XSE: The Metaphorical Mathematical Formula

These Equations are set before you today. By logic, at least one of them applies to you. You choose which one, and you choose what the undefined values will be in your life. In truth, your life can be represented with the formula XSE. You decide what the undefined value of x is: what do you meld with? and is that unknown value greater and stronger than you and/or the sum of what you integrate with?

The evolution of the “I” to an “X,” for independent integration systems engineering, or “iise.” Independent in it’s purest meaning cannot stand. If you think you can truly survive alone, remove the food, the animals, the plants, the sun, etc, then repeat if you believe true independence is possible. Mathematically speaking, “i” is an imaginary number or the “non-existent” square root of negative one (this is the only true independence which is impossible). The square (honest/even) root of a negative one (or person) doesn’t exist, only in imagination. So if the first I, independence, chooses also integration, becoming two small i’s: two “i”s are at least squaring the square root of -1. So honestly, to be square regarding the negative one, there is no square root, only a negative one.

In mathematics, “s” is the standard deviation of a sample. Standard Deviation? Of a sample? Not something enticing to identify with. In mathematics, the symbol “e” typically refers to Euler’s number, which is a fundamental mathematical constant approximately equal to 2.71828. Euler’s number is an irrational number, meaning it cannot be expressed as a simple fraction, and it is transcendental, meaning it is not a root of any non-zero polynomial equation with rational coefficients. Euler’s number plays a crucial role in calculus, particularly in the definition of the natural logarithm (denoted as ln(x)), which is the inverse function of the exponential function with base “e”. Euler’s number often arises in problems involving continuous growth or decay, such as compound interest, population growth, or radioactive decay. Key takeaways: base of the natural, irrational, decay…   -1<s2.71…  Once again, not very impressive.

IISE

Lets talk about “capitalizing.” Whether or not you choose to keep any of the lower case letters of the equation in your life’s equation, is your own choice. This next equation is outlined to represent the case of an “ii” who decides they want to capitalize their life’s equation. This takes effort and an amount of time that varies based on individual circumstances. In linear algebra, “I” often represents the identity matrix, which is a square matrix with ones on the diagonal and zeros elsewhere. The size of the identity matrix is usually indicated by a subscript, such as In for an $n\; xn$ identity matrix. Very fitting that the symbol of I involves not just a reference to identity, but also a matricing or integrating of the single value of “1” with another value, in particular, “0” … nothing. In other words, once you advance to the capital I of matricing, or expanding your identity into integrating with something outside of yourself, you remain the singular you (1) surrounded by zeros. Does this sound like something is missing? Yes. How can this be? Well if the other value, number, or entity that you are integrating with can’t produce any better than another matrix full of zero’s and ones, then those singles and zeros remain. In other words, something will remain missing, and the “I”, though capitalized is still contained in a sort of isolated singular “1”. So what can be done to improve this formula. A more challenging equation is presented further on under the section XSE.

Let’s now look at capitalizing other parts of our equation here first: The capital S in the XSE equation represents the integral symbol.

In mathematics, the integral is a fundamental concept in calculus that represents the accumulation of quantities over a continuous interval. It has two main interpretations:

1. Definite Integral: The definite integral of a function $f(x)$ over the interval $[a,b]$ is denoted by ∫abf(x)dx. Geometrically, it represents the signed area under the curve of $f(x)$ between $x=a$ and $x=b$. If the area is above the x-axis, it contributes positively, and if it is below the x-axis, it contributes negatively.

2. Indefinite Integral: The indefinite integral of a function $f(x)$ is denoted by $\int f(x)dx$. It represents a family of functions whose derivative is $f(x)$. In other words, it represents the antiderivative or the reverse process of differentiation.

The integral has many applications in mathematics and its various branches, including physics, engineering, economics, and more. Some common applications include finding areas under curves, calculating volumes and centroids of shapes, solving differential equations, and determining accumulated quantities such as distance, velocity, and displacement.

The Fundamental Theorem of Calculus is a significant result in calculus that establishes a fundamental connection between differentiation and integration. It is actually composed of two parts, known as the first and second Fundamental Theorems of Calculus.

1. First Fundamental Theorem of Calculus: Let $f(x)$ be a continuous function on the closed interval [$a,b]$, and let $F(x)$ be the function defined by F(x)=∫axf(t)dt. Then $F(x)$ is continuous on $[a,b]$ and differentiable on the open interval $(a,b)$, and its derivative F′(x) at any point $x$ in $(a,b)$ is equal to $f(x)$. In other words, F′(x)=dxd(∫axf(t)dt)=f(x).

