**orthogonal**- The axis (where present) and the plane of a rotation are orthogonal . (wikipedia.org)
- Suggested by Henry Felix Kaiser in 1958, it is a popular scheme for orthogonal rotation (where all factors remain uncorrelated with one another). (wikipedia.org)
- Factor analysis Empirical orthogonal functions Q methodology Rotation matrix Henry F. Kaiser (September 1958). (wikipedia.org)

**rotate**- 2. Rotate so that the rotation axis is aligned with one of the principle coordinate axes. (siggraph.org)
- In SAS varimax rotation is available in PROC FACTOR using ROTATE = VARIMAX. (wikipedia.org)

**Curation**- Rotation Curation , also #RotationCuration , is the concept of rotating the spokesperson on a broad scoped social media account. (wikipedia.org)
- There are now also several science-themed rotation curation accounts used for science outreach to a broader community, including @RealScientists , @Biotweeps , and @Astrotweeps . (wikipedia.org)
- So the first one who migrated the principle of Rotation Curation to Twitter was Maxim Loick, a.k.a @Pausanias. (wikipedia.org)
- Find more about what #RotationCuration means on [Wikipedia](http://en.wikipedia.org/wiki/Rotation_Curation). (reddit.com)

**axis of rotat**- The axis of rotation is a line of its fixed points. (wikipedia.org)
- 3D Rotation is more complicated than 2D rotation since we must specify an axis of rotation. (siggraph.org)
- In 2D the axis of rotation is always perpendicular to the xy plane, i.e., the Z axis, but in 3D the axis of rotation can have any spatial orientation. (siggraph.org)

**vector**- Rotations of (affine) spaces of points and of respective vector spaces are not always clearly distinguished. (wikipedia.org)
- The former are sometimes referred to as affine rotations (although the term is misleading), whereas the latter are vector rotations . (wikipedia.org)

**inverse**- 4. Perform inverse rotation of 2. (siggraph.org)

**refers**- The " improper rotation " term refers to isometries that reverse (flip) the orientation. (wikipedia.org)
- The first number in a rotation ratio refers to cultivated row crops, the second to close-growing grains, and the third to sod-forming, or rest, crops. (britannica.com)
- Left rotation refers to the following In an array, moving all items to the next lower location. (wikipedia.org)

**invariant**- The plane of rotation is a plane that is invariant under the rotation. (wikipedia.org)
- Preserving orthogonality requires that it is a rotation that leaves the sub-space invariant. (wikipedia.org)

**transformations**- These two types of rotation are called active and passive transformations . (wikipedia.org)

**Coordinate**- Special case: The rotation axis is parallel to a principle coordinate axis. (siggraph.org)
- 3. Perform rotation of object about coordinate axis. (siggraph.org)

**angle**- For rotation about X axis we need to find cos A, sin A where A = angle between projection of U (in YZ plane) and Z axis. (siggraph.org)

**mathematics**- Rotation in mathematics is a concept originating in geometry . (wikipedia.org)
- In mathematics, a rotation map is a function that represents an undirected edge-labeled graph, where each vertex enumerates its outgoing neighbors. (wikipedia.org)

**translation**- A plane rotation around a point followed by another rotation around a different point results in a total motion which is either a rotation (as in this picture), or a translation . (wikipedia.org)
- Any direct Euclidean motion can be represented as a composition of a rotation about the fixed point and a translation. (wikipedia.org)
- Now we can perform the first translation (of the rotation axis to pass through the origin) by using the matrix T (-x1, -y1, -z 1), i.e., move the point P1 to the origin. (siggraph.org)

**principle**- We will first look at rotation around the three principle axes (X, Y, Z) and then about an arbitrary axis. (siggraph.org)

**general**- Rotations about different points, in general, do not commute. (wikipedia.org)
- Also, unlike the two-dimensional case, a three-dimensional direct motion, in general position , is not a rotation but a screw operation . (wikipedia.org)
- It was a low-risk, high reward move intended to replace Rodrigo Lopez in the rotation, and insure against the possibility that general manager Ruben Amaro Jr. would not be able to add a pitcher before yesterday's trade deadline. (philly.com)
- In the general case, rotation about an arbitrary axis is more complicated. (siggraph.org)
- In general, most rotations are confined to time limits of eight years or less. (britannica.com)
- While there is good evidence for the efficacy of opioid rotation as a treatment approach in general, there is less evidence for what particular opioid analgesics are most suitable, and in practice the choice of opioid drugs used depends on many factors such as patient characteristics, prescriber preferences and safety. (wikipedia.org)

**implementation**- There are no clinical guidelines outlining the use and implementation of opioid rotation. (wikipedia.org)

**time**- Opioid rotation requires strict monitoring in patients with ongoing levels of high opioid doses for extended periods of time, since long term opioid use can lead to a patient developing tolerance to the analgesic effects of the drug. (wikipedia.org)
- A single left rotation is done in O(1) time but is often integrated within the node insertion and deletion of binary search trees. (wikipedia.org)

**broader**- The rotation group is a point stabilizer in a broader group of (orientation-preserving) motions . (wikipedia.org)

