Wolfram Mathematica is a proprietary software and is not available for free download legally. However, there is a free version called Wolfram Engine that can be downloaded from the Wolfram website. This version allows users to run Mathematica code but does not include the full Mathematica interface or functionality. To access the full version of Wolfram Mathematica, a license must be purchased from Wolfram Research. **

There are several free alternatives to Mathematica, Matlab, Maple, etc. Some popular options include Octave, which is an open-source alternative to Matlab; Maxima, which is a free computer algebra system similar to Maple; and SageMath, which is a free open-source mathematics software system that can perform many of the functions of Mathematica and Maple. These alternatives provide similar functionalities to the paid software but are available for free to users. **

It can be worth it for a private individual to have a subscription to Mathematica if they frequently use the software for complex mathematical computations, data analysis, or visualization. Mathematica offers a wide range of features and capabilities that can be valuable for individuals working in fields such as engineering, physics, finance, and computer science. However, for individuals who only have occasional or basic mathematical needs, the cost of a subscription may not be justified. It ultimately depends on the individual's specific use case and how frequently they would utilize the advanced features of Mathematica. **

The popularity of cycling or skiing can vary depending on the location and time of year. In general, cycling tends to be more popular in urban areas and during the warmer months, while skiing is more popular in mountainous regions and during the winter. However, it's difficult to determine which activity is followed more overall without specific data on participation rates in different regions and seasons. **

You can create a list of numbers in Mathematica whose digit sum is greater than or equal to 5 using the following code: ```mathematica Select[Range[100], Total[IntegerDigits[#]] >= 5 &] ``` This code uses the `Range` function to generate a list of numbers from 1 to 100, and then uses the `Select` function to filter out the numbers whose digit sum is less than 5. The `Total` function is used to calculate the digit sum of each number, and the `IntegerDigits` function is used to convert each number into a list of its digits. **

The excitement level of ice hockey versus soccer is subjective and can vary depending on personal preferences. Ice hockey is known for its fast-paced, physical nature with constant action and scoring opportunities. On the other hand, soccer is a more strategic game with longer periods of build-up play and intense moments during goal-scoring opportunities. Both sports have passionate fan bases and offer unique thrills, making it difficult to definitively say which is more exciting. **

It is highly unlikely that soccer will replace American football, basketball, baseball, and ice hockey as the most popular sports in the USA. These sports have deep-rooted cultural and historical significance in American society, and they have large and dedicated fan bases. Additionally, American football, basketball, baseball, and ice hockey have well-established professional leagues and infrastructure in the USA, which would make it difficult for soccer to overtake them in popularity. While soccer has been growing in popularity in the USA, it is more likely to continue to coexist alongside these other sports rather than replace them. **

Ice hockey is often perceived as more brutal than soccer due to the physical nature of the sport, which includes body checking and fighting. However, both sports have their own unique physical demands and risks of injury. While ice hockey may have more violent collisions, soccer players also face the risk of serious injuries such as concussions and ACL tears. Ultimately, the level of brutality in each sport can vary depending on the intensity of the competition and the actions of the players involved. **