Find two examples for equivalet norms on three dimensional real space

Q: Date Find two examples for equivalont norms on three dimensional Yeal Space R3.

A: Question: Find two examples for equivalent norms on three dimensional real space ℝ3

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Q: Theorem 8.3. The space Rstd is connected.

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A: This is a problem of Topology.

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A: Follow the procedure given below.

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Q: Find two examples for equivalet norms on three dimensional real space R³. .

A: To take two vectors whose norms are the same.

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Q: 36) Prove that every product Space is inner metric Space- Discuss its Converse

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Q: Show that the norm of the maximum satisfies the definition of norm

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Q: With the help of exomples Show thaat on finite dimensional are equivalent. any two norms Linear…

A: Given: Any two norms on finite dimensional linear space are equivalent.

Q: Show that ℓ^1 is a normed linear space.

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Q: مممممم م العمل لها -Pre-Hilbert space - Metric space and Complete - Normed space and complet

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A: Topology question.

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A: We use contradiction method.

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Q: Find and Verify two yuivalent Gpuiralent norms on sfrace R.

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A: We have to prove that every uncountable set in 2nd countable space a limit point. Definition:- Let…

Q: Let N and N' be normed linear spaces with the

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Q: Prove or Disprove. Equivalent norms on X give the same norm of each x belongs to X.

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Q: Exhibit an open cover of the interval (1, 2] that has no finite subcover.

A: An open cover of A is a collection of open subsets of A whose union is all of A and that a finite…

Q: Show that the closure of a connected space is connected.

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Q: Suppose metric space X is not path-wise connected then X is not connected. True False

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Correlation

Correlation defines a relationship between two independent variables. It tells the degree to which variables move in relation to each other. When two sets of data are related to each other, there is a correlation between them.

Linear Correlation

A correlation is used to determine the relationships between numerical and categorical variables. In other words, it is an indicator of how things are connected to one another. The correlation analysis is the study of how variables are related. 

Regression Analysis

Regression analysis is a statistical method in which it estimates the relationship between a dependent variable and one or more independent variable. In simple terms dependent variable is called as outcome variable and independent variable is called as predictors. Regression analysis is one of the methods to find the trends in data. The independent variable used in Regression analysis is named Predictor variable. It offers data of an associated dependent variable regarding a particular outcome.