I’m a permaculture farmer. I want to create food-producing ecosystems. My hope is a world with easy access to a cuisine that nourishes consumers, supports producers, and leaves the Earth joyously habitable.

Permaculturists, natural farmers, plantsmen, and foodies share this ambition. I believe this group of green thumbs, stock-folk, and food champions is falling to tribalism, forgetting that rescuing the globe requires saving all of its inhabitants, even those who adore cheap burgers and Coke. We're digging foxholes and turning folks who disagree with us or don't understand into monsters.

Take Dr. Daphne Miller's comments at the end of her Slow Money Journal interview:

“Americans are going to fall into two camps when all is said and done: People who buy cheap goods, regardless of quality, versus people who are willing and able to pay for things that are made with integrity. We are seeing the limits of the “buying cheap crap” approach.”

This is one of the most judgmental things I've read outside the Bible. Consequences:

• People who purchase inexpensive things (food) are ignorant buffoons who prefer to choose fair trade coffee over fuel as long as the price is correct.

• It all depends on your WILL to buy quality or cheaply. Both those who are WILLING and those who ARE NOT exist. And able, too.

• People who are unwilling and unable are purchasing garbage. You're giving your kids bad food. Both the Earth and you are being destroyed by your actions. Your camp is the wrong one. You’re garbage! Disgrace to you.

Dr. Miller didn't say it, but words are worthless until interpreted. This interpretation depends on the interpreter's economic, racial, political, religious, family, and personal history. Complementary language insults another. Imagine how that Brown/Harvard M.D.'s comment sounds to a low-income household with no savings.

Dr. Miller's comment reflects the echo chamber into which nearly all clean food advocates speak. It asks easy questions and accepts non-solutions like raising food prices and eating less meat. People like me have cultivated an insular world unencumbered by challenges beyond the margins. We may disagree about technical details in rotationally-grazing livestock, but we short circuit when asked how our system could supply half the global beef demand. Most people have never seriously considered this question. We're so loved and affirmed that challenging ourselves doesn't seem necessary. Were generals insisting we don't need to study the terrain because God is on our side?

“Yes, the $8/lb ground beef is produced the way it should be. Yes, it’s good for my body. Yes it’s good for the Earth. But it’s eight freaking dollars, and my kid needs braces and protein. Bye Felicia, we’re going to McDonald’s.”

-Bobby Q. Homemaker

Funny clean foodies. People don't pay enough for food; they should value it more. Turn the concept of buying food with integrity into a wedge and drive it into the heart of America, dividing the willing and unwilling.

We go apeshit if you call our products high-end.

I've heard all sorts of gaslighting to defend a $10/lb pork chop as accessible (things I’ve definitely said in the past):

• At Whole Foods, it costs more.

• The steak at the supermarket is overly affordable.

• Pay me immediately or the doctor gets paid later.

I spoke with Timbercreek Market and Local Food Hub in front of 60 people. We were asked about local food availability.

They came to me last, after my co-panelists gave the same responses I would have given two years before.

I grumbled, "Our food is inaccessible." Nope. It's beyond the wallets of nearly everyone, and it's the biggest problem with sustainable food systems. We're criminally unserious about being leaders in sustainability until we propose solutions beyond economic relativism, wishful thinking, and insisting that vulnerable, distracted people do all the heavy lifting of finding a way to afford our food. And until we talk about solutions, all this preserve the world? False.

The room fell silent as if I'd revealed a terrible secret. Long, thunderous applause followed my other remarks. But I’m probably not getting invited back to any VNRLI events.

I make pricey cuisine. It’s high-end. I have customers who really have to stretch to get it, and they let me know it. They're forgoing other creature comforts to help me make a living and keep the Earth of my grandmothers alive, and they're doing it as an act of love. They believe in us and our work.

I remember it when I'm up to my shoulders in frigid water, when my vehicle stinks of four types of shit, when I come home covered in blood and mud, when I'm hauling water in 100-degree heat, when I'm herding pigs in a rainstorm and dodging lightning bolts to close the chickens. I'm reminded I'm not alone. Their enthusiasm is worth more than money; it helps me make a life and a living. I won't label that gift less than it is to make my meal seem more accessible.

Not everyone can sacrifice.

Let's not pretend we want to go back to peasant fare, despite our nostalgia. Industrial food has leveled what rich and poor eat. How food is cooked will be the largest difference between what you and a billionaire eat. Rich and poor have access to chicken, pork, and beef. You might be shocked how recently that wasn't the case. This abundance, particularly of animal protein, has helped vulnerable individuals.

Industrial food causes environmental damage, chronic disease, and distribution inequities. Clean food promotes non-industrial, artisan farming. This creates a higher-quality, more expensive product than the competition; we respond with aggressive marketing and the "people need to value food more" shtick geared at consumers who can spend the extra money.

The guy who is NOT able is rendered invisible by clean food's elitist marketing, which is bizarre given a.) clean food insists it's trying to save the world, yet b.) MOST PEOPLE IN THE WORLD ARE THAT GUY. No one can help him except feel-good charities. That's crazy.

Also wrong: a foodie telling a kid he can't eat a 99-cent fast food hamburger because it lacks integrity. Telling him how easy it is to save his ducketts and maybe have a grass-fed house burger at the end of the month as a reward, but in the meantime get your protein from canned beans you can't bake because you don't have a stove and, even if you did, your mom works two jobs and moonlights as an Uber driver so she doesn't have time to heat that shitup anyway.

A wealthy person's attitude toward the poor is indecent. It's 18th-century Versailles.

