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# Not equal sign LaTeX

### syntax - How to write a not equal to sign in Latex

3. If you want a literal != in a pseudocode listing, you can use \mathrel {\mathtt {!=}}. You could also use ≠ from the monospace font. Unicode also has the symbol ⍯ from APL. It's U+236F, and you can use it in LuaLaTeX or XeLaTeX. Share Name. not equal. Description. Relation symbol. Code. \ne. \ne. ≠. \ne ≠ is similar or equal to \sim: is similar to \propto: is proportional to or \neq or \ne: is not equal t You will start your LaTeX document in the usual way. To write less than or equal to, use the command $a \leq \$b. To write greater than or equal to, use the command $a \geq \$b. The required Dollar sign you get by pressing the keys [Shift] and ; a Backslash you get with the [Alt] key and the question mark button

### LaTeX Base LaTeX not equal symbo

I'm using TexMaker on Ubuntu 11.04, with whichever tex distribution the package manager installed by default. My problem is this: Code: [Select all] [Expand/Collapse] [Download] (untitled.tex) even if $\lambda(i) \neq 0$ for $i > j$. The problem is that \neq always appears as an equals sign = in the produced file Active Oldest Votes. 5. This works perfectly on Overleaf: https://v2.overleaf.com/read/nmghqystczhy. \documentclass {article} \begin {document} $\ne$ \end {document} This is what appears: I think it's only a zooming problem, even with your template ( https://v2.overleaf.com/read/zjpfypcqzxgn) the symbol is correct \documentclass{article} \usepackage{amsmath} \begin{document}\noindent Equations with numbers: align \begin{align} 2 + 2 &= 4\\ \frac{\sqrt{y}}{x^2} &= a \end{align} Equations without numbers: align* (the * removes the numbers) \begin{align*} 2 + 2 &= 4\\ \frac{\sqrt{y}}{x^2} &= a \end{align*} The \& symbol is defines alignmnet points, it can go near any symbols or characters and allows different placements: \begin{align*} 1 & 2 & 3 & 4 & 5 & 6\\ &&& 4 \\ &&&&& 6 \end{align*} This can be. To produce a not equal sign: Windows Alt 2260 (using the numerical keyboard, with Num Lock on) MacOS ⌥ Option = Ubuntu Ctrl ⇧ Shift u 2260 ⏎ Return (or Space) Unicode U+2260 HTML ≠ · ≠ LaTex \neq MatLab ~= Mathematica != Similar characters: ≨ · ≩ ·

### List of LaTeX mathematical symbols - OeisWik

• An online LaTeX editor that's easy to use. No installation, real-time collaboration, version control, hundreds of LaTeX templates, and more. Features & Benefit
• g languages, limiting themselves to the 7-bit ASCII character set and typeable characters , use ~= , != , /= , or <> to represent their Boolean inequality operator
• $=$ means equal, how to write not equal What about real numbers, rat... Stack Exchange Network Stack Exchange network consists of 176 Q&A communities including Stack Overflow , the largest, most trusted online community for developers to learn, share their knowledge, and build their careers
• In LaTeX, there are several ways to create equations: start with \ ( and end with \). inside dollar symbols: $eq$. use equation block: \begin {equation} \end {equation} In an equation, you might need many mathematical symbols. Some symbols are quired packages: amsmath, amssymb or mathtools
• LaTeX symbols have either names (denoted by backslash) or special characters. They are organized into seven classes based on their role in a mathematical expression. This is not a comprehensive list. Refer to the external references at the end of this article for more information. 1 Class 0 (Ord) symbols: Simple / ordinary (noun) 1.1 Latin letters and Arabic numerals 1.2 Greek letters 1.3.
• LATEX Mathematical Symbols The more unusual symbols are not deﬁned in base LATEX (NFSS) and require \usepackage{amssymb} 1 Greek and Hebrew letters β \beta λ \lambda ρ \rho ε \varepsilon Γ \Gamma Υ \Upsilo

