[R] Melt and compute Max, Mean, Min

PIKAL Petr petr.pikal at precheza.cz
Mon Nov 21 06:57:58 CET 2016


Hi

see in line

From: Miluji Sb [mailto:milujisb at gmail.com]
Sent: Friday, November 18, 2016 3:57 PM
To: PIKAL Petr <petr.pikal at precheza.cz>
Cc: r-help mailing list <r-help at r-project.org>
Subject: Re: [R] Melt and compute Max, Mean, Min

If I do:

as.data.frame(apply(df[,-(1:3)],1, mean, na.rm=T))

is it possible to sequentially name the variables as "mean_1960", "max_1960". "min_1960", "mean_1961", "max_1961". "min_1961", ...?

But here you have only mean. How do you want to add min or max?


On Fri, Nov 18, 2016 at 3:10 PM, Miluji Sb <milujisb at gmail.com<mailto:milujisb at gmail.com>> wrote:
Dear Petr,

Thank you for the code, apologies though as I copied the wrong data, This is precipitation data and not temperature.

For the loop, could I do something like this?

filelist <- list.files(pattern=".csv")


Not exactly.

In this case I would use for cycle. It is quite easy to do something like:

for( i in 1:length(filelist)) {

temp<-read.csv(filelist[i]) #you need to read your file in R first

.mean <- apply(temp[,-(1:3)],1, mean, na.rm=T)
.max <- apply(temp[,-(1:3)],1, max, na.rm=T)
.min <- apply(temp[,-(1:3)],1, min, na.rm=T)

# now you can concatenate those results as you wish, name them or anything. It is difficult to suggest any direct code as you did not disclose what do you want to do with summaries further.

}

And BTW, please, do not post in HTML.



myDTs <- lapply(filelist, function(.file) {

apply(temp[,-(1:3)],1, mean, na.rm=T)

}

Thanks again!

Sincerely,

Milu


On Fri, Nov 18, 2016 at 2:46 PM, PIKAL Petr <petr.pikal at precheza.cz<mailto:petr.pikal at precheza.cz>> wrote:
Hi

I am not completely sure what you want to do but

> apply(temp[,-(1:3)],1, mean, na.rm=T)
       1        2        3        4        5
     NaN      NaN 2.159516 1.519914 1.514007
> apply(temp[,-(1:3)],1, max, na.rm=T)
       1        2        3        4        5
    -Inf     -Inf 57.36528 39.45348 45.23904
Warning messages:
1: In FUN(newX[, i], ...) :
  no non-missing arguments to max; returning -Inf
2: In FUN(newX[, i], ...) :
  no non-missing arguments to max; returning -Inf
> apply(temp[,-(1:3)],1, min, na.rm=T)
  1   2   3   4   5
Inf Inf   0   0   0

gives you mentioned summary for each row. If you have duplicate rows you shall first aggregate them. However, it seems to me that your data are not correct. It is quite strange that for given lat/lon you have one day value 23 and the next day 0.

temp[1:5, 1:10]
  ISO3 lon lat day_1 day_2    day_3 day_4 day_5 day_6    day_7
1  CHL -69 -55    NA    NA       NA    NA    NA    NA       NA
2  CHL -68 -55    NA    NA       NA    NA    NA    NA       NA
3  CHL -72 -54     0     0  0.00000     0     0     0  2.83824
4 <NA> -71 -54     0     0 23.37984     0     0     0 11.80116
5  CHL -70 -54     0     0  0.00000     0     0     0  1.24956

If you want to process all your files you can do it in cycle. The function

list.files()

can be handy for that task.

