What is Type: Definition and 952 Discussions

In programming languages, a type system is a logical system comprising a set of rules that assigns a property called a type to the various constructs of a computer program, such as variables, expressions, functions or modules. These types formalize and enforce the otherwise implicit categories the programmer uses for algebraic data types, data structures, or other components (e.g. "string", "array of float", "function returning boolean"). The main purpose of a type system is to reduce possibilities for bugs in computer programs by defining interfaces between different parts of a computer program, and then checking that the parts have been connected in a consistent way. This checking can happen statically (at compile time), dynamically (at run time), or as a combination of both. Type systems have other purposes as well, such as expressing business rules, enabling certain compiler optimizations, allowing for multiple dispatch, providing a form of documentation, etc.
A type system associates a type with each computed value and, by examining the flow of these values, attempts to ensure or prove that no type errors can occur. The given type system in question determines what constitutes a type error, but in general, the aim is to prevent operations expecting a certain kind of value from being used with values for which that operation does not make sense (logic errors). Type systems are often specified as part of programming languages and built into interpreters and compilers, although the type system of a language can be extended by optional tools that perform added checks using the language's original type syntax and grammar.

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  1. karush

    MHB S8.02.4.58 type of discontinuity tikx with 1/sqrt(1-cos(2x))

    $\tiny{s8.2.4 58}$ desmos Let $f(x)=\dfrac{1}{\sqrt{1-\cos{2x}}}$ (a) Graph $f$ What type of discontinuity does it appear to have at 0?\\ (b) Calculate the left and right limits of $f$ at 0. \\ Do these valuesn' confirm your answer to part (a)? doesn't the limit going to 0 infinity both...
  2. T

    What type of genes do I have and how do I find out?

    Hi again. About over 5 years ago I was reading something on the net about a certain human gene that is unique and rare in humans called the freak gene, super human, or slow turtle gene. Is there another name for it and does this gene exist in humans? How do I find out if I have this gene or...
  3. evinda

    MHB Construct grammar and find its type

    Hello! (Wave) I want to construct a grammar for the language $L=\{ a^i b^j \mid i,j \geq 1, i>j\}$. What type of grammar is it? I have thought to start with the command $S \to aSb$. Since we can have several times $a,b$ I have thought to continue with the command $S \to aDb$. Since there have...
  4. B

    I Type 1 Error Increases with Sample Size?

    My professor is teaching us that type 1 error increases with sample size if you keep alpha constant, and I think I understand what she's getting at, but I can't find anything online that supports the idea. Here's what I'm thinking: We accept that there is an equal chance that a flipped coin...
  5. D

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    Hi I am a beginner in this topic. I didn't understand this question type clearly.What does it mean" With Magnitude and Unit Vectors" exactly? May you help me for the solution step by step :). Thanks in advance.
  6. E

    Classical Suggestions for fun problem-solving type books

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  7. S

    Mathematica Mathematica: DiscretePlot type plot with x values from a list

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  8. K

    Are there microfibers of a different type?

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  9. Eclair_de_XII

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  10. M

    MHB Define matrix to get a row operation of type 1

    Hey! :o We have the matrices \begin{equation*}a=\begin{pmatrix}1 & 2 & 3 \\ 4 & 5 & 6 \\ 7 & 8 & 9\end{pmatrix}, \ \ E_{1,3}=\begin{pmatrix}0 & 0 & 1 \\ 0 & 0 & 0 \\ 0 & 0 & 0\end{pmatrix}, \ \ u_n=\begin{pmatrix}1 & 0 & 0 \\ 0 & 1 & 0 \\ 0 &0 & 1\end{pmatrix}\end{equation*} I have...
  11. C

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  12. archaic

    B Understanding La Disjonction de Cas Reasoning

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  13. M

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  14. Saracen Rue

    B What type of sequence is this; can you express it using a sum or product?

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  15. mastermechanic

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    Hello everyone, I'm a mechanical engineering student working on a reconnaissance/surveillance UAV system. To summarize it, 1-) It will either have FLIR camera system (If I can afford it) or GoPro with turret system. In either case it will transmit 4K or lower quality video record. It will also...
  16. heff001

    A Are Type Theory and Category Theory Viable Alternatives to Set Theory?

    Are Type Theory and Category Theory alternatives to Set Theory?
  17. O

    B Blocking all type of energies/waves/signals

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  18. archaic

    B Does the Limit Hold for f'(x)>g'(x) Even if f(x)/g(x) is not a Constant?

    Would this ##f'(x)>g'(x)\,\forall x\in [a,\infty)\text{ and }f,\,g\underset{\infty}{\to}0\Rightarrow \lim_{x\to\infty}f(x)/g(x)=0## hold if ##\frac{f(x)}{g(x)}\neq c##?
  19. A

    B Doping in semicondctors (n type)

    Summary: why do group 15 share the same conduction band as the silicon atoms. In a n type extrinsic semiconductors the atoms of silicon are doped with the atoms of a gr15 element to increase the number of valance electrons in the semiconductor. But the reason given to me by my teacher and what...
  20. Cheesycheese213

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  21. Wrichik Basu

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  22. starstruck_

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    NOTE: Was not sure where to post this as it is a math question, but a part of my "Theoretical Physics" course. I have no idea where to start this and am probably doing this mathematically incorrect. given the function f(z) = cos(z+1/z) there should exist a singular point at z=0 as at z = 0...
  23. fluidistic

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  24. L

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    I’m writing a story about warfare several decades in the future. While I was doing research into possible directed-energy weapons, I came across something interesting. I don’t know if there is a name for the whole concept but it can be generally described as the use of brief laser pulses to...
  25. szcsongor

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  26. navneet9431

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  27. Wrichik Basu

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    Today, we went to our old house and brought back two record players. One is an HMV stereo 666, and another is of Philips. They have been lying there for almost twenty years, since my grandfather passed away. Maybe they are more than 40 years old. One of them had the plug broken, and dad's memory...
  28. R

    Need help understanding what an ADT (abstract data type) is exactly

    I've read quantum quests data structures bible but I'm still confused. I need help in simplest terms understanding what an ADT actually is and how it's different from a data structure. So a data structure is a way of organizing data. I can understand why a stack, or a queue would fall under...
  29. V

    A What type of function satisfy a type of growth condition?

