The City College CUNY Class: MATH 39100 Methods of Differential Equations

Professor: Gennady Yassiyevich

Variable of y will be t, not x, as standard notation.

Ordinary Differential equation. y = y(t)
Partial Differential equation (later this semester, used in theoretical physics, e.g. laplace, etc.) u = u(x,y).
Example: .

Def: The "order" of a DE is the highest derivative that appears.
Example:
Order 1:
y' + y = 0

Order 2:

There can be many more solutions.

We'll do mostly up to order 2, as most applications do.

Numerical Analysis mentioned. City College supposed to offer this course: Solving problems without formulas.

When initial condition is applied, the solution is called unique solution.

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The Quran Resources

A site that provides resources on pronunciation (phonetics & audio) in Arabic.

This is helpful to learn some quranic quotes that help non-Muslims in the face of Muslims.

For example: Quran 109:6 - To you your religion, to me mine (Lakum Dīnukum Wa Liya Dīni)

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Free Online Puritan Materials

Some good sites:

http://digitalpuritan.net/

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How NYC Water Mains Stay Unfrozen?

So this cold weather prompted me to resolve something that's been in my mind for a while.

NYC's underground water piping system seems pretty resilient against freezing weather. It is because by the city code, the pipes must be at least 3.5 feet deep in the ground, or specially insulated (hair felt insulation). This would prevent water inside piping from freezing under extreme cold weather condition.

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NYC Live Webcams

So far, this is a pretty good site: http://www.cnyclive.com/2014m/

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Coupons by Surveys: e.g. Popeye, Burger King, etc.

I try to save money by collecting coupons, discount offers, etc. whenever I can.

Nowadays, there are these coupons on the receipts in these fastfood restaurants that offer some heavy discounts in exchange for a quick online survey, which must be done quickly (e.g. in 2 days) and must be redeemed in around 30 days or so. The offers are usually valid for 1 time only every 30 days. I believe they use cache in the browser to prevent cheaters, a system that can easily be defeated, though I have yet to try.

Anyhow, I shall keep track of my usage of these coupons here.

01/19/2016 - I've redeemed the survey coupon from Popeye (free 2 pieces, a bread, with purchase of 1 large drink)
01/20/2016 - I've redeemed the survey coupon from Burger King (free whopper burger with purchase of 1 small fries and drink)

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All-You-Can-Eat Buffet Restaurants in NYC

Finding all you can eat menu for a fixed price in the States is really not an American thing.
However, I came across this from Gothamist: The 11 Best All-You-Can-Eat Deals In NYC
Listed some of their recommendations below. The comments on the site also have some other suggestions.
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Brick Lane Curry House (via Yelp)

BRICK LANE CURRY HOUSE: Two of the three Manhattan locations of this popular Indian chain offer a lunch buffet seven days a week starting at noon. $11.99 on weekdays and $14.99 on weekends gets you unlimited scoops of chicken tikka masala, tandoori chicken and a rotating selection of other flavorful curry dishes. Rice and naan are also included for sopping up sauce and scooping up the proteins, plus chutneys and sauces for additional flavor. There's no killer phaal curry on the deal, so stop by for dinner if you want to burn your insides.

Brick Lane Curry House is located in the East Village (306-308 East 6th Street, (212) 979-2900) and the Upper East Side (1664 3rd Avenue, (646) 998-4440)

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(via Yelp)

KIKU SUSHI Unlimited sushi is one of the more prevalent deals to be found in the AYCE arena and this Chelsea spot has one of the most prolific iterations in the city. For $28.95, you can go to town on sushi, sashimi and classic rolls like California and Boston, plus more hopped up editions like Foxwood (eel, lobster, meat, shrimp tempura and avocado wrapped with soybean seaweed) and Fire Island (yellowtail and avocado topped with toro, jalapeno and red tobiko).

Also included in the deal, miso soup, salad and dumplings, plus full entrees like Pork Katsu, Shrimp Teriyaki and Chicken Udon Soup. We suggest wearing sweatpants. It's a toss up as to whether they'll charge you for anything you don't eat, so keep that in mind when examining the huge menu. If that's all still not enough for you, add just $7 per person to get unlimited sake, beer and house wine.

Kiku Sushi is located at 235 9th Avenue in Chelsea, (212) 627-3660; kikusushinyc.com

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(via Yelp)

BROTHER JIMMY'S: Cool bros across the city flock to one of these BBQ outposts for SEC games and cheap cans of Natty Light. But for the gluttonous, try out the chain's unlimited ribs deals, offered on Sundays. Try out any flavor of pork ribs or get a combination plate that includes all three. You can also choose two sides—think mac and cheese, mashed potatoes and coleslaw—plus cornbread and pickles on the plate. The deal goes for $29.95 at the MSG location, $27.95 at the Murray Hill location and $22.95 at the Original outpost on the UES and also includes unlimited draft Coors Light.

