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    <title>Forem: Chris Stevens</title>
    <description>The latest articles on Forem by Chris Stevens (@patternician).</description>
    <link>https://forem.com/patternician</link>
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      <title>Forem: Chris Stevens</title>
      <link>https://forem.com/patternician</link>
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    <item>
      <title>Seeking Engineers with Parameter Selection Problems - Free Mathematical Analysis</title>
      <dc:creator>Chris Stevens</dc:creator>
      <pubDate>Mon, 17 Nov 2025 21:24:24 +0000</pubDate>
      <link>https://forem.com/patternician/seeking-engineers-with-parameter-selection-problems-free-mathematical-analysis-h4</link>
      <guid>https://forem.com/patternician/seeking-engineers-with-parameter-selection-problems-free-mathematical-analysis-h4</guid>
      <description>&lt;p&gt;What I'm Looking For&lt;br&gt;
I've developed a mathematical method for parameter selection in technical systems that provides provable guarantees instead of trial-and-error or simulation.&lt;/p&gt;

&lt;p&gt;But I need to validate it with real-world problems.&lt;/p&gt;

&lt;p&gt;I'm looking for engineers willing to share either:&lt;/p&gt;

&lt;p&gt;Past problems you've already solved (I'll show how my method would have approached it)&lt;br&gt;
Current problems you're actively debugging (I'll analyze and provide results)&lt;br&gt;
This is completely free. I'm seeking validation, not clients.&lt;/p&gt;

&lt;p&gt;What Problems Apply?&lt;br&gt;
My method works for systems with modular arithmetic constraints - especially when you need parameters that either avoid or satisfy specific periodic behaviors.&lt;/p&gt;

&lt;p&gt;Examples of problems that might fit:&lt;br&gt;
Distributed Systems:&lt;/p&gt;

&lt;p&gt;RNG seed selection for parallel streams (avoiding correlation)&lt;br&gt;
Hash function parameter selection (collision avoidance)&lt;br&gt;
Load balancer configuration (even distribution requirements)&lt;br&gt;
Cryptography:&lt;/p&gt;

&lt;p&gt;NTT transform sizing with prime modulus requirements&lt;br&gt;
Key generation parameter constraints&lt;br&gt;
Modular arithmetic in lattice-based crypto&lt;br&gt;
Hardware Design:&lt;/p&gt;

&lt;p&gt;FPGA/ASIC parameter selection with multiple constraints&lt;br&gt;
PRBS generator configuration&lt;br&gt;
Clock domain crossing parameters&lt;br&gt;
Scrambler/descrambler alignment&lt;br&gt;
Network Protocols:&lt;/p&gt;

&lt;p&gt;Timer interval selection (avoiding synchronization)&lt;br&gt;
Frame size selection with interoperability requirements&lt;br&gt;
Protocol parameter negotiation constraints&lt;br&gt;
Signal Processing:&lt;/p&gt;

&lt;p&gt;FFT/NTT sizing requirements&lt;br&gt;
Filter parameter selection&lt;br&gt;
Sample rate constraints&lt;br&gt;
What Makes This Different?&lt;br&gt;
Traditional approaches:&lt;/p&gt;

&lt;p&gt;Trial-and-error → "Let's try A=110 and see if it works"&lt;br&gt;
Simulation → "Run 10,000 tests and hope we caught everything"&lt;br&gt;
Heuristics → "Usually values that avoid multiples of 6 work"&lt;br&gt;
My approach:&lt;/p&gt;

&lt;p&gt;Direct calculation → "Here's the exact set of valid parameters"&lt;br&gt;
Mathematical proof → "This is guaranteed to work (or provably impossible)"&lt;br&gt;
Conflict detection → "Your constraints are incompatible because..."&lt;br&gt;
Example: FPGA Parameter Conflict&lt;br&gt;
I recently worked through a simulated scenario:&lt;/p&gt;

&lt;p&gt;Problem: 16-lane FPGA PHY with constraints across PRBS generators, scramblers, and NTT blocks. Needed one parameter A that satisfied:&lt;/p&gt;

&lt;p&gt;AVOID: p=3 at depth t=3 (PRBS collision)&lt;br&gt;
AVOID: p=5 at depth t=2 (PRBS collision)&lt;br&gt;
AVOID: p=7 at depth t=3 (scrambler alignment)&lt;br&gt;
REQUIRE: p=11 at depth t=2 (NTT sizing)&lt;br&gt;
REQUIRE: p=12289 at depth t=2 (external interop)&lt;br&gt;
Traditional approach: Test various values of A, simulate, hope for the best.&lt;/p&gt;

&lt;p&gt;My analysis (result &amp;lt;24 hours):&lt;/p&gt;

&lt;p&gt;Calculated exact modulus for each constraint&lt;br&gt;
Combined them mathematically&lt;br&gt;
Found fundamental conflict: REQUIRE constraints force divisibility by 20, but AVOID constraint forbids it&lt;br&gt;
Proved no single value of A can satisfy all constraints&lt;br&gt;
Provided 4 resolution options with trade-offs&lt;br&gt;
Value: Catching this at design time vs. discovering during hardware bring-up (6+ weeks later, $500K+ respin cost).&lt;/p&gt;

