interval training on total, abdominal and visceral fat mass: A meta-analysis. High-intensity interval training: A review of its impact on glucose control and cardiometabolic health. PMID:25905303Ĭassidy S, Thoma C, Houghton D, Trenell MI. The role of non-exercise activity thermogenesis in human obesity. National Institute of Health, National Library of Medicine. Moderate walking enhances the effects of an energy-restricted diet on fat mass loss and serum insulin in overweight and obese adults in a 12-week randomized controlled trial. Intervening on exercise and daylong movement for weight loss maintenance in older adults: A randomized, clinical trial. Want to lose weight? Build muscle.įanning J, Rejeski WJ, Leng I, et al. The role of exercise and physical activity in weight loss and maintenance. Swift DL, Johannsen NM, Lavie CJ, Earnest CP, Church TS. Cardiovascular effects and benefits of exercise. Effectiveness of weight loss interventions-Is there a difference between men and women: A systematic review. Williams RL, Wood LG, Collins CE, Callister R. When you hear the scary theme music kick in, that's when you should be fully ready for battle. That way you'll be prepared for both combat strategies. Predator’s Apartment is in the northeast of Hunter’s Haven. We’ve pinpointed its exact location on the map below. It goes without saying that you should secure weapons as well, so try to loot something that's very powerful up close and a sniper that can shoot from a distance. Predator’s apartment is in the northeast corner of Hunter’s Haven. Share to Facebook Share to Twitter Share to Linkedin Here's where to visit Predator's apartment in Hunter's Haven. Others have found him to the northeast as well, so you might need to walk around the northern part of Sneaky for a bit. Jan 20, 2021,11:54am EST Listen to article This article is more than 2 years old. More specifically, we found Predator most consistently by hanging around its Mysterious Pod in the northwest corner of the location. You'll find the Predator in the Stealthy Stronghold POI, but unlike other NPC characters and bosses, he will definitely be moving around a lot. Once you go inside, you'll discover multiple clues that you've just arrived at Predator's abode. Unlike Wolverine, Predator always stalks the clearly defined location of Stealthy Stronghold. Predator's apartment in Hunter's Haven location Head to the northeast side of Hunter's Haven, and you'll find Predator's apartment here. Thankfully, this one isn't nearly as frustrating to find as the Wolverine boss that enraged players during Season 4. The main step to unlocking the Predator Battle Pass skin is defeating the Predator boss on the Battle Royale map. Visit Predators Apartment in Hunter's Haven as Predator Location in Fortnite. Defeating the Predator will unlock the new Predator skin, so that you can truly hunt down other players in style. How to unlock Predator Emote Bio-Helmet Online Emote in Fortnite. It's time to go alien hunting, so bring your best gear. The Predator is the latest bounty hunter to appear in Fortnite Chapter 2 Season 5. In this guide, we'll tell you how to defeat Predator and find its apartment in Hunter's Haven. Fortnite's Jungle Hunter Challenges became fully available Wednesday morning, introducing the Predator as a boss and unlockable skin on the Battle Royale map. This tool is one of the most important tools you have! Play with the little triangles you’ll see in the two grey gradients and watch their effect on the image. Make sure you have selected the plasma layer’s mask and open Layers → Colors → Levels. Now you’ll see that the image of the logo isn’t very sharp. with the help of the bucket fill tool) and use Raise Layer or Lower Layer from the layer dialog menu to achieve something like this: Now add a new layer and fill it with some color (e.g. This will leave you with the following scenario: Adjusting the levels ¶ Use the layer dialog menu to Anchor Layer, which will anchor the floating selection into the previous activated layer (which is the mask of the plasma layer in our case). You will again get a floating selection, shown in the layer dialog like this: Make sure you have the mask of the top layer selected and the layer is activated. It’s enough that you activate it in the layers dialog.) Now do Edit → Copy. (you don’t have to make the layers on top invisible to work on this layer. You can toggle whether a layers mask or the actual picture is active by clicking on their previews in the layers dialog. Nothing will change on the image for now, but the layer dialog will look like this: Now (still on the plasma layer) choose Add layer mask from the layer dialog menu. You can play with the other parameters, but they have sensible defaults. It’s getting funny now: Use the bumpmap plugin with the blurred text layer as a bumpmap on the plasma layer. The layer dialog should look something like this now: Bumpmapping ¶ Use the plasma plugin to make this layer a little colorful: Filters → Render → Noise → Plasma (Yes, you are invited to experiment with the parameters…). At the end, leave the new white layer visible and active. Click some times on the eye symbol to see how you can make a layer invisible and make the other layer active by