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1. Top results related to what is a non-trivial graph example of interest factor that makes

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

     Top Answer

     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 an example of a lexical error and is it possible that a language has no lexical errors?

     Top Answer

     Answered Aug 15, 2010 · 21 votes

     A lexical error is any input that can be rejected by the lexer. This generally results from token recognition falling off the end of the rules you've defined. For example (in no particular syntax):

     [0-9]+ ===> NUMBER token[a-zA-Z] ===> LETTERS tokenanything else ===> error!

     If you think about a lexer as a finite state machine that accepts valid input strings, then errors are going to be any input strings that do not result in that finite state machine reaching an accepting state.

     The rest of your question was rather unclear to me. If you already have some tools you are using, then perhaps you're best to learn how to achieve what you want to achieve using those tools (I have no experience with either of the tools you mentioned).

     EDIT: Having re-read your question, there's a second part I can answer. It is possible that a language could have no lexical errors - it's the language in which any input string at all is valid input.

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     2/5

   • What is the maximum amount of data that a browser (for example: Chrome) can store in cache?

     Top Answer

     Answered Feb 06, 2024 · 4 votes

     Cache size

     Cache functions differently for different browsers. There is often not a clear "rule" for each browser, and the cache limit and functionality can differ between devices and browsers.

     You stated that the max cache size was 320MB. This may always be true for your device, but if you check on a different device or configure different settings, this will change. Chrome often uses cache sizes larger than 320MB, and can even get into a gigabyte depending on the users hard drive space. Microsoft Edge and Firefox function very similarly.

     Safari is a bit more cloudy in cache, as it is given constraints by iOS to optimize device performance. Firefox also uses dynamic cache, but is configurable (described below), and you can track its size more clearly than Safari cache.

     Increase cache size

     You can increase the size of your cache on Chrome. You cannot adjust the size of the cache for an end user on any of the common browsers.

     For Chrome, you can change the local cache easily using the following these steps:

     • Launch Chrome
     • Right click on the Chrome icon
     • Right click on the line item that reads "Google Chrome"
     • Click on "Properties"
     • Navigate to the "Shortcut" tab
     • Click on the "Target" box
     • Add this to the end of the line: —-disk-cache-size=524000000

     On windows, this will now read "C:\Program Files (x86)\Google\Chrome\Application\chrome.exe" --disk-cache-size=524000000

     This will set the cache to approximately 524MB, but it will likely not be that value, as described here; Chrome takes it as a "hint" to what cache size should be. It may seem desirable to increase this to a massive value, but there will be diminishing returns, and if you go too large you may actually inhibit performance.

     To change cache size on Firefox refer to this article.

     You can change the cache size in Microsoft Edge through a GUI as described here.

     Headers

     You said that you are not setting Cache-Control: max-age as a header, but it would likely be beneficial to do so. For example, if you want the cache to persist for 24 hours, you could do Cache-Control: max-age=86400. Keep in mind that you may encounter issues if you are loading dynamic content but are telling the browser to keep content around for a full 24 hours. If you have truly static content, you could cache it for as long as you want; conversely, truly dynamic content will often be set with Cache-Control: max-age=0.

     Optimize PBI Reports for Cache

     If caching is important to you, you can design your PBI reports accordingly.

     • Use aggregations to reduce the amount of data that needs to be queried and transferred
     • Optimize queries by pre-calculating measures
     • Minimize data size by excluding irrelevant data
     • Use the Performance Analyzer to understand which parts of your PBI report are using the most resurces

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     3/5

   • What is a flag? What is the pygame.SRCALPHA flag used for (I came across that in the example aacircle.py)?

     Top Answer

     Answered Jun 20, 2020 · 4 votes

     I recommend you check out the pygame documentation on surfaces:

     The pixel format can be controlled by passing the bit depth or an existing Surface. The flags argument is a bitmask of additional features for the surface. You can pass any combination of these flags:

     HWSURFACE, creates the image in video memory

     SRCALPHA, the pixel format will include a per-pixel alpha

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     4/5

   • what's an example of a physical system that is not robustly stable?

     Top Answer

     Answered Mar 28, 2015 · 0 votes

     It depends what is meant by "stable". A pot of water at room temperature is "stable" in that all the water is in liquid form. If you boil the water, it becomes "unstable" because the water is in flux between liquid and gaseous form. The physical property in flux is temperature. You could also keep the temperature constant and vary the air pressure if the system. Drop air pressure low enough and the water begins to boil.

     A stable property of the same system could be salinity. It doesn't mater how much salt you add, it's not going to change the water to gaseous form. Again, it depends on what you mean by "stable".

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     5/5

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

   math.stackexchange.com · questions · 2080962

   

   Jan 2, 2017 · 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.

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5. 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.

6. www.math.kit.edu · iag6 · lehreLecture Notes Graph Theory - KIT

   www.math.kit.edu · iag6 · lehre

   

   The graph Gis non-trivial if it contains at least one edge, i.e., E 6= ;. non-trivial Equivalently, Gis non-trivial if Gis not an empty graph. The order of G, denoted by jGj, is the number of vertices of G, i.e., jGj= jVj. order, jGj The size of G, denoted by kGk, is the number of edges of G, i.e., kGk= jEj. size, kGk

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7. Videos

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     Trivial and non trivial graphs

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     Trivial and Non trivial graphs

     Sep 25, 2021

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     How To Graph Polynomial Functions Using End Behavior, Multiplicity & Zeros

     Jan 17, 2021

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8. people.math.sc.edu · sumner · math575spring2009An Introduction to Bipartite Graphs - University of South ...

   people.math.sc.edu · sumner · math575spring2009

   

   Definition. A graph G is bipartite if it is the trivial graph or if its vertex set can be partitioned into two independent, non-empty sets A and B. We refer to { A, B } as a bipartiton of V(G). Note: Some people require a bipartite graph to be non-trivial. Examples include any even cycle, any tree, and the graph below.

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9. appliedmaths.in · Q37---Case-Study--2---In-numberQ37. Case Study — 2 In number theory, it is often important ...

   appliedmaths.in · Q37---Case-Study--2---In-number

   

   Any other factor, if exists, is called non-trivial factor of N. Narcsh has plotted a graph of some constraints (linear inequations) with points A (0, 50), B (20 40), C (50, 100), D (O, 200) and E (IOO, 0). This graph is constructed using three non-trivial constraints and two trivial constraints. One of the non-trivial constraints is x + 2y ≥100.

10. math.libretexts.org · Bookshelves · Combinatorics_and16.2: Basics - Mathematics LibreTexts

    math.libretexts.org · Bookshelves · Combinatorics_and

    

    Feb 18, 2022 · If G G contains vertices v,v′ v, v ′ and edge e = {v,v′}, e = {v, v ′}, then v, e,v′, e, v v, e, v ′, e, v is a nontrivial cycle which is not proper. Example 16.2.1 16.2. 1: A forest of trees. The graph in Figure 16.2.1 16.2. 1 is acyclic. Each of its connected components is a tree.

11. 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

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

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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

    math.stackexchange.com/questions/1364996/what-is-a-nontrivial-graph

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12. brilliant.org · wiki · graph-theoryGraph Theory | Brilliant Math & Science Wiki

    brilliant.org · wiki · graph-theory

    

    Examples of graph theory frequently arise not only in mathematics but also in physics and computer science. Terminology. Eulerian Graphs. Planar Graphs. Graph Coloring. Terminology. A non-trivial graph consists of one or more vertices (or nodes) connected by edges.