looking for a math partner
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I was a teacher for many years, and I have taught high school math, calculus and stats.
PM me if you need help.
I came to the conclusion a lot of people have math block, and it is not about the sides of the brain. Hopefully, we can work around the blocks and give you some confidence.
Actually, math is the most logical and easiest subject there is. To say nothing of the fact, that if you get the right answer, you get 100%, no marks off for attitude, approach or the subjective feelings of the marker!
PM me if you need help.
I came to the conclusion a lot of people have math block, and it is not about the sides of the brain. Hopefully, we can work around the blocks and give you some confidence.
Actually, math is the most logical and easiest subject there is. To say nothing of the fact, that if you get the right answer, you get 100%, no marks off for attitude, approach or the subjective feelings of the marker!
Divide-By-Zero FAQ ver 0.1
Q: Can I divide by zero?
A: Yes.
Q: How do I divide by zero?
A: It's a two-step process:
Step 1: create a Riemann sphere for the purposes of this exercise, you can make one up in your head if you don't have any paper
(definition) -> Riemann sphere - Encyclopedia of Mathematics
Step 2: write (or think) the following: 1 / 0 = ∞
(proof) -> Riemann sphere - Wikipedia, the free encyclopedia
(definition) -> Riemann sphere - Encyclopedia of Mathematics
Step 2: write (or think) the following: 1 / 0 = ∞
(proof) -> Riemann sphere - Wikipedia, the free encyclopedia
Q: Surely that's just complex analysis?
A: Not at all--it's useful to explain the gravitational properties of black holes.
Yes Infinity is not a number, but an abstract concept. (it's not a function)
However infinity is really useful in mathematics and science in general.
In arithmetic, it doesn't make sense to divide a number by zero. ( Dividing something by nothing. Like can you divide apples amongst no children, eg.)
Division by zero is considered undefined and indeterminate.
However in complex mathematics and even in calculus, (if you take the limit of x/y and y approaches 0 from either left to right, graphically you'd view that x approaches infinity negatively/positively blah blah)
However in layman's terms, I would just say.
"Hey. Division is repetitive subtraction. For eg, if you wish to divide 8 by 2, keep subtracting 2 from 8 until you get, 0 or a number less than 2 (for whole numbers it would be 1). The number of times you subtract is your quotient, 2 is your divisor, 8 is your dividend and 0 or 1 is your remainder.
Now if you wish to divide a number by 0, you'd have to repetitively subtract a number with 0.
Now think about it, when you subtract nothing from something, you're still left with something. So constantly subtracting a number with 0, just gives you the number itself.
So if you ever wish to reach a number less than your divisor, you'd have to KEEP subtracting 0 from your number forever.
If you ever stop, that would be your infinity"
(Division by zero leading to infinity in non-complex terms. My take on it. )
Job 38:1-7 Then the LORD answered Job out of the whirlwind, and said, .... Where wast thou when I laid the foundations of the earth? declare, if thou hast understanding. Who hath laid the measures thereof, if thou knowest? or who hath stretched the line upon it? Whereupon are the foundations thereof fastened? or who laid the corner stone thereof; When the morning stars sang together, and all the sons of God shouted for joy?
God can divide by zero, we just can't really understand it.
-> Black Holes/CetinBAL-GSM:+90 05366063183-Turkey/Denizli
Singularity
A place where the known laws of physics no longer apply, where, as Caltech physicist Kip Thorne (1940-) puts it, gravity "unglues" space and time. Singularities may be points, one-dimensional lines, or even two-dimensional sheets. The general theory of relativity predicts that singularities form inside black holes but are concealed from the rest of the universe behind event horizons. A proper formulation of quantum gravity may well avoid the infinities associated with classical singularities.
Strange Stuff Explained: Singularity
The destiny of all matter that falls into a black hole is to get crushed to a point of zero volume and infinite density—a singularity. General relativity also implies that our expanding universe began from a singularity.
A singularity is a region of space-time in which gravitational forces are so strong that even general relativity, the well-proven gravitational theory of Einstein, and the best theory we have for describing the structure of the universe, breaks down there. A singularity marks a point where the curvature of space-time is infinite, or, in other words, it possesses zero volume and infinite density. General relativity demands that singularities arise under two circumstances. First, a singularity must form during the creation of a black hole. When a very massive star reaches the end of its life, its core, which was previously held up by the pressure of the nuclear fusion that was taking place, collapses and all the matter in the core gets crushed out of existence at the singularity. Second, general relativity shows that under certain reasonable assumptions, an expanding universe like ours must have begun as a singularity.
