Or skip your favorite early-morning show—whatever it takes to grab a few more minutes of sleep each day. When researchers at the University of Chicago studied men who were sleep-deprived, they found that after just a few days, their bodies had a much harder time processing glucose in the blood—a problem common in overweight diabetics. When the individuals returned to a more normal seven to eight hours of sleep a night, however, their metabolisms returned to normal.
Why our programs get you fast results - safely. Fad diets don't work. Often fad diets are referred to a yo-yo diets because your body weight goes up and down with each and every fad diet you try. You may take the weight off (sometimes with unpleasant side effects) but, you don't have the tools to keep it off for good so your weight goes back up. With Herbal Magic, you will lose weight quickly, safely (with no unpleasant side effects) and keep it off. Each Herbal Magic weight loss program combines real food, personal coaching, and natural health products. It is the combination of these important elements that gives you weight loss results, quickly and safely. There are three steps to help you lose weight and keep it off, for good: We'll give you the tools to achieve: Fast, healthy weight loss Keeping the weight off Your personal goals We will provide a customized weight loss solution that will provide fast, long-lasting results for you. Guaranteed! Related sites with real life stories: http://imgur.com/a/4kKNf"
About: Andie’s well-known for her New York Times bestselling memoir “It Was Me All Along” where she chronicles how she lost 135 pounds 10 years ago. But it’s her blog that drew us to her for this list, especially considering that she’s managed all this time to KEEP that weight off. Andie also wrote a cookbook, “Eating in the Middle,” featuring (mostly) healthy recipes. Plus, Andie’s blog is chock full of healthy recipes too (and the occasional indulgence), lessons she learned while losing weight and how she transformed her relationship with food and her body.
“I started my 78-pound weight-loss journey by tracking everything I ate with the Lose It! app. I track right after I finish because if I wait until later, I don’t always remember. Sometimes I’ll even record before I eat, so I know if I have enough calories for the day. That, paired with daily weigh-ins helps to keep me accountable.” —Kari Hammond, 42
Well, I should begin on the child hood years.  As a child I was not over weight.  I was pretty active as a child, my weight didn’t go up till I hit puberty.  I guess all that candy and soda caught up with me.  However when I hit about 15, the weight came back off, I was a cheerleader in the fall, and I played softball in the spring,and did a lot of other activities in between.  Then when I hit 18 I really started to work out.  I kind of got obsessed, I was working out to Carol Alt’s VCR tapes (remember VHS tapes?) and I got into the best shape ever.  I am 5’11 and made it to 135 lbs, not too shabby.  However, I didn’t eat that much and felt horribly guilty when I did eat.  Not good!  Honestly I don’t know what happened after that, to why I stopped working out that is.  I guess that’s when I hit age 20.  The discovery of pizza, beer, bars, guys and friends.
It's not just what you eat that can make you pack on pounds—it's also how much. Before dropping 102 pounds, DeGennaro did not have a grip on proper serving sizes. "Sitting down to dinner with my husband and three kids, I'd scarf down mounds of pasta and endless rolls," she says. "Adjusting to smaller portions was tricky at first; I'd round out meals with extra veggies to keep from getting hungry."

I’ve learned a ton about health and fitness – specifically weight loss and motivation – over the past several months. So much so that I’ve recently become a personal trainer so that I could help others reach their health and fitness goals as well. I’m super excited about this new found passion and can’t wait to start helping more people. If you have any questions about this program or any other exercise program please don’t hesitate to ask – I’m here to help.
When you want to turn your diet around, don’t focus on the idea of restriction, Zeratsky says. Instead, think about the foods you can eat and how you can manage your hunger. “Eat foods that are more filling and have more water, like fruits and veggies, which will help your stomach respond to the weight to food,” she says. Plus, they’re low-cal and you still need that calorie deficit to drop belly fat.
Most people who want to lose weight have more than 12 pounds to lose. That’s why even the best weight loss drug in the world can only be an optional complement to other treatment. That’s why this piece of advice is number 18 out of 18. It may be a helpful addition for some people, but the advice higher on the list is what can make the biggest difference, by far.
You don’t have to go low-carb to ditch those extra pounds around your waist in a short period of time. In fact, opting for more whole grains might just get you there faster. Researchers at Tufts University have linked eating three or more daily servings of whole grains to as much as a 10 percent reduction in visceral body fat, the kind that ups your risk for chronic diseases, like diabetes, heart disease, and high blood pressure.
First, eliminate or seriously cut back on the fake foods. When possible, choose real foods instead. Among weight loss tips, this one is absolutely essential. That means an apple instead of apple juice, orange slices instead of something orange-flavored. If you’re craving something, skip the no-fat version that will likely leave you wanting more, and instead measure out a serving instead so you can enjoy the food without going nuts.
What should you eat after working out? Exercise is beneficial for overall health. To get the most effective exercise, it is necessary to have good nutrition. There is a range of things to eat right after a workout that will help in specific fitness goals. It is also essential to eat to recover energy levels. Learn more about what to eat after a workout. Read now