### Problem with not equal Math Symbol - LaTe

• Selected LaTeX commands for math symbols and special typographic characters. Home > LaTeX > Math Symbols Contact. Selected LaTeX Math Symbols Note If you do not find here what you are looking for, you may want to download the comprehensive LaTeX symbols guide. Content Relational operators Logic symbol
• How can I put a question mark above a less-than-or-equal-to symbol(\leq) in LaTeX? latex. Share. Improve this question. Follow asked Feb 25 '10 at 3:49. Mike Mike. Sign up using Email and Password Submit. Post as a guest. Name. Email. Required, but never shown Post Your Answer.
• In logic, a set of symbols is commonly used to express logical representation. The following table lists many common symbols, together with their name, pronunciation, and the related field of mathematics.Additionally, the third column contains an informal definition, the fourth column gives a short example, the fifth and sixth give the Unicode location and name for use in HTML documents
• The does not equal or is not equal to sign is an expression of the inequality between two different numbers, variables, integers, or concepts.It is a variation on the equals sign, which is an expression of mathematical equality.The not equals sign can be typed using the following commands: U+2260; 2260, Alt+X in Microsoft Windows
• In order to omit the math-mode within a text-paragraph, LaTeX knows text-mode commands for these symbols. Greater than (>): \textgreater. Less than (<): \textless. Non-strict inequalities (and ), however, can only be produced using the inline math mode. $a \le b$ $b \ge a$ Finally, the equal symbol (=) is available in both text- and math-mode

To produce a not equal sign: Windows Alt 2260 (using the numerical keyboard, with Num Lock on) MacOS ⌥ Option = Ubuntu Ctrl ⇧ Shift u 2260 ⏎ Return (or Space) Unicode U+2260 HTML ≠ · ≠ LaTex \neq MatLab ~= Mathematica != Similar characters: ≨ · ≩ · ≠ Not equal (relation). Synonym: \ne. \ni ∋ Reflected membership epsilon; has the member (relation). Synonym: \owns. Similar: is a member of \in. \not. Long solidus, or slash, used to overstrike a following operator (relation). Many negated operators are available that don't require \not, particularly with the amssymb package In LaTeX mathematical formulas, the code \equiv produces the triple bar symbol and \not\equiv produces the negated triple bar symbol as output In LaTeX it is coded as \cong. ∼ is a similarity in geometry and can be used to show that two things are asymptotically equal (they become more equal as you increase a variable like n). This is a weaker statement than the other two. In LaTeX it is coded as \sim The minus sign is too close to the fraction bar. It's hard to read. Also, adding {} after the equal sign add too much space after it. It feels unbalanced. The only solution I see is using \: after the minus sign. EDIT : By the way, the new OPEN IN WRITELATEX feature is very nice ! Very usefull

not(A || B || C) => not(A) && not(B) && not (C) Note the change in the boolean operator or and and. Whereas you tried to do: not(A || B || C) => not(A) || not(B) || not(C) Which obviously doesn't work Alexey, LaTeX complains the two commands are foreign. Also, the two symbols are put equal size which is not what I wanted. Artelius's answer matches my needs perfectly. Anyway, thank you all the same. - day Jun 26 '10 at 6:5

The simplest answer: \not\in. The packages txfonts, pxfonts, kpfonts, mathdesign and others provide \notin command, not just mathabx. (If you want to keep the document in the default Computer/Latin Modern, you could load one of these and then load lmodern right afterwards. This command generates the summation operator, . The difference between this and \Sigma, which generates the capital letter. , is that \sum appears larger, and that it supports the limits to be displayed below and above the symbol. The following example illustrates the difference between \sum and \Sigma . This examples are written as Press and hold one of the Alt keys on your keyboard. Whilst holding on to the Alt key, press the Not Equal To Symbol's alt code ( 8800 ). You must use the numeric keypad to type the alt code. If you are using a laptop without the numeric keypad, this method may not work for you TeX has \\int as the integral sign. Integral expressions are formed from the use of sub- and superscript, the judicious use of spacing, and simply writing out the differential. For example, a standard integral in LaTeX looks like \\int_a^b \\! f(x) \\, \\mathrm{d}x. Note the use of \\mathrm to make a Roman d which distinguishes it from the product of variables d and x. Note, too, the use of. Suppose I want to center align the enumerated list. I did this: \begin {center} \begin {enumerate} [label= (\Roman*)] \item Equation 1 \item Equation 2 \item Equation 3 \item Equation 4 \end {enumerate} \end {center} This is not working nicely. I have also tried without 'enumerate' and just 'center' and labeling manually

