Hi, Thanks for the quick answer. I looked into the link that you provided. But I am still not able to implement a solution. Here is my attempt : library(ggplot2) x<-1:10 y<-x^2 df<-data.frame(x=x,y=y) p1<-ggplot(df,aes(x,y))+geom_point()+ scale_x_log10( breaks = scales::trans_breaks("log10", function(x) 10^x), labels = scales::trans_format("log10", scales::math_format(10^.x)) ) + scale_y_log10( breaks = scales::trans_breaks("log10", function(x) 10^x), labels = scales::trans_format("log10", scales::math_format(10^.x)) ) +theme_bw() p2<-p1 + annotation_logticks() p2 p2 + scale_y_continuous(sec.axis = sec_axis(~.)) I get the following error : Scale for 'y' is already present. Adding another scale for 'y', which will replace the existing scale. My questions : 1. How do I change the breaks and labels to correspond to those in my earlier plot with R graphics? I don't want the 10^x format. 2. When I try with the annotation_logticks('trbl') option in the above code, I get the error : Error in base - 1 : non-numeric argument to binary operator 3. I don't see how I can use the secondary axis option. I can see how I can multiply the y-variable (or x) by a constant ( e.g. by sec_axis(~.*10)). But I don't see how I can use it with a function. For example, with log or exp. 4. How can I create extra space in the margins with ggplot? Would the par() command work here as well? Would appreciate continued help. Thanks 2017-08-11 11:49 GMT+02:00 PIKAL Petr <petr.pikal at precheza.cz>:> Hi > > see in line > > -----Original Message----- > > From: R-help [mailto:r-help-bounces at r-project.org] On Behalf Of Vivek > > Sutradhara > > Sent: Friday, August 11, 2017 11:02 AM > > To: r-help <r-help at r-project.org> > > Subject: [R] Annotation Ticks on the axis > > > > Hi all, > > > > I would like to have help in getting annotation ticks (corresponding to > the > > minor grid) on my plot. Here is my toy example : > > > > > > par(mar=c(5, 6, 5, 5) + 0.1) > > > > x<-1:10 > > > > y<-x^2 > > > > plot(x,y,log="xy",xlab="log(x)",ylab="log(y)") > > > > par(new=T) > > > > plot(log(x),log(y),type='n',col="red",xaxt="n",yaxt="n",xlab="",ylab="") > > > > axis(side=3,tick=TRUE,at=pretty(range(log(x)))) > > > > mtext("log(x) with log labels",side=3,line=3) > > > > axis(side=4,tick=TRUE,at=pretty(range(log(y)))) > > > > mtext("log(y) with log labels",side=4,line=3) > > > > par() > > > > > > I have the following questions : > > > > 1. I get a long output after the final par command. How can I make this > output > > silent? > > pp<-par() > > > > > 2. I would like to get ticks corresponding to the command > annotation_logticks > > in ggplot2. Actually, it would be easiest for me to work directly with > ggplot. But > > I am not able to implement the secondary axis option with ggplot. Would > > appreciate help with that, if it is easier. > > http://ggplot2.tidyverse.org/reference/sec_axis.html > > Cheers > Petr > > > > > Thanks, > > > > Vivek > > > > [[alternative HTML version deleted]] > > > > ______________________________________________ > > R-help at r-project.org mailing list -- To UNSUBSCRIBE and more, see > > https://stat.ethz.ch/mailman/listinfo/r-help > > PLEASE do read the posting guide http://www.R-project.org/ > posting-guide.html > > and provide commented, minimal, self-contained, reproducible code. > > ________________________________ > Tento e-mail a jak?koliv k n?mu p?ipojen? dokumenty jsou d?v?rn? a jsou > ur?eny pouze jeho adres?t?m. > Jestli?e jste obdr?el(a) tento e-mail omylem, informujte laskav? > neprodlen? jeho odes?latele. Obsah tohoto emailu i s p??lohami a jeho kopie > vyma?te ze sv?ho