Mathematical Analysis

Much of what is presented on this website is backed up by mathematical analysis. I’m providing that analysis for those who are interested. Those who aren’t comfortable with lots of equations may not find this material accessible.

• Mathematical information:
  • Reference
    • Quantities and Symbols
    • Averages and Correlations
    • Sums and Correlations
  • Basic planetary temperature analysis
    • Analysis: Global Average Longwave Radiation Emissions
    • Analysis: Incoming and Stored Thermal Energy
    • Analysis: Planetary Temperature – a Rigorous Formula
    • Analysis: Small Changes in Climate Variables
    • Analysis: Planetary Temperature – Parameterized by Greenhouse Effect Temperature Difference
    • Analysis: Planetary Temperature – Parameterized by Greenhouse Effect Flux Difference
  • Nuances related to temperature-variation emissions boost
    • Analysis: Emissions boost factor from a temperature variation
    • Analysis: Sequential-averaging components of the emissions boost factor
  • Support for subsequent work
    • Analysis: Propagation of Thermal Radiation
    • Analysis: Checking Raval and Ramanathan
  • Carbon cycle
    • Analysis: Impact of Sea-Surface Temperature Change on Atmospheric CO2 Concentration