&lt;p&gt;What I Need From You&lt;br&gt;
If you have a problem that might fit:&lt;/p&gt;

&lt;p&gt;Option 1: Post in Comments&lt;br&gt;
Brief description of your problem&lt;br&gt;
What you're trying to achieve&lt;br&gt;
What constraints you're working with&lt;br&gt;
I'll let you know if it's a fit&lt;br&gt;
Option 2: Email Me Directly&lt;br&gt;
&lt;a href="mailto:cwstevens71@gmail.com"&gt;cwstevens71@gmail.com&lt;/a&gt;&lt;/p&gt;

&lt;p&gt;Include:&lt;/p&gt;

&lt;p&gt;System description (what are you building/debugging?)&lt;br&gt;
The problem (what's going wrong? what behavior do you need?)&lt;br&gt;
Constraints (must avoid X, must support Y, compatibility requirements)&lt;br&gt;
What you've tried (simulation? trial-and-error? how long have you spent?)&lt;br&gt;
Confidentiality:&lt;/p&gt;

&lt;p&gt;Don't share proprietary algorithms or trade secrets&lt;br&gt;
You can describe the problem structure without revealing company-specific details&lt;br&gt;
Example: "We have an LCG with modulus 2^32" is fine, don't need to share the specific constants&lt;br&gt;
I won't publish anything about your specific case without permission&lt;br&gt;
What You'll Get&lt;br&gt;
In return for sharing your problem:&lt;/p&gt;

&lt;p&gt;Free analysis (typically 24-48 hours)&lt;/p&gt;

&lt;p&gt;Mathematical framework for your constraints&lt;br&gt;
Calculated parameters (or proof of impossibility)&lt;br&gt;
Verification approach&lt;br&gt;
My methods/reasoning&lt;/p&gt;

&lt;p&gt;See exactly how I approached it&lt;br&gt;
Understand if/why it worked&lt;br&gt;
Feedback opportunity&lt;/p&gt;

&lt;p&gt;Tell me what was useful vs. not useful&lt;br&gt;
Help shape this into something more engineers can use&lt;br&gt;
What I'll Learn&lt;br&gt;
From you:&lt;/p&gt;

&lt;p&gt;Does this method actually solve real problems?&lt;br&gt;
What use cases am I missing?&lt;br&gt;
How do engineers prefer to receive this type of analysis?&lt;br&gt;
Is the value proposition real or imagined?&lt;br&gt;
What would make this more useful?&lt;br&gt;
This is validation research, not a sales pitch. I genuinely want to know if this helps or if I'm solving problems that don't actually exist.&lt;/p&gt;

&lt;p&gt;My Background&lt;br&gt;
Independent mathematics researcher&lt;br&gt;
Peer-reviewed publications in p-adic methods and number theory&lt;br&gt;
ORCID: 0009-0005-4161-6615&lt;br&gt;
Developed this method over years of research&lt;br&gt;
Now testing if it has practical engineering value&lt;br&gt;
Questions I Expect&lt;br&gt;
Q: Why free?&lt;br&gt;
A: I need to validate this works on real problems before I can claim it's useful. Your problem + feedback is valuable to me.&lt;/p&gt;

&lt;p&gt;Q: What if my problem doesn't fit?&lt;br&gt;
A: I'll tell you honestly within 24 hours. Not every problem is a fit, and that's useful data too.&lt;/p&gt;

&lt;p&gt;Q: How technical do I need to be?&lt;br&gt;
A: As technical as you're comfortable with. More detail = better analysis, but I can work with high-level descriptions too.&lt;/p&gt;

&lt;p&gt;Q: Will you share my problem publicly?&lt;br&gt;
A: Not without your explicit permission. I might ask if I can use it as an anonymous case study later, but that's optional.&lt;/p&gt;

&lt;p&gt;Q: What's the catch?&lt;br&gt;
A: No catch. Worst case for you: I analyze your problem and it doesn't help. Best case: You get useful results and I learn something.&lt;/p&gt;

&lt;p&gt;Ready to Help?&lt;br&gt;
Comment below with a brief description, or email &lt;a href="mailto:cwstevens71@gmail.com"&gt;cwstevens71@gmail.com&lt;/a&gt; with details.&lt;/p&gt;

&lt;p&gt;Looking for 5-10 real problems to validate this approach.&lt;/p&gt;

&lt;p&gt;Thanks for reading, and I hope I can help solve (or at least shed light on) some interesting problems!&lt;/p&gt;

&lt;p&gt;Christopher W. Stevens (Independent Mathematical Researcher)&lt;br&gt;
&lt;a href="mailto:cwstevens71@gmail.com"&gt;cwstevens71@gmail.com&lt;/a&gt;&lt;/p&gt;

</description>
      <category>tools</category>
      <category>cryptography</category>
      <category>networksec</category>
      <category>securecoding</category>
    </item>
    <item>
      <title>Seeking Engineers with Parameter Selection Problems - Free Mathematical Analysis</title>
      <dc:creator>Chris Stevens</dc:creator>
      <pubDate>Sun, 16 Nov 2025 23:24:40 +0000</pubDate>
      <link>https://forem.com/patternician/seeking-engineers-with-parameter-selection-problems-free-mathematical-analysis-11gp</link>
      <guid>https://forem.com/patternician/seeking-engineers-with-parameter-selection-problems-free-mathematical-analysis-11gp</guid>
      <description>&lt;h2&gt;
  
