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    I have a number of handwritten notes that I need to be converted into a digital format. The material doesn't contain any specialized content, technical terms, or mathematical equations. It's all in English. Here are some specifics on the job: - Data Entry Skills: A keen eye for detail is imperative since all the data is in handwritten form. Strong typing and transcription skills are required. - Language Competency: You need to be fluent in English as all of the notes are written in the language. - Handwriting Interpretation: While the notes are in English, they are not all neatly written. Thus, anyone bidding on this project should have the ability to interpret less than perfect handwriting. Ideal candidates for this role are proficient in data entry, have solid Eng...

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    ...particularly for Physics, Chemistry, and Mathematics equations. The Online Test Platform for all India commutive examinations and eligibility examinations and practice tests for students from 6th class to 12th class aims to facilitate a seamless and secure online testing experience for aspirants. The platform covers a comprehensive question bank with Level 1 to Level 5, including features a robust back-end system for data entry, particularly for Physics, Chemistry, and Mathematics equations. And this system will be having following modules: Admin module User Interface Module Question Bank Management Module Data Entry Module User Management Module Testing Engine module Test Module Back-End Systems module Question Bank Contributor module Mobile / Web Applications ...

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    I am looking for a freelancer who can help me solve a specific problem involving linear equations and inequalities using MATLAB. I need the project to be completed as soon as possible. Skills and experience needed: - Proficiency in MATLAB and its mathematical functions - Strong understanding of linear equations and inequalities - Ability to analyze and solve mathematical problems efficiently The ideal freelancer for this project should be able to provide clear and concise solutions to the given problem, and be able to meet the deadline of completing the project as soon as possible.

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    ...as it involves advanced, postgraduate-level algebra. - Solving Advanced Equations: Your task includes working on various complex equations that demand an advanced level of algebra. Your proficiencies must lie in solving equations that reach the realms of postgraduate standard. - Creating Equations: You will convert complicated scenarios into mathematical equations. The ability to translate word problems into algebraic expressions at an advanced level is fundamental for this role. - Plotting Graphs: Apart from cracking the puzzles and formulating equations, you are also required to visualize mathematical situations. Your graphing skills should be competent enough to plot intricate graphs based on the derived equations. The ideal freelan...

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    I am in need of a developer who is proficient in Fortran, with a primary focus on scientific computing and numerical analysis, to code a transcendental equation. The equation that needs to be coded will be shared through a photo during the job posting. The nature of the job is straightfor...proficient in Fortran, with a primary focus on scientific computing and numerical analysis, to code a transcendental equation. The equation that needs to be coded will be shared through a photo during the job posting. The nature of the job is straightforward and does not require advanced statistical models or high-performance simulations. The ideal candidate should have experience in coding such equations and be able to plot the resultant graph. Skills and experience in graph plotting will be adv...

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    ...in creating realistic book covers. My project is specific to a doctoral thesis in mathematics, thus a background in academic or technical projects would be valuable. Key areas of focus should include: - Designing a realistic book cover that could aptly represent a doctoral thesis. - Aesthetically incorporating elements suggestive of the mathematics discipline. Even though I haven't specified equations, graphs, or mathematical symbols, a creative spin on these could be interesting. - Demonstrating a keen understanding of design trends and styles in academic literature, particularly in technical and mathematical fields. Ideal applicants may have a portfolio of previous designs showcasing their talent in realistic designs and a proven history of working on academic or technic...

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    ...your short proposal if your are interested with any experience of previous project. Just start with the basics, mass balance, charge balance, then define what reacts to make what. Those equations then spell out the equilibrium condition(s), usually as a series of simultaneous equations. From there, I will try those out, see how it fits the data, modify the model as you go. Compare the isotherm approach with the equilibrium constants approach, ultimately they should say kind of the same thing for weak binding, then diverge for strong binding. Later on, I will tackle ANSYS /Comsol once you have I equations working. Or I will use matlab or octave (octave is free matlab) to add in a diffusion term. I am also sharing the reference paper link, Deliverables: Python Mat...

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    I am looking fo...and interpret technical data - Proficiency in creating mathematical equations and schematics in MATLAB The case study should include: - Detailed analysis of the design and construction of electret and condenser microphones - Mathematical equations and schematics illustrating the technical aspects - Comparison of different models and designs, showcasing their strengths and weaknesses - Recommendations for practical applications and uses of these microphones -Graphical visualization in MATLAB The ideal freelancer for this project should have a strong background in electrical engineering, signal processing, and MATLAB programming. They should be able to provide a highly technical case study, incorporating mathematical equations and schematics to explai...