Cheers
Petr

> -----Original Message-----
> From: R-help [mailto:r-help-bounces at r-project.org<mailto:r-help-bounces at r-project.org>] On Behalf Of Miluji Sb
> Sent: Friday, November 18, 2016 1:49 PM
> To: r-help mailing list <r-help at r-project.org<mailto:r-help at r-project.org>>
> Subject: [R] Melt and compute Max, Mean, Min
>
> Dear all,
>
> I have 51 years of data (1960 - 2010) in csv format, where each file represents
> one year of data. Below is what each file looks like.
>
> These are temperature data by coordinates, my goal is to to compute max,
> min, and mean by year for each of the coordinates and construct a panel
> dataset. Any help will be appreciated, thank you!
>
> Sincerely,
>
> Milu
>
> temp <- dput(head(df,5))
> structure(list(ISO3 = structure(c(28L, 28L, 28L, NA, 28L), .Label = c("AFG",
> "AGO", "ALB", "ARE", "ARG", "ARM", "AUS", "AUT", "AZE", "BDI", "BEL",
> "BEN", "BFA", "BGD", "BGR", "BHS", "BIH", "BLR", "BLZ", "BOL", "BRA",
> "BRN", "BTN", "BWA", "CAF", "CAN", "CHE", "CHL", "CHN", "CIV", "CMR",
> "COD", "COG", "COL", "CRI", "CUB", "CYP", "CZE", "DEU", "DJI", "DNK",
> "DOM", "DZA", "ECU", "EGY", "ERI", "ESH", "ESP", "EST", "ETH", "FIN", "FJI",
> "FLK", "FRA", "GAB", "GBR", "GEO", "GHA", "GIN", "GNB", "GNQ", "GRC",
> "GRL", "GTM", "GUF", "GUY", "HND", "HRV", "HTI", "HUN", "IDN", "IND",
> "IRL", "IRN", "IRQ", "ISL", "ISR", "ITA", "JAM", "JOR", "JPN", "KAZ", "KEN",
> "KGZ", "KHM", "KIR", "KOR", "KWT", "LAO", "LBN", "LBR", "LBY", "LCA",
> "LKA", "LSO", "LTU", "LUX", "LVA", "MAR", "MDA", "MDG", "MEX", "MKD",
> "MLI", "MMR", "MNE", "MNG", "MOZ", "MRT", "MWI", "MYS", "NAM",
> "NCL", "NER", "NGA", "NIC", "NLD", "NOR", "NPL", "NZL", "OMN", "PAK",
> "PAN", "PER", "PHL", "PNG", "POL", "PRI", "PRK", "PRT", "PRY", "QAT",
> "ROU", "RUS", "RWA", "SAU", "SDN", "SEN", "SJM", "SLB", "SLE", "SLV",
> "SOM", "SRB", "SUR", "SVK", "SVN", "SWE", "SWZ", "SYR", "TCD", "TGO",
> "THA", "TJK", "TKM", "TLS", "TUN", "TUR", "TWN", "TZA", "UGA", "UKR",
> "URY", "USA", "UZB", "VEN", "VNM", "VUT", "YEM", "ZAF", "ZMB", "ZWE"
> ), class = "factor"), lon = c(-69L, -68L, -72L, -71L, -70L),
>     lat = c(-55L, -55L, -54L, -54L, -54L), day_1 = c(NA, NA,
>     0, 0, 0), day_2 = c(NA, NA, 0, 0, 0), day_3 = c(NA, NA, 0,
>     23.37984, 0), day_4 = c(NA, NA, 0, 0, 0), day_5 = c(NA, NA,
>     0, 0, 0), day_6 = c(NA, NA, 0, 0, 0), day_7 = c(NA, NA, 2.83824,
>     11.80116, 1.24956), day_8 = c(NA, NA, 0, 1.68588, 14.69448
>     ), day_9 = c(NA, NA, 0, 0, 1.09296), day_10 = c(NA, NA, 0,
>     0, 0), day_11 = c(NA, NA, 3.78, 3.7422, 0), day_12 = c(NA,
>     NA, 0.54, 0, 0), day_13 = c(NA, NA, 0, 0, 0), day_14 = c(NA,
>     NA, 0, 0, 0.39204), day_15 = c(NA, NA, 0, 0, 11.58732), day_16 = c(NA,
>     NA, 0, 0, 0), day_17 = c(NA, NA, 0, 1.14048, 12.26448), day_18 = c(NA,
>     NA, 0, 1.1934, 7.59024), day_19 = c(NA, NA, 9.74268, 0, 0
>     ), day_20 = c(NA, NA, 0, 0, 0), day_21 = c(NA, NA, 1.96776,
>     0, 0), day_22 = c(NA, NA, 0, 0, 0), day_23 = c(NA, NA, 0,
