One baby to another says -
I'm lucky to have met you
I don't care what you think
Unless it is about me
It is now my duty to completely drain you
A travel through a tube
And end up in your infection
Chew your meat for you
Pass it back and forth
In a passionate kiss
From my mouth to yours
I like you
With eyes so dialated,
I've become your pupil
You've taught me everything
Without a poison apple
The water is so yellow, I'm a healthy student
Indebted and so grateful -
Vacuum out the fluids
Chew your meat for you
Pass it back and forth
In a passionate kiss
From my mouth to yours
I like you
One baby to another says -
I'm lucky to have met you
I don't care what you think
Unless it is about me
It is now my duty to completely drain you
A travel through a tube
And end up in your infection
Chew your meat for you
Pass it back and forth
In a passionate kiss
From my mouth to yours
I like you
With eyes so dialated,
I've become your pupil
You've taught me everything
Without a poison apple
The water is so yellow, I'm a healthy student
Indebted and so grateful -
Vacuum out the fluids
Chew your meat for you
Pass it back and forth
In a passionate kiss
From my mouth to yours
I like you
One baby to another says -
I'm lucky to have met you
I don't care what you think
Unless it is about me
It is now my duty to completely drain you
A travel through a tube
And end up in your infection
Chew your meat for you
Pass it back and forth
In a passionate kiss
From my mouth to yours
I like you
With eyes so dialated,
I've become your pupil
You've taught me everything
Without a poison apple
The water is so yellow, I'm a healthy student
Indebted and so grateful -
Vacuum out the fluids
Chew your meat for you
Pass it back and forth
In a passionate kiss
From my mouth to yours
I like you
One baby to another says -
I'm lucky to have met you
I don't care what you think
Unless it is about me
It is now my duty to completely drain you
A travel through a tube
And end up in your infection
Chew your meat for you
Pass it back and forth
In a passionate kiss
From my mouth to yours
I like you
With eyes so dialated,
I've become your pupil
You've taught me everything
Without a poison apple
The water is so yellow, I'm a healthy student
Indebted and so grateful -
Vacuum out the fluids
Chew your meat for you
Pass it back and forth
In a passionate kiss
From my mouth to yours
I like you
Teenage angst has paid off well
Now I'm bored and old
Self-appointed judges judge
More than they have sold
If she floats than she is not
A witch like we had thought
A down payment on another
One at salem's lot
Serve the servants - Oh no [x4]
That legendary divorce is such a bore
As my bones grew they did hurt
They hurt really bad
I tried hard to have a father
But instead I had a dad
I just want you to know that I
Don't hate you anymore
There is nothing I could say
That I haven't thought before
Serve the servants - Oh no [x4]
That legendary divorce is such a bore
Serve the servants - Oh no [x7]
That legendary divorce is such a bore
Teenage angst has paid off well
Now I'm bored and old
Self-appointed judges judge
More than they have sold
If she floats than she is not
A witch like we had thought
A down payment on another
One at salem's lot
Serve the servants - Oh no [x4]
That legendary divorce is such a bore
As my bones grew they did hurt
They hurt really bad
I tried hard to have a father
But instead I had a dad
I just want you to know that I
Don't hate you anymore
There is nothing I could say
That I haven't thought before
Serve the servants - Oh no [x4]
That legendary divorce is such a bore
Serve the servants - Oh no [x7]
That legendary divorce is such a bore
Teenage angst has paid off well
Now I'm bored and old
Self-appointed judges judge
More than they have sold
If she floats than she is not
A witch like we had thought
A down payment on another
One at salem's lot
Serve the servants - Oh no [x4]
That legendary divorce is such a bore
As my bones grew they did hurt
They hurt really bad
I tried hard to have a father
But instead I had a dad
I just want you to know that I
Don't hate you anymore
There is nothing I could say
That I haven't thought before
Serve the servants - Oh no [x4]
That legendary divorce is such a bore
Serve the servants - Oh no [x7]
That legendary divorce is such a bore
Truth - covered in security
I can't let you smother me
I'd like to, but it couldn't work
Trading off and taking turns
I don't regret a thing
And I've got this friend, you see
Who makes me feel and I
Wanted more than I could steal
I'll arrest myself, I'll wear a shield
I'll go out of my way to prove I still
I still smell her on you
Don't - tell me what I wanna hear
Afraid of never knowing fear
Experience anything you need
I'll keep fighting jealousy
Until it's fucking gone
And I've got this friend, you see
Who makes me feel and I
Wanted more than I could steal
I'll arrest myself, I'll wear a shield
I'll go out of my way to prove I still
I still smell her on you
Truth! - covered in security
I can't let you smother me
I'd like to but it couldn't work
Trading off and taking turns
I don't regret a thing
And I've got this friend, you see
Who makes me feel and I
Wanted more than I could steal
I'll arrest myself, I'll wear a shield
I'll go out of my way to make you a deal
We've made a pact to learn from who
Ever we want without new rules
We'll share what's lost and what we grew
They'll go out of their way
To prove they still
Still smell her on you [x3]
oad up on guns, bring your friends
It's fun to lose and to pretend
She's over bored and self assured
Oh no, I know a dirty word
Hello, hello, hello, how low? [x3]
Hello, hello, hello!
