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Topic: Zero object

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Terminal object

Zero morphism

List of category theory topics

Category of sets

Natural number object

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	PlanetMath: examples of initial objects and terminal objects and zero objects
		This is the origin of the term “zero object”.
		The empty scheme (which is the prime spectrum of the zero ring) is an initial object.
		This is version 16 of examples of initial objects and terminal objects and zero objects, born on 2002-06-25, modified 2005-06-12.
	planetmath.org /encyclopedia/TerminalObjectsAndZeroObjectsExamplesOfInitialObjects.html (616 words)

	Object (Java 2 Platform SE v1.4.2)
		By convention, the object returned by this method should be independent of this object (which is being cloned).
		Typically, this means copying any mutable objects that comprise the internal "deep structure" of the object being cloned and replacing the references to these objects with references to the copies.
		Otherwise, this method creates a new instance of the class of this object and initializes all its fields with exactly the contents of the corresponding fields of this object, as if by assignment; the contents of the fields are not themselves cloned.
	java.sun.com /j2se/1.4.2/docs/api/java/lang/Object.html (2133 words)

	Mechanics - Printer-friendly - MSN Encarta
		As the object moves across the sliding surface, the tiny bumps on the object and sliding surface collide, and force is required to move the bumps past each other.
		The force that object 1 exerts on object 2 must be of the same magnitude but in the opposite direction as the force that object 2 exerts on object 1.
		The angular momentum of a rotating object depends on its speed of rotation, its mass, and the distance of the mass from the axis.
	encarta.msn.com /text_761556906___6/Mechanics.html (965 words)

	Initial object Information
		In mathematics, an initial object of a category C is an object I in C such that for every object X in C, there exists precisely one morphism I → X.
		Despite the names, initial object and related concepts are unrelated with initial morphism, zero morphism and such.
		This is the origin of the term "zero object".
	www.bookrags.com /wiki/Initial_object (1037 words)

	Good Math, Bad Math : Zeros in Category Theory
		A zero object sits in the middle of a category: everything has exactly one arrow to it, and one arrow from it.
		A zero morphism in a category C is part of a set of arrows, called the zero family of morphisms of C, where composing any morphism with a member of the zero family results in a morphism in the zero family.
		Zero arrows are actually very important buggers: the algebraic and topographical notions of a kernel can be defined in category theory using the zero morphisms.
	scienceblogs.com /goodmath/2006/07/zeros_in_category_theory.php (1204 words)

	[No title]
		When bound to a non-zero pixel unpack buffer object, the data argument to these calls is treated as an offset rather than a pointer so zero is a reasonable and even likely value that corresponds to the very beginning of the buffer object's data.
		GL buffer objects provide a mechanism for clients to use to allocate, initialize, and access such memory." The name space for buffer objects is the unsigned integer, with zero reserved for the GL.
		If the buffer object named /buffer/ has not been previously bound or has been deleted since the last binding, the GL creates a new state vector, initialized with a zero-sized memory buffer and comprising the state values listed in table 2.6." Replace the 5th paragraph with: "Initially, each buffer object target is bound to zero.
	www.opengl.org /registry/specs/ARB/pixel_buffer_object.txt (4835 words)

	Cecil Object Model
		This approach to multi-methods permits viewing objects andtheir connected methods as a unit which implements a data abstraction;the methods defined for a particular object are always directly accessiblefrom the object.
		Subtyping and conformance in Cecil is explicit, in that the programmermust explicitly declare that an object conforms to a type and that a typeis a subtype of another type.
		This distinction enables an object to be a subtype of anotherwithout being forced to inherit any code, and enables an object to inheritcode without being restricted to be a legal subtype of the parent object(see entry under 7.
	www.objs.com /x3h7/cecil.htm (1932 words)

	Object life cycle
		Object life cycle model is responsible for simulating object modifications, expirations, and similar events in Web object's ``life''.
		We further observe that the period of a cycle is object specific.
		For a given object, the presence of the Last-Modified: field in past replies is irrelevant for the 304 versus 200 reply choice.
	www.web-polygraph.org /docs/reference/models/objlife.html (1079 words)

	File Type Note for $54/$DD3E
		Each child object is linked to the parent by a pointer to the child contained within the parent object.
		When reading a Medley file, objects with regions or polygons will have to be treated specially, since the handles in the objects are invalid and the regions or polygons actually follow the object in the disk file.
		If the object is an area object, it may also have a polygon associated with it (if the area type field indicates this is so).
	web.pdx.edu /~heiss/technotes/ftyp/ftn.54.dd3e.html (3949 words)

