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prove that d (x1,xn)<=d (x1,x2)+d (x2,x3)+.................+d (xn-1,xn)
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What is a system of measurement based on ten?
Matter is defined as that which has mass and occupies space. There are procedures to measure both. Even if you can't measure the mass of an object directly (such as a gas), you can still determine it's mass by measuring the space it occupies. Pressure is one way to measure the mass of gas by the amount of space it occupies.
How much energy of space structure is there in 1 metric cubic meter of space?
I don't think there is any energy associated with empty space.
What kind of space is there in one metric ton?
One metric ton of feathers will have a much larger volume than a ton of steel ingots.
How is the space of atoms in a solid different from a liquid and a gas?
A solid is more compact.
What is meant by gases are mostly empty space?
well solids would be particuls all compact then liquads would be less compact and so on for gases... this usually occurs from van der walls forces breaking from heating and then there is just empty space between particles that are in a gas form
Is Closed and bounded subset of a complete metric space compact?
No.
When is a metric on a set complete?
A metric on a set is complete if every Cauchy sequence in the corresponding metric space they form converges to a point of the set in question. The metric space itself is called a complete metric space. See related links for more information.
Can give the Examples for compact spaces in topology?
Any closed bounded subset of a metric space is compact.
Prove that Hilbert Space is a Metric Space?
The question doesn't make sense, or alternatively it is true by definition. A Hilbert Space is a complete inner product space - complete in the metric induced by the norm defined by the inner product over the space. In other words an inner product space is a vector space with an inner product defined on it. An inner product then defines a norm on the space, and every norm on a space induces a metric. A Hilbert Space is thus also a complete metric space, simply where the metric is induced by the inner product.
What is metric space?
The assumptions of a metric space except for symmetry.
What is quasi metric space?
The assumptions of a metric space except for symmetry.
What are the two factors that make urban settlements compact?
large population and lack of space in the cities, the settlement is compact
What is the average parking space for a parking garage?
8.5 feet, 7.5 feet for a compact space
Are all Hilbert Spaces Locally Compact?
No. Every infinite dimensional topological vector space is not locally compact. See the Wikipedia article on locally compact spaces.
What is the geometrical interpretatio of semi metric space?
I am also dying to know geometrical interpretation of semi-metric space . If anyone have idea please do infrom me as well
Will a Cadillac DTS fit inside of a compact car parking space?
The Cadillac DTS is considered a full size luxury car. Most full size autos will not easily fit into a compact car parking space and the DTS is no exception. Chances are that the car would be too wide and/or too long to fit comfortably in a compact parking space.
What is a Hard dense bone tissue called with few space?
compact bone