With the lights out, it's less dangerous
Here we are now, entertain us
I feel stupid and contagious
Here we are now, entertain us
A mulatto
An albino
A mosquito
My libido
Yay! [x3]
I'm worse at what I do best
And for this gift I feel blessed
Our little group has always been
And always will until the end
Hello, hello, hello, how low? [x3]
Hello, hello, hello!
With the lights out, it's less dangerous
Here we are now, entertain us
I feel stupid and contagious
Here we are now, entertain us
A mulatto
An albino
A mosquito
My libido
Yay! [x3]
And I forget just why I taste
Oh yeah, I guess it makes me smile
I found it hard, it's hard to find
Oh well, whatever, never mind
Hello, hello, hello, how low? [x3]
Hello, hello, hello!
With the lights out, it's less dangerous
Here we are now, entertain us
I feel stupid and contagious
Here we are now, entertain us
A mulatto
An albino
A mosquito
My libido
oad up on guns, bring your friends
It's fun to lose and to pretend
She's over bored and self assured
Oh no, I know a dirty word
Hello, hello, hello, how low? [x3]
Hello, hello, hello!
With the lights out, it's less dangerous
Here we are now, entertain us
I feel stupid and contagious
Here we are now, entertain us
A mulatto
An albino
A mosquito
My libido
Yay! [x3]
I'm worse at what I do best
And for this gift I feel blessed
Our little group has always been
And always will until the end
Hello, hello, hello, how low? [x3]
Hello, hello, hello!
With the lights out, it's less dangerous
Here we are now, entertain us
I feel stupid and contagious
Here we are now, entertain us
A mulatto
An albino
A mosquito
My libido
Yay! [x3]
And I forget just why I taste
Oh yeah, I guess it makes me smile
I found it hard, it's hard to find
Oh well, whatever, never mind
Hello, hello, hello, how low? [x3]
Hello, hello, hello!
With the lights out, it's less dangerous
Here we are now, entertain us
I feel stupid and contagious
Here we are now, entertain us
A mulatto
An albino
A mosquito
My libido
oad up on guns, bring your friends
It's fun to lose and to pretend
She's over bored and self assured
Oh no, I know a dirty word
Hello, hello, hello, how low? [x3]
Hello, hello, hello!
With the lights out, it's less dangerous
Here we are now, entertain us
I feel stupid and contagious
Here we are now, entertain us
A mulatto
An albino
A mosquito
My libido
Yay! [x3]
I'm worse at what I do best
And for this gift I feel blessed
Our little group has always been
And always will until the end
Hello, hello, hello, how low? [x3]
Hello, hello, hello!
With the lights out, it's less dangerous
Here we are now, entertain us
I feel stupid and contagious
Here we are now, entertain us
A mulatto
An albino
A mosquito
My libido
Yay! [x3]
And I forget just why I taste
Oh yeah, I guess it makes me smile
I found it hard, it's hard to find
Oh well, whatever, never mind
Hello, hello, hello, how low? [x3]
Hello, hello, hello!
With the lights out, it's less dangerous
Here we are now, entertain us
I feel stupid and contagious
Here we are now, entertain us
A mulatto
An albino
A mosquito
My libido
Use just once and destroy
Invasion of our piracy
Afterbirth of a nation
Starve without your skeleton key
I love you for what I am not
I do not want what I have got
A blanket acne'ed with ciggarette burns
Speak at once while taking turns
What is wrong with me [x3]
I'm gonna do with what you think
If you ever think at all
Bi-polar opposites attract
All of a sudden my water broke
I love you for what I am not
I do not want what I have got
A blanket acne'ed with ciggarette burns
Second-rate third degree burns
What is wrong with me [x2]
What do I think of me ?
Hate, hate your enemies
Save, save your friends
Find, find your place
Speak, speak the truth
What is wrong with me [x3]
What do I think of me ?
Use just once and destroy
Invasion of our piracy
Afterbirth of a nation
Starve without your skeleton key
[x2]
What is wrong with me [x3]
What do I think of me ?
Use just once and destroy
Invasion of our piracy
Afterbirth of a nation
Starve without your skeleton key
I love you for what I am not
I do not want what I have got
A blanket acne'ed with ciggarette burns
Speak at once while taking turns
What is wrong with me [x3]
I'm gonna do with what you think
If you ever think at all
Bi-polar opposites attract
All of a sudden my water broke
I love you for what I am not
I do not want what I have got
A blanket acne'ed with ciggarette burns
Second-rate third degree burns
What is wrong with me [x2]
What do I think of me ?
Hate, hate your enemies
Save, save your friends
Find, find your place
Speak, speak the truth
What is wrong with me [x3]
What do I think of me ?
Use just once and destroy
Invasion of our piracy
Afterbirth of a nation
Starve without your skeleton key
[x2]
What is wrong with me [x3]
What do I think of me ?