Try storytelling and sharing personal insights. This is where you get to describe genuine stories that are taking place in your life (related to weight loss, obviously). People love stories, and it’s the ultimate way to prove that you are real. If people can relate to what you’re saying, they will surely pay attention. Make every post you publish personal to some degree.
Tina, that’s awesome. You said some things that rang true for me. At 53 years old, I was exercising plenty, but I love to eat! I was not good at portion control. personally I had to start intermittent fasting. I’ve lost ten lbs in the first few weeks, but have hit a plateau. What I am doing now is going more paleo, modified paleo. I also need to have more discipline in staying the course on exercising, which I love to do, but work often gets in the way. I came across a fitness /diet routine that is one of the most popular in the country , at the moment https://bit.ly/2LTeGBG, looks pretty good. Really it’s not rocket science, although we in the west make it hard. Eat whole foods in moderation, get enough rest, reduce stress, and exercise, not insanely, but regularly. Aerobics and some form of weight bearing exercise seems to be the best combination.
Hidden carbs, especially when dining out. Carbs in condiments can be an easy way to consume a spoonful of sugar. To avoid this trap, carefully read the labels of sauces or avoid them altogether–flavorings, dressings, marinades, and other condiments. Be also cautious of thickeners–flour, corn starch, and other high carb items are commonly-used ingredients to thicken soups and sauces.

The best way to get rid of belly fat is a combination of strength training and cardio. The cardio will help burn fat from all over your body, including your belly, while the strength training will help you build more muscle, which burns more calories at rest than fat does. For weight loss, aim to fit in at least 300 minutes of cardio per week and at least two strength-training sessions.
1) The amount of fat your body can burn is limited to about 2 pounds per week. With this in mind, it is realistic to set a goal of losing 10 pounds of fat in 5 weeks. Or even 20 pounds in 3 months - provided you adjust your weight loss diet and workout routine for the plateau periods. But you have to make sure that you absolutely follow a smart, well-structured plan.

Karol K. teaches how to save on the popular Flex Belt, and discusses the basics of TRX training (learn more). He contributes articles on fitness training, working out, and losing weight in general. He also enjoys writing occasionally for WeightLossTriumph. He’s a fan of healthy living and being in shape no matter what. In his personal life, he proves that one doesn’t have to struggle to be healthy.
Consider reducing the volume of added fat to test the effect on your weight. Just be sure to notice any changes in hunger as you experiment. If you find yourself hungry, you’ve reduced your fat intake a bit too much. If your hunger remains unchanged, you’ve either found just the right amount or you can experiment with further reducing your fat intake.
Try the paleo diet. Back when cavemen still ruled the earth, they didn't have time to bake cupcakes or fry potato chips. The paleo diet (short for paleolithic) seeks to recreate the same diet that our early ancestors ate, claiming that our systems are not built for modern ingredients and cooking styles. You eat meat, vegetables, fruit, and other foods that would have been available back then, and avoid anything paleo people wouldn't have had.
Remember that these are all perfectly understandable evolutionary design features. Higher estrogen levels during puberty drive fat gain as an energy reserve in case you get pregnant. During early pregnancy, they go into overdrive to “stock up” for the approaching challenge. Your body still hasn’t caught up to the 21st century; it still thinks its job is to keep you (a) alive, and (b) fertile in an environment of extreme food scarcity and a constant threat of famine. So storing extra fat at every opportunity makes perfect sense: back in the day, it could have meant the difference between life and death (or a healthy baby and a miscarriage).
I learned (and am still learning) to GIVE MYSELF GRACE. This is something I will probably work on my entire life. It’s humbling to know that even when I work so hard, I will fall short and miss the mark because I am human. With that in mind, I must forgive myself and love myself. It's important to keep my head up and remind myself that the tiny baby steps lead to progress.
I am trying to lose AT LEAST 10 pounds in the next 2 weeks. I have been trying to lose 20 pounds for 3 months now and have only lost about 5 pounds. Whenever I lose weight I always end up gaining it right back. I don’t know what to do anymore. I don’t want to look good (even though that would be a bonus) but I just want to be happy with myself… I am 18, 122.4 pounds, and 5’1″. I eat healthy, I bike, run, or do step aerobics for 45-60 6 times a week for the past 3 months, and lost only 5 pounds… Help! Please!!
You snack on fruit, count calories, and get some form of exercise most days. So when you step on that scale and the needle stays put, you wonder what the heck you're doing wrong. Even with clean eating and  good fitness habits, you may be making a few small mistakes that can lead to a plateau and derail your results. Here's how to upgrade your already-healthy habits to finally reach your get-slim goal. (Snack AND lose weight with this box of Prevention-approved treats from Bestowed.)