God can divide by zero, we just can't really understand it.
-> Black Holes/CetinBAL-GSM:+90 05366063183-Turkey/Denizli
Singularity
A place where the known laws of physics no longer apply, where, as Caltech physicist Kip Thorne (1940-) puts it, gravity "unglues" space and time. Singularities may be points, one-dimensional lines, or even two-dimensional sheets. The general theory of relativity predicts that singularities form inside black holes but are concealed from the rest of the universe behind event horizons. A proper formulation of quantum gravity may well avoid the infinities associated with classical singularities.
Strange Stuff Explained: Singularity
The destiny of all matter that falls into a black hole is to get crushed to a point of zero volume and infinite density—a singularity. General relativity also implies that our expanding universe began from a singularity.
A singularity is a region of space-time in which gravitational forces are so strong that even general relativity, the well-proven gravitational theory of Einstein, and the best theory we have for describing the structure of the universe, breaks down there. A singularity marks a point where the curvature of space-time is infinite, or, in other words, it possesses zero volume and infinite density. General relativity demands that singularities arise under two circumstances. First, a singularity must form during the creation of a black hole. When a very massive star reaches the end of its life, its core, which was previously held up by the pressure of the nuclear fusion that was taking place, collapses and all the matter in the core gets crushed out of existence at the singularity. Second, general relativity shows that under certain reasonable assumptions, an expanding universe like ours must have begun as a singularity.
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M
Yes Infinity is not a number, but an abstract concept. (it's not a function)
However infinity is really useful in mathematics and science in general.
In arithmetic, it doesn't make sense to divide a number by zero. ( Dividing something by nothing. Like can you divide apples amongst no children, eg.)
Division by zero is considered undefined and indeterminate.
However in complex mathematics and even in calculus, (if you take the limit of x/y and y approaches 0 from either left to right, graphically you'd view that x approaches infinity negatively/positively blah blah)
However in layman's terms, I would just say.
"Hey. Division is repetitive subtraction. For eg, if you wish to divide 8 by 2, keep subtracting 2 from 8 until you get, 0 or a number less than 2 (for whole numbers it would be 1). The number of times you subtract is your quotient, 2 is your divisor, 8 is your dividend and 0 or 1 is your remainder.
Now if you wish to divide a number by 0, you'd have to repetitively subtract a number with 0.
Now think about it, when you subtract nothing from something, you're still left with something. So constantly subtracting a number with 0, just gives you the number itself.
So if you ever wish to reach a number less than your divisor, you'd have to KEEP subtracting 0 from your number forever.
If you ever stop, that would be your infinity"
(Division by zero leading to infinity in non-complex terms. My take on it. )
However infinity is really useful in mathematics and science in general.
In arithmetic, it doesn't make sense to divide a number by zero. ( Dividing something by nothing. Like can you divide apples amongst no children, eg.)
Division by zero is considered undefined and indeterminate.
However in complex mathematics and even in calculus, (if you take the limit of x/y and y approaches 0 from either left to right, graphically you'd view that x approaches infinity negatively/positively blah blah)
However in layman's terms, I would just say.
"Hey. Division is repetitive subtraction. For eg, if you wish to divide 8 by 2, keep subtracting 2 from 8 until you get, 0 or a number less than 2 (for whole numbers it would be 1). The number of times you subtract is your quotient, 2 is your divisor, 8 is your dividend and 0 or 1 is your remainder.
Now if you wish to divide a number by 0, you'd have to repetitively subtract a number with 0.
Now think about it, when you subtract nothing from something, you're still left with something. So constantly subtracting a number with 0, just gives you the number itself.
So if you ever wish to reach a number less than your divisor, you'd have to KEEP subtracting 0 from your number forever.
If you ever stop, that would be your infinity"
(Division by zero leading to infinity in non-complex terms. My take on it. )
Rachel, Would you be so kind as to do me a favor and calculate Pi to the last digit real quick, then we'll continue.
M
Alright since it was requested I continue I shall continue for Rachel and Praus
(good one by the way with the tip)
Rachel I do notice you're very intelligent and highly trained.
Perhaps you can help me with something.
Using your method of division by way of subtracting the divisor repeatedly...
What is 8 divided by 3 using the method you describe in the quoted example above?
(good one by the way with the tip
)Rachel I do notice you're very intelligent and highly trained.
Perhaps you can help me with something.
Using your method of division by way of subtracting the divisor repeatedly...
What is 8 divided by 3 using the method you describe in the quoted example above?
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