In linear algebra, a rotation matrix is a matrix that is used to perform a rotation in Euclidean space. For example the matrix
R =
\begin{bmatrix}
\cos \theta & -\sin \theta \\
\sin \theta & \cos \theta \\
\end{bmatrix}
rotates points in the xy-Cartesian plane counter-clockwise through an angle θ about the origin of the Cartesian coordinate system. To perform the rotation using a rotation matrix R, the position of each point must be represented by a column vector v, containing the coordinates of the point. A rotated vector is obtained by using the matrix multiplication Rv.
Rotation matrices also provide a means of numerically representing an arbitrary rotation of the axes about the origin, without appealing to angular specification. These coordinate rotations are a natural way to express the orientation of a camera, or the attitude of a spacecraft, relative to a reference axes-set. Once an observational platform's local X-Y-Z axes are expressed numerically as three direction vectors in world coordinates, they together comprise the columns of rotation matrix R (world --> platform) that transforms directions (expressed in world coordinates) into equivalent directions expressed in platform-local coordinates.
The examples in this article apply to rotation of vectors anti-clockwise in a right-handed system by pre-multiplication. If any one of these is changed (e.g. rotating axes instead of vectors), then the transpose of the example matrix should be used.
Since matrix multiplication has no effect on the zero vector (the coordinates of the origin), rotation matrices can only be used to describe rotations about the origin of the coordinate system. Rotation matrices provide an algebraic description of such rotations, and are used extensively for computations in geometry, physics, and computer graphics.
Rotation matrices are square matrices, with real entries. More specifically they can be characterized as orthogonal matrices with determinant 1:
R^{T} = R^{-1}, \det R = 1\,.
In some literature, the term rotation is generalized to include improper rotations, characterized by orthogonal matrices with determinant −1 (instead of +1). These combine proper rotations with reflections (which invert orientation). In other cases, where reflections are not being considered, the label proper may be dropped. This convention is followed in this article.
The set of all orthogonal matrices of size n with determinant +1 forms a group known as the special orthogonal group SO(n). The set of all orthogonal matrices of size n with determinant +1 or -1 forms the (general) orthogonal group O(n).
In linear algebra, a rotation matrix is a matrix that is used to perform a rotation in Euclidean space. For example the matrix
R =
\begin{bmatrix}
\cos \theta & -\sin \theta \\
\sin \theta & \cos \theta \\
\end{bmatrix}
rotates points in the xy-Cartesian plane counter-clockwise through an angle θ about the origin of the Cartesian coordinate system. To perform the rotation using a rotation matrix R, the position of each point must be represented by a column vector v, containing the coordinates of the point. A rotated vector is obtained by using the matrix multiplication Rv.
Rotation matrices also provide a means of numerically representing an arbitrary rotation of the axes about the origin, without appealing to angular specification. These coordinate rotations are a natural way to express the orientation of a camera, or the attitude of a spacecraft, relative to a reference axes-set. Once an observational platform's local X-Y-Z axes are expressed numerically as three direction vectors in world coordinates, they together comprise the columns of rotation matrix R (world --> platform) that transforms directions (expressed in world coordinates) into equivalent directions expressed in platform-local coordinates.
The examples in this article apply to rotation of vectors anti-clockwise in a right-handed system by pre-multiplication. If any one of these is changed (e.g. rotating axes instead of vectors), then the transpose of the example matrix should be used.
Since matrix multiplication has no effect on the zero vector (the coordinates of the origin), rotation matrices can only be used to describe rotations about the origin of the coordinate system. Rotation matrices provide an algebraic description of such rotations, and are used extensively for computations in geometry, physics, and computer graphics.
Rotation matrices are square matrices, with real entries. More specifically they can be characterized as orthogonal matrices with determinant 1:
R^{T} = R^{-1}, \det R = 1\,.
In some literature, the term rotation is generalized to include improper rotations, characterized by orthogonal matrices with determinant −1 (instead of +1). These combine proper rotations with reflections (which invert orientation). In other cases, where reflections are not being considered, the label proper may be dropped. This convention is followed in this article.
The set of all orthogonal matrices of size n with determinant +1 forms a group known as the special orthogonal group SO(n). The set of all orthogonal matrices of size n with determinant +1 or -1 forms the (general) orthogonal group O(n).
In linear algebra, a rotation matrix is a matrix that is used to perform a rotation in Euclidean space. For example the matrix
R =
\begin{bmatrix}
\cos \theta & -\sin \theta \\
\sin \theta & \cos \theta \\
\end{bmatrix}
rotates points in the xy-Cartesian plane counter-clockwise through an angle θ about the origin of the Cartesian coordinate system. To perform the rotation using a rotation matrix R, the position of each point must be represented by a column vector v, containing the coordinates of the point. A rotated vector is obtained by using the matrix multiplication Rv.
