Update index.html

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@@ -10,32 +10,34 @@ <h1># Characteristics of numbers 11, 7, 3, 5675055181, 13, 1753, 56750551851, 17
   Latter conjecture about Electroweak fields, fluid dynamics, and holomorphism.
 </h1>
 
-In this discussion I present a series of equatins, arithmetic, and various utilities in order to studying a multitude of systems. 
+<h4>In this discussion I present a series of equatins, arithmetic, and various utilities in order to studying a multitude of systems. </h4>
 I begin with pertitent information regarding origin points, but in reality I began with just numbers.
 Continuous reasoning and findings of prime numbers alongside partition review led me to discover for a another time the significance of prime numbers and partitions, including the zeta function. 
-I brought about several research topics that deal with physical laws and applications between these numbers and characteristics, as well as methodologies simply derived and interpreted by myself 
+
+<h4>I brought about several research topics that deal with physical laws and applications between these numbers and characteristics, as well as methodologies simply derived and interpreted by myself 
 and hopefully following some rational sound math formula and strategies in order to rediscover through a similar path an array of transcendental numbers,
 including a lost one, dealing with other various intricacies and multiplots of prime numbers, special formulas and conjectures, all in order to study systems that exhibit quantum mechanical behavior, 
-such as some particles. Imaginary thermodynamics anyone?
+such as some particles. Imaginary thermodynamics anyone?</h4>
 
-In this paper , https://link.springer.com/chapter/10.1007/978-3-642-87140-5_2
+<h4>In this paper , https://link.springer.com/chapter/10.1007/978-3-642-87140-5_2</h4>
 the proof of the important Orlicz- Pettis theorem which claims the equivalence of weak and strong unconditional convergence of series in Banach spaces. 
 The second paragraph contains Riemann’s theorem which asserts that absolute and unconditional convergence of series in finite dimensional vector spaces are the same, 
 and the famous Dvoretzky-Rogers theorem. The latter states the existence in every infinite dimensional Banach space of an unconditional series which is not absolutely convergent,
 a fact, which has been conjectured for about twenty years and which has been settled down by Dvoretzky and Rogers in 1950.
 
-In this PHD dissertation, Convergence of Frame Series from Hilbert spaces to Banach spaces And l^1-boundedness, https://repository.gatech.edu/entities/publication/36f42a49-2e32-4cb4-9f3e-a6196c623a47,
-similar methods and information are mentioned.
 
-Calculation of Gibbs partition function with imaginary time evolution on near-term
-quantum computers
+<h4>In this PHD dissertation, Convergence of Frame Series from Hilbert spaces to Banach spaces And l^1-boundedness, https://repository.gatech.edu/entities/publication/36f42a49-2e32-4cb4-9f3e-a6196c623a47,
+similar methods and information are mentioned.</h4>
+
+<H4><Calculation of Gibbs partition function with imaginary time evolution on near-term
+quantum computers </H4>
 https://arxiv.org/pdf/2109.14880
 
-Liouville's theorem (complex analysis) states that every bounded entire function must be constant.
+<h4>Liouville's theorem (complex analysis) states that every bounded entire function must be constant.</h4>
 
 <> 59.99 value calculated </>
 
-<> $`cos(pi/2  - log2(e)) = 0.99999750062433397480084412018728`$ </>
+<h4><> $`cos(pi/2  - log2(e)) = 0.99999750062433397480084412018728`$ </></h4>
 
 <> == 99999750062433397480084412018728, not a prime </>
 
@@ -48,7 +50,7 @@ <h1># Characteristics of numbers 11, 7, 3, 5675055181, 13, 1753, 56750551851, 17
 <> == 3829365617345466730201708252119 is not a prime </>
 
 
-<> base: 59.999 —
+<H4><> base: 59.999 —</H4>
 n=/=0
 and this constant...
 This constant 8.0365 , 
@@ -160,7 +162,7 @@ <h4> </h4>
   1 ((xn^[1/2]) + 0/n - (x)) = 0
     n = {Integral{log(e)}}
 
-  the Riemann hypothesis is the conjecture that the Riemann zeta function has its zeros only at the negative even integers and complex numbers with real part ⁠1/2
+  <h4>the Riemann hypothesis is the conjecture that the Riemann zeta function has its zeros only at the negative even integers and complex numbers with real part ⁠1/2</h4>
 
   x = sqrt(x^2 + 1)
   x = {0, |x| - 1}
@@ -175,7 +177,7 @@ <h4> </h4>
   refract at magnitude change: .81007883
   c / 11 = 205,004,561 : 2.05004561
 
