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anti-clockwise

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anti-clockwise
anti-clockwise, a. and adv. (ˌæntɪˈklɒkwaɪz) [f. anti-1 3 c + clock n. + -wise.] = counter-clockwise.1898 G. Wherry in Lancet 1 Jan. 24/1 Mathematicians often use the expression ‘clockwise’ or ‘anti-clock-wise’ to indicate the way of a spiral coil. 1914 C. W. Domville-Fife Submarines, Mines & Torped... Oxford English Dictionary
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All planets in our solar system rotate on their axis either in a clockwise or anti-clockwise direction. Tell me which planets have clockwise rotation, and which have anti-clockwise rotations. The planets are: Mercury,...
Venus has an anti-clockwise rotation. In summary, all planets except for Venus have a clockwise rotation.
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Calculating clockwise/anti-clockwise angles from a point I'm currently trying to work out if an angle is a clockwise or anti-clockwise rotation about a point. I used the equation: a.b = ||a|| ||b|| cos(A) to calculate...
In three dimensions, this requires a choice of orientation of the plane $P$ spanned by ${\bf a}, {\bf b}$. We can specify such an orientation by choosing a vector $\bf n$ transverse to $P$; then, the basis (${\bf a}, {\bf b}$) is positively oriented with respect to the orientation---equivalently, th...
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how to arrange 4 cartesian points in clockwise or anti-clockwise order I am implementing a program in C which requires that given 4 points should be arranged such that they form a quadrilateral.(assume no three are co...
There are many ways to order the points, especially if they form on concave polygon. For this case, the problem is easy. Say you have points $a,b,c,d$ in this order. Check the intersection between the two diagonals, $ac$ and $bd$, as segments, not infinite lines. That means that the intersection is ...
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Contour integrals Evaluate $\int_C\dfrac{\mathrm{d}z}{z^2-1}$ where a) $C$ is the clockwise oriented circle $\left|z \right| = 2$; b) $C$ is the anti-clockwise oriented square with sides on $x= \pm2$ and $y= \pm2$; ...
Note that $$\frac{1}{z^2-1}=\frac{1}{(z-1)(z+1)}$$ Hence, the function $f(z)=\frac{1}{z^2-1}$ has simple poles at $z=\pm 1$. We get $$\mathrm{res}_{z=1}f=\frac{1}{2},\quad\mathrm{res}_{z=-1}f=-\frac{1}{2}$$ For (a) the given contour encloses both poles so you have $$\int_{\gamma_a} \frac{1}{z^2-1}dz...
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Find remaining vertices of a square, given 2 I need a hint for this problem. Let the vertices of a square ABCD represent on the Argand diagram the complex numbers a,b,c, and d respectively. A,B,C,D are taken anti-clo...
You can make a translation so that one of the vertices goes to the origin, then make the inverse translation.
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What direction are the threads on Ultra Torque bearing cups? I need to remove the bottom bracket bearing cups from my 2010 Athena groupset. Do they both unscrew anti-clockwise, or is one side different (and which one)?
For English-threaded Ultra Torque, the right (chain) side cup unscrews clockwise, the left one anti-clockwise. For Italian, both unscrew anti-clockwise. It's most likely that you have English. I don't know how you could tell for certain though without asking your bike maker, measuring the size, or s...
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What does this barrel adjuster do on the rear derailleur (SRAM Apex 1)? On this SRAM Apex 1 derailleur, what does this barrel adjuster do? What happens if I turn it clockwise/anti-clockwise? ![enter image descriptio...
It lengthens or shortens the housing length to adjust the lateral position of the derailleur cage. It's used to adjust derailleur 'indexing' so that the chain sits properly on the cassette sprockets. Mountain bike shifter units have barrel adjusters, road bikes use this one as well as having frame m...
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How to use Cauchy integral to evaluate the integral $\int_C \frac{\cos\ z}{z(z^2+8)}dz$. The integral in question is: > $$\large{\int_C \frac{\cos\ z}{z(z^2+8)}dz}$$ Where $C$ is the square whose vertices are $x=\pm2...
**HINT:** $$\frac{1}{z(z^2+8)}=\frac{1/8}{z}-\frac{z/8}{z^2+8}=\frac{1/8}{z}-\frac{1/16}{z+i2\sqrt 2}-\frac{1/16}{z-i2\sqrt 2}$$ Note that the only pole enclosed by the square contour is the one at $z=0$.
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Checking if these two are graph isomorphisms I know a few graph invariants and it seemed that these two graphs do not have the same amount of circuit length $3$. (our definition of a circuit is a closed path, a path...
Actually these graphs are isomorphic. If you take f(a)=z f(b)=u f(e)=t f(d)=x f(c)=y f is an isomorphism because if ab is an edge in G1, f(a)f(b) is an edge in G2
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Is tan theta positive or negative in this case? ![enter image description here]( Is the value of tangent of an anti-clockwise angle as seen in the image positive or negative if it is in 4th quadrant? I know that tang...
Draw a perpendicular from the pointed end of the arrow to the positive direction of $x$ axis.Now,by definition of $\tan\theta=\frac{opposite\space side}{adjacent\space side}$ we find that $opposite\space side$ is negative as it is in the negative direction of $y-axis$.hence $\tan\theta$ is negative....
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Angle between two 3D vectors measured in a specific direction Two normalized 3D vectors, $\vec a$ and $\vec b$, lie in the plane with the normal $\vec n$. By how much should $\vec a$ be rotated anti-clockwise around $...
If $\vec a$, $\vec b$, $\vec n$ are oriented like standard basis vectors $i,j,k$, then the shortest angle is counterclockwise. Otherwise, it is clockwise. This suggests the following algorithm: 1. Compute the triple product of $\vec a$, $\vec b$, $\vec n$, in this order. 2. If the triple product is ...
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What is the significance in an alpha-helix being right-handed or left-handed? Why is that often when alpha-helices are discussed, it is also mentioned their direction - right-handed (clockwise) or left-handed (anti-cl...
Some experimental and modelling observations suggests, folding energy for right handed in more favorable. You can find more detailed answer to this question here.
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Number of circular permutations of $n$ different things taken $r$ at a time. My book writes like this: > **Number of permutations of $n$ different things taken $r$ at a time** : **Case I : If clockwise & anti-clockwi...
nPr is the count of the number of arrangements of n unique beads taken r together. Once you arrange them, tie them into a necklace of r beads. Now think of cutting the necklace. You can _choose_ to cut at r points. Each cut will result in a permutation of the beads. All these r permutations would re...
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Finding direction of rotation I'm given matrix $A$ that represents a rotation. I can find the axis of rotation by solving $Av=v$. I can then determine the angle of rotation by taking $u$ such that $u\perp v$ and then ...
The sign of the shortest angle (which is in $(-\pi,\pi)$) is that of the triple product $v\cdot(u\times Au)$. (The cross product is a vector parallel to the axis, with the same or opposite orientation.)
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