Rotation matrices also provide a means of numerically representing an arbitrary rotation of the axes about the origin, without appealing to angular specification. These coordinate rotations are a natural way to express the orientation of a camera, or the attitude of a spacecraft, relative to a reference axes-set. Once an observational platform's local X-Y-Z axes are expressed numerically as three direction vectors in world coordinates, they together comprise the columns of rotation matrix R (world --> platform) that transforms directions (expressed in world coordinates) into equivalent directions expressed in platform-local coordinates.
The examples in this article apply to rotation of vectors anti-clockwise in a right-handed system by pre-multiplication. If any one of these is changed (e.g. rotating axes instead of vectors), then the transpose of the example matrix should be used.
Since matrix multiplication has no effect on the zero vector (the coordinates of the origin), rotation matrices can only be used to describe rotations about the origin of the coordinate system. Rotation matrices provide an algebraic description of such rotations, and are used extensively for computations in geometry, physics, and computer graphics.
Rotation matrices are square matrices, with real entries. More specifically they can be characterized as orthogonal matrices with determinant 1:
R^{T} = R^{-1}, \det R = 1\,.
In some literature, the term rotation is generalized to include improper rotations, characterized by orthogonal matrices with determinant −1 (instead of +1). These combine proper rotations with reflections (which invert orientation). In other cases, where reflections are not being considered, the label proper may be dropped. This convention is followed in this article.
The set of all orthogonal matrices of size n with determinant +1 forms a group known as the special orthogonal group SO(n). The set of all orthogonal matrices of size n with determinant +1 or -1 forms the (general) orthogonal group O(n).
Axl rose is a prickAxl rose is a prickAxl rose is a prickAxl rose is a prickAxl rose is a prickAxl rose is a prickAxl rose is a prickAxl rose is a prickAxl rose is a prickAxl rose is a prickAxl rose is a prickAxl rose is a prickAxl rose is a prickAxl rose is a prickAxl rose is a prickAxl rose is a prickAxl rose is a prickAxl rose is a prickAxl rose is a prickAxl rose is a prickAxl rose is a prickAxl rose is a prickAxl rose is a prickAxl rose is a prickAxl rose is a prickAxl rose is a prickAxl rose is a prickAxl rose is a prickAxl rose is a prickAxl rose is a prickAxl rose is a prickAxl rose is a prickAxl rose is a prickAxl rose is a prickAxl rose is a prickAxl rose is a prickAxl rose is a prickAxl rose is a prickAxl rose is a prickAxl rose is a prickAxl rose is a prickAxl rose is a prickAxl rose is a prickAxl rose is a prickAxl rose is a prickAxl rose is a prickAxl rose is a prickAxl rose is a prickAxl rose is a prickAxl rose is a prickAxl rose is a prickAxl rose is a prickAxl rose is a prickAxl rose is a prickAxl rose is a prickAxl rose is a prickAxl rose is a prickAxl rose is a prickAxl rose is a prickAxl rose is a prickAxl rose is a prickAxl rose is a prickAxl rose is a prickAxl rose is a prickAxl rose is a prickAxl rose is a prickAxl rose is a prickAxl rose is a prickAxl rose is a prickAxl rose is a prickAxl rose is a prickAxl rose is a prickAxl rose is a prickAxl rose is a prickAxl rose is a prickAxl rose is a prickAxl rose is a prickAxl rose is a prickAxl rose is a prickAxl rose is a prickAxl rose is a prickAxl rose is a prickAxl rose is a prickAxl rose is a prickAxl rose is a prickAxl rose is a prickAxl rose is a prickAxl rose is a prickAxl rose is a prickAxl rose is a prickAxl rose is a prickAxl rose is a prickAxl rose is a prickAxl rose is a prickAxl rose is a prickAxl rose is a prickAxl rose is a prickAxl rose is a prickAxl rose is a prickAxl rose is a prickAxl rose is a prick
In Euclidean geometry, a rotation is an example of an isometry, a transformation that moves points without changing the distances between them. Rotations are distinguished from other isometries by two additional properties: they leave (at least) one point fixed, and they leave "handedness" unchanged. By contrast, a translation moves every point, a reflection exchanges left- and right-handed ordering, and a glide reflection does both.
A rotation that does not leave "handedness" unchanged is an improper rotation or a rotoinversion.