>     0, 0), day_24 = c(NA, NA, 6.21756, 2.74752, 0), day_25 = c(NA,
>     NA, 0, 0, 3.37932), day_26 = c(NA, NA, 4.8384, 0, 0), day_27 = c(NA,
>     NA, 0, 0, 0), day_28 = c(NA, NA, 0, 0, 0), day_29 = c(NA,
>     NA, 22.37328, 0, 0), day_30 = c(NA, NA, 28.97424, 11.25468,
>     0), day_31 = c(NA, NA, 0, 0, 0), day_32 = c(NA, NA, 0, 0,
>     2.00448), day_33 = c(NA, NA, 0, 0, 0), day_34 = c(NA, NA,
>     0, 0, 0), day_35 = c(NA, NA, 0, 0, 0), day_36 = c(NA, NA,
>     0, 0, 0), day_37 = c(NA, NA, 0, 0, 0), day_38 = c(NA, NA,
>     32.7132, 31.71852, 0), day_39 = c(NA, NA, 0, 0, 5.84604),
>     day_40 = c(NA, NA, 0, 0, 0), day_41 = c(NA, NA, 0, 0, 0),
>     day_42 = c(NA, NA, 0, 0, 0), day_43 = c(NA, NA, 0, 0, 0),
>     day_44 = c(NA, NA, 0, 0, 1.78416), day_45 = c(NA, NA, 0,
>     0, 0), day_46 = c(NA, NA, 33.84504, 0, 0), day_47 = c(NA,
>     NA, 0, 0, 0), day_48 = c(NA, NA, 0, 0, 0), day_49 = c(NA,
>     NA, 0, 0, 0), day_50 = c(NA, NA, 0, 0.4752, 0), day_51 = c(NA,
>     NA, 0, 0, 22.02012), day_52 = c(NA, NA, 0, 0, 0), day_53 = c(NA,
>     NA, 0, 0, 3.48084), day_54 = c(NA, NA, 0, 0, 0), day_55 = c(NA,
>     NA, 0.58212, 0, 0), day_56 = c(NA, NA, 0.35316, 0, 0), day_57 = c(NA,
>     NA, 0, 0, 12.65436), day_58 = c(NA, NA, 0, 0, 0), day_59 = c(NA,
>     NA, 0, 0, 0), day_60 = c(NA, NA, 3.03372, 22.05576, 0), day_61 = c(NA,
>     NA, 2.5758, 0, 0), day_62 = c(NA, NA, 0, 0, 0), day_63 = c(NA,
>     NA, 3.67416, 25.22016, 4.21524), day_64 = c(NA, NA, 0.52488,
>     3.60288, 0), day_65 = c(NA, NA, 12.82608, 0, 0), day_66 = c(NA,
>     NA, 0, 0, 0), day_67 = c(NA, NA, 0, 0, 0), day_68 = c(NA,
>     NA, 0, 0, 0), day_69 = c(NA, NA, 0, 0, 0), day_70 = c(NA,
>     NA, 1.11564, 5.17536, 0), day_71 = c(NA, NA, 1.18584, 0,
>     0), day_72 = c(NA, NA, 0, 0, 0.10584), day_73 = c(NA, NA,
>     0.62748, 14.39748, 7.50708), day_74 = c(NA, NA, 7.20252,
>     20.02644, 1.07244), day_75 = c(NA, NA, 1.87488, 0, 0), day_76 = c(NA,
>     NA, 0.26784, 0, 0), day_77 = c(NA, NA, 0, 0, 0), day_78 = c(NA,
>     NA, 0, 0, 2.81664), day_79 = c(NA, NA, 0, 0, 0), day_80 = c(NA,
>     NA, 0, 0, 0), day_81 = c(NA, NA, 0, 0, 0), day_82 = c(NA,
>     NA, 1.29276, 0, 0), day_83 = c(NA, NA, 0.18468, 0, 1.46124
>     ), day_84 = c(NA, NA, 0, 0, 0), day_85 = c(NA, NA, 0, 0,
>     0), day_86 = c(NA, NA, 57.36528, 0, 0), day_87 = c(NA, NA,
>     8.19504, 0, 0), day_88 = c(NA, NA, 0, 0, 0), day_89 = c(NA,
>     NA, 6.45732, 0, 0), day_90 = c(NA, NA, 0, 0, 0), day_91 = c(NA,
>     NA, 0, 0, 44.20332), day_92 = c(NA, NA, 0, 0, 6.31476), day_93 = c(NA,
>     NA, 0, 0, 0.35748), day_94 = c(NA, NA, 16.74972, 30.35988,
>     5.0436), day_95 = c(NA, NA, 4.93992, 1.46556, 19.86768),
>     day_96 = c(NA, NA, 0, 0, 0.88128), day_97 = c(NA, NA, 5.751,
>     19.02096, 0), day_98 = c(NA, NA, 11.5452, 13.37148, 0), day_99 = c(NA,
>     NA, 0, 0, 0), day_100 = c(NA, NA, 0, 0, 0), day_101 = c(NA,
>     NA, 4.70124, 23.80644, 7.61832), day_102 = c(NA, NA, 0, 1.02492,
