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1. • • If a vertical line drawn anywhere on the graph of a relation only intersects the graph at one point, then that graph represents a function. If a vertical line can intersect the graph at two or more points, then the graph does not represent a function.
     Reference:

     2.3: Understanding Graphs of Functions - Mathematics LibreTexts

2. Top results related to what is a non-trivial graph example of function

   • What is a non-trivial constructor in C++?

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     Answered Oct 10, 2010 · 104 votes

     In simple words a "trivial" special member function literally means a member function that does its job in a very straightforward manner. The "straightforward manner" means different thing for different kinds of special member functions.

     For a default constructor and destructor being "trivial" means literally "do nothing at all". For copy-constructor and copy-assignment operator, being "trivial" means literally "be equivalent to simple raw memory copying" (like copy with memcpy).

     If you define a constructor yourself, it is considered non-trivial, even if it doesn't do anything, so a trivial constructor must be implicitly defined by the compiler.

     In order for a special member function to satisfy the above requirements, the class must have a very simplistic structure, it must not require any hidden initializations when an object is being created or destroyed, or any hidden additional internal manipulations when it is being copied.

     For example, if class has virtual functions, it will require some extra hidden initializations when objects of this class are being created (initialize virtual method table and such), so the constructor for this class will not qualify as trivial.

     For another example, if a class has virtual base classes, then each object of this class might contain hidden pointers that point to other parts of the very same object. Such a self-referential object cannot be copied by a simple raw memory copy routine (like memcpy). Extra manipulations will be necessary to properly re-initialize the hidden pointers in the copy. For this reason the copy constructor and copy-assignment operator for this class will not qualify as trivial.

     For obvious reasons, this requirement is recursive: all subobjects of the class (bases and non-static members) must also have trivial constructors.

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   • What is the use of a pointer to function as shown in K&R example

     Top Answer

     Answered Dec 23, 2020 · 6 votes

     The K&R book predates standardized C, so some constructs which were valid at the time are no longer valid. Specifically, it seems to be assuming that conversion between any two pointer types is valid.

     lineptr is an array of char *, and this array will decay into a pointer to its first element when used in an expression, i.e. char **. So the cast to void ** is needed to match the argument type, as only a conversion to/from void * may be performed without a cast.

     The expression (numeric ? numcmp : strcmp) is choosing a function to pass as the comp parameter to the function, so either numcmp or strcmp depending on the value of numeric. The cast to (int (*)(void*, void*)) is needed because strcmp (and presumably numcmp) has type int (*)(const char *, const char *).

     Casting to a different function pointer type and subsequently calling the function using the casted type is undefined behavior in standard C, however it was probably allowed in K&R C.

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   • What is a real life example of a Moore machine?

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     Answered May 11, 2014 · 1 votes

     An elevator is a good example of a Moore machine. Imagine that each floor is a different state in the machine. Now, when you press a button to get to a certain level you change the actual state of the machine to the new level without giving any additional input. However, if we take a look at a residential security system, in order for an alarm to start, the system must be in the state of alertness and receiving an additional input generated from an intrusion.

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   • What is a real life example of CORBA?

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     Answered Jan 08, 2011 · 11 votes

     CORBA might be used to build a language-independent, O/S-independent distributed system. For example, C++ on Linux developers could build a common distributed system with Java on Windows developers. IDL describes the interfaces that bind the two implementations over a common substrate (CORBA).

     CORBA is also useful when building a plain old distributed object system - it has a rich set of services defined and is generally very well thought out. However, these days - depending on the language - many folks have opted for either simpler (e.g., RMI, protocol buffers) or message-based protocols (e.g., HTTP) for building distributed systems, so it's not as common. CORBA suffered from design-by-committee (esp on things like security).

     More info:

     http://en.wikipedia.org/wiki/Common_Object_Request_Broker_Architecture

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   • What is a real life example of sorting?

     14.7K Sorting is the process of arranging a set of items in a specific order. This order can be based on any number of criteria, such as alphabetical order, numerical order, or date order. Sorting is a common task in many different fields, including computer science, data analysis, and library science.

     Real-Life Examples of Sorting:

     There are many real-life examples of sorting. Here are a few:

     1. Sorting a deck of cards:

     When you sort a deck of cards, you are arranging them in a specific order, such as by suit or by rank. This makes it easier to find the cards you need when you are playing a game.

     2. Sorting a list of names:

     When you sort a list of names, you are arranging them in alphabetical order. This makes it easier to find the name you are looking for.

     3. Sorting a list of numbers:

     When you sort a list of numbers, you are arranging them in numerical order. This makes it easier to find the largest or smallest number in the list.

