12
It is a hard subject and is very complex. Some student need a right example or analogy to associate the numbers or concept to, to understand the concept of the problems also they have to redo problem alot until it makes sense
Costly : Operations Research (OR) is very costly. This is because OR makes mathematical models for taking decisions and solving problems. The company has to make various models for solving different problems. All this increments the cost.Not Realistic : OR experts make very complex models for solving problems. These models may not be realistic. Hence, they may not be useful for real-life situations.Complex : OR is very complex concept. It is very difficult for an average manager to understand it. Therefore, most managers do not use OR techniques.
Differential equations, Linear Algebra, Abstract Algebra, Real and Complex Analysis, Advanced Calculus, and lots of other fun stuff.
The abstract form of genius can be understood as a unique combination of creativity, insight, and originality that transcends conventional boundaries. It embodies the capacity to think differently, solve complex problems, and generate novel ideas or solutions. Genius often manifests in various domains, including art, science, and philosophy, reflecting an intrinsic ability to connect disparate concepts and envision possibilities beyond the ordinary. Ultimately, it represents the pinnacle of human cognitive potential and innovation.
if you mean both dimensions are complex numbers, then you use foil. Example (1+i)(1+2i)= 1 + 3i - 2 (since i2 = -1) -1+3i that's a rectangle but you should understand if your in a class with complex #
According to Piget abstract thinking begins at or around age 15. Some people are sooner while others never reach abstract thinking stages.
When children are capable of abstract thinking, they have reached the formal operational stage of cognitive development according to Piaget. This stage typically begins around age 11 and continues through adulthood. At this stage, individuals can think logically about abstract concepts, engage in hypothetical reasoning, and understand complex ideas.
Abstract ThoughtWhile children tend to think very concretely and specifically in earlier stages, the ability to think about abstract concepts emerges during the formal operational stage. Instead of relying solely on previous experiences, children begin to consider possible outcomes and consequences of actions. This type of thinking is important in long-term planning.
Using relatable examples, analogies, visual aids, and real-life scenarios can help people understand abstract concepts by making them more tangible and easier to grasp. Breaking down complex ideas into simpler components and encouraging discussion and exploration can also enhance understanding. Practice and repetition can help reinforce the learning of abstract concepts.
In reading, "fathom" means to understand or comprehend the meaning or depth of something. It denotes the ability to grasp or comprehend complex or abstract ideas.
The cerebrum makes complex learning and abstract thinking possible and is the largest part of the brain.
Communication with younger children (0-5 years) tends to be more basic, using simple words and concepts, and may involve a lot of nonverbal communication. With older children (6-12 years), communication becomes more complex, as they are able to understand and discuss more abstract concepts. Teenagers (13-18 years) often prefer more independence in communication, discussing more complex ideas and issues.
Abstract concepts are usually formed through the process of categorization and generalization. By grouping together similar ideas or experiences, our brains can create abstract concepts that represent a broader concept or idea. This helps us make sense of the world and understand complex relationships between different elements.
We can overestimate a child's language abilities by using complex vocabulary or syntax beyond their comprehension level, assuming they understand abstract concepts or subtle nuances, or by speaking too quickly without allowing time for processing and comprehension.
The ability to analyze information and solve problems on a complex, thought-based level is sometimes referred to as abstract reasoning. Abstract reasoning tasks involve skills such as:Forming theories about the nature of objects, ideas, processes, and problem solving;Understanding subjects on a complex level through analysis and evaluation;Ability to apply knowledge in problem-solving using theory, metaphor, or complex analogy; andUnderstanding relationships between verbal and non-verbal ideas.
Mathematicians study to explore and understand the patterns, structures, and relationships that exist in the world, and to solve complex problems using logic and reasoning.
Some methods of presenting abstract subjects are through visualizations, analogies, and storytelling. Visualizations can help to make complex ideas more tangible and easier to understand. Analogies can provide a familiar context for the audience to relate to, making the abstract concept more relatable. Storytelling can create a narrative that engages the audience and helps convey the abstract subject in a more engaging way.