To solve the problem, we need to find the third term of a geometric progression (GP) where the sum of the first four terms is 30 and the sum of their squares is 340. 1. Define the terms of the GP: Let the first term be \( a
1. Understanding the terms of the GP: Let an be the n-th term of a geometric progression (GP). We can express the terms as: an=arn−1 where a is the first term and r is the common ratio. 2. Sum of odd indexed terms: The odd indexed terms are a1,a3,a5,…,a201 which can...
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golang.org/x/term v0.0.0-20210927222741-03fcf44c2211/go.mod h1:jbD1KX2456YbFQfuXm/mYQcufACuNUgVhRMnK/tPxf8= golang.org/x/text v0.0.0-20170915032832-14c0d48ead0c/go.mod h1:NqM8EUOU14njkJ3fqMW+pc6Ldnwhi/IjpwHt7yyuwOQ= golang.org/x/text v0.3.0/go.mod h1:NqM8EUOU14njkJ...
All of these four regularization methods fulfil requirements of sparsity and continuity. A coordinate decent algorithm for the LogSum + L 2 model Inspired by Liang et al.38, Eq. (3) is linearized by one-term Taylor series expansion: $$L(\beta ,\lambda ) \approx \left\{ {\frac{1...
golang.org/x/term v0.0.0-20210927222741-03fcf44c2211/go.mod h1:jbD1KX2456YbFQfuXm/mYQcufACuNUgVhRMnK/tPxf8= golang.org/x/text v0.0.0-20170915032832-14c0d48ead0c/go.mod h1:NqM8EUOU14njkJ3fqMW+pc6Ldnwhi/IjpwHt7yyuwOQ= golang.org/x/text v0.3.0/go.mod h1:NqM8EUOU14njkJ...
github.com/moby/term v0.0.0-20221205130635-1aeaba878587/go.mod h1:8FzsFHVUBGZdbDsJw/ot+X+d5HLUbvklYLJ9uGfcI3Y= github.com/nelsam/hel/v2 v2.3.2/go.mod h1:1ZTGfU2PFTOd5mx22i5O0Lc2GY933lQ2wb/ggy+rL3w= github.com/nelsam/hel/v2 v2.3.3/go.mod h1:1ZTGfU2PFTOd5mx22i5O0...
golang.org/x/term v0.0.0-20210927222741-03fcf44c2211/go.mod h1:jbD1KX2456YbFQfuXm/mYQcufACuNUgVhRMnK/tPxf8= golang.org/x/term v0.5.0/go.mod h1:jMB1sMXY+tzblOD4FWmEbocvup2/aLOaQEp7JmGp78k= golang.org/x/term v0.8.0/go.mod h1:xPskH00ivmX89bAKVGSKKtLOWNx2+17Eiy94tnKSh...