    Let ##f:\mathbb{R}^n\rightarrow\mathbb{R}^n##. Is there any class of function and some type of "growth conditions" such that bounds like below can be established: \begin{equation} ||f(x)||\geq g\left( \text{dist}(x,\mathcal{X})\right), \end{equation} with ##\mathcal{X}:= \{x:f(x)=0\}## (zero...
  30. V

    MHB What type of growth conditions can establish \$||f(x)||\geq K \text{dist}(x,\mathcal{X})\$?

    Hello! I have the following question: Let $f:\mathbb{R}^n\rightarrow \mathbb{R}^n$. Is there any class of class of functions and some kind of "growth conditions" such that bounds like below can be established: \begin{equation} ||f(x)||\geq g\left( \text{dist}(x,\mathcal{X})\right)...
  31. H

    RNA-seq data analaysis: probability of making at least one type I error

    In general the probability of getteing at least one type I error is P=1-(1-a)^m. With m being the number of tests and a the probabiliy of getting a type I error. But i do not know how to get an expression with m0
  32. DaniV

    A Mapping the Phase Space of Type II Superconductors

    Due to my lab work I want to try map the phase space that created with critical external magnetic field H_c and the critical current J_c through the superconductor of type II. the critical transition happen from the Abrokosov phase to the non-superconductor phase, occurred by the fact that in...
  33. K

    Type of Joints in portal frame

    I was told that for building portal frame, the beam to column connection must be rigid , which means, it has to be fixed , while the column to foundation connection can be either fixed or pinned, am I right ? I couldn't find anything about this online . Pls help
  34. S

    ASTM A1011 CS Type B Steel: Yield Strength & Properties

    I'm currently working on a design project which requires using sheet metal with ASTM A1011 CS Type B steels. Reading their latest designation for this type of steel, it is shown that the yield strength varies between 30 - 50 ksi. [1] Maybe it's just because I'm new and naive, but I find this...
  35. A

    State what type of reaction this is

    I believe It's fission, but am Unsure. As for X I will try solve later.
  36. S

    A Is there any theory that can be modeled in any type of space?

    Is there any theory in physics that can be modeled in any type of space (Hilbert space, Euclidean, Non-Euclidean...etc)? And if yes, could that theory also contain/be compatible with all types of (physical) symmetries?
  37. pluralangel

    seeking help finding the initial velocity of a type 3 projectile

    hi, so I've been trying to find the initial velocity of this projectile; but i ended up getting a negative value for seconds squared. I've gone over my solution multiple times but don't see where i went wrong. alternatively, was i supposed to take the absolute value of seconds squared? thanks...
  38. .Scott

    I Is there a term for this type of unknown experimental interference?

    You collect 200 data points, 100 with input ##A## and 100 with input ##A'##. For all 100 ##A## you get output ##C## and for all 100 ##A'## you get ##C'##. That's way more than 5 standard deviations, so you're ready to publish... But not really. Because what matters is not just that input ##A##...
  39. J

    Statistics: How to differentiate Type A and B uncertainty?

    I tried to find examples on the internet but I am still confused.
  40. R

    Trying to type "I" with tilde on top (i.e. phasor notation) (MacOS)

    As the title says, I'm looking for a keyboard shortcut to type "I" with a ˜ The option+n shortcut does not work for I or V on MacOS. Thanks!
  41. PeterDonis

    A A Realization of a Basic Wigner's Friend Type Experiment

    See this recent paper: https://arxiv.org/abs/1902.05080
  42. Wrichik Basu

    What type of electrical contact joint is this?

    While working on an old electric iron, I found this joint in the wires: Any idea what this joint is? Does it have a special name? The wires are in a horrible condition, so I have to change them. How can I build this joint by myself? Or are such wires readily available in the market?
  43. K

    Which Tally type should I use in MCNP6?

    I have a problem where I want to model the dose in Gy of a gamma source on a surface as a function of distance. In the papers I have read several different tallys have been used which leaves me a little confused as to the appropriate tally. In the papers the *F4Mesh, F4, F6, and *F8 tallys were...
  44. R

    Other Transitioning from PhD to a different type of research position

    I'm currently in the process of applying for research positions in my field, unfortunately it's somewhat niche and research positions rarely become available. When they do they tend to go to those who they know already. So, I'm having to look at different research fields, which is kind of...
  45. Baibhab Bose

    How to type mathematical expressions?

    I don't know how to type mathematical symbols and equations and stuff. Like if I want to ask something here in physics forum, I need to type mathematical expressions like everyone here does. How can I do that? Do I need any software?
  46. TechTree

    Suitable plastic type for animal enclosure?

    Hello, So I've got a pet hamster which I'm trying to build an enclosure for. And so I was wondering what would be the most suitable type of plastic to use for the walls and floor. Obviously it's going to have the appropriate ventilation as the top and the front will be made entirely out of metal...
  47. R

    MHB What Type of Math is Used in Fortune's Algorithm?

    I've heard that Fortune's Algorithm is the fastest algorithm yet found to generate a voronoi diagram. I am far from being able to understand it, but I got interested in it because I want to learn about procedural generation. My question is, what sort of mathematics would I have to be familiar...
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