#mathworks
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leibnizstan · 13 days ago
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MATLAB ahead? I sure hope it does...
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jobkash · 5 months ago
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Technical Sales - Engineering Development Group Internship (34927-JPER)
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jamesharringtonuk · 2 years ago
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ejeffers1239 · 9 months ago
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I absolutely refuse to continue any application that wants me to record myself or do a coding problem before I interact with a human.
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vasoppressive · 2 years ago
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Understanding that my want for expensive stationery comes from studytubers, snobby redditors, and instagram bullet journalists has not made me buy less kokuyo campus notebooks and muji gel pens 
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yokowan · 7 months ago
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MathWorks is announcing the "gameification" of Matlab! Collect functions in a roguelike deck builder, compete with friends to write the fastest code, and complete daily quests to unlock bonus features!
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zeeposting · 1 year ago
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aart dddump ttime
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lightblub on my mathwork
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jyeah that's all, @ryuatewater look there's a lot of globe for you
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felixcloud6288 · 9 months ago
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Okay. I really want to talk about that second math problem Homura did. It's the only one where I was able to understand what the actual problem she's trying to solve was (Her mathwork in q1 and q3 were correct for what I saw, but I couldn't figure out what she was ultimately trying to do.)
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The problem: We're given three integers x, a, and b where a/14 has a remainder of 6, b/14 has a remainder of 1, and x^2 - 2ax + b = 0. Find the remainder of x/14.
Step 1: We define x, a, and b in relation to 14. We'll use q, s, and t to represent the quotients of x, a, and b respectively and r to represent the unknown remainder of x/14.
x = 14q + r a = 14s + 6 b = 14t + 1
Step 2: We rewrite x^2 - 2ax + b = 0 using the above equalities.
(14q + r)^2 - 2(14s + 6)(14q+r) + (14t + 1) = 0
Step 3: rewrite each term using FOIL (Normally I'd say simplify but there's nothing simple about what this is going to look like. Also, I'm going to keep 14 as unedited as possible for reasons you'll see later).
(14q)^2 + 2*14qr + r^2 - 2*14^2qs - 2*14rs - 12*14q - 12r +14t + 1 = 0
Step 4: Our end goal is to figure out what happened when x is divided by 14. So we're going to collect all terms divisible by 14 together and factor out 14.
14(14q^2 + 2qr - 28qs - 2rs - 12q + t) + r^2 - 12r + 1 = 0
Step 5: This was something Homura did but didn't explicitly show. Consider this: -14r = -12r - 2r. So we could add 2r - 2r into the left side of the equation without impacting it. This let's us throw -14r into the pile of terms being multiplied by 14 and leave us with a 2r we can use FOIL on with the remaining terms
14(14q^2 + 2qr - 28qs - 2rs - 12q + t) + r^2 - 12r + 1 + 2r - 2r= 0 14(14q^2 + 2qr - 28qs - 2rs - 12q + t) + r^2 - 14r + 1 + 2r = 0 14(14q^2 + 2qr - 28qs - 2rs - 12q + t - r) + (r+1)^2 = 0
Step 6: This is the part where Homura went from equations to logic. To simplify things, let's let y = 14q^2 + 2qr - 28qs - 2rs - 12q + t - r. This means:
14y + (r+1)^2 = 0 (r+1)^2 = -14y
Now I have to go over a little bit of number theory. Prime factorization is the process of breaking a positive integer down into a series of prime numbers. With the above equation, we can say (r+1)^2 is divisible by 14 since it is equal to 14 times some unknown integer -y. This also means (r+1)^2 can be divided by 2 and 7 since 2*7=14.
Now consider: Let's say we have two integers m and n. There is a unique set of prime numbers that can be multiplied to get m and a unique set that can be multiplied to get n. If we multiply m by n, the prime factors of mn is going to be the prime factors of m and n. For example, 12 = 2*2*3 and 15 = 3*5 so 12*15 = 2*2*3*3*5 or 2^2 * 3^2 * 5.
Now let's say we multiplied m by m. In that case, we're combining the same prime factors together. So m^2 would double the exponent values of each prime factor. As a corollary, if m's square root is an integer, then m's prime factors must all be exponentiated by an even number.
Now let's tie this back to the problem.