syst?mu. > Nejste-li zam??len?m adres?tem tohoto emailu, nejste opr?vn?ni tento email > jakkoliv u??vat, roz?i?ovat, kop?rovat ?i zve?ej?ovat. > Odes?latel e-mailu neodpov?d? za eventu?ln? ?kodu zp?sobenou modifikacemi > ?i zpo?d?n?m p?enosu e-mailu. > > V p??pad?, ?e je tento e-mail sou??st? obchodn?ho jedn?n?: > - vyhrazuje si odes?latel pr?vo ukon?it kdykoliv jedn?n? o uzav?en? > smlouvy, a to z jak?hokoliv d?vodu i bez uveden? d?vodu. > - a obsahuje-li nab?dku, je adres?t opr?vn?n nab?dku bezodkladn? p?ijmout; > Odes?latel tohoto e-mailu (nab?dky) vylu?uje p?ijet? nab?dky ze strany > p??jemce s dodatkem ?i odchylkou. > - trv? odes?latel na tom, ?e p??slu?n? smlouva je uzav?ena teprve > v?slovn?m dosa?en?m shody na v?ech jej?ch n?le?itostech. > - odes?latel tohoto emailu informuje, ?e nen? opr?vn?n uzav?rat za > spole?nost ??dn? smlouvy s v?jimkou p??pad?, kdy k tomu byl p?semn? zmocn?n > nebo p?semn? pov??en a takov? pov??en? nebo pln? moc byly adres?tovi tohoto > emailu p??padn? osob?, kterou adres?t zastupuje, p?edlo?eny nebo jejich > existence je adres?tovi ?i osob? j?m zastoupen? zn?m?. > > This e-mail and any documents attached to it may be confidential and are > intended only for its intended recipients. > If you received this e-mail by mistake, please immediately inform its > sender. Delete the contents of this e-mail with all attachments and its > copies from your system. > If you are not the intended recipient of this e-mail, you are not > authorized to use, disseminate, copy or disclose this e-mail in any manner. > The sender of this e-mail shall not be liable for any possible damage > caused by modifications of the e-mail or by delay with transfer of the > email. > > In case that this e-mail forms part of business dealings: > - the sender reserves the right to end negotiations about entering into a > contract in any time, for any reason, and without stating any reasoning. > - if the e-mail contains an offer, the recipient is entitled to > immediately accept such offer; The sender of this e-mail (offer) excludes > any acceptance of the offer on the part of the recipient containing any > amendment or variation. > - the sender insists on that the respective contract is concluded only > upon an express mutual agreement on all its aspects. > - the sender of this e-mail informs that he/she is not authorized to enter > into any contracts on behalf of the company except for cases in which > he/she is expressly authorized to do so in writing, and such authorization > or power of attorney is submitted to the recipient or the person > represented by the recipient, or the existence of such authorization is > known to the recipient of the person represented by the recipient. >[[alternative HTML version deleted]]
> On Aug 11, 2017, at 3:23 AM, Vivek Sutradhara <viveksutra at gmail.com> wrote: > > Hi, > Thanks for the quick answer. I looked into the link that you provided. But > I am still not able to implement a solution. Here is my attempt : > > library(ggplot2) > x<-1:10 > y<-x^2 > df<-data.frame(x=x,y=y) > p1<-ggplot(df,aes(x,y))+geom_point()+ > scale_x_log10( > breaks = scales::trans_breaks("log10", function(x) 10^x), > labels = scales::trans_format("log10", scales::math_format(10^.x)) > ) + > scale_y_log10( > breaks = scales::trans_breaks("log10", function(x) 10^x), > labels = scales::trans_format("log10", scales::math_format(10^.x)) > ) +theme_bw() > p2<-p1 + annotation_logticks() > p2 > > > p2 + scale_y_continuous(sec.axis = sec_axis(~.)) > I get the following error : > Scale for 'y' is already present. Adding another scale for 'y', which will > replace the existing scale. >StackOverflow question with extensive commentary: Plot with 2 y axes, one y axis on the left, and another y axis on the right https://stackoverflow.com/questions/3099219/plot-with-2-y-axes-one-y-axis-on-the-left-and-another-y-axis-on-the-right David.