Cool discovery I discovered
Science Forums » Mathematics
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1w ago
X, being a set, and Y being a set. X XNOR Y -> X XOR Y, is the basis of mathematics. Mathematics, based on my research, is about relationships which can be described using functions. These functions relate or create new sets. However there is a problem. What actually IS a relationship. Claim: A relationship is a symmetric difference -> symmetric addition. Explanation: A symmetric addition is a similarity between two sets. It is a comparison between these two sets and everything else in the universal set. By comparing both obtain something neat. Potentially a fractal. This is as far as I ..read more
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Is it possible to describe any number without reference to another number or by using a formulae such as adding / subtracting etc?
Science Forums » Mathematics
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1M ago
Good morning, I was thinking about this on a dog walk yesterday ( it makes the passage of time fly by) .  How would I describe to someone for instance what the number 4 is without using other numbers or by applying something like addition or subtraction etc. Obviously you cannot say it is the number between 3 and 5 as that uses other numbers to define it.  Then I thought about drawing 4 lines.   But then of course I am mentally counting them as a draw them, and know when to stop in the addition. Next I thought of dice  with their 1 to 6 in different patterns.  &nb ..read more
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The largest numbers
Science Forums » Mathematics
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2M ago
Are there numbers that are to large for us to represent? Finite numbers... If we calculate the number of events/interactions that take place within a defined spacetime volume   is it possible to represent  that in a conventional way ,like 10 to power of some finite number? Eg  a ball of lead with a mass of 1 kilo.   Then ,if we extrapolate and our test volume is increased to include the observed or theorized universe **  that number defies imagination but is there any way to represent it? Not infinity because it is not ,I think infinite. Not measurable,quite obvio ..read more
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10 based numeral system
Science Forums » Mathematics
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2M ago
Is  the  only  reason  that  our  mathematics are 10 based   because we  he 10  fingers and the  first  calculator was  only  our  fingers ..read more
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Statistics - How do I learn beyond first year statistics?
Science Forums » Mathematics
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4M ago
Hi team, I studies statistics in my first year of Chemistry study. That was many years ago but I found it to be an amazing topic. I would like to learn more about statistics. Presumably what people would learn if they did a second or third year course in statistics but I don't know where to find study material. What kind of textbook would teach me slightly more advanced statistics. I already know the basics of descriptive statistics as well as T tests, Z tests, Chi squad, regression, and ANOVA. As an example, I would like to learn how to do a meta-analysis. I got a book on Biostatistics and it ..read more
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Million equivalent in different !base-10 system ?
Science Forums » Mathematics
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4M ago
Human beings that I have grown up around like to round numbers up, and fixate on one hundred, or a million, and more more commonly a billion in financial terms. I've never heard anybody say that they want to be a £950,000 thousand-aire, but a millionaire perhaps, yes. However, this is likely because we in the West use a base-10 system. But what of other base systems.. e.g. the "Yuki" language of California (USA) count the webbing between the digits on their hands and thus use base-8 (octal) system. In such a system, what would be the equivalent of "I would like to be a millionaire ..read more
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Geometric Mean - How is it useful?
Science Forums » Mathematics
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5M ago
So I read that the geometric mean is a good indicator of central tendency when data is in logarithmic form. But to me, it would seem that this is a contradiction. Doesn't logarithmic data inherently not have central tendency? I should clarify that my understanding of "logarithmic" is that it means that changes are exponential. So if I have a data set of 1, 10, and 100, how could a geometric mean give me any useful data about the central tendency of this data set? There does not seem to be a central tendency ..read more
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Re-learning math from the basics. Should I go through grades or go through topics?
Science Forums » Mathematics
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5M ago
Hi, everyone! I'm planning on restudying math from the beginning (K-12), via KhanAcademy, MathIsFun, and plenty of other resources. Now, what I'd like to ask is, as the title says, should I study material grade by grade or topic by topic? Additionally, is there a way to test myself to know from which grade/topic I should start, like doing some sort of "evaluation test" or something similar whether on KhanAcademy or some other website? I'm asking this primarily because I know that early math will be a breeze to go through, so instead of wasting time on that, I would like to know if there is a ..read more
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Apply trigonometric methods in solving problems
Science Forums » Mathematics
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6M ago
Can anyone help me with this question, I'm unsure on where to start  Tides vary so the high tide and low tide height of the water is different every day. At certain times of the year, such as a Spring tide, the water can be very deep and it may not be safe to cross the inlet. During one big tide, the water was 3.9 metres deep at high tide and 0.7 metres deep at low tide. The Department of Conservation (DOC) recommends that walkers only cross the inlet within one and a half hours before low tide and two hours after low tide. Find a safe time to cross the inlet during this big tid ..read more
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Binary to ASCII Request
Science Forums » Mathematics
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6M ago
Me and a friend solved this binary once before in the past, using some kind of backwards logic. It doesn't convert straight to ASCII as it is is not really ASCII characters or even binary.  It appears to be. But only in sense of language. While translating to ASCII from binary you might find that the result is completely encoded. So it's a sort of puzzle, in that sense, and it contains a message. The one time it did get translated, it was Douglas Engelbart. That's what it meant. I'm trying to remember how it was done. I'm asking for help on this.   I remember that the first step was ..read more
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