#ArtofProblemSolving

[analyticsshiksha]

Power BI is like a special tool from Microsoft. It helps you see data in cool ways, share what you find, and decide things better.

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[journeyloading912]

Snorkel Lift Tb 60 Repair Manual

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[realtalk-princeton]

What can I do to improve my mathematical maturity/problem solving skills (if it's even possible)? I find that some people come in with really strong problem solving skills already. I didn't do math competitions in high school but I'd like to develop problem solving skills in undergrad.

Response from TNTina:

i’ll answer briefly but i’d like to also put this out there for the more mathematically inclined readers to answer. i very very casually did competition math through middle and high school (re: maybe got like a 2 on the aime, so take this with a sizeable grain of salt), but there is this book series that i’m pretty sure everyone i did competition math with had at least read, it’s literally called the art of problem solving: https://artofproblemsolving.com/store/list/aops-curriculum. these books are quite expensive new, so might not recommend straight up buying them unless used or secondhand, but they also have a free youtube channel which i always found quite helpful: https://www.youtube.com/user/ArtofProblemSolving 

they are highly tailored to high school competition math, so if you’re not into that pls ignore this. but tbh i probably could not do like 5% of the content they cover now if i tried, and i do think their stuff can help develop general problem solving skills. they are exceptionally good - from what i remember, they filled a niche in terms of competition math books that no other books could and they always had a clear and insightful way of explaining relatively convoluted curriculum. the guy who developed it is extraordinarily qualified - was on national math team, developed a math competition himself, pretty sure he was also a princeton alum

otherwise maybe i’d suggest asking some of the people who run PUMaC haha 

[mathematicianadda]

What is the best way to partition the $4$-subsets of $\{1,2,3,\dots,n\}$? https://ift.tt/eA8V8J

Consider the set $X = \{1,2,3,\dots,n\}$. Define the collection of all $4$-subsets of $X$ by $$\mathcal A=\{Y\subset X: Y\text{ contains exactly $4$ elements}.\}$$

I want to partition $\mathcal A$ into groups $A_1,A_2,\dots, A_m\subset \mathcal A$ (each of them is a collection of $4$-subsets of $X$) such that $\bigcup_{i=1}^m A_i=\mathcal A$ and such that the intersection of any two distinct $4$-subsets in each $A_k$ has cardinality at most $1$, i.e. such that for all $i\in\{1,\dots,m\}$ and $Y_1, Y_2\in A_i$, we have $$Y_1\neq Y_2 \implies \lvert Y_1\cap Y_2\rvert \le 1.$$

My question: What can be said about the smallest $m$ (depending on $n$) such that such a partition exists?

My thoughts: I was expecting that each $A_i$ can contain "roughly" $\frac n4$ elements, so we would have $$m(n)=\Theta\left(\frac{\binom n4}{\frac n4}\right)=\Theta(n^3).$$ In particular, we would have $m(n)\le c n^3$ for some constant $c\in\mathbb R$.

However, I am neither sure if this is correct, nor how to formalize this.

from Hot Weekly Questions - Mathematics Stack Exchange ArtOfProblemSolving from Blogger https://ift.tt/2YuETKn

[analyticsshiksha]

Tableau, a visual analytics platform, revolutionizes problem-solving with data by transforming how we analyze and interpret information.

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[analyticsshiksha]

SAS is data analytics software for manipulating, organizing, and analyzing data, offering statistical analysis capabilities for diverse sources.

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[analyticsshiksha]

Statistics in data science analyzes, interprets, and models data to uncover patterns, make predictions, and aid decision-making.

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[analyticsshiksha]

R in data science is a programming language used for statistical analysis, data visualization, and machine learning tasks.

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[analyticsshiksha]

Google Sheets: a cloud-based spreadsheet tool by Google, allowing collaborative editing, data analysis, and visualization. Streamlines productivity and organization.

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[analyticsshiksha]

SQL is a programming language used for managing and manipulating relational databases, crucial for storing and retrieving data efficiently.

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[analyticsshiksha]

Excel is a powerful spreadsheet software by Microsoft, used for data organization, analysis, and visualization in various fields.

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[analyticsshiksha]

Mastering Data Analytics: Explore the leading tools professionals rely on to unlock insights. From versatile platforms to specialized software, discover the top choices for effective data analysis.

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[analyticsshiksha]

Unlock career opportunities with these essential data analytics skills! Learn what employers are looking for and position yourself for success.

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[analyticsshiksha]

Exploring the Dynamic Landscape of Data Analyst Roles From Data Scientists to Business Analysts, uncover the diverse skill sets driving innovation and shaping the future of data-driven industries.

𝐇𝐞𝐫𝐞 𝐚𝐫𝐞 𝐭𝐡𝐞 𝐝𝐢𝐟𝐟𝐞𝐫𝐞𝐧𝐭 𝐫𝐨𝐥𝐞𝐬 𝐨𝐟 𝐚 𝐃𝐚𝐭𝐚 𝐀𝐧𝐚𝐥𝐲𝐬𝐭 𝐝𝐞𝐟𝐢𝐧𝐞𝐝 𝐢𝐧 𝐩𝐨𝐢𝐧𝐭𝐬:

* 𝐑𝐢𝐬𝐤 𝐚𝐧𝐚𝐥𝐲𝐬𝐭

* 𝐃𝐚𝐭𝐚 𝐚𝐧𝐚𝐥𝐲𝐬𝐭

* 𝐅𝐢𝐧𝐚𝐧𝐜𝐢𝐚𝐥 𝐚𝐧𝐚𝐥𝐲𝐬𝐭

* 𝐒𝐐𝐋 𝐝𝐞𝐯𝐞𝐥𝐨𝐩𝐞𝐫

* 𝐁𝐮𝐬𝐢𝐧𝐞𝐬𝐬 𝐚𝐧𝐚𝐥𝐲𝐬𝐭

* 𝐁𝐥 𝐝𝐞𝐯𝐞𝐥𝐨𝐩𝐞𝐫

* 𝐎𝐩𝐞𝐫𝐚𝐭𝐢𝐨𝐧 𝐚𝐧𝐚𝐥𝐲𝐬𝐭

* 𝐏𝐫𝐨𝐝𝐮𝐜𝐭 𝐚𝐧𝐚𝐥𝐲𝐬𝐭

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[analyticsshiksha]

Decoding Data Analytics: Unveiling the magic behind transforming raw data into meaningful patterns and trends. Explore the world of data-driven decision-making

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[analyticsshiksha]

In order to become proficient in the field of data, it is crucial to comprehend the differences between Data Science, Data Analytics, and Data Engineering. With this knowledge, you will be better equipped to make informed decisions and take advantage of the opportunities that each field offers.

This mini-series will guide you through the process. Stay tuned!

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