I have a nested fraction on the right-hand side of an equation. I use the LaTeX code as follows to produce the equation: \frac{T_{cmb}}{T_*}}. However, the fractions in the denominator and numerator of the main fraction appear too small on a regular A4 page. How can I make them larger while preserving the size of text on the left-hand side.1 Answer. Here I use scalerel package to create a delimiter that is 1.5pt larger above and below (3 pt total) than \big . I call it \pig. I limit the overall width to 5pt. While it will technically "work" with any delimiter, it is really intended for either ( or \ {. Use with [ produces an undesirable line thickness.^ I seriously suggest everyone struggling with the same problem as OP to use \big(notation. Syntax: ( \big( \Big( \bigg( \Bigg(– Ufos. Aug 24, 2016 at 11:25. ... The \vphantom command (short for "vertical phantom") tells LaTeX to makes an invisible box that is the height of its contents latexref.xyz/ ...Open this LaTeX fragment in Overleaf. The above example produces the following output: \[\Biggl \langle 3x+7 \biggr \rangle\] The commands \Biggl and \biggr establish the size of …Yes, parentheses have several other uses in LaTeX, including grouping mathematical expressions, defining function parameters, and indicating the ...Are you tired of tossing and turning on your old, uncomfortable mattress? It may be time to consider investing in a natural latex mattress. Not only are these mattresses known for ...There are several distinct differences between silicone and latex rubbers, the primary difference being that latex is a natural product and silicone is man-made. Consumers may choo...The WP Dot product article uses the LaTeX \cdot character for dot products. Wikipedia shows a raised decimal point example "£21·48", which uses the "middle dot" character. Wikipedia notates chemistry hydrates like "CuSO4 · 5H2O", which uses the "middle dot" character. Combined units can also be written with a dot, like "N·m".Oct 2, 2018 · Oct 2, 2018 at 14:32. Add a comment. 4. As both of the previously posted answers have already pointed out, by far the most elegant way to obtain thinner curly braces and round parentheses is to switch to a textfont/mathfont combination whose curly braces and round parentheses are thinner than those of Computer Modern. More important than the align here is to insert a + or a \times to make it clear what is going on (mathematically). – mickep. Jul 14, 2022 at 20:18. @mickep, oh I see what you meant. There should be a product between two parenthesis. – …However, a little tip is enough to solve the problem: In the “Insert” tab, click on “Text field” and write the desired curly bracket in the text field. Now click on this text field at the edge with the right mouse button and select “AutoShape / Format graphic”. Under Line select “No Color” for “Color”. The curly brackets in ...The pair \left \right takes parentheses big enough to enclose a box inside. Here the boxes are of the same height, so braces are the same. However your version on math.stackexchange works very well. \Bigl, \Bigr and so on are sometimes the only acceptable solution, as in this case. If you really need enlarging braces, you can change ...Note that the second expression not only employs \biggl(and \biggr) but also uses a positive thinspace after the opening parenthesis and a negative thinspace to position the exponent 2. Incidentally, the recommendation to use \biggl( and \biggr) in this case instead of \left( and \right) isn't just my personal preference; it's also given on p ...For example, you might want to change inline math, such as \ (f (x) = \frac {1} {1+x}\), and include it in the paragraph but typeset in display style: \ (\displaystyle f (x) = \frac {1} {1+x}\), although it does impact heavily on the line spacing. TeX engines provide several commands which can be used to override the default style in which a ...Journals tend to recommend mixing the parentheses to save some space. Also one should be a bit careful about the sizes. Sometimes there is no need to use huge parentheses around a long equation, if the large part is in the middle and it is not large (above/below) at the ends. The brackets are too big; there is too much space below 'e'. How do I correct this? Thanks. Report abuse Report abuse. Type of abuse. Harassment is any behavior intended to disturb or upset a person or group of people. Threats include any threat of suicide, violence, or harm to another. Any content of an adult theme or inappropriate to a ...