In our feet, other than the large toe, the other toes cannot be moved separately. If we try to move them, then all the four toes move together. We cannot move each toe by itself.  Same thing occurs in the hands of some of us, where we cannot move the little finger by itself. While folding the little finger, the ring finger before that also has to be folded to some extent, and vice-versa.  An explanation to the problem with the ring finger and the little finger can be found .  The phalanges make the toes. Are the phalanges of the small toes connected, such that we cannot move them separately?
123369
Why is it that we need to move little finger in order to move ring finger with it? For example, put your palm on a table and fold your middle finger inside. You won't be able to move your ring finger unless you move your little finger along with it. Why?  and  and various other guitarists are the only people that I'm aware of that use the ring finger and looks independent. Is it possible to have surgery to make the fingers independent or is it not functional to do that?
34465
Simple question, the curiosity is killing me. Why do microcontrollers (and other IC also, like RAMs) have pins not grouped together?   Like in STM32, for example you have portA and it has 8 bits on one side of IC and the other 8 bits at the opposite corner of IC... Why? It make routing PCB much harder. What is the reason or purpose of such alignment? Why couldn't they put it next to each other? And why do 32-bit uCs (like STM32) have 16-bit wide ports, when they could have 32-bit wide?  The same goes with RAMs - address pins and data pins are scattered almost randomly over the IC. Why?  Inside the IC there are plenty of routing layers, so what's the reason they couldn't add one more to group pins in some logical order?
34260
RNA is known to act as an enzyme via its ability to fold itself in specific ways.   Is DNA capable of such structures? Or is it some biochemical reason stopping the folding? Have they been observed in nature?
115432
There are nine pairs of gloves each of different colors in how many ways can we select six gloves such that each is of different color? I tried like this : First number of ways in which we can select 6 colors out of nine it is $^9C_6$  ways. Then we can arrange it in 6! ways and also we can select either of two gloves out of the 6 in $2^6$ ways. Hence required number of ways should be $^9C_6$  .$2^6$.6!
88328
I have moved multiple vertices gradually but a set of vertices at a time not all at a time, as shown in the animation below (First I moved the four vertices from top, then three, then two and at last the last vertex).  I wanted to do the same thing as shown in the animation below but all at a time.
106792
So I made this shape using guides, shapes, and connecting all the lines with the Penn tool. This is what it looks like   Now because I used the pen tool not all the lines are connected, ex:   Because of this some of the corners are messed up, here is what they should look like   But some of them look like this because the lines are not one shape   I can't seem to get the "join" function to work when I select two of the points. Is there a good way to join the points together to make them one pen path or shape??
21483
I'm trying to fold a cube with an animation. I've tried inverse kinetics with no luck. Here are some images that explain what I'm trying to do. I'm trying to make this so that    when the upper bone is pushed down, the box is folded to the ground. when the upper bone is pulled up, it unfolds the box.
40052
I want to make the teeth a separate child object from the mouth. I want to know the best way to do this.   I have tried going into edit mode with Tab and trying to select all the vertices but that doesn't move the teeth. Is there an easy way to select just that part and make it a separate child mesh to the rest of the mouth?
101829
Not every left  ring is left . Take $\mathbb{Z}$ as a quick example.  But:     : a left Artinian ring is left Noetherian.   I find this quite amazing. I find this asymmetry shocking. It just seems plain unreasonable that there are rings where every ascending chain of ideals stabilizes but not every descending chain stabilizes, and at the same time  every ring with stabilizing descending chains has stabilizing ascending chains.  I know asymmetries abound in ring/module theory, but this one strikes me as more elementary and uncanny.  My question is:     Why does this happen?   Of course, this question is at an informal level; I'm not asking for a proof of the theorem. I just want to understand why one chain condition implies the other, but not the other way around. At first glance, it just seems so symmetrical, that I would have expected the conditions to be equivalent, or to have neither condition implying the other.  My very naive first observation is that for noetherian rings, we have the characterization "every ideal is finitely generated", but for artinian rings there is not (that I know of) a simple analog, which is perhaps the first spark of an asymmetry...