>     0), day_103 = c(NA, NA, 0, 0, 15.86304), day_104 = c(NA,
>     NA, 0, 0, 0.26352), day_105 = c(NA, NA, 0, 0, 21.60864),
>     day_106 = c(NA, NA, 56.93436, 0, 0.22464), day_107 = c(NA,
>     NA, 8.13348, 0, 0), day_108 = c(NA, NA, 6.83748, 0, 0), day_109 = c(NA,
>     NA, 0, 0, 0), day_110 = c(NA, NA, 14.36724, 0, 0), day_111 = c(NA,
>     NA, 0.63936, 2.43864, 4.0554), day_112 = c(NA, NA, 1.21392,
>     1.15452, 0), day_113 = c(NA, NA, 0.7722, 0, 0), day_114 = c(NA,
>     NA, 0, 0, 1.08864), day_115 = c(NA, NA, 1.47528, 0, 0), day_116 = c(NA,
>     NA, 0, 1.73124, 0), day_117 = c(NA, NA, 0, 0, 0), day_118 = c(NA,
>     NA, 2.4516, 0, 0), day_119 = c(NA, NA, 0, 3.14388, 0), day_120 = c(NA,
>     NA, 1.81872, 0, 0), day_121 = c(NA, NA, 2.77236, 0, 0), day_122 = c(NA,
>     NA, 1.34028, 0.70632, 0), day_123 = c(NA, NA, 0, 0, 0), day_124 = c(NA,
>     NA, 0, 0, 0), day_125 = c(NA, NA, 0.56484, 0.74412, 0), day_126 = c(NA,
>     NA, 1.11888, 0.06264, 0), day_127 = c(NA, NA, 0, 0, 0), day_128 = c(NA,
>     NA, 1.05624, 0, 0), day_129 = c(NA, NA, 26.63928, 34.04268,
>     0), day_130 = c(NA, NA, 6.89796, 0, 0), day_131 = c(NA, NA,
>     1.91592, 2.241, 0), day_132 = c(NA, NA, 0, 2.23668, 45.23904
>     ), day_133 = c(NA, NA, 0, 0, 6.46272), day_134 = c(NA, NA,
>     0, 0, 0), day_135 = c(NA, NA, 0, 0, 0), day_136 = c(NA, NA,
>     0, 0, 0), day_137 = c(NA, NA, 0, 0, 0), day_138 = c(NA, NA,
>     0, 0, 0), day_139 = c(NA, NA, 0, 0, 0), day_140 = c(NA, NA,
>     0, 0, 0), day_141 = c(NA, NA, 0, 0, 0), day_142 = c(NA, NA,
>     0, 0, 0), day_143 = c(NA, NA, 0, 0, 0), day_144 = c(NA, NA,
>     2.943, 5.17536, 0), day_145 = c(NA, NA, 0, 0, 0), day_146 = c(NA,
>     NA, 0, 0, 0), day_147 = c(NA, NA, 0, 0, 0), day_148 = c(NA,
>     NA, 10.96308, 2.98188, 0), day_149 = c(NA, NA, 20.4822, 0.43632,
>     0), day_150 = c(NA, NA, 1.5282, 0, 0), day_151 = c(NA, NA,
>     0, 0, 0), day_152 = c(NA, NA, 0, 0, 0), day_153 = c(NA, NA,
>     0, 0, 0), day_154 = c(NA, NA, 0, 0, 0), day_155 = c(NA, NA,
>     0, 0, 0), day_156 = c(NA, NA, 0, 0, 0), day_157 = c(NA, NA,
>     0, 0, 0), day_158 = c(NA, NA, 0, 0, 0), day_159 = c(NA, NA,
>     0, 0, 0), day_160 = c(NA, NA, 0, 0, 0), day_161 = c(NA, NA,
>     0, 0, 0), day_162 = c(NA, NA, 0, 0, 0), day_163 = c(NA, NA,
>     0, 26.3412, 4.07376), day_164 = c(NA, NA, 0, 4.28328, 3.03156
>     ), day_165 = c(NA, NA, 0, 0, 0), day_166 = c(NA, NA, 0, 0,
>     4.60404), day_167 = c(NA, NA, 0, 0, 0.70848), day_168 = c(NA,
>     NA, 0, 0, 0), day_169 = c(NA, NA, 0, 0, 0), day_170 = c(NA,
>     NA, 0, 0, 0), day_171 = c(NA, NA, 0, 0, 0), day_172 = c(NA,
>     NA, 0, 0, 0), day_173 = c(NA, NA, 0, 0, 3.7854), day_174 = c(NA,
>     NA, 0, 0, 0), day_175 = c(NA, NA, 0, 0, 0), day_176 = c(NA,
>     NA, 0, 0, 0), day_177 = c(NA, NA, 0, 0, 0), day_178 = c(NA,
>     NA, 0, 0, 0), day_179 = c(NA, NA, 0, 0, 0), day_180 = c(NA,
>     NA, 0, 0, 0), day_181 = c(NA, NA, 0, 0, 0), day_182 = c(NA,