  
  What I'm Looking For
&lt;/h2&gt;

&lt;p&gt;I've developed a mathematical method for parameter selection in technical systems that provides &lt;strong&gt;provable guarantees&lt;/strong&gt; instead of trial-and-error or simulation.&lt;/p&gt;

&lt;p&gt;&lt;strong&gt;But I need to validate it with real-world problems.&lt;/strong&gt;&lt;/p&gt;

&lt;p&gt;I'm looking for engineers willing to share either:&lt;/p&gt;

&lt;ul&gt;
&lt;li&gt;
&lt;strong&gt;Past problems&lt;/strong&gt; you've already solved (I'll show how my method would have approached it)&lt;/li&gt;
&lt;li&gt;
&lt;strong&gt;Current problems&lt;/strong&gt; you're actively debugging (I'll analyze and provide results)&lt;/li&gt;
&lt;/ul&gt;

&lt;p&gt;&lt;strong&gt;This is completely free.&lt;/strong&gt; I'm seeking validation, not clients.&lt;/p&gt;




&lt;h2&gt;
  
  
  What Problems Apply?
&lt;/h2&gt;

&lt;p&gt;My method works for systems with &lt;strong&gt;modular arithmetic constraints&lt;/strong&gt; - especially when you need parameters that either avoid or satisfy specific periodic behaviors.&lt;/p&gt;

&lt;h3&gt;
  
  
  Examples of problems that might fit:
&lt;/h3&gt;

&lt;p&gt;&lt;strong&gt;Distributed Systems:&lt;/strong&gt;&lt;/p&gt;

&lt;ul&gt;
&lt;li&gt;RNG seed selection for parallel streams (avoiding correlation)&lt;/li&gt;
&lt;li&gt;Hash function parameter selection (collision avoidance)&lt;/li&gt;
&lt;li&gt;Load balancer configuration (even distribution requirements)&lt;/li&gt;
&lt;/ul&gt;

&lt;p&gt;&lt;strong&gt;Cryptography:&lt;/strong&gt;&lt;/p&gt;

&lt;ul&gt;
&lt;li&gt;NTT transform sizing with prime modulus requirements&lt;/li&gt;
&lt;li&gt;Key generation parameter constraints&lt;/li&gt;
&lt;li&gt;Modular arithmetic in lattice-based crypto&lt;/li&gt;
&lt;/ul&gt;

&lt;p&gt;&lt;strong&gt;Hardware Design:&lt;/strong&gt;&lt;/p&gt;

&lt;ul&gt;
&lt;li&gt;FPGA/ASIC parameter selection with multiple constraints&lt;/li&gt;
&lt;li&gt;PRBS generator configuration&lt;/li&gt;
&lt;li&gt;Clock domain crossing parameters&lt;/li&gt;
&lt;li&gt;Scrambler/descrambler alignment&lt;/li&gt;
&lt;/ul&gt;

&lt;p&gt;&lt;strong&gt;Network Protocols:&lt;/strong&gt;&lt;/p&gt;

&lt;ul&gt;
&lt;li&gt;Timer interval selection (avoiding synchronization)&lt;/li&gt;
&lt;li&gt;Frame size selection with interoperability requirements&lt;/li&gt;
&lt;li&gt;Protocol parameter negotiation constraints&lt;/li&gt;
&lt;/ul&gt;

&lt;p&gt;&lt;strong&gt;Signal Processing:&lt;/strong&gt;&lt;/p&gt;

&lt;ul&gt;
&lt;li&gt;FFT/NTT sizing requirements&lt;/li&gt;
&lt;li&gt;Filter parameter selection&lt;/li&gt;
&lt;li&gt;Sample rate constraints&lt;/li&gt;
&lt;/ul&gt;




&lt;h2&gt;
  
  
  What Makes This Different?
&lt;/h2&gt;

&lt;p&gt;Traditional approaches:&lt;/p&gt;

&lt;ul&gt;
&lt;li&gt;Trial-and-error → "Let's try A=110 and see if it works"&lt;/li&gt;
&lt;li&gt;Simulation → "Run 10,000 tests and hope we caught everything"&lt;/li&gt;
&lt;li&gt;Heuristics → "Usually values that avoid multiples of 6 work"&lt;/li&gt;
&lt;/ul&gt;

&lt;p&gt;My approach:&lt;/p&gt;

&lt;ul&gt;
&lt;li&gt;
&lt;strong&gt;Direct calculation&lt;/strong&gt; → "Here's the exact set of valid parameters"&lt;/li&gt;
&lt;li&gt;
&lt;strong&gt;Mathematical proof&lt;/strong&gt; → "This is guaranteed to work (or provably impossible)"&lt;/li&gt;
&lt;li&gt;
&lt;strong&gt;Conflict detection&lt;/strong&gt; → "Your constraints are incompatible because..."&lt;/li&gt;
&lt;/ul&gt;