Human rights include access to nutritious food without social or environmental costs. As a food-forest-loving permaculture farmer, I no longer balk at the concept of cultured beef and hydroponics. My food is out of reach for many people, but access to decent food shouldn't be. Cultures and hydroponics could scale to meet the clean food affordability gap without externalities. If technology can deliver great, affordable beef without environmental negative effects, I can't reject it because it's new, unusual, or might endanger my business.

Why is your farm needed if cultured beef and hydroponics can feed the world? Permaculture food forests with trees, perennial plants, and animals are crucial to economically successful environmental protection. No matter how advanced technology gets, we still need clean air, water, soil, greenspace, and food.

Clean Food cultivated in/on live soil, minimally processed, and eaten close to harvest is part of the answer, not THE solution. Clean food advocates must recognize the conflicts at the intersection of environmental, social, and economic sustainability, the disproportionate effects of those conflicts on the poor and lower-middle classes, and the immorality and impracticality of insisting vulnerable people address those conflicts on their own and judging them if they don't.

Our clients, relatives, friends, and communities need an honest assessment of our role in a sustainable future. If we're serious about preserving the world, we owe honesty to non-customers. We owe our goal and sanity to honesty. Future health and happiness of the world left to the average person's pocketbook and long-term moral considerations is a dismal proposition with few parallels.

Let's make soil and grow food. Let the lab folks do their thing. We're all interdependent.

Corn Kid got viral on TikTok after being interviewed by Recess Therapy. Tariq, called the Corn Kid, ate a buttery ear of corn in the video. He's corn crazy. He thinks everyone just has to try it. It turns out, whether we know it or not, we already have.

Corn is a fruit, veggie, and grain. It's the second-most-grown crop. Corn makes up 36% of U.S. exports. In the U.S., it's easy to grow and provides high yields, as proven by the vast corn belt spanning the Midwest, Great Plains, and Texas panhandle. Since 1950, the corn crop has doubled to 10 billion bushels.

You say, "Fine." We shouldn't just grow because we can. Why so much corn? What's this corn for?

Why is practical and political. Michael Pollan's The Omnivore's Dilemma has the full narrative. Early 1970s food costs increased. Nixon subsidized maize to feed the public. Monsanto genetically engineered corn seeds to make them hardier, and soon there was plenty of corn. Everyone ate. Woot! Too much corn followed. The powers-that-be had to decide what to do with leftover corn-on-the-cob.

They are fortunate that corn has a wide range of uses.

First, the edible variants. I divide corn into obvious and stealth.

Obvious corn includes popcorn, canned corn, and corn on the cob. This form isn't always digested and often comes out as entire, polka-dotting poop. Cornmeal can be ground to make cornbread, polenta, and corn tortillas. Corn provides antioxidants, minerals, and vitamins in moderation. Most synthetic Vitamin C comes from GMO maize.

Corn oil, corn starch, dextrose (a sugar), and high-fructose corn syrup are often overlooked. They're stealth corn because they sneak into practically everything. Corn oil is used for frying, baking, and in potato chips, mayonnaise, margarine, and salad dressing. Baby food, bread, cakes, antibiotics, canned vegetables, beverages, and even dairy and animal products include corn starch. Dextrose appears in almost all prepared foods, excluding those with high-fructose corn syrup. HFCS isn't as easily digested as sucrose (from cane sugar). It can also cause other ailments, which we'll discuss later.

Most foods contain corn. It's fed to almost all food animals. 96% of U.S. animal feed is corn. 39% of U.S. corn is fed to livestock. But animals prefer other foods. Omnivore chickens prefer insects, worms, grains, and grasses. Captive cows are fed a total mixed ration, which contains corn. These animals' products, like eggs and milk, are also corn-fed.

There are numerous non-edible by-products of corn that are employed in the production of items like:

1. fuel-grade ethanol

2. plastics

3. batteries

4. cosmetics

5. meds/vitamins binder

6. carpets, fabrics

7. glutathione

8. crayons

9. Paint/glue

How does corn influence you? Consider quick food for dinner. You order a cheeseburger, fries, and big Coke at the counter (or drive-through in the suburbs). You tell yourself, "No corn." All that contains corn. Deconstruct:

Cows fed corn produce meat and cheese. Meat and cheese were bonded with corn syrup and starch (same). The bun (corn flour and dextrose) and fries were fried in maize oil. High fructose corn syrup sweetens the drink and helps make the cup and straw.

Just about everything contains corn. Then what? A cornspiracy, perhaps? Is eating too much maize an issue, or should we strive to stay away from it whenever possible?

As I've said, eating some maize can be healthy. 92% of U.S. corn is genetically modified, according to the Center for Food Safety. The adjustments are expected to boost corn yields. Some sweet corn is genetically modified to produce its own insecticide, a protein deadly to insects made by Bacillus thuringiensis. It's safe to eat in sweet corn. Concerns exist about feeding agricultural animals so much maize, modified or not.

High fructose corn syrup should be consumed in moderation. Fructose, a sugar, isn't easily metabolized. Fructose causes diabetes, fatty liver, obesity, and heart disease. It causes inflammation, which might aggravate gout. Candy, packaged sweets, soda, fast food, juice drinks, ice cream, ice cream topping syrups, sauces & condiments, jams, bread, crackers, and pancake syrup contain the most high fructose corn syrup. Everyday foods with little nutrients. Check labels and choose cane sugar or sucrose-sweetened goods. Or, eat corn like the Corn Kid.

Research on preventing disease, extending life, and caring for your body from the inside out

Grapefruit and pomegranates aren't on the list, so ignore that. Mostly, I enjoyed the visual, but those fruits are healthful, too.

15 (or 17 if you consider the photo) different foods a day sounds like a lot. If you're not used to it  — it is.