The does not equal or is not equal to sign is an expression of the inequality between two different numbers, variable s, integers, or concepts. It is a variation on the equals sign, which is an expression of mathematical equality. The not equals sign can be typed using the following commands: U+2260; 2260, Alt+X in Microsoft Windows LaTeX is a sub-package of TeX that further simplifies the TeX typesetting. It is especially useful for documents that contain mathematical symbols and related formulae. Here is a list of LaTeX math symbols. They include the latex degree symbol, does-not-equal sign, greater-than-or-equal-to, less-than-or-equal-to signs, omega symbol, approximately.

sister(Person, Sister) :- parent(Person, Parent), parent(Sister, Parent), not(Person = Sister), woman(Sister). There is also syntax for an infix operator <> which means distinct (or different) Sum-class symbols, or accumulation symbols, are symbols whose sub- and superscripts appear directly below and above the symbol rather than beside it. For example, the following example illustrates that \\sum is one of these elite symbols whereas \\Sigma is not. The terminology from AMS-LaTeX documentation. 1 Table of sum-class symbols 2 Using sum 3 Using prod TeX is smart enough to only show. Equality is special in that there are two ways that two real numbers $a$ and $b$ can be not equal: $$a>b,b>a$$ So, instead of saying $a>b \;\textrm {or}\;b>a$, we write $b\neq a$. For the others, each negation has an existing symbol, so: $$a\not>b \iff a\leq b,\;\,a\nleq b\iff a>b$$ etc. But like the comments say, either is OK

### symbols - Overleaf do not write ≠ - TeX - LaTeX Stack Exchang

You are correct in most cases, but when you're specifying not e.g., !=, then you would want to use or instead of and. - cody_stinson Nov 9 '17 at 0:22 Also, if you feel your question has been answered, go ahead and hit the check mark to close it. - cody_stinson Nov 9 '17 at 0:2 Most tables are excerpted from the LaTeX Command Summary (Botway & Biemesderfer 1989, Providence, RI: TeX Users Group) and reproduced here courtesy of the AAS. Table 1: Special symbols for NOAOprop When used within the affiliation field of the proposal form, the \, \' and \= need to be specified as \a, \a' and \a= since the affiliation is in a tabbing environment Latex symbol not exists. Latex horizontal space: qquad,hspace, thinspace,enspace. Latex square root symbol. Latex degree symbol. LateX Derivatives, Limits, Sums, Products and Integrals. Latex copyright, trademark, registered symbols. Latex euro symbol. Horizontal and vertical curly Latex braces: \left\ {,\right\},\underbrace {} and \overbrace { Thank you Stefan for clarifying about math mode! I completely understand minus signs in that context now. I am unclear about graphs and tables, however, as I had previously asked. The - in the figure looks quite large, more like an en dash or em dash than a minus sign, but when I tried to add to the tick marks, I got a syntax error, I believe The LaTex language is excellent for displaying math, so there is a simple way to type the congruent symbol in LaTex and KaTex. Type \cong into the LaTex or KaTex field to render the congruent sign. You can also create the sign for not congruent using \ncong in LaTex or KaTex This is the font ligatures feature, which uses ligatures to combine the characters in fonts that support them. This feature is disabled by default in the standard editor, and enabled by default in the Reader mode introduced in 2020.3.. This feature can be enabled & disabled for the current project in the project settings window (File | Settings in Windows and Linux or IntelliJ IDEA. I am writing a simple group of equations (General form of weighted graphs) in Live Editor using LaTeX, and I really wish to align the equation signs. (In default LaTeX font, character X and W have different widths) X = (x_1, x_2, \dots, x_n) \ (n \ge 3) \cr. E = \ {e_ {ij} | x_i, x_j \in X\} \cr. W = \ {w_ {ij} | w_ {ij} \ge 0 \ The align environment is used for two or more equations when vertical alignment is desired; usually binary relations such as equal signs are aligned. American Mathematical Society, User's Guide for the amsmath Package 1 Introduction to align 2 Benefits over eqnarray 3 Multiple equations on one line 4 Preamble For all intents and purposes, the align environment is a replacement for the eqnarray. Math symbols deﬁned by LaTeX package «amssymb» No. Text Math Macro Category Requirements Comments 000A5 ¥ U \yen mathord amsfonts YEN SIGN 000AE ® r \circledR mathord amsfonts REGISTERED SIGN 02A87 ⪇ \lneq mathrel amssymb LESS-THAN AND SINGLE-LINE NOT EQUAL TO 02A88 In the latter two TeX versions, a double dollar sign () is used to indicate the beginning and end of display math mode. While the double dollar sign (still) works in LaTeX, it is not part of the official LaTeX command set (in fact, most books on LaTeX don't even mention it) and its use is discouraged. Use the bracket pair $,$ instead. The second is harder already. Personally I'd call this not approximately equal to. I've heard others call it approximately not equal (in a different context). To me, approximately by itself means almost but not exactly, so it gets me wondering how something can be almost unequal My is equal to (=) symbol lacks one of it's lines, and basically looks like this: - . Naturally, this makes my equations look kind of silly. In addition, when I try using it within , I have to use \mbox{=} to display anything at all (I still just get the one line) I was reviewing my Algebra diary, and I noticed a symbol that I was not familiar to: $\subsetneqq$. After some reseach on the internet I eventualy found it (through UNICODE), and found that the name was Subset of above not equal to, but I don't understand it