As explained below, the folks who did the NuSI metabolic ward study committed 2 errors.  The first was a design flaw: the low fat diet was administered first to all 17 study subjects, and then they were given the ketogenic diet for the second month.  In a well-designed trial, the diet sequence would have been randomized.  The second flaw in the study was that these scientists underestimated their subjects daily energy needs by about 300 kcal/day – a 10% error.  The combination of these two flaws would predictably tilt the playing field against seeing a significant increase in energy expenditure during the ketogenic phase of this study.

Hello I have suffered from hypothalmuc ammenorhrea since my early teens and I never had a natural period. Unexplained condition where my pituary and hypothalamus did not communicate. I was not underweight. I was put on birth control to prevent bone loss since I do not produce estrogen. I had a child through IVf 2 years ago and I am back on birth control. Marvelon and combo estrogen and progesterone. I am able to follow this plan? I am at a plateau with my weight loss since starting the pill
Soon after the ski trip, I left my desk job to pursue graduate school and took a part-time job working at the front desk of an upscale health club. One of the perks was a free membership, which was the motivation I needed to take control of my weight. I started exercising at the health club most mornings, taking Body Pump and spinning classes on a regular basis. Finding workout buddies helped too. I made some new friends who were avid runners and I began training for and participating in road races with them.
Avoid sweetened drinks. Drinks that are sweetened, whether artificially or naturally, will have little nutritional value and add lots of empty calories to your diet. Do not drink fruit juice or other sweetened drinks. Even natural sugars will increase your daily calorie intake and prevent weight loss. If you chose to drink juice, do not exceed 4 oz per day (1/2 cup). Instead of drinking sweetened beverages throughout your day, drink unsweetened, calorie-free beverages. Some beverages to avoid include:
About: The truth is we all love a good success story — they show us what other people, real people that went through the same things we did, were able to achieve. They also give us ideas on how we can kickstart our own weight loss journey and succeed. The Weigh We Were is a one-stop shop for all those stories, real stories from other people who lost weight, plus how they did it. It’s just the place to get ideas from similar people to see what might work and what won’t.
About Blog At Physicians Weight Loss, weight loss program includes a number of weight management resources, such as vitamin supplements, B-12 injections, HCG diet and shots, nutrition and exercise programs, nutrition counseling and meal planning, and long-term weight loss maintenance. On their blog, they share weight loss product reviews, success stories, diet plans and much more.
Try this interval-training trick on the elliptical trainer: Ride for 30 seconds as fast as you can, then immediately reverse your direction and ride for 30 additional seconds just as fast in the opposite direction. Rest 60 seconds, and repeat. The force of stopping your momentum, as well as going from a dead stop to full speed twice in the same interval, will give your fat-burning efforts a massive boost, says Alwyn Cosgrove, C.S.C.S.
Welcome to my blog! I do believe in trying to eat real food and I do try, key word is try to stay away from processed foods which I do most of the time. I didn’t know that about skim milk. I drink it, but not to much, just mainly in my morning coffee. It’s either that or coffeemate which is not healthy at all!! I just discovered coconut milk a few months ago and I love it!! It’s so creamy, and I try to incorporate it into my recipes. It may have more fat, but it’s a healthy fat that we all need!
Sure, you can lose weight quickly. There are plenty of fad diets that work to shed pounds rapidly -- while leaving you feeling hungry and deprived. But what good is losing weight only to regain it? To keep pounds off permanently, it's best to lose weight slowly. And many experts say you can do that without going on a "diet." Instead, the key is making simple tweaks to your lifestyle.