&lt;h2&gt;
  
  
  Example: FPGA Parameter Conflict
&lt;/h2&gt;

&lt;p&gt;I recently worked through a simulated scenario:&lt;/p&gt;

&lt;p&gt;&lt;strong&gt;Problem:&lt;/strong&gt; 16-lane FPGA PHY with constraints across PRBS generators, scramblers, and NTT blocks. Needed one parameter &lt;code&gt;A&lt;/code&gt; that satisfied:&lt;/p&gt;

&lt;ul&gt;
&lt;li&gt;AVOID: p=3 at depth t=3 (PRBS collision)&lt;/li&gt;
&lt;li&gt;AVOID: p=5 at depth t=2 (PRBS collision)
&lt;/li&gt;
&lt;li&gt;AVOID: p=7 at depth t=3 (scrambler alignment)&lt;/li&gt;
&lt;li&gt;REQUIRE: p=11 at depth t=2 (NTT sizing)&lt;/li&gt;
&lt;li&gt;REQUIRE: p=12289 at depth t=2 (external interop)&lt;/li&gt;
&lt;/ul&gt;

&lt;p&gt;&lt;strong&gt;Traditional approach:&lt;/strong&gt; Test various values of A, simulate, hope for the best.&lt;/p&gt;

&lt;p&gt;&lt;strong&gt;My analysis (result &amp;lt;24 hours):&lt;/strong&gt;&lt;/p&gt;

&lt;ul&gt;
&lt;li&gt;Calculated exact modulus for each constraint&lt;/li&gt;
&lt;li&gt;Combined them mathematically&lt;/li&gt;
&lt;li&gt;
&lt;strong&gt;Found fundamental conflict:&lt;/strong&gt; REQUIRE constraints force divisibility by 20, but AVOID constraint forbids it&lt;/li&gt;
&lt;li&gt;Proved no single value of A can satisfy all constraints&lt;/li&gt;
&lt;li&gt;Provided 4 resolution options with trade-offs&lt;/li&gt;
&lt;/ul&gt;

&lt;p&gt;&lt;strong&gt;Value:&lt;/strong&gt; Catching this at design time vs. discovering during hardware bring-up (6+ weeks later, $500K+ respin cost).&lt;/p&gt;




&lt;h2&gt;
  
  
  What I Need From You
&lt;/h2&gt;

&lt;p&gt;If you have a problem that might fit:&lt;/p&gt;

&lt;h3&gt;
  
  
  Option 1: Post in Comments
&lt;/h3&gt;

&lt;ul&gt;
&lt;li&gt;Brief description of your problem&lt;/li&gt;
&lt;li&gt;What you're trying to achieve&lt;/li&gt;
&lt;li&gt;What constraints you're working with&lt;/li&gt;
&lt;li&gt;I'll let you know if it's a fit&lt;/li&gt;
&lt;/ul&gt;

&lt;h3&gt;
  
  
  Option 2: Email Me Directly
&lt;/h3&gt;

&lt;p&gt;&lt;strong&gt;&lt;a href="mailto:cwstevens71@gmail.com"&gt;cwstevens71@gmail.com&lt;/a&gt;&lt;/strong&gt;&lt;/p&gt;

&lt;p&gt;Include:&lt;/p&gt;

&lt;ol&gt;
&lt;li&gt;
&lt;strong&gt;System description&lt;/strong&gt; (what are you building/debugging?)&lt;/li&gt;
&lt;li&gt;
&lt;strong&gt;The problem&lt;/strong&gt; (what's going wrong? what behavior do you need?)&lt;/li&gt;
&lt;li&gt;
&lt;strong&gt;Constraints&lt;/strong&gt; (must avoid X, must support Y, compatibility requirements)&lt;/li&gt;
&lt;li&gt;
&lt;strong&gt;What you've tried&lt;/strong&gt; (simulation? trial-and-error? how long have you spent?)&lt;/li&gt;
&lt;/ol&gt;

&lt;p&gt;&lt;strong&gt;Confidentiality:&lt;/strong&gt; &lt;/p&gt;

&lt;ul&gt;
&lt;li&gt;Don't share proprietary algorithms or trade secrets&lt;/li&gt;
&lt;li&gt;You can describe the problem structure without revealing company-specific details&lt;/li&gt;
&lt;li&gt;Example: "We have an LCG with modulus 2^32" is fine, don't need to share the specific constants&lt;/li&gt;
&lt;li&gt;I won't publish anything about your specific case without permission&lt;/li&gt;
&lt;/ul&gt;




&lt;h2&gt;
  
  
  What You'll Get
&lt;/h2&gt;

&lt;p&gt;In return for sharing your problem:&lt;/p&gt;

&lt;ol&gt;
&lt;li&gt;
&lt;p&gt;&lt;strong&gt;Free analysis&lt;/strong&gt; (typically 24-48 hours)&lt;/p&gt;

&lt;ul&gt;
&lt;li&gt;Mathematical framework for your constraints&lt;/li&gt;
&lt;li&gt;Calculated parameters (or proof of impossibility)&lt;/li&gt;
&lt;li&gt;Verification approach&lt;/li&gt;
&lt;/ul&gt;
&lt;/li&gt;
&lt;li&gt;
&lt;p&gt;&lt;strong&gt;My methods/reasoning&lt;/strong&gt;&lt;/p&gt;