> My questions : > 1. How do I change the breaks and labels to correspond to those in my > earlier plot with R graphics? I don't want the 10^x format. > 2. When I try with the annotation_logticks('trbl') option in the above > code, I get the error : > Error in base - 1 : non-numeric argument to binary operator > 3. I don't see how I can use the secondary axis option. I can see how I can > multiply the y-variable (or x) by a constant ( e.g. by sec_axis(~.*10)). > But I don't see how I can use it with a function. For example, with log or > exp. > 4. How can I create extra space in the margins with ggplot? Would the par() > command work here as well? > > Would appreciate continued help. > Thanks > > 2017-08-11 11:49 GMT+02:00 PIKAL Petr <petr.pikal at precheza.cz>: > >> Hi >> >> see in line >>> -----Original Message----- >>> From: R-help [mailto:r-help-bounces at r-project.org] On Behalf Of Vivek >>> Sutradhara >>> Sent: Friday, August 11, 2017 11:02 AM >>> To: r-help <r-help at r-project.org> >>> Subject: [R] Annotation Ticks on the axis >>> >>> Hi all, >>> >>> I would like to have help in getting annotation ticks (corresponding to >> the >>> minor grid) on my plot. Here is my toy example : >>> >>> >>> par(mar=c(5, 6, 5, 5) + 0.1) >>> >>> x<-1:10 >>> >>> y<-x^2 >>> >>> plot(x,y,log="xy",xlab="log(x)",ylab="log(y)") >>> >>> par(new=T) >>> >>> plot(log(x),log(y),type='n',col="red",xaxt="n",yaxt="n",xlab="",ylab="") >>> >>> axis(side=3,tick=TRUE,at=pretty(range(log(x)))) >>> >>> mtext("log(x) with log labels",side=3,line=3) >>> >>> axis(side=4,tick=TRUE,at=pretty(range(log(y)))) >>> >>> mtext("log(y) with log labels",side=4,line=3) >>> >>> par() >>> >>> >>> I have the following questions : >>> >>> 1. I get a long output after the final par command. How can I make this >> output >>> silent? >> >> pp<-par() >> >>> >>> 2. I would like to get ticks corresponding to the command >> annotation_logticks >>> in ggplot2. Actually, it would be easiest for me to work directly with >> ggplot. But >>> I am not able to implement the secondary axis option with ggplot. Would >>> appreciate help with that, if it is easier. >> >> http://ggplot2.tidyverse.org/reference/sec_axis.html >> >> Cheers >> Petr >> >>> >>> Thanks, >>> >>> Vivek >>> >>> [[alternative HTML version deleted]] >>> >>> ______________________________________________ >>> R-help at r-project.org mailing list -- To UNSUBSCRIBE and more, see >>> https://stat.ethz.ch/mailman/listinfo/r-help >>> PLEASE do read the posting guide http://www.R-project.org/ >> posting-guide.html >>> and provide commented, minimal, self-contained, reproducible code. >> >> ________________________________ >> Tento e-mail a jak?koliv k n?mu p?ipojen? dokumenty jsou d?v?rn? a jsou >> ur?eny pouze jeho adres?t?m. >> Jestli?e jste obdr?el(a) tento e-mail omylem, informujte laskav? >> neprodlen? jeho odes?latele. Obsah tohoto emailu i s p??lohami a jeho kopie >> vyma?te ze sv?ho syst?mu. >> Nejste-li zam??len?m adres?tem tohoto emailu, nejste opr?vn?ni tento email >> jakkoliv u??vat, roz?i?ovat, kop?rovat ?i zve?ej?ovat. >> Odes?latel e-mailu neodpov?d? za eventu?ln? ?kodu zp?sobenou modifikacemi >> ?i zpo?d?n?m p?enosu e-mailu. >> >> V p??pad?, ?e je tento e-mail sou??st? obchodn?ho jedn?n?: >> - vyhrazuje si odes?latel pr?vo ukon?it kdykoliv jedn?n? o uzav?en? >> smlouvy, a to z jak?hokoliv