Skip to main content
deleted 1008 characters in body
Source Link
DavidC
  • 16.8k
  • 1
  • 42
  • 95

Edit: I misunderstood the intent, on my first try.

Here's oneFindSequenceFunction and FindGeneratingFunction will attempt: to identify how the list was produced.

FindSequenceFunction[{1, 1, 2, 3, 5, 8, 13, 21, 34, 55}, n]

Fibonacci[n]

FindSequenceFunction[{0, 1, 1, 2, 3, 5, 8, 13}, n]

enter image description here

FindGeneratingFunction[{0, 0, 1, 2, 3, 5, 8, 13}, n]

out


My first interpretation:

You may wish to compare these:

Sum[i, {i, 0, n}]
SpokenString[Sum[i, {i, 0, n}]]
SpokenString[Unevaluated[Sum[i, {i, 0, n}]]]

graphic

"1 half times n times the quantity 1 plus n"

"the sum of i over i from 0 to n"

Speak[Sum[i, {i, 0, n}]]
Speak[Unevaluated[Sum[i, {i, 0, n}]]]

Most commands, including graphics functions, should work

g= Graphics[{Thick, Green, Rectangle[{0, -1}, {2, 1}], Red, Disk[], Blue,
   Circle[{2, 0}], Yellow, Polygon[{{2, 0}, {4, 1}, {4, -1}}], Purple,
   Arrowheads[Large], Arrow[{{4, 3/2}, {0, 3/2}, {0, 0}}], Black, 
  Dashed, Line[{{-1, 0}, {4, 0}}]}]

enter image description here

SpokenString[g]

"a graphic consisting of a rectangle, a disk, a circle, a polygon with 3 vertices, an arrow and a line connecting 2 points" with these

Of course, the description is somewhat unclear:

WolframAlpha[%]

wa

Edit: I misunderstood the intent, on my first try.

Here's one attempt:

FindSequenceFunction[{1, 1, 2, 3, 5, 8, 13, 21, 34, 55}, n]

Fibonacci[n]

FindSequenceFunction[{0, 1, 1, 2, 3, 5, 8, 13}, n]

enter image description here

FindGeneratingFunction[{0, 0, 1, 2, 3, 5, 8, 13}, n]

out


My first interpretation:

You may wish to compare these:

Sum[i, {i, 0, n}]
SpokenString[Sum[i, {i, 0, n}]]
SpokenString[Unevaluated[Sum[i, {i, 0, n}]]]

graphic

"1 half times n times the quantity 1 plus n"

"the sum of i over i from 0 to n"

Speak[Sum[i, {i, 0, n}]]
Speak[Unevaluated[Sum[i, {i, 0, n}]]]

Most commands, including graphics functions, should work

g= Graphics[{Thick, Green, Rectangle[{0, -1}, {2, 1}], Red, Disk[], Blue,
   Circle[{2, 0}], Yellow, Polygon[{{2, 0}, {4, 1}, {4, -1}}], Purple,
   Arrowheads[Large], Arrow[{{4, 3/2}, {0, 3/2}, {0, 0}}], Black, 
  Dashed, Line[{{-1, 0}, {4, 0}}]}]

enter image description here

SpokenString[g]

"a graphic consisting of a rectangle, a disk, a circle, a polygon with 3 vertices, an arrow and a line connecting 2 points" with these

Of course, the description is somewhat unclear:

WolframAlpha[%]

wa

FindSequenceFunction and FindGeneratingFunction will attempt to identify how the list was produced.

FindSequenceFunction[{1, 1, 2, 3, 5, 8, 13, 21, 34, 55}, n]

Fibonacci[n]

FindSequenceFunction[{0, 1, 1, 2, 3, 5, 8, 13}, n]

enter image description here

FindGeneratingFunction[{0, 0, 1, 2, 3, 5, 8, 13}, n]

out


added 89 characters in body
Source Link
DavidC
  • 16.8k
  • 1
  • 42
  • 95

Edit: I misunderstood the intent, on my first try.Edit: I misunderstood the intent, on my first try.

