Path: ...!news-out.netnews.com!postmaster.netnews.com!us14.netnews.com!not-for-mail X-Trace: DXC=IQHh>ClQ65Q3nP4W`aO0a[U5[F2hIijD_7J470dMQQ7[bnl:Bh6K7QRdae@QSNdb=TU5VOHgL4:VP_[?n`d5S`@U X-Complaints-To: support@frugalusenet.com Date: Wed, 12 Jun 2024 00:20:54 -0400 MIME-Version: 1.0 User-Agent: Mozilla Thunderbird Subject: Re: Transfer function reduction math Newsgroups: sci.electronics.design References: <66689297$0$981$882e4bbb@reader.netnews.com> <20240611a@crcomp.net> <6668f5e3$0$3747324$882e4bbb@reader.netnews.com> <20240611b@crcomp.net> <66691ea0$0$954$882e4bbb@reader.netnews.com> Content-Language: en-US From: bitrex In-Reply-To: <66691ea0$0$954$882e4bbb@reader.netnews.com> Content-Type: text/plain; charset=UTF-8; format=flowed Content-Transfer-Encoding: 7bit Lines: 7 Message-ID: <66692226$0$958$882e4bbb@reader.netnews.com> NNTP-Posting-Host: 127.0.0.1 X-Trace: 1718166054 reader.netnews.com 958 127.0.0.1:52355 Bytes: 1299 On 6/12/2024 12:05 AM, bitrex wrote: > even and odd parts in (4), I think plugging that form into > tanh(arctan(z)) = (e^z - e^-z) / (e^z + e^-z) tanh(arctan(z)) = [e^(arctan(z)) - e^(-arctan(z))]/[e^(arctan(z)) + e^(-arctan(z))], rather.