\paren[\Big]{\frac12} Here is a full example \documentclass{article} \usepackage{mathtools} \DeclarePairedDelimiter{\paren}{\lparen}{\rparen} \begin{document} Here with the starred version of the command, the parentheses grow automatically, the nonstarred just gives the usual parens, and in the third version with the 'Big' option, you …6 Jun 2012 ... If, within brackets -- () or [] or {} -- I enter a fraction within a ... The brackets are too big; there is too much space below 'e'. How do ...Not the answer, but it's better to use \Biggl ( for the left parenthesis and \Biggr) for the right (they deal better with spacing). And works with big, Big ,…. – Manuel. Dec 11, 2012 at 21:17. 2. @Manuel -- ah, but you do have the answer, except it's \biggl ( and \biggr) that match the inner parentheses. – barbara beeton.Note that the "\" becomes "\\", and I've removed the \left and \right parenthesis modifiers, which introduce unwanted (I think) space between L and (. Share. Improve this answer. Follow ... How to write formula in Latex(Using Big Brackets) 2. Double square braces. Hot Network QuestionsMay 18, 2019 · A question about how to use the \\big, \\bigr, \\Bigl, and \\biggl commands in LaTeX to create big parenthesis in equations. See answers from experts and users with examples, links, and code snippets. 27. The mtpro2 package ( MathTime Professional II) provides extra-large (up to 10 cm tall) fence symbols -- round parentheses, square brackets, curly braces, angle brackets, etc. -- via its \LEFTRIGHT command. Note that the full mtpro2 package isn't free of charge; however, its "lite" subset, which is all that's needed to produce extra-large ...Jan 2, 2010 · In the result, the left parenthesis on the first line is very large, because of the fraction inside. In the second line, since there is no fraction, the parenthesis is small. How can I make the one on the second line match the one on the first line in height? 40. You can define your own macro via the \def command anywhere in your document. For example. \def\lc{\left\lceil} \def\rc{\right\rceil} and then just write \lc x \rc. Or you use the \providecommand in the preamble, …Q: What are the advantages and disadvantages of each method for making parentheses bigger in LaTeX? A: The two main methods for making parentheses bigger in LaTeX have the following advantages and disadvantages: \Large command: Advantages: Simple to use; Works with all parentheses; Disadvantages: Can make the parentheses too big2. Building on LaTeXer's answer, there is also the dcases environment provided by the mathtools package (which extends amsmath ). Its advantage is that all equations are in display mode by default. \documentclass{article} \usepackage{mathtools} \begin{document} \begin{align} \begin{dcases} \frac{dS_d}{dt} = A + \lambda_dR_d + …Are you tired of tossing and turning on your old, uncomfortable mattress? It may be time to consider investing in a natural latex mattress. Not only are these mattresses known for ...Apr 22, 2022 · Brackets are symbols, such as parentheses, braces, square brackets, etc that are mostly used to group expressions or clarify the order in which operations are to be done in an algebraic expression. Different Brackets and their Latex Code : TERM. SYMBOL. LATEX. 1. left parenthesis. Open this LaTeX fragment in Overleaf. The above example produces the following output: \ [ F = G \left ( \frac {m_1 m_2} {r^2} \right) \] Notice that to insert the parentheses or brackets, the \left and \right commands are used. Even if you are using only one bracket, both commands are mandatory. \left and \right can dynamically adjust the size ... Viewed 2k times. 5. Around an image, I would like to place parentheses that are large enough to enclose an image. To give you an idea, I tried: \ [ \left ( \includegraphics [width=0.2\textwidth] {figurename} \right) \] However, this does not work, because the parentheses are too small and not properly aligned (too low).Do not just use \bigg without the "l" or "r" as this changes the parentheses to an ordinary symbol instead of a mathopen or mathclose atom and that changes the spacing! There are a few things not quite correct in your formula: in amsmath alignment should be specified to the left of the relational symbol, i.e., &= not =&.30 Nov 2009 ... The other option would be to manually specify the size of the brackets: \bigg( \frac ab \bigg| a \bigg). Not nice, but probably the easiest ...Apr 15, 2013 · 27. The mtpro2 package ( MathTime Professional II) provides extra-large (up to 10 cm tall) fence symbols -- round parentheses, square brackets, curly braces, angle brackets, etc. -- via its \LEFTRIGHT command. Note that the full mtpro2 package isn't free of charge; however, its "lite" subset, which is all that's needed to produce extra-large ... \bordermatrix is a plain tex structure, and the fact that it is intended to incorporate an extra row at the top is what is forcing the outer parentheses to be much too large. instead, you can use one of the amsmath "fenced" matrices. 