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    I am looking for a freelancer who can help me with solving an Initial Value Problem (IVP) using numerical methods in MATLAB. There is no specific method in mind for solving the ODE, so the freelancer has the flexibility to choose the most appropriate numerical method. There is also no ...no specific optimization requirement for the code. Skills and experience required: - Strong proficiency in MATLAB - In-depth knowledge of numerical methods for solving ODEs - Ability to implement and optimize code for solving IVPs using numerical methods - Familiarity with MATLAB's built-in ODE solvers and functions - Attention to detail and ability to understand and interpret mathematical equations If you have prior experience in solving IVPs using numerical methods in MATLAB, please bid o...

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    Two complete research papers on the respective topics "privacy in metaverse" and "Intrusion detection in metaverse". The two research papers must contain the following content: Suitable and accurate title Abstract Keywords introduction related work system model proposed work results and discussion conclusions references The paper draft should has a. atleast 20 mathematical equations as the IEEE transactions have b. Minimum 25 references c. Minimum 12 graphs in results and discussion section d. Minimum 5 tables in results and discussion section e. Atleast 1 neat proposed architecture diagram An example has been attached for reference . Again the price is negotiable.

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    Linear algebra course Finalizado left

    ...ease of communication. The course will cover extensive topics, including: Chapter 1: Systems of Linear Equations 1.1 Introduction to Systems of Linear Equations 1.2 Gaussian Elimination and Gauss-Jordan Eliminations Chapter 2: Matrices 2.1 Matrix Operations 2.2 Properties of Matrices 2.3 Matrix Inverses 2.4 Elementary Matrices Chapter 3: Determinants 3.1 Matrix Determinants 3.2 Determinants and Elementary Operations 3.3 Determinant Properties 3.4 Determinants' Practical Applications Chapter 4: Vector Spaces 4.1 Vectors in Rn 4.2 Vector Spaces 4.3 Subspaces within Vector Spaces 4.4 Spanning Sets and Linear Independence 4.5 Basis and Dimension 4.6 Matrix Rank and Systems of Linear Equations 4.7 Coordinates and Basis Transformations Chapter 5: Inner Product S...

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    I have a code for the attached paper, the z in the code is I think alph^r (equation 42 in the paper) How can I find: 1. Predict isobaric and Isochoric heat capacity vs. temperature and density 2. Predict entropy vs. temperature. 3. Predict Speed of sound 4. Predict the latent heat of vaporization vs. temperature. And compare it with Peng-Robinson

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    We have multiple RPi modules interconnected as a single global system which will need to be programmed as an integrated system. The system will need to support several mathematical equations, algorithms, PID controls & sequential logic. Several modules have already been developed by us. The complete system specs will be shared with short-listed candidates and will need to have a fixed price/delivery quoted afterwards. Currently we need to get list of prospective candidates who can convince us about their talent, availability & ability to take up & successfully complete the job. FAT will have to be done remotely & then technology transfer to us, so future minor changes etc. can be handled by us. All the source code and supporting docs will need to be submitted & a...

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    ...treatment of dataset factors - Clear and concise writing in an academic style. - Adherence to citation guidelines for academic pieces. - Number of citations should be 55 plus, 20 of which should be greatly detailed for literature review, the rest are scattered in the document as citation. - Flowchart diagrams in methodology and where it is needed. - Tables should also be added. - Formulas and equations should be added. - Strong analytical and interpretation skills to understand and translate complex correlation data into understandable points. - Number of pages should be 100 pages with bibliography and title page. The thesis will be revised 3 times if needed. Also, the document will be subjected for plagiarism check in iThenticate application. The work should be suitable for su...

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    Mathematics equations Finalizado left

    Project Title: Advanced Mathematics Equations - Step-by-step Solutions Overview: I am seeking a skilled mathematician to provide step-by-step solutions for a set of advanced/research level mathematics equations. The solutions should be delivered in a handwritten format. Requirements: Level of Mathematics: Advanced/Research - The equations involved in this project require a deep understanding of advanced mathematical concepts and techniques. Step-by-step Solutions: - The client requires detailed step-by-step solutions for all equations involved. - The solutions should clearly explain the logical reasoning and calculations involved in solving each equation. Delivery Format: - The client prefers handwritten solutions. - The solutions should be neatly written an...