d?vodu i bez uveden? d?vodu. >> - a obsahuje-li nab?dku, je adres?t opr?vn?n nab?dku bezodkladn? p?ijmout; >> Odes?latel tohoto e-mailu (nab?dky) vylu?uje p?ijet? nab?dky ze strany >> p??jemce s dodatkem ?i odchylkou. >> - trv? odes?latel na tom, ?e p??slu?n? smlouva je uzav?ena teprve >> v?slovn?m dosa?en?m shody na v?ech jej?ch n?le?itostech. >> - odes?latel tohoto emailu informuje, ?e nen? opr?vn?n uzav?rat za >> spole?nost ??dn? smlouvy s v?jimkou p??pad?, kdy k tomu byl p?semn? zmocn?n >> nebo p?semn? pov??en a takov? pov??en? nebo pln? moc byly adres?tovi tohoto >> emailu p??padn? osob?, kterou adres?t zastupuje, p?edlo?eny nebo jejich >> existence je adres?tovi ?i osob? j?m zastoupen? zn?m?. >> >> This e-mail and any documents attached to it may be confidential and are >> intended only for its intended recipients. >> If you received this e-mail by mistake, please immediately inform its >> sender. Delete the contents of this e-mail with all attachments and its >> copies from your system. >> If you are not the intended recipient of this e-mail, you are not >> authorized to use, disseminate, copy or disclose this e-mail in any manner. >> The sender of this e-mail shall not be liable for any possible damage >> caused by modifications of the e-mail or by delay with transfer of the >> email. >> >> In case that this e-mail forms part of business dealings: >> - the sender reserves the right to end negotiations about entering into a >> contract in any time, for any reason, and without stating any reasoning. >> - if the e-mail contains an offer, the recipient is entitled to >> immediately accept such offer; The sender of this e-mail (offer) excludes >> any acceptance of the offer on the part of the recipient containing any >> amendment or variation. >> - the sender insists on that the respective contract is concluded only >> upon an express mutual agreement on all its aspects. >> - the sender of this e-mail informs that he/she is not authorized to enter >> into any contracts on behalf of the company except for cases in which >> he/she is expressly authorized to do so in writing, and such authorization >> or power of attorney is submitted to the recipient or the person >> represented by the recipient, or the existence of such authorization is >> known to the recipient of the person represented by the recipient. >> > > [[alternative HTML version deleted]] > > ______________________________________________ > R-help at r-project.org mailing list -- To UNSUBSCRIBE and more, see > https://stat.ethz.ch/mailman/listinfo/r-help > PLEASE do read the posting guide http://www.R-project.org/posting-guide.html > and provide commented, minimal, self-contained, reproducible code.David Winsemius Alameda, CA, USA 'Any technology distinguishable from magic is insufficiently advanced.' -Gehm's Corollary to Clarke's Third Law
Hi Yes that is exactly from where I found sec_axis example. ggplot(mpg, aes(displ, hwy)) + geom_point() + scale_y_continuous( "mpg (US)", sec.axis = sec_axis(~ . * 1.20, name = "mpg (UK)") ) which works if used as intended p1<-ggplot(df,aes(x,y))+geom_point()+ scale_x_log10( breaks = scales::trans_breaks("log10", function(x) 10^x), labels = scales::trans_format("log10", scales::math_format(10^.x)) ) + scale_y_log10( breaks = scales::trans_breaks("log10", function(x) 10^x), labels = scales::trans_format("log10", scales::math_format(10^.x)), sec.axis = sec_axis(~./500) ) +theme_bw() p2<-p1 + annotation_logticks() p2 Cheers Petr> -----Original Message----- > From: David Winsemius [mailto:dwinsemius at comcast.net] > Sent: Friday, August 11, 2017 7:46 PM > To: Vivek