	Zero objects, Kernels, and Cokernels « The Unapologetic Mathematician
		Zero objects, Kernels, and Cokernels «; The Unapologetic Mathematician
		While initial objects and terminal objects are both nice, zero objects are even nicer.
		If we have two morphisms between a given pair of objects we can ask about their equalizer and coequalizer.
	unapologetic.wordpress.com /2007/06/13/zero-objects-kernels-and-cokernels (528 words)

	The Checkpoint Mechanism
		Whenever an object in memory is dirtied, space is reserved for it in the current checkpoint generation.
		Objects may have been written to the current generation due to ageing, but at the time the checkpoint is declared many of these objects will still be in memory.
		During the migration phase, objects in the stable generation are copied from the stable generation to their home locations on the disk.
	www.eros-os.org /design-notes/Checkpoint.html (2940 words)

	Cisco SNMP Object Navigator (Site not responding. Last check: 2007-09-11)
		This object is deprecated in favour of ifInMulticastPkts and ifInBroadcastPkts.
		This object is deprecated in favour of ifOutMulticastPkts and ifOutBroadcastPkts.
		The value of this object should be the name of the interface as assigned by the local device and should be suitable for use in commands entered at the device's `console'.
	tools.cisco.com /Support/SNMP/do/BrowseMIB.do?local=en&step=2&mibName=IF-MIB-V1SMI (6380 words)

	[No title]
		A particular image of a texture object is selected for use as a framebuffer-attachable image by specifying the mipmap level, cube map face (for a cube map texture), and z-offset (for a 3D texture) that identifies the image.
		While a framebuffer object is bound to the target FRAMEBUFFER_EXT, GL operations on the target to which it is bound affect the images attached to the bound framebuffer object, and queries of the target to which it is bound return state from the bound object.
		While a renderbuffer object is bound, GL operations on the target to which it is bound affect the bound renderbuffer object, and queries of the target to which a renderbuffer object is bound return state from the bound object.
	www.nvidia.com /dev_content/nvopenglspecs/GL_EXT_framebuffer_object.txt (10146 words)

	pooma: Zero< T > Struct Template Reference (Site not responding. Last check: 2007-09-11)
		The point of this class is to be a number of type T which is known at compile time to be zero.
		If you return a Zero object, the compiler should be able to make better optimizations than if you just return zero.
		Zero is templated on type T, to represent a zero object of type T. Type T is required to be constructable from an integer zero.
	www.tat.physik.uni-tuebingen.de /~rguenth/phd/html/structZero.html (173 words)

	Graphs of Motion
		Galileo's description of an object moving with constant speed (perhaps the first application of mathematics to motion) required one definition, four axioms, and six theorems.
		It intercepts the origin, so its initial displacement is zero, the example states that the initial velocity is zero, and the graph shows that the object has traveled 9 m in 10 s.
		Note that the slope is zero twice -- once at the top of the bump at 3.0 s and again in the bottom of the dent at 6.5 s.
	hypertextbook.com /physics/mechanics/motion-graphs (4918 words)

	Zero-config object persistence with Simple Persistence for Java
		Object persistence is a must in almost all Java™ applications, from the desktop to the enterprise.
		object is later used to store and retrieve objects.
		The query syntax is object oriented and there is no concept of tables, indices, or other typical relational-database concepts.
	www.ibm.com /developerworks/java/library/j-sp4j/index.html?ca=drs- (1530 words)

	Controlling Access
		Zero rights is an explicit denial of a category of rights, whereas not having an assignment of that category of rights does not constitute a denial of those rights.
		In the assignment, you can set the User object as the trustee, or you can set an object that the user is security equivalent to as the trustee.
		It is often easier to grant rights to a user by creating a Group object, making the user a member of the group, and then granting rights to the group.
	www.novell.com /documentation/nw5/usserver/sgui_enu/data/access.html (2125 words)

	OpenTop C++ class: ManagedObject
		Object lifetime management (aka 'garbage collection') is the process of deciding when an object is no longer needed and destroying it when it is safe to do so.
		Each object has a reference-count which is incremented each time a reference to the object is taken and decremented when the reference is no longer needed.
		This is a deliberate choice so that objects created on the stack which never have another reference taken can go out of scope and be destroyed with a reference-count still equal to zero.
	www.elcel.com /docs/opentop/API/ot/ManagedObject.html (1493 words)

	Amazon.com: Zero: The Biography of a Dangerous Idea: Books: Charles Seife (Site not responding. Last check: 2007-09-11)
		Zero: The Biography of a Dangerous Idea, by noted science writer Charles Seife, starts with the story of a modern battleship stopped dead in the water by a loose zero, then rewinds back to several hundred years BCE.
		The power of zero lies in such a contradiction, and civilization has struggled with it, alternatively seeking to ban and to embrace zero and infinity.
		Zero: The Biography of a Dangerous Idea is a book based on an intriguing idea, the history of zero.
	www.amazon.com /Zero-Biography-Dangerous-Charles-Seife/dp/0140296476 (2227 words)