>     NA, 0, 0, 0), day_183 = c(NA, NA, 0, 0, 0), day_184 = c(NA,
>     NA, 0, 0, 0), day_185 = c(NA, NA, 0, 0, 0), day_186 = c(NA,
>     NA, 0, 0, 0), day_187 = c(NA, NA, 7.30728, 4.1202, 0), day_188 = c(NA,
>     NA, 2.56608, 0.5886, 0), day_189 = c(NA, NA, 0, 0, 0), day_190 = c(NA,
>     NA, 21.93156, 8.0082, 11.4318), day_191 = c(NA, NA, 3.13308,
>     0, 0), day_192 = c(NA, NA, 0, 0, 0.10692), day_193 = c(NA,
>     NA, 0, 0, 4.65912), day_194 = c(NA, NA, 0, 0, 0), day_195 = c(NA,
>     NA, 0, 0, 0), day_196 = c(NA, NA, 0, 0, 0), day_197 = c(NA,
>     NA, 0, 0, 0), day_198 = c(NA, NA, 0, 0, 0), day_199 = c(NA,
>     NA, 0, 0, 0), day_200 = c(NA, NA, 0, 0, 0), day_201 = c(NA,
>     NA, 0, 0, 0), day_202 = c(NA, NA, 0, 7.77276, 4.6602), day_203 = c(NA,
>     NA, 0, 0.86292, 0), day_204 = c(NA, NA, 0, 0, 0), day_205 = c(NA,
>     NA, 21.45528, 8.69616, 0), day_206 = c(NA, NA, 0, 0, 0),
>     day_207 = c(NA, NA, 0, 0, 0), day_208 = c(NA, NA, 0, 0, 0
>     ), day_209 = c(NA, NA, 0, 0, 0), day_210 = c(NA, NA, 0, 0,
>     0), day_211 = c(NA, NA, 0, 0, 0), day_212 = c(NA, NA, 0,
>     0, 0), day_213 = c(NA, NA, 0, 0, 0), day_214 = c(NA, NA,
>     0, 0, 0), day_215 = c(NA, NA, 0, 0, 0), day_216 = c(NA, NA,
>     0, 0, 0), day_217 = c(NA, NA, 0, 0, 0), day_218 = c(NA, NA,
>     0, 0, 0), day_219 = c(NA, NA, 0, 0, 0), day_220 = c(NA, NA,
>     6.10092, 10.85508, 13.22244), day_221 = c(NA, NA, 0.87156,
>     0, 0), day_222 = c(NA, NA, 0, 0, 15.46452), day_223 = c(NA,
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>     NA, 0, 0, 0), day_226 = c(NA, NA, 16.46028, 0, 0), day_227 = c(NA,
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>     NA, 2.7108, 0, 0), day_232 = c(NA, NA, 0, 0, 0), day_233 = c(NA,
>     NA, 0, 0, 0), day_234 = c(NA, NA, 0, 0, 0), day_235 = c(NA,
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>
>       [[alternative HTML version deleted]]
>
> ______________________________________________
> R-help at r-project.org<mailto: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 jakékoliv k němu připojené dokumenty jsou důvěrné a jsou určeny pouze jeho adresátům.
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V případě, že je tento e-mail součástí obchodního jednání:
- vyhrazuje si odesílatel právo ukončit kdykoliv jednání o uzavření smlouvy, a to z jakéhokoliv důvodu i bez uvedení důvodu.
- a obsahuje-li nabídku, je adresát oprávněn nabídku bezodkladně přijmout; Odesílatel tohoto e-mailu (nabídky) vylučuje přijetí nabídky ze strany příjemce s dodatkem či odchylkou.
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- odesílatel tohoto emailu informuje, že není oprávněn uzavírat za společnost žádné smlouvy s výjimkou případů, kdy k tomu byl písemně zmocněn nebo písemně pověřen a takové pověření nebo plná moc byly adresátovi tohoto emailu případně osobě, kterou adresát zastupuje, předloženy nebo jejich existence je adresátovi či osobě jím zastoupené známá.