12 Feb 2013 ... Larger outer parentheses make the equation much easier to read, especially as part of a complex equation. It's clear at a glance that the ...Well actually, it's not the most simple way (see my answer:-) But you just shouldn't use such an interface in LaTeX. – David Carlisle. Jun 24, 2013 at 20:57. Add a comment | 4 If you're using LaTeX, first of all get rid of $$ and prefer the construction ... Big floor brackets size around fraction with small denominator. 6. New fraction line ...2. Building on LaTeXer's answer, there is also the dcases environment provided by the mathtools package (which extends amsmath ). Its advantage is that all equations are in display mode by default. \documentclass{article} \usepackage{mathtools} \begin{document} \begin{align} \begin{dcases} \frac{dS_d}{dt} = A + \lambda_dR_d + …The size of brackets and parentheses can be manually set, or they can be resized dynamically in your document, as shown in the next example: \ [ F = G \left( \frac{m_1 m_2} {r^2} \right) \] Open this LaTeX fragment in Overleaf. The above example produces the following output: F = G(m1m2 r2) F = G ( m 1 m 2 r 2) Notice that to insert the ... Open this LaTeX fragment in Overleaf. The above example produces the following output: \ [ F = G \left ( \frac {m_1 m_2} {r^2} \right) \] Notice that to insert the parentheses or brackets, the \left and \right commands are used. Even if you are using only one bracket, both commands are mandatory. \left and \right can dynamically adjust the size ... Tour Start here for a quick overview of the site Help Center Detailed answers to any questions you might have Meta Discuss the workings and policies of this siteHere is an overview of sizes in LaTeX: TikZ TikZ thicknes. Usage example: \draw[ultra thick, blue,dashed](a -| current plot begin) -- (a); ... and parentheses ( ) can be adjusted with these commands: $$-1 + x (x \big (1 + x \Big (2 + x \bigg (3 + x \Bigg (4 + x \Bigg) \bigg) \Big) \big)) $$ The result will look like this. Sizes of parentheses ...More important than the align here is to insert a + or a \times to make it clear what is going on (mathematically). – mickep. Jul 14, 2022 at 20:18. @mickep, oh I see what you meant. There should be a product between two parenthesis. – …Aug 25, 2020 · 4. I need to type \big ( but with a vertical line in it, either in the middle, or end-to-end (would prefer having both options). To clarify, I need something along the lines of \llparenthesis (package stmaryrd ), but of exact size \big (. For some obscure reason about delimiters \big\llparenthesis fails to work, but \bigllbracket does work. The pair \left \right takes parentheses big enough to enclose a box inside. Here the boxes are of the same height, so braces are the same. However your version on math.stackexchange works very well. \Bigl, \Bigr and so on are sometimes the only acceptable solution, as in this case. If you really need enlarging braces, you can change ...Open this LaTeX fragment in Overleaf. The above example produces the following output: \ [ F = G \left ( \frac {m_1 m_2} {r^2} \right) \] Notice that to insert the parentheses or brackets, the \left and \right commands are used. Even if you are using only one bracket, both commands are mandatory. \left and \right can dynamically adjust the size ...Oct 4, 2019 · 2. Building on LaTeXer's answer, there is also the dcases environment provided by the mathtools package (which extends amsmath ). Its advantage is that all equations are in display mode by default. \documentclass{article} \usepackage{mathtools} \begin{document} \begin{align} \begin{dcases} \frac{dS_d}{dt} = A + \lambda_dR_d + \sigma_d(1-\gamma ... Open this LaTeX fragment in Overleaf. The above example produces the following output: \[\Biggl \langle 3x+7 \biggr \rangle\] The commands \Biggl and \biggr establish the size of …Apr 24, 2015 · Tour Start here for a quick overview of the site Help Center Detailed answers to any questions you might have Sorted by: 55. When TeX is in display-style math mode and the amsmath package is loaded, \frac and \dfrac are equivalent, and the material in the numerator and denominator portions of \frac will be typeset in "text-style math" mode by default. This entails, among other things, that summation and integral symbols will be typeset in text style ...Large enough bracket size. Ask Question Asked 9 years, 7 months ago. Modified 9 years, 5 months ago. Viewed 1k times 0 $$\Sh(E/K)=\ker\textbraceleft WC(E/K)\rightarrow\prod_{\nu\in M_K}WC(E/K_{\nu})\textbraceright$$ ... LaTeX uneven bracket. Hot Network Questions If philosophy is based on reason and rationality, then …I have a nested fraction on the right-hand side of an equation. I use the LaTeX code as follows to produce the equation: \frac{T_{cmb}}{T_*}}. However, the fractions in the denominator and numerator of the main fraction appear too small on a regular A4 page. How can I make them larger while preserving the size of text on the left-hand side.Any \left needs a matching \right. Some characters produce different glyphs when being applied to \left etc. For example, < produces a less-than sign, while \left< produces an angle bracket. \big etc. use the same interpretation as \left (because they use \left internally). Technically, \left uses the delimiter code, while unadorned characters ... 