Then the series is: 1+12+14+18+⋯⋯=∑i=1∞12n=11-12=2∵sumofinfiniteGP=a1-r,a=firstterm,r=commonratio Suggest Corrections 0 Similar questions Q. Lucas is learning the number series problem in his math class. X, 4, XV, 16, XX, 64, XXV, 256, ___ , ___ Which two numb...
Patterns and PracticesHelps developers and software architects find solutions to common application development needs. Resources often transcend the low-level details of writing code and delve into choosing products and services that enable seemingly infinite scalable architectures. ...
The AI industry is selling that smiley face hard. Consider howTheDaily Showrecently skewered the hype, as expressed by industry leaders. Silicon Valley’s VC in chief, Marc Andreessen: “This has the potential to make life much better … I think it’s honestly a layup.” Altman: “I hat...
It is now tempting to try to set up an approximately scale-invariant blowup solution. It seems that the first step in this is to construct a “soliton” type localized steady state solution, that is a solution , to the equation that decays in the variable; one can then hope to do a...
The reader is invited to come up with counterexamples that demonstrate some of these implications. The hardest type of counterexamples to find are the ones that show that Equation9 does not imply Equation8: a solution (in Lean) can be found here. I placed proofs in Lean of all the above ...
Entity Resolution is designed to bring all your data together into a single view, so it's crucial that your software doesn’t hit limits as you bring in more data. Look for a solution that's proven and in production at large Tier 1 organizations. Also, ensure it can scale linearly with...
For applications, the main characteristic of fractional derivatives is the nonlocality either in space (action at a distance) or time (memory). The state of the process determines the behavior of processes with memory at a given time and by the states at a finite or infinite previous time int...
Optimization and search.Every industry relies in one way or another on optimization. Where are robots best placed on a factory floor? What’s the shortest route for a company’s delivery trucks? There are almost infinite questions that need to be answered to optimize for efficiency and value ...
PROPERTY 2: There is always a rational number between any two rational numbers. Moreover, there is infinite number of rational numbers between any two rational numbers. Let’s think a little about the first sentence. If we take two rational numbers of different signs, there will always be ze...
GPU theoretical TFLOP ceiling is hard to achieve given all scheduling/networking overhead and limited on-device memory. Practically, we believe over 30+ TFLOPs per V100 is a usable case. If we assume infinite memory (which could never be true), then I agree with the math here. 👍 1 ...