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Svetllana [295]
2 years ago
12

The laws of quantum physics stand to the world of elementary particles in the way that Newton's laws of classical mechanics stan

d to the macroscopic world. Almost half a century ago, Yang and Mills introduced a remarkable new framework to describe elementary particles using structures that also occur in geometry. Quantum Yang-Mills theory is now the foundation of most of elementary particle theory, and its predictions have been tested at many experimental laboratories, but its mathematical foundation is still unclear. The successful use of Yang-Mills theory to describe the strong interactions of elementary particles depends on a subtle quantum mechanical property called the "mass gap": the quantum particles have positive masses, even though the classical waves travel at the speed of light. This property has been discovered by physicists from experiment and confirmed by computer simulations, but it still has not been understood from a theoretical point of view. Progress in establishing the existence of the Yang-Mills theory and a mass gap will require the introduction of fundamental new ideas both in physics and in mathematics.
Mathematics
1 answer:
loris [4]2 years ago
3 0

Answer:

\huge\fbox\red{ᴀ}\huge\fbox\orange{ⁿ} \huge\fbox\pink{s}\huge\fbox\green{ʷ} \huge\fbox\blue{ᴇ}\huge\fbox\purple{ʳ}\

"From a quantum perspective, if you observed yourself in a particular new future that was different from your past, expected that reality to occur, and then emotionally embraced the outcome, you'd be-for a moment living in that future reality, & you would be conditioning your body to believe it was in that future in the present moment."

- Dr. Joe Dispenza

<em><u>Hope </u></em><em><u>it</u></em><em><u> </u></em><em><u>helps</u></em>

<em><u>~ʆᵒŕ∂ཇꜱꜹⱽẻⱮë</u></em>

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The sum of 3 and a number is less than 5 times the number plus 2.
Leno4ka [110]

Answer:

3+x<5x+2

Step-by-step explanation:

the sum of the number 3+xis less than so 3+x<5×x+2

<em>so</em><em> </em><em>final</em><em> </em><em>ans</em><em> </em><em>is</em><em> </em><em><u>3</u></em><em><u>+</u></em><em><u>x</u></em><em><u><</u></em><em><u>5</u></em><em><u>x</u></em><em><u>+</u></em><em><u>2</u></em>

4 0
3 years ago
Work out the value of<br> 5^8 x 5^-2 /<br> 5^4
IrinaK [193]

Answer:

the answer is 25

Step-by-step explanation:

7 0
3 years ago
If anyone could help that would be great / right answer gets brainilest
Keith_Richards [23]
2.69 cm would be the answer
7 0
3 years ago
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Mark records his science scores in each monthly assessment over a period of 5 months. In the first assessment he scores 76%. In
Trava [24]

This is the complete question:

Mark records his science scores in each monthly assessment over a period of 5 months. In the first assessment he scores 76%. In the second assessment he scores 73%. After that, his scores keep increasing by 2% in every assessment.  Assume that x represents the number of assessments since he starts recording and y represents the scores in each assessment, which of the following describes the situation?

a. a relation only b.

b. neither a function nor a relation

c. a function only

d. both a relation and a function

Answer:

  • <u><em>d. both a relation and a function</em></u>

Step-by-step explanation:

<em>A relation</em> is any statement, either verbal or mathematical, that connects, interrelates or associates, two or more elements (objects, persons, variables).

The text describes a situation where the scores in the assesments are related to the number of statements since Mark starts recording, hence this is a relation.

<h2>Is this relation a function or not?</h2>

In order for a relation be a function, the association has to be unambiguos. This means that for a given input only one output can exist. If an input can have two or more outputs, then you can not determine which is the output for that input. This is what defines whether a relation is a function or not.

In the situation described in the text, x is the input, i.e. the number of assessments since Mark starts recording the scores. Definetely, the number of assessment is not repeated: there is only one first assessment, only one second assessment, only one third assessment, ... the number of assessment cannot not get repeated. Of course, if the input is not repeated, there is only one output associated to the input (each assessment has just one associated score)  and the relation is a function.

3 0
3 years ago
Pls help this is pretty urgent
KIM [24]

Answer:

(a)  0

(b)  f(x) = g(x)

(c)  See below.

Step-by-step explanation:

Given rational function:

f(x)=\dfrac{x^2+2x+1}{x^2-1}

<u>Part (a)</u>

Factor the <u>numerator</u> and <u>denominator</u> of the given rational function:

\begin{aligned} \implies f(x) & = \dfrac{x^2+2x+1}{x^2-1} \\\\& = \dfrac{(x+1)^2}{(x+1)(x-1)}\\\\& = \dfrac{x+1}{x-1}\end{aligned}

Substitute x = -1 to find the limit:

\displaystyle \lim_{x \to -1}f(x)=\dfrac{-1+1}{-1-1}=\dfrac{0}{-2}=0

Therefore:

\displaystyle \lim_{x \to -1}f(x)=0

<u>Part (b)</u>

From part (a), we can see that the simplified function f(x) is the same as the given function g(x).  Therefore, f(x) = g(x).

<u>Part (c)</u>

As x = 1 is approached from the right side of 1, the numerator of the function is positive and approaches 2 whilst the denominator of the function is positive and gets smaller and smaller (approaching zero).  Therefore, the quotient approaches infinity.

\displaystyle \lim_{x \to 1^+} f(x)=\dfrac{\to 2^+}{\to 0^+}=\infty

5 0
1 year ago
Read 2 more answers
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