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TITLE: Request for Mathematical Consistency Evaluation of a Geometric Framework I am seeking an applied mathematician to provide a mathematical integrity check on a constrained geometric framework I have developed. The framework consists of: • A 3-dimensional spherical octant domain. • Six smooth surfaces, arranged as three fixed surfaces and three movable (“live”) surfaces. • At every admissible state, the three live surfaces have a single unique intersection point, which must lie on a pre-defined radial axis within the octant. • The displacements of the live surfaces are represented by three scalar parameters, which are always linked by one invariant constraint (formally: one equation in three variables). • State evolution occurs in discrete steps, and the invariant must hold at each step. Your task: 1. Determine whether such a system is mathematically self-consistent. 2. Determine whether a discrete update rule can exist that preserves the invariant and the radial constraint simultaneously. 3. Determine whether an extremal radial point (“saturation radius”) is mathematically admissible under these constraints. This is not a physics problem. It is a geometric consistency problem involving surfaces, invariants, constrained intersections, and discrete evolution. No formulae or mechanisms are required from you — only an examination of: • internal consistency, • existence of valid configurations, • and whether the stated constraints can coexist without contradiction. The work is small, finite, and well-bounded. If you are interested, I can supply the minimal formal definitions required (surfaces, domain, invariant structure) so you can proceed. Skills required are 2D Discrete geometry: Invariants: Modelling: Algebra, Calculus is not required. Please outline your experience Thank you, James Hourihan
Proje No: 40048433
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11 freelancer bu proje için ortalama £1.098 GBP teklif veriyor

Hello, As a member of Live Experts LLC, I have the professional experience and expertise to meaningfully contribute to your discrete geometric framework project. My knowledge of 2D Discrete Geometry, Invariants, Modelling, and Algebra aligns perfectly with your project's requirements. I have a deep understanding of the intricate web that exists between geometry and mathematics, allowing me to perform mathematical integrity checks at advanced levels. Moreover, my dexterity in using engineering and software development tools like Matlab, Mathematica, Python, Java, C/C++, C#, Arduino Raspberry Pi among others ensures that I am operating from a state-of-the-art advanced knowledge base. This ability will be crucial in examining your constrained geometric framework for internal consistency and the existence of valid configurations without contradiction. I assure you that our work at Live Experts is underpinned by unwavering dedication to quality. We pay meticulous attention to detail while ensuring all project-related concerns are met promptly and effectively. My commitment to delivering high-quality output aligned with my deep understanding of the project necessitates my place in this task. Allow me to provide the clarity you seek in determining the system's mathematical consistency and further refining your geometric framework for optimal functioning. Thanks!
£1.500 GBP 5 gün içinde
8,1
8,1

Hello, I am an experienced freelancer with over 1.5 years of active engagement on Freelancer.com. I hold a Ph.D. in Applied Mathematics and have strong expertise in mathematics, statistics, physics, and programming using Python and MATLAB. As a data analyst and academic expert, I can assist you with mathematical and physics-related problems, as well as provide high-quality solutions in MATLAB and Python coding.
£1.125 GBP 7 gün içinde
5,6
5,6

As a manufacturing and industrial engineer with a background in applied geometry, discrete modelling, and invariant-based system analysis, I can evaluate the internal mathematical consistency of your constrained geometric framework. I have experience working with 3D parametric domains, intersection behaviour of smooth surfaces, and discrete-state evolution rules governed by linked scalar parameters and invariants. My focus will be to assess whether the fixed/live surface configuration, the unique intersection requirement along a prescribed radial axis, and the single invariant constraint can coexist without contradiction, and whether valid admissible states exist across all update steps. I will also examine the feasibility of a discrete update rule that preserves both the radial constraint and the invariant, and determine under what conditions an extremal (“saturation”) radius is admissible. The problem is well-bounded and aligns closely with my prior work in geometric consistency checks and constrained parametric systems. I can proceed once you share the formal definitions.
£800 GBP 5 gün içinde
3,3
3,3

Hello, Mr James Hourihan! I have taught Mathematics including Discrete Math, Incedence Geometry(Finite Geometry), and Group Theory. I am interested in working on this project. Please provide the minimal formal definitions required (surfaces, domain, invariant structure). I have the enough expertise and maturity to get this task through. Thank you!
£1.125 GBP 7 gün içinde
3,2
3,2

Hi, I can evaluate the geometric framework for internal consistency, admissible configurations, and invariant-preserving discrete evolution, drawing on experience in constrained geometric systems and discrete-state invariants. To proceed, could you share the formal definitions of the surfaces, the invariant relation, and the radial-axis constraint? You can visit my Profile https://www.freelancer.com/u/HiraMahmood4072 Thank you
£750 GBP 2 gün içinde
0,8
0,8

Hello As an individual engineer with a strong background in applied mathematics and geometric modelling, this project aligns very well with my experience in building and analysing constrained systems, invariants, and discrete update rules. I am comfortable working with abstract but well-defined structures, verifying internal consistency, and checking the existence of valid configurations without relying on any physical interpretation. My work often involves discrete geometry, algebraic constraints, and state-evolution schemes, so assessing the logical compatibility of your surfaces, invariant, and radial intersection conditions fits naturally within my skill set. I would be glad to review your minimal formal definitions for the domain, surfaces, and invariant, then provide a clear, written assessment of mathematical self-consistency, the feasibility of an invariant-preserving update rule, and the admissibility of a saturation radius under your constraints. Thank you for considering my application; I would welcome the opportunity to collaborate on this focused and well-bounded problem. Best regards,
£1.500 GBP 7 gün içinde
0,0
0,0

I am a teacher, I am smart in academics in all subjects, especially in science, I often take part in national level competitions and win 1st place nationally, therefore I want to provide tutoring to friends who need or know how to win the Olympiad.
£1.125 GBP 7 gün içinde
0,0
0,0

I am confident I can complete your project with high accuracy and timely delivery. I have experience in data entry, typing, copy-paste tasks, converting files, and Excel work. I pay close attention to detail and ensure the final output is clean and error-free. I am ready to start immediately
£750 GBP 7 gün içinde
0,0
0,0

As an AI specialist and full-stack developer, my skills extend beyond coding; I am also proficient in discrete mathematics which is key for this project. I have worked on several projects involving complex geometric frameworks where mathematical precision was of utmost importance and fully understand how even the smallest change can impact the entire system. Through my background, I can help address the problems you've outlined: 1. Determining if the system is mathematically consistent. 2. Assessing if a discrete update rule can maintain invariance while preserving the radial constraint. 3. Establishing if an extremal radial point ('saturation radius') is feasible under your constraints. My ability to analyze mathematical models and computational systems will prove invaluable in confirming that your framework aligns with its predetermined constraints at every step of its evolution- ensuring precise intersection points and accurate invariance. My experience in maintaining translational consistency across shifting frameworks makes me confident in identifying any potential contradictions or deviations from your framework's key design principles.
£900 GBP 7 gün içinde
0,0
0,0

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