Global extrema occur at the highest or lowest points of a function over its entire domain. For a function to have a global maximum, the value of the function at that point must be greater than or equal to the value of the function at all other points in its domain. Similarly, for a function to have a global minimum, the value of the function at that point must be less than or equal to the value of the function at all other points in its domain. **

Temperature balance on Earth is maintained through a combination of factors. The Earth receives energy from the sun in the form of sunlight, which warms the planet. This heat is then radiated back into space in the form of infrared radiation. The atmosphere plays a crucial role in trapping some of this heat, preventing it from escaping into space and keeping the planet warm enough to support life. This balance between incoming solar radiation and outgoing infrared radiation helps regulate the temperature on Earth. **

Temperature equalization on Earth occurs through the process of heat transfer. This includes the movement of heat from warmer regions to cooler regions through conduction, convection, and radiation. The atmosphere and oceans play a crucial role in distributing heat around the planet, helping to balance temperatures between different latitudes and regions. Additionally, factors such as the tilt of the Earth's axis and the presence of greenhouse gases in the atmosphere also contribute to temperature equalization by regulating the amount of heat absorbed and retained by the planet. **

The global financial crisis of 2008 occurred due to a combination of factors. One of the main reasons was the housing market bubble in the United States, fueled by subprime mortgage lending and the securitization of these risky loans. Additionally, financial institutions took on excessive risk and leverage, leading to a lack of liquidity and solvency issues when the housing market collapsed. The interconnectedness of the global financial system also played a role, as the crisis quickly spread to other countries and markets. **

Carbon occurs on Earth in various forms, including graphite, diamond, coal, and organic compounds. Graphite and diamond are pure forms of carbon, while coal is a carbon-rich sedimentary rock. Organic compounds, such as carbohydrates, proteins, fats, and nucleic acids, contain carbon bonded with other elements like hydrogen, oxygen, nitrogen, and sulfur. Carbon is a versatile element that plays a crucial role in the chemistry of life and the Earth's geology. **

Alkaline earth metals occur in nature primarily as minerals in the Earth's crust. They are commonly found in compounds such as carbonates, sulfates, and silicates. Some of the most abundant sources of alkaline earth metals include limestone, gypsum, and dolomite. These minerals are often mined and processed to extract the alkaline earth metals for various industrial and commercial applications. **

There are an infinite number of global maxima that occur twice each. This is because for any global maximum, we can create another one by adding a constant value to the function. This constant value will shift the function upwards without changing the shape of the function, resulting in another global maximum at the same height. Therefore, there is no limit to the number of global maxima that occur twice each. **

The First World War occurred due to a complex combination of factors, including militarism, alliances, imperialism, and nationalism. Tensions had been building up between European powers for years, with competition for colonies and resources leading to a fragile balance of power. The assassination of Archduke Franz Ferdinand of Austria-Hungary in 1914 acted as a catalyst, triggering a chain of events that ultimately led to the outbreak of war. Additionally, the intricate system of alliances among European countries meant that a conflict involving one nation could quickly escalate into a full-scale war involving multiple countries. **