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sjay05
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modification to home pg
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_data/navigation.yml

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@@ -10,4 +10,4 @@ main:
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- title: "Archive"
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url: /archives/
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- title: "Github"
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url: https://github.com/sjay05
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url: https://github.com/sjay05?tab=repositories
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---
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layout: post
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title: "My Articles"
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---
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### [Investigating the RSA Cipher & Diffe-Hellman Key Exchange](https://sjay05.github.io/MathEE.pdf)
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- Covered and proved Modular Arithmetic & Number Theory Essentials (FLT, CRT) to introduce the RSA Cipher and provide a proof of correctness.
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- My **Mathematics Extended Essay** that I completed for the IB Diploma
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### [The relationship of Temperature (˚T) on the spring constant of Polymer molecules (i.e., Rubber Bands)](https://sjay05.github.io/SL_Physics_IA.pdf)
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- Investigated an extension into Young's modulus (by comparing stress/strain under varying temperatures)
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- Outlined the limitations of Hooke's law in the real-world by considering the elasticity of rubber-like materials
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- My **Phyics Internal Assessment** that I completed for the IB Diploma (SL Physics)

_posts/pdigit/2021-10-24-pdigit.md renamed to _posts/pdigit/2022-10-24-pdigit.md

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@@ -8,7 +8,7 @@ Problem Link: [https://dmoj.ca/problem/pdigit](https://dmoj.ca/problem/pdigit)
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This post will dicuss the solution for the problem linked above, that I created
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for a mini-contest in DMOJ.
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## Statement
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### Statement
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You are given two integers ~n~ and ~k~, and can perform operations to ~n~.
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Note: ~n~ and ~k~ can be fairly large with bounds ~(1 \le n, k \le 10^9)~, and
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you are required to answer ~t~ test cases.
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## Subtask 1
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### Subtask 1
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~1 \le k, \le 9~
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Note: This subtask doesn't exist in the linked problem.
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## Subtask 2
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### Subtask 2
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~1 \le t \le 10^5~
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~1 \le n, k, \le 10^9~
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### Step 1
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#### Step 1
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Since ~t~ can be ~10^5~, we are looking for a ~\mathcal{O}(T \cdot \log N)~, or ~\mathcal{O}(T)~ with some form of log factor, unless this problem can be solved in constant time.
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articles.md

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---
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### [Investigating the RSA Cipher & Diffe-Hellman Key Exchange](https://sjay05.github.io/MathEE.pdf)
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- Focusing on how Mathematical concepts are used in cryptographic solutions to achieve Information Security
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- My Mathematics Extended Essay that I completed for the IB Diploma
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- Covered and proved Modular Arithmetic & Number Theory Essentials (FLT, CRT) to introduce the RSA Cipher and provide a proof of correctness.
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- My **Mathematics Extended Essay** that I completed for the IB Diploma
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### [The relationship of Temperature (˚T) on the spring constant of Polymer molecules (i.e., Rubber Bands)](https://sjay05.github.io/SL_Physics_IA.pdf)
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- My Phyics Internal Assessment that I completed for the IB Diploma (SL Physics)
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- Investigated an extension into Young's modulus (by comparing stress/strain under varying temperatures)
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- Outlined the limitations of Hooke's law in the real-world by considering the elasticity of rubber-like materials
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- My **Phyics Internal Assessment** that I completed for the IB Diploma (SL Physics)

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