clicking on its small preview in the layer dialog. It will be active which can be seen from the fact that it has a blue background in the layers dialog. It will be created above the just made text layer effectively hiding it. Now add a new layer to the image with the help of the New Layer button in the layers dialog. Adding colors ¶įirst of all: Blur the image a bit using Filters → Blur → Gaussian Blur (a value of 5 may be a good start). Using Colors → Invert you will achieve something like the picture above. You should now have one layer with black text on white background. Then merge it with the white layer below by choosing Merge Down from the Layer menu. You can use the move tool to move the text where you like to have it. You will get a new text layer which you can also see if you look at the layers dialog. Start with a plain white picture, black as the foreground color and open the layer dialog! Adding text ¶ What we want to achieve in this example is to generate a 3-dimensional text logo flying (and movable) over the background (a simple uni-color layer in our case, but you will easily see that you could use any other (stack of) layers/images instead. On this page, the first section of our ever growing (?) collection of tutorials, I will demonstrate the basic operation you will need to perform over and over again in your life as a computer artist: Generate isolated parts of a picture and combine them with a random background. Text and images Copyright (C) 2002 Jens Lautenbacher and may not be used without permission of the author. Exteriors also look a lot stronger thanks to redone texture work on everything. Light sources look more organic on things like street lamps and interior lighting allows for areas like floor tiles to have a realistic shine that wasn’t there before. It’s visually jarring and takes you out of things a bit.įortunately, the lighting as a whole has been improved as has the visual design as a whole. They’re just there or completely with no real transition from one to the other. They will disappear behind pillars as they should, but not smoothly. Now, things like mountains are given more texture work, but the trade off seems to be that trees can still pop in with minimal warning and there are also issues with lights sometimes appearing just a bit odd in tunnels. A decade ago, the more limited hardware did lead to this being more of an issue, causing things like lower-resolution textures to be used or re-used to fill up a space. Similarly, there’s a bit of pop-in that just looks odd to the eye. It’s strange to have a mixed bag for this kind of thing and hopefully it’s something that a patch can fix up. Now that’s reduced even if the faces themselves have been given more detail overall. It added an air of intimidation and fear. Given the mafioso-heavy cast of characters, there was a lot added in a facial expression where someone just locked eyes and wouldn’t stop. Now, that can still happen, but you’ll also have characters just stare blankly towards nothing in particular. There, you could see characters move their eyes towards another character off-screen - and it added a bit of tension to the story. The original game was prone to having a few issues here and there, but they’re more pronounced now and the redone assets haven’t been tweaked with the same level of care as the original game. While the CG story portions are even better now, there are glaring issues with the remaster in its early days. Not everything has made the transition seamlessly, though. That remake isn’t due until the summer, so until then, players can be tided over with the Definitive Edition of Mafia III that gets you all the DLC or the Definitive Edition of II which gets you all of the DLC and some revamped assets. The recent announcement of the remaster for the game alongside a full-on remake of the first was met with a lot of excitement. It was a bold game that has largely stood the test of time. The story went back and forth from different points in his life and between the game’s ability to capture the ’40s and ’50s and doing beyond what many open-world games did even now when it came to hand-to-hand combat. He’s a good man at heart, but he does bad things to make ends meet and try to provide a better life for his family. It followed up on the stellar original with a new plotline that dovetailed into the original game’s ending and explored the world of Vito Scaletta. The original release of Mafia II was met with a ton of critical acclaim a decade ago. It has a large selection of ringtones from a wide range of genres and sorts. Zedge is a popular ringtone and notification tone application. It strikes the majority of the proper notes and is an excellent choice for creating your own ringtones. 