Currently, we know (r+1)^2 = -14y for some unknown integer y. Our end goal is to figure out r, the remainder when x is divided by 14. First, we need to try getting rid of the square on the left side. Going back to what I mentioned earlier though, since r+1 is an integer, that means it has a certain prime factorization. We can say that prime factorization includes at least a 2 and 7 because of the 14 on the right. And since r+1 is being squared, that means (r+1)^2 has the same prime factors as r+1 but the exponential values are double. In other words, y has to also be divisible by 14 in order for this equation to be true.
Now also recall that r is the remainder of x/14. This would mean r at most is 13. So r+1 is at most 14. If we take all this information into account, this means (r+1)^2 can at most be 14^2 and in fact would have to be 14^2 because it is the only number that would work with all the previous information (Meaning that y = -14). Therefore:
(r+1)^2 = 14^2 r+1 = 14 r = 13
back
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nathanielbuildsatesseract · 9 months ago
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Hmm. Looks like my "leave of absence" from grad school wasn't enough to keep them from shutting down my school email. I wasn't using that for much so it didn't bother me at the time, but my MathWorks account was through there so now I can't use MATLAB anymore. Since I'm not broke anymore maybe I'll just buy a license of my own rather than tangle with the school right now. The only real question then would be which license to get, since there's five different options and I'm not sure which fits best. Even though I need this to finish my thesis, I'm leaning towards "home" simply because I don't see myself starting a business just yet and will definitely still want to mess with models on my own after finishing up.
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w1tchcr4ftt · 1 year ago
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Im going insane im losing my damn mind ive had 4 hours of mathwork per day every single day this week on top of field day physical burnout and college course work (IM NOT IN COLLEGE OR EVEN CLOSE) on top of my parents telling me to just take easier courses cus thats better for me im going to scream I need a break where everything is just fine I hate this goddamn week so much im so tired i can barely move my whole body is in pain i hate this so much and i have art block so i cant even draw to fix this this sucks
In short, im not going away im just gonna be a tad bit less active so i can heal from artblock and rest and whatnot. Im super tired and stressed rn but i have spring break coming up so yea! Sorry for the vent i just needed to rant ig
Normal stuff can resume now ig :}
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robin-writes-and-such · 1 year ago
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allassignmentexperts · 29 days ago
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wganme · 1 month ago
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servotechinc78 · 1 month ago
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Simulink System Modeling: A Comprehensive Guide to Model-Based Design
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In the realm of modern engineering, the complexity of systems has grown exponentially, necessitating advanced tools and methodologies to design, analyze, and implement these systems efficiently. One such powerful approach is Model-Based Design (MBD), prominently facilitated by tools like MATLAB and Simulink. This article delves into the intricacies of Simulink system modeling, exploring its significance, applications, and the advantages it offers in the engineering landscape.
Understanding Model-Based Design
Model-Based Design is a systematic approach that utilizes mathematical models as the foundation for designing and verifying complex systems. By creating executable specifications, engineers can simulate and validate system behavior early in the development process, leading to more efficient workflows and reduced time-to-market. This methodology is particularly beneficial in handling the multifaceted nature of modern systems, where traditional design approaches may fall short.
The Role of Simulink in System Modeling
Simulink, developed by MathWorks, is a graphical environment for modeling, simulating, and analyzing multidomain dynamic systems. It extends MATLAB's capabilities by providing a platform where engineers can construct block diagrams to represent system components and their interactions. This visual representation simplifies the understanding of complex systems and facilitates seamless integration across various domains.
Key Features of Simulink
Graphical User Interface (GUI): Simulink's intuitive GUI allows users to drag and drop blocks, connecting them to form a comprehensive system model. This approach enhances accessibility, enabling engineers to focus on design logic rather than syntax.
Multidomain Modeling: Simulink supports the integration of mechanical, electrical, hydraulic, and other physical domains within a single model. This capability is crucial for accurately representing systems that encompass multiple engineering disciplines.
Simulation Capabilities: With Simulink, engineers can perform time-domain simulations to observe system behavior under various conditions. This feature aids in identifying potential issues and optimizing performance before physical prototypes are developed.
Code Generation: Simulink facilitates automatic code generation for embedded systems, streamlining the transition from model to implementation. This functionality reduces manual coding errors and accelerates the development process.