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    ...in the paper and is required to show that the paper was implemented correctly. - The marine vehicle will be moored where changes in roll, pitch and yaw occur. - Implement in MATLAB an Unscented Kalman Filter as proposed in the research paper as well as any other equations defined in the paper. - Ensure that the code is commented such that each equation in the research paper is identified in the code. Provide references and comments in the code for equations that are not discussed in the research paper. - Ensure that the equations in the research paper are implemented correctly such that they provide reasonable results. - Ensure that the results are reasonable such that the biases and attitude converge toward and reach roughly the true value. - Plot the results i...

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    You need to type from the given image into a Word file that has a specific format. Images have questions, answers & solutions you need to type them in the given Word file (take a look at the sample file). These files are for an online test series for Electrical Engineering so there will be mathematical equations, circuit diagrams, graphs, etc. The Word file needs to be uploaded on an educational app so please follow the given format strictly. Each file contains 25 tables (as shown in the sample file/image). Take a look at the sample file/image & format. If you have any doubts or want more details on the project, we can discuss it over chat.

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    I am looking for a freelancer who can help me with implementing specific calculations or models using pycalphad. Requirements: - Experience with pycalphad and knowledge of the different syntax associated with it. - Ability ...freelancer who can help me with implementing specific calculations or models using pycalphad. Requirements: - Experience with pycalphad and knowledge of the different syntax associated with it. - Ability to work with detailed specifications provided by me - Troubleshooting and debugging skills to ensure the code is running smoothly. - Need to have knowledge about how to implement scientific equations into code. Timeline: - The project needs to be completed within 2 weeks. If you have the necessary skills and experience, please reach out to discuss furthe...

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    ...mathematical equations in Word-format documents. Ensure seamless integration between the backend (using wmf/emf format) and the frontend for better readability. Collaborate with administrators to enhance the upload process for question papers containing mathematical content. Requirements: Technical Proficiency: Strong knowledge of Edtech platforms, particularly MERN, PHP, and Python/Django. Expertise in frontend development to ensure a user-friendly experience. Mathematical Equations: Proficiency in managing mathematical equations in digital formats. Experience in addressing technical glitches related to the interpretation of mathematical equations. Key Challenge: The primary challenge we face is a technical glitch preventing the frontend from correctly i...

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    I am looking for a skilled mathematician who can assist me with a project involving trigonometric equations. I have a mathematics advent calendar with 21 total questions. I need the solutions explained step-by-step, and the difficulty level of the problems is intermediate. Skills and experience needed: - Strong knowledge of trigonometry and goniometry - Experience solving trigonometric equations - Ability to explain solutions step-by-step in a clear and concise manner -Example question attached

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    I need help with solving linear equations in MATLAB and applied linear algebra. Specifically, I am looking for assistance with the following tasks: - Solving linear equations - Matrix operations and transformations - Eigenvalues and eigenvectors I have specific methods in mind that I would like the freelancer to use for this project. The deadline for this project is within 12 hours. Ideal skills and experience for this job include proficiency in MATLAB and applied linear algebra, as well as knowledge of various methods and algorithms for solving linear equations.

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    I am seeking a skilled freelancer to assist me with my math research project. The project requires a thorough understanding of geometry and the ability to produce a 25-30 page paper following the IB format. The ideal candidate should have expertise in both research and analysis, as well as writing and formatting. Additionally, the paper should include accurate working, graphs, and equations. It is important to note that the use of Chat gpt or any AI should not be detected in the project. The completed project must be delivered within 1 week.

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    ...a large number of questions, but we are currently encountering difficulties with mathematical equations. The current situation involves storing mathematical equations in the backend in wmf/emf format, which is not readable by the frontend. Required skills and experience: - Strong knowledge of Edtech platforms and their technical aspects (MERN, PHP, Python/Django) - Expertise in frontend development - Proficiency in managing mathematical equations in digital formats - Experience in resolving technical glitches related to the interpretation of mathematical equations The primary challenge at the moment is a technical glitch preventing the frontend from correctly interpreting mathematical equations. This issue is hindering the smooth upload of question ...