These lists don't aim for perfection. Instead, use this article and the science below to eat more of these foods. If you can eat 5 foods one day and 5 the next, you're doing well. This list should be customized to your requirements and preferences.

“Every time you eat or drink, you are either feeding disease or fighting it” -Heather Morgan.

The 15 Foods That You Should Consume Daily and Why:

1. Dark/Red Berries

(blueberries, blackberries, acai, goji, cherries, strawberries, raspberries)

The 2010 Global Burden of Disease Study is the greatest definitive analysis of death and disease risk factors in history. They found the primary cause of both death, disability, and disease inside the United States was diet.

Not eating enough fruit, and specifically berries, was one of the best predictors of disease (1).

What's special about berries? It's their color! Berries have the most antioxidants of any fruit, second only to spices. The American Cancer Society found that those who ate the most berries were less likely to die of cardiovascular disease.

2. Beans

Soybeans, black beans, kidney beans, lentils, split peas, chickpeas.

Beans are one of the most important predictors of survival in older people, according to global research (2).

For every 20 grams (2 tablespoons) of beans consumed daily, the risk of death is reduced by 8%.

Soybeans and soy foods are high in phytoestrogen, which reduces breast and prostate cancer risks. Phytoestrogen blocks the receptors' access to true estrogen, mitigating the effects of weight gain, dairy (high in estrogen), and hormonal fluctuations (3).

3. Nuts

(almonds, walnuts, pecans, pistachios, Brazil nuts, cashews, hazelnuts, macadamia nuts)

Eating a handful of nuts every day reduces the risk of chronic diseases like heart disease and diabetes. Nuts also reduce oxidation, blood sugar, and LDL (bad) cholesterol, improving arterial function (4).

Despite their high-fat content, studies have linked daily nut consumption to a slimmer waistline and a lower risk of obesity (5).

4. Flaxseed

(milled flaxseed)

2013 research found that ground flaxseed had one of the strongest anti-hypertensive effects of any food. A few tablespoons (added to a smoothie or baked goods) lowered blood pressure and stroke risk 23 times more than daily aerobic exercise (6).

Flax shouldn't replace exercise, but its nutritional punch is worth adding to your diet.

5. Other seeds

(chia seeds, hemp seeds, pumpkin seeds, sesame seeds, fennel seeds)

Seeds are high in fiber and omega-3 fats and can be added to most dishes without being noticed.

When eaten with or after a meal, chia seeds moderate blood sugar and reduce inflammatory chemicals in the blood (7). Overall, a great daily addition.

6. Dates

Dates are one of the world's highest sugar foods, with 80% sugar by weight. Pure cake frosting is 60%, maple syrup is 66%, and cotton-candy jelly beans are 70%.

Despite their high sugar content, dates have a low glycemic index, meaning they don't affect blood sugar levels dramatically. They also improve triglyceride and antioxidant stress levels (8).

Dates are a great source of energy and contain high levels of dietary fiber and polyphenols, making 3-10 dates a great way to fight disease, support gut health with prebiotics, and satisfy a sweet tooth (9).

7. Cruciferous Veggies

(broccoli, Brussel sprouts, horseradish, kale, cauliflower, cabbage, boy choy, arugula, radishes, turnip greens)

Cruciferous vegetables contain an active ingredient that makes them disease-fighting powerhouses. Sulforaphane protects our brain, eyesight, against free radicals and environmental hazards, and treats and prevents cancer (10).

Unless you eat raw cruciferous vegetables daily, you won't get enough sulforaphane (and thus, its protective nutritional benefits). Cooking destroys the enzyme needed to create this super-compound.

If you chop broccoli, cauliflower, or turnip greens and let them sit for 45 minutes before cooking them, the enzyme will have had enough time to work its sulforaphane magic, allowing the vegetables to retain the same nutritional value as if eaten raw. Crazy, right? For more on this, see What Chopping Your Vegetables Has to Do with Fighting Cancer.

8. Whole grains

(barley, brown rice, quinoa, oats, millet, popcorn, whole-wheat pasta, wild rice)

Whole-grains are one of the healthiest ways to consume your daily carbs and help maintain healthy gut flora.

This happens when fibre is broken down in the colon and starts a chain reaction, releasing beneficial substances into the bloodstream and reducing the risk of Type 2 Diabetes and inflammation (11).

9. Spices

(turmeric, cumin, cinnamon, ginger, saffron, cloves, cardamom, chili powder, nutmeg, coriander)

7% of a person's cells will have DNA damage. This damage is caused by tiny breaks in our DNA caused by factors like free-radical exposure.

Free radicals cause mutations that damage lipids, proteins, and DNA, increasing the risk of disease and cancer. Free radicals are unavoidable because they result from cellular metabolism, but they can be avoided by consuming anti-oxidant and detoxifying foods.

Including spices and herbs like rosemary or ginger in our diet may cut DNA damage by 25%. Yes, this damage can be improved through diet. Turmeric worked better at a lower dose (just a pinch, daily). For maximum free-radical fighting (and anti-inflammatory) effectiveness, use 1.5 tablespoons of similar spices (12).

10. Leafy greens

(spinach, collard greens, lettuce, other salad greens, swiss chard)

Studies show that people who eat more leafy greens perform better on cognitive tests and slow brain aging by a year or two (13).

As we age, blood flow to the brain drops due to a decrease in nitric oxide, which prevents blood vessels from dilatation. Daily consumption of nitrate-rich vegetables like spinach and swiss chard may prevent dementia and Alzheimer's.

11. Fermented foods

(sauerkraut, tempeh, kombucha, plant-based kefir)

Miso, kimchi, and sauerkraut contain probiotics that support gut microbiome.