If we take the fixed point as the origin of a Cartesian coordinate system, then every point can be given coordinates as a displacement from the origin. Thus we may work with the vector space of displacements instead of the points themselves. Now suppose (p1,…,pn) are the coordinates of the vector p from the origin, O, to point P. Choose an orthonormal basis for our coordinates; then the squared distance to P, by Pythagoras, is
She should have stayed away from friends
She should have had more time to spend
She should have died when she was born
She should have worn the crown of thorns
She should have - been a son
She should have - been a son
She should have - been a son
She should have - been a son
She should have stood out in the crowd
She should have made her mother proud
She should have fallen on her stance
She should have had another chance
[x2]
She should have - been a son
She should have - been a son
She should have - been a son
She should have - been a son
She should have stayed away from friends
She should have had more time to spend
She should have died when she was born
She should have worn the crown of thorns
She should have - been a son
She should have - been a son
She should have - been a son
She should have - been a son
She should have stayed away from friends
She should have had more time to spend
She should have died when she was born
She should have worn the crown of thorns
She should have - been a son
She should have - been a son
She should have - been a son
She should have - been a son
She should have stood out in the crowd
She should have made her mother proud
She should have fallen on her stance
She should have had another chance
[x2]
She should have - been a son
She should have - been a son
She should have - been a son
She should have - been a son
She should have stayed away from friends
She should have had more time to spend
She should have died when she was born
She should have worn the crown of thorns
She should have - been a son
She should have - been a son
She should have - been a son
She should have - been a son
Bell on door clanks - come on in
Floyd observes my hairy chin
Sit down (in the) chair, don't be afraid
Steamed hot towel on my face
I'm ashamed [x3]
Barney ties me to the chair
I can't see, I'm really scared
Floyd breathes hard, I hear a zip
Pee-Pee pressed against my lips
I was shamed [x3]
I sense others in the room
Opie Aunt Bee, I presume
They take turns and cut me up
I die smothered in Andy's clutch
I was shamed [x3]
..........
..........
...nevermind.
I'm lucky to have met you
I don't care what you think
Unless it is about me
It is now my duty to completely drain you
A travel through a tube
And end up in your infection
Chew your meat for you
Pass it back and forth
In a passionate kiss
From my mouth to yours
I like you
With eyes so dialated,
I've become your pupil
You've taught me everything
Without a poison apple
The water is so yellow, I'm a healthy student
Indebted and so grateful -
Vacuum out the fluids
Chew your meat for you
Pass it back and forth
In a passionate kiss
From my mouth to yours
I like you
One baby to another says -
I'm lucky to have met you
I don't care what you think
Unless it is about me
It is now my duty to completely drain you
A travel through a tube
And end up in your infection
Chew your meat for you
Pass it back and forth
In a passionate kiss
From my mouth to yours
I like you
With eyes so dialated,
I've become your pupil
You've taught me everything
Without a poison apple
The water is so yellow, I'm a healthy student
Indebted and so grateful -
Vacuum out the fluids
Chew your meat for you
Pass it back and forth
In a passionate kiss
From my mouth to yours
I like you
One baby to another says -
I'm lucky to have met you
I don't care what you think
Unless it is about me
It is now my duty to completely drain you
A travel through a tube
And end up in your infection
Chew your meat for you
Pass it back and forth
In a passionate kiss
From my mouth to yours
I like you
With eyes so dialated,
I've become your pupil
You've taught me everything
Without a poison apple
The water is so yellow, I'm a healthy student
Indebted and so grateful -
Vacuum out the fluids
Chew your meat for you
Pass it back and forth
In a passionate kiss
From my mouth to yours
I like you
One baby to another says -
I'm lucky to have met you
I don't care what you think
Unless it is about me
It is now my duty to completely drain you
A travel through a tube
And end up in your infection
Chew your meat for you
Pass it back and forth
In a passionate kiss
From my mouth to yours
I like you
With eyes so dialated,
I've become your pupil
You've taught me everything
Without a poison apple
The water is so yellow, I'm a healthy student
Indebted and so grateful -
Vacuum out the fluids
Chew your meat for you
Pass it back and forth
In a passionate kiss
From my mouth to yours
I like you
Teenage angst has paid off well
Now I'm bored and old
Self-appointed judges judge
More than they have sold
If she floats than she is not
A witch like we had thought
A down payment on another
One at salem's lot
Serve the servants - Oh no [x4]
That legendary divorce is such a bore
As my bones grew they did hurt
They hurt really bad
I tried hard to have a father
But instead I had a dad
I just want you to know that I
Don't hate you anymore
There is nothing I could say
That I haven't thought before
Serve the servants - Oh no [x4]
That legendary divorce is such a bore
Serve the servants - Oh no [x7]
That legendary divorce is such a bore
Teenage angst has paid off well
Now I'm bored and old
Self-appointed judges judge
More than they have sold
If she floats than she is not
A witch like we had thought
A down payment on another
One at salem's lot
Serve the servants - Oh no [x4]
That legendary divorce is such a bore
As my bones grew they did hurt
They hurt really bad
I tried hard to have a father
But instead I had a dad
I just want you to know that I
Don't hate you anymore
There is nothing I could say
That I haven't thought before
Serve the servants - Oh no [x4]
That legendary divorce is such a bore
Serve the servants - Oh no [x7]
That legendary divorce is such a bore
Teenage angst has paid off well
Now I'm bored and old
Self-appointed judges judge
More than they have sold
If she floats than she is not
A witch like we had thought
A down payment on another
One at salem's lot
Serve the servants - Oh no [x4]
That legendary divorce is such a bore
As my bones grew they did hurt
They hurt really bad
I tried hard to have a father
But instead I had a dad
I just want you to know that I
Don't hate you anymore
There is nothing I could say
That I haven't thought before
Serve the servants - Oh no [x4]
That legendary divorce is such a bore
Serve the servants - Oh no [x7]
That legendary divorce is such a bore
Truth - covered in security
I can't let you smother me
I'd like to, but it couldn't work
Trading off and taking turns
I don't regret a thing
And I've got this friend, you see
Who makes me feel and I
Wanted more than I could steal
I'll arrest myself, I'll wear a shield
I'll go out of my way to prove I still
I still smell her on you
Don't - tell me what I wanna hear
Afraid of never knowing fear
Experience anything you need
I'll keep fighting jealousy
Until it's fucking gone
And I've got this friend, you see
Who makes me feel and I
Wanted more than I could steal
I'll arrest myself, I'll wear a shield
I'll go out of my way to prove I still
I still smell her on you
Truth! - covered in security
I can't let you smother me
I'd like to but it couldn't work
Trading off and taking turns
I don't regret a thing
And I've got this friend, you see
Who makes me feel and I
Wanted more than I could steal
I'll arrest myself, I'll wear a shield
I'll go out of my way to make you a deal
We've made a pact to learn from who
Ever we want without new rules
We'll share what's lost and what we grew
They'll go out of their way
To prove they still
Still smell her on you [x3]
oad up on guns, bring your friends
It's fun to lose and to pretend
She's over bored and self assured
Oh no, I know a dirty word
Hello, hello, hello, how low? [x3]
Hello, hello, hello!
