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Q:
If a function is zero, can I say that it’s zero everywhere?
I am currently making a program in Mathematica and one of the things I have to do is to check if one of my initial conditions (which are real numbers) is zero.
I’ve done this by testing if the function does not diverge and is not negative (I have tested the function for many initial conditions to make sure it doesn’t diverge and is positive for positive initial conditions).
If my function diverges and the initial condition is positive or zero, it means that the other function (the one that I have to check) is strictly positive at t = 0 and that the function I have to check is negative.
My question is if I have the function f(t) that can be zero at t = 0 or at other points. Can I say that this function is zero everywhere?
Thank you!
A:
It depends on what you mean by “function is zero”. If you mean that your function vanishes everywhere, then the answer is yes. A simple example is $f(x) = \sum_{n\ge 1} x^{ -n}$.
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Do no-name building experiences sound cool?
I’ve walked through several antique/vintage buildings and I’ve been disappointed by the lack of skill and craftsmanship shown in many of them.
It is impossible for me to appreciate value or craftsmanship when I walk away from a building thinking, “Ugh! That’s ugly! Ugly! Ugly!”
As for the second-hand experiences, I know they can be cool, but how can you describe the experience to a listener? Should you say it “sounds like it was done by an 18-year-old”?
If you go to a place like the Hard Rock Cafe, you know what to expect. It has a purpose and identity that gives you a sense of the era it was built in. And you know it was built by a company that specializes in refurbishing buildings.
Some of the bad experiences I’ve had
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Console Versions
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Starfinder® is a science-fantasy roleplaying game of epic wonders and mysterious aliens that puts the spotlight on the players and their adventures.
The setting is a distant future in which humanity is in the midst of exploring the galaxy. Players take on the roles of intrepid adventurers (technically they are more like teams) of various types to explore new worlds and fulfill quests. The adventure is not limited to looking for treasure and fighting monsters, though. To play, you and your fellow heroes will need to study the cultures of other species, learn their secrets, and make a lasting impression.
Starfinder combines the imagination of science-fiction with the strategy, heroes and roleplaying of a fantasy game to deliver an experience unlike any other roleplaying game on the market!
Key Features:
Explore over 100 unique aliens, including cryptids, animals, fungi, bugs and even robots!
Roleplay with your friends in a fully-immersive Starfinder universe with no game master, no dice and no need to track up characters’ XP!
Customize how your party lives, looks and fights – making your own characters is as easy as choosing your own unique six-sided dice!
Characters can share equipment, skills and attributes based on their chosen alien species or their choice of augmentations.
Risk, reward, and hard choices are critical elements of playing in Starfinder – you will need to make decisions to succeed, and those decisions will change the way you will play.
If you like what you see, you can try out Starfinder for free at www.starfinderrpg.com – just register with your email and you’ll get a download link to the digital version of the Starfinder Rulebook, the Starfinder Character Guide, all of the source documents used to create the book, and updates for the game.
Starfinder RPG is a trademark or registered trademark of Paizo Inc., or its subsidiaries.
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Human Race has some new levels, new characters and new elements in this version. A few of the levels of “The Other One” are also compatible with this version.
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Contents:
The City Outside of Time
The Return of the Runelords
The Story of Fylkir Valeros
The Story of Krigel Kvothe and the Winter Twilight
The Story of Alaznist
The Story of Shadow Scale
The Story of Knorr the Sorcerer
The Story of Oskar Kulle
The Story of Inkariax
The Story of Kypiq
The Story of Brennus
The Story of Idos
The City Outside of Time
The characters set out in search of a powerful artifact called the Orb of the Permanence. They find it, but a powerful enemy has other ideas. Alaznist, a powerful and malevolent wizard, corrupts the characters’ perceptions of time, and they find their actions trapped within it.
The characters must now set off to re-enter the city of Rivalen to determine where their perilous journey has taken place. In doing so, they become lost and meet up with a gang of kyton spirits who hold a treasure of secrets. These kyton spirits lead them to the frozen City of Rivalen, one of the largest frozen cities on the continent. There the characters encounter not just Alaznist, but also Krigel Kvothe, for whom they must find the Orb.
The City Outside of Time is set on a frozen island in the northern waters of the Sea of Ghosts, which lies off the coast of the frozen continent of Greater Faydwer. The city can only be accessed by sea, and only in extremely rough conditions. Its citizens have not seen a human for a very long time; the few that have escaped the long winter are said to tell of a frozen wasteland, where the snow never melts, and of a strange continent, whose shape changes from year to year. What they don’t know is how to get back.
The City Outside of Time is a new adventure path for the Pathfinder Adventure Paths. It is designed to be played in conjunction with the Return of the Runelords Adventure Path, which began on September 12, 2017, and is a long-form campaign setting that takes place in the ancient Kingdom of Thassilon, before the r
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