Mrthfx

Categorical Unification of Jordan Holder Theorems

A starship is travelling at 0.9c and collides with a small rock. Will it leave a clean hole through, or will more happen?

Coworker asking me to not bring cakes due to self control issue. What should I do?

Non-Cancer terminal illness that can affect young (age 10-13) girls?

Website seeing my Facebook data?

Why did Luke use his left hand to shoot?

Could a warlock use the One with Shadows warlock invocation to turn invisible, and then move while staying invisible?

How to politely refuse in-office gym instructor for steroids and protein

How would an AI self awareness kill switch work?

Does it take energy to move something in a circle?

A fantasy book with seven white haired women on the cover

Does diversity provide anything that meritocracy does not?

Is there a file that always exists and a 'normal' user can't lstat it?

How much mayhem could I cause as a fish?

What to do with threats of blacklisting?

What is the industry term for house wiring diagrams?

Are the positive and negative planes inner or outer planes in the Great Wheel cosmology model?

Why does 0.-5 evaluate to -5?

How vim overwrites readonly mode?

Should I cite R or RStudio?

Does the ditching switch allow an A320 to float indefinitely?

Translation needed for 130 years old church document

When Are Enum Values Defined?

What is the wife of a henpecked husband called?

Riemann Sum approaches Area under Curve

How to define the default vertical distance between nodes?Riemann Sum ConundrumNumerical conditional within tikz keys?TikZ: Drawing an arc from an intersection to an intersectionRiemann Sum for Double IntegralShowing the area between two curves using rectangles (Riemann Sum)Line up nested tikz enviroments or how to get rid of themRiemann sum plotFill area under a smooth curveShading area under curve TikZ

0

I am trying to write a program where I can change the number of subintervals, n( using defnsome number), and the output show that specific number of rectangles in the Riemann Sum. An animation would be great if possible, but the black lines and filled red circles may cause a problem when n is large? I hope I made my intentions clear. Here is my MWE. Have fun! I am interested in all answers!

documentclass{article}

usepackage{tikz}

usetikzlibrary{calc}



begin{document}

begin{center}

begin{tikzpicture}[scale=1.2,declare function={f(x)=((1/3)*(x)^(3)-3*(x)^(2)+8*x-3;}]

coordinate (start) at (.8,{f(.8)});

coordinate (x0) at (1,{f(1)});

coordinate (x1) at (2,{f(2)});

coordinate (x2) at (3,{f(3)});

coordinate (x3) at (4,{f(4)});

coordinate (x4) at (5,{f(5)});

coordinate (end) at (5.05,{f(5.05)});

draw[fill=orange!40!white] (1,0) rectangle (2,{f(1)});

draw[fill=orange!40!white] (2,0) rectangle (3,{f(2)});

draw[fill=orange!40!white] (3,0) rectangle (4,{f(3)});

draw[fill=orange!40!white] (4,0) rectangle (5,{f(4)});

draw (5,0)--(5,{f(5)});

draw [-latex] (-0.5,0) -- (6,0) node (xaxis) [below] {$x$};

draw [-latex] (0,-0.5) -- (0,5) node [left] {$y$};

foreach x/xtext in {1/a=x_{1} ,2/x_{2}, 3/x_{3} , 4/x_{4} , 5/b }

 draw[xshift=x cm] (0pt,3pt) -- (0pt,0pt) 

node[below=2pt,fill=white,font=normalsize]

  {$xtext$};

draw[domain=.5:5.3,samples=200,variable=x,red,<->,thick] plot ({x},{f(x)});                 

foreach n in {0,1,2,3}

draw[red,fill=red] (xn) circle (2pt) node[font=normalsize] {$$};    

draw[<->] (2,-1)--(3,-1) node[above,midway] {$Delta x$};      

end{tikzpicture}

end{center}

end{document}

This outputs:

tikz-pgf animations calc

share

asked 9 mins ago

MathScholarMathScholar

95029

add a comment | 

0

I am trying to write a program where I can change the number of subintervals, n( using defnsome number), and the output show that specific number of rectangles in the Riemann Sum. An animation would be great if possible, but the black lines and filled red circles may cause a problem when n is large? I hope I made my intentions clear. Here is my MWE. Have fun! I am interested in all answers!

documentclass{article}

usepackage{tikz}

usetikzlibrary{calc}



begin{document}

begin{center}

begin{tikzpicture}[scale=1.2,declare function={f(x)=((1/3)*(x)^(3)-3*(x)^(2)+8*x-3;}]

coordinate (start) at (.8,{f(.8)});

coordinate (x0) at (1,{f(1)});

coordinate (x1) at (2,{f(2)});

coordinate (x2) at (3,{f(3)});

coordinate (x3) at (4,{f(4)});

coordinate (x4) at (5,{f(5)});

coordinate (end) at (5.05,{f(5.05)});

draw[fill=orange!40!white] (1,0) rectangle (2,{f(1)});

draw[fill=orange!40!white] (2,0) rectangle (3,{f(2)});

draw[fill=orange!40!white] (3,0) rectangle (4,{f(3)});

draw[fill=orange!40!white] (4,0) rectangle (5,{f(4)});

draw (5,0)--(5,{f(5)});

draw [-latex] (-0.5,0) -- (6,0) node (xaxis) [below] {$x$};

draw [-latex] (0,-0.5) -- (0,5) node [left] {$y$};

foreach x/xtext in {1/a=x_{1} ,2/x_{2}, 3/x_{3} , 4/x_{4} , 5/b }

 draw[xshift=x cm] (0pt,3pt) -- (0pt,0pt) 

node[below=2pt,fill=white,font=normalsize]