The symbol may not be trained enough or it is not yet in the list of supported symbols. In the first case you can do the training yourself. In the second case just drop me a line (mail@danielkirs.ch)! I am rewriting parts right now and training isn't functional in this version. I like this. How can I help List of Equal symbols with html entity, unicode number code. Learn how to make over 100 Equal symbols of math, copy and paste text character For less than or equal to replace the g by l. For the strict versions, $\gt$ and $\lt$, you can use $\gt$ and $\lt$, or just the symbols $>$ and $<$. The symbols did sometimes create issues but I think this is fixed by now. For a general guide see MathJax basic tutorial and quick referenc

LaTeXコマンド一覧（リスト） 数学記号（等号、不等号、演算子、集合） 自動的に括弧の大きさを調節（拡大） - left, right; Windows - TeX Live - TeXworks を使ってみよう; 分数 - frac; コマンド の人気記事. 数学記号（等号、不等号、演算子、集合） 矢印記 To produce an almost equal/approximately equal sign: Windows Alt 2248 (using the numerical keyboard, with Num lock on) Ubuntu Ctrl ⇧ Shift u 2248 ⏎ Return (or Space) Unicode U+2248 HTML ≈ · ≈ · ≈ LaTeX \approx. Similar characters: ≃.

### Align equations on equal (=) symbol - TeX - LaTeX Stack

1. $-5\le{t}$ indicates all the numbers that are greater than or equal to $-5$. Note how placing the variable on the left or right of the inequality sign can change whether you are looking for greater than or less than
2. How do I format a cell so that characters such as a leading equal sign are interpreted as text? edit retag flag offensive reopen merge delete. Closed for the following reason the question is answered, right answer was accepted by Alex Kemp close date 2020-07-27 15:42:38.784330
3. To write a vector in Latex, we can use \vec function $\vec{AB} = 0_E$ $$\vec{AB} = 0_E$$ or\overrightarrow function $\overrightarrow{AB} = 0_E$ $$\overrightarrow{AB} = 0_E$$ Note: as Keyboard warrior said in the comments \overrightarrow function looks more like the vector symbol(s) we see in textbooks

### Not equa

It only takes a minute to sign up. Sign up to join this community. Anybody can ask a question Anybody can answer The best answers are voted up and rise to the top Home I want to get the following expression from Mathematica to $\LaTeX$ equal = = not equal \ne 6= less than < < The followign symbols do not have to be surrounded by dollar signs. description command output dollar sign \ percent \% % ampersand \& & pound \# # backslash \textbackslash n left quote marks '' \ right quote marks '' not equal to in MATLAB. Learn more about not equal t

### List of Greek letters and math symbols - Overleaf, Online

An online LaTeX editor that's easy to use. No installation, real-time collaboration, version control, hundreds of LaTeX templates, and more Using this process, we add or subtract terms to both sides of the equation until we have a perfect square trinomial on one side of the equal sign. We then apply the square root property. To complete the square, the leading coefficient, $a$, must equal 1. If it does not, then divide the entire equation by $a$