Brother Jimmy's has multiple locations in Manhattan.

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(via Facebook)

CHEZ OSKAR Clattering platters of steaming mussels are the ticket on Tuesday nights at this Fort Greene French standby. The weekly $15 deal includes your fill of bivalves in broth, with a choice between a garlic and white wine and mustard flavors. Since the savory broth is half the fun, the restaurant also supplies diners with a huge bowl of french fries plus crusty bread for dunking.

Chez Oskar is located at 211 Dekalb Avenue in Fort Greene, Brooklyn, (718) 852-6250;chezoskar.com

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(via Yelp)

SPRING SHABU SHABU BUFFET In China, there's hot pot and in Japan, shabu shabu, where diners cook vegetables, meats, seafood, noodles and other items in tabletop bubbling vats of flavorful broth. The immense selection at this Flushing spot can seem intimidating at first—there are a dozen types of noodles and fish balls alone—but take your time to circle each station, taking in the bounty, before selecting the items you'll cook at the the table.

For $14.95 ($10.95 during lunch), you'll get access to vegetables (corn, bok choy, squash, cauliflower, kale, etc.) mushrooms, dumplings and the like with a choice of broths like dashi, spicy radish and pork bone. For more protein, add generous platters of fatty beef ($5), lamb ($5) or a seafood combination ($7), which includes clams, shrimp, crab and more. Combine those with a dipping sauce of your making from their vast array of choices and go to town.

Spring Shabu Shabu Buffet is located at 136-20 38th Avenue in Flushing, Queens, (718) 395-8076;springshabu.com

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(Scott Lynch/Gothamist)

CHARLES' COUNTRY PAN FRIED CHICKEN Fried chicken enthusiasts no doubt already know of the legendary birds flying out of the fryer at this Harlem go-to. But were you aware that any day of the week you can eat unlimited quantities of Charles Gabriel's triple-seasoned fried chicken for $16.32 (yes, they are that specific on the price). Not only that, but the restaurant offers this AYCE deal on its soul food, too, meaning you can pile up a plate of ribs and chicken, then squeeze in scoops of macaroni and cheese, okra, potato salad and even some dessert if you still have room.

Charles' Country Pan Fried Chicken is located at 2839-2841 Frederick Douglass Boulevard in Harlem, (212) 281-1800

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(via Foursquare)

MUDVILLE Beers and wings are naturally allies and at this Tribeca pub they're part of a finger-licking deal—if you have at least six people at your table. That's the one catch with their unlimited wings deal—The Wing Ding—which runs $32 per person for two hours of bone-gnawing. Choose between traditional Buffalo (in four different heat levels) or other sauces including BBQ, chimichurri and a Thai sauce with sesame and peanut.

On top of the chicken wings, the table gets unlimited bowls of fries plus unlimited growlers from the restaurant's hearty tap selection. Included are regular beers like Bud Light, but if you wanna be all grown up and fancy pants about it, spend $38 per person and get the craft stuff.

Mudville is located at 126 Chambers Street in Tribeca, (212) 964-9464; mudville9.com

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(via Yelp)

CLEMENTE'S MARYLAND CRABHOUSE CLEMENTE'S MARYLAND CRAB HOUSE: Most of what makes eating a steamed blue crab enjoyable is the art of cracking and opening it, a skill that is both impressive to newbies and permits you to eat with your hands. Unfortunately, crabs don't come with a lot of meat (though what they've got is delicious) and if you're paying per pound, you don't get a lot of food for your buck. Blessedly, Clemente's in Sheepshead Bay boasts an All You Can Eat crab deal on Mondays and Tuesdays—for $34.95, you get a unlimited supply of Maryland blue crab, along with french fries and corn on the cob. You can opt for garlic-style crabs or go for ones smothered in Old Bay like the God of Maryland intended. Just keep in mind that Clemente's is cash only. (Rebecca Fishbein)

Clemente's Maryland Crabhouse is located at 3939 Emmons Avenue, (718) 646-7373;clementescrabhouse.com

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(via Yelp)

PICNIC GARDEN If you're looking for either a calm ambiance or a semblance of restraint, look elsewhere. But if you're game for getting your hands dirty (with meat, mind you) and smelling a bit like smokey animal flesh for the rest of the evening, this AYCE Korean spot in Queens's Murray Hill neighborhood is worth it. At the long central buffet, load up a plate with raw meats and vegetables like thinly sliced lamb and beef, octopus tentacles, slices of onion, shrimp and other grillables before heading back to your table.