Probiotics balance the good and bad bacteria in our bodies and offer other benefits. Fermenting fruits and vegetables increases their antioxidant and vitamin content, preventing disease in multiple ways (14).

12. Sea vegetables

(seaweed, nori, dulse flakes)

A population study found that eating one sheet of nori seaweed per day may cut breast cancer risk by more than half (15).

Seaweed and sea vegetables may help moderate estrogen levels in the metabolism, reducing cancer and disease risk.

Sea vegetables make up 30% of the world's edible plants and contain unique phytonutrients. A teaspoon of these super sea-foods on your dinner will help fight disease from the inside out.

13. Water

I'm less concerned about whether you consider water food than whether you drink enough. If this list were ranked by what single item led to the best health outcomes, water would be first.

Research shows that people who drink 5 or more glasses of water per day have a 50% lower risk of dying from heart disease than those who drink 2 or less (16).

Drinking enough water boosts energy, improves skin, mental health, and digestion, and reduces the risk of various health issues, including obesity.

14. Tea

All tea consumption is linked to a lower risk of stroke, heart disease, and early death, with green tea leading for antioxidant content and immediate health benefits.

Green tea leaves may also be able to interfere with each stage of cancer formation, from the growth of the first mutated cell to the spread and progression of cancer in the body. Green tea is a quick and easy way to support your long-term and short-term health (17).

15. Supplemental B12 vitamin

B12, or cobalamin, is a vitamin responsible for cell metabolism. Not getting enough B12 can have serious consequences.

Historically, eating vegetables from untreated soil helped humans maintain their vitamin B12 levels. Due to modern sanitization, our farming soil lacks B12.

B12 is often cited as a problem only for vegetarians and vegans (as animals we eat are given B12 supplements before slaughter), but recent studies have found that plant-based eaters have lower B12 deficiency rates than any other diet (18).

Article Sources:

1. The Global Burden of Disease Study 2010 (GBD 2010)

2. I. Darmadi-Blackberry, M. Wahlqvist, A. Kouris-Blazos, et al. Legumes: the most important dietary predictor of survival in older people of different ethnicities. Asia Pac J Clin Nutr. 2004;13(2):217–20.

3. Guha N, Kwan ML, Quesenberry CP Jr, Weltzien EK, Castillo AL, Caan BJ. Soy isoflavones and risk of cancer recurrence in a cohort of breast cancer survivors: the Life After Cancer Epidemiology study. Breast Cancer Res Treat. 2009 Nov;118(2):395–405.

4. Y. Bao, J. Han, F. B. Hu, E. L. Giovannucci, M. J. Stampfer, W. C. Willett, C. S. Fuchs. Association of nut consumption with total and cause-specific mortality. N. Engl. J. Med. 2013 369(21):2001–2011.

5. V. Vadivel, C. N. Kunyanga, H. K. Biesalski. Health benefits of nut consumption with special reference to body weight control. Nutrition 2012 28(11–12):1089–1097.

6. D Rodriguez-Leyva, W Weighell, A L Edel,R LaVallee, E Dibrov,R Pinneker, T G Maddaford, B Ramjiawan, M Aliani, R Guzman R, G N Pierce. Potent antihypertensive action of dietary flaxseed in hypertensive patients. Hypertension. 2013 Dec;62(6):1081–9. doi: 10.1161/HYPERTENSIONAHA.113.02094.

7. Vuksan V, Jenkins AL, Dias AG, Lee AS, Jovanovski E, Rogovik AL, Hanna A. Reduction in postprandial glucose excursion and prolongation of satiety: possible explanation of the long-term effects of whole grain Salba (Salvia Hispanica L.). Eur J Clin Nutr. 2010 Apr;64(4):436–8. doi: 10.1038/ejcn.2009.159. Epub 2010 Jan 20. PMID: 20087375.

8. W. Rock, M. Rosenblat, H. Borochov-Neori, N. Volkova, S. Judeinstein, M. Elias, and M. Aviram. Effects of date (Phoenix dactylifera L., Medjool or Hallawi Variety) consumption by healthy subjects on serum glucose and lipid levels and on serum oxidative status: a pilot study. J. Agric. Food. Chem., 57(17):8010{8017, 2009.

9. Eid N, Enani S, Walton G, et al. The impact of date palm fruits and their component polyphenols, on gut microbial ecology, bacterial metabolites and colon cancer cell proliferation. J Nutr Sci. 2014;3:e46.

10. Li Y, Zhang T, Korkaya H, Liu S, Lee HF, Newman B, Yu Y, Clouthier SG, Schwartz SJ, Wicha MS, Sun D. Sulforaphane, a Dietary Component of Broccoli/Broccoli Sprouts, Inhibits Breast Cancer Stem Cells. Clin Cancer Res. 2010 May 1;16(9):2580–90.

11. Lappi J, Kolehmainen M, Mykkänen H, Poutanen K. Do large intestinal events explain the protective effects of whole grain foods against type 2 diabetes? Crit Rev Food Sci Nutr. 2013;53(6):631–40.

12. S. S. Percival, J. P. V. Heuvel, C. J. Nieves, C. Montero, A. J. Migliaccio, J. Meadors. Bioavailability of Herbs and Spices in Humans as Determined by ex vivo Inflammatory Suppression and DNA Strand Breaks. J Am Coll Nutr. 2012 31(4):288–294.

13. Nurk E, Refsum H, Drevon CA, et al. Cognitive performance among the elderly in relation to the intake of plant foods. The Hordaland Health Study. Br J Nutr. 2010;104(8):1190–201.

14. Melini, F.; Melini, V.; Luziatelli, F.; Ficca, A.G.; Ruzzi, M. Health-Promoting Components in Fermented Foods: An Up-to-Date Systematic Review. Nutrients2019, 11, 1189.