Sutradhara <viveksutra at gmail.com> > Cc: PIKAL Petr <petr.pikal at precheza.cz>; r-help <r-help at r-project.org> > Subject: Re: [R] Annotation Ticks on the axis > > > > On Aug 11, 2017, at 3:23 AM, Vivek Sutradhara <viveksutra at gmail.com> > wrote: > > > > Hi, > > Thanks for the quick answer. I looked into the link that you provided. > > But I am still not able to implement a solution. Here is my attempt : > > > > library(ggplot2) > > x<-1:10 > > y<-x^2 > > df<-data.frame(x=x,y=y) > > p1<-ggplot(df,aes(x,y))+geom_point()+ > > scale_x_log10( > > breaks = scales::trans_breaks("log10", function(x) 10^x), > > labels = scales::trans_format("log10", scales::math_format(10^.x)) > > ) + > > scale_y_log10( > > breaks = scales::trans_breaks("log10", function(x) 10^x), > > labels = scales::trans_format("log10", scales::math_format(10^.x)) > > ) +theme_bw() > > p2<-p1 + annotation_logticks() > > p2 > > > > > > p2 + scale_y_continuous(sec.axis = sec_axis(~.)) I get the following > > error : > > Scale for 'y' is already present. Adding another scale for 'y', which > > will replace the existing scale. > > > StackOverflow question with extensive commentary: > > Plot with 2 y axes, one y axis on the left, and another y axis on the right > https://stackoverflow.com/questions/3099219/plot-with-2-y-axes-one-y-axis- > on-the-left-and-another-y-axis-on-the-right > > David. > > > My questions : > > 1. How do I change the breaks and labels to correspond to those in my > > earlier plot with R graphics? I don't want the 10^x format. > > 2. When I try with the annotation_logticks('trbl') option in the above > > code, I get the error : > > Error in base - 1 : non-numeric argument to binary operator 3. I don't > > see how I can use the secondary axis option. I can see how I can > > multiply the y-variable (or x) by a constant ( e.g. by sec_axis(~.*10)). > > But I don't see how I can use it with a function. For example, with > > log or exp. > > 4. How can I create extra space in the margins with ggplot? Would the > > par() command work here as well? > > > > Would appreciate continued help. > > Thanks > > > > 2017-08-11 11:49 GMT+02:00 PIKAL Petr <petr.pikal at precheza.cz>: > > > >> Hi > >> > >> see in line > >>> -----Original Message----- > >>> From: R-help [mailto:r-help-bounces at r-project.org] On Behalf Of > >>> Vivek Sutradhara > >>> Sent: Friday, August 11, 2017 11:02 AM > >>> To: r-help <r-help at r-project.org> > >>> Subject: [R] Annotation Ticks on the axis > >>> > >>> Hi all, > >>> > >>> I would like to have help in getting annotation ticks (corresponding > >>> to > >> the > >>> minor grid) on my plot. Here is my toy example : > >>> > >>> > >>> par(mar=c(5, 6, 5, 5) + 0.1) > >>> > >>> x<-1:10 > >>> > >>> y<-x^2 > >>> > >>> plot(x,y,log="xy",xlab="log(x)",ylab="log(y)") > >>> > >>> par(new=T) > >>> > >>> plot(log(x),log(y),type='n',col="red",xaxt="n",yaxt="n",xlab="",ylab > >>> ="") > >>> > >>> axis(side=3,tick=TRUE,at=pretty(range(log(x)))) > >>> > >>> mtext("log(x) with log labels",side=3,line=3) > >>> > >>> axis(side=4,tick=TRUE,at=pretty(range(log(y)))) > >>> > >>> mtext("log(y) with log labels",side=4,line=3) > >>> > >>> par() > >>> > >>> > >>> I have the following questions : > >>> > >>> 1. I get a long output after the final par command. How can I make > >>> this > >> output > >>> silent? > >> > >> pp<-par() > >> > >>> > >>> 2. I would like to get ticks corresponding to the command > >> annotation_logticks > >>> in ggplot2. Actually, it would be easiest for me to work directly > >>> with > >> ggplot. But > >>> I am not able to implement the secondary axis option with