Hey Adam, I am 16 years old and weigh 156lbs, since April of 2013, I’ve been on a strict vegetarian diet. This dramatic switch in diet lead me to lose 50lbs over the next 6 months and I feel great. I’ve followed many dieting rules that include cheat day and exersising but, I have hit a wall, everything I do (switching starchy grains for high fiber veggies, more water consumption, etc.) isn’t providing the results that I want. Instead, my weight fluctuates between 156lbs and 159lbs and my goal is to be about 150. I need some advice on how to lose the last 10-ish pounds. Can you help me?
All posts and information provided within this website is for informational and educational purposes only, and is not to be construed as medical advice or instruction. No action should be taken solely on the contents of this website. Please consult your physician or a qualified health professional on any matters regarding your health and well being or on any opinions expressed within this website.
I love the idea of carb cycling and I tried it in the spring when I bought weight loss unlocked. With my Hashimoto’s condition, though, I really suffered during the low carb part of the cycle. I might try it again, and just do a lower carb diet during my last two weeks, but still keep it at 100-150g per day. It’s always a work in progress. Thanks for shedding more light on this!
Switch to Lighter Alternatives. Whenever you can, use the low-fat versions of salad dressings, mayonnaise, dairy products, and other products. "You can trim calories effortlessly if you use low-fat and lighter products, and if the product is mixed in with other ingredients, no one will ever notice," says Magee. More smart substitutions: Use salsa or hummus as a dip; spread sandwiches with mustard instead of mayo; eat plain roasted sweet potatoes instead of loaded white potatoes; use skim milk instead of cream in your coffee; hold the cheese on sandwiches; and use a little vinaigrette on your salad instead of piling on the creamy dressing.
About: Elizabeth’s list of credentials for writing the kind of blog that helps you stay healthy is a long one — she graduated with dual degrees in food & nutrition and mass communication & journalism, and has now dedicated herself to developing healthy recipes and tips for achieving a wholesome, balanced lifestyle. She also shares her own musings — and her stunning photography — to add a personal touch that connects with readers in a meaningful way.
Focus on cardiovascular exercise. Cardiovascular exercise is one of the best ways to lose weight. Studies show that cardiovascular exercise like walking, jogging, and running is highly effective at any degree of intensity.[24] That's because cardio/aerobic exercise works the muscles in your arms, legs, and hips, and increases blood flow to all sets of muscles.[25] Effective cardio exercises include:[26]

Scientists and nutrition experts like it too and are saying it’s the way of the future for losing and keeping weight off and new books and articles on the topic are being published daily including best selling books like ‘Eat Stop Eat’ and ‘The 8 Hour Diet’. Intermittent fasting is also popular with followers of the Paleo diet since our ancestors appear to have eaten this way for thousands of years.
Numerous studies have supported this, such as a 2007 study published in the International Journal of Obesity, which concluded that aerobic exercise like brisk walking is essential for visceral fat reduction, and a past study published in Environmental Health and Preventative Medicine found that women who walked less than 7,500 steps a day had more belly fat than those who met or exceeded that goal.
Faya Nilsson is a Personal Trainer and blogger for Fitness On Toast. Her blog was an honest place to share healthy and unusual recipes with her clients, to offer nutritional tips, to communicate informative workout ideas, and to curate ‘fitness fashion’ looks. Her blog has since transformed and been tailored to include anyone interested in fitness, along with travel and inspiration for those looking to stay healthy and fit while seeing the world.