15. H. Funahashi, T. Imai, T. Mase, M. Sekiya, K. Yokoi, H. Hayashi, A. Shibata, T. Hayashi, M. Nishikawa, N. Suda, Y. Hibi, Y. Mizuno, K. Tsukamura, A. Hayakawa, S. Tanuma. Seaweed prevents breast cancer? Jpn. J. Cancer Res. 2001 92(5):483–487.

16. Chan J, Knutsen SF, Blix GG, Lee JW, Fraser GE. Water, other fluids, and fatal coronary heart disease: the Adventist Health Study. Am J Epidemiol. 2002 May 1;155(9):827–33. doi: 10.1093/aje/155.9.827. PMID: 11978586.

17. Fujiki H, Imai K, Nakachi K, Shimizu M, Moriwaki H, Suganuma M. Challenging the effectiveness of green tea in primary and tertiary cancer prevention. J Cancer Res Clin Oncol. 2012 Aug;138(8):1259–70.

18. Damayanti, D., Jaceldo-Siegl, K., Beeson, W. L., Fraser, G., Oda, K., & Haddad, E. H. (2018). Foods and Supplements Associated with Vitamin B12Biomarkers among Vegetarian and Non-Vegetarian Participants of the Adventist Health Study-2 (AHS-2) Calibration Study. Nutrients, 10(6), 722. doi:10.3390/nu10060722

Using math to write efficient code in any language

Programmers design, build, test, and maintain software. Employ cases and personal preferences determine the programming languages we use throughout development. Mobile app developers use JavaScript or Dart. Some programmers design performance-first software in C/C++.

A generic source code includes language-specific grammar, pre-implemented function calls, mathematical operators, and control statements. Some mathematical principles assist us enhance our programming and problem-solving skills.

We all use basic mathematical concepts like formulas and relational operators (aka comparison operators) in programming in our daily lives. Beyond these mathematical syntaxes, we'll see discrete math topics. This narrative explains key math topics programmers must know. Master these ideas to produce clean and efficient software code.

Expressions in mathematics and built-in mathematical functions

A source code can only contain a mathematical algorithm or prebuilt API functions. We develop source code between these two ends. If you create code to fetch JSON data from a RESTful service, you'll invoke an HTTP client and won't conduct any math. If you write a function to compute the circle's area, you conduct the math there.

When your source code gets more mathematical, you'll need to use mathematical functions. Every programming language has a math module and syntactical operators. Good programmers always consider code readability, so we should learn to write readable mathematical expressions.

Linux utilizes clear math expressions.

Inbuilt max and min functions can minimize verbose if statements.

How can we compute the number of pages needed to display known data? In such instances, the ceil function is often utilized.

import math as m
results = 102
items_per_page = 10 
pages = m.ceil(results / items_per_page)
print(pages)

Learn to write clear, concise math expressions.

Combinatorics in Algorithm Design

Combinatorics theory counts, selects, and arranges numbers or objects. First, consider these programming-related questions. Four-digit PIN security? what options exist? What if the PIN has a prefix? How to locate all decimal number pairs?

Combinatorics questions. Software engineering jobs often require counting items. Combinatorics counts elements without counting them one by one or through other verbose approaches, therefore it enables us to offer minimum and efficient solutions to real-world situations. Combinatorics helps us make reliable decision tests without missing edge cases. Write a program to see if three inputs form a triangle. This is a question I commonly ask in software engineering interviews.

Graph theory is a subfield of combinatorics. Graph theory is used in computerized road maps and social media apps.

Logarithms and Geometry Understanding

Geometry studies shapes, angles, and sizes. Cartesian geometry involves representing geometric objects in multidimensional planes. Geometry is useful for programming. Cartesian geometry is useful for vector graphics, game development, and low-level computer graphics. We can simply work with 2D and 3D arrays as plane axes.

GetWindowRect is a Windows GUI SDK geometric object.

High-level GUI SDKs and libraries use geometric notions like coordinates, dimensions, and forms, therefore knowing geometry speeds up work with computer graphics APIs.

How does exponentiation's inverse function work? Logarithm is exponentiation's inverse function. Logarithm helps programmers find efficient algorithms and solve calculations. Writing efficient code involves finding algorithms with logarithmic temporal complexity. Programmers prefer binary search (O(log n)) over linear search (O(n)). Git source specifies O(log n):

Logarithms aid with programming math. Metas Watchman uses a logarithmic utility function to find the next power of two.

Employing Mathematical Data Structures

Programmers must know data structures to develop clean, efficient code. Stack, queue, and hashmap are computer science basics. Sets and graphs are discrete arithmetic data structures. Most computer languages include a set structure to hold distinct data entries. In most computer languages, graphs can be represented using neighboring lists or objects.

Using sets as deduped lists is powerful because set implementations allow iterators. Instead of a list (or array), store WebSocket connections in a set.

Most interviewers ask graph theory questions, yet current software engineers don't practice algorithms. Graph theory challenges become obligatory in IT firm interviews.

Recognizing Applications of Recursion

A function in programming isolates input(s) and output(s) (s). Programming functions may have originated from mathematical function theories. Programming and math functions are different but similar. Both function types accept input and return value.

Recursion involves calling the same function inside another function. In its implementation, you'll call the Fibonacci sequence. Recursion solves divide-and-conquer software engineering difficulties and avoids code repetition. I recently built the following recursive Dart code to render a Flutter multi-depth expanding list UI:

Recursion is not the natural linear way to solve problems, hence thinking recursively is difficult. Everything becomes clear when a mathematical function definition includes a base case and recursive call.