Then, enter fire. Servers will oftentimes aid you in grilling the meat, though don't always expect to have the most attentive service. And while some of the meats are marinated, the restaurant also offers spices, salts and other toppings to help ramp up the flavors. In addition to the BBQ, the buffet table offers fried dumplings, seafood pancakes and dozens of other prepared foods to supplement the meatopia. Prices depend on time of day, day of the week and age (there are child prices), but expect to pay between $31.99 and $33.99 per person, plus expenses like beer and soju.

Picnic Garden is located at 14742 Northern Boulevard in Murray Hill, Queens, (718) 358-5959

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John Frame's 30 Advises for Theologians

  1. Consider that you might not really be called to theological work. James 3:1 tells us that not many of us should become teachers and that teachers will be judged more strictly. To whom much (biblical knowledge) is given, of them shall much be required.
  2. Value your relationship with Christ, your family, and the church above your career ambitions. You will influence more people by your life than by your theology. And deficiencies in your life will negate the influence of your ideas, even if those ideas are true.
  3. Remember that the fundamental work of theology is to understand the Bible, God’s Word, and apply it to the needs of people. Everything else—historical and linguistic expertise, exegetical acuteness and subtlety, knowledge of contemporary culture, and philosophical sophistication—must be subordinated to that fundamental goal. If it is not, you may be acclaimed as a historian, linguist, philosopher, or critic of culture, but you will not be a theologian.
  4. In doing the work of theology (the fundamental work, #3), you have an obligation to make a case for what you advocate. That should be obvious, but most theologians today haven’t a clue as to how to do it. Theology is an argumentative discipline, and you need to know enough about logic and persuasion to construct arguments that are valid, sound, and persuasive. In theology, it’s not enough to display knowledge of history, culture, or some other knowledge. Nor is it enough to quote people you agree with and reprobate people you don’t agree with. You actually have to make a theological case for what you say.
  5. Learn to write and speak clearly and cogently. The best theologians are able to take profound ideas and present them in simple language. Don’t try to persuade people of your expertise by writing in opaque prose.
  6. Cultivate an intense devotional life and ignore people who criticize this as pietistic. Pray without ceasing. Read the Bible, not just as an academic text. Treasure opportunities to worship in chapel services and prayer meetings, as well as on Sunday. Give attention to your “spiritual formation,” however you understand that.
  7. A theologian is essentially a preacher, though he typically deals with more arcane subjects than preachers do. But be a good preacher. Find some way to make your theology speak to the hearts of people. Find a way to present your teaching so that people hear God’s voice in it.
  8. Be generous with your resources. Spend time talking to students, prospective students, and inquirers. Give away books and articles. Don’t be tightfisted when it comes to copyrighted materials; grant copy permission to anybody who asks for it. Ministry first, money second.
  9. In criticizing other theologians, traditions, or movements, follow biblical ethics. Don’t say that somebody is a heretic unless you have a very good case. Don’t throw around terms like “another gospel.” (People who teach another gospel are under God’s curse.) Don’t destroy people’s reputations by misquoting them, quoting them out of context, or taking their words in the worst possible sense. Be gentle and gracious unless you have irrefutable reasons for being harsh.
  10. When there is a controversy, don’t get on one side right away. Do some analytical work first, on both positions. Consider these possibilities: (a) that the two parties may be looking at the same issue from different perspectives, so they don’t really contradict; (b) that both parties are overlooking something that could have brought them together; (c) that they are talking past one another because they use terms in different ways; (d) that there is a third alternative that is better than either of the opposing views and that might bring them together; (e) that their differences, though genuine, ought both to be tolerated in the church, like the differences between vegetarians and meat-eaters in Romans 14.
  11. If you get a bright idea, don’t expect everybody to get it right away. Don’t immediately start a faction to promote it. Don’t revile those who haven’t come to appreciate your thinking. Reason gently with them, recognizing that you could be wrong and arrogant to boot.
  12. Don’t be reflexively critical of everything that comes out of a different tradition. Be humble enough to consider that other traditions may have something to teach you. Be teachable before you start teaching them. Take the beam out of your own eye.
  13. Be willing to reexamine your own tradition with a critical eye. It is unreasonable to think that any single tradition has all the truth or is always right. And unless theologians develop critical perspectives on their own denominations and traditions, the reunion of the body of Christ will never take place. Don’t be one of those theologians who are known mainly for trying to make Arminians become Calvinists (or vice versa).