-  remember |log(e)| - 1 = .5675055181
+  <H4>remember |log(e)| - 1 = .5675055181 </H4>
   .56570055 = 56570055 is divisible by 3
   .5675955181 = 5675955181 is divisible by 13
   .567055181 = 567055181 is divisible by 7
@@ -209,44 +211,44 @@ <H4>Characteristics of prime numbers 11, 7, 3, 5675055181, 13, 1753, 56750551851
 Occams razor, probabilistic determination here.
 <H4>### What is divisible by the prime numbers?</H4>
 
-567055181 is divisible by 7,  a *prime number*
-81007883 is divisible by 11, a *prime number*
-7972287, 56570055, 56750551851, 5,675,055,243 is divisible by 3, *a prime number*
-5675955181 is divisible by 13, a *prime number*
-1442695040888963 is divisible by 17, a *prime number*
-7071067811865475 is divisible by 5, a *prime number*
+<h4>567055181 is divisible by 7,  a *prime number*</h4>
+<H4>81007883 is divisible by 11, a *prime number*</H4>
+<H4>7972287, 56570055, 56750551851, 5,675,055,243 is divisible by 3, *a prime number*</H4>
+<H4>5675955181 is divisible by 13, a *prime number*</H4>
+<H4>1442695040888963 is divisible by 17, a *prime number*</H4>
+<H4>7071067811865475 is divisible by 5, a *prime number*</H4>
 
-56750551851 is *prime*
-29 is *prime*
+<H4>56750551851 is *prime*</H4>
+<H4>29 is *prime*</H4>
 
-7,364,353 is divisible by 1753, a *prime number*
+<H4>7,364,353 is divisible by 1753, a *prime number*</H4>
 
 ```
 <h4>what are three solutions to these:</h4>
 let’s coordinate based on the low prime numbers:
 and remember, based on the equations above, there still remains more prime numbers to solve
 for by arithmetic
-a1 :: 7 = 
+<h4>a1 :: 7 = </h4>
 !
-b1 :: 11
-c1 :: 3
-d1 :: 13
+<h4>b1 :: 11</h4>
+<h4>c1 :: 3</h4>
+<h4>d1 :: 13</h4>
 it isnt in order, and our scale is constantly growing. continue on with this subseries, a box if u will. apply phyiscal laws and let’s also dicsuss the perturbation of electromagnetic field via flame ore fire: 
 -
 ```
-ii = 0.207879576... (Here i is the imaginary number sqrt(-1). Isn't this a real beauty? How many people have actually considered rasing i to the i power? If a is algebraic and b is algebraic but irrational then ab is transcendental. Since i is algebraic but irrational, the theorem applies. 
+ii = 0.207879576... (Reference: Here i is the imaginary number sqrt(-1). Isn't this a real beauty? How many people have actually considered rasing i to the i power? If a is algebraic and b is algebraic but irrational then ab is transcendental. Since i is algebraic but irrational, the theorem applies. 
 
  i^i is equal to e(- pi / 2 ) and several other values. Consider i^i = e(i log i ) = e( i times i pi / 2 ) . Since log is multivalued, there are other possible values for i^i.
 Here is how you can compute the value of i^i = 0.207879576...
-1. Since e^(ix) = Cos x + i Sin x, then let x = Pi/2.
-2. Then e^(iPi/2) = i = Cos Pi/2 + i Sin Pi/2; since Cos Pi/2 = Cos 90 deg. = 0. But Sin 90 = 1 and i Sin 90 deg. = (i)*(1) = i.
-3. Therefore e^(iPi/2) = i.
-4. Take the ith power of both sides, the right side being i^i and the left side = [e^(iPi/2)]^i = e^(-Pi/2).
-5. Therefore i^i = e^(-Pi/2) = .207879576...
+<h4>1. Since e^(ix) = Cos x + i Sin x, then let x = Pi/2.</h4>
+<h4>2. Then e^(iPi/2) = i = Cos Pi/2 + i Sin Pi/2; since Cos Pi/2 = Cos 90 deg. = 0. But Sin 90 = 1 and i Sin 90 deg. = (i)*(1) = i.</h4>
+<h4>3. Therefore e^(iPi/2) = i.</h4>
+<h4>4. Take the ith power of both sides, the right side being i^i and the left side = [e^(iPi/2)]^i = e^(-Pi/2).</h4>
+<h4>5. Therefore i^i = e^(-Pi/2) = .207879576...</h4>
 