Eating sugary foods might be satisfying in the moment, but they can increase your cravings for more sugary foods in the future — and that only leads to trouble. "Many foods high in added sugar are also higher in calories and fill you up less than lower-calorie, still-sweet alternatives like fruit," says Amy Gorin, MS, RDN, owner of Amy Gorin Nutrition in Jersey City, NJ. But there are still ways to satisfy your sweet tooth without ODing on sugar. "When you're baking, cut out some of the sugar in recipes by adding in vanilla extract or cinnamon, blend unsweetened cocoa powder into a smoothie instead of honey, top your French toast with unsweetened frozen fruit instead of syrup, and nosh on a slab of watermelon instead of cookies."
Choose the turkey sandwich over pizza and you think you're set, but again, looks can be deceiving. A turkey sandwich that comes on focaccia with cheese and mayo can deliver 970 calories. Two slices of pepperoni pan pizza total 520 calories. Put your sandwich in a spinach wrap instead of regular bread? It's the same difference, says Tara Gidus, RD, a former spokesperson for the Academy of Nutrition and Dietetics. "My clients think they get more nutrients and save on calories with 'healthy bread,' but often that's not the case."
Over the summer I weighed in at 123 at 5’6, now I think I’ve gained about 10 or so pounds. I’m trying everything to get the weight off but I to give into my cravings when they appear, and my husband certainly doesn’t make it easy when I get home from work and he’s prepared dinner as he gets home before me (full of guy foods and carbs) We also have a 1yr old so between work and being a new mom I give in once in awhile especially if my son decides to share his sandwiches with me. I do pilates for about 30min 5days a week and love to walk because I found that helped to drop my baby weight last yr but it’s too cold for that now. What would you suggest?
You’re still relying on counting calories instead of letting true hunger guide you. What does true hunger feel like to you? Work on increasing or decreasing your fat to focus on the sensations of true hunger. Try to consume fat at different times of the day so that your hunger is controlled. Strengthening your self-awareness surrounding hunger can reduce the frequency of eating when you are not hungry.
LoseWeightByEating.com is committed to providing information on natural and alternative health, but is not written by health care professionals. All material provided at LoseWeightByEating.com is for informational purposes only, and is not to be taken as medical advice or recommendation. Any health concern or condition should be addressed by a doctor or other appropriate health care professional. The information and opinions found on this website are written based on the best data available at the time of writing, and are believed to be accurate according to the best discernment of the authors. Those who do not seek council from the appropriate health care authority assume the liability of any injury which may occur. Additionally, the opinions expressed at LoseWeightByEating.com do not represent the views of each and every author or contributor to LoseWeightByEating.com. The publisher of this site is not responsible for any errors or omissions in any content herein.

Remember that in order to keep the pounds off and maintain your happy weight, you need to develop a healthy lifestyle. That means forming a routine and keeping up the habits so you can hang on to them for life. "I forced myself out of bed at 5:30 a.m. four to five times a week to run," says Erin Bowman who has kept off 69 pounds. "My first few were horrible. But I stuck with it, eventually trading my run-walk intervals for steady 45-minute jogs," she says.
My weight was pretty consistent throughout middle school, high school, and into college. As a middle schooler, there was so much going on in just trying to develop as a human that fitness, nutrition or creating a healthy lifestyle was never going to be a priority. I exercised by figure skating (I used to be a competitive figure skater!), track and field, and soccer (I played goalie for one year so honestly I shouldn’t even count that.) I also remember many sleepovers spent eating pizzas, candy, and soda. I specifically have one memory of me and a friend challenging each other to eat entire medium pizza from dominos by ourselves…and we both succeeded…so that’s where I was as a 7th grader. I remember feeling bigger than a lot of girls and embarrassed about my weight sometimes, but I had super great friends, kept busy with activities, and overall was supported and I think that is why my weight never got me down too much. Overall, I probably lived a generic middle school life.

Wow! Thank you so much for sharing your story…I would have never guessed you had dealt with such a thing. I”m in the process of losing over 75 lbs gained due to anxiety medicine. I too just woke up and had an epiphany that the medicine had turned me into someone I was not and I had to get off of it especially before having children. It’s definitely been a struggle, but I’ve seen the commercials on tv too and do not want to chance affecting my future children in any way and I want to be a better version of myself. For me personally, exercise, eating better, and therapy have worked to reduce my anxiety and panic attacks enough to stay off medicine.
The trick here is not only to avoid all obvious sources of carbohydrate (sweets, bread, spaghetti, rice, potatoes), but also to be careful with your protein intake. If you eat large amounts of meat, eggs and the like, the excess protein will be converted into glucose in your body. Large amounts of protein can also raise your insulin levels somewhat. This compromises optimal ketosis.

