Death. Danger. Destruction. These are some words that may come into mind when thinking about the topic of war and the military. What doesn’t usually come to mind is the word “math”. Unknown to many, math is involved in many aspects of the military. It has contributed to the conquering of enemies and the advancement of systems, technology, and war strategies in the military and Army.
One example of how math has been used in war occurred during World War II. During World War II, the Allies reached a hard conclusion: the Germans’ tanks were more superior to their own. In order to hinder the devastating effects of the superiority of the German tanks, the Allied forces had to figure out how many tanks the Germans were producing. At first, the Allies
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The Allied Economic Warfare Division in London studied captured German tanks and evaluated the serial numbers on the tanks. Statisticians were able to come up with a pattern to determine the tank production. With the information from the pattern, the Allies were able to put together a mathematical model to figure out the rate of German tank production. They were able to estimate that between June 1940 and September 1942, the Germans produced 255 tanks per month. This was a fraction of what the Allies had originally thought. This serial number method was definitely the way to go. After the war, internal German information showed that the production rate of the German tanks was 256 tanks per month, one tank off from the Allies’ …show more content…
This area of math has a great impact on the army and their needs. The long term goals of the Army’s mathematical research program is to help the Army advance in areas such as materials, systems, testing, evaluation, acquisition, training, and logistics. Math is a major factor when it comes to modeling systems, evaluating and regulating complex developments, and designing and improving systems in the Army. Army mathematical research includes applied analysis, computational mathematics, probability and statistics, systems and controls, discrete mathematics, and intelligent systems. Advances in these areas of math will help the Army develop a well-equipped strategic force that will be able to reach victory in conflicts. In order to reach this goal, there has to be constant interaction between several sections of the military including researchers, Army development personnel, and Army field soldiers. This collaboration will ensure that Army systems are built quickly and correctly the first
You will address Total Army Analysis, the process that takes us from the Army of today to the Army of the future.
Military leaders make decisions and solve problems every day. Some need a decision quickly while others can take time. The US Army has several decision-making methods to assist leaders. The Army Problem Solving Model (Process) (PSM) is a systematic approach to identifying the best possible solution to an issue or problem and a deliberate method of decision-making (FM 6-0, 2009). Leaders use it to solve a problem when time is not critical and they can put some thought into different solutions. The solution must be objective and based on facts in order for the decision to be relevant and practical. The
Army Officers uses the theories and concepts that supports the generation and analysis of the possible solutions.
Despite the enduring nature of ill-structured problems throughout history, the US military consistently focuses on well and medium-structured problems. The US military 's focus on well and medium-structured problems is a point of friction because there are several differences between well/medium-structured problems and ill-structured problems. The most important difference is that ill-structured problems lack proportionality for inputs, replication over time, additively of its parts, and demonstrability of cause and effect. Because there are a vast number of interactive and interdependent elements, ill-structured problems garner a great deal of uncertainty. As a result,
In the Army, there is a process that is very useful for finding a solution to many different problems. This process is called, “The Army problem solving process”, which is a seven-step process to come up with a solution to a problem. The first step in this process is to identify the problem. Once the problem has been identified, the next step is to gather information. It would be best to identify the pros and cons of the situation. The next step is to develop criteria. This is the perfect time to consider a possible solution, which brings us to the next step, generate a possible solution. This time, possible solutions are taken into consideration and comparing each of them. This is called analyzing and comparing the solution. Finally, in the last step, a decision is made and implemented. Unfortunately, there are some potential impediments that may interfere with the Army problem solving process. One perfect example would be, “The Tyranny of Choice” which is when there are so many choices that may interfere with the decision making process. The Army problem solving
Leaders must guide the order and new situations. Manpower is minimized by cutbacks and deployments. Technology is the new era. The technology is mixed with innovative ways to use in war.
While the United States Army is dedicated to promoting peace, stability and security throughout the world, there are challenges that are necessary to address. Russia, North Korea, China, Iran, the rising of non state actors in the Middle East, and future strategic campaigns all present issues that face the Army. Coupled with budget sequestration, these challenges are amplified.