	[No title]
		This is consistent with the June, 2004 ARB meeting vote to use the "texture" object methodlogy as the default object methodology.
		The framebuffer object is an object to encapsulate the state of the framebuffer and the collection of framebuffer-attachable images attached to the logical buffer attachment points.
		We decided to leave framebuffer objects in the API, with the understanding that we could easily remove them from the API and the spec later if a convincing case was argued for removing it.
	oss.sgi.com /projects/ogl-sample/registry/EXT/framebuffer_object.txt (11269 words)

	[No title]
		The buffer object ID zero is reserved, and when buffer object zero is bound to a given target, the commands affected by that buffer binding behave normally.
		pointers is a fake pointer that represents an offset in the buffer object.
		While a buffer object is bound, GL operations on the target to which it is bound affect the bound buffer object, and queries of the target to which a buffer object is bound return state from the bound object.
	www.opengl.org /registry/specs/ARB/vertex_buffer_object.txt (6957 words)

	Karl's Calculus Tutor: An Object Falling through Air
		Experiments in wind tunnels reveal that the force exerted by air flowing past an object (especially a spherical object) is proportional to the square of the velocity of the air flow.
		That is what we expect -- that when the object is at rest it is affected only by gravity, so its acceleration is the same as if it were dropped in a vacuum.
		That is, at the moment you release the object (time zero), it is at rest (its velocity is zero).
	www.karlscalculus.org /l12.1.html (1234 words)

	TeX Frequently Asked Questions -- question label "divzero" (Site not responding. Last check: 2007-09-11)
		can actually be caused by offering the package a figure which claims to have a zero dimension, it’s more commonly caused by rotation.
		Objects in TeX may have both height (the height above the baseline) and depth (the distance the object goes below the baseline).
		If you rotate an object by 180 degrees, you convert its height into depth, and vice versa; if the object started with zero depth, you’ve converted it to a zero-height object.
	www.tex.ac.uk /cgi-bin/texfaq2html?label=divzero (178 words)

	WsMan
		Determines which interfaces an object supports and returns a valid pointer to an interface.
		When the count goes to zero, the object is destroyed.
		Also used as the initial method of a distributed behavior pattern, where the object is a web service.
	research.microsoft.com /invisible/WsMan.htm (172 words)

	Static Equilibrium
		If an object is in static equilibrium, there are two very specific things the object is not doing that are important to understand.
		The sum of all the horizontal components must be zero, and the sum of all the vertical components must be zero, independently.
		The force of gravity acts at the center of mass of the stick, which is at the geometric center of the stick where you are holding it.
	www.uvi.edu /Physics/SCI3xxWeb/Structure/StaticEq.html (2638 words)

	Novell Documentation: Novell eDirectory 8.6 - eDirectory Rights
		Objects created through an upgrade process such as a NetWare migration, printing upgrade, or Windows NT user migration receive trustee assignments appropriate for most situations.
		If the user or any object that the user is security equivalent to does get assigned those rights, ensure that that object also has an assignment lower in the tree that omits those rights.
		When you make one object security equivalent to another object, the rights of the second object are added to the rights of the first object when the system calculates the first object's effective rights.
	www.novell.com /documentation/ndsedir86/taoenu/data/fbachifb.html (1966 words)

	JSON
		In various languages, this is realized as an object, record, struct, dictionary, hash table, keyed list, or associative array.
		An object is an unordered set of name/value pairs.
		A string is a collection of zero or more Unicode characters, wrapped in double quotes, using backslash escapes.
	json.org (344 words)

	BUG: Insert Object from Zero Length File Causes GP Fault
		Creating an object from a zero length file that does not have a valid file class extension results in a general protection (GP) fault after displaying the message,
		When creating an object from a file that does not have a valid class extension, the Object Packager is invoked to generate the embedded object.
		In the case of a zero length source file, the Packager document-level DDE window is rendered invalid before a terminate message can be sent to it.
	support.microsoft.com /kb/108371 (185 words)

	The Vile Zero Errors from Hell
		In the Z-machine, an object reference is an integer; objects are numbered consecutively starting with 1.
		In each object entry, there are three words of attributes, then the parent, sibling, and child values, then the pointer to the property table.
		If you try to move object zero, the interpreter will try to change that field; so the default for property 60 will change.
	www.eblong.com /zarf/vileerror.html (1521 words)

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