     4. Sorting a list of dates:

     When you sort...

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3. www.geeksforgeeks.org · graph-types-and-applicationsTypes of Graphs with Examples - GeeksforGeeks

   www.geeksforgeeks.org · graph-types-and-applications

   

   • Finite Graphs. A graph is said to be finite if it has a finite number of vertices and a finite number of edges. A finite graph is a graph with a finite number of vertices and edges.
   • Infinite Graph: A graph is said to be infinite if it has an infinite number of vertices as well as an infinite number of edges.
   • Trivial Graph: A graph is said to be trivial if a finite graph contains only one vertex and no edge. A trivial graph is a graph with only one vertex and no edges.
   • Simple Graph: A simple graph is a graph that does not contain more than one edge between the pair of vertices. A simple railway track connecting different cities is an example of a simple graph.

4. People also ask

   What is the difference between a trivial graph and a non-trivial graph?

   • The trivial graph is the graph on one vertex. This graph meets the definition of connected vacuously (since an edge requires two vertices). A non-trivial connected graph is any connected graph that isn't this graph.

   terminology - What is a Non-Trivial Connected Graph? - Mathematics

   math.stackexchange.com/questions/2080962/what-is-a-non-trivial-connected-graph

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   What is a non-trivial connected graph?

   • This graph meets the definition of connected vacuously (since an edge requires two vertices). A non-trivial connected graph is any connected graph that isn't this graph. A non-trivial connected component is a connected component that isn't the trivial graph, which is another way of say that it isn't an isolated point.

   terminology - What is a Non-Trivial Connected Graph? - Mathematics

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   How do you know if a graph is infinite or trivial?

   • 2. Infinite Graph: A graph is said to be infinite if it has an infinite number of vertices as well as an infinite number of edges. 3. Trivial Graph: A graph is said to be trivial if a finite graph contains only one vertex and no edge. A trivial graph is a graph with only one vertex and no edges.

   Types of Graphs with Examples - GeeksforGeeks

   www.geeksforgeeks.org/graph-types-and-applications/

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   What is a nonempty graph?

   • I use empty graph to mean a graph without edges, and therefore a nonempty graph would be a graph with at least one edge. According to both wikipedia.com and wikibooks.com, a trivial graph is a graph with 1 vertex and 0 edges. You must log in to answer this question.

   What is a nontrivial graph? - Mathematics Stack Exchange

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5. math.stackexchange.com · questions · 1364996terminology - What is a nontrivial graph? - Mathematics Stack ...

   math.stackexchange.com · questions · 1364996

   

   Jul 17, 2015 · I use empty graph to mean a graph without edges, and therefore a nonempty graph would be a graph with at least one edge. According to both wikipedia.com and wikibooks.com, a trivial graph is a graph with 1 vertex and 0 edges.

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7. math.stackexchange.com · questions · 2080962terminology - What is a Non-Trivial Connected Graph ...

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   Jan 2, 2017 · A non-trivial connected graph is any connected graph that isn't this graph. A non-trivial connected component is a connected component that isn't the trivial graph, which is another way of say that it isn't an isolated point.

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9. math.libretexts.org · Courses · Kansas_State2.3: Understanding Graphs of Functions - Mathematics LibreTexts

   math.libretexts.org · Courses · Kansas_State

   

   Aug 24, 2022 · Learning Objectives. Determine the value of a function at a point using a graph. Use the vertical line test to determine if a graph represents a function. Determine domain and range of a function using a graph.

10. math.mit.edu · research · highschoolGraph Theory and the Six Degrees of Separation - MIT Mathematics

    math.mit.edu · research · highschool

    

    Figure 5: For a given property P, t(n) is a threshold function De nition 16. For a graph G with property P, a graph with P is monotone if any graph with the same set of vertices containing G as a subgraph also has P. Every non-trivial monotone increasing property of subsets has a threshold function. 3.3 Connectivity

11. math.stackexchange.com · questions · 2005144What is a trivial and a non-trivial solution in terms of ...

    math.stackexchange.com · questions · 2005144

    

    Nov 8, 2016 · A solution which does not consist of all zeros is not trivial. The trivial solution means that all the variables are zero (i.e. the solution is the zero vector). If the system is homogeneous and it has a unique solution, it will always be the zero solution.

12. www.cuemath.com · algebra · homogeneous-system-ofHomogeneous System of Linear Equations - Solution, Examples

    www.cuemath.com · algebra · homogeneous-system-of

    

    A homogeneous system of linear equations is a system in which each linear equation has no constant term. Learn how to find the trivial and nontrivial solutions of a homogeneous linear system along with many examples.