Crossword Solver > found answer > LISSAJOUSFIGURE (lissajous figure)

Welcome to Anagrammer Crossword Genius! Keep reading below to see if lissajous figure is an answer to any crossword puzzle or word game (Scrabble, Words With Friends etc). Scroll down to see all the info we have compiled on lissajous figure.

CROSSWORD
ANSWER

lissajousfigure

lissajous figure

Searching in Crosswords ...

The answer LISSAJOUSFIGURE (lissajous figure) has 0 possible clue(s) in existing crosswords.

Searching in Word Games ...

The word LISSAJOUSFIGURE (lissajous figure) is NOT valid in any word game. (Sorry, you cannot play LISSAJOUSFIGURE (lissajous figure) in Scrabble, Words With Friends etc)

There are 15 letters in LISSAJOUSFIGURE ( A¹E¹F⁴G²I¹J⁸L¹O¹R¹S¹U¹ )

To search all scrabble anagrams of LISSAJOUSFIGURE, to go: LISSAJOUSFIGURE?

Rearrange the letters in LISSAJOUSFIGURE and see some winning combinations

Searching in Dictionaries ...

Definitions of lissajous figure in various dictionaries:

LISSAJOUS FIGURE - In mathematics, a Lissajous curve , also known as Lissajous figure or Bowditch curve , is the graph of a system of parametric equations ...

Word Research / Anagrams and more ...

Keep reading for additional results and analysis below.

Lissajous figure might refer to
In mathematics, a Lissajous curve , also known as Lissajous figure or Bowditch curve , is the graph of a system of parametric equations* * * * x * = * A * sin * ⁡ * ( * a * t * + * δ * ) * , * * y * = * B * sin * ⁡ * ( * b * t * ) * , * * * {\displaystyle x=A\sin(at+\delta ),\quad y=B\sin(bt),} * which describe complex harmonic motion. This family of curves was investigated by Nathaniel Bowditch in 1815, and later in more detail by Jules Antoine Lissajous in 1857. * The appearance of the figure is highly sensitive to the ratio a/b. For a ratio of 1, the figure is an ellipse, with special cases including circles (A = B, δ = π/2 radians) and lines (δ = 0). Another simple Lissajous figure is the parabola (b/a = 2, δ = π/4). Other ratios produce more complicated curves, which are closed only if a/b is rational. The visual form of these curves is often suggestive of a three-dimensional knot, and indeed many kinds of knots, including those known as Lissajous knots, project to the plane as Lissajous figures. * Visually, the ratio a/b determines the number of "lobes" of the figure. For example, a ratio of 3/1 or 1/3 produces a figure with three major lobes (see image). Similarly, a ratio of 5/4 produces a figure with five horizontal lobes and four vertical lobes. Rational ratios produce closed (connected) or "still" figures, while irrational ratios produce figures that appear to rotate. The ratio A/B determines the relative width-to-height ratio of the curve. For example, a ratio of 2/1 produces a figure that is twice as wide as it is high. Finally, the value of δ determines the apparent "rotation" angle of the figure, viewed as if it were actually a three-dimensional curve. For example, δ = 0 produces x and y components that are exactly in phase, so the resulting figure appears as an apparent three-dimensional figure viewed from straight on (0°). In contrast, any non-zero δ produces a figure that appears to be rotated, either as a left–right or an up–down rotation (depending on the ratio a/b). * * Lissajous figures where a = 1, b = N (N is a natural number) and * * * * * δ * = * * * * N * − * 1 * * N * * * * * π * 2 * * * * * {\displaystyle \delta ={\frac {N-1}{N}}{\frac {\pi }{2}}} * are Chebyshev polynomials of the first kind of degree N. This property is exploited to produce a set of points, called Padua points, at which a function may be sampled in order to compute either a bivariate interpolation or quadrature of the function over the domain [−1,1] × [−1,1]. * The relation of some Lissajous curves to Chebyshev polynomials is clearer to understand if the Lissajous curve which generates...

Lissajous figure might refer to

In mathematics, a Lissajous curve , also known as Lissajous figure or Bowditch curve , is the graph of a system of parametric equations*
*
*
* x
* =
* A
* sin
* ⁡
* (
* a
* t
* +
* δ
* )
* ,
*
* y
* =
* B
* sin
* ⁡
* (
* b
* t
* )
* ,
*
*
* {\displaystyle x=A\sin(at+\delta ),\quad y=B\sin(bt),}
* which describe complex harmonic motion. This family of curves was investigated by Nathaniel Bowditch in 1815, and later in more detail by Jules Antoine Lissajous in 1857.
* The appearance of the figure is highly sensitive to the ratio a/b. For a ratio of 1, the figure is an ellipse, with special cases including circles (A = B, δ = π/2 radians) and lines (δ = 0). Another simple Lissajous figure is the parabola (b/a = 2, δ = π/4). Other ratios produce more complicated curves, which are closed only if a/b is rational. The visual form of these curves is often suggestive of a three-dimensional knot, and indeed many kinds of knots, including those known as Lissajous knots, project to the plane as Lissajous figures.
* Visually, the ratio a/b determines the number of "lobes" of the figure. For example, a ratio of 3/1 or 1/3 produces a figure with three major lobes (see image). Similarly, a ratio of 5/4 produces a figure with five horizontal lobes and four vertical lobes. Rational ratios produce closed (connected) or "still" figures, while irrational ratios produce figures that appear to rotate. The ratio A/B determines the relative width-to-height ratio of the curve. For example, a ratio of 2/1 produces a figure that is twice as wide as it is high. Finally, the value of δ determines the apparent "rotation" angle of the figure, viewed as if it were actually a three-dimensional curve. For example, δ = 0 produces x and y components that are exactly in phase, so the resulting figure appears as an apparent three-dimensional figure viewed from straight on (0°). In contrast, any non-zero δ produces a figure that appears to be rotated, either as a left–right or an up–down rotation (depending on the ratio a/b).
*
* Lissajous figures where a = 1, b = N (N is a natural number) and
*
*
*
*
* δ
* =
*
*
*
* N
* −
* 1
*
* N
*
*
*
*
* π
* 2
*
*
*
*
* {\displaystyle \delta ={\frac {N-1}{N}}{\frac {\pi }{2}}}
* are Chebyshev polynomials of the first kind of degree N. This property is exploited to produce a set of points, called Padua points, at which a function may be sampled in order to compute either a bivariate interpolation or quadrature of the function over the domain [−1,1] × [−1,1].
* The relation of some Lissajous curves to Chebyshev polynomials is clearer to understand if the Lissajous curve which generates...

Anagrammer Crossword Solver is a powerful crossword puzzle resource site. We maintain millions of regularly updated crossword solutions, clues and answers of almost every popular crossword puzzle and word game out there. We encourage you to bookmark our puzzle solver as well as the other word solvers throughout our site. Explore deeper into our site and you will find many educational tools, flash cards and plenty more resources that will make you a much better player. Lissajous figure: In mathematics, a Lissajous curve , also known as Lissajous figure or Bowditch curve , is the graph ...

lissajousfigure