Bijectivity by polynomial

Consider the map : {0,1,...,$val26} {0,1,...,$val27} defined by

  (mod $val20).

What is the nature of ?
What is the cardinal of the image of ?
Give an element having several inverse images.
Give an element having several images.
Give an element without inverse image.
Give an element without image.
What is the image of ?
What is the inverse image of the subset {$val29}?

Help. Enter -1 if the asked elements do not exist.


Image by polynomial

Consider the map : {0,1,...,$val24} {0,1,...,$val25} defined by

  (mod $val20).

What is the nature of ?
What is the cardinal of the image of ?
Give an element having several inverse images.
Give an element having several images.
Give an element without inverse image.
Give an element without image.
What is the image of ?
What is the inverse image of the subset {$val27}?

Help. Enter -1 if the asked elements do not exist.


Elements by polynomial

Consider the map : {0,1,...,$val24} {0,1,...,$val25} defined by

  (mod $val20).

What is the nature of ?
What is the cardinal of the image of ?
Give an element having several inverse images.
Give an element having several images.
Give an element without inverse image.
Give an element without image.
What is the image of ?
What is the inverse image of the subset {$val27}?

Help. Enter -1 if the asked elements do not exist.


Inverse image by polynomial

Consider the map : {0,1,...,$val24} {0,1,...,$val25} defined by

  (mod $val20).

What is the nature of ?
What is the cardinal of the image of ?
Give an element having several inverse images.
Give an element having several images.
Give an element without inverse image.
Give an element without image.
What is the image of ?
What is the inverse image of the subset {$val27}?

Help. Enter -1 if the asked elements do not exist.


Table by polynomial

Consider the map : {0,1,...,$val23} {0,1,...,$val24} defined by the following polynomial. Determine this map by filling in the table bellow.

  (mod $val20).

$(val27[$m_t])


Bijectivity by table

Consider the map : {0,1,...,$val24} {0,1,...,$val25} defined by

$(val28[$m_t])
$(val30[$m_t])

What is the nature of ?
What is the cardinal of the image of ?
Give an element having several inverse images.
Give an element having several images.
Give an element without inverse image.
Give an element without image.
What is the image of ?
What is the inverse image of the subset {$val27}?

Help. Enter -1 if the asked elements do not exist.


Cube by table

Consider the map : {0,1,...,$val24} {0,1,...,$val25} defined by the following table. Fill-in the last line of the table.

$(val28[$m_t])
$(val30[$m_t])

Image by table

Consider the map : {0,1,...,$val24} {0,1,...,$val25} defined by

$(val28[$m_t])
$(val30[$m_t])

What is the nature of ?
What is the cardinal of the image of ?
Give an element having several inverse images.
Give an element having several images.
Give an element without inverse image.
Give an element without image.
What is the image of ?
What is the inverse image of the subset {$val27}?

Help. Enter -1 if the asked elements do not exist.


Inverse map by table

Consider the map : {0,1,...,$val24} {0,1,...,$val25} defined by the following table. Fill-in the last line of the table.

$(val28[$m_t])
$(val30[$m_t])

Elements by table

Consider the map : {0,1,...,$val24} {0,1,...,$val25} defined by

$(val28[$m_t])
$(val30[$m_t])

What is the nature of ?
What is the cardinal of the image of ?
Give an element having several inverse images.
Give an element having several images.
Give an element without inverse image.
Give an element without image.
What is the image of ?
What is the inverse image of the subset {$val27}?

Help. Enter -1 if the asked elements do not exist.


Inverse image by table

Consider the map : {0,1,...,$val24} {0,1,...,$val25} defined by

$(val28[$m_t])
$(val30[$m_t])

What is the nature of ?
What is the cardinal of the image of ?
Give an element having several inverse images.
Give an element having several images.
Give an element without inverse image.
Give an element without image.
What is the image of ?
What is the inverse image of the subset {$val27}?

Help. Enter -1 if the asked elements do not exist.


Square by table

Consider the map : {0,1,...,$val24} {0,1,...,$val25} defined by the following table. Fill-in the last line of the table.

$(val28[$m_t])
$(val30[$m_t])