2. Second Fundamental Theorem of Calculus: Let $f(x)$ be a continuous function on the closed interval $[a,b]$, and let $F(x)$ be any antiderivative of $f(x)$, i.e., F′(x)=f(x) for all $x$ in $(a,b)$. Then ∫abf(x)d/x=F(b)−F(a). In other words, the definite integral of a function $f(x)$ over an interval $[a,b]$ can be evaluated by finding any antiderivative of $f(x)$ and then evaluating it at the endpoints of the interval and taking their difference.

Together, these two theorems establish a powerful relationship between differentiation and integration, allowing us to compute definite integrals by finding antiderivatives and vice versa. They form the backbone of integral calculus and have numerous applications in various fields of science and engineering.

The S or integral marks a clear defining line of integration. The line that is drawn between the X (II) of the individual and their environment (spheres 2-7) which creates the parts of the sum of the sigma. So we have come a long way in this equation regarding the evolution of the “I” and the s. Now lets capitalize the e. The common mathematical symbol that reflects the capital E is the sigma. The symbol  Σ (sigma) is generally used to denote a sum of multiple terms. This symbol is generally accompanied by an index that varies to encompass all terms that must be considered in the sum. Even though there is a great portion of your life that is beyond your control, You see how much you are in control of how this equation of your life turns out.

A note on partial capitalization: “iiSE” ii still leaves you as the negative one, which still leaves you to decide what you will integrate with the sum of: more and worse negativity  or with greater values than yourself. The case still holds, if you can’t squarely (honestly and logically) compute and evaluate what is at the root of yourself, take heart, you don’t have to remain as a negative one. This is your life and you have the ability to explore capitalizing these lower case characters and transform them into something great.

XSE

Here we will analyze the equation that seems to by default be true for every life. As pointed out previously, integrating your I (identity matrix) with another I (identity matrix) no matter how large either number is, it is still mish-mashing a bunch of zeros and ones. Can that I, (that grew up from small “i”) ever become something greater than itself? Are you wanting to increase or multiply that “I” into something greater than just another identity matrix of zeros and ones? If the equation already takes into account the summation of many other values through the sigma, it may give us the most power to try multiplying one identity matrix by another, with still no different result than the previous attempt at integration.

Exhausted, acknowledging I can’t do this on my own, I lean on the comfortable x multiplication sign next to me, only to find that my counterpart (my zeros and weaknesses) had already slumped onto the other side of the x first. The X is the only thing holding me up. Have I gotten anywhere in solving this equation? I tried my hardest, I gave it my all, I used my head and followed through with the actions of achieving a good formula, and in striving to succeed I advanced from the small “i” to the double small “ii” to the capital “I”, and since I have sought the truth actively, I am on the path to finding the truth. I am now literally at the crossroads of a new beginning as “I” begins to integrate with and meld with the great multiplier. What does this mean now? I see that I and my nothingness are literally leaning on an x. In math, x represents an unknown and an undefined value.

It is your ability to choose the equation or formula that you want to apply to your life. In mathematics, no matter what, the identity matrix of the I is made up of 1’s (singles) and zeros (holes). Why not admit that nothingness and loneliness and unite with a greater value than yourself? What about an unbounded value, so great that you are incapable of comprehending, let alone describing? This undefined variable in mathematics is represented by the X.

Whether or not you’re choosing to meld with an unknown value or variable in life, you are. X is unknown, it can be anything, from a symbol of death with a skull and cross-bones, a symbol for toxic substances, a symbol of divinity, or of God Himself. You decide. You may think you are just run by yourself as an “i” or a big “I,” but, if you are going along with whatever hits you right at the moment, whether it be a soda, a movie, a muffin, a new watch, the next event, or video game, think… is that admitting to being run by the insignificant things of life? And have you ever wondered what might be strategically presenting the distractions? Perhaps you already feel “run” by some worthless things in life.

XSE makes the case that you are integrating and therefore uniting with other values and entities in your life anyway. With evaluation you can decide what variables you unite with and integrate with in your life’s equation or formula. <X>SE where x is less than nothing and greater than everything. Let’s finish with a statement of fact about XSE. In truth, your life can be represented with the formula XSE. You decide what the x is, what do you meld with, and integrate with the sum of.