LaTeX uses a special math mode to display mathematics. There are two types of this math mode: In-line Math Mode. In in-line math mode, we use $signs to enclose the math we want to display, and it displays in-line with our text. For example, typing$\sqrt{x} = 5$gives us Know the LaTeX command you want to use but can't remember how to write it? Here we present a great tips sheet produced by Dave Richeson; it's pre-loaded in Overleaf so you can see how the commands work instantly.. Simply click on the button above to open a version in Overleaf for editing (and to quickly copy and paste the commands you need!) Not equal value or Not equal type is an comparison operator which is used to check whether the two operands are having not equal value or not equal type. The symbolic representation of Not equal value or Not equal type is !==. In this any one should be different either value or type The double equal sign == is used whenever you wish to test for equality; compare the use of the single equal sign = for assignment. As a second example, the expression 2 == 2 is always true. That may not seem helpful or instructive, but below we will see a use for expressions that are necessarily always true ### Equals sign - Wikipedi 1. The OEIS Foundation is supported by donations from users of the OEIS and by a grant from the Simons Foundation 2. How to use not equal to '~=' operator in if statement? Follow 2,214 views (last 30 days) Show older comments. Sohail Ahmed on 21 Feb 2017. Vote. 1. ⋮ . Vote. 1. Commented: Walter Roberson on 28 Nov 2017 Sign in to answer this question. Accepted Answer . John D'Errico on 21 Feb 2017 3. Equality and Inference symbols in LaTeX. Equality and Inference symbols are used yo denote some relation between two physical quantities, numbers, sets, figures or any two things. For example, we use = when two things are equal else we use ≠ . We cannot use our keyboard to write these symbols directly as these are not present on our keyboard There is a lecture series on Digital Signal Processing available on Youtube, in which a symbol appears which quite elegantly states not necessarily equal to by subscripting the not equals sign with the letter n. Screenshot source: Prof. S.C Dutta Roy, Department of Electrical Engineering, IIT Delh This is the symbol table. Supported symbols are listed here (alphabetically). Symbols can also be trained here. Just pick a symbol you sometimes need but tend to forget and click it. A canvas will open for your training input. If there are symbols missing drop me a line or create a pull-request . If you have more specific LaTeX questions though,. By convention you should either not write a multiplication-sign at all, as in $$y=mx+c$$; or you should write it using a vertically centered dot, as in $$3\cdot5=15$$. Do not use symbols like *! In LaTeX you use the command \cdot to make a multiplication-dot. Sometimes you can use the symbol $$\times$$ Not equal to sign: ≠. The not equal to sign, also referred to as the does not equal sign, is a symbol that indicates the inequality of the values or expressions on either side of the symbol. 12 ≠ 17. x 2 ≠ x 3. x - 7 ≠ x + 7. While the above use of ≠ is true for all the cases, it doesn't tell us much other than that the expressions on either side of the symbol are not equal. There are other, more specific inequality relations, like those below. Greater than sign: > LaTeX absolute value symbol. Copied to clipboard! Detail. Value. Name. absolute value. Description. Function symbol ### How can I type the isomorphic,not equal and the set • ⋧ (U+22E7 - Greater-than but not equivalent to) Teckensnittet Arial Unicode MS eller Lucida Sans Unicode har här använts för att visa tecknen. Om de inte visas kan det bero på att du inte har dessa installerade på din dator • The \degreecommand is provided by the gensymbpackage, so if you add: \usepackage{gensymb} to your preamble, that should enable the command. Another alternative is the \textdegreecommand, which is provided by the textcomppackage. And, finally,$^{\circ}$is another way of obtaining roughly the right symbol. Documentation Home • The syntax for not equal in Python. There are two ways to write the Python not equal comparison operator:!= > Most developers recommend sticking with != in Python, because both Python 2 and Python 3 support this syntax. >, however, is deprecated in Python 3, and only works in older versions LaTeX specific issues not fitting into one of the other forums of this category. 3 posts Post by lubica » Tue Sep 01, 2009 1:20 pm . Hello, I know the us dollar sign$ is used to characterize number in latex but how to write a dollar sign itself not to characterize numbers but the currency itself? For example: The cost of material is $. They cannot be used directly in the source. Usually they can be printed if preceded by a backslash: \documentclass{article} \usepackage{array} \usepackage{booktabs} \begin{document} \begin{tabular} {ll} \toprule \multicolumn{2} {c} {\textbf{Special \LaTeX\ characters}}\\ \midrule Number sign: & \# \\ Dollar sign: & \$ \\ Percent sign: & \% \\. LaTeX equal and not equal symbols. Symbol Command $=$ = $\fallingdotseq$ \fallingdotseq: Symbol Command $\ne$ \ne $\not$ \not $\neq$ \ne Strict inequalities differ from the notation $a \neq b$, which means that a is not equal to $b$. The $\neq$ symbol does not say that one value is greater than the other or even that they can be compared in size. In the two types of strict inequalities, $a$ is not equal to $b$