&lt;ul&gt;
&lt;li&gt;See exactly how I approached it&lt;/li&gt;
&lt;li&gt;Understand if/why it worked&lt;/li&gt;
&lt;/ul&gt;
&lt;/li&gt;
&lt;li&gt;
&lt;p&gt;&lt;strong&gt;Feedback opportunity&lt;/strong&gt;&lt;/p&gt;

&lt;ul&gt;
&lt;li&gt;Tell me what was useful vs. not useful&lt;/li&gt;
&lt;li&gt;Help shape this into something more engineers can use&lt;/li&gt;
&lt;/ul&gt;
&lt;/li&gt;
&lt;/ol&gt;




&lt;h2&gt;
  
  
  What I'll Learn
&lt;/h2&gt;

&lt;p&gt;From you:&lt;/p&gt;

&lt;ul&gt;
&lt;li&gt;Does this method actually solve real problems?&lt;/li&gt;
&lt;li&gt;What use cases am I missing?&lt;/li&gt;
&lt;li&gt;How do engineers prefer to receive this type of analysis?&lt;/li&gt;
&lt;li&gt;Is the value proposition real or imagined?&lt;/li&gt;
&lt;li&gt;What would make this more useful?&lt;/li&gt;
&lt;/ul&gt;

&lt;p&gt;This is &lt;strong&gt;validation research&lt;/strong&gt;, not a sales pitch. I genuinely want to know if this helps or if I'm solving problems that don't actually exist.&lt;/p&gt;




&lt;h2&gt;
  
  
  My Background
&lt;/h2&gt;

&lt;ul&gt;
&lt;li&gt;Independent mathematics researcher&lt;/li&gt;
&lt;li&gt;Peer-reviewed publications in p-adic methods and number theory&lt;/li&gt;
&lt;li&gt;&lt;a href="https://orcid.org/0009-0005-4161-6615" rel="noopener noreferrer"&gt;ORCID: 0009-0005-4161-6615&lt;/a&gt;&lt;/li&gt;
&lt;li&gt;Developed this method over years of research&lt;/li&gt;
&lt;li&gt;Now testing if it has practical engineering value&lt;/li&gt;
&lt;/ul&gt;




&lt;h2&gt;
  
  
  Questions I Expect
&lt;/h2&gt;

&lt;p&gt;&lt;strong&gt;Q: Why free?&lt;/strong&gt;&lt;br&gt;
&lt;strong&gt;A:&lt;/strong&gt; I need to validate this works on real problems before I can claim it's useful. Your problem + feedback is valuable to me.&lt;/p&gt;

&lt;p&gt;&lt;strong&gt;Q: What if my problem doesn't fit?&lt;/strong&gt;&lt;br&gt;
&lt;strong&gt;A:&lt;/strong&gt; I'll tell you honestly within 24 hours. Not every problem is a fit, and that's useful data too.&lt;/p&gt;

&lt;p&gt;&lt;strong&gt;Q: How technical do I need to be?&lt;/strong&gt;&lt;br&gt;
&lt;strong&gt;A:&lt;/strong&gt; As technical as you're comfortable with. More detail = better analysis, but I can work with high-level descriptions too.&lt;/p&gt;

&lt;p&gt;&lt;strong&gt;Q: Will you share my problem publicly?&lt;/strong&gt;&lt;br&gt;
&lt;strong&gt;A:&lt;/strong&gt; Not without your explicit permission. I might ask if I can use it as an anonymous case study later, but that's optional.&lt;/p&gt;

&lt;p&gt;&lt;strong&gt;Q: What's the catch?&lt;/strong&gt;&lt;br&gt;
&lt;strong&gt;A:&lt;/strong&gt; No catch. Worst case for you: I analyze your problem and it doesn't help. Best case: You get useful results and I learn something.&lt;/p&gt;




&lt;h2&gt;
  
  
  Ready to Help?
&lt;/h2&gt;

&lt;p&gt;&lt;strong&gt;Comment below&lt;/strong&gt; with a brief description, or &lt;strong&gt;email &lt;a href="mailto:cwstevens71@gmail.com"&gt;cwstevens71@gmail.com&lt;/a&gt;&lt;/strong&gt; with details.&lt;/p&gt;

&lt;p&gt;Looking for 5-10 real problems to validate this approach.&lt;/p&gt;

&lt;p&gt;Thanks for reading, and I hope I can help solve (or at least shed light on) some interesting problems!&lt;/p&gt;

&lt;p&gt;Christopher W. Stevens (Independent Mathematical Researcher)&lt;br&gt;
&lt;a href="mailto:cwstevens71@gmail.com"&gt;cwstevens71@gmail.com&lt;/a&gt;&lt;/p&gt;