 Does this seem familiar?
  ⁠
-1/2⁠ + i t
+<h4>1/2⁠ + i t</h4>
 
 and rounding out some stuff; as well as sin - cos 
 61.5 sin elog10- cos = = -0.992420195199509
@@ -259,7 +261,7 @@ <h4>We want to get to close to 0. Because n =/= 0.</h4>
 n = {Integral{log(e)}}
     n = {Integral{log(e)}} = e(log(e) - 1)
 
-Now I am going to increment i numbers by 1/2, add them, for pooling prime numbers
+<h4>Now I am going to increment i numbers by 1/2, add them, for pooling prime numbers</h4>
 7.5i
 11.5i
 13.5i
@@ -269,19 +271,19 @@ <h4>We want to get to close to 0. Because n =/= 0.</h4>
 
 
 
-7.5 + 11.5 is 19, a *prime number*
-17.5 + 11.5 is 29, a *prime number*
+<h4>7.5 + 11.5 is 19, a *prime number*</h4>
+<h4>17.5 + 11.5 is 29, a *prime number*</h4>
 
-now apply x = sqrt(x^2 + 1)
+<h4>now apply x = sqrt(x^2 + 1)</h4>
 
 5,675,055,243 = +
 
 1.442695040888963 = log2(e)
 
-5675055181 is prime, a number i wrote wrongly (567055181...)
+<h4>5675055181 is prime, a number i wrote wrongly (567055181...)</h4>
 
 sqrt (sin(sin(0)))
-ln(e) - 1 = -7.6505219853240925714770858378589e-48
+<h4>ln(e) - 1 = -7.6505219853240925714770858378589e-48</h4>
 
 [wolfram alpha](https://www.wolframalpha.com/input?i=%7B.567055181%2C+.5052250171%7D+graph)
 
@@ -298,44 +300,44 @@ <h4>Addition and count of the prime numbers is important here. Then we get into
 
 
 
-To be continued
+<h4>To be continued</h4>
 
 
 
-  So, let's begin again with a different goal in mind to the end of this mathematics.
+ <h4> So, let's begin again with a different goal in mind to the end of this mathematics.</h4>
   With similar rules for beginning equations, I want to then take 4 random (goal is prime numbers) numbers and plot them, base a graph calculus between the two plotted points (square A exists above), and continue into the more finer work below (including the reference of the transcendetnal number 1/log(2))
   Just working with e, pi, and fraction/exponents gives a squeezing number line in order to facilitate the _____
 
   https://arxiv.org/pdf/2010.15369
   https://scipp.ucsc.edu/~haber/ph222/One%20Loop%20Renormalization%20of%20the%20Electroweak%20SM.pdf
 
-<> 59.99 + (1/log(2)) value calculated = 63.311928094887362347870319429489</>
-  <> 59.99 - (1/log(2)) value calculated = 56.668071905112637652129680570511</>
+<h4><> 59.99 + (1/log(2)) value calculated = 63.311928094887362347870319429489</></h4>
+ <h4> <> 59.99 - (1/log(2)) value calculated = 56.668071905112637652129680570511</></h4>
 <> 
 
-<> base: 56.668071905112637652129680570511 —  63.311928094887362347870319429489
+<h4><> base: 56.668071905112637652129680570511 —  63.311928094887362347870319429489</h4>
 n=/=0
 and this constant...
-This constant 8.0365 ,   e^-π/2, and 1/log(2)
- e^-π/2 = i^i = ~.2
+<h4>This constant 8.0365 ,   e^-π/2, and 1/log(2)
+ e^-π/2 = i^i = ~.2<h4>
 
-1 / (1 - a(p)/(p))
-1 / (1 - 7( e^-π/2)/( e^-π/2)) = 1/-6
+<h4>1 / (1 - a(p)/(p))</h4>
+<h4>1 / (1 - 7( e^-π/2)/( e^-π/2)) = 1/-6</h4>
 
   How interesting
 
-  e^e - pi / 2 = 13.56346...
+ <h4> e^e - pi / 2 = 13.56346...</h4>
 
  </> 
-and we will be snaggin this     n = {Integral{log(e)}} from earlier = e(log(e) - 1)
+<h4>and we will be snaggin this     n = {Integral{log(e)}} from earlier = e(log(e) - 1)</h4>
 