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    ...a freelancer with expertise in fluid flow simulations using SolidWorks. The ideal candidate should have experience in conducting research simulations. Requirements: - Proficiency in fluid flow simulations using SolidWorks - Strong understanding of free surface simulations - Ability to conduct thorough research and analyze simulation results - Familiarity with relevant mathematical models and equations - Excellent problem-solving skills and attention to detail Skills and Experience: - SolidWorks - Fluid flow simulations - Research methodology and analysis The main goal of this project is to conduct research through a fluid flow simulation using SolidWorks. The freelancer will be responsible for setting up and running the simulation, analyzing the results, and providing insights...

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    You need to type from the given image into a Word file that has a specific format. Images have questions, answers & solutions you need to type them in the given Word file (take a look at the sample file). These files are for an online test series for Electrical Engineering so there will be mathematical equations, circuit diagrams, graphs, etc. The Word file needs to be uploaded on an educational app so please follow the given format strictly. Each file contains 25 tables (as shown in the sample file/image). Take a look at the sample file/image & format. If you have any doubts or want more details on the project, we can discuss it over chat.

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    Need An Entry Level Python Programmer With Knowledge in Math (Long Term) Need basic research done and Python functions written to solve math equations and physics equations. Python functions should solve various tasks, such as calculating a confidence interval, calculating cell potential in a voltaic cell, etc. Task involves researching particular subject area using ChatGPT and Google to guide research, and writing Python functions (aided by ChatGPT) to make calculations. Very simple task, just requires basic knowledge of Python and ability to use internet and ChatGPT. Each function may take between 5-25 minutes to write. INTERVIEW QUESTIONS (must provide response to be considered for job, you may use ChatGPT to guide your answer, as well as Wolfram Alpha and any onli...

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    Develop logical equations based on given specifications. Design gate-level schematics to meet all specifications. Utilize CMOS logic to create transistor-level schematics for all logic gates. Calculate W/L ratios for each MOSFET based on transient performance. Determine mid-point voltage, rise time, and fall time for each unique logic gate. Calculate capacitances considering parasitic capacitance values. Prepare a floorplan for layout, considering gate locations, signal distribution, and pad locations.

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    Develop logical equations based on given specifications. Design gate-level schematics to meet all specifications. Utilize CMOS logic to create transistor-level schematics for all logic gates. Calculate W/L ratios for each MOSFET based on transient performance. Determine mid-point voltage, rise time, and fall time for each unique logic gate. Calculate capacitances considering parasitic capacitance values. Prepare a floorplan for layout, considering gate locations, signal distribution, and pad locations.

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    Project Description: Mathematical Text and Format I am looking for a highly skilled individual with advanced mathematical proficiency to assist me in writing mathematical text in an academic format. The project wi...Advanced mathematical proficiency - Strong knowledge of algebra, geometry, and calculus - Experience writing mathematical text in an academic format - Attention to detail and ability to accurately convey complex mathematical concepts in writing The text should be written in an academic style, ensuring clarity and precision in the explanations. MathJax will be used to format the mathematical equations and symbols, so familiarity with this tool is required. If you have the necessary skills and experience in advanced mathematics and academic writing, please apply for thi...

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    Good day guys! I have a Mathematics Activity for Grade 8 which is on the topic of "Solving Linear Equations using the Distributive Property". I have all of the questions and the answers. The activity is of a maze so the students should solve questions one at a time to reach the Finish Line. The PPT must be done like a Jigsaw done one at a time to do nice transitions and animations for each slide of the jigsaw. My rate is $4 for this PPT as it is a very easy task for the right candidate. Please don't bid more as this is my final budget.

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    Good day guys. I need a PowerPoint done for a Grade 8 on Distributive Property on Linear Equations and various other topics. I will be needing a sample done before hiring the right candidate. My rate is $5 for this PPT lesson. I will explain it more in private chat. If you are not OK with the price or sample, PLEASE DO NOT BID also please type "OK WITH SAMPLE" so I know that you read it thoroughly.

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    If you have the needed HW it will be a plus. Remote access of HW can be provided but not preferred as it takes much longer development time. We have multiple RPi modules interconnected as a single global system which will need to be programmed as an integrated system. The system will need to support several mathematical equations, algorithms, PID controls & sequential logic. Several modules have already been developed by us. The complete system specs will be shared with short-listed candidates and will need to have a fixed price/delivery quoted afterwards. Currently we need to get list of prospective candidates who can convince us about their talent, availability & ability to take up & successfully complete the job. FAT will have to be done remotely & then tech trans...