</description>
      <category>architecture</category>
      <category>aws</category>
      <category>distributedsystems</category>
      <category>systemsdesign</category>
    </item>
    <item>
      <title>Seeking Engineers with Parameter Selection Problems - Free Mathematical Analysis</title>
      <dc:creator>Chris Stevens</dc:creator>
      <pubDate>Sun, 16 Nov 2025 19:23:09 +0000</pubDate>
      <link>https://forem.com/patternician/seeking-engineers-with-parameter-selection-problems-free-mathematical-analysis-4bol</link>
      <guid>https://forem.com/patternician/seeking-engineers-with-parameter-selection-problems-free-mathematical-analysis-4bol</guid>
      <description>&lt;h2&gt;
  
  
  What I'm Looking For
&lt;/h2&gt;

&lt;p&gt;I've developed a mathematical method for parameter selection in technical systems that provides &lt;strong&gt;provable guarantees&lt;/strong&gt; instead of trial-and-error or simulation.&lt;/p&gt;

&lt;p&gt;&lt;strong&gt;But I need to validate it with real-world problems.&lt;/strong&gt;&lt;/p&gt;

&lt;p&gt;I'm looking for engineers willing to share either:&lt;/p&gt;

&lt;ul&gt;
&lt;li&gt;
&lt;strong&gt;Past problems&lt;/strong&gt; you've already solved (I'll show how my method would have approached it)&lt;/li&gt;
&lt;li&gt;
&lt;strong&gt;Current problems&lt;/strong&gt; you're actively debugging (I'll analyze and provide results)&lt;/li&gt;
&lt;/ul&gt;

&lt;p&gt;&lt;strong&gt;This is completely free.&lt;/strong&gt; I'm seeking validation, not clients.&lt;/p&gt;




&lt;h2&gt;
  
  
  What Problems Apply?
&lt;/h2&gt;

&lt;p&gt;My method works for systems with &lt;strong&gt;modular arithmetic constraints&lt;/strong&gt; - especially when you need parameters that either avoid or satisfy specific periodic behaviors.&lt;/p&gt;

&lt;h3&gt;
  
  
  Examples of problems that might fit:
&lt;/h3&gt;

&lt;p&gt;&lt;strong&gt;Distributed Systems:&lt;/strong&gt;&lt;/p&gt;

&lt;ul&gt;
&lt;li&gt;RNG seed selection for parallel streams (avoiding correlation)&lt;/li&gt;
&lt;li&gt;Hash function parameter selection (collision avoidance)&lt;/li&gt;
&lt;li&gt;Load balancer configuration (even distribution requirements)&lt;/li&gt;
&lt;/ul&gt;

&lt;p&gt;&lt;strong&gt;Cryptography:&lt;/strong&gt;&lt;/p&gt;

&lt;ul&gt;
&lt;li&gt;NTT transform sizing with prime modulus requirements&lt;/li&gt;
&lt;li&gt;Key generation parameter constraints&lt;/li&gt;
&lt;li&gt;Modular arithmetic in lattice-based crypto&lt;/li&gt;
&lt;/ul&gt;

&lt;p&gt;&lt;strong&gt;Hardware Design:&lt;/strong&gt;&lt;/p&gt;

&lt;ul&gt;
&lt;li&gt;FPGA/ASIC parameter selection with multiple constraints&lt;/li&gt;
&lt;li&gt;PRBS generator configuration&lt;/li&gt;
&lt;li&gt;Clock domain crossing parameters&lt;/li&gt;
&lt;li&gt;Scrambler/descrambler alignment&lt;/li&gt;
&lt;/ul&gt;

&lt;p&gt;&lt;strong&gt;Network Protocols:&lt;/strong&gt;&lt;/p&gt;

&lt;ul&gt;
&lt;li&gt;Timer interval selection (avoiding synchronization)&lt;/li&gt;
&lt;li&gt;Frame size selection with interoperability requirements&lt;/li&gt;
&lt;li&gt;Protocol parameter negotiation constraints&lt;/li&gt;
&lt;/ul&gt;

&lt;p&gt;&lt;strong&gt;Signal Processing:&lt;/strong&gt;&lt;/p&gt;

&lt;ul&gt;
&lt;li&gt;FFT/NTT sizing requirements&lt;/li&gt;
&lt;li&gt;Filter parameter selection&lt;/li&gt;
&lt;li&gt;Sample rate constraints&lt;/li&gt;
&lt;/ul&gt;




&lt;h2&gt;
  
  
  What Makes This Different?
&lt;/h2&gt;

&lt;p&gt;Traditional approaches:&lt;/p&gt;

&lt;ul&gt;
&lt;li&gt;Trial-and-error → "Let's try A=110 and see if it works"&lt;/li&gt;
&lt;li&gt;Simulation → "Run 10,000 tests and hope we caught everything"&lt;/li&gt;
&lt;li&gt;Heuristics → "Usually values that avoid multiples of 6 work"&lt;/li&gt;
&lt;/ul&gt;

&lt;p&gt;My approach:&lt;/p&gt;

&lt;ul&gt;
&lt;li&gt;
&lt;strong&gt;Direct calculation&lt;/strong&gt; → "Here's the exact set of valid parameters"&lt;/li&gt;
&lt;li&gt;
&lt;strong&gt;Mathematical proof&lt;/strong&gt; → "This is guaranteed to work (or provably impossible)"&lt;/li&gt;
&lt;li&gt;
&lt;strong&gt;Conflict detection&lt;/strong&gt; → "Your constraints are incompatible because..."&lt;/li&gt;
&lt;/ul&gt;