ggplot. > >>> Would appreciate help with that, if it is easier. > >> > >> http://ggplot2.tidyverse.org/reference/sec_axis.html > >> > >> Cheers > >> Petr > >> > >>> > >>> Thanks, > >>> > >>> Vivek > >>> > >>> [[alternative HTML version deleted]] > >>> > >>> ______________________________________________ > >>> R-help at r-project.org mailing list -- To UNSUBSCRIBE and more, see > >>> https://stat.ethz.ch/mailman/listinfo/r-help > >>> PLEASE do read the posting guide http://www.R-project.org/ > >> posting-guide.html > >>> and provide commented, minimal, self-contained, reproducible code. > >> > >> ________________________________ > >> Tento e-mail a jak?koliv k n?mu p?ipojen? dokumenty jsou d?v?rn? a > >> jsou ur?eny pouze jeho adres?t?m. > >> Jestli?e jste obdr?el(a) tento e-mail omylem, informujte laskav? > >> neprodlen? jeho odes?latele. Obsah tohoto emailu i s p??lohami a jeho > >> kopie vyma?te ze sv?ho syst?mu. > >> Nejste-li zam??len?m adres?tem tohoto emailu, nejste opr?vn?ni tento > >> email jakkoliv u??vat, roz?i?ovat, kop?rovat ?i zve?ej?ovat. > >> Odes?latel e-mailu neodpov?d? za eventu?ln? ?kodu zp?sobenou > >> modifikacemi ?i zpo?d?n?m p?enosu e-mailu. > >> > >> V p??pad?, ?e je tento e-mail sou??st? obchodn?ho jedn?n?: > >> - vyhrazuje si odes?latel pr?vo ukon?it kdykoliv jedn?n? o uzav?en? > >> smlouvy, a to z jak?hokoliv d?vodu i bez uveden? d?vodu. > >> - a obsahuje-li nab?dku, je adres?t opr?vn?n nab?dku bezodkladn? > >> p?ijmout; Odes?latel tohoto e-mailu (nab?dky) vylu?uje p?ijet? > >> nab?dky ze strany p??jemce s dodatkem ?i odchylkou. > >> - trv? odes?latel na tom, ?e p??slu?n? smlouva je uzav?ena teprve > >> v?slovn?m dosa?en?m shody na v?ech jej?ch n?le?itostech. > >> - odes?latel tohoto emailu informuje, ?e nen? opr?vn?n uzav?rat za > >> spole?nost ??dn? smlouvy s v?jimkou p??pad?, kdy k tomu byl p?semn? > >> zmocn?n nebo p?semn? pov??en a takov? pov??en? nebo pln? moc byly > >> adres?tovi tohoto emailu p??padn? osob?, kterou adres?t zastupuje, > >> p?edlo?eny nebo jejich existence je adres?tovi ?i osob? j?m zastoupen? > zn?m?. > >> > >> This e-mail and any documents attached to it may be confidential and > >> are intended only for its intended recipients. > >> If you received this e-mail by mistake, please immediately inform its > >> sender. Delete the contents of this e-mail with all attachments and > >> its copies from your system. > >> If you are not the intended recipient of this e-mail, you are not > >> authorized to use, disseminate, copy or disclose this e-mail in any manner. > >> The sender of this e-mail shall not be liable for any possible damage > >> caused by modifications of the e-mail or by delay with transfer of > >> the email. > >> > >> In case that this e-mail forms part of business dealings: > >> - the sender reserves the right to end negotiations about entering > >> into a contract in any time, for any reason, and without stating any > reasoning. > >> - if the e-mail contains an offer, the recipient is entitled to > >> immediately accept such offer; The sender of this e-mail (offer) > >> excludes any acceptance of the offer on the part of the recipient > >> containing any amendment or variation. > >> - the sender insists on that the respective contract is concluded > >> only upon an express mutual agreement on all its aspects. > >> - the sender of this e-mail informs that he/she is not authorized to > >> enter into any contracts on behalf of the company except for cases in > >> which he/she is expressly authorized to do so in writing, and such > >> authorization or power of attorney is submitted to the recipient or > >> the