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    Convert 50 Jamboards into Google Docs, as per the example that will be given. It will simply be a matter of extracting the text boxes and images and putting them into the documents into a similar format and layout, sample provided. Some hand drawn text/arrows to be converted. A few equations drawn/images to be converted to google doc equation format where practical.

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    I am in need of a typist who can accurately type mathematical explanations and solutions. The content that needs to be typed is at an intermediate level, specifically college math. Skills and experience required: - Proficiency in typing mathematical explanations and solutions - Strong understanding of college-level math - Attention to detail to ensure accuracy in typing equations and formulas - Ability to follow a specific format and style guide provided by the client

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    ...pulse signal changes over time. 10. A star is often described a "moving" on an H-R diagram; why is this description used and what is actually happening with the star? 11. How does the equivalence principle lead us to suspect that spacetime might be curved? 12. If general relativity offers the best description of what happens in the presence of gravity, why do physicists still make use of Newton's equations in describing gravitational forces on Earth (when building a bridge, for example)? 13. If a black hole itself emits no radiation, what evidence do astronomers and physicists have that the theory of black holes is correct? 14. What is a gravitational wave and why was it so hard to detect? 15. Describe the evidence indicating that a black hole may be at the center ...

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    I want to make a drowsiness detection program that works by recognizing mouth and eye positioning (open or close) and head Tilt position. I already have workings for eyes and mouth, I am looking for someone to add head-tilt t...will send you, I will require graphs and tables similar to the one in the result section with head-tilt added to the equation. 2- The complete system should show an Accuracy higher or equal to 95%. 3- I would require the description of head-tilt, how it's working, which algorithm we used etc as I would need that. 4- Make the system rotation invariant. 5- I would need your help with mathematical equations of how the complete system works after adding the head tilt to the equation. NOTE: Coding files and trained models for eyes and mouth are already atta...

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    List compilation Finalizado left

    ...Description: List Compilation for Research I am looking for a freelancer to compile a list of physics equations and calculations used commonly in undergraduate physics introductory course including mechanics electricity and magnetism particle physics relativity and quantum mechanics. Should include short description few sentences and how to use equation with which units. Specific Criteria: - The list should consist of equations related to a specific topic, which I will specify. - The equations should be relevant and accurate for research purposes. Skills and Experience: - Strong research skills - Knowledge of data compilation and organization - Familiarity with mathematical equations and their relevance in research - Attention to detail and accuracy in ...

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    LaTeX conversion -- 2 Finalizado left

    I am looking for a freelancer who can convert 180 pages of Word documents to LaTeX. Requirements: - Proficiency in LaTeX - Experience in converting Word documents to ...180 pages of Word documents to LaTeX. Requirements: - Proficiency in LaTeX - Experience in converting Word documents to LaTeX - Attention to detail to ensure accurate conversion Ideal Skills: - Knowledge of LaTeX packages - Ability to choose appropriate packages for the conversion The freelancer will be responsible for converting the Word documents to LaTeX, ensuring that the formatting, equations, and special characters are accurately represented. The converted LaTeX documents should be ready to compile and produce high-quality PDF files. Please provide examples of previous LaTeX conversion projects you have ...

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    LaTeX conversion Finalizado left

    I am looking for a freelancer who can convert 180 pages of Word documents to LaTeX. Requirements: - Proficiency in LaTeX - Experience in converting Word documents to ...180 pages of Word documents to LaTeX. Requirements: - Proficiency in LaTeX - Experience in converting Word documents to LaTeX - Attention to detail to ensure accurate conversion Ideal Skills: - Knowledge of LaTeX packages - Ability to choose appropriate packages for the conversion The freelancer will be responsible for converting the Word documents to LaTeX, ensuring that the formatting, equations, and special characters are accurately represented. The converted LaTeX documents should be ready to compile and produce high-quality PDF files. Please provide examples of previous LaTeX conversion projects you have ...