With the lights out, it's less dangerous
Here we are now, entertain us
I feel stupid and contagious
Here we are now, entertain us
A mulatto
An albino
A mosquito
My libido
Yay! [x3]
I'm worse at what I do best
And for this gift I feel blessed
Our little group has always been
And always will until the end
Hello, hello, hello, how low? [x3]
Hello, hello, hello!
With the lights out, it's less dangerous
Here we are now, entertain us
I feel stupid and contagious
Here we are now, entertain us
A mulatto
An albino
A mosquito
My libido
Yay! [x3]
And I forget just why I taste
Oh yeah, I guess it makes me smile
I found it hard, it's hard to find
Oh well, whatever, never mind
Hello, hello, hello, how low? [x3]
Hello, hello, hello!
With the lights out, it's less dangerous
Here we are now, entertain us
I feel stupid and contagious
Here we are now, entertain us
A mulatto
An albino
A mosquito
My libido
oad up on guns, bring your friends
It's fun to lose and to pretend
She's over bored and self assured
Oh no, I know a dirty word
Hello, hello, hello, how low? [x3]
Hello, hello, hello!
With the lights out, it's less dangerous
Here we are now, entertain us
I feel stupid and contagious
Here we are now, entertain us
A mulatto
An albino
A mosquito
My libido
Yay! [x3]
I'm worse at what I do best
And for this gift I feel blessed
Our little group has always been
And always will until the end
Hello, hello, hello, how low? [x3]
Hello, hello, hello!
With the lights out, it's less dangerous
Here we are now, entertain us
I feel stupid and contagious
Here we are now, entertain us
A mulatto
An albino
A mosquito
My libido
Yay! [x3]
And I forget just why I taste
Oh yeah, I guess it makes me smile
I found it hard, it's hard to find
Oh well, whatever, never mind
Hello, hello, hello, how low? [x3]
Hello, hello, hello!
With the lights out, it's less dangerous
Here we are now, entertain us
I feel stupid and contagious
Here we are now, entertain us
A mulatto
An albino
A mosquito
My libido
oad up on guns, bring your friends
It's fun to lose and to pretend
She's over bored and self assured
Oh no, I know a dirty word
Hello, hello, hello, how low? [x3]
Hello, hello, hello!
With the lights out, it's less dangerous
Here we are now, entertain us
I feel stupid and contagious
Here we are now, entertain us
A mulatto
An albino
A mosquito
My libido
Yay! [x3]
I'm worse at what I do best
And for this gift I feel blessed
Our little group has always been
And always will until the end
Hello, hello, hello, how low? [x3]
Hello, hello, hello!
With the lights out, it's less dangerous
Here we are now, entertain us
I feel stupid and contagious
Here we are now, entertain us
A mulatto
An albino
A mosquito
My libido
Yay! [x3]
And I forget just why I taste
Oh yeah, I guess it makes me smile
I found it hard, it's hard to find
Oh well, whatever, never mind
Hello, hello, hello, how low? [x3]
Hello, hello, hello!
With the lights out, it's less dangerous
Here we are now, entertain us
I feel stupid and contagious
Here we are now, entertain us
A mulatto
An albino
A mosquito
My libido
Use just once and destroy
Invasion of our piracy
Afterbirth of a nation
Starve without your skeleton key
I love you for what I am not
I do not want what I have got
A blanket acne'ed with ciggarette burns
Speak at once while taking turns
What is wrong with me [x3]
I'm gonna do with what you think
If you ever think at all
Bi-polar opposites attract
All of a sudden my water broke
I love you for what I am not
I do not want what I have got
A blanket acne'ed with ciggarette burns
Second-rate third degree burns
What is wrong with me [x2]
What do I think of me ?