Here's one attempt:

FindSequenceFunction[{1, 1, 2, 3, 5, 8, 13, 21, 34, 55}, n]

Fibonacci[n]

FindSequenceFunction[{0, 1, 1, 2, 3, 5, 8, 13}, n]

enter image description here

FindGeneratingFunction[{0, 0, 1, 2, 3, 5, 8, 13}, n]

out

out

 

My first interpretation:My first interpretation:

You may wish to compare these:

Sum[i, {i, 0, n}]
SpokenString[Sum[i, {i, 0, n}]]
SpokenString[Unevaluated[Sum[i, {i, 0, n}]]]

graphic

"1 half times n times the quantity 1 plus n"

"the sum of i over i from 0 to n"

Speak[Sum[i, {i, 0, n}]]
Speak[Unevaluated[Sum[i, {i, 0, n}]]]

Most commands, including graphics functions, should work

g= Graphics[{Thick, Green, Rectangle[{0, -1}, {2, 1}], Red, Disk[], Blue,
   Circle[{2, 0}], Yellow, Polygon[{{2, 0}, {4, 1}, {4, -1}}], Purple,
   Arrowheads[Large], Arrow[{{4, 3/2}, {0, 3/2}, {0, 0}}], Black, 
  Dashed, Line[{{-1, 0}, {4, 0}}]}]

enter image description here

SpokenString[g]

"a graphic consisting of a rectangle, a disk, a circle, a polygon with 3 vertices, an arrow and a line connecting 2 points" with these

Of course, the description is somewhat unclear:

WolframAlpha[%]

wa

Edit: I misunderstood the intent, on my first try.

Here's one attempt:

FindSequenceFunction[{0, 1, 1, 2, 3, 5, 8, 13}, n]

enter image description here

FindGeneratingFunction[{0, 0, 1, 2, 3, 5, 8, 13}, n]

out

My first interpretation:

You may wish to compare these:

Sum[i, {i, 0, n}]
SpokenString[Sum[i, {i, 0, n}]]
SpokenString[Unevaluated[Sum[i, {i, 0, n}]]]

graphic

"1 half times n times the quantity 1 plus n"

"the sum of i over i from 0 to n"

Speak[Sum[i, {i, 0, n}]]
Speak[Unevaluated[Sum[i, {i, 0, n}]]]

Most commands, including graphics functions, should work

g= Graphics[{Thick, Green, Rectangle[{0, -1}, {2, 1}], Red, Disk[], Blue,
   Circle[{2, 0}], Yellow, Polygon[{{2, 0}, {4, 1}, {4, -1}}], Purple,
   Arrowheads[Large], Arrow[{{4, 3/2}, {0, 3/2}, {0, 0}}], Black, 
  Dashed, Line[{{-1, 0}, {4, 0}}]}]

enter image description here

SpokenString[g]

"a graphic consisting of a rectangle, a disk, a circle, a polygon with 3 vertices, an arrow and a line connecting 2 points" with these

Of course, the description is somewhat unclear:

WolframAlpha[%]

wa

Edit: I misunderstood the intent, on my first try.

Here's one attempt:

FindSequenceFunction[{1, 1, 2, 3, 5, 8, 13, 21, 34, 55}, n]

Fibonacci[n]

FindSequenceFunction[{0, 1, 1, 2, 3, 5, 8, 13}, n]

enter image description here

FindGeneratingFunction[{0, 0, 1, 2, 3, 5, 8, 13}, n]

out

 

My first interpretation:

You may wish to compare these:

Sum[i, {i, 0, n}]
SpokenString[Sum[i, {i, 0, n}]]
SpokenString[Unevaluated[Sum[i, {i, 0, n}]]]

graphic

"1 half times n times the quantity 1 plus n"

"the sum of i over i from 0 to n"

Speak[Sum[i, {i, 0, n}]]
Speak[Unevaluated[Sum[i, {i, 0, n}]]]

Most commands, including graphics functions, should work

g= Graphics[{Thick, Green, Rectangle[{0, -1}, {2, 1}], Red, Disk[], Blue,
   Circle[{2, 0}], Yellow, Polygon[{{2, 0}, {4, 1}, {4, -1}}], Purple,
   Arrowheads[Large], Arrow[{{4, 3/2}, {0, 3/2}, {0, 0}}], Black, 
  Dashed, Line[{{-1, 0}, {4, 0}}]}]

enter image description here

SpokenString[g]

"a graphic consisting of a rectangle, a disk, a circle, a polygon with 3 vertices, an arrow and a line connecting 2 points" with these

Of course, the description is somewhat unclear:

WolframAlpha[%]

wa

added 192 characters in body
Source Link
DavidC
  • 16.8k
  • 1
  • 42
  • 95

Edit: I misunderstood the intent, on my first try.