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.
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- 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.



________________________________
Tento e-mail a jakékoliv k němu připojené dokumenty jsou důvěrné a jsou určeny pouze jeho adresátům.
Jestliže jste obdržel(a) tento e-mail omylem, informujte laskavě neprodleně jeho odesílatele. Obsah tohoto emailu i s přílohami a jeho kopie vymažte ze svého systému.
Nejste-li zamýšleným adresátem tohoto emailu, nejste oprávněni tento email jakkoliv užívat, rozšiřovat, kopírovat či zveřejňovat.
Odesílatel e-mailu neodpovídá za eventuální škodu způsobenou modifikacemi či zpožděním přenosu e-mailu.

V případě, že je tento e-mail součástí obchodního jednání:
- vyhrazuje si odesílatel právo ukončit kdykoliv jednání o uzavření smlouvy, a to z jakéhokoliv důvodu i bez uvedení důvodu.
- a obsahuje-li nabídku, je adresát oprávněn nabídku bezodkladně přijmout; Odesílatel tohoto e-mailu (nabídky) vylučuje přijetí nabídky ze strany příjemce s dodatkem či odchylkou.
- trvá odesílatel na tom, že příslušná smlouva je uzavřena teprve výslovným dosažením shody na všech jejích náležitostech.
- odesílatel tohoto emailu informuje, že není oprávněn uzavírat za společnost žádné smlouvy s výjimkou případů, kdy k tomu byl písemně zmocněn nebo písemně pověřen a takové pověření nebo plná moc byly adresátovi tohoto emailu případně osobě, kterou adresát zastupuje, předloženy nebo jejich existence je adresátovi či osobě jím zastoupené známá.

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.

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