- Difference between ≈, ≃, and ≅ - Mathematics Stack Exchange
In mathematical notation, what are the usage differences between the various approximately-equal signs "≈", "≃", and "≅"? The Unicode standard lists all of them inside the Mathematical Operators B
- Normal vector to plane - Mathematics Stack Exchange
In your case, we have 3x + 0y − 7z = 12, which is equivalent to (3, 0, − 7) ⋅ (x, y, z) = 12 Comparing with above, we have the components of the normal to the plane are (3, 0, − 7) Second question: You have made a computation mistake, as has been pointed out in the other posts Your idea is nonetheless true: if you have two direction vectors lying in the plane, then their cross
- What does it mean to say a divides b - Mathematics Stack Exchange
"a divides b" means a and b are integers and there is an integer n, such that n x a = b; or, if you prefer b a ∈ Z, or if you prefer "a divides into b evenly with no remainder" The notation a | b doesn't mean what you think it does "|" isn't an operation that give a third value a | b is shorthand for the sentence "a divides b" So it goes left to right a | a2 and ak | ak + m etc
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Q A for people studying math at any level and professionals in related fields
- Design a PDA for the language L= {0^n1^n | n gt;=1}
Question: L= {0^n1^n | n>=1} I have found these transitions for the given language: 1) delta(q,0,Z)=(q,0Z) 2)delta(q,0,0)=(q,00) The above two rules will cause one 0 to be pushed onto the stack for each 0 read from the input 3) delta(q,1,0)=(p,epsilon), when we see a 1 in the input go to state p and pop one 0 from the stack 4) delta(p,1,0)=(p,epsilon), pop one 0 from stack, per 1 read from
- When log is written without a base, is the equation normally referring . . .
0 Generally it is bad practice to write logarithms without the base especially if the context hasn't been sufficiently set up If a base is to be implied, then it is better to use one of the variants, such as ln() l n () for base e e, lg() l g () for base 2 2, etc
- Find the standard matrix for a linear transformation
32 The standard matrix has columns that are the images of the vectors of the standard basis T([1 0 0]), T([0 1 0]), T([0 0 1]) So one approach would be to solve a system of linear equations to write the vectors of the standard basis in terms of your vectors [− 2 3 − 4], [3 − 2 3], [− 4 − 5 5], and then obtain (1)
- Improper integral of sin(x) x from zero to infinity
I was having trouble with the following integral: ∫∞0 sin (x) x dx My question is, how does one go about evaluating this, since its existence seems fairly intuitive, while its solution, at least to me, does not seem particularly obvious
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