**order**- Rotations in three dimensions are generally not commutative , so the order in which rotations are applied is important even about the same point. (wikipedia.org)
- Crop rotation , the successive cultivation of different crops in a specified order on the same fields, in contrast to a one-crop system or to haphazard crop successions. (britannica.com)
- Rotation maps were first introduced by Reingold, Vadhan and Wigderson ("Entropy waves, the zig-zag graph product, and new constant-degree expanders", 2002) in order to conveniently define the zig-zag product and prove its properties. (wikipedia.org)

**orientation**- But a (proper) rotation also has to preserve the orientation structure . (wikipedia.org)

**different**- The choice of what opioid drug to use in which patient thus tends to be a balance between many different factors that must be considered, and the need for opioid rotation in chronic pain patients makes it advantageous for a wide range of different opioid drugs to be available, even though they may be broadly equivalent in action when used in shorter term treatment. (wikipedia.org)

**group**- All rotations about a fixed point form a group under composition called the rotation group (of a particular space). (wikipedia.org)
- The rotation group is a Lie group of rotations about a fixed point . (wikipedia.org)
- Spotting a sector rotation, when money moves from one sector or group of sectors into another because of the business cycle, is of the utmost importance. (cnbc.com)
- A simple rotation would be one crop from each group with a 1:1:1 ratio. (britannica.com)

**various**- In the major food-producing regions of the world, various rotations of much shorter length are widely used. (britannica.com)

**represents**- Lee, the 2008 American League Cy Young Award winner, represents an enormous upgrade the top of a rotation that spent much of the first half of this season pitching inconsistently. (philly.com)

**article**- A summary of the use of varimax rotation and of other types of factor rotation is presented in this article on factor analysis. (wikipedia.org)
- https://support.sas.com/documentation/cdl/en/statug/63347/HTML/default/viewer.htm#statug_factor_sect029.htm Factor rotations in Factor Analyses by Herve Abdi About Varimax Properties of Principal Components http://www2.imm.dtu.dk/pubdb/views/edoc_download.php/4041/pdf/imm4041.pdf This article incorporates public domain material from the National Institute of Standards and Technology website http://www.nist.gov. (wikipedia.org)

**particular**- A representation of rotations is a particular formalism, either algebraic or geometric, used to parametrize a rotation map. (wikipedia.org)
- In statistics, a varimax rotation is used to simplify the expression of a particular sub-space in terms of just a few major items each. (wikipedia.org)

**likely**- Having improved the staff, the team must now decide which two of Pedro Martinez, J.A. Happ or Jamie Moyer belongs in the rotation, which of the three would be most likely to help in the bullpen, and whether to retain Rodrigo Lopez for a relief role. (philly.com)
- The overworked and unhealthy bullpen would suffer if bother Moyer and Martinez, neither of whom is likely to regularly pitch deep into games, were both in the rotation. (philly.com)
- Short rotations are not likely to provide the best crop balances, and long rotations on a larger number of fields may introduce complications. (britannica.com)

**Patient**- Additionally, newer studies may explore which patient populations can benefit the most from opioid rotation and which populations can have their pain managed by other means. (wikipedia.org)

**regular**- Early agricultural experiments showed the value of crop rotations that included a legume sod crop in the regular sequence. (britannica.com)
- It is desirable to include legumes alone or in mixtures with nonlegume sod-forming crops as a regular crop in many field rotations. (britannica.com)

**turn**- A clockwise rotation is a negative magnitude so a counterclockwise turn has a positive magnitude. (wikipedia.org)
- Composition of rotations sums their angles modulo 1 turn , which implies that all two-dimensional rotations about the same point commute . (wikipedia.org)
- In a clear sign the Phillies are at least mildly concerned about Roy Halladay's workload, they have bumped their ace back a day during the next turn through the rotation. (philly.com)
- Kyle Kendrick, who was originally scheduled to start Monday, will now take his normal turn in the rotation on Saturday. (philly.com)

**usually**- This (common) fixed point is called the center of rotation and is usually identified with the origin . (wikipedia.org)

**Album**- Rotation is the second studio album by pop punk band Cute Is What We Aim For, released on June 24, 2008. (wikipedia.org)

**simple**- If these conditions hold, the factor loading matrix is said to have "simple structure," and varimax rotation brings the loading matrix closer to such simple structure (as much as the data allow). (wikipedia.org)

**system**- Zig-zag product Rotation system Reingold, O. (wikipedia.org)

**another**- Opioid rotation or opioid switching is the process of changing one opioid to another to improve pain control or reduce unwanted side effects. (wikipedia.org)

**make**- Its not a huge dps loss/gain either way, if you cant manage the timer, just eviserate and make your rotation easier. (mmo-champion.com)

**means**- This means, if the rotation stays on schedule, Kendrick, Cole Hamels and Halladay would start the final three games of the season in Atlanta. (philly.com)

**Search**- In a binary search tree, a left rotation is the movement of a node, X, down to the left. (wikipedia.org)
- AVL trees and red-black trees are two examples of binary search trees that use the left rotation. (wikipedia.org)

**origin**- 1. Translate so that rotation axis passes through origin. (siggraph.org)

**appears**- Throughout human history, wherever food crops have been produced, some kind of rotation cropping appears to have been practiced. (britannica.com)

**find**- And J.A. Happ, better than anyone expected since being promoted to the rotation in May, might find himself in the bullpen again. (philly.com)