3. I almost achieved a good-looking result by sticking an aligned environment inside the align*, but the horizontal spacing was not quite aligned. So here, instead, I make a stack of the parenthesied items. Note that a number of stacking parameters were defined in the preamble... \documentclass {article} \usepackage {amsmath,stackengine ...Sep 29, 2012 · Parentheses ¶. The size of brackets [ ], (curly) braces { } and parentheses ( ) can be adjusted with these commands: $$-1+x ( x \big( 1+ x\Big(2 + x \bigg(3+ x\Bigg(4+x \Bigg) \bigg) \Big) \big) )$$. The result will look like this. Sizes of parentheses. Sep 29, 2012. by Martin Thoma Code. LaTeX 29. Tikz 6. Additionally, dividing both sides by 3 can eliminate the need for the big brackets. ... latex to put in the brackets, turns out I had spelled ...If you want to close the bracket, it is probably no case distinction and you shouldn't use the cases environment. To enclose something between (big) delimiters use the \left and \right commands. E.g., to enclose something between braces, try \[\left\{\begin{array}{cc}1&2\\3&4\end{array}\right\}\].If this doesn't solve your problem, ask …For x label, I want to change the font of the text part to times new roman and font size to something smaller. The function fontsize=12 applies to both the equation and the text parts in the label and the text part seems bigger than the math part, though they are both 12. In addition, I need to adjust the size of the parenthesis in y label.If you’re in the market for a new mattress, you’ve likely come across the term “natural latex mattress.” But what exactly is it, and why should you consider investing in one? In th...Open this LaTeX fragment in Overleaf. The above example produces the following output: \ [ F = G \left ( \frac {m_1 m_2} {r^2} \right) \] Notice that to insert the parentheses or brackets, the \left and \right commands are used. Even if you are using only one bracket, both commands are mandatory. \left and \right can dynamically adjust the size ...Here is the code for making Paranthesis bigger in LaTex.$\\left(\\frac{1}{2} + \\frac{x}{y}\\right)$My Other LaTeX Videos: https://www.youtube.com/playlist?list=...Open this LaTeX fragment in Overleaf. The above example produces the following output: F = G ( m 1 m 2 r 2) Notice that to insert the parentheses or brackets, the \left and \right commands are used. Even if you are using only one bracket, both commands are mandatory. \left and \right can dynamically adjust the size, as shown by the next example:Postby Cham » Sat May 21, 2011 3:10 pm. I want to write something inside some parenthesis, but I'm having troubles with the parenthesis size. Of course, I tried the standard commands : \left ( \right), \big ( \big), \bigg ( \bigg), \Big ( \Big, but the results aren't satisfying. More specifically, consider this example :9. \usepackage {bm} and then \bm { [}. Maybe this isn't bold enough for you in which case you can use a font with a heavy variant (eg the commercial mathtime set) and \usepackage {mathtime,bm} and then \hm { [}. Otherwise maybe you can use a different symbol, such as double square bracket \llbracket from \usepackage {stmaryrd}.11. \ļeft and \right need to be balanced before changing line. You can balance a \left ( with \right. and a \left. balances a \right) (notice the dot), as in Boris ' answer. However, I would suggest you to use the \bigl, \bigr family of commands; they don't have to be balanced, they produce more consistent spacing, and they don't require ... Learn how to use the \\marquis macro to create large parentheses around text in LaTeX, with different options for the size and font of the parentheses and the text. See …11. \ļeft and \right need to be balanced before changing line. You can balance a \left ( with \right. and a \left. balances a \right) (notice the dot), as in Boris ' answer. However, I would suggest you to use the \bigl, \bigr family of commands; they don't have to be balanced, they produce more consistent spacing, and they don't require ...Feb 25, 2018 · Here's a deliberately differently-styled answer, which uses a single align* environment and no array environments. Observe that the \cup symbols at the starts of rows 2, 3, and 4 are shifted to the right of the = symbol in row 1, to emphasize that p (at the start of row 1) is the union of the remaining stuff on all four lines. Simple explanation. You put your equations inside \begin {array} {l} \end {array}, the l mean align left. You separate every element of the array with & and use \\ to change line and put them on different lines. \left\ { creates the curly brace on the left and \right. means there's no visible delimiter on the right.Jun 11, 2015 · 1. You can simply temporarily switch the font to a larger one, say, using relsize. Still, Steven's stretchrel'ed parens look most economical to me so far, when compared to scalerel'd parens, relsized parens, and Werner's math-mode parens: \RequirePackage {fix-cm}% thanks to egreg \documentclass {article} \pagestyle {empty} \usepackage {nicefrac ... Jul 15, 2022 · More important than the align here is to insert a + or a \times to make it clear what is going on (mathematically). – mickep. Jul 14, 2022 at 20:18. @mickep, oh I see what you meant. There should be a product between two parenthesis. – RFZ. Jul 14, 2022 at 20:28. 3. I almost achieved a good-looking result by sticking an aligned environment inside the align*, but the horizontal spacing was not quite aligned. So here, instead, I make a stack of the parenthesied items. Note that a number of stacking parameters were defined in the preamble... \documentclass {article} \usepackage {amsmath,stackengine ...Dec 9, 2010 · A question and answer site for LaTeX users and developers. The question asks how to type a very big parenthesis in LaTeX using amsmath package, and the answer provides a solution using \\left and \\right commands with an invisible "thing" of a certain height. The answer also explains the difference between \\big and \\Bigg, and the need to use \\vast, \\vastl, and \\vastr commands for different sizes. I get similar errors if I try to put the entire equation inside big parenthesis using \left( and \ri... Stack Exchange Network. Stack Exchange network consists of 183 Q&A communities including Stack Overflow, ... TeX - LaTeX Stack Exchange is a question and answer site for users of TeX, LaTeX, ConTeXt, and related typesetting systems. It only ...1. There's also \vert and \Vert, which end up being | and ||, respectively. The advantage of the former is that there's also \lvert, \rvert, \lVert, and \rVert, which end up being | and ||, but having the appropriate …Dec 27, 2015 · The pair \left \right takes parentheses big enough to enclose a box inside. Here the boxes are of the same height, so braces are the same. However your version on math.stackexchange works very well. \Bigl, \Bigr and so on are sometimes the only acceptable solution, as in this case. If you really need enlarging braces, you can change ... The "big" family of command don't suffer from these limitations. Another case in which the "big" family produces better results is illustrated in the following simple example: \documentclass{article} \usepackage{amsmath} \begin{document} Wrong result \[ \lvert \lvert x \rvert - \lvert x \rvert \rvert \leq \lvert x-y \rvert. 1 Answer. Here is my version, the top one is what I believe to see in the image, the bottom one is what you've described in your question. The \limits is not necessary. \bigwedge is a unary operator and already has \limits applied to it as a result.Sep 22, 2015 · 3 Answers. Use \ {…\}. But, as the contents inside the braces may vary in size, it would be better to use the DeclarePairedDelimiter command from the mathtools package: This defines a \set {…} command, which accepts an optional argument: \big, \Big, \bigg, or \Bigg, which implicitly adds a pair of \bigl…\bigr, &c. in front of the braces ... Just for the sake of completeness (i.e. environments where amsmath may not be available): There is a pseudo-parenthesis . that can be used to terminate an opening parenthesis: \documentclass{standalone} \begin{document} $\left\{ \begin{array}{ c l } \frac{x^2 - x}{2} & \quad \textrm{if } x \geq 1 \\ 0 & \quad \textrm{otherwise} \end{array ...
If someone introduced these abominations to LaTeX, it'll be a huge disappointment to me. – AVB. Mar 27, 2010 at 22:54. 2. one does not normally elaborate on a joke, but if you insist -- these Equation-Editor-style parentheses are ugly. You can even see how the three parts they are made of do not fit together all that well where they meet .... Black power ranger