person represented by the recipient, or the existence of such > >> authorization is known to the recipient of the person represented by the > recipient. > >> > > > > [[alternative HTML version deleted]] > > > > ______________________________________________ > > R-help at r-project.org mailing list -- To UNSUBSCRIBE and more, see > > https://stat.ethz.ch/mailman/listinfo/r-help > > PLEASE do read the posting guide > > http://www.R-project.org/posting-guide.html > > and provide commented, minimal, self-contained, reproducible code. > > David Winsemius > Alameda, CA, USA > > 'Any technology distinguishable from magic is insufficiently advanced.' - > Gehm's Corollary to Clarke's Third Law > > > >________________________________ Tento e-mail a jak?koliv k n?mu p?ipojen? dokumenty jsou d?v?rn? a jsou ur?eny pouze jeho adres?t?m. Jestli?e jste obdr?el(a) tento e-mail omylem, informujte laskav? neprodlen? jeho odes?latele. Obsah tohoto emailu i s p??lohami a jeho kopie vyma?te ze sv?ho syst?mu. Nejste-li zam??len?m adres?tem tohoto emailu, nejste opr?vn?ni tento email jakkoliv u??vat, roz?i?ovat, kop?rovat ?i zve?ej?ovat. Odes?latel e-mailu neodpov?d? za eventu?ln? ?kodu zp?sobenou modifikacemi ?i zpo?d?n?m p?enosu e-mailu. V p??pad?, ?e je tento e-mail sou??st? obchodn?ho jedn?n?: - vyhrazuje si odes?latel pr?vo ukon?it kdykoliv jedn?n? o uzav?en? smlouvy, a to z jak?hokoliv d?vodu i bez uveden? d?vodu. - a obsahuje-li nab?dku, je adres?t opr?vn?n nab?dku bezodkladn? p?ijmout; Odes?latel tohoto e-mailu (nab?dky) vylu?uje p?ijet? nab?dky ze strany p??jemce s dodatkem ?i odchylkou. - trv? odes?latel na tom, ?e p??slu?n? smlouva je uzav?ena teprve v?slovn?m dosa?en?m shody na v?ech jej?ch n?le?itostech. - odes?latel tohoto emailu informuje, ?e nen? opr?vn?n uzav?rat za spole?nost ??dn? smlouvy s v?jimkou p??pad?, kdy k tomu byl p?semn? zmocn?n nebo p?semn? pov??en a takov? pov??en? nebo pln? moc byly adres?tovi tohoto emailu p??padn? osob?, kterou adres?t zastupuje, p?edlo?eny nebo jejich existence je adres?tovi ?i osob? j?m zastoupen? zn?m?. This e-mail and any documents attached to it may be confidential and are intended only for its intended recipients. If you received this e-mail by mistake, please immediately inform its sender. Delete the contents of this e-mail with all attachments and its copies from your system. If you are not the intended recipient of this e-mail, you are not authorized to use, disseminate, copy or disclose this e-mail in any manner. The sender of this e-mail shall not be liable for any possible damage caused by modifications of the e-mail or by delay with transfer of the email. In case that this e-mail forms part of business dealings: - the sender reserves the right to end negotiations about entering into a contract in any time, for any reason, and without stating any reasoning. - if the e-mail contains an offer, the recipient is entitled to immediately accept such offer; The sender of this e-mail (offer) excludes any acceptance of the offer on the part of the recipient containing any amendment or variation. - the sender insists on that the respective contract is concluded only upon an express mutual agreement on all its aspects. - the sender of this e-mail informs that he/she is not authorized to enter into any contracts on behalf of the company except for cases in which he/she is expressly authorized to do so in writing, and such authorization or power of attorney is submitted to the recipient or the person represented by the recipient, or the existence of such authorization is known to the recipient of the person represented by the recipient.