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Set up routines: Nest Cam with floodlight works with your other Nest speakers and displays, so you can control the lights with your voice.In the Google Home app, Nest Cam with floodlight can be controlled like a smart light: adjust brightness, motion sensitivity, what the lights turn on for and how long - or manually turn the lights on or off with just a tap. Ambient light you can control: At 2400 lumens, the lights are bright enough to illuminate your patio or front yard in the middle of the night.The floodlights also illuminate the scene, which makes for a clearer image in the dark. It’s optimized to give you a clear view and be your extra set of eyes where you need them. Your extra set of eyes: In addition to being powered by Nest Cam’s intelligence and delivering 1080p video with HDR, Nest Cam with floodlight is equipped with 180-degree motion sensors to detect movement.It also has local storage fallback, meaning the camera will record up to an hour of footage (about a week’s worth of events) on-device if the power or internet go out, and when service returns you’ll be able to view your clips in the Google Home app. Enhanced by Nest Cam features: Nest Cam has built-in intelligence and on-device processing, meaning more features are available right out of the box that used to require a subscription - for example, animal, vehicle and person detection and the ability to create Activity Zones.In the app, you can adjust the brightness of the lights, turn the floodlight on and off manually or control what kind of events turn the floodlight on. Built for the Google Home app: Like the new battery-powered Nest Cam and Doorbell, Nest Cam with floodlight is built exclusively for the Google Home app.We’ve created a step-by-step video as part of the setup process in the Google Home app to make installation a breeze, but you can also enlist the help of a Pro if you need a hand. It comes with what you need to upgrade your existing exterior light right in the box. Replace your existing lighting: Install Nest Cam with floodlight where you have an existing exterior light or wiring.For example, set an activity zone so it lights your way when you pull into your driveway. Instead of the light switching on and off for activity that you don’t care about, you can select the types of activity that your floodlight turns on for, such as when a person, animal, or vehicle is detected. A smarter floodlight: The floodlight is controlled by the smarts of the camera (rather than motion sensors alone) to light up the scene and capture important activity.The device is hardwired for continuous power and provides the option for 24/7 continuous video history (with a Nest Aware Plus subscription). Two of a kind: Nest Cam with floodlight combines our newest camera technology with a high-quality LED floodlight.Here are 11 things to love about the newest nocturnal Nest Cam. It’s designed to work exclusively with the Google Home app, so you can check on home or control your floodlight from anywhere. Meet Nest Cam with floodlight, available today for $279.99. So when Nest set out to build our first connected floodlight, we wanted to integrate the smarts in our new Nest Cam to create a more helpful floodlight camera - one that turns on when activity is detected, and can be easily installed and replace an existing exterior light fixture. But traditional floodlights are activated purely by motion sensors, which can be helpful when you’re walking outside in the dark, but not so much when a moth is flying in front of the light. A floodlight does two great things for your front porch: It creates ambient light that welcomes family and visitors to your home - and it deters unwanted guests. There must have been a bug for a limited time so earlier and later imports were not affected. All other DNGs created in Lightroom by converting RAFs are fine. I also know that I processed some of these DNGs in Lightroom Classic when I still had a subscription and saw no problem then. Clearly there is something in the files that is ignored by some raw processors but not others. Strangely Snapseed on my Android phone and on my iPad does not exhibit the problem, nor does Lightroom on my iPad (don't need paid Adobe CC account to use it there). Those all on Windows but I checked dt and RawTherapee on my Linux laptop as well both purple. They are purple when opened in RawTherapee and a JPEG converted from DNG using Faststone Image Viewer is also purple. Jaw-dt I'm running dt 3.2.1 on Windows 10 but this is not a dt problem, the DNG files are corrupted in some way. I'm hoping that someone can suggest a colour correction recipe that can help me rescue these files, particularly the ones where JPEGs are black and white, so I can have colour versions too. The screenshot from Darktable shows thumbnails of some of these files along with JPEG versions (I had been shooting RAW+JPEG), some black and white and some colour. All was fine as long as I used Lightroom but I have now discovered that all the DNG files created from an outing in 2018 were corrupted by a bug that resulted in them having a purple tint. As a Lightroom user I chose a setting to automatically convert imported RAW files to Adobe's DNG format AND foolishly didn't choose the option to preserve the original RAW within the DNG files as this would have resulted in much larger files. I use a FujiFilm X-E1 camera that produces RAF raw files. I would appreciate any advice you can give. I have only recently started using Darktable so not able to figure this out myself, but I'm sure there must be a way to apply some correction to remove a purple tint from a number of DNG image files. |
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