&lt;h2&gt;
  
  
  Example: FPGA Parameter Conflict
&lt;/h2&gt;

&lt;p&gt;I recently worked through a simulated scenario:&lt;/p&gt;

&lt;p&gt;&lt;strong&gt;Problem:&lt;/strong&gt; 16-lane FPGA PHY with constraints across PRBS generators, scramblers, and NTT blocks. Needed one parameter &lt;code&gt;A&lt;/code&gt; that satisfied:&lt;/p&gt;

&lt;ul&gt;
&lt;li&gt;AVOID: p=3 at depth t=3 (PRBS collision)&lt;/li&gt;
&lt;li&gt;AVOID: p=5 at depth t=2 (PRBS collision)
&lt;/li&gt;
&lt;li&gt;AVOID: p=7 at depth t=3 (scrambler alignment)&lt;/li&gt;
&lt;li&gt;REQUIRE: p=11 at depth t=2 (NTT sizing)&lt;/li&gt;
&lt;li&gt;REQUIRE: p=12289 at depth t=2 (external interop)&lt;/li&gt;
&lt;/ul&gt;

&lt;p&gt;&lt;strong&gt;Traditional approach:&lt;/strong&gt; Test various values of A, simulate, hope for the best.&lt;/p&gt;

&lt;p&gt;&lt;strong&gt;My analysis (result &amp;lt;24 hours):&lt;/strong&gt;&lt;/p&gt;

&lt;ul&gt;
&lt;li&gt;Calculated exact modulus for each constraint&lt;/li&gt;
&lt;li&gt;Combined them mathematically&lt;/li&gt;
&lt;li&gt;
&lt;strong&gt;Found fundamental conflict:&lt;/strong&gt; REQUIRE constraints force divisibility by 20, but AVOID constraint forbids it&lt;/li&gt;
&lt;li&gt;Proved no single value of A can satisfy all constraints&lt;/li&gt;
&lt;li&gt;Provided 4 resolution options with trade-offs&lt;/li&gt;
&lt;/ul&gt;

&lt;p&gt;&lt;strong&gt;Value:&lt;/strong&gt; Catching this at design time vs. discovering during hardware bring-up (6+ weeks later, $500K+ respin cost).&lt;/p&gt;




&lt;h2&gt;
  
  
  What I Need From You
&lt;/h2&gt;

&lt;p&gt;If you have a problem that might fit:&lt;/p&gt;

&lt;h3&gt;
  
  
  Option 1: Post in Comments
&lt;/h3&gt;

&lt;ul&gt;
&lt;li&gt;Brief description of your problem&lt;/li&gt;
&lt;li&gt;What you're trying to achieve&lt;/li&gt;
&lt;li&gt;What constraints you're working with&lt;/li&gt;
&lt;li&gt;I'll let you know if it's a fit&lt;/li&gt;
&lt;/ul&gt;

&lt;h3&gt;
  
  
  Option 2: Email Me Directly
&lt;/h3&gt;

&lt;p&gt;&lt;strong&gt;&lt;a href="mailto:cwstevens71@gmail.com"&gt;cwstevens71@gmail.com&lt;/a&gt;&lt;/strong&gt;&lt;/p&gt;

&lt;p&gt;Include:&lt;/p&gt;

&lt;ol&gt;
&lt;li&gt;
&lt;strong&gt;System description&lt;/strong&gt; (what are you building/debugging?)&lt;/li&gt;
&lt;li&gt;
&lt;strong&gt;The problem&lt;/strong&gt; (what's going wrong? what behavior do you need?)&lt;/li&gt;
&lt;li&gt;
&lt;strong&gt;Constraints&lt;/strong&gt; (must avoid X, must support Y, compatibility requirements)&lt;/li&gt;
&lt;li&gt;
&lt;strong&gt;What you've tried&lt;/strong&gt; (simulation? trial-and-error? how long have you spent?)&lt;/li&gt;
&lt;/ol&gt;

&lt;p&gt;&lt;strong&gt;Confidentiality:&lt;/strong&gt; &lt;/p&gt;

&lt;ul&gt;
&lt;li&gt;Don't share proprietary algorithms or trade secrets&lt;/li&gt;
&lt;li&gt;You can describe the problem structure without revealing company-specific details&lt;/li&gt;
&lt;li&gt;Example: "We have an LCG with modulus 2^32" is fine, don't need to share the specific constants&lt;/li&gt;
&lt;li&gt;I won't publish anything about your specific case without permission&lt;/li&gt;
&lt;/ul&gt;




&lt;h2&gt;
  
  
  What You'll Get
&lt;/h2&gt;

&lt;p&gt;In return for sharing your problem:&lt;/p&gt;

&lt;ol&gt;
&lt;li&gt;
&lt;p&gt;&lt;strong&gt;Free analysis&lt;/strong&gt; (typically 24-48 hours)&lt;/p&gt;