Extensive Libraries: Simulink offers a vast array of pre-built blocks and toolboxes, catering to different applications such as control systems, signal processing, and communications. These resources expedite model development and ensure consistency across projects.
Applications of Simulink System Modeling
Simulink's versatility makes it applicable across various industries and engineering domains:
Automotive Industry: Simulink is extensively used for designing and testing control systems in vehicles, including engine management, transmission control, and advanced driver-assistance systems (ADAS). By simulating these systems, manufacturers can enhance safety and performance while reducing development costs.
Aerospace Sector: In aerospace engineering, Simulink aids in modeling flight dynamics, control systems, and avionics. The ability to simulate different flight scenarios ensures that systems meet stringent safety and performance standards.
Industrial Automation: Simulink facilitates the development of control algorithms for industrial machinery and processes. By modeling these systems, engineers can optimize efficiency, reduce downtime, and improve overall productivity.
Telecommunications: Simulink's capabilities extend to modeling and simulating communication systems, including signal processing and network protocols. This application is vital for designing robust and efficient communication infrastructures.
Medical Devices: In the medical field, Simulink assists in developing control systems for medical devices, ensuring they operate safely and effectively. Simulation allows for rigorous testing under various conditions, which is crucial for patient safety.
Advantages of Using Simulink for System Modeling
Early Detection of Issues: By simulating system behavior early in the design process, engineers can identify and address potential problems before they escalate, reducing costly revisions later.
Cost Efficiency: Simulink reduces the need for multiple physical prototypes by enabling virtual testing and validation, leading to significant cost savings in development.
Improved Collaboration: The visual nature of Simulink models facilitates better communication among multidisciplinary teams, ensuring that all stakeholders have a clear understanding of the system design.
Scalability: Simulink models can be scaled from simple components to complex systems, providing flexibility to adapt to projects of varying sizes and complexities.
Continuous Integration: Simulink supports integration with other tools and platforms, allowing for continuous testing and development, which is essential in agile development environments.
Implementing Model-Based Design with MATLAB and Simulink
To effectively leverage Simulink for system modeling, a structured approach to Model-Based Design is essential:
Define System Requirements: Clearly outline the system's functional and performance requirements to guide the modeling process.
Develop Mathematical Models: Use MATLAB to create mathematical representations of system components, which will serve as the foundation for Simulink models.
Construct Simulink Models: Utilize Simulink's block diagram environment to build graphical models of the system, incorporating the mathematical representations developed earlier.
Simulate and Analyze: Perform simulations to observe system behavior, analyze results, and validate that the model meets the defined requirements.
Iterate and Refine: Based on simulation outcomes, refine the model to address any identified issues or to optimize performance.
Generate Code: Once the model is validated, use Simulink's code generation capabilities to produce code for implementation in embedded systems.
Test and Deploy: Conduct hardware-in-the-loop (HIL) testing to ensure the system operates correctly in real-world conditions before full-scale deployment.
Challenges and Considerations
While Simulink offers numerous benefits, certain challenges may arise:
Learning Curve: New users may require time to become proficient with Simulink's features and functionalities.
Model Complexity: As system complexity increases, models can become intricate, necessitating careful
Conclusion
Simulink system modeling by Servotechinc revolutionizes engineering design by enabling rapid prototyping, simulation, and validation of complex systems. Its graphical approach, extensive toolboxes, and seamless integration with MATLAB streamline development across industries. By adopting Model-Based Design with Simulink, engineers can enhance efficiency, reduce costs, and ensure robust system performance, making it a cornerstone of modern engineering solutions.
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sunaleisocial · 2 months ago
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Designing better ways to deliver drugs
New Post has been published on https://sunalei.org/news/designing-better-ways-to-deliver-drugs/
Designing better ways to deliver drugs
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When Louis DeRidder was 12 years old, he had a medical emergency that nearly cost him his life. The terrifying experience gave him a close-up look at medical care and made him eager to learn more.
“You can’t always pinpoint exactly what gets you interested in something, but that was a transformative moment,” says DeRidder.
In high school, he grabbed the chance to participate in a medicine-focused program, spending about half of his days during his senior year in high school learning about medical science and shadowing doctors.
DeRidder was hooked. He became fascinated by the technologies that make treatments possible and was particularly interested in how drugs are delivered to the brain, a curiosity that sparked a lifelong passion.
