Start building on Google Cloud with $300 in free credits. No commitment, no credit card required until you're ready to scale.
Launch your next project with $300 in free Google Cloud credits—no strings attached. Test, build, and deploy without risk. Use your credits across the entire Google Cloud platform to find what works best for your needs. After your credits are used, continue with always-free tier services. Only pay when you're ready to scale. Sign up in minutes and start exploring.
Start Free Trial
Custom VMs From 1 to 96 vCPUs With 99.95% Uptime
General-purpose, compute-optimized, or GPU/TPU-accelerated. Built to your exact specs.
Live migration and automatic failover keep workloads online through maintenance. One free e2-micro VM every month.
Excel function for multi-criteria selection problems
...At the same time, our model can incorporate some user control by ranking of relative importance of the criteria. [...] decision makers only rank the relative importance of criteria, rather than specifying the degree of relativity. [...] [our model] does not require users with any optimization background."
Worldlines visualizes special relativity, as particles near lightspeed trace paths in a 3D slice of 4D Minkowski spacetime. Scenes illustrate time dilation, the twin paradox, length contraction, and Bell's spaceship paradox.