&lt;ul&gt;
&lt;li&gt;Mathematical framework for your constraints&lt;/li&gt;
&lt;li&gt;Calculated parameters (or proof of impossibility)&lt;/li&gt;
&lt;li&gt;Verification approach&lt;/li&gt;
&lt;/ul&gt;
&lt;/li&gt;
&lt;li&gt;
&lt;p&gt;&lt;strong&gt;My methods/reasoning&lt;/strong&gt;&lt;/p&gt;

&lt;ul&gt;
&lt;li&gt;See exactly how I approached it&lt;/li&gt;
&lt;li&gt;Understand if/why it worked&lt;/li&gt;
&lt;/ul&gt;
&lt;/li&gt;
&lt;li&gt;
&lt;p&gt;&lt;strong&gt;Feedback opportunity&lt;/strong&gt;&lt;/p&gt;

&lt;ul&gt;
&lt;li&gt;Tell me what was useful vs. not useful&lt;/li&gt;
&lt;li&gt;Help shape this into something more engineers can use&lt;/li&gt;
&lt;/ul&gt;
&lt;/li&gt;
&lt;/ol&gt;




&lt;h2&gt;
  
  
  What I'll Learn
&lt;/h2&gt;

&lt;p&gt;From you:&lt;/p&gt;

&lt;ul&gt;
&lt;li&gt;Does this method actually solve real problems?&lt;/li&gt;
&lt;li&gt;What use cases am I missing?&lt;/li&gt;
&lt;li&gt;How do engineers prefer to receive this type of analysis?&lt;/li&gt;
&lt;li&gt;Is the value proposition real or imagined?&lt;/li&gt;
&lt;li&gt;What would make this more useful?&lt;/li&gt;
&lt;/ul&gt;

&lt;p&gt;This is &lt;strong&gt;validation research&lt;/strong&gt;, not a sales pitch. I genuinely want to know if this helps or if I'm solving problems that don't actually exist.&lt;/p&gt;




&lt;h2&gt;
  
  
  My Background
&lt;/h2&gt;

&lt;ul&gt;
&lt;li&gt;Independent mathematics researcher&lt;/li&gt;
&lt;li&gt;Peer-reviewed publications in p-adic methods and number theory&lt;/li&gt;
&lt;li&gt;&lt;a href="https://orcid.org/0009-0005-4161-6615" rel="noopener noreferrer"&gt;ORCID: 0009-0005-4161-6615&lt;/a&gt;&lt;/li&gt;
&lt;li&gt;Developed this method over years of research&lt;/li&gt;
&lt;li&gt;Now testing if it has practical engineering value&lt;/li&gt;
&lt;/ul&gt;




&lt;h2&gt;
  
  
  Questions I Expect
&lt;/h2&gt;

&lt;p&gt;&lt;strong&gt;Q: Why free?&lt;/strong&gt;&lt;br&gt;
&lt;strong&gt;A:&lt;/strong&gt; I need to validate this works on real problems before I can claim it's useful. Your problem + feedback is valuable to me.&lt;/p&gt;

&lt;p&gt;&lt;strong&gt;Q: What if my problem doesn't fit?&lt;/strong&gt;&lt;br&gt;
&lt;strong&gt;A:&lt;/strong&gt; I'll tell you honestly within 24 hours. Not every problem is a fit, and that's useful data too.&lt;/p&gt;

&lt;p&gt;&lt;strong&gt;Q: How technical do I need to be?&lt;/strong&gt;&lt;br&gt;
&lt;strong&gt;A:&lt;/strong&gt; As technical as you're comfortable with. More detail = better analysis, but I can work with high-level descriptions too.&lt;/p&gt;

&lt;p&gt;&lt;strong&gt;Q: Will you share my problem publicly?&lt;/strong&gt;&lt;br&gt;
&lt;strong&gt;A:&lt;/strong&gt; Not without your explicit permission. I might ask if I can use it as an anonymous case study later, but that's optional.&lt;/p&gt;

&lt;p&gt;&lt;strong&gt;Q: What's the catch?&lt;/strong&gt;&lt;br&gt;
&lt;strong&gt;A:&lt;/strong&gt; No catch. Worst case for you: I analyze your problem and it doesn't help. Best case: You get useful results and I learn something.&lt;/p&gt;




&lt;h2&gt;
  
  
  Ready to Help?
&lt;/h2&gt;

&lt;p&gt;&lt;strong&gt;Comment below&lt;/strong&gt; with a brief description, or &lt;strong&gt;email &lt;a href="mailto:cwstevens71@gmail.com"&gt;cwstevens71@gmail.com&lt;/a&gt;&lt;/strong&gt; with details.&lt;/p&gt;

&lt;p&gt;Looking for 5-10 real problems to validate this approach.&lt;/p&gt;

&lt;p&gt;Thanks for reading, and I hope I can help solve (or at least shed light on) some interesting problems!&lt;/p&gt;

&lt;p&gt;Christopher W. Stevens (Independent Mathematical Researcher)&lt;br&gt;
&lt;a href="mailto:cwstevens71@gmail.com"&gt;cwstevens71@gmail.com&lt;/a&gt;&lt;/p&gt;

</description>
      <category>software</category>
      <category>ai</category>
      <category>machinelearning</category>
      <category>mathematics</category>
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