Hate, hate your enemies
Save, save your friends
Find, find your place
Speak, speak the truth
What is wrong with me [x3]
What do I think of me ?
Use just once and destroy
Invasion of our piracy
Afterbirth of a nation
Starve without your skeleton key
[x2]
What is wrong with me [x3]
What do I think of me ?
Use just once and destroy
Invasion of our piracy
Afterbirth of a nation
Starve without your skeleton key
I love you for what I am not
I do not want what I have got
A blanket acne'ed with ciggarette burns
Speak at once while taking turns
What is wrong with me [x3]
I'm gonna do with what you think
If you ever think at all
Bi-polar opposites attract
All of a sudden my water broke
I love you for what I am not
I do not want what I have got
A blanket acne'ed with ciggarette burns
Second-rate third degree burns
What is wrong with me [x2]
What do I think of me ?
Hate, hate your enemies
Save, save your friends
Find, find your place
Speak, speak the truth
What is wrong with me [x3]
What do I think of me ?
Use just once and destroy
Invasion of our piracy
Afterbirth of a nation
Starve without your skeleton key
[x2]
What is wrong with me [x3]
What do I think of me ?
In linear algebra, a rotation matrix is a matrix that is used to perform a rotation in Euclidean space. For example the matrix
R =
\begin{bmatrix}
\cos \theta & -\sin \theta \\
\sin \theta & \cos \theta \\
\end{bmatrix}
rotates points in the xy-Cartesian plane counter-clockwise through an angle θ about the origin of the Cartesian coordinate system. To perform the rotation using a rotation matrix R, the position of each point must be represented by a column vector v, containing the coordinates of the point. A rotated vector is obtained by using the matrix multiplication Rv.
Rotation matrices also provide a means of numerically representing an arbitrary rotation of the axes about the origin, without appealing to angular specification. These coordinate rotations are a natural way to express the orientation of a camera, or the attitude of a spacecraft, relative to a reference axes-set. Once an observational platform's local X-Y-Z axes are expressed numerically as three direction vectors in world coordinates, they together comprise the columns of rotation matrix R (world --> platform) that transforms directions (expressed in world coordinates) into equivalent directions expressed in platform-local coordinates.
The examples in this article apply to rotation of vectors anti-clockwise in a right-handed system by pre-multiplication. If any one of these is changed (e.g. rotating axes instead of vectors), then the transpose of the example matrix should be used.
Since matrix multiplication has no effect on the zero vector (the coordinates of the origin), rotation matrices can only be used to describe rotations about the origin of the coordinate system. Rotation matrices provide an algebraic description of such rotations, and are used extensively for computations in geometry, physics, and computer graphics.
Rotation matrices are square matrices, with real entries. More specifically they can be characterized as orthogonal matrices with determinant 1:
R^{T} = R^{-1}, \det R = 1\,.
In some literature, the term rotation is generalized to include improper rotations, characterized by orthogonal matrices with determinant −1 (instead of +1). These combine proper rotations with reflections (which invert orientation). In other cases, where reflections are not being considered, the label proper may be dropped. This convention is followed in this article.
The set of all orthogonal matrices of size n with determinant +1 forms a group known as the special orthogonal group SO(n). The set of all orthogonal matrices of size n with determinant +1 or -1 forms the (general) orthogonal group O(n).
In linear algebra, a rotation matrix is a matrix that is used to perform a rotation in Euclidean space. For example the matrix
R =
\begin{bmatrix}
\cos \theta & -\sin \theta \\
\sin \theta & \cos \theta \\
\end{bmatrix}
rotates points in the xy-Cartesian plane counter-clockwise through an angle θ about the origin of the Cartesian coordinate system. To perform the rotation using a rotation matrix R, the position of each point must be represented by a column vector v, containing the coordinates of the point. A rotated vector is obtained by using the matrix multiplication Rv.
Rotation matrices also provide a means of numerically representing an arbitrary rotation of the axes about the origin, without appealing to angular specification. These coordinate rotations are a natural way to express the orientation of a camera, or the attitude of a spacecraft, relative to a reference axes-set. Once an observational platform's local X-Y-Z axes are expressed numerically as three direction vectors in world coordinates, they together comprise the columns of rotation matrix R (world --> platform) that transforms directions (expressed in world coordinates) into equivalent directions expressed in platform-local coordinates.
The examples in this article apply to rotation of vectors anti-clockwise in a right-handed system by pre-multiplication. If any one of these is changed (e.g. rotating axes instead of vectors), then the transpose of the example matrix should be used.
Since matrix multiplication has no effect on the zero vector (the coordinates of the origin), rotation matrices can only be used to describe rotations about the origin of the coordinate system. Rotation matrices provide an algebraic description of such rotations, and are used extensively for computations in geometry, physics, and computer graphics.
Rotation matrices are square matrices, with real entries. More specifically they can be characterized as orthogonal matrices with determinant 1:
R^{T} = R^{-1}, \det R = 1\,.