 <h2> ## critical numbers (some prime): </h2>
   square 2:
-- 7 a
-- 1/-6 b
-- e^-π/2 c
-- 1/log(2) d
-- e(log(e) - 1)
+<h4>- 7 a</h4>
+<h4>- 1/-6 b</h4>
+<h4>- e^-π/2 c</h4>
+<h4>- 1/log(2) d</h4>
+<h4>- e(log(e) - 1)</h4>
 
 
 
@@ -371,23 +373,22 @@ <h4> </h4>
   1 ((xn^[1/2]) + 0/n - (x)) = 0
     n = {Integral{log(e)}}
 
-  the Riemann hypothesis is the conjecture that the Riemann zeta function has its zeros only at the negative even integers and complex numbers with real part ⁠1/2
-
-  square 1
+
+  <h4>square 1</h4>
   a1 :: 7 = !
   b1 :: 11
   c1 :: 3
   d1 :: 13
 
-    square 2:
+    <h4>square 2:</h4>
 - 7 a
 - 1/-6 b
 - e^-π/2 c
 - 1/log(2) d
 - e(log(e) - 1)
 ```
 ii = 0.207879576... (Here i is the imaginary number sqrt(-1). 
-  sqrt(1/log(2)) = 1.2011224087...
+  <h4>sqrt(1/log(2)) = 1.2011224087...</h4>
 
  i^i is equal to e(- pi / 2 ) and several other values. Consider i^i = e(i log i ) = e( i times i pi / 2 ) . Since log is multivalued, there are other possible values for i^i.
 Here is how you can compute the value of i^i = 0.207879576...
@@ -397,21 +398,21 @@ <h4> </h4>
 4. Take the ith power of both sides, the right side being i^i and the left side = [e^(iPi/2)]^i = e^(-Pi/2).
 5. Therefore i^i = e^(-Pi/2) = .207879576...
 
-  sqrt(e^(-pi/2)) = 0.4559381277659962367659212947280294194166043652378518699962909794, transcendental
-  e^(-π/2)/sqrt(2) = 0.1469930581078104003917851214212680172128180592460264957869964830, transcendental
+  <h4>sqrt(e^(-pi/2)) = 0.4559381277659962367659212947280294194166043652378518699962909794, transcendental</h4>
+  <h4>e^(-π/2)/sqrt(2) = 0.1469930581078104003917851214212680172128180592460264957869964830, transcendental</h4>
 
   some like sqrt(e^(-pi/2))? 
   this value is transcendental, but i cant seem to find the equation i had that solved for it.
   this is the imaginary part.
-  1.099035748440769286220104851475676502528692878885110516870721630171012356891058664762006751384705773411555698997354, transcendental
+  <h4>1.099035748440769286220104851475676502528692878885110516870721630171012356891058664762006751384705773411555698997354, transcendental</h4>
 
-  (e^-pi) / 2 = 0.021606959131886124887208868585864005637864054905316541490359843700525382878508983849069979980950542193508403482298, transcendental
-  e^(-pi/2) = 0.2078795763507619085469556198349787700338778416317696080751358830, transcendental
+  <h4>(e^-pi) / 2 = 0.021606959131886124887208868585864005637864054905316541490359843700525382878508983849069979980950542193508403482298, transcendental</h4>
+  <h4>e^(-pi/2) = 0.2078795763507619085469556198349787700338778416317696080751358830, transcendental</h4>
 
 
-sqrt i^i = sqrt(e^-pi/2)
+<h4>sqrt i^i = sqrt(e^-pi/2)</h4>
   sqrt of i^i  is i, sqrt of e^-pi/2 is 1.099035...
-  is i = 1.099035748440769286220104851475676502528692878885110516870721630171012356891058664762006751384705773411555698997354
+  <h4>is i = 1.099035748440769286220104851475676502528692878885110516870721630171012356891058664762006751384705773411555698997354?</h4>
 
 Does this seem familiar?
  ⁠
@@ -469,7 +470,7 @@ <h4>1 ^ (1/log(2)) = 1</h4>
 
 
 
-My conclusions, 
+<h4>My conclusions, </h4>
 Complex Gravity Analysis
 G+ i+L, i imaginary number, Gravity constant G, and length measurement (for quantum probabilities)
 Gravity constant + iL(theta | x),