Conclusion

Every codebase uses arithmetic operators, relational operators, and expressions. To build mathematical expressions, we typically employ log, ceil, floor, min, max, etc. Combinatorics, geometry, data structures, and recursion help implement algorithms. Unless you operate in a pure mathematical domain, you may not use calculus, limits, and other complex math in daily programming (i.e., a game engine). These principles are fundamental for daily programming activities.

Master the above math fundamentals to build clean, efficient code.

In the early 2000s, I began developing SaaS. I helped launch an internet fax service that delivered faxes to email inboxes. Back then, it saved consumers money and made the procedure easier.

Google AdWords was young then. Anyone might establish a new website, spend a few hundred dollars on keywords, and see dozens of new paying clients every day. That's how we launched our new SaaS, and these clients stayed for years. Our early ROI was sky-high.

Changing times

The situation changed dramatically after 15 years. Our paid advertising cost $200-$300 for every new customer. Paid advertising takes three to four years to repay.

Fortunately, we still had tens of thousands of loyal clients. Good organic rankings gave us new business. We needed less sponsored traffic to run a profitable SaaS firm.

Is it still possible?

Since selling our internet fax firm, I've dreamed about starting a SaaS company. One I could construct as a lone developer and progressively grow a dedicated customer base, as I did before in a small team.

It seemed impossible to me. Solo startups couldn't afford paid advertising. SEO was tough. Even the worst SaaS startup ideas attracted VC funding. How could I compete with startups that could hire great talent and didn't need to make money for years (or ever)?

The One and Only Way to Learn

After years of talking myself out of SaaS startup ideas, I decided to develop and launch one. I needed to know if a solitary developer may create a SaaS app in 2022.

Thus, I did. I invented webwriter.ai, an AI-powered writing tool for website content, from hero section headlines to blog posts, this year. I soft-launched an MVP in July.

Considering the Issue

Now that I've developed my own fully capable SaaS app for site builders and developers, I wonder if it's still possible. Can webwriter.ai be successful?

I know webwriter.ai's proposal is viable because Jasper.ai and Grammarly are also AI-powered writing tools. With competition comes validation.

To Win, Differentiate

To compete with well-funded established brands, distinguish to stand out to a portion of the market. So I can speak directly to a target user, unlike larger competition.

I created webwriter.ai to help web builders and designers produce web content rapidly. This may be enough differentiation for now.

Budget-Friendly Promotion

When paid search isn't an option, we get inventive. There are more tools than ever to promote a new website.

• Organic Results

• on social media (Twitter, Instagram, TikTok, LinkedIn)

• Marketing with content that is compelling

• Link Creation

• Listings in directories

• references made in blog articles and on other websites

• Forum entries

The Beginning of the Journey

As I've labored to construct my software, I've pondered a new mantra. Not sure where that originated from, but I like it. I'll live by it and teach my kids:

“Do the work.”

Effective: August 31, 2022

These Terms of Service ("Terms") govern your access to and use of INTΞGRITY’s (or "we") websites, mobile applications, and other online products and services (collectively, the "Services"). By clicking your assent (e.g. "Continue," "Sign-in," or "Sign-up") or by utilizing our Services, you consent to these Terms, including the mandatory arbitration provision and class action waiver in the Resolving Disputes; Binding Arbitration Section.

Our Privacy Policy describes how we gather and utilize your information, while our Rules detail your duties when utilizing our Services. You agree to be bound by these Terms and our Rules by utilizing our Services. Please refer to our Privacy Statement for details on how we collect, utilize, disclose, and otherwise manage your information.

Please contact us at hello@int3grity.com if you have any queries regarding these Terms or our Services.

Account Details and Responsibilities

You are responsible for your use of the Services and any content you contribute, including compliance with all relevant laws. The Services may host content that is protected by the intellectual property rights of third parties. Please do not copy, post, download, or distribute content without permission.

You must adhere to our Rules when using the Services.

To use any or all of our services, you may need to register for an account. Contribute to the protection of your account. Protect your account's password, and maintain accurate account details. We advise you not to share your password with anyone else.

If you are accepting these Terms and using the Services on behalf of someone else (such as another person or entity), you confirm that you are allowed to do so, and the words "you" or "your" in these Terms refer to that other person or entity.

You must be at least 13 years old to access our services.

If you use the Services to access, collect, or otherwise utilize the personal information of other INTΞGRITY users ("Personal Information"), you agree to comply with all applicable laws. You also undertake not to sell any Personal Information, where "sell" has the meaning ascribed to it by relevant legislation.

For Personal Information you provide to us (as a Newsletter Editor, for example), you represent and warrant that you have lawfully collected the Personal Information and that you or a third party have provided all required notices and obtained all required consents prior to collecting the Personal Information. You further represent and warrant that INTΞGRITY’s use of such Personal Information in accordance with the purposes for which you provided the Personal Information will not violate, misappropriate, or infringe any rights of a third party (including intellectual property rights or privacy rights) or cause us to violate any applicable laws.

The Services' User Content

INTΞGRITY may monitor your conduct and material for compliance with these Terms and our Rules, and reserves the right to remove any content that violates these guidelines.

INTΞGRITY maintains the right to remove or disable content that is accused to violate the intellectual property rights of others, as well as to cancel the accounts of repeat infringers. We respond to notifications of alleged copyright violations if they comply with the law; please report such notices using our Copyright Policy.

Ownership and Rights

You maintain ownership of all content that you submit, upload, or display on or through the Services.

By submitting, posting, or displaying content on or through the Services, unless otherwise agreed in writing, you grant INTΞGRITY a nonexclusive, royalty-free, worldwide, fully paid, and sublicensable license to use, reproduce, modify, adapt, publish, translate, create derivative works from, distribute, publicly perform and display your content and any name, username or likeness provided in connection with your content in all media formats and distribution methods now known or later developed.