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    ...transformer based models for image inpainting. I have written some explanation but I need analysis of the code that I implemented with related mathematics formulas and equations and explanations. I have the python code for the GAN transformer based model for inpainting. The chapter should be more than 20 pages long and follow the IEEE format and style guide. I would like the writer to include specific analysis and case studies related to image inpainting in the chapter. Ideal skills and experience for this job include: - Proficiency in image inpainting algorithms and techniques - Knowledge of relevant formulas and equations used in image inpainting - Ability to conduct thorough analysis and provide insightful conclusions - Familiarity with IEEE format and style guide fo...

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    ...inpainting to write a chapter for my research project. I have written some explanation but I need analysis of the code that I implemented with related mathematics formulas and equations and explanations. I have the python code for the GAN transformer based model for inpainting. The chapter should be more than 20 pages long and follow the IEEE format and style guide. I would like the writer to include specific analysis and case studies related to image inpainting in the chapter. Ideal skills and experience for this job include: - Proficiency in image inpainting algorithms and techniques - Knowledge of relevant formulas and equations used in image inpainting - Ability to conduct thorough analysis and provide insightful conclusions - Familiarity with IEEE format and style gui...

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    I am looking for a C++ programmer who can assist me with a project that involves solving puzzle in c++. Requirements: - Strong knowledge and experience in C++ programming - Familiarity with algorithms and data structures for sorting - Proficiency in mathematical calculations and equations - Experience with string manipulation and manipulation functions If you have the necessary skills and can work within the given timeline, please reach out to discuss the project further.

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    Looking for an expert in MATLAB and available at present Need to construct an analytical and numerical model using static equilibrium equations and finite element analysis based on Ansys or Abaqus packages and hand calculation supported by MATLAB code.

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    Looking for an expert in MATLAB and available at present Need to construct an analytical and numerical model using static equilibrium equations and finite element analysis based on Ansys or Abaqus packages and hand calculation supported by MATLAB code.

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    Task 1: a) Given vectors v=(4, -5, 12, 7, -4, 2) and w=(0, 3, -2, 12, 22, 0). Create matrix M from these vectors: 4 0 -5 3 12 -2 7 12 -4 22 2 0 b) Remove the second column from the matrix M and replace all elements on the main diagonal that are less than 5 with 3. c) Solve the system of equations Mx = b, where b consists of the first three elements of v. Round the solution vector to three decimal places and specify its average value. d) Concatenate the following two vectors so that they correctly display the names of the scientists: X = (“Lise”, “Marie”, “Rosalind”, “Ann”), Y = (“Franklin”, “Tsukamoto”, “Curie”, “Meitner”). e) Indicate all names and surnames from the previous task that...

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    I am looking for a freelancer who can help me with analyzing theoretical equations for a dynamic neck robot. The project involves explaining the basis for choosing the attached equations and analyzing them for forward and inverse kinematics. Specific requirements: - Provide equations for analysis (please specify) - Utilize preferred methods or tools for analysis (freelancer's expertise) - Complete the project within 1 week timeframe Ideal skills and experience: - Strong background in robotics and kinematics - Proficiency in analyzing equations and providing explanations - Experience with dynamic neck robots and their kinematic analysis If you have the expertise in robotics and kinematics, and can deliver high-quality analysis within the specified timefr...

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    ...admin can upload the bulk questions. Issue in uploading mathematical equations. Current status the written mathematical equation is store in backend in wmf/emf format that is not readable by frontend. Skills and experience needed: - Strong knowledge of Edtech platforms and their technical aspects (MERN, PHP, Python/Django) - Expertise in frontend development - Proficiency in handling mathematical equations in digital formats - Experience in resolving technical glitches related to reading mathematical equations The current issue I am facing is a technical glitch where the frontend is unable to read the mathematical equations. This is causing a hindrance in uploading bulk question papers that contain mathematical equations. If you have the skills...

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    Trophy icon Calculus Problems Finalizado left

    Project Description: Calculus Problems I am looking for an experienced freelancer to create a set of intermediate level calculus problems. Whoever can finish them first, is awarded the prize. No work shown is needed, but this must be done in the next four hours. Eulers Method and Slope Fields Seperable Equations - The ideal freelancer should have a strong background in calculus and mathematics. - They should have experience in creating problems at an intermediate level. - Attention to detail and accuracy are crucial for this project. Deliverables: - The freelancer should provide the completed calculus problems in a clear and organized format. - The problems should be accompanied by detailed step-by-step solutions. If you have the necessary skills and experience in calculus ...

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