Feasible Region in a sentence
(1) The feasible region can be non-convex in some cases.
(2) The feasible region is a subset of the solution space.
(3) We need to find the optimal solution within the feasible region.
(4) The feasible region is determined by the set of feasible solutions.
(5) The feasible region is determined by the feasible set of solutions.
(6) The feasible region may change depending on the constraints imposed.
(7) The feasible region is an important concept in optimization problems.
(8) The feasible region can be empty if the constraints are too restrictive.
(9) The feasible region is the set of all feasible solutions to the problem.
(10) The feasible region is an essential concept in mathematical programming.
Feasible Region sentence
(11) The feasible region can be visualized as a geometric shape in some cases.
(12) The feasible region can be represented graphically on a coordinate plane.
(13) The feasible region is typically bounded by a set of linear inequalities.
(14) The feasible region can be determined by solving a system of inequalities.
(15) The feasible region can be represented as a polyhedron in higher dimensions.
(16) The feasible region is the space where the problem's feasible solutions lie.
(17) The feasible region is the area where the problem's constraints are satisfied.
(18) The feasible region is the set of all points that satisfy the given constraints.
(19) The feasible region is the region where the objective function can be optimized.
(20) The feasible region of this optimization problem is bounded by certain constraints.
Feasible Region make sentence
(21) The feasible region is determined by the intersection of the constraint boundaries.
(22) The feasible region is the set of all points that satisfy the problem's constraints.
(23) The feasible region is the set of all feasible solutions that meet the given criteria.
(24) The feasible region is the region where the problem's objective function is optimized.
(25) The feasible region is the set of all possible solutions that satisfy the constraints.
(26) The feasible region is the region where all the constraints are satisfied simultaneously.
(27) The feasible region of the linear programming model is the set of all feasible solutions.
(28) The feasible region of the problem is limited by the constraints imposed on the variables.
(29) The feasible region in this linear programming model represents all the possible solutions.
(30) The feasible region of the linear programming problem is the set of all feasible solutions.
Sentence of feasible region
(31) The feasible region of the linear programming problem is bounded by the set of inequalities.
(32) The feasible region is the subset of the solution space that meets the problem's requirements.
(33) The feasible region of the problem is determined by the intersection of the given constraints.
(34) The feasible region of the problem is the set of all points that satisfy the given conditions.
(35) The equality constraint restricts the feasible region of the equation to a specific set of values.
(36) The feasible region is the set of all points that satisfy the problem's constraints and objectives.
(37) The extremal principle states that the optimal solution lies at the boundary of the feasible region.
(38) The feasible region of the problem is the area in the graph where all the constraints are satisfied.
(39) The feasible region of the optimization problem is the set of all points that satisfy the constraints.
(40) The feasible region of the problem is the set of all valid solutions that meet the specified criteria.
Feasible Region meaningful sentence
(41) The feasible region is the set of all points that satisfy both the equality and inequality constraints.
(42) The feasible region of the mathematical model is the area where the objective function can be optimized.
(43) The feasible region of the problem is the set of all possible solutions that meet the given constraints.
(44) The feasible region of the graph represents all the possible solutions that satisfy the given constraints.
(45) The feasible region of the problem is determined by the range of values that satisfy the given conditions.
(46) The feasible region of the optimization problem is the area where the objective function can be optimized.
(47) The feasible region of the optimization problem is the set of all points that satisfy the given constraints.
(48) The feasible region of the optimization problem is the set of all valid solutions that satisfy the constraints.
(49) The feasible region for this optimization problem lies within the constraints defined by the given inequalities.
(50) The feasible region of the system of inequalities is the region in the graph where all the inequalities are true.
Feasible Region sentence examples
(51) The feasible region of the optimization problem is the set of all valid solutions that meet the specified criteria.
(52) The feasible region of the linear programming model is the set of all feasible solutions that meet the constraints.
(53) The feasible region of the mathematical model is the range of values where the objective function can be optimized.
(54) The feasible region of the linear programming problem is the set of all feasible solutions that meet the constraints.
(55) The feasible region of the problem is the region in the graph where all the constraints are simultaneously satisfied.
(56) The feasible region of the linear programming problem is the set of all valid solutions that satisfy the constraints.
(57) The feasible region of the optimization problem is the set of all possible solutions that meet the given constraints.
(58) The feasible region of the system of equations is the set of all points that satisfy all the equations simultaneously.
(59) The feasible region of the mathematical model is the region where the objective function can be maximized or minimized.
(60) The feasible region of the problem is the set of all possible combinations of values that satisfy the given constraints.
(61) The feasible region of the system of inequalities is the region where all the inequalities are simultaneously satisfied.
(62) The feasible region of the problem is the set of all possible combinations of values that satisfy the given inequalities.
Feasible Region meaning
Feasible Region: Tips for Using the Phrase in a Sentence The term "feasible region" is commonly used in mathematics and optimization problems to refer to the set of all possible solutions that satisfy a given set of constraints. It represents the region in which the objective function can be optimized while adhering to the specified limitations. To effectively incorporate this phrase into your writing, consider the following tips:
1. Understand the Context: Before using the phrase "feasible region" in a sentence, it is crucial to have a clear understanding of its meaning and the context in which it is being used. Familiarize yourself with the concept of optimization problems and the constraints involved to ensure accurate usage.
2. Use it in Mathematical Discussions: The phrase "feasible region" is most commonly employed in mathematical discussions, particularly in the field of optimization. When discussing mathematical models, linear programming, or any other optimization technique, you can use this phrase to describe the set of feasible solutions. Example: "In linear programming, the feasible region represents the set of all possible combinations of decision variables that satisfy the given constraints."
3. Clarify the Constraints: When using the term "feasible region," it is essential to provide clarity regarding the constraints that define the region. Specify the limitations or conditions that must be met for a solution to be considered feasible. Example: "The feasible region for this production problem is defined by the constraints of available resources, time limitations, and quality standards."
4. Emphasize Optimization: Since the feasible region is closely associated with optimization, it is beneficial to highlight the objective of optimizing within the given constraints. This helps convey the purpose and significance of the feasible region in the context of problem-solving. Example: "The goal is to find the optimal solution within the feasible region, maximizing profits while adhering to production capacity and cost constraints."
5. Connect with Real-World Applications: To make your writing more relatable and engaging, consider connecting the concept of the feasible region to real-world applications. This can help readers grasp the practical implications and relevance of the phrase. Example: "In urban planning, determining the feasible region for constructing a new park involves considering factors such as available land, budget constraints, and environmental regulations."
6. Provide Visual Representation: When appropriate, consider including visual aids such as graphs or diagrams to illustrate the concept of the feasible region. This can enhance understanding and make your writing more accessible to readers. Example: "The feasible region can be visualized as the shaded area in the graph, where the objective function intersects with the constraints."
7. Use Synonyms or Related Terms: To avoid repetition and add variety to your writing, you can incorporate synonyms or related terms for "feasible region." This demonstrates a strong command of vocabulary and helps maintain reader interest. Example: "The viable solution space," "the acceptable region," or "the attainable set" can be used interchangeably with the term "feasible region."
In conclusion, the phrase "feasible region" is commonly used in mathematical discussions, particularly in optimization problems. By understanding the context, clarifying constraints, emphasizing optimization, connecting with real-world applications, and using appropriate synonyms, you can effectively incorporate this phrase into your writing. Remember to provide clear explanations and, if possible, visual representations to enhance comprehension.
The word usage examples above have been gathered from various sources to reflect current and historical usage of the word Feasible Region. They do not represent the opinions of TranslateEN.com.