“Here I was, a 17-year-old in high school, and a decade later, that problem still fascinates me,” he says. “That’s what eventually got me into the drug delivery field.”
DeRidder’s interests led him to transfer half-way through his undergraduate studies to Johns Hopkins University, where he performed research he had proposed in a Goldwater Scholarship proposal. The research focused on the development of a nanoparticle-drug conjugate to deliver a drug to brain cells in order to transform them from a pro-inflammatory to an anti-inflammatory phenotype. Such a technology could be valuable in the treatment of neurodegenerative diseases, including Alzheimer’s and Parkinson’s.
In 2019, DeRidder entered the joint Harvard-MIT Health Sciences and Technology program, where he has embarked on a somewhat different type of drug delivery project — developing a device that measures the concentration of a chemotherapy drug in the blood while it is being administered and adjusts the infusion rate so the concentration is optimal for the patient. The system is known as CLAUDIA, or Closed-Loop AUtomated Drug Infusion RegulAtor, and can allow for the personalization of drug dosing for a variety of different drugs.
The project stemmed from discussions with his faculty advisors — Robert Langer, the David H. Koch Institute Professor, and Giovanni Traverso, the Karl Van Tassel Career Development Professor and a gastroenterologist at Brigham and Women’s Hospital. They explained to him that chemotherapy dosing is based on a formula developed in 1916 that estimates a patient’s body surface area. The formula doesn’t consider important influences such as differences in body composition and metabolism, or circadian fluctuations that can affect how a drug interacts with a patient.
“Once my advisors presented the reality of how chemotherapies are dosed,” DeRidder says, “I thought, ‘This is insane. How is this the clinical reality?’”
He and his advisors agreed this was a great project for his PhD.
“After they gave me the problem statement, we began to brainstorm ways that we could develop a medical device to improve the lives of patients” DeRidder says, adding, “I love starting with a blank piece of paper and then brainstorming to work out the best solution.”
Almost from the start, DeRidder’s research process involved MATLAB and Simulink, developed by the mathematical computer software company MathWorks.
“MathWorks and Simulink are key to what we do,” DeRidder says. “They enable us to model the drug pharmacokinetics — how the body distributes and metabolizes the drug. We also model the components of our system with their software. That was especially critical for us in the very early days, because it let us know whether it was even possible to control the concentration of the drug. And since then, we’ve continuously improved the control algorithm, using these simulations. You simulate hundreds of different experiments before performing any experiments in the lab.”
With his innovative use of the MATLAB and Simulink tools, DeRidder was awarded MathWorks fellowships both last year and this year. He has also received a National Science Foundation Graduate Research Fellowship.
“The fellowships have been critical to our development of the CLAUDIA drug-delivery system,” DeRidder says, adding that he has “had the pleasure of working with a great team of students and researchers in the lab.”
He says he would like to move CLAUDIA toward clinical use, where he thinks it could have significant impact. “Whatever I can do to help push it toward the clinic, including potentially helping to start a company to help commercialize the system, I’m definitely interested in doing it.”
In addition to developing CLAUDIA, DeRidder is working on developing new nanoparticles to deliver therapeutic nucleic acids. The project involves synthesizing new nucleic acid molecules, as well as developing the new polymeric and lipid nanoparticles to deliver the nucleic acids to targeted tissue and cells.
DeRidder says he likes working on technologies at different scales, from medical devices to molecules — all with the potential to improve the practice of medicine.
Meanwhile, he finds time in his busy schedule to do community service. For the past three years, he has spent time helping the homeless on Boston streets.
“It’s easy to lose track of the concrete, simple ways that we can serve our communities when we’re doing research,” DeRidder says, “which is why I have often sought out ways to serve people I come across every day, whether it is a student I mentor in lab, serving the homeless, or helping out the stranger you meet in the store who is having a bad day.”
Ultimately, DeRidder says, he’ll head back to work that also recalls his early exposure to the medical field in high school, where he interacted with a lot of people with different types of dementia and other neurological diseases at a local nursing home.
“My long-term plan includes working on developing devices and molecular therapies to treat neurological diseases, in addition to continuing to work on cancer,” he says. “Really, I’d say that early experience had a big impact on me.”
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digitalmore · 3 months ago
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