  14. See confessional documents in proper perspective. It is the work of theology, among other things, to rethink the doctrines of the confessions and to reform them, when necessary, by the Word of God. Do not assume that everything in the confession is forever settled.
  15. Don’t let your polemics be governed by jealousy, as when a theologian feels bound to be entirely negative toward the success of a megachurch.
  16. Don’t become known as a theologian who constantly takes potshots at other theologians or other Christians. The enemy is Satan, the world, and the flesh.
  17. Guard your sexual instincts. Stay away from Internet pornography and illicit relationships. Theologians are not immune from the sins that plague others in the church.
  18. Be active in a good church. Theologians need the means of grace as much as other believers. This is especially important when you are studying at a secular university or liberal seminary. You need the support of other believers to maintain proper theological perspective.
  19. Get your basic training at a seminary that teaches the Bible as the Word of God. Become well-grounded in the theology of Scripture before you go off (as you may, of course) to get firsthand exposure to nonbiblical thought.
  20. Come to appreciate the wisdom, even theological wisdom, of relatively uneducated Christians. Don’t be one of those theologians who always has something negative to say when a simple believer describes his walk with the Lord. Don’t look down at people from what Helmut Thielicke called “the high horse of enlightenment.” Often, simple believers know God better than you do, and you need to learn from them, as did Abraham Kuyper, for instance.
  21. Don’t be one of those theologians who get excited about every new trend in politics, culture, hermeneutics, and even theology and who think we have to reconstruct our theology to go along with each trend. Don’t think you have to be a feminist, e.g., just because everybody else is. Most of the theologies that try to be culturally savvy are unbiblical.
  22. Be suspicious of all trendiness in theology. When everybody jumps on some theological bandwagon, whether narrative, feminism, redemptive history, natural law, liturgy, liberation, postmodernism, or whatever, that’s the time to awaken your critical faculties. Don’t jump on the bandwagon unless you have done your own study. When a theological trend comes along, ask reflexively, “What’s wrong with that?” There is always something wrong. It simply is not the case that the newest is the truest. Indeed, many new movements turn out to be false steps entirely.
  23. Our system of doctoral-level education requires “original thought,” but that can be hard to do, given that the church has been studying Scripture for thousands of years. You’ll be tempted to come up with something that sounds new (possibly by writing a thesis that isn’t properly theological at all in the sense of #3 above). Well, do it; get it out of the way, and then come back to do some real theology.
  24. At the same time, don’t reject innovation simply because it is innovative. Even more, don’t reject an idea merely because it doesn’t sound like what you’re used to. Learn to distinguish the sound-look-feel of an idea from what it actually means.
  25. Be critical of arguments that turn on metaphors or extrabiblical technical terms. Don’t assume that each one has a perfectly clear meaning. Usually they do not.
  26. Learn to be skeptical of the skeptics. Unbelieving and liberal scholars are as prone to error as anybody—in fact, more so.
  27. Respect your elders. Nothing is so ill-becoming as a young theologian who despises those who have been working in the field for decades. Disagreement is fine, as long as you acknowledge the maturity and the contributions of those you disagree with. Take 1 Timothy 5:1 to heart.
  28. Young theologians often imagine themselves as the next Luther, just as little boys imagine themselves as the next Peyton Manning or Kevin Garnett. When they’re too old to play cowboys and Indians, they want to play Luther and the Pope. When the real Pope won’t play with them, they pick on somebody else and say, “You’re it.” Look: most likely God has not chosen you to be the leader of a new Reformation. If he has, don’t take the exalted title “Reformer” upon yourself. Let others decide if that is really what you are.
  29. Decide early in your career (after some experimenting) what to focus on and what not to. When considering opportunities, it’s just as important (perhaps more so) to know when to say no as to know when to say yes.
  30. Don’t lose your sense of humor. We should take God seriously, not ourselves, and certainly not theology. To lose your sense of humor is to lose your sense of proportion. And nothing is more important in theology than a sense of proportion.

Source: http://wrfnet.org/articles/2016/01/professor-john-frame-offers-thirty-suggestions-theological-students-and-young#.VpsIGVJo9aU

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Allegedly largest cave in the world: Son Doong, Vietnam

I would like to visit here. An explorer's fav. Officially discovered in 2009.

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J. I. Packer’s Rare Puritan Library Now Digitized to Be Read Online for Free

Puritan eBooks from J.I. Packer's library.

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