Here's one attempt:

FindSequenceFunction[{0, 1, 1, 2, 3, 5, 8, 13}, n]

enter image description here

FindGeneratingFunction[{0, 0, 1, 2, 3, 5, 8, 13}, n]

out

My first interpretation:

You may wish to compare these:

Sum[i, {i, 0, n}]
SpokenString[Sum[i, {i, 0, n}]]
SpokenString[Unevaluated[Sum[i, {i, 0, n}]]]

graphic

"1 half times n times the quantity 1 plus n"

"the sum of i over i from 0 to n"

Speak[Sum[i, {i, 0, n}]]
Speak[Unevaluated[Sum[i, {i, 0, n}]]]

Most commands, including graphics functions, should work

g= Graphics[{Thick, Green, Rectangle[{0, -1}, {2, 1}], Red, Disk[], Blue,
   Circle[{2, 0}], Yellow, Polygon[{{2, 0}, {4, 1}, {4, -1}}], Purple,
   Arrowheads[Large], Arrow[{{4, 3/2}, {0, 3/2}, {0, 0}}], Black, 
  Dashed, Line[{{-1, 0}, {4, 0}}]}]

enter image description here

SpokenString[g]

"a graphic consisting of a rectangle, a disk, a circle, a polygon with 3 vertices, an arrow and a line connecting 2 points" with these

Of course, the description is somewhat unclear:

WolframAlpha[%]

wa

Edit: I misunderstood the intent, on my first try.

FindGeneratingFunction[{0, 0, 1, 2, 3, 5, 8, 13}, n]

out

You may wish to compare these:

Sum[i, {i, 0, n}]
SpokenString[Sum[i, {i, 0, n}]]
SpokenString[Unevaluated[Sum[i, {i, 0, n}]]]

graphic

"1 half times n times the quantity 1 plus n"

"the sum of i over i from 0 to n"

Speak[Sum[i, {i, 0, n}]]
Speak[Unevaluated[Sum[i, {i, 0, n}]]]

Most commands, including graphics functions, should work

g= Graphics[{Thick, Green, Rectangle[{0, -1}, {2, 1}], Red, Disk[], Blue,
   Circle[{2, 0}], Yellow, Polygon[{{2, 0}, {4, 1}, {4, -1}}], Purple,
   Arrowheads[Large], Arrow[{{4, 3/2}, {0, 3/2}, {0, 0}}], Black, 
  Dashed, Line[{{-1, 0}, {4, 0}}]}]

enter image description here

SpokenString[g]

"a graphic consisting of a rectangle, a disk, a circle, a polygon with 3 vertices, an arrow and a line connecting 2 points" with these

Of course, the description is somewhat unclear:

WolframAlpha[%]

wa

Edit: I misunderstood the intent, on my first try.

Here's one attempt:

FindSequenceFunction[{0, 1, 1, 2, 3, 5, 8, 13}, n]

enter image description here

FindGeneratingFunction[{0, 0, 1, 2, 3, 5, 8, 13}, n]

out

My first interpretation:

You may wish to compare these:

Sum[i, {i, 0, n}]
SpokenString[Sum[i, {i, 0, n}]]
SpokenString[Unevaluated[Sum[i, {i, 0, n}]]]

graphic

"1 half times n times the quantity 1 plus n"

"the sum of i over i from 0 to n"

Speak[Sum[i, {i, 0, n}]]
Speak[Unevaluated[Sum[i, {i, 0, n}]]]

Most commands, including graphics functions, should work

g= Graphics[{Thick, Green, Rectangle[{0, -1}, {2, 1}], Red, Disk[], Blue,
   Circle[{2, 0}], Yellow, Polygon[{{2, 0}, {4, 1}, {4, -1}}], Purple,
   Arrowheads[Large], Arrow[{{4, 3/2}, {0, 3/2}, {0, 0}}], Black, 
  Dashed, Line[{{-1, 0}, {4, 0}}]}]

enter image description here

SpokenString[g]

"a graphic consisting of a rectangle, a disk, a circle, a polygon with 3 vertices, an arrow and a line connecting 2 points" with these

Of course, the description is somewhat unclear:

WolframAlpha[%]

wa

added 79 characters in body
Source Link
DavidC
  • 16.8k
  • 1
  • 42
  • 95
Loading
added 843 characters in body
Source Link
DavidC
  • 16.8k
  • 1
  • 42
  • 95
Loading
Source Link
DavidC
  • 16.8k
  • 1
  • 42
  • 95
Loading