The marginal cost per book.

rocedwrp
2020-11-05
Answered

The marginal cost per book.

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asked 2020-10-18

Find the x-and y-intercepts of the graph of the equation algebraically.

$4x-5y=12$

asked 2020-10-18

Determine whether each statement is true or false. If the statement is false, make the necessary change(s) to produce a true statement.
1 gram = 1000 kilograms ___

asked 2022-07-08

I am from a non-mathematics background but the course that I am taking in probability class is built on measure theory. I found many theorems stated in the book hard to comprehend and I think that's partly due to my insufficient maths background. I am self-learning real analysis currently and think it may be equally important to systematically learn abstract algebra if I really want to know the logic behind the probability class I am currently taking.

I find myself completely lost proceeding to the following section of the text.

"Let $R$ be a relation, $A$ a mathematical object, and $x$ a letter (i.e., a "totally indeterminate" mathematical object). In the assembly of letters and fundamental signs which constitutes the relation $R$, replace the letter $x$ wherever it occurs by the assembly $A$. One of the criteria for forming relations is that the assembly so obtained is again a relation, which is denoted $(\ast )$ by the notation

$(\mathrm{A}\mid x)\mathrm{R}$

and is called the relation obtained by substituting $A$ for $x$ in $R$, or by giving $x$ the value $A$ in $R$. The mathematical object A is said to satisfy the relation $R$ if the relation $(\mathrm{A}\mid x)\mathrm{R}$ is true. It goes without saying that if the letter $x$ does not appear at all in the assembly $R$, then the relation $(\mathrm{A}\mid x)\mathrm{R}$ is just $R$, and in this case to say that $A$ satisfies $R$ means that $R$ is true."

However, I do appreciate the textbook that is self-contained and appreciate the author devoted to mathematical reasoning so rigorously at the beginning of the chapter. I tried to find some textbook about mathematical logic but they are either too abstract or not thorough enough that seems to start from the most fundamental (i.e. from axiom and the most basic rule).

I have read relevant posts on the subject I am asking but can't decide the material right for me. I am wondering if there are any materials or textbooks that introduce mathematical logic rigorously and serve as a supplementary text for me to understand the first chapter of the book? If there really isn't any textbook that is not too abstract but rigorous enough, I am wondering if there are any other textbooks on abstract algebra that start from mathematical logic and build the whole system from the scratch?

I find myself completely lost proceeding to the following section of the text.

"Let $R$ be a relation, $A$ a mathematical object, and $x$ a letter (i.e., a "totally indeterminate" mathematical object). In the assembly of letters and fundamental signs which constitutes the relation $R$, replace the letter $x$ wherever it occurs by the assembly $A$. One of the criteria for forming relations is that the assembly so obtained is again a relation, which is denoted $(\ast )$ by the notation

$(\mathrm{A}\mid x)\mathrm{R}$

and is called the relation obtained by substituting $A$ for $x$ in $R$, or by giving $x$ the value $A$ in $R$. The mathematical object A is said to satisfy the relation $R$ if the relation $(\mathrm{A}\mid x)\mathrm{R}$ is true. It goes without saying that if the letter $x$ does not appear at all in the assembly $R$, then the relation $(\mathrm{A}\mid x)\mathrm{R}$ is just $R$, and in this case to say that $A$ satisfies $R$ means that $R$ is true."

However, I do appreciate the textbook that is self-contained and appreciate the author devoted to mathematical reasoning so rigorously at the beginning of the chapter. I tried to find some textbook about mathematical logic but they are either too abstract or not thorough enough that seems to start from the most fundamental (i.e. from axiom and the most basic rule).

I have read relevant posts on the subject I am asking but can't decide the material right for me. I am wondering if there are any materials or textbooks that introduce mathematical logic rigorously and serve as a supplementary text for me to understand the first chapter of the book? If there really isn't any textbook that is not too abstract but rigorous enough, I am wondering if there are any other textbooks on abstract algebra that start from mathematical logic and build the whole system from the scratch?

asked 2020-11-22

Find the x-and y-intercepts of the graph of the equation algebraically.

$y=16-3x$

asked 2022-06-02

See above. I am trying to re-teach myself mathematics in a different manner than is formally taught (i.e., set theory, number theory, mathematical logic, abstract algebra, discrete math and then precalculus (college algebra and analytical geometry). These are the pillars to upper level mathematics correct?

asked 2020-11-22

Find the x-and y-intercepts of the graph of the equation algebraically.

$y=-\frac{1}{2}x+\frac{2}{3}$

asked 2022-06-02

I just started my first upper level undergrad course, and as we were being taught vector spaces over fields we quickly went over fields. What confused me that the the set {0, 1, 2} was a field. However, to my understanding, that set doesn't satisfy the axiom, "For every element a in F, there is an element b such that a+b=0", among others. Can someone help clarify where my understanding is off.

Also one my friend states "for every prime power p^n, there exists a field with ${p}^{n}$ elements" and then doesn't expand on it. If someone could give an example or proof i would be very grateful.

Also one my friend states "for every prime power p^n, there exists a field with ${p}^{n}$ elements" and then doesn't expand on it. If someone could give an example or proof i would be very grateful.