Examples of boundary line in the following topics:
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- The straight line shown is called a boundary line.
- This is called the boundary line.
- If the inequality is $<$ or $>$, draw the boundary line dotted.
- First, we need to graph the boundary line.
- This gives the boundary line below:
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- Systems of nonlinear inequalities can be solved by graphing boundary lines.
- Every inequality has a boundary line, which is the equation produced by changing the inequality relation to an equals sign.
- The boundary line is drawn as a dashed line (if $<$ or $>$ is used) or a solid line (if $\leq$ or $\geq$ is used).
- One side of the boundary will have points that satisfy the inequality, and the other side will have points that falsify it.
- Graphing both inequalities reveals one region of overlap: the area where the parabola dips below the line.
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- The major features of a phase diagram are phase boundaries and the triple point.
- Phase boundaries, or lines of equilibrium, are boundaries that indicate the conditions under which two phases of matter can coexist at equilibrium.
- Along the blue phase boundary, water exists as both a vapor and a liquid.
- In this phase diagram, which is typical of most substances, the solid lines represent the phase boundaries.
- The dotted green line is meant to replace the solid green line in the corresponding phase diagram of water.
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- The proclamation created a boundary line (often called the proclamation line) between the British colonies on the Atlantic coast and American Indian lands west of the Appalachian Mountains.
- The proclamation line was not intended to be a permanent boundary between white and indigenous lands but rather a temporary boundary which could be extended further west in an orderly, "lawful" (according to the British) manner.
- Almost immediately, many British colonists and land speculators objected to the proclamation boundary, since there were already many settlements beyond the line and many existing land claims yet to be settled.
- Prominent American colonists joined with land speculators in Britain to lobby the government to move the line further west.
- As a result, the boundary line was adjusted in a series of treaties with American Indians.
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- Pinckney's Treaty between Spain and the United States defined the boundaries of the Spanish colonies of West and East Florida.
- Primarily, it defined the boundaries between the United States and the Spanish colonies and guaranteed the United States navigation rights on the Mississippi River.
- The boundary of Florida had been in dispute since the British had expanded the territory of the Florida colonies while it was in their possession.
- The Spanish were not driven by a pressing desire to reopen trade routes to American merchants or to delineate a boundary line in the Florida territory.
- With the signing of the treaty in 1795, the border between the United States and the Spanish colonies of East and West Florida became what is now the line through the present-day states of Georgia and Florida, respectively, and the territory extended from the northern boundary of the Florida panhandle to the northern boundary of that portion of Louisiana East of the Mississippi.
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- Stokes' theorem relates the integral of the curl of a vector field over a surface to the line integral of the field around the boundary.
- Stokes' theorem says that the integral of a differential form $\omega$ over the boundary of some orientable manifold $\Omega$ is equal to the integral of its exterior derivative $d\omega$ over the whole of $\Omega$, i.e.:
- Given a vector field, the theorem relates the integral of the curl of the vector field over some surface to the line integral of the vector field around the boundary of the surface.
- An illustration of the Kelvin–Stokes theorem, with surface $\Sigma$, its boundary $\partial$, and the "normal" vector $\mathbf{n}$.
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- Volumes of complicated shapes can be calculated using integral calculus if a formula exists for the shape's boundary.
- Volume is the quantity of three-dimensional space enclosed by some closed boundary—for example, the space that a substance or shape occupies or contains.
- The volumes of more complicated shapes can be calculated using integral calculus if a formula exists for the shape's boundary.
- One-dimensional figures (such as lines) and two-dimensional shapes (such as squares) are assigned zero volume in three-dimensional space.
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- The lines that separate these single phase regions are known as phase boundaries.
- Along the phase boundaries, the matter being evaluated exists simultaneously in equilibrium between the two states that border the phase boundary.
- When evaluating the phase diagram, it is worth noting that the solid-liquid phase boundary in the phase diagram of most substances has a positive slope.
- However, the solid-liquid phase boundary for water is anomalous, in that it has a negative slope.
- The dotted green line refers to the solid-liquid phase boundary for water.
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- The breadth of the product mix consists of all the product lines that the company has to offer to its customers.
- What products will be offered (i.e., the breadth and depth of the product line)?
- Who will be the target customers (i.e., the boundaries of the market segments to be served)?
- An individual product is a particular product within a product line.
- Describe the relationship between product line breadth and the product marketing mix
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- Social groups are defined by boundaries.
- One important factor in how symbolic boundaries function is how widely they are accepted as valid.
- Symbolic boundaries are a "necessary but insufficient" condition for social change.
- According to sociologists, it is "only when symbolic boundaries are widely agreed upon can they take on a constraining character… and become social boundaries. " Thus, rituals and traditions to define boundaries are extremely influential in determining how groups interact.
- He saw the symbolic boundary between the sacred and the profane as the most profound of all social facts, and the one from which lesser symbolic boundaries were derived.