  {$xtext$};

draw[domain=.5:5.3,samples=200,variable=x,red,<->,thick] plot ({x},{f(x)});                 

foreach n in {0,1,2,3}

draw[red,fill=red] (xn) circle (2pt) node[font=normalsize] {$$};    

draw[<->] (2,-1)--(3,-1) node[above,midway] {$Delta x$};      

end{tikzpicture}

end{center}

end{document}

This outputs:

tikz-pgf animations calc

share

asked 9 mins ago

MathScholarMathScholar

95029

add a comment | 

I am trying to write a program where I can change the number of subintervals, n( using defnsome number), and the output show that specific number of rectangles in the Riemann Sum. An animation would be great if possible, but the black lines and filled red circles may cause a problem when n is large? I hope I made my intentions clear. Here is my MWE. Have fun! I am interested in all answers!

documentclass{article}

usepackage{tikz}

usetikzlibrary{calc}



begin{document}

begin{center}

begin{tikzpicture}[scale=1.2,declare function={f(x)=((1/3)*(x)^(3)-3*(x)^(2)+8*x-3;}]

coordinate (start) at (.8,{f(.8)});

coordinate (x0) at (1,{f(1)});

coordinate (x1) at (2,{f(2)});

coordinate (x2) at (3,{f(3)});

coordinate (x3) at (4,{f(4)});

coordinate (x4) at (5,{f(5)});

coordinate (end) at (5.05,{f(5.05)});

draw[fill=orange!40!white] (1,0) rectangle (2,{f(1)});

draw[fill=orange!40!white] (2,0) rectangle (3,{f(2)});

draw[fill=orange!40!white] (3,0) rectangle (4,{f(3)});

draw[fill=orange!40!white] (4,0) rectangle (5,{f(4)});

draw (5,0)--(5,{f(5)});

draw [-latex] (-0.5,0) -- (6,0) node (xaxis) [below] {$x$};

draw [-latex] (0,-0.5) -- (0,5) node [left] {$y$};

foreach x/xtext in {1/a=x_{1} ,2/x_{2}, 3/x_{3} , 4/x_{4} , 5/b }

 draw[xshift=x cm] (0pt,3pt) -- (0pt,0pt) 

node[below=2pt,fill=white,font=normalsize]

  {$xtext$};

draw[domain=.5:5.3,samples=200,variable=x,red,<->,thick] plot ({x},{f(x)});                 

foreach n in {0,1,2,3}

draw[red,fill=red] (xn) circle (2pt) node[font=normalsize] {$$};    

draw[<->] (2,-1)--(3,-1) node[above,midway] {$Delta x$};      

end{tikzpicture}

end{center}

end{document}

This outputs:

tikz-pgf animations calc

share

asked 9 mins ago

MathScholarMathScholar

95029

documentclass{article}

usepackage{tikz}

usetikzlibrary{calc}



begin{document}

begin{center}

begin{tikzpicture}[scale=1.2,declare function={f(x)=((1/3)*(x)^(3)-3*(x)^(2)+8*x-3;}]

coordinate (start) at (.8,{f(.8)});

coordinate (x0) at (1,{f(1)});

coordinate (x1) at (2,{f(2)});

coordinate (x2) at (3,{f(3)});

coordinate (x3) at (4,{f(4)});

coordinate (x4) at (5,{f(5)});

coordinate (end) at (5.05,{f(5.05)});

draw[fill=orange!40!white] (1,0) rectangle (2,{f(1)});

draw[fill=orange!40!white] (2,0) rectangle (3,{f(2)});

draw[fill=orange!40!white] (3,0) rectangle (4,{f(3)});

draw[fill=orange!40!white] (4,0) rectangle (5,{f(4)});

draw (5,0)--(5,{f(5)});

draw [-latex] (-0.5,0) -- (6,0) node (xaxis) [below] {$x$};

draw [-latex] (0,-0.5) -- (0,5) node [left] {$y$};

foreach x/xtext in {1/a=x_{1} ,2/x_{2}, 3/x_{3} , 4/x_{4} , 5/b }

 draw[xshift=x cm] (0pt,3pt) -- (0pt,0pt) 

node[below=2pt,fill=white,font=normalsize]

  {$xtext$};

draw[domain=.5:5.3,samples=200,variable=x,red,<->,thick] plot ({x},{f(x)});                 

foreach n in {0,1,2,3}

draw[red,fill=red] (xn) circle (2pt) node[font=normalsize] {$$};    

draw[<->] (2,-1)--(3,-1) node[above,midway] {$Delta x$};      

end{tikzpicture}

end{center}

end{document}

share

asked 9 mins ago

MathScholarMathScholar

95029

share

asked 9 mins ago

MathScholarMathScholar

95029

asked 9 mins ago

MathScholarMathScholar

95029

asked 9 mins ago

MathScholarMathScholar

95029