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Problem Solving
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Terms in this set (14)
What are the components of OODA Loop?
- observe
- orient
- decide
- act
Outline the eight steps of the practical problem solving method.
1) clarify the problem
2) break down the problem & identify performance gaps
3) set improvement targets
4) determine root causes
5) develop countermeasures
6) see countermeasures through
7) confirm results and process
8) standardize successful processes
What are components of observation?
- clarify
What are components of orientation?
...
What are components of decision making?
...
What are components of acting?
...
What are the components of APTEC?
- analyze
- plan
- train
- execute
- critique
What competent of APTEC is unique?
training
other models don't have a designated step to train
What happens in the analyzation phase?
- Identify & understand mission/problem
- gather & use data
- generate solutions
- test and evaluate solutions
- select the best solution
What happens in the planning phase?
- translate solution
- catch and correct oversights
- resolve specifics
What happens in the training phase?
...
What happens in the execution phase?
...
What happens in the critiquing phase?
- establish what happened
- compare to what was supposed to happen
- determine what was right or wrong
- determine how the task should be done differently
What an important component that is not apart of APTEC?
there is no dedicated stage/step to cement the solution
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ADVANCED MATH
Criticize the following definitions in light of the eight rules for lexical definitions: “Elusory” means elusive.
ADVANCED MATH
Let $\left\{A_{\alpha}\right\}$ be a collection of subsets of X; let $X=\bigcup_{\alpha} A_{\alpha}. \text { Let } f: X \rightarrow Y$, suppose that $f | \boldsymbol{A}_{\boldsymbol{\alpha}}$ is continuous for each $\alpha$. (a) Show that if the collection $\left\{A_{\alpha}\right\}$ is finite and each set $A_{\alpha}$ is closed, then f is continuous. (b) Find an example where the collection $\left\{A_{\alpha}\right\}$ is countable and each $A_{\alpha}$ is closed, but f is not continuous. (c) An indexed family of sets $\left\{A_{\alpha}\right\}$ is said to be locally finite if each point x of X has a neighborhood that intersects $A_{\alpha}$ for only finitely many values of $\alpha$. Show that if the family $\left\{A_{\alpha}\right\}$ is locally finite and each $A_{\alpha}$ is closed, then f is continuous.
ADVANCED MATH
For any vector x, show that the vector x/∥ x ∥ has unit length.
ADVANCED MATH
In the proof of the Tietze theorem, how essential was the clever decision in Step 1 to divide the interval $\{-r, r]$ into three equal pieces? Suppose instead that one divides this interval into the three intervals $I_{1}=[-r,-a r], \quad I_{2}=[-a r, a r], \quad I_{3}=[a r, r]$ for some a with 0 < a < 1. For what values of a other than a=1/3 (if any) does the proof go through?
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