Welcome to TeX.SE! Please edit your posting to create a compilable MWE (minimum working example, starting with \documentclass and ending with \end{document}) that generates the problem behavior you're looking to address.In particular, please be sure to indicate which package(s) you load that provide the \bordermatrix macro; there are …Latex overlapping horizontal curly braces. Hot Network Questions ... One had a werewolf in human form disguised as a red riding hood, saying "my, my, what big eyes you have" at the end Pasta Bar for 250 people When ordering off Amazon, are you allowed to keep a product that's significantly more valuable than what you originally ordered? ...16 Sept 2021 ... I won't insert a large right curly bracket across multiple lines of lessons that defining from the same chapter in a Google document? Can I do ...21 Jul 2013 ... ... largest, most trusted online community for developers to learn, share ... Notice that LaTeX parentheses fit very well the content. One might ...In LaTeX the markup is \langle and \rangle ... Matrices edit. An explicitly given matrix is commonly written between large round or square brackets:.Open this LaTeX fragment in Overleaf. The above example produces the following output: \[ F = G \left( \frac{m_1 m_2}{r^2} \right) \] Notice that to insert the parentheses or brackets, the \left and \right commands are used. Even if you are using only one bracket, both commands are mandatory.\left and \right can dynamically adjust the size, as shown by the next …Not the answer, but it's better to use \Biggl ( for the left parenthesis and \Biggr) for the right (they deal better with spacing). And works with big, Big ,…. – Manuel. Dec 11, 2012 at 21:17. 2. @Manuel -- ah, but you do have the answer, except it's \biggl ( and \biggr) that match the inner parentheses. – barbara beeton.Open this LaTeX fragment in Overleaf. The above example produces the following output: \[ F = G \left( \frac{m_1 m_2}{r^2} \right) \] Notice that to insert the parentheses or brackets, the \left and \right commands are used. Even if you are using only one bracket, both commands are mandatory.\left and \right can dynamically adjust the size, as shown by the next …Dec 27, 2015 · The pair \left \right takes parentheses big enough to enclose a box inside. Here the boxes are of the same height, so braces are the same. However your version on math.stackexchange works very well. \Bigl, \Bigr and so on are sometimes the only acceptable solution, as in this case. If you really need enlarging braces, you can change ... An alternative solution is to use align and/or gather commands, rather than matrices or arrays. For example: $$\left(\begin{align*} a&= 7+3\\ b+c&=d\\ &\text{and ...Do not just use \bigg without the "l" or "r" as this changes the parentheses to an ordinary symbol instead of a mathopen or mathclose atom and that changes the spacing! There are a few things not quite correct in your formula: in amsmath alignment should be specified to the left of the relational symbol, i.e., &= not =&.I was wondering if there is already available a short reply to the best practices about using brackets in math mode. For instance, when should I use (, instead of any of the following: \left(,\left(.,\big(,\bigg(,\Big(,\Bigg(. In specific equations you may want to manually adjust the spacing and when dealing with split equations in more than one line.1. There's also \vert and \Vert, which end up being | and ||, respectively. The advantage of the former is that there's also \lvert, \rvert, \lVert, and \rVert, which end up being | and ||, but having the appropriate …40. You can define your own macro via the \def command anywhere in your document. For example. \def\lc{\left\lceil} \def\rc{\right\rceil} and then just write \lc x \rc. Or you use the \providecommand in the preamble, …All the predefined mathematical symbols from the TeX package are listed below. More symbols are available from extra packages. Contents. 1Greek letters. 2Unary operators. 3Relation operators. 4Binary operators. …Brackets and parentheses are very common in mathematical formulas. Ordinary symbols () [] make parentheses and brackets (2+3) [3+7]. Use \ { and \} for curly braces. These do not scale with the formula in between. You can control the size of brackets by using \left and \right. This will make the sizes adjust automatically to the formula they ...The WP Dot product article uses the LaTeX \cdot character for dot products. Wikipedia shows a raised decimal point example "£21·48", which uses the "middle dot" character. Wikipedia notates chemistry hydrates like "CuSO4 · 5H2O", which uses the "middle dot" character. Combined units can also be written with a dot, like "N·m".The way to type the large parentheses is to type \left( for the left ... parenthesis, and let LaTeX do the rest of the work for you. Thus the above ....