INTΞGRITY requires this license because you are the owner of your material, and INTΞGRITY cannot show it across its multiple platforms (mobile, online) without your consent.

This type of license is also required for content distribution throughout our Services. For example, you may publish a piece on INTΞGRITY. It is duplicated as versions on both our website and app, and distributed to many locations on INTΞGRITY, including the homepage and reading lists. A tweak could be that we display a fragment of your work as a preview (rather than the entire post), with attribution. An example of a derivative work might be a list of top authors or quotations on INTΞGRITY that includes chunks of your article, again with full attribution. This license solely applies to our Services and does not grant us permissions outside of our Services.

So long as you comply with these Terms, INTΞGRITY grants you a limited, non-exclusive, personal, and non-transferable license to access and utilize our Services.

Copyright, trademark, and other United States and international laws protect the Services. These Terms do not grant you any right, title, or interest in the Services, the material posted by other users on the Services, or INTΞGRITY’s trademarks, logos, or other brand characteristics.

In addition to the content you submit, post, or display on our Services, we appreciate your feedback, which may include your thoughts, ideas, and suggestions regarding our Services. This input may be used for any reason at our sole discretion and without obligation to you. We may treat your comments as non-confidential.

We reserve the right, at our sole discretion, to discontinue the Services or any of its features. In addition, we reserve the right to impose limits on use and storage, and to remove or restrict the distribution of content on the Services.

Termination

You are allowed to terminate your use of our services at any time. We have the right to stop or cancel your use of the Services with or without notice.

Moving and Processing Information

To enable us to deliver our Services, you accept that we may handle, transfer, and retain information about you in the United States and other countries, where you may not enjoy the same rights and protections as you do under local law.

Indemnification

To the maximum extent permitted by applicable law, you will indemnify, defend, and hold harmless INTΞGRITY, and our officers, directors, agents, partners, and employees (collectively, the "INTΞGRITY Parties"), from and against any losses, liabilities, claims, demands, damages, expenses or costs ("Claims") arising out of or relating to your violation, misappropriation, or infringement of any rights of another (including intellectual property rights or privacy rights). You undertake to promptly notify INTΞGRITY Parties of any third-party Claims, to assist INTΞGRITY Parties in fighting such Claims, and to pay any fees, charges, and expenses connected with defending such Claims (including attorneys' fees). You further agree that, at INTΞGRITY’s sole discretion, the INTΞGRITY Parties will govern the defense or settlement of any third-party Claims.

Disclaimers — Services Provided "As Is"

INTΞGRITY strives to provide you with excellent Services, but there are certain things we cannot guarantee. Utilization of our services is at your own risk. You acknowledge that our Services and any content uploaded or shared by users on the Services are given "as is" and "as available" without explicit or implied warranties of any kind, including warranties of merchantability, fitness for a particular purpose, title, and non-infringement. In addition, INTΞGRITY does not represent or promise that our Services are accurate, comprehensive, dependable, up-to-date, or error-free. No advice or information gained from INTΞGRITY or via the Services shall create any warranty or representation unless expressly set forth in this section. INTΞGRITY may provide information on third-party products, services, activities, or events, or we may permit third parties to make their material and information accessible via our Services (collectively, "Third-Party Content"). We neither control nor endorse any Third-Party Content, nor do we make any claims or warranties about it. Accessing and utilizing Third-Party Content is at your own risk. The disclaimers in this section may not apply to you if they are prohibited in your location.

Limitation of Liability

We do not exclude or limit our obligation to you where it would be unlawful to do so; this includes any liability for the gross negligence, fraud, or willful misconduct of INTΞGRITY or the other INTΞGRITY Parties in providing the Services. In jurisdictions where the foregoing exclusions are not permitted, our liability to you is limited to losses and damages that are reasonably foreseeable as a result of our failure to exercise reasonable care and skill or breach of contract with you. This paragraph does not impact consumer rights that cannot be waived or limited by contract.

In jurisdictions that permit liability exclusions or limits, INTΞGRITY and INTΞGRITY Parties will not be liable for:

(a) Any indirect, consequential, exemplary, incidental, punitive, or extraordinary damages, or any loss of use, data, or profits, based on any legal theory, even if INTΞGRITY or the other INTΞGRITY Parties were advised of the potential of such damages.

(b) Except for the types of liability we cannot limit by law (as described in this section), we limit the total liability of INTΞGRITY and the other INTΞGRITY Parties for any claim arising out of or related to these Terms or our Services, regardless of the form of action, to $100.00 USD.

Arbitration; Resolution of Disputes

We intend to address your concerns without filing a formal lawsuit. Before making a claim against INTΞGRITY, you agree to contact us and attempt to resolve the dispute informally by emailing hello@int3grity.com or by sending certified mail to INTΞGRITY, P.O. JOY, 479 Jessie St, San Francisco, CA 94103. The notice must (a) contain your name, address, email address, and telephone number; (b) identify the nature and grounds of the claim; and (c) detail the relief requested. Our notice to you will be sent to the email address linked with your online account and will contain the information specified in the preceding section. Any party may commence a formal procedure if we are unable to reach a resolution within thirty (30) days of the date of any notice.

Please read the following section carefully because it compels you to arbitrate certain claims and disputes with INTΞGRITY and limits the method in which you can seek redress from us, unless you opt out of arbitration by following the steps provided below. This arbitration provision does not permit class or representative lawsuits or arbitrations. In addition, arbitration prohibits you from filing a lawsuit or having a jury trial.

(a) Absence of Representative Actions You and INTΞGRITY agree that any dispute arising out of or relating to these Terms or our Services is personal to you and INTΞGRITY and will be resolved entirely via individual action, and not by class arbitration, class action, or other representative procedure.

