A Wisdom Archive on Error Message

We can either consider our integer to be the (only) digit of a nonstandard base-φ numeral, and standardize it, or do the following: 1×1 = 1, φ × φ = 1 + φ and 1/φ = -1 + φ. Therefore, we can compute (a + bφ) + (c + dφ) = ((a + c) + (b + d)φ), (a + bφ) - (c + dφ) = ((a - c) + (b - d)φ) and (a + bφ) × (c + dφ) = ((a × c + b × d) + (a × d + b × c + b × d)φ). So, using integer values only, we can add, subtract and multiply numbers of the form (a + bφ), and even r ...

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It is possible to adapt all the standard algorithms of base-10 arithmetic to base-φ arithmetic. There are two approaches to this: Golden ratio base - Calculate then convert to standard form. For addition of two base-φ numbers, add each pair of digits, without carry, and then convert the numeral to standard form. For subtraction, subtract each pair of digits without borrow (borrow is a negative amount of carry), and then convert the numeral to standard form. For multiplication, multiply in the typi ...

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211.01φ is not a standard base-φ numeral, since it contains a "11" and a "2", which isn't a "0" or "1", and contains a 1=-1, which isn't a "0" or "1" either. To "standardize" a numeral, we can use the following substitutions: 011φ = 100φ, 0200φ = 1001φ and 010φ = 101φ. We can apply the substitutions in any order we like, as the result is the ...

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Every rational number can be represented as a recurring base-φ expansion, as can any element of the field Q[√5] = Q + √5Q, the field generated by the rational numbers and √5. Conversely any recurring (or terminating) base-φ expansion is an element of Q[√5]. Some examples (with spaces added for emphasis): 1/2 = 0.010 010 010 ... φ 1/3 = 0.00101000 00101000 00101000... φ √5 = 10.100000φ 2+(1/13)√5 = 10.010 10001000101010 ...

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One feature of the Cocoa environment that is certainly unusual, if not unique, is its facility for managing dynamically allocated memory. Cocoa's NSObject class, from which most classes, both vendor and user, are derived, implements a reference counting scheme for memory management. Objects derived from the NSObject root class respond to a retain and a release message, and keeps a retain count, which can be queried by sending a retainCount message. A newly allocated object, created with alloc

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Although each debugging experience is unique, certain general principles can be applied in debugging. This section particularly addresses debugging software, although many of these principles can also be applied to debugging hardware. The basic steps in debugging are: Recognize that a bug exists Isolate the source of the bug Identify the cause of the bug Determine a fix for the bug Apply the fix and test it Debugging - Recognize a bug exists. Detection of b ...

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Debugging is, in general, a cumbersome and tiring task. The debugging skill of the programmer is probably the biggest factor in the ability to debug a problem, but the difficulty of software debugging varies greatly with the programming language used and the available tools, such as debuggers. Debuggers are software tools which enable the programmer to monitor the execution of a program, stop it, re-start it, run it in slow motion, change values in memory and even, in some cases, go back in time. The term debugger can also refer to the ...

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Both haiku and hokku writers and verses are now found online. A search will lead to many forums where both new and experienced poets learn, share, discuss, and freely criticize. In early 1998, Salon magazine published the results of a haiku contest on the topic of computer error messages. The winning verse (senryu to be precise), written by David Dixon, was: Three things are certain: Death, taxes, and los ...

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When a Guru Meditation is displayed, the options are to reboot by pressing the left mouse button, or to invoke ROMWack by pressing the right mouse button. (ROMWack is a minimalist debugger built into the operating system which is accessible by connecting a 9600 bit/s terminal to the serial port). The alert itself appears as black rectangular box that located in the upper portion of the screen. Its border and text is red when it is a normal Guru Meditation, or green/yellow when it is a Recoverable Alert, another kind of Guru Meditation ...

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There is some controversy over who first used the term "bug" (see the Computer bug article for that discussion). Some claim that the term "debugging" was first defined by Glenford J Myers in his 1976 book Software Reliability: Principles and Practices as "diagnosing the precise nature of a known error and then correcting the error". The story goes that when one of the early computers malfunctioned, Admiral Grace Hopper discovered that the problem was that a moth had got into the circuitry and caused a short circuit. This was the origi ...

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Code can be used for brevity. When telegraph messages were the state of the art in rapid long distance communication, elaborate commercial codes which encoded complete phrases into single words (commonly five-letter groups) were developed, so that telegraphers became conversant with such "words" as BYOXO ("Are you trying to weasel out of our deal?"), LIOUY ("Why do you not answer my question?"), BMULD ("You're a skunk!"), or AYYLU ("Not clearly coded, repeat more clearly."). Code words were chosen for various reas ...

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There are concrete steps that can be taken to reduce the amount of time spent debugging software. These are listed in the sections below. Debugging - The correct mindset. Probably the most important thing you can do when you are starting to debug a program is to realize that you don't understand what is going on. Programmers who are convinced that their program should work fine are less likely to find errors simply because they are refusing to admit their confusion. If the program behaved the way you think ...

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ARQ is an acronym for: Automatic Repeat-reQuest. It is an Error control method for data transmission in which the receiver detects transmission errors in a message and automatically requests a retransmission from the transmitter. Usually, when the transmitter receives the ARQ, the transmitter retransmits the message until it is either correctly received or the error persists beyond a predetermined number of retransmissions. A few types of ARQ protocols are Stop-and-wait ARQ, Go-Back-N ARQ and Selective Repeat ARQ. Admission Request in H.323 Registration, ...

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"A wizard did it" is a phrase used to denote a suspiciously evasive answer to an inquiry, usually with the implication the question is either being purposely avoided or is in fact silly or overthought. The phrase was widely propagated through Internet message boards, frequently as a catch-all response to continuity errors in games or webcomics. The phrase originated in The Simpsons' Treehouse of Horror X when Lucy Lawless responded to Professor Frink's question regarding a continuity error in Xena: Warrior Princess. ...

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