In some literature, the term rotation is generalized to include improper rotations, characterized by orthogonal matrices with determinant −1 (instead of +1). These combine proper rotations with reflections (which invert orientation). In other cases, where reflections are not being considered, the label proper may be dropped. This convention is followed in this article.
The set of all orthogonal matrices of size n with determinant +1 forms a group known as the special orthogonal group SO(n). The set of all orthogonal matrices of size n with determinant +1 or -1 forms the (general) orthogonal group O(n).
In linear algebra, a rotation matrix is a matrix that is used to perform a rotation in Euclidean space. For example the matrix
R =
\begin{bmatrix}
\cos \theta & -\sin \theta \\
\sin \theta & \cos \theta \\
\end{bmatrix}
rotates points in the xy-Cartesian plane counter-clockwise through an angle θ about the origin of the Cartesian coordinate system. To perform the rotation using a rotation matrix R, the position of each point must be represented by a column vector v, containing the coordinates of the point. A rotated vector is obtained by using the matrix multiplication Rv.
Rotation matrices also provide a means of numerically representing an arbitrary rotation of the axes about the origin, without appealing to angular specification. These coordinate rotations are a natural way to express the orientation of a camera, or the attitude of a spacecraft, relative to a reference axes-set. Once an observational platform's local X-Y-Z axes are expressed numerically as three direction vectors in world coordinates, they together comprise the columns of rotation matrix R (world --> platform) that transforms directions (expressed in world coordinates) into equivalent directions expressed in platform-local coordinates.
The examples in this article apply to rotation of vectors anti-clockwise in a right-handed system by pre-multiplication. If any one of these is changed (e.g. rotating axes instead of vectors), then the transpose of the example matrix should be used.
Since matrix multiplication has no effect on the zero vector (the coordinates of the origin), rotation matrices can only be used to describe rotations about the origin of the coordinate system. Rotation matrices provide an algebraic description of such rotations, and are used extensively for computations in geometry, physics, and computer graphics.
Rotation matrices are square matrices, with real entries. More specifically they can be characterized as orthogonal matrices with determinant 1:
R^{T} = R^{-1}, \det R = 1\,.
In some literature, the term rotation is generalized to include improper rotations, characterized by orthogonal matrices with determinant −1 (instead of +1). These combine proper rotations with reflections (which invert orientation). In other cases, where reflections are not being considered, the label proper may be dropped. This convention is followed in this article.
The set of all orthogonal matrices of size n with determinant +1 forms a group known as the special orthogonal group SO(n). The set of all orthogonal matrices of size n with determinant +1 or -1 forms the (general) orthogonal group O(n).
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In Euclidean geometry, a rotation is an example of an isometry, a transformation that moves points without changing the distances between them. Rotations are distinguished from other isometries by two additional properties: they leave (at least) one point fixed, and they leave "handedness" unchanged. By contrast, a translation moves every point, a reflection exchanges left- and right-handed ordering, and a glide reflection does both.
A rotation that does not leave "handedness" unchanged is an improper rotation or a rotoinversion.
If we take the fixed point as the origin of a Cartesian coordinate system, then every point can be given coordinates as a displacement from the origin. Thus we may work with the vector space of displacements instead of the points themselves. Now suppose (p1,…,pn) are the coordinates of the vector p from the origin, O, to point P. Choose an orthonormal basis for our coordinates; then the squared distance to P, by Pythagoras, is
She should have stayed away from friends
She should have had more time to spend
She should have died when she was born
She should have worn the crown of thorns
She should have - been a son
She should have - been a son
She should have - been a son
She should have - been a son
She should have stood out in the crowd
She should have made her mother proud
She should have fallen on her stance
She should have had another chance
[x2]
She should have - been a son
She should have - been a son
She should have - been a son
She should have - been a son
She should have stayed away from friends
She should have had more time to spend
She should have died when she was born
She should have worn the crown of thorns
She should have - been a son
She should have - been a son
She should have - been a son
She should have - been a son
She should have stayed away from friends
She should have had more time to spend
She should have died when she was born
She should have worn the crown of thorns
She should have - been a son
She should have - been a son
She should have - been a son
She should have - been a son
She should have stood out in the crowd
She should have made her mother proud
She should have fallen on her stance
She should have had another chance
[x2]
She should have - been a son
She should have - been a son
She should have - been a son
She should have - been a son
She should have stayed away from friends
She should have had more time to spend
She should have died when she was born
She should have worn the crown of thorns
She should have - been a son
She should have - been a son
She should have - been a son
She should have - been a son
Bell on door clanks - come on in
Floyd observes my hairy chin
Sit down (in the) chair, don't be afraid
Steamed hot towel on my face
I'm ashamed [x3]
Barney ties me to the chair
I can't see, I'm really scared
Floyd breathes hard, I hear a zip
Pee-Pee pressed against my lips
I was shamed [x3]
I sense others in the room
Opie Aunt Bee, I presume
They take turns and cut me up
I die smothered in Andy's clutch
I was shamed [x3]
..........
..........
...nevermind.