(b) Dispute Arbitration. Except for small claims disputes in which you or INTΞGRITY seeks to bring an individual action in small claims court located in the county where you reside and disputes in which you or INTΞGRITY seeks injunctive or other equitable relief for the alleged infringement or misappropriation of intellectual property, you and INTΞGRITY waive your rights to a jury trial and to have any other dispute arising out of or relating to these Terms or our Services, including claims related to privity of contract, decided by a jury. All Disputes submitted to JAMS shall be decided by confidential, binding arbitration before a single arbitrator. If you are a consumer, you may choose to have the arbitration in your county of residence. A "consumer" is a person who uses the Services for personal, family, or household purposes for the purposes of this provision. You and INTΞGRITY agree that Disputes shall be resolved using the JAMS Streamlined Arbitration Rules and Procedures ("JAMS Rules"). The latest version of the JAMS Rules is accessible on the JAMS website and is incorporated herein by reference. Either you accept and agree that you have read and comprehended the JAMS Rules or you forfeit your right to read the JAMS Rules and any claim that the JAMS Rules are unreasonable or should not apply for any reason.

(c) You and INTΞGRITY agree that these Terms affect interstate commerce and that the enforceability of this provision is subject to the Federal Arbitration Act, 9 U.S.C. 1 et seq. (the "FAA"), to the maximum extent permissible by applicable law. As limited by the FAA, these Terms, and the JAMS Rules, the arbitrator will have sole authority to make all procedural and substantive judgments regarding any Dispute, and to grant any remedy that would otherwise be available in court, including the authority to determine arbitrability. The arbitrator may only conduct an individual arbitration and may not consolidate the claims of more than one party, preside over any sort of class or representative procedure, or preside over any proceeding involving more than one party.

d) The arbitration will permit the discovery or exchange of nonconfidential information pertinent to the Dispute. The arbitrator, INTΞGRITY, and you will maintain the confidentiality of all arbitration proceedings, judgments, and awards, as well as any information gathered, prepared, or presented for the purposes of the arbitration or relating to the Dispute(s) therein. Unless the law specifies otherwise, the arbitrator will have the right to make decisions that protect confidentiality. The duty of confidentiality does not apply where disclosure is required to prepare for or conduct the arbitration hearing on the merits, in connection with a court application for a preliminary remedy, in connection with a judicial challenge to an arbitration award or its enforcement, or where disclosure is otherwise required by law or judicial decision.

e) You and INTΞGRITY agree that for any arbitration you begin, you will pay the filing fee (up to $250 if you are a consumer) and INTΞGRITY will pay the remaining JAMS fees and costs. INTΞGRITY will pay all JAMS fees and costs for any and all arbitrations it initiates. You and INTΞGRITY agree that the state and federal courts of California and the United States located in San Francisco have exclusive jurisdiction over any appeals and the implementation of an arbitration award.

(f) Any Dispute must be filed within one year after the relevant claim arose; otherwise, the Dispute is permanently barred, meaning that neither you nor INTΞGRITY will be able to assert the claim.

(g) You have the right to opt-out of binding arbitration within 30 days of the date you initially accepted the terms of this section by sending an email to hello@int3grity.com. For the opt-out notification to be effective, it must include your full name and address and clearly explain your intent to opt out of binding arbitration. By declining binding arbitration, you consent to the resolution of Disputes in accordance with "Governing Law and Venue" below.

(h) If any portion of this section is found to be unenforceable or unlawful for any reason: (1) the unenforceable or unlawful provision shall be severed from these Terms; (2) the severance of the unenforceable or unlawful provision shall have no effect whatsoever on the remainder of this section or the parties' ability to compel arbitration of any remaining claims on an individual basis pursuant to this section; and (3) to the extent that any claims must therefore proceed on an individual basis, the parties agree to arbitrate those claims on an individual basis. In addition, if it is determined that any portion of this section prohibits an individual claim seeking public injunctive relief, that provision will be null and void to the extent that such relief may be sought outside of arbitration, and the balance of this section will be enforceable.

Statute and Location

These Terms and any dispute that may arise between you and INTΞGRITY are governed by California law, excluding its conflict of law provisions. Any issue between the parties that is not arbitrable or cannot be heard in small claims court will be determined by the state or federal courts of California and the United States, sitting in San Francisco, California.

Some nations have regulations that require agreements to be controlled by the consumer's country's laws. These statutes are not overridden by this paragraph.

Amendments

Periodically, we may make modifications to these Terms. If we make modifications, we will notify you by sending an email to the address connected with your account, providing an in-product message, or amending the date at the top of these Terms. Unless we specify otherwise in our notification, the modified Terms will take effect immediately, and your continued use of our Services after we issue such notice indicates your acceptance of the changes. If you do not accept the updated Terms, you must cease using our services.

Severability

If any section or portion of a provision of these Terms is determined to be unlawful, void, or unenforceable, that provision or part of the provision shall be deemed severable from these Terms and shall not affect the validity and enforceability of the other terms.

Miscellaneous INTΞGRITY’s omission to assert or enforce any right or term of these Terms is not a waiver of such right or provision. These Terms and the terms and policies specified in the Other Terms and Policies that May Apply to You Section constitute the complete agreement between the parties pertaining to the subject matter hereof and supersede all prior agreements, statements, and understandings between the parties. The section headings in these Terms are for convenience only and have no legal or contractual significance. The use of the word "including" shall be taken to mean "including without limitation." Unless otherwise specified, these Terms are intended solely for the benefit of the parties and are not intended to confer third-party beneficiary rights on any other person or entity. You consent to the use of electronic means for our communications and transactions.