The National Defense University’s, Lessons Encountered: Learning from the Long War, provides a critical analysis from a strategic perspective on the wars in Iraq in Afghanistan. The study concluded that, “Neither national-level leaders nor field commanders fully understood the operational environment.” Indeed, Secretary Robert Gates stated, “our prospects in both countries were grimmer than perceived; our initial objectives were unrealistic… [and] our knowledge and our intelligence were woefully inadequate. We entered both countries oblivious to how little we knew.” Worse, the study identified that after fifteen years of war senior leaders remained unable to identify what or who the enemy is. Recognizing this deficiency as well as the trends in the operating environment, the United States Army and Marine Corps began a multi-year effort in 2005 to develop methods for commanders and staffs to understand complex problems and visualize solutions to solving them. The result was the Army Design Methodology (ADM), which prepares the military for future wars in a complex environment by bridging art and science in an iterative process that facilitates learning, anticipation, and adaptation. The discussion begins with a brief over view of the operating environment before turning to ADM’s utility in preparing for future wars and addressing two of its criticisms.
Apart from the Marine Corps, the new generation of United States Army officers has been increasingly attracted by mechanistic and technological solutions to the multifaceted problems emanating from war. According to several senior officers, computer technology advances and evolving communication systems will permit the United States military to identify and destroy everything within the broad range of the battlefield. In some cases, the advances have
The math focuses more on the figuring out angles triangles it has a lot of Pre Cal in it. Dealing with the Unit Circle, and has some physics in it. Finding the mass, volume, solving for potential energy and kinetic energy. Just about in every event there is some type of math problem. The math also helps with the Engineering Process when deciding how much or how long something needs to be Engineering and Math comes together. An example that math is used a lot in one of the events is Chemistry the math part that I have seen frequently asked questions is balancing chemical equations which isn’t very hard but sometimes they equations can get very
CPT Nobles was the lead planner representing one of 48 concepts and capabilities examined during the Army Warfighting Assessment (AWA) 17.1 at Ft. Bliss, TX. Ben synchronized the efforts of a 15 man team from four different organizations across all Army components. He took 10 analytical observations from the tactical level exercise and developed recommendations including potential solutions to improve warfighting capability at the tactical and operational level echelons.
From the beginning of time war has been a factor of history. It was not until the application of artillery was the world introduced to what would become known as “The King of Battle”. Artillery is without a doubt the most casualty producing weapons on the battlefield. Able to reach enemies miles away in any direction, artillery has been a pivotal planning factor in war since its inception. World War II was no different, on the early morning of June 6th, 1944 Operation Overlord would pit the US Army Rangers against the king of battle.
The Army is a profession because it requires a collaboration of highly training Soldiers who possess specialized skills that combine to operate in complex situations in more complex environments. General Martin Dempsey stated that “The Profession of Arms requires expert knowledge, and that expertise is manifested as unique skills in the individual professional and by Army units.” For the purpose of this paper the operational definition of the term profession is: a type of job that requires special education training, or skill. In order to meet and maintain the demands of this definition, The Army has established the Army Development Model which consists of institutions, operational training, and self-development to create highly skilled service members.
As Petty describes in [14], semi-automated forces (SAF) systems are computer software systems to generate and control autonomous entities (such as tanks, soldiers, or aircraft) in a simulation using a combination of behavior generation algorithms and human operator commands. The SAF entities exist in a battlefield that is a simulated subset of the real world, so the physical events and phenomena on the battlefield must be modeled. SAF-controlled entities should obey the laws of physics. The accuracy of the SAF physics models is important to the utility of the simulation. Exactly how accurate those models must be, depends on how the system will be used. It is not uncommon when the real time performance of the simulation is more important than high accuracy, to have high fidelity models replaced with lower fidelity models based on look-up tables.
During the summer that followed the end of third year, I was selected as a trainee in one of the best labs in the country – The Advanced Systems Laboratory (ASL) at the Defence Research and Development Labs, Hyderabad. This was the programme that had changed my mindset for the better and gave the required direction. Apart from witnessing at a yard’s length the manufacture and fabrication of parts that made the Agni missile, I learnt, what was then, a very surprising thing to me- the right computational methods and simulation meant everything for the success of this nationwide defense project. This is where I grew to finally understand that mere fascination is not enough. Rather than fascinate me, I must say that my time as a trainee there had humbled me. Computational methods, for the lack of perfect analytical solutions, were the key to designing any engineering product, for which safety and cost effectiveness are critically important. I