29041
I'm looking for a way to have two separate objects be connected, so that when I move the first object the second one will move also. The term parent is used, but how do I parent a object?
12015
I came across a combinatorial proof of the Fermat's Little Theorem which states that    If $p$ is a prime number then the number ($a$$p$-$a$) is a multiple of $p$ for any natural number $a$.  Let me write down the proof.    PROOF  We have pearls of $a$ colours . From these we make necklaces of exactly $p$ pearls .   First,we make a string of pearls . There are $a$$p$ different strings.If we throw away  the $a$ one one -coloured pearls  ($a$$p$-$a$) strings will remain.We connect the ends of each string to get necklaces.We find that two strings that differ only by a cyclic permutation of its pearls result in indistinguishable necklaces.But there are $p$ cyclic permutations of $p$ pearls on a string . Hence the number of distinct necklaces is    [($a$$p$-$a$)/$p$].  Because of this interpretation this is an integer.Thus ($a$$p$-$a$) is a multiple of $p$ for any natural number $a$. [HENCE PROVED]     MY CONFUSIONS    What is the use of the fact that $p$ is a prime in this proof?  If this proof is true then why is this not true for every positve integer $p$?
5000
My physics textbook says that friction mainly arises due to intermolecular attraction between atoms of the objects in contact and clashes between peaks are only significant for rough surfaces. I was wondering, if friction arises due to intermolecular attraction, why doesn't it oppose lifting a body as well(considering that the atoms are attracted to each other). Why doesn't it oppose rolling? (even when there is no slippage, if atoms of the contact patch are attracted to the atoms in the ground, there should be a force opposing movement)   Another related question: Is there an intuitive reason why(for most pairs of surfaces) kinetic friction is lower than static friction?
4352
Given Newton's third law, why is there motion at all? Should not all forces even themselves out, so nothing moves at all? When I push a table using my finger, the table applies the same force onto my finger like my finger does on the table just with an opposing direction, nothing happens except that I feel the opposing force. But why can I push a box on a table by applying force ($F=ma$) on one side, obviously outbalancing the force the box has on my finger and at the same time outbalancing the friction the box has on the table? I obviously have the greater mass and acceleration as for example the matchbox on the table and thusly I can move it, but shouldn't the third law prevent that from even happening? Shouldn't the matchbox just accommodate to said force and applying the same force to me in opposing direction?
32549
Ok, this is a bit of a tangent question, but it came up yesterday and I didn't know the answer:  How are arms and legs defined physiologically? For example, we say humans have two arms and two legs, while cats have four legs, and some monkeys (appear) to have four arms (although I guess they could be legs too). It's really unclear to me how we make these distinctions.   So:  What is the physiological definition of both "arm" and "leg"? How are they different?
99617
This question is similar, but not identical to:   Whereas the aforementioned question is about whether the hand’s movement is measured from the hand’s point of view or from the caster’s, this question revolves around the total distance the hand can travel to reach its destination.  To illustrate, let me give an example: Two narrow stone pillars stand next to each other, 10 feet apart. They are several kilometers high and on top of each pillar stands a wizard. One wizard casts Maximillian's Earthen Grasp and lets the hand made from compacted soil rise from the ground on his own pillar. With another action, he wants to move the hand in order to restrain the other wizard, who is within range of 30 feet.  Would the hand retract into his own pillar, then rise again from the ground on the other pillar? Or would the hand move several kilometers down the first pillar, across the floor, then several kilometers up the second pillar? What if both pillars would float in the Astral Plane, without a direct ground-based connection between them?  This might seem like a stupid and unnecessary convoluted question, but lo and behold, something similar happened in one of my games.
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When I wrap my fingers around my roadie's headset, I'm able to 'rotate' some parts of it freely around.   Should this be happening? If it should not be happening, what is causing this and is it dangerous? The bolt that attaches the stem to the headset near the topcap (not sure if that's the proper way to describe it) is tightened, so it won't be due to a loose bolt.
55001
I have noticed that while sitting in the Sukhasan posture(picture below) for a long time, my feet suddenly become all stiff and i am unable to move it. What I deduce from the experience is that it is static, though I fail to understand how it accumulated at my feet.Does anyone have an explanation for this?