The plus-or-minus sign in LATEX is represented using \pm; it looks like this: ±. How to type Plus/minus sign ±. Hold down the ALT key and type 0177 on the keypad. Hold down the Shift and Option keys and press = ± or ± More symbols in the category: How to type math symbols | How To Type.net As you see, the way the equations are displayed depends on the delimiter, in this case  and . Open an example in Overleaf. Mathematical modes. L a T e X allows two writing modes for mathematical expressions: the inline mode and the display mode. The first one is used to write formulas that are part of a text online LaTeX editor with autocompletion, highlighting and 400 math symbols. Export (png, jpg, gif, svg, pdf) and save & share with note syste The second interval must show all real numbers greater than or equal to $1$, which is written as $\left[1,\infty \right)$. However, we want to combine these two sets. We accomplish this by inserting the union symbol, $\cup$, between the two intervals

Latex symbol not exists; Latex horizontal space: qquad,hspace, thinspace,enspace; Latex square root symbol; Latex degree symbol; LateX Derivatives, Limits, Sums, Products and Integrals; Latex copyright, trademark, registered symbols; Latex euro symbol; Horizontal and vertical curly Latex braces: \left\{,\right\},\underbrace{} and \overbrace{ Honestly, copy and paste might be the easiest option. I found this question when I did a Google search in order to copy the ≠ symbol from somewhere. If you plan to use it multiple times, keep a copy of it somewhere that you can quickly navigate t..

Not Equal. Some white supremacists have adopted the mathematical sign ≠ (Not Equal or Not Equal To) as a white supremacist symbol. The use of this symbol is an attempt to claim that different races are not equal to each other (and to imply that the white race is superior) When there is no linear term in the equation, another method of solving a quadratic equation is by using the square root property, in which we isolate the ${x}^{2}$ term and take the square root of the number on the other side of the equal sign The multiple-argument form Unequal [expr 1, expr 2, ], which may also be input as expr 1!= expr 2!= , returns True if none of the expressions expr i are numerically equal, False if any two are equal and unevaluated otherwise. The single-argument form Unequal [expr] returns True (as, slightly paradoxically, does the single-argument form.

### Learning Latex: List of Mathematical Symbol

• The following characters play a special role in LaTeX and are called special printing characters, or simply special characters. # \$ % & ~ _ ^ \ { } Whenever you put one of these special characters into your file, you are doing something special
• There's no single key on most keyboards, One option that i know of is to use the two angle-bracket keys in succession: <> Another is to use the caret as a not sign followed by the equals sign: ^=.i tend to prefer the first way because, except when expressing disjunction in a logical expression, i have a habit of reserving the caret for exponentiation; but using the caret before an.
• If this issue does not occur when starting Word using /a switch, we can try to rename the Word Global Template: 1. Exit all Office programs. 2. Click Start, click Run, type cmd, and then click OK

not equal to. as in incapable. as in incompetent. as in unable. as in unfit. as in unqualified Live Editor: How to Align Equal Signs in LaTeX... Learn more about live script, live editor, latex, align MATLA

Latex är dels mjölksaften från Hevea brasiliensis och dels det naturgummi som görs av mjölksaften. Latex är flytande i sitt grundtillstånd men kan fås att anta en något fastare form men med elastiska egenskaper. Flytande latex är ofta utspädd med ammoniak som dunstar när massan härdar. Av hälsoskäl rekommenderas därför god luftventilation vid produktion Because the first equation (Unemployed) is narrower than the third equation (Unemployment rate), and the two sets of equations are centered independently on the page, the first pair of equal signs won't be aligned with the second pair. If you want that, instead select all four lines at once; then right-click and choose Align at = I'm not going to argue against any of the existing answers because as far as I can tell, they are all correct. They may or may not be relevant to the situation that caused the question to be asked, but they're correct in their respective domains..

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