You can get results by following this program provided that you do it correctly and by the book. What many women like about this diet is the fact that is has a clear start and end points. You know from advance that you will enter a diet for 68 days. After that period you evaluate your results and decide the way forward. We did research into various forums and read the experiences of people who followed this diet and most of them did manage to lose weight and most importantly they manage to keep the weight off. Those that failed to do so did not follow the complete set of instructions but they tried a hybrid diet which at the end made them fail.

Try not to think that you can't eat certain foods because you're "too overweight." According to the National Eating Disorder Association, dieting, drive for thinness, and body dissatisfaction can become internalized at a young age and lead to an eating disorder. Change your mindset to celebrate the healthy foods you're eating because they're helping your body stay healthy and energized.
The information contained in this website is only intended for information purposes. Stefani Ruper Enterprises LLC endeavors to keep the information up to date and correct, while making no representations or warranties of any kind, express or implied, about the completeness, accuracy, reliability, suitability or availability with respect to the content and design of all components of this webpage and concomitant downloads for any purpose. Any reliance placed on such information is strictly at one’s own risk.
And now add to this the ketosis piece that makes solving this puzzle even more complex.  Is a calorie still a calorie if cutting carbohydrate to the point of inducing nutritional ketosis reduces appetite, allowing the same level of satiety with a reduced energy intake? (Boden 2005)  Does the keto-adapted individual feel the same need to reduce spontaneous physical activity while losing weight?  What might a barely measurable increase in energy expenditure in a short-term study translate to over a longer duration?  Theoretically, just a one hundred Calorie per day deficit translates to 10 pounds of body fat lost over a year.
The above diet does work. In fact we’re coming out with an eBook in a few days that will layout exactly what to eat for a 2-week time period, including complete grocery shopping list and daily meals. The thing about this particular diet is that you need to be pretty strict with managing blood sugar levels in order to see the type of results in the 4-5 pounds per week range.
We don’t recommend thinking about macros in terms of percentages, especially if you’re focused on weight loss. We recommend keeping your carb intake under 30 grams/day, eating the protein requirement we outline in our protein post, and eating fat to satiety. There’s more info on our rationale around macros in this post by Steve Phinney and Jeff Volek: https://blog.virtahealth.com/how-much-protein-on-keto/
Consider reducing the volume of added fat to test the effect on your weight. Just be sure to notice any changes in hunger as you experiment. If you find yourself hungry, you’ve reduced your fat intake a bit too much. If your hunger remains unchanged, you’ve either found just the right amount or you can experiment with further reducing your fat intake.
Some people feel better supplementing the already active T3 (sometimes prepared from pig thyroid glands), as it can give a stronger effect than the T4 hormone, but its effect is often harder to control. Swedish healthcare rarely prescribes or offers such T3 treatment, as it often lacks advantages and may pose a risk when doses are high for an extended period of time.
Hi! I am 18 years old. My weight is 50 kilos. I really want to lose weight. I have a very nig tummy. But I don’t know hot to start this dieg since I’m really a rice eater. Rice is our main dish. I tried not eating rice before but I felt like I’m going to faint. I don’t have energy and I’m always hungry. I think my body is really used to have rice. Is it still possible to lose weight if there’s rice on my meal? Please help me. Hope to hear from you soon. Cheers!

I am unclear as to the meaning of the numbers on the protein chart. I have PCOS and hypothyroidism and am on meds for both. 2 weeks ago I began the Keto lifestyle and in the first 11 days lost 3.8 pounds. I’ve kept my carbs at 5% or under 25 grams, my fat at 75% , and my protein at 20%. I’m also exercising (strength and cardio) 5 times a week. I am NOT overeating, if anything sometimes I feel I’m not eating enough. I am discouraged today as I got on the scale to find a .2 of a pound weight gain in 3 days. I know this seems insignificant but to someone with my conditions to see the scale consistently going down and now go up, even a little, is awful. Any advice?
Emily Ho is a fashion-lover, social media strategist, writer, and lifestyle blogger for Authentically Emmie. In 2009, Emmie’s blog began as a weight loss blog, but over the years has evolved into something so much more. After losing over 110 pounds, she shifted her focus from losing weight and seeking validation from the scale to living a healthy lifestyle with the body she has, and not hating it. Her now healthy living blog is a platform to discuss life, plus-size fashion, body positivity, and more!
×